mod int64 7 7 | ops_mode stringclasses 1
value | question stringlengths 215 361 | preamble stringclasses 1
value | equations stringlengths 31 177 | query stringclasses 64
values | answer int64 0 6 | cot stringlengths 34 616 | operator_table listlengths 4 4 | target_depth int64 2 4 | achieved_depth int64 2 4 | num_vars int64 3 11 | num_necessary int64 2 9 | num_distractors int64 0 0 | var_layer unknown | id stringlengths 18 18 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#M := 2 + J#N * G#P. J#K := 1. G#P := 3. J#N := 2. L#O := 3. K#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#M := 2 + J#N * G#P. J#K := 1. G#P := 3. J#N := 2. L#O := 3. | K#M | 5 | J#N = 2 -> J#N = 2
G#P = 3 -> G#P = 3
K#M = 2 + J#N * G#P
= 2 + 2 * 3
2 + 2 = (2 + 2) mod 7 = 4
4 * 3 = (4 × 3) mod 7 = 5
=> K#M = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"L#O": 1,
"J#N": 1,
"G#P": 1,
"J#K": 1,
"K#M": 2
} | mod7_arith_d2_0200 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#N := H#P - H#L. H#L := 6. H#P := 4. I#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#N := H#P - H#L. H#L := 6. H#P := 4. | I#N | 5 | H#L = 6 -> H#L = 6
H#P = 4 -> H#P = 4
I#N = H#P - H#L
= 4 - 6
4 - 6 = (4 - 6) mod 7 = 5
=> I#N = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"H#L": 1,
"H#P": 1,
"I#N": 2
} | mod7_arith_d2_0201 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#J := 3. L#J := 6. I#K := 4. L#L := I#K / F#P - L#J. F#P := 3. L#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#J := 3. L#J := 6. I#K := 4. L#L := I#K / F#P - L#J. F#P := 3. | L#L | 0 | I#K = 4 -> I#K = 4
L#J = 6 -> L#J = 6
F#P = 3 -> F#P = 3
L#L = I#K / F#P - L#J
= 4 / 3 - 6
4 / 3 = (4 × 3⁻¹) mod 7 = 6
6 - 6 = (6 - 6) mod 7 = 0
=> L#L = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 4 | 0 | {
"H#J": 1,
"I#K": 1,
"L#J": 1,
"F#P": 1,
"L#L": 2
} | mod7_arith_d2_0202 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#I := 6. L#I := 1. K#P := 1. J#P := K#P - 3. J#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#I := 6. L#I := 1. K#P := 1. J#P := K#P - 3. | J#P | 5 | K#P = 1 -> K#P = 1
J#P = K#P - 3
= 1 - 3
1 - 3 = (1 - 3) mod 7 = 5
=> J#P = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"K#P": 1,
"L#I": 1,
"I#I": 1,
"J#P": 2
} | mod7_arith_d2_0203 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#L := 5. F#P := 4. J#J := 2. L#N := 5. I#K := F#L - J#J. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#L := 5. F#P := 4. J#J := 2. L#N := 5. I#K := F#L - J#J. | I#K | 3 | F#L = 5 -> F#L = 5
J#J = 2 -> J#J = 2
I#K = F#L - J#J
= 5 - 2
5 - 2 = (5 - 2) mod 7 = 3
=> I#K = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"F#L": 1,
"F#P": 1,
"L#N": 1,
"J#J": 1,
"I#K": 2
} | mod7_arith_d2_0204 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#M := F#N. F#N := 3. L#J := 4. H#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#M := F#N. F#N := 3. L#J := 4. | H#M | 3 | F#N = 3 -> F#N = 3
H#M = F#N = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"L#J": 1,
"F#N": 1,
"H#M": 2
} | mod7_arith_d2_0205 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#P := H#L - I#M + 4. I#M := 6. H#L := 4. F#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#P := H#L - I#M + 4. I#M := 6. H#L := 4. | F#P | 2 | I#M = 6 -> I#M = 6
H#L = 4 -> H#L = 4
F#P = H#L - I#M + 4
= 4 - 6 + 4
4 - 6 = (4 - 6) mod 7 = 5
5 + 4 = (5 + 4) mod 7 = 2
=> F#P = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"I#M": 1,
"H#L": 1,
"F#P": 2
} | mod7_arith_d2_0206 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#L := 1. J#O := I#I * 4. I#I := 1. E#L := 6. J#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#L := 1. J#O := I#I * 4. I#I := 1. E#L := 6. | J#O | 4 | I#I = 1 -> I#I = 1
J#O = I#I * 4
= 1 * 4
1 * 4 = (1 × 4) mod 7 = 4
=> J#O = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"E#L": 1,
"L#L": 1,
"I#I": 1,
"J#O": 2
} | mod7_arith_d2_0207 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#K := G#O. G#O := 4. J#J := 5. I#M := 2. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#K := G#O. G#O := 4. J#J := 5. I#M := 2. | I#K | 4 | G#O = 4 -> G#O = 4
I#K = G#O = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"I#M": 1,
"G#O": 1,
"J#J": 1,
"I#K": 2
} | mod7_arith_d2_0208 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#P := 3. K#P := 5. I#P := E#P. I#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#P := 3. K#P := 5. I#P := E#P. | I#P | 3 | E#P = 3 -> E#P = 3
I#P = E#P = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"K#P": 1,
"E#P": 1,
"I#P": 2
