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Browse files- v0.3/algebra.jsonl +0 -0
- v0.3/arithmetic.jsonl +0 -0
- v0.3/calculus.jsonl +5 -0
- v0.3/geometry.jsonl +270 -0
- v0.3/number_theory.jsonl +304 -0
- v0.3/probability.jsonl +11 -0
- v0.3/reasoning.jsonl +10 -0
- v0.3/statistics.jsonl +0 -0
- v0.3/trigonometry.jsonl +22 -0
- v0.3/word_problems.jsonl +60 -0
v0.3/algebra.jsonl
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v0.3/arithmetic.jsonl
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v0.3/calculus.jsonl
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{"problem": "Find the derivative of 9x.", "solution": "d/dx (9x) = 9.", "answer": "9", "topic": "calculus.derivatives", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
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{"problem": "Find the derivative of 3x.", "solution": "d/dx (3x) = 3.", "answer": "3", "topic": "calculus.derivatives", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
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{"problem": "Find the derivative of 8x.", "solution": "d/dx (8x) = 8.", "answer": "8", "topic": "calculus.derivatives", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
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{"problem": "Find the derivative of 10x.", "solution": "d/dx (10x) = 10.", "answer": "10", "topic": "calculus.derivatives", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
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{"problem": "Find the derivative of 7x.", "solution": "d/dx (7x) = 7.", "answer": "7", "topic": "calculus.derivatives", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
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v0.3/geometry.jsonl
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| 1 |
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{"problem": "Find the area of a rectangle with length 9 and width 2.", "solution": "Area = length × width = 9 × 2 = 18", "answer": "18", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 2 |
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{"problem": "Find the area of a rectangle with length 23 and width 4.", "solution": "Area = length × width = 23 × 4 = 92", "answer": "92", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 3 |
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{"problem": "Find the area of a rectangle with length 24 and width 6.", "solution": "Area = length × width = 24 × 6 = 144", "answer": "144", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 4 |
+
{"problem": "Find the area of a rectangle with length 26 and width 16.", "solution": "Area = length × width = 26 × 16 = 416", "answer": "416", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 5 |
+
{"problem": "Find the area of a rectangle with length 16 and width 2.", "solution": "Area = length × width = 16 × 2 = 32", "answer": "32", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 6 |
+
{"problem": "Find the area of a rectangle with length 28 and width 16.", "solution": "Area = length × width = 28 × 16 = 448", "answer": "448", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 7 |
+
{"problem": "Find the area of a rectangle with length 16 and width 16.", "solution": "Area = length × width = 16 × 16 = 256", "answer": "256", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 8 |
+
{"problem": "Find the area of a rectangle with length 27 and width 17.", "solution": "Area = length × width = 27 × 17 = 459", "answer": "459", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 9 |
+
{"problem": "Find the area of a rectangle with length 29 and width 5.", "solution": "Area = length × width = 29 × 5 = 145", "answer": "145", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 10 |
+
{"problem": "Find the area of a rectangle with length 30 and width 13.", "solution": "Area = length × width = 30 × 13 = 390", "answer": "390", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 11 |
+
{"problem": "Find the area of a rectangle with length 10 and width 16.", "solution": "Area = length × width = 10 × 16 = 160", "answer": "160", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 12 |
+
{"problem": "Find the area of a rectangle with length 15 and width 7.", "solution": "Area = length × width = 15 × 7 = 105", "answer": "105", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 13 |
+
{"problem": "Find the area of a rectangle with length 2 and width 15.", "solution": "Area = length × width = 2 × 15 = 30", "answer": "30", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 14 |
+
{"problem": "Find the area of a rectangle with length 4 and width 18.", "solution": "Area = length × width = 4 × 18 = 72", "answer": "72", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 15 |
+
{"problem": "Find the area of a rectangle with length 19 and width 18.", "solution": "Area = length × width = 19 × 18 = 342", "answer": "342", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 16 |
+
{"problem": "Find the area of a rectangle with length 16 and width 11.", "solution": "Area = length × width = 16 × 11 = 176", "answer": "176", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 17 |
+
{"problem": "Find the area of a rectangle with length 25 and width 2.", "solution": "Area = length × width = 25 × 2 = 50", "answer": "50", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 18 |
+
{"problem": "Find the area of a rectangle with length 28 and width 8.", "solution": "Area = length × width = 28 × 8 = 224", "answer": "224", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 19 |
+
{"problem": "Find the area of a rectangle with length 9 and width 11.", "solution": "Area = length × width = 9 × 11 = 99", "answer": "99", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 20 |
+
{"problem": "Find the area of a rectangle with length 3 and width 14.", "solution": "Area = length × width = 3 × 14 = 42", "answer": "42", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 21 |
+
{"problem": "Find the area of a rectangle with length 4 and width 5.", "solution": "Area = length × width = 4 × 5 = 20", "answer": "20", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 22 |
+
{"problem": "Find the area of a rectangle with length 12 and width 5.", "solution": "Area = length × width = 12 × 5 = 60", "answer": "60", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
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| 23 |
+
{"problem": "Find the area of a rectangle with length 5 and width 3.", "solution": "Area = length × width = 5 × 3 = 15", "answer": "15", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 24 |
+
{"problem": "Find the area of a rectangle with length 21 and width 19.", "solution": "Area = length × width = 21 × 19 = 399", "answer": "399", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 25 |
+
{"problem": "Find the area of a rectangle with length 29 and width 13.", "solution": "Area = length × width = 29 × 13 = 377", "answer": "377", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 26 |
+
{"problem": "Find the area of a rectangle with length 13 and width 20.", "solution": "Area = length × width = 13 × 20 = 260", "answer": "260", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 27 |
+
{"problem": "Find the area of a rectangle with length 26 and width 11.", "solution": "Area = length × width = 26 × 11 = 286", "answer": "286", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 28 |
+
{"problem": "Find the area of a rectangle with length 18 and width 18.", "solution": "Area = length × width = 18 × 18 = 324", "answer": "324", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 29 |
+
{"problem": "Find the area of a rectangle with length 14 and width 17.", "solution": "Area = length × width = 14 × 17 = 238", "answer": "238", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 30 |
+
{"problem": "Find the area of a rectangle with length 11 and width 15.", "solution": "Area = length × width = 11 × 15 = 165", "answer": "165", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 31 |
+
{"problem": "Find the area of a rectangle with length 19 and width 2.", "solution": "Area = length × width = 19 × 2 = 38", "answer": "38", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 32 |
+
{"problem": "Find the area of a rectangle with length 30 and width 18.", "solution": "Area = length × width = 30 × 18 = 540", "answer": "540", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 33 |
+
{"problem": "Find the area of a rectangle with length 28 and width 17.", "solution": "Area = length × width = 28 × 17 = 476", "answer": "476", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 34 |
+
{"problem": "Find the area of a rectangle with length 4 and width 9.", "solution": "Area = length × width = 4 × 9 = 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 35 |
+
{"problem": "Find the area of a rectangle with length 26 and width 17.", "solution": "Area = length × width = 26 × 17 = 442", "answer": "442", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 36 |
+
{"problem": "Find the area of a rectangle with length 11 and width 17.", "solution": "Area = length × width = 11 × 17 = 187", "answer": "187", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 37 |
+
{"problem": "Find the area of a rectangle with length 2 and width 10.", "solution": "Area = length × width = 2 × 10 = 20", "answer": "20", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 38 |
+
{"problem": "Find the area of a rectangle with length 25 and width 16.", "solution": "Area = length × width = 25 × 16 = 400", "answer": "400", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 39 |
+
{"problem": "Find the area of a rectangle with length 4 and width 13.", "solution": "Area = length × width = 4 × 13 = 52", "answer": "52", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 40 |
+
{"problem": "Find the area of a rectangle with length 9 and width 15.", "solution": "Area = length × width = 9 × 15 = 135", "answer": "135", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 41 |
+
{"problem": "Find the area of a rectangle with length 13 and width 10.", "solution": "Area = length × width = 13 × 10 = 130", "answer": "130", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 42 |
+
{"problem": "Find the area of a rectangle with length 9 and width 20.", "solution": "Area = length × width = 9 × 20 = 180", "answer": "180", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 43 |
+
{"problem": "Find the area of a rectangle with length 3 and width 17.", "solution": "Area = length × width = 3 × 17 = 51", "answer": "51", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 44 |
+
{"problem": "Find the area of a rectangle with length 30 and width 8.", "solution": "Area = length × width = 30 × 8 = 240", "answer": "240", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 45 |
+
{"problem": "Find the area of a rectangle with length 9 and width 19.", "solution": "Area = length × width = 9 × 19 = 171", "answer": "171", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 46 |
+
{"problem": "Find the area of a rectangle with length 11 and width 4.", "solution": "Area = length × width = 11 × 4 = 44", "answer": "44", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 47 |
+
{"problem": "Find the area of a rectangle with length 3 and width 15.", "solution": "Area = length × width = 3 × 15 = 45", "answer": "45", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 48 |
+
{"problem": "Find the area of a rectangle with length 13 and width 9.", "solution": "Area = length × width = 13 × 9 = 117", "answer": "117", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 49 |
+
{"problem": "Find the area of a rectangle with length 26 and width 14.", "solution": "Area = length × width = 26 × 14 = 364", "answer": "364", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 50 |
+
{"problem": "Find the area of a rectangle with length 6 and width 3.", "solution": "Area = length × width = 6 × 3 = 18", "answer": "18", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 51 |
+
{"problem": "Find the area of a rectangle with length 30 and width 4.", "solution": "Area = length × width = 30 × 4 = 120", "answer": "120", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 52 |
+
{"problem": "Find the area of a rectangle with length 27 and width 6.", "solution": "Area = length × width = 27 × 6 = 162", "answer": "162", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 53 |
+
{"problem": "Find the area of a rectangle with length 9 and width 14.", "solution": "Area = length × width = 9 × 14 = 126", "answer": "126", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 54 |
+
{"problem": "Find the area of a rectangle with length 22 and width 16.", "solution": "Area = length × width = 22 × 16 = 352", "answer": "352", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 55 |
+
{"problem": "Find the area of a rectangle with length 6 and width 15.", "solution": "Area = length × width = 6 × 15 = 90", "answer": "90", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 56 |
+
{"problem": "Find the area of a rectangle with length 18 and width 13.", "solution": "Area = length × width = 18 × 13 = 234", "answer": "234", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 57 |
+
{"problem": "Find the area of a rectangle with length 26 and width 7.", "solution": "Area = length × width = 26 × 7 = 182", "answer": "182", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 58 |
+
{"problem": "Find the area of a rectangle with length 27 and width 18.", "solution": "Area = length × width = 27 × 18 = 486", "answer": "486", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 59 |
+
{"problem": "Find the area of a rectangle with length 8 and width 6.", "solution": "Area = length × width = 8 × 6 = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 60 |
+
{"problem": "Find the area of a rectangle with length 2 and width 18.", "solution": "Area = length × width = 2 × 18 = 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 61 |
+
{"problem": "Find the area of a rectangle with length 29 and width 10.", "solution": "Area = length × width = 29 × 10 = 290", "answer": "290", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 62 |
+
{"problem": "Find the area of a rectangle with length 15 and width 5.", "solution": "Area = length × width = 15 × 5 = 75", "answer": "75", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 63 |
+
{"problem": "Find the area of a rectangle with length 19 and width 5.", "solution": "Area = length × width = 19 × 5 = 95", "answer": "95", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 64 |
+
{"problem": "Find the area of a rectangle with length 24 and width 18.", "solution": "Area = length × width = 24 × 18 = 432", "answer": "432", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 65 |
+
{"problem": "Find the area of a rectangle with length 20 and width 9.", "solution": "Area = length × width = 20 × 9 = 180", "answer": "180", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 66 |
+
{"problem": "Find the area of a rectangle with length 2 and width 13.", "solution": "Area = length × width = 2 × 13 = 26", "answer": "26", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 67 |
+
{"problem": "Find the area of a rectangle with length 28 and width 12.", "solution": "Area = length × width = 28 × 12 = 336", "answer": "336", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 68 |
+
{"problem": "Find the perimeter of a rectangle with length 12 and width 6.", "solution": "Perimeter = 2(length + width)\n= 2(12 + 6)\n= 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 69 |
+
{"problem": "Find the perimeter of a rectangle with length 13 and width 14.", "solution": "Perimeter = 2(length + width)\n= 2(13 + 14)\n= 54", "answer": "54", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 70 |
+
{"problem": "Find the perimeter of a rectangle with length 5 and width 5.", "solution": "Perimeter = 2(length + width)\n= 2(5 + 5)\n= 20", "answer": "20", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 71 |
+
{"problem": "Find the perimeter of a rectangle with length 28 and width 16.", "solution": "Perimeter = 2(length + width)\n= 2(28 + 16)\n= 88", "answer": "88", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 72 |
+
{"problem": "Find the perimeter of a rectangle with length 20 and width 7.", "solution": "Perimeter = 2(length + width)\n= 2(20 + 7)\n= 54", "answer": "54", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 73 |
+
{"problem": "Find the perimeter of a rectangle with length 5 and width 17.", "solution": "Perimeter = 2(length + width)\n= 2(5 + 17)\n= 44", "answer": "44", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 74 |
+
{"problem": "Find the perimeter of a rectangle with length 22 and width 10.", "solution": "Perimeter = 2(length + width)\n= 2(22 + 10)\n= 64", "answer": "64", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 75 |
+
{"problem": "Find the perimeter of a rectangle with length 15 and width 18.", "solution": "Perimeter = 2(length + width)\n= 2(15 + 18)\n= 66", "answer": "66", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 76 |