} | mod7_arith_d2_0209 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#O := 1. J#K := E#M. E#M := 3. H#I := 1. E#O := 5. J#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#O := 1. J#K := E#M. E#M := 3. H#I := 1. E#O := 5. | J#K | 3 | E#M = 3 -> E#M = 3
J#K = E#M = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 2 | 0 | {
"E#O": 1,
"G#O": 1,
"H#I": 1,
"E#M": 1,
"J#K": 2
} | mod7_arith_d2_0210 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#J := 1. L#M := 3. I#L := L#M - H#J. I#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#J := 1. L#M := 3. I#L := L#M - H#J. | I#L | 2 | H#J = 1 -> H#J = 1
L#M = 3 -> L#M = 3
I#L = L#M - H#J
= 3 - 1
3 - 1 = (3 - 1) mod 7 = 2
=> I#L = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"H#J": 1,
"L#M": 1,
"I#L": 2
} | mod7_arith_d2_0211 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#P := 2. I#O := G#M + J#N. J#N := 3. G#M := 3. I#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#P := 2. I#O := G#M + J#N. J#N := 3. G#M := 3. | I#O | 6 | G#M = 3 -> G#M = 3
J#N = 3 -> J#N = 3
I#O = G#M + J#N
= 3 + 3
3 + 3 = (3 + 3) mod 7 = 6
=> I#O = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 3 | 0 | {
"I#P": 1,
"G#M": 1,
"J#N": 1,
"I#O": 2
} | mod7_arith_d2_0212 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#P := 5. K#N := 5 + 3 - F#I. F#I := 6. K#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#P := 5. K#N := 5 + 3 - F#I. F#I := 6. | K#N | 2 | F#I = 6 -> F#I = 6
K#N = 5 + 3 - F#I
= 5 + 3 - 6
5 + 3 = (5 + 3) mod 7 = 1
1 - 6 = (1 - 6) mod 7 = 2
=> K#N = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"F#P": 1,
"F#I": 1,
"K#N": 2
} | mod7_arith_d2_0213 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#M := 4. J#M := I#M. G#J := 4. E#M := 2. J#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#M := 4. J#M := I#M. G#J := 4. E#M := 2. | J#M | 4 | I#M = 4 -> I#M = 4
J#M = I#M = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"E#M": 1,
"G#J": 1,
"I#M": 1,
"J#M": 2
} | mod7_arith_d2_0214 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#N := 5. L#N := 1. L#O := K#I. I#J := 2. K#I := 4. L#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#N := 5. L#N := 1. L#O := K#I. I#J := 2. K#I := 4. | L#O | 4 | K#I = 4 -> K#I = 4
L#O = K#I = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 2 | 0 | {
"I#N": 1,
"I#J": 1,
"L#N": 1,
"K#I": 1,
"L#O": 2
} | mod7_arith_d2_0215 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#O := 5. F#L := L#M. L#M := 3. F#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#O := 5. F#L := L#M. L#M := 3. | F#L | 3 | L#M = 3 -> L#M = 3
F#L = L#M = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"G#O": 1,
"L#M": 1,
"F#L": 2
} | mod7_arith_d2_0216 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#O := 6. E#M := H#P. G#N := 4. H#P := 5. E#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#O := 6. E#M := H#P. G#N := 4. H#P := 5. | E#M | 5 | H#P = 5 -> H#P = 5
E#M = H#P = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"H#P": 1,
"G#N": 1,
"F#O": 1,
"E#M": 2
} | mod7_arith_d2_0217 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#I := 4. I#P := L#I * K#I. F#P := 4. K#I := 6. I#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#I := 4. I#P := L#I * K#I. F#P := 4. K#I := 6. | I#P | 3 | K#I = 6 -> K#I = 6
L#I = 4 -> L#I = 4
I#P = L#I * K#I
= 4 * 6
4 * 6 = (4 × 6) mod 7 = 3
=> I#P = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 3 | 0 | {
"K#I": 1,
"F#P": 1,
"L#I": 1,
"I#P": 2
} | mod7_arith_d2_0218 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#O := 5. F#J := E#O / G#M. G#M := 2. F#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#O := 5. F#J := E#O / G#M. G#M := 2. | F#J | 6 | G#M = 2 -> G#M = 2
E#O = 5 -> E#O = 5
F#J = E#O / G#M
= 5 / 2
5 / 2 = (5 × 2⁻¹) mod 7 = 6
=> F#J = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"G#M": 1,
"E#O": 1,
"F#J": 2
} | mod7_arith_d2_0219 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#L := 6. F#N := E#M + F#L. E#K := 2. E#M := 1. H#N := 6. F#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#L := 6. F#N := E#M + F#L. E#K := 2. E#M := 1. H#N := 6. | F#N | 0 | F#L = 6 -> F#L = 6
E#M = 1 -> E#M = 1
F#N = E#M + F#L
= 1 + 6
1 + 6 = (1 + 6) mod 7 = 0
=> F#N = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"F#L": 1,
"H#N": 1,
"E#K": 1,
"E#M": 1,
"F#N": 2
} | mod7_arith_d2_0220 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#M := 5. K#N := G#M. G#M := 5. K#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#M := 5. K#N := G#M. G#M := 5. | K#N | 5 | G#M = 5 -> G#M = 5