+
{"problem": "Find the perimeter of a rectangle with length 9 and width 3.", "solution": "Perimeter = 2(length + width)\n= 2(9 + 3)\n= 24", "answer": "24", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 77 |
+
{"problem": "Find the perimeter of a rectangle with length 23 and width 20.", "solution": "Perimeter = 2(length + width)\n= 2(23 + 20)\n= 86", "answer": "86", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 78 |
+
{"problem": "Find the perimeter of a rectangle with length 24 and width 4.", "solution": "Perimeter = 2(length + width)\n= 2(24 + 4)\n= 56", "answer": "56", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 79 |
+
{"problem": "Find the perimeter of a rectangle with length 9 and width 17.", "solution": "Perimeter = 2(length + width)\n= 2(9 + 17)\n= 52", "answer": "52", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 80 |
+
{"problem": "Find the perimeter of a rectangle with length 27 and width 7.", "solution": "Perimeter = 2(length + width)\n= 2(27 + 7)\n= 68", "answer": "68", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 81 |
+
{"problem": "Find the perimeter of a rectangle with length 7 and width 9.", "solution": "Perimeter = 2(length + width)\n= 2(7 + 9)\n= 32", "answer": "32", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 82 |
+
{"problem": "Find the perimeter of a rectangle with length 29 and width 20.", "solution": "Perimeter = 2(length + width)\n= 2(29 + 20)\n= 98", "answer": "98", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 83 |
+
{"problem": "Find the area of a rectangle with length 30 and width 20.", "solution": "Area = length × width\nArea = 30 × 20\nArea = 600", "answer": "600", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000012"}
|
| 84 |
+
{"problem": "Find the area of a rectangle with length 17 and width 9.", "solution": "Area = length × width\nArea = 17 × 9\nArea = 153", "answer": "153", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000023"}
|
| 85 |
+
{"problem": "Find the area of a square with side length 17.", "solution": "Area = side²\nArea = 17²\nArea = 289", "answer": "289", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000044"}
|
| 86 |
+
{"problem": "Find the area of a rectangle with length 20 and width 18.", "solution": "Area = length × width\nArea = 20 × 18\nArea = 360", "answer": "360", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000053"}
|
| 87 |
+
{"problem": "Find the area of a square with side length 2.", "solution": "Area = side²\nArea = 2²\nArea = 4", "answer": "4", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000067"}
|
| 88 |
+
{"problem": "Find the perimeter of a rectangle with length 13 and width 19.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(13 + 19)\nPerimeter = 64", "answer": "64", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000070"}
|
| 89 |
+
{"problem": "Find the perimeter of a rectangle with length 10 and width 10.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(10 + 10)\nPerimeter = 40", "answer": "40", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000080"}
|
| 90 |
+
{"problem": "Find the area of a square with side length 23.", "solution": "Area = side²\nArea = 23²\nArea = 529", "answer": "529", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000103"}
|
| 91 |
+
{"problem": "Find the area of a rectangle with length 25 and width 14.", "solution": "Area = length × width\nArea = 25 × 14\nArea = 350", "answer": "350", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000104"}
|
| 92 |
+
{"problem": "Find the perimeter of a rectangle with length 25 and width 18.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(25 + 18)\nPerimeter = 86", "answer": "86", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000121"}
|
| 93 |
+
{"problem": "Find the area of a rectangle with length 7 and width 2.", "solution": "Area = length × width\nArea = 7 × 2\nArea = 14", "answer": "14", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000123"}
|
| 94 |
+
{"problem": "Find the area of a rectangle with length 21 and width 9.", "solution": "Area = length × width\nArea = 21 × 9\nArea = 189", "answer": "189", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000126"}
|
| 95 |
+
{"problem": "Find the area of a square with side length 7.", "solution": "Area = side²\nArea = 7²\nArea = 49", "answer": "49", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000134"}
|
| 96 |
+
{"problem": "Find the area of a rectangle with length 19 and width 10.", "solution": "Area = length × width\nArea = 19 × 10\nArea = 190", "answer": "190", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000141"}
|
| 97 |
+
{"problem": "Find the area of a square with side length 12.", "solution": "Area = side²\nArea = 12²\nArea = 144", "answer": "144", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000142"}
|
| 98 |
+
{"problem": "Find the area of a square with side length 22.", "solution": "Area = side²\nArea = 22²\nArea = 484", "answer": "484", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000152"}
|
| 99 |
+
{"problem": "Find the perimeter of a rectangle with length 24 and width 11.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(24 + 11)\nPerimeter = 70", "answer": "70", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000159"}
|
| 100 |
+
{"problem": "Find the area of a rectangle with length 30 and width 12.", "solution": "Area = length × width\nArea = 30 × 12\nArea = 360", "answer": "360", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000187"}
|
| 101 |
+
{"problem": "Find the perimeter of a rectangle with length 9 and width 9.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(9 + 9)\nPerimeter = 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000195"}
|
| 102 |
+
{"problem": "Find the area of a rectangle with length 22 and width 10.", "solution": "Area = length × width\nArea = 22 × 10\nArea = 220", "answer": "220", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000203"}
|
| 103 |
+
{"problem": "Find the area of a square with side length 13.", "solution": "Area = side²\nArea = 13²\nArea = 169", "answer": "169", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000206"}
|
| 104 |
+
{"problem": "Find the perimeter of a rectangle with length 18 and width 5.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(18 + 5)\nPerimeter = 46", "answer": "46", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000227"}
|
| 105 |
+
{"problem": "Find the perimeter of a rectangle with length 22 and width 4.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(22 + 4)\nPerimeter = 52", "answer": "52", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000236"}
|
| 106 |
+
{"problem": "Find the area of a square with side length 19.", "solution": "Area = side²\nArea = 19²\nArea = 361", "answer": "361", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000241"}
|
| 107 |
+
{"problem": "Find the perimeter of a rectangle with length 9 and width 7.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(9 + 7)\nPerimeter = 32", "answer": "32", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000243"}
|
| 108 |
+
{"problem": "Find the perimeter of a rectangle with length 16 and width 4.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(16 + 4)\nPerimeter = 40", "answer": "40", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000245"}
|
| 109 |
+
{"problem": "Find the perimeter of a rectangle with length 21 and width 18.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(21 + 18)\nPerimeter = 78", "answer": "78", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000259"}
|
| 110 |
+
{"problem": "Find the perimeter of a rectangle with length 29 and width 15.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(29 + 15)\nPerimeter = 88", "answer": "88", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000272"}
|
| 111 |
+
{"problem": "Find the area of a square with side length 24.", "solution": "Area = side²\nArea = 24²\nArea = 576", "answer": "576", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000276"}
|
| 112 |
+
{"problem": "Find the area of a rectangle with length 10 and width 19.", "solution": "Area = length × width\nArea = 10 × 19\nArea = 190", "answer": "190", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000319"}
|
| 113 |
+
{"problem": "Find the perimeter of a rectangle with length 21 and width 14.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(21 + 14)\nPerimeter = 70", "answer": "70", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000320"}
|
| 114 |
+
{"problem": "Find the area of a rectangle with length 8 and width 12.", "solution": "Area = length × width\nArea = 8 × 12\nArea = 96", "answer": "96", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000325"}
|
| 115 |
+
{"problem": "Find the perimeter of a rectangle with length 26 and width 11.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(26 + 11)\nPerimeter = 74", "answer": "74", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000326"}
|
| 116 |
+
{"problem": "Find the area of a square with side length 16.", "solution": "Area = side²\nArea = 16²\nArea = 256", "answer": "256", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000333"}
|
| 117 |
+
{"problem": "Find the perimeter of a rectangle with length 6 and width 8.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(6 + 8)\nPerimeter = 28", "answer": "28", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000334"}
|
| 118 |
+
{"problem": "Find the area of a square with side length 25.", "solution": "Area = side²\nArea = 25²\nArea = 625", "answer": "625", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000339"}
|
| 119 |
+
{"problem": "Find the area of a square with side length 11.", "solution": "Area = side²\nArea = 11²\nArea = 121", "answer": "121", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000364"}
|
| 120 |
+
{"problem": "Find the area of a rectangle with length 17 and width 8.", "solution": "Area = length × width\nArea = 17 × 8\nArea = 136", "answer": "136", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000383"}
|
| 121 |
+
{"problem": "Find the area of a square with side length 3.", "solution": "Area = side²\nArea = 3²\nArea = 9", "answer": "9", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000384"}
|
| 122 |
+
{"problem": "Find the perimeter of a rectangle with length 8 and width 18.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(8 + 18)\nPerimeter = 52", "answer": "52", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000397"}
|
| 123 |
+
{"problem": "Find the area of a rectangle with length 2 and width 11.", "solution": "Area = length × width\nArea = 2 × 11\nArea = 22", "answer": "22", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000410"}
|
| 124 |
+
{"problem": "Find the area of a rectangle with length 12 and width 7.", "solution": "Area = length × width\nArea = 12 × 7\nArea = 84", "answer": "84", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000414"}
|
| 125 |
+
{"problem": "Find the area of a square with side length 9.", "solution": "Area = side²\nArea = 9²\nArea = 81", "answer": "81", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000427"}
|
| 126 |
+
{"problem": "Find the perimeter of a rectangle with length 5 and width 13.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(5 + 13)\nPerimeter = 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000434"}
|
| 127 |
+
{"problem": "Find the perimeter of a rectangle with length 2 and width 13.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(2 + 13)\nPerimeter = 30", "answer": "30", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000435"}
|
| 128 |
+
{"problem": "Find the area of a rectangle with length 10 and width 6.", "solution": "Area = length × width\nArea = 10 × 6\nArea = 60", "answer": "60", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000446"}
|
| 129 |
+
{"problem": "Find the perimeter of a rectangle with length 21 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(21 + 17)\nPerimeter = 76", "answer": "76", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000449"}
|
| 130 |
+
{"problem": "Find the area of a square with side length 8.", "solution": "Area = side²\nArea = 8²\nArea = 64", "answer": "64", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000453"}
|
| 131 |
+
{"problem": "Find the area of a rectangle with length 21 and width 18.", "solution": "Area = length × width\nArea = 21 × 18\nArea = 378", "answer": "378", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000467"}
|
| 132 |
+
{"problem": "Find the area of a rectangle with length 10 and width 10.", "solution": "Area = length × width\nArea = 10 × 10\nArea = 100", "answer": "100", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000471"}
|
| 133 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 11.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 11)\nPerimeter = 30", "answer": "30", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000474"}
|
| 134 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 6.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 6)\nPerimeter = 20", "answer": "20", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000478"}
|
| 135 |
+
{"problem": "Find the perimeter of a rectangle with length 12 and width 14.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(12 + 14)\nPerimeter = 52", "answer": "52", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000483"}
|
| 136 |
+
{"problem": "Find the perimeter of a rectangle with length 13 and width 11.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(13 + 11)\nPerimeter = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000504"}
|
| 137 |
+
{"problem": "Find the perimeter of a rectangle with length 26 and width 10.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(26 + 10)\nPerimeter = 72", "answer": "72", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000551"}
|
| 138 |
+
{"problem": "Find the perimeter of a rectangle with length 11 and width 8.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(11 + 8)\nPerimeter = 38", "answer": "38", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000557"}
|
| 139 |
+
{"problem": "Find the perimeter of a rectangle with length 29 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(29 + 17)\nPerimeter = 92", "answer": "92", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000564"}
|
| 140 |
+
{"problem": "Find the area of a rectangle with length 14 and width 13.", "solution": "Area = length × width\nArea = 14 × 13\nArea = 182", "answer": "182", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000566"}
|
| 141 |
+
{"problem": "Find the area of a rectangle with length 19 and width 14.", "solution": "Area = length × width\nArea = 19 × 14\nArea = 266", "answer": "266", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000570"}
|
| 142 |
+
{"problem": "Find the perimeter of a rectangle with length 6 and width 14.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(6 + 14)\nPerimeter = 40", "answer": "40", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000577"}
|
| 143 |
+
{"problem": "Find the area of a rectangle with length 27 and width 16.", "solution": "Area = length × width\nArea = 27 × 16\nArea = 432", "answer": "432", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000582"}
|
| 144 |
+
{"problem": "Find the perimeter of a rectangle with length 21 and width 19.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(21 + 19)\nPerimeter = 80", "answer": "80", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000588"}
|
| 145 |
+
{"problem": "Find the perimeter of a rectangle with length 16 and width 16.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(16 + 16)\nPerimeter = 64", "answer": "64", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000602"}
|
| 146 |
+
{"problem": "Find the area of a square with side length 6.", "solution": "Area = side²\nArea = 6²\nArea = 36", "answer": "36", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000603"}
|
| 147 |
+
{"problem": "Find the area of a square with side length 28.", "solution": "Area = side²\nArea = 28²\nArea = 784", "answer": "784", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000611"}
|
| 148 |
+
{"problem": "Find the perimeter of a rectangle with length 20 and width 2.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(20 + 2)\nPerimeter = 44", "answer": "44", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000612"}
|
| 149 |
+
{"problem": "Find the area of a square with side length 15.", "solution": "Area = side²\nArea = 15²\nArea = 225", "answer": "225", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000625"}
|
| 150 |
+
{"problem": "Find the perimeter of a rectangle with length 5 and width 20.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(5 + 20)\nPerimeter = 50", "answer": "50", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000646"}
|
| 151 |
+
{"problem": "Find the perimeter of a rectangle with length 22 and width 12.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(22 + 12)\nPerimeter = 68", "answer": "68", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000654"}