K#N = G#M = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"G#M": 1,
"K#M": 1,
"K#N": 2
} | mod7_arith_d2_0221 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#N := 2. I#N := 2. G#K := 5. L#P := G#P - G#K * I#N. G#P := 6. L#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#N := 2. I#N := 2. G#K := 5. L#P := G#P - G#K * I#N. G#P := 6. | L#P | 2 | I#N = 2 -> I#N = 2
G#K = 5 -> G#K = 5
G#P = 6 -> G#P = 6
L#P = G#P - G#K * I#N
= 6 - 5 * 2
6 - 5 = (6 - 5) mod 7 = 1
1 * 2 = (1 × 2) mod 7 = 2
=> L#P = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 4 | 0 | {
"I#N": 1,
"G#K": 1,
"E#N": 1,
"G#P": 1,
"L#P": 2
} | mod7_arith_d2_0222 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#I := 6. I#N := 1. I#I := 2. E#M := E#I - I#I + I#N. E#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#I := 6. I#N := 1. I#I := 2. E#M := E#I - I#I + I#N. | E#M | 5 | I#I = 2 -> I#I = 2
I#N = 1 -> I#N = 1
E#I = 6 -> E#I = 6
E#M = E#I - I#I + I#N
= 6 - 2 + 1
6 - 2 = (6 - 2) mod 7 = 4
4 + 1 = (4 + 1) mod 7 = 5
=> E#M = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 4 | 0 | {
"I#I": 1,
"I#N": 1,
"E#I": 1,
"E#M": 2
} | mod7_arith_d2_0223 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#K := I#O / E#P. E#P := 2. I#O := 4. E#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#K := I#O / E#P. E#P := 2. I#O := 4. | E#K | 2 | E#P = 2 -> E#P = 2
I#O = 4 -> I#O = 4
E#K = I#O / E#P
= 4 / 2
4 / 2 = (4 × 2⁻¹) mod 7 = 2
=> E#K = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"E#P": 1,
"I#O": 1,
"E#K": 2
} | mod7_arith_d2_0224 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#K := E#N. H#K := 3. E#N := 1. F#N := 4. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#K := E#N. H#K := 3. E#N := 1. F#N := 4. | I#K | 1 | E#N = 1 -> E#N = 1
I#K = E#N = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"E#N": 1,
"H#K": 1,
"F#N": 1,
"I#K": 2
} | mod7_arith_d2_0225 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#M := L#L. H#N := 5. L#L := 1. E#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#M := L#L. H#N := 5. L#L := 1. | E#M | 1 | L#L = 1 -> L#L = 1
E#M = L#L = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"L#L": 1,
"H#N": 1,
"E#M": 2
} | mod7_arith_d2_0226 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#J := 2. L#L := J#J / 6. J#J := 2. L#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#J := 2. L#L := J#J / 6. J#J := 2. | L#L | 5 | J#J = 2 -> J#J = 2
L#L = J#J / 6
= 2 / 6
2 / 6 = (2 × 6⁻¹) mod 7 = 5
=> L#L = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"G#J": 1,
"J#J": 1,
"L#L": 2
} | mod7_arith_d2_0227 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#O := H#L. H#L := 4. K#N := 6. H#J := 4. J#K := 5. F#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#O := H#L. H#L := 4. K#N := 6. H#J := 4. J#K := 5. | F#O | 4 | H#L = 4 -> H#L = 4
F#O = H#L = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 2 | 0 | {
"K#N": 1,
"H#J": 1,
"H#L": 1,
"J#K": 1,
"F#O": 2
} | mod7_arith_d2_0228 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#N := 3. L#L := 3. L#M := H#M - L#L. H#M := 6. L#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#N := 3. L#L := 3. L#M := H#M - L#L. H#M := 6. | L#M | 3 | H#M = 6 -> H#M = 6
L#L = 3 -> L#L = 3
L#M = H#M - L#L
= 6 - 3
6 - 3 = (6 - 3) mod 7 = 3
=> L#M = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 3 | 0 | {
"H#M": 1,
"L#L": 1,
"E#N": 1,
"L#M": 2
} | mod7_arith_d2_0229 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#I := 6. K#O := 2 / L#N. G#J := 1. K#L := 4. L#N := 1. K#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#I := 6. K#O := 2 / L#N. G#J := 1. K#L := 4. L#N := 1. | K#O | 2 | L#N = 1 -> L#N = 1
K#O = 2 / L#N
= 2 / 1
2 / 1 = (2 × 1⁻¹) mod 7 = 2
=> K#O = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 2 | 0 | {
"L#N": 1,
"G#J": 1,
"K#L": 1,
"E#I": 1,
"K#O": 2
} | mod7_arith_d2_0230 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#I := 1. G#J := 1. K#O := 4. J#J := G#J / J#K * F#I. J#K := 4. J#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#I := 1. G#J := 1. K#O := 4. J#J := G#J / J#K * F#I. J#K := 4. | J#J | 2 | J#K = 4 -> J#K = 4
G#J = 1 -> G#J = 1
F#I = 1 -> F#I = 1
J#J = G#J / J#K * F#I
= 1 / 4 * 1
1 / 4 = (1 × 4⁻¹) mod 7 = 2
2 * 1 = (2 × 1) mod 7 = 2
=> J#J = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 4 | 0 | {
"J#K": 1,
"G#J": 1,
"F#I": 1,
"K#O": 1,
"J#J": 2
} | mod7_arith_d2_0231 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