|
| 152 |
+
{"problem": "Find the area of a square with side length 26.", "solution": "Area = side²\nArea = 26²\nArea = 676", "answer": "676", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000656"}
|
| 153 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 7.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 7)\nPerimeter = 22", "answer": "22", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000677"}
|
| 154 |
+
{"problem": "Find the area of a rectangle with length 28 and width 2.", "solution": "Area = length × width\nArea = 28 × 2\nArea = 56", "answer": "56", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000679"}
|
| 155 |
+
{"problem": "Find the area of a rectangle with length 19 and width 6.", "solution": "Area = length × width\nArea = 19 × 6\nArea = 114", "answer": "114", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000681"}
|
| 156 |
+
{"problem": "Find the perimeter of a rectangle with length 27 and width 12.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(27 + 12)\nPerimeter = 78", "answer": "78", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000685"}
|
| 157 |
+
{"problem": "Find the perimeter of a rectangle with length 5 and width 10.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(5 + 10)\nPerimeter = 30", "answer": "30", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000691"}
|
| 158 |
+
{"problem": "Find the area of a rectangle with length 5 and width 2.", "solution": "Area = length × width\nArea = 5 × 2\nArea = 10", "answer": "10", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000693"}
|
| 159 |
+
{"problem": "Find the area of a rectangle with length 30 and width 19.", "solution": "Area = length × width\nArea = 30 × 19\nArea = 570", "answer": "570", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000748"}
|
| 160 |
+
{"problem": "Find the area of a rectangle with length 30 and width 10.", "solution": "Area = length × width\nArea = 30 × 10\nArea = 300", "answer": "300", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000790"}
|
| 161 |
+
{"problem": "Find the area of a rectangle with length 12 and width 11.", "solution": "Area = length × width\nArea = 12 × 11\nArea = 132", "answer": "132", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000799"}
|
| 162 |
+
{"problem": "Find the area of a rectangle with length 27 and width 2.", "solution": "Area = length × width\nArea = 27 × 2\nArea = 54", "answer": "54", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000803"}
|
| 163 |
+
{"problem": "Find the area of a rectangle with length 17 and width 7.", "solution": "Area = length × width\nArea = 17 × 7\nArea = 119", "answer": "119", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000824"}
|
| 164 |
+
{"problem": "Find the area of a square with side length 21.", "solution": "Area = side²\nArea = 21²\nArea = 441", "answer": "441", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000830"}
|
| 165 |
+
{"problem": "Find the area of a square with side length 20.", "solution": "Area = side²\nArea = 20²\nArea = 400", "answer": "400", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000832"}
|
| 166 |
+
{"problem": "Find the perimeter of a rectangle with length 19 and width 11.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(19 + 11)\nPerimeter = 60", "answer": "60", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000841"}
|
| 167 |
+
{"problem": "Find the perimeter of a rectangle with length 13 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(13 + 17)\nPerimeter = 60", "answer": "60", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000847"}
|
| 168 |
+
{"problem": "Find the area of a rectangle with length 25 and width 7.", "solution": "Area = length × width\nArea = 25 × 7\nArea = 175", "answer": "175", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000852"}
|
| 169 |
+
{"problem": "Find the perimeter of a rectangle with length 8 and width 7.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(8 + 7)\nPerimeter = 30", "answer": "30", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000853"}
|
| 170 |
+
{"problem": "Find the area of a rectangle with length 12 and width 9.", "solution": "Area = length × width\nArea = 12 × 9\nArea = 108", "answer": "108", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000856"}
|
| 171 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 9.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 9)\nPerimeter = 26", "answer": "26", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000885"}
|
| 172 |
+
{"problem": "Find the area of a rectangle with length 14 and width 9.", "solution": "Area = length × width\nArea = 14 × 9\nArea = 126", "answer": "126", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000897"}
|
| 173 |
+
{"problem": "Find the perimeter of a rectangle with length 2 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(2 + 17)\nPerimeter = 38", "answer": "38", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000899"}
|
| 174 |
+
{"problem": "Find the area of a square with side length 27.", "solution": "Area = side²\nArea = 27²\nArea = 729", "answer": "729", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000904"}
|
| 175 |
+
{"problem": "Find the perimeter of a rectangle with length 30 and width 6.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(30 + 6)\nPerimeter = 72", "answer": "72", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000918"}
|
| 176 |
+
{"problem": "Find the area of a rectangle with length 12 and width 20.", "solution": "Area = length × width\nArea = 12 × 20\nArea = 240", "answer": "240", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000920"}
|
| 177 |
+
{"problem": "Find the area of a square with side length 4.", "solution": "Area = side²\nArea = 4²\nArea = 16", "answer": "16", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000925"}
|
| 178 |
+
{"problem": "Find the perimeter of a rectangle with length 25 and width 3.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(25 + 3)\nPerimeter = 56", "answer": "56", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000946"}
|
| 179 |
+
{"problem": "Find the area of a rectangle with length 11 and width 9.", "solution": "Area = length × width\nArea = 11 × 9\nArea = 99", "answer": "99", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000961"}
|
| 180 |
+
{"problem": "Find the area of a rectangle with length 19 and width 12.", "solution": "Area = length × width\nArea = 19 × 12\nArea = 228", "answer": "228", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000981"}
|
| 181 |
+
{"problem": "Find the perimeter of a rectangle with length 27 and width 15.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(27 + 15)\nPerimeter = 84", "answer": "84", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000983"}
|
| 182 |
+
{"problem": "Find the area of a rectangle with length 28 and width 15.", "solution": "Area = length × width\nArea = 28 × 15\nArea = 420", "answer": "420", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000988"}
|
| 183 |
+
{"problem": "Find the area of a square with side length 18.", "solution": "Area = side²\nArea = 18²\nArea = 324", "answer": "324", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000990"}
|
| 184 |
+
{"problem": "Find the area of a rectangle with length 4 and width 14.", "solution": "Area = length × width\nArea = 4 × 14\nArea = 56", "answer": "56", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001010"}
|
| 185 |
+
{"problem": "Find the perimeter of a rectangle with length 18 and width 4.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(18 + 4)\nPerimeter = 44", "answer": "44", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001023"}
|
| 186 |
+
{"problem": "Find the area of a rectangle with length 3 and width 20.", "solution": "Area = length × width\nArea = 3 × 20\nArea = 60", "answer": "60", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001027"}
|
| 187 |
+
{"problem": "Find the area of a rectangle with length 25 and width 10.", "solution": "Area = length × width\nArea = 25 × 10\nArea = 250", "answer": "250", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001044"}
|
| 188 |
+
{"problem": "Find the perimeter of a rectangle with length 13 and width 16.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(13 + 16)\nPerimeter = 58", "answer": "58", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001052"}
|
| 189 |
+
{"problem": "Find the perimeter of a rectangle with length 28 and width 10.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(28 + 10)\nPerimeter = 76", "answer": "76", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001060"}
|
| 190 |
+
{"problem": "Find the area of a rectangle with length 12 and width 15.", "solution": "Area = length × width\nArea = 12 × 15\nArea = 180", "answer": "180", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001064"}
|
| 191 |
+
{"problem": "Find the area of a square with side length 30.", "solution": "Area = side²\nArea = 30²\nArea = 900", "answer": "900", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001080"}
|
| 192 |
+
{"problem": "Find the perimeter of a rectangle with length 30 and width 18.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(30 + 18)\nPerimeter = 96", "answer": "96", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001092"}
|
| 193 |
+
{"problem": "Find the perimeter of a rectangle with length 12 and width 19.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(12 + 19)\nPerimeter = 62", "answer": "62", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001117"}
|
| 194 |
+
{"problem": "Find the area of a rectangle with length 4 and width 4.", "solution": "Area = length × width\nArea = 4 × 4\nArea = 16", "answer": "16", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001128"}
|
| 195 |
+
{"problem": "Find the perimeter of a rectangle with length 27 and width 9.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(27 + 9)\nPerimeter = 72", "answer": "72", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001140"}
|
| 196 |
+
{"problem": "Find the area of a rectangle with length 29 and width 20.", "solution": "Area = length × width\nArea = 29 × 20\nArea = 580", "answer": "580", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001150"}
|
| 197 |
+
{"problem": "Find the area of a rectangle with length 17 and width 19.", "solution": "Area = length × width\nArea = 17 × 19\nArea = 323", "answer": "323", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001151"}
|
| 198 |
+
{"problem": "Find the area of a rectangle with length 6 and width 14.", "solution": "Area = length × width\nArea = 6 × 14\nArea = 84", "answer": "84", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001165"}
|
| 199 |
+
{"problem": "Find the perimeter of a rectangle with length 20 and width 12.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(20 + 12)\nPerimeter = 64", "answer": "64", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001181"}
|
| 200 |
+
{"problem": "Find the area of a square with side length 14.", "solution": "Area = side²\nArea = 14²\nArea = 196", "answer": "196", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001192"}
|
| 201 |
+
{"problem": "Find the perimeter of a rectangle with length 2 and width 2.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(2 + 2)\nPerimeter = 8", "answer": "8", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001199"}
|
| 202 |
+
{"problem": "Find the area of a square with side length 29.", "solution": "Area = side²\nArea = 29²\nArea = 841", "answer": "841", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001207"}
|
| 203 |
+
{"problem": "Find the perimeter of a rectangle with length 6 and width 12.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(6 + 12)\nPerimeter = 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001218"}
|
| 204 |
+
{"problem": "Find the perimeter of a rectangle with length 24 and width 18.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(24 + 18)\nPerimeter = 84", "answer": "84", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001220"}
|
| 205 |
+
{"problem": "Find the area of a rectangle with length 11 and width 12.", "solution": "Area = length × width\nArea = 11 × 12\nArea = 132", "answer": "132", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001225"}
|
| 206 |
+
{"problem": "Find the area of a square with side length 5.", "solution": "Area = side²\nArea = 5²\nArea = 25", "answer": "25", "topic": "geometry.squares", "difficulty": "easy", "education_level": "primary", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001229"}
|
| 207 |
+
{"problem": "Find the area of a rectangle with length 29 and width 12.", "solution": "Area = length �� width\nArea = 29 × 12\nArea = 348", "answer": "348", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001233"}
|
| 208 |
+
{"problem": "Find the area of a rectangle with length 6 and width 19.", "solution": "Area = length × width\nArea = 6 × 19\nArea = 114", "answer": "114", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001237"}
|
| 209 |
+
{"problem": "Find the perimeter of a rectangle with length 24 and width 9.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(24 + 9)\nPerimeter = 66", "answer": "66", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001258"}
|
| 210 |
+
{"problem": "Find the area of a rectangle with length 13 and width 3.", "solution": "Area = length × width\nArea = 13 × 3\nArea = 39", "answer": "39", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001292"}
|
| 211 |
+
{"problem": "Find the area of a rectangle with length 12 and width 13.", "solution": "Area = length × width\nArea = 12 × 13\nArea = 156", "answer": "156", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001299"}
|
| 212 |
+
{"problem": "Find the area of a rectangle with length 16 and width 6.", "solution": "Area = length × width\nArea = 16 × 6\nArea = 96", "answer": "96", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001313"}
|
| 213 |
+
{"problem": "Find the perimeter of a rectangle with length 7 and width 7.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(7 + 7)\nPerimeter = 28", "answer": "28", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001322"}
|
| 214 |
+
{"problem": "Find the area of a rectangle with length 7 and width 15.", "solution": "Area = length × width\nArea = 7 × 15\nArea = 105", "answer": "105", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001324"}
|
| 215 |
+
{"problem": "Find the area of a rectangle with length 6 and width 12.", "solution": "Area = length × width\nArea = 6 × 12\nArea = 72", "answer": "72", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001326"}
|
| 216 |
+
{"problem": "Find the area of a rectangle with length 6 and width 10.", "solution": "Area = length × width\nArea = 6 × 10\nArea = 60", "answer": "60", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001328"}
|
| 217 |
+
{"problem": "Find the area of a rectangle with length 16 and width 20.", "solution": "Area = length × width\nArea = 16 × 20\nArea = 320", "answer": "320", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001337"}
|
| 218 |
+
{"problem": "Find the area of a rectangle with length 29 and width 16.", "solution": "Area = length × width\nArea = 29 × 16\nArea = 464", "answer": "464", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001344"}
|
| 219 |
+
{"problem": "Find the perimeter of a rectangle with length 20 and width 4.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(20 + 4)\nPerimeter = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001364"}
|
| 220 |
+
{"problem": "Find the perimeter of a rectangle with length 23 and width 11.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(23 + 11)\nPerimeter = 68", "answer": "68", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001366"}
|
| 221 |
+
{"problem": "Find the perimeter of a rectangle with length 30 and width 19.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(30 + 19)\nPerimeter = 98", "answer": "98", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001399"}
|
| 222 |
+
{"problem": "Find the area of a rectangle with length 5 and width 13.", "solution": "Area = length × width\nArea = 5 × 13\nArea = 65", "answer": "65", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001416"}
|
| 223 |
+
{"problem": "Find the perimeter of a rectangle with length 5 and width 3.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(5 + 3)\nPerimeter = 16", "answer": "16", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001444"}
|
| 224 |
+
{"problem": "Find the area of a rectangle with length 21 and width 6.", "solution": "Area = length × width\nArea = 21 × 6\nArea = 126", "answer": "126", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001456"}
|
| 225 |
+
{"problem": "Find the perimeter of a rectangle with length 17 and width 7.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(17 + 7)\nPerimeter = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001465"}
|
| 226 |
+
{"problem": "Find the area of a rectangle with length 5 and width 11.", "solution": "Area = length × width\nArea = 5 × 11\nArea = 55", "answer": "55", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001467"}
|
| 227 |
+
{"problem": "Find the area of a rectangle with length 24 and width 15.", "solution": "Area = length × width\nArea = 24 × 15\nArea = 360", "answer": "360", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001474"}
|
| 228 |
+
{"problem": "Find the area of a rectangle with length 17 and width 10.", "solution": "Area = length × width\nArea = 17 × 10\nArea = 170", "answer": "170", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001495"}
|
| 229 |
+
{"problem": "Find the area of a rectangle with length 19 and width 9.", "solution": "Area = length × width\nArea = 19 × 9\nArea = 171", "answer": "171", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001513"}
|
| 230 |
+
{"problem": "Find the perimeter of a rectangle with length 10 and width 2.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(10 + 2)\nPerimeter = 24", "answer": "24", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001523"}
|
| 231 |
+
{"problem": "Find the perimeter of a rectangle with length 19 and width 5.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(19 + 5)\nPerimeter = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001529"}
|
| 232 |
+
{"problem": "Find the area of a rectangle with length 29 and width 14.", "solution": "Area = length × width\nArea = 29 × 14\nArea = 406", "answer": "406", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001541"}
|
| 233 |
+
{"problem": "Find the perimeter of a rectangle with length 14 and width 2.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(14 + 2)\nPerimeter = 32", "answer": "32", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001551"}
|
| 234 |
+
{"problem": "Find the area of a rectangle with length 14 and width 16.", "solution": "Area = length × width\nArea = 14 × 16\nArea = 224", "answer": "224", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001557"}
|
| 235 |
+
{"problem": "Find the perimeter of a rectangle with length 15 and width 3.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(15 + 3)\nPerimeter = 36", "answer": "36", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001568"}
|
| 236 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 8.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 8)\nPerimeter = 24", "answer": "24", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001570"}
|
| 237 |
+
{"problem": "Find the perimeter of a rectangle with length 10 and width 14.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(10 + 14)\nPerimeter = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001577"}
|
| 238 |
+
{"problem": "Find the area of a rectangle with length 26 and width 13.", "solution": "Area = length × width\nArea = 26 × 13\nArea = 338", "answer": "338", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001592"}
|
| 239 |
+
{"problem": "Find the area of a rectangle with length 15 and width 20.", "solution": "Area = length × width\nArea = 15 × 20\nArea = 300", "answer": "300", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001594"}
|
| 240 |
+
{"problem": "Find the area of a rectangle with length 17 and width 17.", "solution": "Area = length × width\nArea = 17 × 17\nArea = 289", "answer": "289", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001607"}
|
| 241 |
+
{"problem": "Find the area of a rectangle with length 18 and width 17.", "solution": "Area = length × width\nArea = 18 × 17\nArea = 306", "answer": "306", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001610"}
|
| 242 |
+
{"problem": "Find the perimeter of a rectangle with length 29 and width 9.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(29 + 9)\nPerimeter = 76", "answer": "76", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001623"}
|
| 243 |
+
{"problem": "Find the area of a rectangle with length 22 and width 3.", "solution": "Area = length × width\nArea = 22 × 3\nArea = 66", "answer": "66", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001626"}
|
| 244 |
+
{"problem": "Find the perimeter of a rectangle with length 12 and width 15.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(12 + 15)\nPerimeter = 54", "answer": "54", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001671"}
|
| 245 |
+
{"problem": "Find the area of a rectangle with length 7 and width 9.", "solution": "Area = length × width\nArea = 7 × 9\nArea = 63", "answer": "63", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001681"}
|
| 246 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 17)\nPerimeter = 42", "answer": "42", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001713"}
|
| 247 |
+
{"problem": "Find the area of a rectangle with length 23 and width 12.", "solution": "Area = length × width\nArea = 23 × 12\nArea = 276", "answer": "276", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001718"}
|
| 248 |
+
{"problem": "Find the perimeter of a rectangle with length 27 and width 10.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(27 + 10)\nPerimeter = 74", "answer": "74", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001727"}
|
| 249 |
+
{"problem": "Find the area of a rectangle with length 13 and width 2.", "solution": "Area = length × width\nArea = 13 × 2\nArea = 26", "answer": "26", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001745"}
|
| 250 |
+
{"problem": "Find the perimeter of a rectangle with length 24 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(24 + 17)\nPerimeter = 82", "answer": "82", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001754"}
|
| 251 |
+
{"problem": "Find the area of a rectangle with length 16 and width 9.", "solution": "Area = length × width\nArea = 16 × 9\nArea = 144", "answer": "144", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001769"}
|
| 252 |
+
{"problem": "Find the area of a rectangle with length 28 and width 6.", "solution": "Area = length × width\nArea = 28 × 6\nArea = 168", "answer": "168", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001773"}
|
| 253 |
+
{"problem": "Find the perimeter of a rectangle with length 3 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(3 + 17)\nPerimeter = 40", "answer": "40", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001785"}
|
| 254 |
+
{"problem": "Find the perimeter of a rectangle with length 20 and width 17.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(20 + 17)\nPerimeter = 74", "answer": "74", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001798"}
|
| 255 |
+
{"problem": "Find the area of a rectangle with length 8 and width 9.", "solution": "Area = length × width\nArea = 8 × 9\nArea = 72", "answer": "72", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001802"}
|
| 256 |
+
{"problem": "Find the area of a rectangle with length 8 and width 2.", "solution": "Area = length × width\nArea = 8 × 2\nArea = 16", "answer": "16", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001809"}
|
| 257 |
+
{"problem": "Find the area of a rectangle with length 20 and width 7.", "solution": "Area = length × width\nArea = 20 × 7\nArea = 140", "answer": "140", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001838"}
|
| 258 |
+
{"problem": "Find the perimeter of a rectangle with length 14 and width 3.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(14 + 3)\nPerimeter = 34", "answer": "34", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001852"}
|
| 259 |
+
{"problem": "Find the perimeter of a rectangle with length 14 and width 15.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(14 + 15)\nPerimeter = 58", "answer": "58", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001868"}
|
| 260 |
+
{"problem": "Find the area of a rectangle with length 10 and width 18.", "solution": "Area = length × width\nArea = 10 × 18\nArea = 180", "answer": "180", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001876"}
|
| 261 |
+
{"problem": "Find the perimeter of a rectangle with length 2 and width 8.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(2 + 8)\nPerimeter = 20", "answer": "20", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001884"}
|
| 262 |
+
{"problem": "Find the area of a rectangle with length 3 and width 7.", "solution": "Area = length × width\nArea = 3 × 7\nArea = 21", "answer": "21", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001890"}
|
| 263 |
+
{"problem": "Find the area of a rectangle with length 22 and width 19.", "solution": "Area = length × width\nArea = 22 × 19\nArea = 418", "answer": "418", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001925"}
|
| 264 |
+
{"problem": "Find the area of a rectangle with length 3 and width 11.", "solution": "Area = length × width\nArea = 3 × 11\nArea = 33", "answer": "33", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001927"}
|
| 265 |
+
{"problem": "Find the perimeter of a rectangle with length 3 and width 13.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(3 + 13)\nPerimeter = 32", "answer": "32", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001929"}
|
| 266 |
+
{"problem": "Find the perimeter of a rectangle with length 4 and width 20.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(4 + 20)\nPerimeter = 48", "answer": "48", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001944"}
|
| 267 |
+
{"problem": "Find the perimeter of a rectangle with length 30 and width 5.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(30 + 5)\nPerimeter = 70", "answer": "70", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001960"}
|
| 268 |
+
{"problem": "Find the area of a rectangle with length 7 and width 17.", "solution": "Area = length × width\nArea = 7 × 17\nArea = 119", "answer": "119", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001963"}
|
| 269 |
+
{"problem": "Find the perimeter of a rectangle with length 19 and width 14.", "solution": "Perimeter = 2(length + width)\nPerimeter = 2(19 + 14)\nPerimeter = 66", "answer": "66", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001972"}
|
| 270 |
+
{"problem": "Find the area of a rectangle with length 19 and width 7.", "solution": "Area = length × width\nArea = 19 × 7\nArea = 133", "answer": "133", "topic": "geometry.rectangles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001980"}
|
v0.3/number_theory.jsonl
ADDED
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| 1 |
+
{"problem": "Is 82 a prime number?", "solution": "82 is divisible by 2, so it is not prime.", "answer": "No", "topic": "number_theory.primes", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 2 |
+
{"problem": "Is 20 a prime number?", "solution": "20 is divisible by 2, so it is not prime.", "answer": "No", "topic": "number_theory.primes", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 3 |
+
{"problem": "Is 54 a prime number?", "solution": "54 is divisible by 2, so it is not prime.", "answer": "No", "topic": "number_theory.primes", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 4 |
+
{"problem": "Find all positive factors of 57.", "solution": "The positive factors of 57 are 1, 3, 19, 57.", "answer": "1, 3, 19, 57", "topic": "number_theory.factors", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 5 |
+
{"problem": "Find all positive factors of 60.", "solution": "The positive factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.", "answer": "1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60", "topic": "number_theory.factors", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 6 |
+
{"problem": "Find all positive factors of 93.", "solution": "The positive factors of 93 are 1, 3, 31, 93.", "answer": "1, 3, 31, 93", "topic": "number_theory.factors", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 7 |
+
{"problem": "Find all positive factors of 77.", "solution": "The positive factors of 77 are 1, 7, 11, 77.", "answer": "1, 7, 11, 77", "topic": "number_theory.factors", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 8 |
+
{"problem": "Is 79 a prime number?", "solution": "79 has no positive divisors other than 1 and 79, so it is prime.", "answer": "Yes", "topic": "number_theory.primes", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 9 |
+
{"problem": "Is 22 a prime number?", "solution": "22 is divisible by 2, so it is not prime.", "answer": "No", "topic": "number_theory.primes", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 10 |
+
{"problem": "Find all positive factors of 56.", "solution": "The positive factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.", "answer": "1, 2, 4, 7, 8, 14, 28, 56", "topic": "number_theory.factors", "difficulty": "medium", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 11 |
+
{"problem": "Is 46 a prime number?", "solution": "46 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000008"}
|
| 12 |
+
{"problem": "Find the least common multiple (LCM) of 11 and 16.", "solution": "LCM(11, 16) = 176", "answer": "176", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000011"}
|
| 13 |
+
{"problem": "Is 55 a prime number?", "solution": "55 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000018"}
|
| 14 |
+
{"problem": "Is 73 a prime number?", "solution": "73 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000025"}
|
| 15 |
+
{"problem": "Is 59 a prime number?", "solution": "59 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000032"}
|
| 16 |
+
{"problem": "Find the greatest common divisor (GCD) of 97 and 93.", "solution": "GCD(97, 93) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000040"}
|
| 17 |
+
{"problem": "Is 61 a prime number?", "solution": "61 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000063"}
|
| 18 |
+
{"problem": "Find the least common multiple (LCM) of 16 and 7.", "solution": "LCM(16, 7) = 112", "answer": "112", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000064"}
|
| 19 |
+
{"problem": "Find the greatest common divisor (GCD) of 24 and 39.", "solution": "GCD(24, 39) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000066"}
|
| 20 |
+
{"problem": "Find the greatest common divisor (GCD) of 83 and 84.", "solution": "GCD(83, 84) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000072"}
|
| 21 |
+
{"problem": "Find the least common multiple (LCM) of 20 and 10.", "solution": "LCM(20, 10) = 20", "answer": "20", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000074"}
|
| 22 |
+
{"problem": "Find all positive factors of 14.", "solution": "The positive factors of 14 are: 1, 2, 7, 14", "answer": "1, 2, 7, 14", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000083"}
|
| 23 |
+
{"problem": "Is 19 a prime number?", "solution": "19 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000112"}
|
| 24 |
+
{"problem": "Find the least common multiple (LCM) of 11 and 19.", "solution": "LCM(11, 19) = 209", "answer": "209", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000118"}
|
| 25 |
+
{"problem": "Find the least common multiple (LCM) of 13 and 6.", "solution": "LCM(13, 6) = 78", "answer": "78", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000119"}
|
| 26 |
+
{"problem": "Find the greatest common divisor (GCD) of 68 and 45.", "solution": "GCD(68, 45) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000140"}
|
| 27 |
+
{"problem": "Find the greatest common divisor (GCD) of 49 and 85.", "solution": "GCD(49, 85) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000144"}
|
| 28 |
+
{"problem": "Is 18 a prime number?", "solution": "18 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000148"}
|
| 29 |
+
{"problem": "Find the greatest common divisor (GCD) of 91 and 92.", "solution": "GCD(91, 92) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000155"}
|
| 30 |
+
{"problem": "Find the greatest common divisor (GCD) of 65 and 17.", "solution": "GCD(65, 17) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000162"}
|
| 31 |
+
{"problem": "Is 6 a prime number?", "solution": "6 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000166"}
|
| 32 |
+
{"problem": "Is 98 a prime number?", "solution": "98 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000168"}
|
| 33 |
+
{"problem": "Is 69 a prime number?", "solution": "69 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000176"}
|
| 34 |
+
{"problem": "Find the greatest common divisor (GCD) of 74 and 29.", "solution": "GCD(74, 29) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000179"}
|
| 35 |
+
{"problem": "Is 44 a prime number?", "solution": "44 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000191"}
|
| 36 |
+
{"problem": "Find the least common multiple (LCM) of 25 and 13.", "solution": "LCM(25, 13) = 325", "answer": "325", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000204"}
|
| 37 |
+
{"problem": "Is 89 a prime number?", "solution": "89 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000208"}
|
| 38 |
+
{"problem": "Is 4 a prime number?", "solution": "4 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000216"}
|
| 39 |
+
{"problem": "Find the least common multiple (LCM) of 9 and 29.", "solution": "LCM(9, 29) = 261", "answer": "261", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000224"}
|
| 40 |