J#M := 2. J#O := 4. F#J := J#O. F#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | J#M := 2. J#O := 4. F#J := J#O. | F#J | 4 | J#O = 4 -> J#O = 4
F#J = J#O = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"J#O": 1,
"J#M": 1,
"F#J": 2
} | mod7_arith_d2_0232 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
J#J := 5. K#K := 1. I#I := 2. E#K := I#I + K#K. I#L := 4. E#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | J#J := 5. K#K := 1. I#I := 2. E#K := I#I + K#K. I#L := 4. | E#K | 3 | I#I = 2 -> I#I = 2
K#K = 1 -> K#K = 1
E#K = I#I + K#K
= 2 + 1
2 + 1 = (2 + 1) mod 7 = 3
=> E#K = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"I#L": 1,
"I#I": 1,
"K#K": 1,
"J#J": 1,
"E#K": 2
} | mod7_arith_d2_0233 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#K := I#L. I#L := 5. I#N := 5. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#K := I#L. I#L := 5. I#N := 5. | I#K | 5 | I#L = 5 -> I#L = 5
I#K = I#L = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"I#N": 1,
"I#L": 1,
"I#K": 2
} | mod7_arith_d2_0234 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#O := 5. E#J := 1. I#K := E#J + 2. G#L := 3. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#O := 5. E#J := 1. I#K := E#J + 2. G#L := 3. | I#K | 3 | E#J = 1 -> E#J = 1
I#K = E#J + 2
= 1 + 2
1 + 2 = (1 + 2) mod 7 = 3
=> I#K = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"G#L": 1,
"E#J": 1,
"H#O": 1,
"I#K": 2
} | mod7_arith_d2_0235 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#I := 3. G#I := 3. E#M := 5. J#N := 3. J#I := E#M. J#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#I := 3. G#I := 3. E#M := 5. J#N := 3. J#I := E#M. | J#I | 5 | E#M = 5 -> E#M = 5
J#I = E#M = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 2 | 0 | {
"K#I": 1,
"J#N": 1,
"E#M": 1,
"G#I": 1,
"J#I": 2
} | mod7_arith_d2_0236 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#P := 2. H#K := 5. I#J := 2. J#N := H#K + I#P. J#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#P := 2. H#K := 5. I#J := 2. J#N := H#K + I#P. | J#N | 0 | H#K = 5 -> H#K = 5
I#P = 2 -> I#P = 2
J#N = H#K + I#P
= 5 + 2
5 + 2 = (5 + 2) mod 7 = 0
=> J#N = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 3 | 0 | {
"H#K": 1,
"I#J": 1,
"I#P": 1,
"J#N": 2
} | mod7_arith_d2_0237 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#I := 4. E#P := 2. E#N := 3. I#I := E#N - F#J. F#J := 1. I#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#I := 4. E#P := 2. E#N := 3. I#I := E#N - F#J. F#J := 1. | I#I | 2 | E#N = 3 -> E#N = 3
F#J = 1 -> F#J = 1
I#I = E#N - F#J
= 3 - 1
3 - 1 = (3 - 1) mod 7 = 2
=> I#I = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"E#N": 1,
"F#J": 1,
"K#I": 1,
"E#P": 1,
"I#I": 2
} | mod7_arith_d2_0238 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#O := H#I. L#M := 2. E#I := 6. H#I := 4. H#O := 1. K#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#O := H#I. L#M := 2. E#I := 6. H#I := 4. H#O := 1. | K#O | 4 | H#I = 4 -> H#I = 4
K#O = H#I = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 2 | 0 | {
"H#O": 1,
"L#M": 1,
"E#I": 1,
"H#I": 1,
"K#O": 2
} | mod7_arith_d2_0239 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#N := 6. J#P := G#N. K#P := 2. H#M := 3. J#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#N := 6. J#P := G#N. K#P := 2. H#M := 3. | J#P | 6 | G#N = 6 -> G#N = 6
J#P = G#N = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"H#M": 1,
"K#P": 1,
"G#N": 1,
"J#P": 2
} | mod7_arith_d2_0240 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#M := E#I / E#K. K#P := 5. E#I := 2. E#K := 1. H#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#M := E#I / E#K. K#P := 5. E#I := 2. E#K := 1. | H#M | 2 | E#I = 2 -> E#I = 2
E#K = 1 -> E#K = 1
H#M = E#I / E#K
= 2 / 1
2 / 1 = (2 × 1⁻¹) mod 7 = 2
=> H#M = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 3 | 0 | {
"E#I": 1,
"K#P": 1,
"E#K": 1,
"H#M": 2
} | mod7_arith_d2_0241 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#M := 4. G#P := G#I / G#M. G#I := 6. G#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#M := 4. G#P := G#I / G#M. G#I := 6. | G#P | 5 | G#M = 4 -> G#M = 4
G#I = 6 -> G#I = 6
G#P = G#I / G#M
= 6 / 4
6 / 4 = (6 × 4⁻¹) mod 7 = 5
=> G#P = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"G#M": 1,
"G#I": 1,
"G#P": 2
} | mod7_arith_d2_0242 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#M := 1. J#M := 2. J#L := L#J + K#N. K#N := 4. L#J := 4. J#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#M := 1. J#M := 2. J#L := L#J + K#N. K#N := 4. L#J := 4. | J#L | 1 | L#J = 4 -> L#J = 4
K#N = 4 -> K#N = 4
J#L = L#J + K#N
= 4 + 4
4 + 4 = (4 + 4) mod 7 = 1
=> J#L = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"K#M": 1,
"L#J": 1,
"K#N": 1,
"J#M": 1,
"J#L": 2
} | mod7_arith_d2_0243 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#K := 1. E#P := 1. J#L := 6. G#O := J#L. G#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#K := 1. E#P := 1. J#L := 6. G#O := J#L. | G#O | 6 | J#L = 6 -> J#L = 6
G#O = J#L = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"E#P": 1,
"I#K": 1,
"J#L": 1,
"G#O": 2
} | mod7_arith_d2_0244 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#N := 5. L#K := J#P + F#N. J#P := 4. I#M := 3. I#N := 2. L#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#N := 5. L#K := J#P + F#N. J#P := 4. I#M := 3. I#N := 2. | L#K | 2 | J#P = 4 -> J#P = 4
F#N = 5 -> F#N = 5
L#K = J#P + F#N
= 4 + 5
4 + 5 = (4 + 5) mod 7 = 2
=> L#K = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"I#N": 1,
"J#P": 1,
"F#N": 1,
"I#M": 1,
"L#K": 2
} | mod7_arith_d2_0245 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#M := 2. G#L := 3. I#K := I#M - 6 * G#L. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#M := 2. G#L := 3. I#K := I#M - 6 * G#L. | I#K | 2 | I#M = 2 -> I#M = 2
G#L = 3 -> G#L = 3
I#K = I#M - 6 * G#L
= 2 - 6 * 3
2 - 6 = (2 - 6) mod 7 = 3
3 * 3 = (3 × 3) mod 7 = 2
=> I#K = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 3 | 0 | {
"I#M": 1,
"G#L": 1,
"I#K": 2
} | mod7_arith_d2_0246 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#P := K#M - 4. H#L := 5. E#O := 1. K#M := 1. I#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#P := K#M - 4. H#L := 5. E#O := 1. K#M := 1. | I#P | 4 | K#M = 1 -> K#M = 1
I#P = K#M - 4
= 1 - 4
1 - 4 = (1 - 4) mod 7 = 4
=> I#P = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 4 | 2 | 0 | {
"E#O": 1,
"H#L": 1,
"K#M": 1,
"I#P": 2
} | mod7_arith_d2_0247 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#M := 5. H#J := 5 / G#M. H#N := 4. H#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#M := 5. H#J := 5 / G#M. H#N := 4. | H#J | 1 | G#M = 5 -> G#M = 5
H#J = 5 / G#M
= 5 / 5
5 / 5 = (5 × 5⁻¹) mod 7 = 1
=> H#J = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 3 | 2 | 0 | {
"H#N": 1,
"G#M": 1,
"H#J": 2
} | mod7_arith_d2_0248 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#L := 2. I#L := 4. K#M := 3. E#P := K#M / F#L. K#P := 4. E#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#L := 2. I#L := 4. K#M := 3. E#P := K#M / F#L. K#P := 4. | E#P | 5 | F#L = 2 -> F#L = 2
K#M = 3 -> K#M = 3
E#P = K#M / F#L
= 3 / 2
3 / 2 = (3 × 2⁻¹) mod 7 = 5
=> E#P = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 2 | 2 | 5 | 3 | 0 | {
"K#P": 1,
"I#L": 1,
"F#L": 1,
"K#M": 1,
"E#P": 2
} | mod7_arith_d2_0249 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#L := I#J. F#L := 1. I#J := 5. I#O := 6 + 5 - F#L. J#K := I#O - L#L / F#N. F#N := 4. J#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#L := I#J. F#L := 1. I#J := 5. I#O := 6 + 5 - F#L. J#K := I#O - L#L / F#N. F#N := 4. | J#K | 3 | I#J = 5 -> I#J = 5
F#N = 4 -> F#N = 4
F#L = 1 -> F#L = 1
I#O = 6 + 5 - F#L
= 6 + 5 - 1
6 + 5 = (6 + 5) mod 7 = 4
4 - 1 = (4 - 1) mod 7 = 3
=> I#O = 3
L#L = I#J = 5
J#K = I#O - L#L / F#N
= 3 - 5 / 4
3 - 5 = (3 - 5) mod 7 = 5
5 / 4 = (5 × 4⁻¹) mod 7 = 3
=> J#K = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 6 | 0 | {
"I#J": 1,
"F#N": 1,
"F#L": 1,
"I#O": 2,
"L#L": 2,
"J#K": 3
} | mod7_arith_d3_0000 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#J := L#O + 2. G#N := 1. H#K := G#P / G#N. G#P := 2. L#M := L#J. L#O := 4. F#M := G#N * G#P - L#O. L#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#J := L#O + 2. G#N := 1. H#K := G#P / G#N. G#P := 2. L#M := L#J. L#O := 4. F#M := G#N * G#P - L#O. | L#M | 6 | L#O = 4 -> L#O = 4
L#J = L#O + 2
= 4 + 2
4 + 2 = (4 + 2) mod 7 = 6
=> L#J = 6
L#M = L#J = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"G#N": 1,
"L#O": 1,
"G#P": 1,
"H#K": 2,
"L#J": 2,
"F#M": 2,
"L#M": 3
} | mod7_arith_d3_0001 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#O := L#P + H#P. I#I := 3. H#P := L#P. H#J := 5. I#O := I#I * H#J. L#P := 1. L#I := H#J. L#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#O := L#P + H#P. I#I := 3. H#P := L#P. H#J := 5. I#O := I#I * H#J. L#P := 1. L#I := H#J. | L#O | 2 | L#P = 1 -> L#P = 1
H#P = L#P = 1
L#O = L#P + H#P
= 1 + 1
1 + 1 = (1 + 1) mod 7 = 2
=> L#O = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"H#J": 1,
"I#I": 1,
"L#P": 1,
"H#P": 2,
"L#I": 2,
"I#O": 2,
"L#O": 3