+
{"problem": "Find the greatest common divisor (GCD) of 38 and 12.", "solution": "GCD(38, 12) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000237"}
|
| 41 |
+
{"problem": "Find the least common multiple (LCM) of 21 and 22.", "solution": "LCM(21, 22) = 462", "answer": "462", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000238"}
|
| 42 |
+
{"problem": "Find all positive factors of 75.", "solution": "The positive factors of 75 are: 1, 3, 5, 15, 25, 75", "answer": "1, 3, 5, 15, 25, 75", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000240"}
|
| 43 |
+
{"problem": "Find all positive factors of 26.", "solution": "The positive factors of 26 are: 1, 2, 13, 26", "answer": "1, 2, 13, 26", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000253"}
|
| 44 |
+
{"problem": "Find the least common multiple (LCM) of 6 and 14.", "solution": "LCM(6, 14) = 42", "answer": "42", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000262"}
|
| 45 |
+
{"problem": "Find the least common multiple (LCM) of 24 and 26.", "solution": "LCM(24, 26) = 312", "answer": "312", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000268"}
|
| 46 |
+
{"problem": "Find the least common multiple (LCM) of 27 and 23.", "solution": "LCM(27, 23) = 621", "answer": "621", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000277"}
|
| 47 |
+
{"problem": "Find all positive factors of 66.", "solution": "The positive factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66", "answer": "1, 2, 3, 6, 11, 22, 33, 66", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000293"}
|
| 48 |
+
{"problem": "Find the least common multiple (LCM) of 15 and 13.", "solution": "LCM(15, 13) = 195", "answer": "195", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000317"}
|
| 49 |
+
{"problem": "Find the greatest common divisor (GCD) of 71 and 79.", "solution": "GCD(71, 79) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000324"}
|
| 50 |
+
{"problem": "Is 13 a prime number?", "solution": "13 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000331"}
|
| 51 |
+
{"problem": "Find the greatest common divisor (GCD) of 72 and 93.", "solution": "GCD(72, 93) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000340"}
|
| 52 |
+
{"problem": "Find the greatest common divisor (GCD) of 70 and 62.", "solution": "GCD(70, 62) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000342"}
|
| 53 |
+
{"problem": "Is 88 a prime number?", "solution": "88 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000344"}
|
| 54 |
+
{"problem": "Find all positive factors of 53.", "solution": "The positive factors of 53 are: 1, 53", "answer": "1, 53", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000370"}
|
| 55 |
+
{"problem": "Find the greatest common divisor (GCD) of 13 and 98.", "solution": "GCD(13, 98) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000372"}
|
| 56 |
+
{"problem": "Find the least common multiple (LCM) of 7 and 20.", "solution": "LCM(7, 20) = 140", "answer": "140", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000373"}
|
| 57 |
+
{"problem": "Find the greatest common divisor (GCD) of 73 and 47.", "solution": "GCD(73, 47) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000374"}
|
| 58 |
+
{"problem": "Find all positive factors of 17.", "solution": "The positive factors of 17 are: 1, 17", "answer": "1, 17", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000392"}
|
| 59 |
+
{"problem": "Is 72 a prime number?", "solution": "72 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000404"}
|
| 60 |
+
{"problem": "Is 29 a prime number?", "solution": "29 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000431"}
|
| 61 |
+
{"problem": "Find the least common multiple (LCM) of 24 and 2.", "solution": "LCM(24, 2) = 24", "answer": "24", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000443"}
|
| 62 |
+
{"problem": "Find the greatest common divisor (GCD) of 21 and 93.", "solution": "GCD(21, 93) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000448"}
|
| 63 |
+
{"problem": "Is 38 a prime number?", "solution": "38 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000455"}
|
| 64 |
+
{"problem": "Is 41 a prime number?", "solution": "41 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000468"}
|
| 65 |
+
{"problem": "Find the greatest common divisor (GCD) of 66 and 61.", "solution": "GCD(66, 61) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000472"}
|
| 66 |
+
{"problem": "Find the greatest common divisor (GCD) of 38 and 33.", "solution": "GCD(38, 33) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000473"}
|
| 67 |
+
{"problem": "Find the greatest common divisor (GCD) of 74 and 23.", "solution": "GCD(74, 23) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000480"}
|
| 68 |
+
{"problem": "Find the least common multiple (LCM) of 15 and 3.", "solution": "LCM(15, 3) = 15", "answer": "15", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000490"}
|
| 69 |
+
{"problem": "Find the least common multiple (LCM) of 12 and 25.", "solution": "LCM(12, 25) = 300", "answer": "300", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000491"}
|
| 70 |
+
{"problem": "Find the greatest common divisor (GCD) of 78 and 53.", "solution": "GCD(78, 53) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000493"}
|
| 71 |
+
{"problem": "Find all positive factors of 20.", "solution": "The positive factors of 20 are: 1, 2, 4, 5, 10, 20", "answer": "1, 2, 4, 5, 10, 20", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000495"}
|
| 72 |
+
{"problem": "Find all positive factors of 91.", "solution": "The positive factors of 91 are: 1, 7, 13, 91", "answer": "1, 7, 13, 91", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000503"}
|
| 73 |
+
{"problem": "Find the greatest common divisor (GCD) of 89 and 76.", "solution": "GCD(89, 76) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000512"}
|
| 74 |
+
{"problem": "Find the greatest common divisor (GCD) of 53 and 67.", "solution": "GCD(53, 67) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000516"}
|
| 75 |
+
{"problem": "Find the greatest common divisor (GCD) of 40 and 100.", "solution": "GCD(40, 100) = 20", "answer": "20", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000521"}
|
| 76 |
+
{"problem": "Is 40 a prime number?", "solution": "40 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000536"}
|
| 77 |
+
{"problem": "Is 68 a prime number?", "solution": "68 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000537"}
|
| 78 |
+
{"problem": "Find the greatest common divisor (GCD) of 17 and 37.", "solution": "GCD(17, 37) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000539"}
|
| 79 |
+
{"problem": "Find the greatest common divisor (GCD) of 39 and 52.", "solution": "GCD(39, 52) = 13", "answer": "13", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000548"}
|
| 80 |
+
{"problem": "Is 3 a prime number?", "solution": "3 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000553"}
|
| 81 |
+
{"problem": "Find the least common multiple (LCM) of 9 and 28.", "solution": "LCM(9, 28) = 252", "answer": "252", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000554"}
|
| 82 |
+
{"problem": "Find the greatest common divisor (GCD) of 34 and 78.", "solution": "GCD(34, 78) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000556"}
|
| 83 |
+
{"problem": "Find the least common multiple (LCM) of 4 and 27.", "solution": "LCM(4, 27) = 108", "answer": "108", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000562"}
|
| 84 |
+
{"problem": "Find the greatest common divisor (GCD) of 78 and 80.", "solution": "GCD(78, 80) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000576"}
|
| 85 |
+
{"problem": "Find all positive factors of 45.", "solution": "The positive factors of 45 are: 1, 3, 5, 9, 15, 45", "answer": "1, 3, 5, 9, 15, 45", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000584"}
|
| 86 |
+
{"problem": "Find the least common multiple (LCM) of 17 and 10.", "solution": "LCM(17, 10) = 170", "answer": "170", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000585"}
|
| 87 |
+
{"problem": "Find all positive factors of 69.", "solution": "The positive factors of 69 are: 1, 3, 23, 69", "answer": "1, 3, 23, 69", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000591"}
|
| 88 |
+
{"problem": "Find all positive factors of 86.", "solution": "The positive factors of 86 are: 1, 2, 43, 86", "answer": "1, 2, 43, 86", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000596"}
|
| 89 |
+
{"problem": "Find all positive factors of 70.", "solution": "The positive factors of 70 are: 1, 2, 5, 7, 10, 14, 35, 70", "answer": "1, 2, 5, 7, 10, 14, 35, 70", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000598"}
|
| 90 |
+
{"problem": "Find all positive factors of 68.", "solution": "The positive factors of 68 are: 1, 2, 4, 17, 34, 68", "answer": "1, 2, 4, 17, 34, 68", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000621"}
|
| 91 |
+
{"problem": "Find the least common multiple (LCM) of 26 and 23.", "solution": "LCM(26, 23) = 598", "answer": "598", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000624"}
|
| 92 |
+
{"problem": "Is 90 a prime number?", "solution": "90 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000631"}
|
| 93 |
+
{"problem": "Find all positive factors of 80.", "solution": "The positive factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80", "answer": "1, 2, 4, 5, 8, 10, 16, 20, 40, 80", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000647"}
|
| 94 |
+
{"problem": "Find the least common multiple (LCM) of 17 and 3.", "solution": "LCM(17, 3) = 51", "answer": "51", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000649"}
|
| 95 |
+
{"problem": "Find the least common multiple (LCM) of 8 and 19.", "solution": "LCM(8, 19) = 152", "answer": "152", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000659"}
|
| 96 |
+
{"problem": "Find the greatest common divisor (GCD) of 75 and 75.", "solution": "GCD(75, 75) = 75", "answer": "75", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000670"}
|
| 97 |
+
{"problem": "Find all positive factors of 37.", "solution": "The positive factors of 37 are: 1, 37", "answer": "1, 37", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000673"}
|
| 98 |
+
{"problem": "Find all positive factors of 94.", "solution": "The positive factors of 94 are: 1, 2, 47, 94", "answer": "1, 2, 47, 94", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000686"}
|
| 99 |
+
{"problem": "Find the least common multiple (LCM) of 25 and 21.", "solution": "LCM(25, 21) = 525", "answer": "525", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000689"}
|
| 100 |
+
{"problem": "Find all positive factors of 27.", "solution": "The positive factors of 27 are: 1, 3, 9, 27", "answer": "1, 3, 9, 27", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000692"}
|
| 101 |
+
{"problem": "Find all positive factors of 54.", "solution": "The positive factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54", "answer": "1, 2, 3, 6, 9, 18, 27, 54", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000694"}
|
| 102 |
+
{"problem": "Is 83 a prime number?", "solution": "83 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000701"}
|
| 103 |
+
{"problem": "Find the greatest common divisor (GCD) of 15 and 91.", "solution": "GCD(15, 91) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000703"}
|
| 104 |
+
{"problem": "Is 77 a prime number?", "solution": "77 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000706"}
|
| 105 |
+
{"problem": "Find the least common multiple (LCM) of 14 and 18.", "solution": "LCM(14, 18) = 126", "answer": "126", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000713"}
|
| 106 |
+
{"problem": "Find the greatest common divisor (GCD) of 31 and 12.", "solution": "GCD(31, 12) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000714"}
|
| 107 |
+
{"problem": "Find the least common multiple (LCM) of 5 and 13.", "solution": "LCM(5, 13) = 65", "answer": "65", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000716"}
|
| 108 |
+
{"problem": "Find the least common multiple (LCM) of 20 and 29.", "solution": "LCM(20, 29) = 580", "answer": "580", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000724"}
|
| 109 |
+
{"problem": "Find the greatest common divisor (GCD) of 16 and 92.", "solution": "GCD(16, 92) = 4", "answer": "4", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000729"}
|
| 110 |
+
{"problem": "Find the greatest common divisor (GCD) of 89 and 60.", "solution": "GCD(89, 60) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000734"}
|
| 111 |
+
{"problem": "Find all positive factors of 28.", "solution": "The positive factors of 28 are: 1, 2, 4, 7, 14, 28", "answer": "1, 2, 4, 7, 14, 28", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000736"}
|
| 112 |
+
{"problem": "Find all positive factors of 16.", "solution": "The positive factors of 16 are: 1, 2, 4, 8, 16", "answer": "1, 2, 4, 8, 16", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000739"}
|
| 113 |
+
{"problem": "Find the greatest common divisor (GCD) of 47 and 14.", "solution": "GCD(47, 14) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000742"}
|
| 114 |
+
{"problem": "Find the greatest common divisor (GCD) of 21 and 16.", "solution": "GCD(21, 16) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000745"}
|
| 115 |
+
{"problem": "Find the greatest common divisor (GCD) of 16 and 72.", "solution": "GCD(16, 72) = 8", "answer": "8", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000746"}
|
| 116 |
+
{"problem": "Find all positive factors of 48.", "solution": "The positive factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48", "answer": "1, 2, 3, 4, 6, 8, 12, 16, 24, 48", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000751"}
|
| 117 |
+
{"problem": "Is 81 a prime number?", "solution": "81 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000764"}
|
| 118 |
+
{"problem": "Find the greatest common divisor (GCD) of 74 and 79.", "solution": "GCD(74, 79) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000765"}
|
| 119 |
+
{"problem": "Find the greatest common divisor (GCD) of 45 and 65.", "solution": "GCD(45, 65) = 5", "answer": "5", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000773"}
|
| 120 |
+
{"problem": "Is 100 a prime number?", "solution": "100 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000776"}
|
| 121 |
+
{"problem": "Find the greatest common divisor (GCD) of 93 and 30.", "solution": "GCD(93, 30) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000779"}
|
| 122 |
+
{"problem": "Find all positive factors of 51.", "solution": "The positive factors of 51 are: 1, 3, 17, 51", "answer": "1, 3, 17, 51", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000784"}
|
| 123 |
+
{"problem": "Find all positive factors of 61.", "solution": "The positive factors of 61 are: 1, 61", "answer": "1, 61", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000785"}
|
| 124 |
+
{"problem": "Find the greatest common divisor (GCD) of 21 and 90.", "solution": "GCD(21, 90) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000788"}
|
| 125 |
+
{"problem": "Find the least common multiple (LCM) of 11 and 23.", "solution": "LCM(11, 23) = 253", "answer": "253", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000796"}
|
| 126 |
+
{"problem": "Find the greatest common divisor (GCD) of 54 and 80.", "solution": "GCD(54, 80) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000802"}
|
| 127 |
+
{"problem": "Find the least common multiple (LCM) of 7 and 23.", "solution": "LCM(7, 23) = 161", "answer": "161", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000804"}
|
| 128 |
+
{"problem": "Is 67 a prime number?", "solution": "67 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000818"}
|
| 129 |
+
{"problem": "Find the greatest common divisor (GCD) of 43 and 78.", "solution": "GCD(43, 78) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000821"}
|
| 130 |
+
{"problem": "Is 31 a prime number?", "solution": "31 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000825"}
|
| 131 |
+
{"problem": "Is 84 a prime number?", "solution": "84 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000836"}
|
| 132 |
+
{"problem": "Find the greatest common divisor (GCD) of 44 and 66.", "solution": "GCD(44, 66) = 22", "answer": "22", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000845"}
|
| 133 |
+
{"problem": "Find the greatest common divisor (GCD) of 52 and 65.", "solution": "GCD(52, 65) = 13", "answer": "13", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000854"}
|
| 134 |
+
{"problem": "Is 30 a prime number?", "solution": "30 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000855"}
|
| 135 |
+
{"problem": "Find the greatest common divisor (GCD) of 39 and 32.", "solution": "GCD(39, 32) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000859"}
|
| 136 |
+
{"problem": "Find the greatest common divisor (GCD) of 68 and 87.", "solution": "GCD(68, 87) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000870"}
|
| 137 |
+