} | mod7_arith_d3_0002 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#K := 1. J#I := J#K. J#K := 5. J#M := F#M. H#P := E#K. K#K := H#P * E#K. F#M := 1. K#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#K := 1. J#I := J#K. J#K := 5. J#M := F#M. H#P := E#K. K#K := H#P * E#K. F#M := 1. | K#K | 1 | E#K = 1 -> E#K = 1
H#P = E#K = 1
K#K = H#P * E#K
= 1 * 1
1 * 1 = (1 × 1) mod 7 = 1
=> K#K = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"F#M": 1,
"J#K": 1,
"E#K": 1,
"H#P": 2,
"J#I": 2,
"J#M": 2,
"K#K": 3
} | mod7_arith_d3_0003 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#J := 3. L#J := 4 - E#J. I#L := 6 + K#O. K#O := H#J - 5. H#J := 6. I#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#J := 3. L#J := 4 - E#J. I#L := 6 + K#O. K#O := H#J - 5. H#J := 6. | I#L | 0 | H#J = 6 -> H#J = 6
K#O = H#J - 5
= 6 - 5
6 - 5 = (6 - 5) mod 7 = 1
=> K#O = 1
I#L = 6 + K#O
= 6 + 1
6 + 1 = (6 + 1) mod 7 = 0
=> I#L = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 3 | 0 | {
"H#J": 1,
"E#J": 1,
"K#O": 2,
"L#J": 2,
"I#L": 3
} | mod7_arith_d3_0004 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#I := 2. F#I := K#N - L#K. K#L := L#I / K#N. L#K := 6. H#O := F#I. I#M := K#N. K#N := 5. H#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#I := 2. F#I := K#N - L#K. K#L := L#I / K#N. L#K := 6. H#O := F#I. I#M := K#N. K#N := 5. | H#O | 6 | K#N = 5 -> K#N = 5
L#K = 6 -> L#K = 6
F#I = K#N - L#K
= 5 - 6
5 - 6 = (5 - 6) mod 7 = 6
=> F#I = 6
H#O = F#I = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"L#I": 1,
"K#N": 1,
"L#K": 1,
"I#M": 2,
"K#L": 2,
"F#I": 2,
"H#O": 3
} | mod7_arith_d3_0005 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#N := I#P - 5 * H#J. H#J := 5. E#J := 3. L#K := F#L / K#I. I#P := H#J. F#L := 1. K#I := 6. H#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#N := I#P - 5 * H#J. H#J := 5. E#J := 3. L#K := F#L / K#I. I#P := H#J. F#L := 1. K#I := 6. | H#N | 0 | H#J = 5 -> H#J = 5
I#P = H#J = 5
H#N = I#P - 5 * H#J
= 5 - 5 * 5
5 - 5 = (5 - 5) mod 7 = 0
0 * 5 = (0 × 5) mod 7 = 0
=> H#N = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"F#L": 1,
"E#J": 1,
"H#J": 1,
"K#I": 1,
"I#P": 2,
"L#K": 2,
"H#N": 3
} | mod7_arith_d3_0006 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#I := 6. K#K := 6. L#N := 1. E#K := 5. L#M := E#K - I#I * G#J. G#J := K#K * L#N. E#J := L#N - I#I. L#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#I := 6. K#K := 6. L#N := 1. E#K := 5. L#M := E#K - I#I * G#J. G#J := K#K * L#N. E#J := L#N - I#I. | L#M | 1 | L#N = 1 -> L#N = 1
K#K = 6 -> K#K = 6
E#K = 5 -> E#K = 5
I#I = 6 -> I#I = 6
G#J = K#K * L#N
= 6 * 1
6 * 1 = (6 × 1) mod 7 = 6
=> G#J = 6
L#M = E#K - I#I * G#J
= 5 - 6 * 6
5 - 6 = (5 - 6) mod 7 = 6
6 * 6 = (6 × 6) mod 7 = 1
=> L#M = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 6 | 0 | {
"L#N": 1,
"K#K": 1,
"E#K": 1,
"I#I": 1,
"G#J": 2,
"E#J": 2,
"L#M": 3
} | mod7_arith_d3_0007 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#P := L#M / G#P. L#M := 4. L#J := F#O * I#P * G#P. F#O := L#M / G#P + 4. G#P := 6. L#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#P := L#M / G#P. L#M := 4. L#J := F#O * I#P * G#P. F#O := L#M / G#P + 4. G#P := 6. | L#J | 0 | G#P = 6 -> G#P = 6
L#M = 4 -> L#M = 4
F#O = L#M / G#P + 4
= 4 / 6 + 4
4 / 6 = (4 × 6⁻¹) mod 7 = 3
3 + 4 = (3 + 4) mod 7 = 0
=> F#O = 0
I#P = L#M / G#P
= 4 / 6
4 / 6 = (4 × 6⁻¹) mod 7 = 3
=> I#P = 3
L#J = F#O * I#P * G#P
= 0 * 3 * 6
0 * 3 = (0 × 3) mod 7 = 0
0 * 6 = (0 × 6) mo... | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 5 | 0 | {
"G#P": 1,
"L#M": 1,
"F#O": 2,
"I#P": 2,
"L#J": 3
} | mod7_arith_d3_0008 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#O := 6. K#M := 2. E#L := 1. G#K := E#J + 4. E#J := 3. I#N := E#L. I#K := 5 + G#K * E#J. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#O := 6. K#M := 2. E#L := 1. G#K := E#J + 4. E#J := 3. I#N := E#L. I#K := 5 + G#K * E#J. | I#K | 1 | E#J = 3 -> E#J = 3
G#K = E#J + 4
= 3 + 4
3 + 4 = (3 + 4) mod 7 = 0
=> G#K = 0
I#K = 5 + G#K * E#J
= 5 + 0 * 3
5 + 0 = (5 + 0) mod 7 = 5
5 * 3 = (5 × 3) mod 7 = 1
=> I#K = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"H#O": 1,
"E#J": 1,
"E#L": 1,
"K#M": 1,
"G#K": 2,
"I#N": 2,
"I#K": 3
} | mod7_arith_d3_0009 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#I := G#L + F#J. L#O := 2. G#L := 2. I#K := 5. F#J := L#O / G#L - 4. I#O := L#O. H#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#I := G#L + F#J. L#O := 2. G#L := 2. I#K := 5. F#J := L#O / G#L - 4. I#O := L#O. | H#I | 6 | L#O = 2 -> L#O = 2
G#L = 2 -> G#L = 2