{"problem": "Find all positive factors of 39.", "solution": "The positive factors of 39 are: 1, 3, 13, 39", "answer": "1, 3, 13, 39", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000872"}
|
| 138 |
+
{"problem": "Find all positive factors of 88.", "solution": "The positive factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88", "answer": "1, 2, 4, 8, 11, 22, 44, 88", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000873"}
|
| 139 |
+
{"problem": "Find the greatest common divisor (GCD) of 29 and 65.", "solution": "GCD(29, 65) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000881"}
|
| 140 |
+
{"problem": "Find all positive factors of 25.", "solution": "The positive factors of 25 are: 1, 5, 25", "answer": "1, 5, 25", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000883"}
|
| 141 |
+
{"problem": "Find all positive factors of 31.", "solution": "The positive factors of 31 are: 1, 31", "answer": "1, 31", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000894"}
|
| 142 |
+
{"problem": "Find all positive factors of 95.", "solution": "The positive factors of 95 are: 1, 5, 19, 95", "answer": "1, 5, 19, 95", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000896"}
|
| 143 |
+
{"problem": "Is 17 a prime number?", "solution": "17 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000900"}
|
| 144 |
+
{"problem": "Find the least common multiple (LCM) of 25 and 9.", "solution": "LCM(25, 9) = 225", "answer": "225", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000906"}
|
| 145 |
+
{"problem": "Find all positive factors of 98.", "solution": "The positive factors of 98 are: 1, 2, 7, 14, 49, 98", "answer": "1, 2, 7, 14, 49, 98", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000921"}
|
| 146 |
+
{"problem": "Find all positive factors of 67.", "solution": "The positive factors of 67 are: 1, 67", "answer": "1, 67", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000924"}
|
| 147 |
+
{"problem": "Is 23 a prime number?", "solution": "23 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000927"}
|
| 148 |
+
{"problem": "Find the greatest common divisor (GCD) of 87 and 20.", "solution": "GCD(87, 20) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000928"}
|
| 149 |
+
{"problem": "Is 42 a prime number?", "solution": "42 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000934"}
|
| 150 |
+
{"problem": "Find the greatest common divisor (GCD) of 99 and 60.", "solution": "GCD(99, 60) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000941"}
|
| 151 |
+
{"problem": "Find all positive factors of 83.", "solution": "The positive factors of 83 are: 1, 83", "answer": "1, 83", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000944"}
|
| 152 |
+
{"problem": "Is 5 a prime number?", "solution": "5 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000957"}
|
| 153 |
+
{"problem": "Find the least common multiple (LCM) of 27 and 6.", "solution": "LCM(27, 6) = 54", "answer": "54", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000967"}
|
| 154 |
+
{"problem": "Find the greatest common divisor (GCD) of 67 and 77.", "solution": "GCD(67, 77) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000968"}
|
| 155 |
+
{"problem": "Find the least common multiple (LCM) of 3 and 13.", "solution": "LCM(3, 13) = 39", "answer": "39", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000971"}
|
| 156 |
+
{"problem": "Is 35 a prime number?", "solution": "35 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000979"}
|
| 157 |
+
{"problem": "Find the least common multiple (LCM) of 28 and 30.", "solution": "LCM(28, 30) = 420", "answer": "420", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000982"}
|
| 158 |
+
{"problem": "Find all positive factors of 22.", "solution": "The positive factors of 22 are: 1, 2, 11, 22", "answer": "1, 2, 11, 22", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001009"}
|
| 159 |
+
{"problem": "Find the greatest common divisor (GCD) of 13 and 48.", "solution": "GCD(13, 48) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001012"}
|
| 160 |
+
{"problem": "Find the least common multiple (LCM) of 8 and 25.", "solution": "LCM(8, 25) = 200", "answer": "200", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001019"}
|
| 161 |
+
{"problem": "Find the greatest common divisor (GCD) of 24 and 13.", "solution": "GCD(24, 13) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001029"}
|
| 162 |
+
{"problem": "Find the greatest common divisor (GCD) of 19 and 72.", "solution": "GCD(19, 72) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001037"}
|
| 163 |
+
{"problem": "Find the greatest common divisor (GCD) of 29 and 16.", "solution": "GCD(29, 16) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001038"}
|
| 164 |
+
{"problem": "Find the greatest common divisor (GCD) of 21 and 23.", "solution": "GCD(21, 23) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001040"}
|
| 165 |
+
{"problem": "Is 21 a prime number?", "solution": "21 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001047"}
|
| 166 |
+
{"problem": "Is 45 a prime number?", "solution": "45 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001050"}
|
| 167 |
+
{"problem": "Find the greatest common divisor (GCD) of 70 and 25.", "solution": "GCD(70, 25) = 5", "answer": "5", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001051"}
|
| 168 |
+
{"problem": "Find the least common multiple (LCM) of 29 and 26.", "solution": "LCM(29, 26) = 754", "answer": "754", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001061"}
|
| 169 |
+
{"problem": "Find all positive factors of 35.", "solution": "The positive factors of 35 are: 1, 5, 7, 35", "answer": "1, 5, 7, 35", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001070"}
|
| 170 |
+
{"problem": "Find the least common multiple (LCM) of 6 and 26.", "solution": "LCM(6, 26) = 78", "answer": "78", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001081"}
|
| 171 |
+
{"problem": "Is 34 a prime number?", "solution": "34 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001087"}
|
| 172 |
+
{"problem": "Find all positive factors of 36.", "solution": "The positive factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36", "answer": "1, 2, 3, 4, 6, 9, 12, 18, 36", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001090"}
|
| 173 |
+
{"problem": "Find the greatest common divisor (GCD) of 100 and 73.", "solution": "GCD(100, 73) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001100"}
|
| 174 |
+
{"problem": "Find the greatest common divisor (GCD) of 15 and 72.", "solution": "GCD(15, 72) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001101"}
|
| 175 |
+
{"problem": "Find all positive factors of 50.", "solution": "The positive factors of 50 are: 1, 2, 5, 10, 25, 50", "answer": "1, 2, 5, 10, 25, 50", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001118"}
|
| 176 |
+
{"problem": "Find the greatest common divisor (GCD) of 27 and 36.", "solution": "GCD(27, 36) = 9", "answer": "9", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001132"}
|
| 177 |
+
{"problem": "Find the least common multiple (LCM) of 3 and 26.", "solution": "LCM(3, 26) = 78", "answer": "78", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001133"}
|
| 178 |
+
{"problem": "Find the greatest common divisor (GCD) of 12 and 91.", "solution": "GCD(12, 91) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001137"}
|
| 179 |
+
{"problem": "Find the greatest common divisor (GCD) of 56 and 73.", "solution": "GCD(56, 73) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001143"}
|
| 180 |
+
{"problem": "Find the least common multiple (LCM) of 23 and 8.", "solution": "LCM(23, 8) = 184", "answer": "184", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001147"}
|
| 181 |
+
{"problem": "Find the greatest common divisor (GCD) of 73 and 97.", "solution": "GCD(73, 97) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001155"}
|
| 182 |
+
{"problem": "Is 8 a prime number?", "solution": "8 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001178"}
|
| 183 |
+
{"problem": "Find the greatest common divisor (GCD) of 37 and 39.", "solution": "GCD(37, 39) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001183"}
|
| 184 |
+
{"problem": "Is 92 a prime number?", "solution": "92 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001184"}
|
| 185 |
+
{"problem": "Find all positive factors of 46.", "solution": "The positive factors of 46 are: 1, 2, 23, 46", "answer": "1, 2, 23, 46", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001187"}
|
| 186 |
+
{"problem": "Find the least common multiple (LCM) of 2 and 5.", "solution": "LCM(2, 5) = 10", "answer": "10", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001188"}
|
| 187 |
+
{"problem": "Find the greatest common divisor (GCD) of 12 and 44.", "solution": "GCD(12, 44) = 4", "answer": "4", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001195"}
|
| 188 |
+
{"problem": "Find the least common multiple (LCM) of 22 and 25.", "solution": "LCM(22, 25) = 550", "answer": "550", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001197"}
|
| 189 |
+
{"problem": "Find the least common multiple (LCM) of 19 and 2.", "solution": "LCM(19, 2) = 38", "answer": "38", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001198"}
|
| 190 |
+
{"problem": "Find the least common multiple (LCM) of 26 and 6.", "solution": "LCM(26, 6) = 78", "answer": "78", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001201"}
|
| 191 |
+
{"problem": "Find the greatest common divisor (GCD) of 30 and 65.", "solution": "GCD(30, 65) = 5", "answer": "5", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001202"}
|
| 192 |
+
{"problem": "Find the greatest common divisor (GCD) of 12 and 75.", "solution": "GCD(12, 75) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001227"}
|
| 193 |
+
{"problem": "Find all positive factors of 99.", "solution": "The positive factors of 99 are: 1, 3, 9, 11, 33, 99", "answer": "1, 3, 9, 11, 33, 99", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001241"}
|
| 194 |
+
{"problem": "Find the greatest common divisor (GCD) of 52 and 69.", "solution": "GCD(52, 69) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001249"}
|
| 195 |
+
{"problem": "Find the greatest common divisor (GCD) of 24 and 76.", "solution": "GCD(24, 76) = 4", "answer": "4", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001252"}
|
| 196 |
+
{"problem": "Find the least common multiple (LCM) of 27 and 27.", "solution": "LCM(27, 27) = 27", "answer": "27", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001255"}
|
| 197 |
+
{"problem": "Find the least common multiple (LCM) of 5 and 14.", "solution": "LCM(5, 14) = 70", "answer": "70", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001256"}
|
| 198 |
+
{"problem": "Find the least common multiple (LCM) of 5 and 16.", "solution": "LCM(5, 16) = 80", "answer": "80", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001261"}
|
| 199 |
+
{"problem": "Find the least common multiple (LCM) of 30 and 27.", "solution": "LCM(30, 27) = 270", "answer": "270", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001269"}
|
| 200 |
+
{"problem": "Find the greatest common divisor (GCD) of 37 and 75.", "solution": "GCD(37, 75) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001290"}
|
| 201 |
+
{"problem": "Find the greatest common divisor (GCD) of 33 and 46.", "solution": "GCD(33, 46) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001298"}
|
| 202 |
+
{"problem": "Find all positive factors of 44.", "solution": "The positive factors of 44 are: 1, 2, 4, 11, 22, 44", "answer": "1, 2, 4, 11, 22, 44", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001303"}
|
| 203 |
+
{"problem": "Find the greatest common divisor (GCD) of 98 and 65.", "solution": "GCD(98, 65) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001304"}
|
| 204 |
+
{"problem": "Find the least common multiple (LCM) of 21 and 20.", "solution": "LCM(21, 20) = 420", "answer": "420", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001314"}
|
| 205 |
+
{"problem": "Find the greatest common divisor (GCD) of 76 and 35.", "solution": "GCD(76, 35) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001316"}
|
| 206 |
+
{"problem": "Find the least common multiple (LCM) of 2 and 17.", "solution": "LCM(2, 17) = 34", "answer": "34", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001319"}
|
| 207 |
+
{"problem": "Is 86 a prime number?", "solution": "86 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001339"}
|
| 208 |
+
{"problem": "Is 28 a prime number?", "solution": "28 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001340"}
|
| 209 |
+
{"problem": "Find the least common multiple (LCM) of 13 and 26.", "solution": "LCM(13, 26) = 26", "answer": "26", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001343"}
|
| 210 |
+
{"problem": "Find all positive factors of 85.", "solution": "The positive factors of 85 are: 1, 5, 17, 85", "answer": "1, 5, 17, 85", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001348"}
|
| 211 |
+
{"problem": "Is 57 a prime number?", "solution": "57 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001362"}
|
| 212 |
+
{"problem": "Find the greatest common divisor (GCD) of 84 and 72.", "solution": "GCD(84, 72) = 12", "answer": "12", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001365"}
|
| 213 |
+
{"problem": "Find the greatest common divisor (GCD) of 93 and 24.", "solution": "GCD(93, 24) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001371"}
|
| 214 |
+
{"problem": "Find the least common multiple (LCM) of 21 and 15.", "solution": "LCM(21, 15) = 105", "answer": "105", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001373"}
|
| 215 |
+
{"problem": "Find the least common multiple (LCM) of 24 and 18.", "solution": "LCM(24, 18) = 72", "answer": "72", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001377"}
|
| 216 |
+
{"problem": "Find the greatest common divisor (GCD) of 56 and 93.", "solution": "GCD(56, 93) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001379"}
|
| 217 |
+
{"problem": "Find the greatest common divisor (GCD) of 60 and 51.", "solution": "GCD(60, 51) = 3", "answer": "3", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001382"}
|
| 218 |
+
{"problem": "Find the greatest common divisor (GCD) of 56 and 41.", "solution": "GCD(56, 41) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001384"}
|
| 219 |
+
{"problem": "Find the least common multiple (LCM) of 29 and 13.", "solution": "LCM(29, 13) = 377", "answer": "377", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001395"}
|
| 220 |
+
{"problem": "Find the least common multiple (LCM) of 3 and 7.", "solution": "LCM(3, 7) = 21", "answer": "21", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001403"}
|
| 221 |
+
{"problem": "Is 50 a prime number?", "solution": "50 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001407"}
|
| 222 |
+
{"problem": "Find all positive factors of 55.", "solution": "The positive factors of 55 are: 1, 5, 11, 55", "answer": "1, 5, 11, 55", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001418"}
|
| 223 |
+
{"problem": "Find the least common multiple (LCM) of 15 and 18.", "solution": "LCM(15, 18) = 90", "answer": "90", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001442"}
|
| 224 |
+
{"problem": "Find the greatest common divisor (GCD) of 24 and 25.", "solution": "GCD(24, 25) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001452"}
|
| 225 |
+
{"problem": "Find the greatest common divisor (GCD) of 81 and 68.", "solution": "GCD(81, 68) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001453"}
|
| 226 |
+
{"problem": "Find the least common multiple (LCM) of 29 and 8.", "solution": "LCM(29, 8) = 232", "answer": "232", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001458"}
|
| 227 |
+
{"problem": "Is 2 a prime number?", "solution": "2 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001459"}
|
| 228 |
+
{"problem": "Find the least common multiple (LCM) of 14 and 23.", "solution": "LCM(14, 23) = 322", "answer": "322", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001470"}
|
| 229 |
+
{"problem": "Find the greatest common divisor (GCD) of 71 and 64.", "solution": "GCD(71, 64) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001485"}
|
| 230 |
+
{"problem": "Find the least common multiple (LCM) of 13 and 9.", "solution": "LCM(13, 9) = 117", "answer": "117", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001492"}
|
| 231 |
+
{"problem": "Find the least common multiple (LCM) of 2 and 14.", "solution": "LCM(2, 14) = 14", "answer": "14", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001493"}
|
| 232 |
+
{"problem": "Find the least common multiple (LCM) of 13 and 28.", "solution": "LCM(13, 28) = 364", "answer": "364", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001502"}
|
| 233 |
+
{"problem": "Find the greatest common divisor (GCD) of 18 and 91.", "solution": "GCD(18, 91) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001514"}
|
| 234 |
+