F#J = L#O / G#L - 4
= 2 / 2 - 4
2 / 2 = (2 × 2⁻¹) mod 7 = 1
1 - 4 = (1 - 4) mod 7 = 4
=> F#J = 4
H#I = G#L + F#J
= 2 + 4
2 + 4 = (2 + 4) mod 7 = 6
=> H#I = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 4 | 0 | {
"L#O": 1,
"I#K": 1,
"G#L": 1,
"I#O": 2,
"F#J": 2,
"H#I": 3
} | mod7_arith_d3_0010 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#N := 5. K#P := K#O + 2. E#O := 3 - H#N. H#N := 5 - K#O. K#O := 5. E#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#N := 5. K#P := K#O + 2. E#O := 3 - H#N. H#N := 5 - K#O. K#O := 5. | E#O | 3 | K#O = 5 -> K#O = 5
H#N = 5 - K#O
= 5 - 5
5 - 5 = (5 - 5) mod 7 = 0
=> H#N = 0
E#O = 3 - H#N
= 3 - 0
3 - 0 = (3 - 0) mod 7 = 3
=> E#O = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 3 | 0 | {
"L#N": 1,
"K#O": 1,
"K#P": 2,
"H#N": 2,
"E#O": 3
} | mod7_arith_d3_0011 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#M := 4 / L#N. I#I := 1. I#O := L#N / 6 / K#O. I#P := I#O * 4. L#N := 5. K#O := 2. J#P := I#I * 6 - 5. I#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#M := 4 / L#N. I#I := 1. I#O := L#N / 6 / K#O. I#P := I#O * 4. L#N := 5. K#O := 2. J#P := I#I * 6 - 5. | I#P | 4 | L#N = 5 -> L#N = 5
K#O = 2 -> K#O = 2
I#O = L#N / 6 / K#O
= 5 / 6 / 2
5 / 6 = (5 × 6⁻¹) mod 7 = 2
2 / 2 = (2 × 2⁻¹) mod 7 = 1
=> I#O = 1
I#P = I#O * 4
= 1 * 4
1 * 4 = (1 × 4) mod 7 = 4
=> I#P = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"L#N": 1,
"K#O": 1,
"I#I": 1,
"L#M": 2,
"I#O": 2,
"J#P": 2,
"I#P": 3
} | mod7_arith_d3_0012 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#P := 6 / K#K / L#N. J#L := K#K. K#K := 3. H#K := L#P / 5. L#N := 6. H#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#P := 6 / K#K / L#N. J#L := K#K. K#K := 3. H#K := L#P / 5. L#N := 6. | H#K | 1 | L#N = 6 -> L#N = 6
K#K = 3 -> K#K = 3
L#P = 6 / K#K / L#N
= 6 / 3 / 6
6 / 3 = (6 × 3⁻¹) mod 7 = 2
2 / 6 = (2 × 6⁻¹) mod 7 = 5
=> L#P = 5
H#K = L#P / 5
= 5 / 5
5 / 5 = (5 × 5⁻¹) mod 7 = 1
=> H#K = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 4 | 0 | {
"L#N": 1,
"K#K": 1,
"L#P": 2,
"J#L": 2,
"H#K": 3
} | mod7_arith_d3_0013 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#P := 3. H#J := 3 - E#P. J#J := 6. L#P := K#O + G#N. K#O := E#P * G#N. G#N := 5. L#N := 4. L#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#P := 3. H#J := 3 - E#P. J#J := 6. L#P := K#O + G#N. K#O := E#P * G#N. G#N := 5. L#N := 4. | L#P | 6 | G#N = 5 -> G#N = 5
E#P = 3 -> E#P = 3
K#O = E#P * G#N
= 3 * 5
3 * 5 = (3 × 5) mod 7 = 1
=> K#O = 1
L#P = K#O + G#N
= 1 + 5
1 + 5 = (1 + 5) mod 7 = 6
=> L#P = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"G#N": 1,
"L#N": 1,
"E#P": 1,
"J#J": 1,
"K#O": 2,
"H#J": 2,
"L#P": 3
} | mod7_arith_d3_0014 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#P := H#M. H#M := 4. E#K := 5. J#P := I#I / H#M. F#L := H#M - E#K. I#I := E#K. J#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#P := H#M. H#M := 4. E#K := 5. J#P := I#I / H#M. F#L := H#M - E#K. I#I := E#K. | J#P | 3 | E#K = 5 -> E#K = 5
H#M = 4 -> H#M = 4
I#I = E#K = 5
J#P = I#I / H#M
= 5 / 4
5 / 4 = (5 × 4⁻¹) mod 7 = 3
=> J#P = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 4 | 0 | {
"E#K": 1,
"H#M": 1,
"L#P": 2,
"F#L": 2,
"I#I": 2,
"J#P": 3
} | mod7_arith_d3_0015 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#N := 2. E#P := H#L + J#P + I#P. I#L := J#P. I#P := 5. H#L := 5 * E#J * 6. E#J := 2. J#P := 3. E#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#N := 2. E#P := H#L + J#P + I#P. I#L := J#P. I#P := 5. H#L := 5 * E#J * 6. E#J := 2. J#P := 3. | E#P | 5 | I#P = 5 -> I#P = 5
E#J = 2 -> E#J = 2
J#P = 3 -> J#P = 3
H#L = 5 * E#J * 6
= 5 * 2 * 6
5 * 2 = (5 × 2) mod 7 = 3
3 * 6 = (3 × 6) mod 7 = 4
=> H#L = 4
E#P = H#L + J#P + I#P
= 4 + 3 + 5
4 + 3 = (4 + 3) mod 7 = 0
0 + 5 = (0 + 5) mod 7 = 5
=> E#P = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 5 | 0 | {
"I#P": 1,
"E#J": 1,
"J#P": 1,
"F#N": 1,
"I#L": 2,
"H#L": 2,
"E#P": 3
} | mod7_arith_d3_0016 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#J := H#L + I#L. I#L := 3. H#L := 6. I#P := J#J. L#P := H#L + I#L. J#J := H#L / I#L. I#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#J := H#L + I#L. I#L := 3. H#L := 6. I#P := J#J. L#P := H#L + I#L. J#J := H#L / I#L. | I#P | 2 | I#L = 3 -> I#L = 3
H#L = 6 -> H#L = 6
J#J = H#L / I#L
= 6 / 3
6 / 3 = (6 × 3⁻¹) mod 7 = 2
=> J#J = 2
I#P = J#J = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 4 | 0 | {
"I#L": 1,
"H#L": 1,
"K#J": 2,
"L#P": 2,
"J#J": 2,
"I#P": 3