{"problem": "Find the greatest common divisor (GCD) of 15 and 90.", "solution": "GCD(15, 90) = 15", "answer": "15", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001530"}
|
| 235 |
+
{"problem": "Is 11 a prime number?", "solution": "11 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001532"}
|
| 236 |
+
{"problem": "Find all positive factors of 40.", "solution": "The positive factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40", "answer": "1, 2, 4, 5, 8, 10, 20, 40", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001539"}
|
| 237 |
+
{"problem": "Find the greatest common divisor (GCD) of 49 and 21.", "solution": "GCD(49, 21) = 7", "answer": "7", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001554"}
|
| 238 |
+
{"problem": "Find the least common multiple (LCM) of 19 and 10.", "solution": "LCM(19, 10) = 190", "answer": "190", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001555"}
|
| 239 |
+
{"problem": "Find the greatest common divisor (GCD) of 57 and 64.", "solution": "GCD(57, 64) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001559"}
|
| 240 |
+
{"problem": "Find all positive factors of 79.", "solution": "The positive factors of 79 are: 1, 79", "answer": "1, 79", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001561"}
|
| 241 |
+
{"problem": "Find the least common multiple (LCM) of 17 and 30.", "solution": "LCM(17, 30) = 510", "answer": "510", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001563"}
|
| 242 |
+
{"problem": "Find the greatest common divisor (GCD) of 31 and 66.", "solution": "GCD(31, 66) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001576"}
|
| 243 |
+
{"problem": "Find all positive factors of 29.", "solution": "The positive factors of 29 are: 1, 29", "answer": "1, 29", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001584"}
|
| 244 |
+
{"problem": "Is 7 a prime number?", "solution": "7 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001586"}
|
| 245 |
+
{"problem": "Find the greatest common divisor (GCD) of 40 and 14.", "solution": "GCD(40, 14) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001587"}
|
| 246 |
+
{"problem": "Find the greatest common divisor (GCD) of 17 and 72.", "solution": "GCD(17, 72) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001591"}
|
| 247 |
+
{"problem": "Is 99 a prime number?", "solution": "99 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001614"}
|
| 248 |
+
{"problem": "Find all positive factors of 90.", "solution": "The positive factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90", "answer": "1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001616"}
|
| 249 |
+
{"problem": "Find the greatest common divisor (GCD) of 17 and 30.", "solution": "GCD(17, 30) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001620"}
|
| 250 |
+
{"problem": "Is 95 a prime number?", "solution": "95 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001625"}
|
| 251 |
+
{"problem": "Find the least common multiple (LCM) of 7 and 21.", "solution": "LCM(7, 21) = 21", "answer": "21", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001627"}
|
| 252 |
+
{"problem": "Find the greatest common divisor (GCD) of 90 and 90.", "solution": "GCD(90, 90) = 90", "answer": "90", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001633"}
|
| 253 |
+
{"problem": "Find the greatest common divisor (GCD) of 95 and 99.", "solution": "GCD(95, 99) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001640"}
|
| 254 |
+
{"problem": "Find all positive factors of 58.", "solution": "The positive factors of 58 are: 1, 2, 29, 58", "answer": "1, 2, 29, 58", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001646"}
|
| 255 |
+
{"problem": "Find the greatest common divisor (GCD) of 59 and 23.", "solution": "GCD(59, 23) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001647"}
|
| 256 |
+
{"problem": "Find the greatest common divisor (GCD) of 46 and 28.", "solution": "GCD(46, 28) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001651"}
|
| 257 |
+
{"problem": "Find all positive factors of 18.", "solution": "The positive factors of 18 are: 1, 2, 3, 6, 9, 18", "answer": "1, 2, 3, 6, 9, 18", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001652"}
|
| 258 |
+
{"problem": "Is 62 a prime number?", "solution": "62 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001660"}
|
| 259 |
+
{"problem": "Find all positive factors of 65.", "solution": "The positive factors of 65 are: 1, 5, 13, 65", "answer": "1, 5, 13, 65", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001674"}
|
| 260 |
+
{"problem": "Find the greatest common divisor (GCD) of 49 and 74.", "solution": "GCD(49, 74) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001686"}
|
| 261 |
+
{"problem": "Find the least common multiple (LCM) of 5 and 24.", "solution": "LCM(5, 24) = 120", "answer": "120", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001690"}
|
| 262 |
+
{"problem": "Find the least common multiple (LCM) of 29 and 10.", "solution": "LCM(29, 10) = 290", "answer": "290", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001694"}
|
| 263 |
+
{"problem": "Is 85 a prime number?", "solution": "85 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001695"}
|
| 264 |
+
{"problem": "Find the least common multiple (LCM) of 28 and 12.", "solution": "LCM(28, 12) = 84", "answer": "84", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001697"}
|
| 265 |
+
{"problem": "Is 51 a prime number?", "solution": "51 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001711"}
|
| 266 |
+
{"problem": "Is 96 a prime number?", "solution": "96 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001712"}
|
| 267 |
+
{"problem": "Find the greatest common divisor (GCD) of 19 and 15.", "solution": "GCD(19, 15) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001719"}
|
| 268 |
+
{"problem": "Find the greatest common divisor (GCD) of 47 and 48.", "solution": "GCD(47, 48) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001724"}
|
| 269 |
+
{"problem": "Find the greatest common divisor (GCD) of 98 and 52.", "solution": "GCD(98, 52) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001728"}
|
| 270 |
+
{"problem": "Find all positive factors of 41.", "solution": "The positive factors of 41 are: 1, 41", "answer": "1, 41", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001743"}
|
| 271 |
+
{"problem": "Find all positive factors of 47.", "solution": "The positive factors of 47 are: 1, 47", "answer": "1, 47", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001750"}
|
| 272 |
+
{"problem": "Find the greatest common divisor (GCD) of 91 and 81.", "solution": "GCD(91, 81) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001762"}
|
| 273 |
+
{"problem": "Is 53 a prime number?", "solution": "53 is prime.", "answer": "prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001767"}
|
| 274 |
+
{"problem": "Find the greatest common divisor (GCD) of 31 and 38.", "solution": "GCD(31, 38) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001768"}
|
| 275 |
+
{"problem": "Find the least common multiple (LCM) of 15 and 5.", "solution": "LCM(15, 5) = 15", "answer": "15", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001776"}
|
| 276 |
+
{"problem": "Find the greatest common divisor (GCD) of 26 and 93.", "solution": "GCD(26, 93) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001787"}
|
| 277 |
+
{"problem": "Find the least common multiple (LCM) of 13 and 2.", "solution": "LCM(13, 2) = 26", "answer": "26", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001811"}
|
| 278 |
+
{"problem": "Is 26 a prime number?", "solution": "26 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001837"}
|
| 279 |
+
{"problem": "Find the greatest common divisor (GCD) of 36 and 13.", "solution": "GCD(36, 13) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001847"}
|
| 280 |
+
{"problem": "Find the greatest common divisor (GCD) of 82 and 22.", "solution": "GCD(82, 22) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001849"}
|
| 281 |
+
{"problem": "Find the greatest common divisor (GCD) of 50 and 99.", "solution": "GCD(50, 99) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001851"}
|
| 282 |
+
{"problem": "Find the greatest common divisor (GCD) of 62 and 79.", "solution": "GCD(62, 79) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001859"}
|
| 283 |
+
{"problem": "Find all positive factors of 38.", "solution": "The positive factors of 38 are: 1, 2, 19, 38", "answer": "1, 2, 19, 38", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001863"}
|
| 284 |
+
{"problem": "Find the least common multiple (LCM) of 18 and 17.", "solution": "LCM(18, 17) = 306", "answer": "306", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001866"}
|
| 285 |
+
{"problem": "Find the greatest common divisor (GCD) of 97 and 79.", "solution": "GCD(97, 79) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001870"}
|
| 286 |
+
{"problem": "Find the greatest common divisor (GCD) of 76 and 72.", "solution": "GCD(76, 72) = 4", "answer": "4", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001872"}
|
| 287 |
+
{"problem": "Find the greatest common divisor (GCD) of 56 and 39.", "solution": "GCD(56, 39) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001875"}
|
| 288 |
+
{"problem": "Find the least common multiple (LCM) of 29 and 28.", "solution": "LCM(29, 28) = 812", "answer": "812", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001886"}
|
| 289 |
+
{"problem": "Find all positive factors of 62.", "solution": "The positive factors of 62 are: 1, 2, 31, 62", "answer": "1, 2, 31, 62", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001888"}
|
| 290 |
+
{"problem": "Find the greatest common divisor (GCD) of 49 and 77.", "solution": "GCD(49, 77) = 7", "answer": "7", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001891"}
|
| 291 |
+
{"problem": "Find the least common multiple (LCM) of 14 and 29.", "solution": "LCM(14, 29) = 406", "answer": "406", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001898"}
|
| 292 |
+
{"problem": "Find the greatest common divisor (GCD) of 50 and 87.", "solution": "GCD(50, 87) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001900"}
|
| 293 |
+
{"problem": "Is 49 a prime number?", "solution": "49 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001909"}
|
| 294 |
+
{"problem": "Find the greatest common divisor (GCD) of 31 and 81.", "solution": "GCD(31, 81) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001916"}
|
| 295 |
+
{"problem": "Is 52 a prime number?", "solution": "52 is not prime.", "answer": "not prime", "topic": "number_theory.primes", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001923"}
|
| 296 |
+
{"problem": "Find the greatest common divisor (GCD) of 21 and 17.", "solution": "GCD(21, 17) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001926"}
|
| 297 |
+
{"problem": "Find the least common multiple (LCM) of 4 and 24.", "solution": "LCM(4, 24) = 24", "answer": "24", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001940"}
|
| 298 |
+
{"problem": "Find the greatest common divisor (GCD) of 33 and 34.", "solution": "GCD(33, 34) = 1", "answer": "1", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001947"}
|
| 299 |
+
{"problem": "Find all positive factors of 73.", "solution": "The positive factors of 73 are: 1, 73", "answer": "1, 73", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001954"}
|
| 300 |
+
{"problem": "Find the least common multiple (LCM) of 20 and 12.", "solution": "LCM(20, 12) = 60", "answer": "60", "topic": "number_theory.lcm", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001957"}
|
| 301 |
+
{"problem": "Find the greatest common divisor (GCD) of 30 and 88.", "solution": "GCD(30, 88) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001964"}
|
| 302 |
+
{"problem": "Find all positive factors of 84.", "solution": "The positive factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84", "answer": "1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001987"}
|
| 303 |
+
{"problem": "Find all positive factors of 43.", "solution": "The positive factors of 43 are: 1, 43", "answer": "1, 43", "topic": "number_theory.factors", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001993"}
|
| 304 |
+
{"problem": "Find the greatest common divisor (GCD) of 50 and 88.", "solution": "GCD(50, 88) = 2", "answer": "2", "topic": "number_theory.gcd", "difficulty": "medium", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001996"}
|
v0.3/probability.jsonl
ADDED
|
@@ -0,0 +1,11 @@
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| 1 |
+
{"problem": "A box contains 7 equally likely outcomes, of which 7 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 7/7 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 2 |
+
{"problem": "A box contains 6 equally likely outcomes, of which 6 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 6/6 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 3 |
+
{"problem": "A box contains 4 equally likely outcomes, of which 4 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 4/4 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 4 |
+
{"problem": "A box contains 15 equally likely outcomes, of which 15 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 15/15 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 5 |
+
{"problem": "A box contains 16 equally likely outcomes, of which 16 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 16/16 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 6 |
+
{"problem": "A box contains 13 equally likely outcomes, of which 13 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 13/13 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 7 |
+
{"problem": "A box contains 3 equally likely outcomes, of which 3 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 3/3 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 8 |
+
{"problem": "A box contains 14 equally likely outcomes, of which 14 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes = 14/14 = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 9 |
+
{"problem": "A box contains 17 equally likely outcomes, of which 17 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes\nProbability = 17/17\nProbability = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000135"}
|
| 10 |
+
{"problem": "A box contains 19 equally likely outcomes, of which 19 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes\nProbability = 19/19\nProbability = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000484"}
|
| 11 |
+
{"problem": "A box contains 9 equally likely outcomes, of which 9 are favorable. What is the probability of a favorable outcome?", "solution": "Probability = favorable outcomes / total outcomes\nProbability = 9/9\nProbability = 1", "answer": "1", "topic": "probability.basic_probability", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000515"}
|
v0.3/reasoning.jsonl
ADDED
|
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| 1 |
+
{"problem": "A student says that 17 + 5 = 24. Is the student's answer correct?", "solution": "No. The correct calculation is 17 + 5 = 22.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 2 |
+
{"problem": "A student says that 17 + 5 = 23. Is the student's answer correct?", "solution": "No. The correct calculation is 17 + 5 = 22.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 3 |
+
{"problem": "A student says that 17 + 5 = 25. Is the student's answer correct?", "solution": "No. The correct calculation is 17 + 5 = 22.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 4 |
+
{"problem": "A student says that 18 + 5 = 24. Is the student's answer correct?", "solution": "No. The correct calculation is 18 + 5 = 23.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 5 |
+
{"problem": "A student says that 18 + 5 = 25. Is the student's answer correct?", "solution": "No. The correct calculation is 18 + 5 = 23.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 6 |
+
{"problem": "A student says that 20 + 5 = 26. Is the student's answer correct?", "solution": "No. The correct calculation is 20 + 5 = 25.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 7 |
+
{"problem": "A student says that 15 + 5 = 23. Is the student's answer correct?", "solution": "No. The correct calculation is 15 + 5 = 20.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 8 |
+
{"problem": "A student says that 18 + 5 = 26. Is the student's answer correct?", "solution": "No. The correct calculation is 18 + 5 = 23.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 9 |
+
{"problem": "A student says that 5 + 5 = 13. Is the student's answer correct?", "solution": "No. The correct calculation is 5 + 5 = 10.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
| 10 |
+
{"problem": "A student says that 6 + 5 = 12. Is the student's answer correct?", "solution": "No. The correct calculation is 6 + 5 = 11.", "answer": "No", "topic": "reasoning.error_correction", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
|
v0.3/statistics.jsonl
ADDED
|
The diff for this file is too large to render.
See raw diff
|
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|
v0.3/trigonometry.jsonl
ADDED
|
@@ -0,0 +1,22 @@
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| 1 |
+
{"problem": "What is sin(0°)?", "solution": "Using the standard trigonometric values, sin(0°) = 0.", "answer": "0", "topic": "trigonometry.sine", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 2 |
+
{"problem": "What is sin(240°)?", "solution": "Using the standard trigonometric values, sin(240°) = -√3/2.", "answer": "-√3/2", "topic": "trigonometry.sine", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 3 |
+
{"problem": "What is sin(90°)?", "solution": "Using the standard trigonometric values, sin(90°) = 1.", "answer": "1", "topic": "trigonometry.sine", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 4 |
+
{"problem": "What is sin(315°)?", "solution": "Using the standard trigonometric values, sin(315°) = -√2/2.", "answer": "-√2/2", "topic": "trigonometry.sine", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 5 |
+
{"problem": "What is sin(210°)?", "solution": "Using the standard trigonometric values, sin(210°) = -1/2.", "answer": "-1/2", "topic": "trigonometry.sine", "difficulty": "medium", "education_level": "high_school", "language": "en", "verification_status": "verified"}
|
| 6 |
+
{"problem": "Find cos(0°).", "solution": "cos(0°) = 1", "answer": "1", "topic": "trigonometry.cosine", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000005"}
|
| 7 |
+
{"problem": "A right triangle has an opposite side of 6 and a hypotenuse of 10. Find sin(θ).", "solution": "sin(θ) = opposite / hypotenuse\nsin(θ) = 6/10", "answer": "3/5", "topic": "trigonometry.right_triangles", "difficulty": "medium", "education_level": "high_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000006"}
|
| 8 |
+
{"problem": "A right triangle has an opposite side of 3 and a hypotenuse of 5. Find sin(θ).", "solution": "sin(θ) = opposite / hypotenuse\nsin(θ) = 3/5", "answer": "3/5", "topic": "trigonometry.right_triangles", "difficulty": "medium", "education_level": "high_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000015"}
|
| 9 |
+
{"problem": "Find sin(90°).", "solution": "sin(90°) = 1", "answer": "1", "topic": "trigonometry.sine", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000016"}
|
| 10 |
+
{"problem": "A right triangle has an opposite side of 8 and a hypotenuse of 17. Find sin(θ).", "solution": "sin(θ) = opposite / hypotenuse\nsin(θ) = 8/17", "answer": "8/17", "topic": "trigonometry.right_triangles", "difficulty": "medium", "education_level": "high_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000017"}
|
| 11 |
+
{"problem": "Evaluate tan(45°).", "solution": "tan(45°) = 1", "answer": "1", "topic": "trigonometry.special_angles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000019"}
|
| 12 |
+
{"problem": "Find sin(30°).", "solution": "sin(30°) = 1/2", "answer": "1/2", "topic": "trigonometry.sine", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000022"}
|
| 13 |
+
{"problem": "Find tan(0°).", "solution": "tan(0°) = 0", "answer": "0", "topic": "trigonometry.tangent", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000030"}
|
| 14 |
+
{"problem": "Find cos(90°).", "solution": "cos(90°) = 0", "answer": "0", "topic": "trigonometry.cosine", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000031"}
|
| 15 |
+
{"problem": "A right triangle has an opposite side of 5 and a hypotenuse of 13. Find sin(θ).", "solution": "sin(θ) = opposite / hypotenuse\nsin(θ) = 5/13", "answer": "5/13", "topic": "trigonometry.right_triangles", "difficulty": "medium", "education_level": "high_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000043"}
|
| 16 |
+
{"problem": "Evaluate sin(30°).", "solution": "sin(30°) = 1/2", "answer": "1/2", "topic": "trigonometry.special_angles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000102"}
|
| 17 |
+
{"problem": "Find tan(45°).", "solution": "tan(45°) = 1", "answer": "1", "topic": "trigonometry.tangent", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000107"}
|
| 18 |
+
{"problem": "Evaluate cos(0°).", "solution": "cos(0°) = 1", "answer": "1", "topic": "trigonometry.special_angles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000129"}
|
| 19 |
+
{"problem": "Evaluate cos(60°).", "solution": "cos(60°) = 1/2", "answer": "1/2", "topic": "trigonometry.special_angles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000150"}
|
| 20 |
+
{"problem": "Find sin(0°).", "solution": "sin(0°) = 0", "answer": "0", "topic": "trigonometry.sine", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000202"}
|
| 21 |
+
{"problem": "Evaluate sin(90°).", "solution": "sin(90°) = 1", "answer": "1", "topic": "trigonometry.special_angles", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000247"}
|
| 22 |
+
{"problem": "Find cos(60°).", "solution": "cos(60°) = 1/2", "answer": "1/2", "topic": "trigonometry.cosine", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000447"}
|
v0.3/word_problems.jsonl
ADDED
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@@ -0,0 +1,60 @@
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| 1 |
+
{"problem": "A book costs 51 dollars. How much will 10 books cost?", "solution": "Total cost = 51 × 10 = 510 dollars.", "answer": "510", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 2 |
+
{"problem": "A book costs 71 dollars. How much will 7 books cost?", "solution": "Total cost = 71 × 7 = 497 dollars.", "answer": "497", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 3 |
+
{"problem": "A book costs 33 dollars. How much will 2 books cost?", "solution": "Total cost = 33 × 2 = 66 dollars.", "answer": "66", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 4 |
+
{"problem": "A book costs 53 dollars. How much will 6 books cost?", "solution": "Total cost = 53 × 6 = 318 dollars.", "answer": "318", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 5 |
+
{"problem": "A book costs 100 dollars. How much will 6 books cost?", "solution": "Total cost = 100 × 6 = 600 dollars.", "answer": "600", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 6 |
+
{"problem": "A book costs 84 dollars. How much will 9 books cost?", "solution": "Total cost = 84 × 9 = 756 dollars.", "answer": "756", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 7 |
+
{"problem": "A book costs 96 dollars. How much will 6 books cost?", "solution": "Total cost = 96 × 6 = 576 dollars.", "answer": "576", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 8 |
+
{"problem": "A book costs 17 dollars. How much will 10 books cost?", "solution": "Total cost = 17 × 10 = 170 dollars.", "answer": "170", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 9 |
+
{"problem": "A book costs 41 dollars. How much will 2 books cost?", "solution": "Total cost = 41 × 2 = 82 dollars.", "answer": "82", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 10 |
+
{"problem": "A book costs 29 dollars. How much will 4 books cost?", "solution": "Total cost = 29 × 4 = 116 dollars.", "answer": "116", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 11 |
+
{"problem": "A book costs 97 dollars. How much will 10 books cost?", "solution": "Total cost = 97 × 10 = 970 dollars.", "answer": "970", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 12 |
+
{"problem": "A book costs 51 dollars. How much will 3 books cost?", "solution": "Total cost = 51 × 3 = 153 dollars.", "answer": "153", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 13 |
+
{"problem": "A book costs 69 dollars. How much will 6 books cost?", "solution": "Total cost = 69 × 6 = 414 dollars.", "answer": "414", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 14 |
+
{"problem": "A book costs 66 dollars. How much will 3 books cost?", "solution": "Total cost = 66 × 3 = 198 dollars.", "answer": "198", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 15 |
+
{"problem": "A book costs 12 dollars. How much will 8 books cost?", "solution": "Total cost = 12 × 8 = 96 dollars.", "answer": "96", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 16 |
+
{"problem": "A book costs 68 dollars. How much will 7 books cost?", "solution": "Total cost = 68 × 7 = 476 dollars.", "answer": "476", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 17 |
+
{"problem": "A book costs 43 dollars. How much will 7 books cost?", "solution": "Total cost = 43 × 7 = 301 dollars.", "answer": "301", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 18 |
+
{"problem": "A book costs 74 dollars. How much will 5 books cost?", "solution": "Total cost = 74 × 5 = 370 dollars.", "answer": "370", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 19 |
+
{"problem": "A book costs 57 dollars. How much will 5 books cost?", "solution": "Total cost = 57 × 5 = 285 dollars.", "answer": "285", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 20 |
+
{"problem": "A book costs 19 dollars. How much will 3 books cost?", "solution": "Total cost = 19 × 3 = 57 dollars.", "answer": "57", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 21 |
+
{"problem": "A book costs 68 dollars. How much will 2 books cost?", "solution": "Total cost = 68 × 2 = 136 dollars.", "answer": "136", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 22 |
+
{"problem": "A book costs 32 dollars. How much will 8 books cost?", "solution": "Total cost = 32 × 8 = 256 dollars.", "answer": "256", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 23 |
+
{"problem": "A book costs 77 dollars. How much will 9 books cost?", "solution": "Total cost = 77 × 9 = 693 dollars.", "answer": "693", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 24 |
+
{"problem": "A book costs 82 dollars. How much will 5 books cost?", "solution": "Total cost = 82 × 5 = 410 dollars.", "answer": "410", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 25 |
+
{"problem": "A book costs 68 dollars. How much will 4 books cost?", "solution": "Total cost = 68 × 4 = 272 dollars.", "answer": "272", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 26 |
+
{"problem": "A book costs 63 dollars. How much will 10 books cost?", "solution": "Total cost = 63 × 10 = 630 dollars.", "answer": "630", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 27 |
+
{"problem": "A book costs 71 dollars. How much will 4 books cost?", "solution": "Total cost = 71 × 4 = 284 dollars.", "answer": "284", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 28 |
+
{"problem": "A book costs 17 dollars. How much will 3 books cost?", "solution": "Total cost = 17 × 3 = 51 dollars.", "answer": "51", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 29 |
+
{"problem": "A book costs 40 dollars. How much will 9 books cost?", "solution": "Total cost = 40 × 9 = 360 dollars.", "answer": "360", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 30 |
+
{"problem": "A book costs 91 dollars. How much will 6 books cost?", "solution": "Total cost = 91 × 6 = 546 dollars.", "answer": "546", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 31 |
+
{"problem": "A book costs 98 dollars. How much will 3 books cost?", "solution": "Total cost = 98 × 3 = 294 dollars.", "answer": "294", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 32 |
+
{"problem": "A book costs 64 dollars. How much will 10 books cost?", "solution": "Total cost = 64 × 10 = 640 dollars.", "answer": "640", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 33 |
+
{"problem": "A book costs 43 dollars. How much will 8 books cost?", "solution": "Total cost = 43 × 8 = 344 dollars.", "answer": "344", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 34 |
+
{"problem": "A book costs 95 dollars. How much will 5 books cost?", "solution": "Total cost = 95 × 5 = 475 dollars.", "answer": "475", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 35 |
+
{"problem": "A book costs 83 dollars. How much will 10 books cost?", "solution": "Total cost = 83 × 10 = 830 dollars.", "answer": "830", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 36 |
+
{"problem": "A book costs 75 dollars. How much will 8 books cost?", "solution": "Total cost = 75 × 8 = 600 dollars.", "answer": "600", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 37 |
+
{"problem": "A book costs 48 dollars. How much will 2 books cost?", "solution": "Total cost = 48 × 2 = 96 dollars.", "answer": "96", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 38 |
+
{"problem": "A book costs 21 dollars. How much will 10 books cost?", "solution": "Total cost = 21 × 10 = 210 dollars.", "answer": "210", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 39 |
+
{"problem": "A book costs 67 dollars. How much will 2 books cost?", "solution": "Total cost = 67 × 2 = 134 dollars.", "answer": "134", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 40 |
+
{"problem": "A book costs 44 dollars. How much will 7 books cost?", "solution": "Total cost = 44 × 7 = 308 dollars.", "answer": "308", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 41 |
+
{"problem": "A book costs 30 dollars. How much will 8 books cost?", "solution": "Total cost = 30 × 8 = 240 dollars.", "answer": "240", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 42 |
+
{"problem": "A book costs 98 dollars. How much will 5 books cost?", "solution": "Total cost = 98 × 5 = 490 dollars.", "answer": "490", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 43 |
+
{"problem": "A book costs 70 dollars. How much will 10 books cost?", "solution": "Total cost = 70 × 10 = 700 dollars.", "answer": "700", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 44 |
+
{"problem": "A book costs 97 dollars. How much will 5 books cost?", "solution": "Total cost = 97 × 5 = 485 dollars.", "answer": "485", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 45 |
+
{"problem": "A book costs 77 dollars. How much will 7 books cost?", "solution": "Total cost = 77 × 7 = 539 dollars.", "answer": "539", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 46 |
+
{"problem": "A book costs 38 dollars. How much will 4 books cost?", "solution": "Total cost = 38 × 4 = 152 dollars.", "answer": "152", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 47 |
+
{"problem": "A book costs 41 dollars. How much will 3 books cost?", "solution": "Total cost = 41 × 3 = 123 dollars.", "answer": "123", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 48 |
+
{"problem": "A book costs 81 dollars. How much will 9 books cost?", "solution": "Total cost = 81 × 9 = 729 dollars.", "answer": "729", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 49 |
+
{"problem": "A book costs 61 dollars. How much will 3 books cost?", "solution": "Total cost = 61 × 3 = 183 dollars.", "answer": "183", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 50 |
+
{"problem": "A book costs 33 dollars. How much will 4 books cost?", "solution": "Total cost = 33 × 4 = 132 dollars.", "answer": "132", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 51 |
+
{"problem": "A notebook costs 76 dollars. How much will 9 notebooks cost?", "solution": "Total cost = 76 × 9\nTotal cost = 684 dollars.", "answer": "684", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 52 |
+
{"problem": "A notebook costs 81 dollars. How much will 12 notebooks cost?", "solution": "Total cost = 81 × 12\nTotal cost = 972 dollars.", "answer": "972", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 53 |
+
{"problem": "A notebook costs 47 dollars. How much will 6 notebooks cost?", "solution": "Total cost = 47 × 6\nTotal cost = 282 dollars.", "answer": "282", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 54 |
+
{"problem": "A notebook costs 56 dollars. How much will 5 notebooks cost?", "solution": "Total cost = 56 × 5\nTotal cost = 280 dollars.", "answer": "280", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 55 |
+
{"problem": "A notebook costs 43 dollars. How much will 9 notebooks cost?", "solution": "Total cost = 43 × 9\nTotal cost = 387 dollars.", "answer": "387", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 56 |
+
{"problem": "A notebook costs 11 dollars. How much will 2 notebooks cost?", "solution": "Total cost = 11 × 2\nTotal cost = 22 dollars.", "answer": "22", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 57 |
+
{"problem": "A notebook costs 73 dollars. How much will 8 notebooks cost?", "solution": "Total cost = 73 × 8\nTotal cost = 584 dollars.", "answer": "584", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 58 |
+
{"problem": "A notebook costs 69 dollars. How much will 10 notebooks cost?", "solution": "Total cost = 69 × 10\nTotal cost = 690 dollars.", "answer": "690", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 59 |
+
{"problem": "A notebook costs 29 dollars. How much will 12 notebooks cost?", "solution": "Total cost = 29 × 12\nTotal cost = 348 dollars.", "answer": "348", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|
| 60 |
+
{"problem": "A notebook costs 86 dollars. How much will 9 notebooks cost?", "solution": "Total cost = 86 × 9\nTotal cost = 774 dollars.", "answer": "774", "topic": "word_problems.arithmetic", "difficulty": "easy", "education_level": "primary", "language": "en", "verification_status": "verified"}
|