} | mod7_arith_d3_0017 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#K := 3. G#L := 6. E#O := 3. J#L := G#K + E#O. G#P := 5. G#K := K#K. H#K := G#L / E#O + K#K. J#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#K := 3. G#L := 6. E#O := 3. J#L := G#K + E#O. G#P := 5. G#K := K#K. H#K := G#L / E#O + K#K. | J#L | 6 | E#O = 3 -> E#O = 3
K#K = 3 -> K#K = 3
G#K = K#K = 3
J#L = G#K + E#O
= 3 + 3
3 + 3 = (3 + 3) mod 7 = 6
=> J#L = 6 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"E#O": 1,
"K#K": 1,
"G#P": 1,
"G#L": 1,
"G#K": 2,
"H#K": 2,
"J#L": 3
} | mod7_arith_d3_0018 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#L := E#P. G#K := 1. H#M := G#K * F#M. G#J := E#L + H#M. F#M := 1. E#P := 6. J#M := 4. G#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#L := E#P. G#K := 1. H#M := G#K * F#M. G#J := E#L + H#M. F#M := 1. E#P := 6. J#M := 4. | G#J | 0 | F#M = 1 -> F#M = 1
E#P = 6 -> E#P = 6
G#K = 1 -> G#K = 1
E#L = E#P = 6
H#M = G#K * F#M
= 1 * 1
1 * 1 = (1 × 1) mod 7 = 1
=> H#M = 1
G#J = E#L + H#M
= 6 + 1
6 + 1 = (6 + 1) mod 7 = 0
=> G#J = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 6 | 0 | {
"F#M": 1,
"J#M": 1,
"E#P": 1,
"G#K": 1,
"E#L": 2,
"H#M": 2,
"G#J": 3
} | mod7_arith_d3_0019 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#K := K#O - F#I. K#K := K#O / 3. E#J := K#O + G#P * I#N. E#N := 3. K#O := 5. F#I := 5. I#N := E#N / 3. G#P := 3. E#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#K := K#O - F#I. K#K := K#O / 3. E#J := K#O + G#P * I#N. E#N := 3. K#O := 5. F#I := 5. I#N := E#N / 3. G#P := 3. | E#J | 1 | K#O = 5 -> K#O = 5
E#N = 3 -> E#N = 3
G#P = 3 -> G#P = 3
I#N = E#N / 3
= 3 / 3
3 / 3 = (3 × 3⁻¹) mod 7 = 1
=> I#N = 1
E#J = K#O + G#P * I#N
= 5 + 3 * 1
5 + 3 = (5 + 3) mod 7 = 1
1 * 1 = (1 × 1) mod 7 = 1
=> E#J = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 5 | 0 | {
"K#O": 1,
"E#N": 1,
"G#P": 1,
"F#I": 1,
"I#K": 2,
"I#N": 2,
"K#K": 2,
"E#J": 3
} | mod7_arith_d3_0020 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#J := F#O * J#P / 4. F#O := 2. J#P := 1. E#P := 6 / F#O. I#P := F#M * E#P - 6. L#N := F#M / F#O. F#M := 3. I#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#J := F#O * J#P / 4. F#O := 2. J#P := 1. E#P := 6 / F#O. I#P := F#M * E#P - 6. L#N := F#M / F#O. F#M := 3. | I#P | 3 | F#O = 2 -> F#O = 2
F#M = 3 -> F#M = 3
E#P = 6 / F#O
= 6 / 2
6 / 2 = (6 × 2⁻¹) mod 7 = 3
=> E#P = 3
I#P = F#M * E#P - 6
= 3 * 3 - 6
3 * 3 = (3 × 3) mod 7 = 2
2 - 6 = (2 - 6) mod 7 = 3
=> I#P = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"F#O": 1,
"F#M": 1,
"J#P": 1,
"E#P": 2,
"G#J": 2,
"L#N": 2,
"I#P": 3
} | mod7_arith_d3_0021 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#P := 5. K#I := I#L / 3. J#O := 5. J#P := 5. I#L := J#I / J#O / J#P. E#M := J#O + I#P + 5. J#I := 1. G#O := J#P / J#I. K#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#P := 5. K#I := I#L / 3. J#O := 5. J#P := 5. I#L := J#I / J#O / J#P. E#M := J#O + I#P + 5. J#I := 1. G#O := J#P / J#I. | K#I | 3 | J#P = 5 -> J#P = 5
J#I = 1 -> J#I = 1
J#O = 5 -> J#O = 5
I#L = J#I / J#O / J#P
= 1 / 5 / 5
1 / 5 = (1 × 5⁻¹) mod 7 = 3
3 / 5 = (3 × 5⁻¹) mod 7 = 2
=> I#L = 2
K#I = I#L / 3
= 2 / 3
2 / 3 = (2 × 3⁻¹) mod 7 = 3
=> K#I = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 5 | 0 | {
"J#P": 1,
"I#P": 1,
"J#I": 1,
"J#O": 1,
"I#L": 2,
"G#O": 2,
"E#M": 2,
"K#I": 3
} | mod7_arith_d3_0022 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#I := H#N + 6 / 5. H#N := 6 - G#J * F#O. F#L := F#O - G#J + K#L. F#O := 4. K#L := 3. F#J := K#L - G#J. G#J := 5. E#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#I := H#N + 6 / 5. H#N := 6 - G#J * F#O. F#L := F#O - G#J + K#L. F#O := 4. K#L := 3. F#J := K#L - G#J. G#J := 5. | E#I | 2 | G#J = 5 -> G#J = 5
F#O = 4 -> F#O = 4
H#N = 6 - G#J * F#O
= 6 - 5 * 4
6 - 5 = (6 - 5) mod 7 = 1
1 * 4 = (1 × 4) mod 7 = 4
=> H#N = 4
E#I = H#N + 6 / 5
= 4 + 6 / 5
4 + 6 = (4 + 6) mod 7 = 3
3 / 5 = (3 × 5⁻¹) mod 7 = 2
=> E#I = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"G#J": 1,
"K#L": 1,
"F#O": 1,
"F#L": 2,
"F#J": 2,
"H#N": 2,
"E#I": 3
} | mod7_arith_d3_0023 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#P := 1. J#K := 5. F#I := 4. F#J := 5. L#O := F#I. L#K := H#P + F#J. H#M := F#I / J#K / H#P. K#O := L#K - 6 / 3. K#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#P := 1. J#K := 5. F#I := 4. F#J := 5. L#O := F#I. L#K := H#P + F#J. H#M := F#I / J#K / H#P. K#O := L#K - 6 / 3. | K#O | 0 | F#J = 5 -> F#J = 5
H#P = 1 -> H#P = 1
L#K = H#P + F#J
= 1 + 5
1 + 5 = (1 + 5) mod 7 = 6
=> L#K = 6
K#O = L#K - 6 / 3
= 6 - 6 / 3
6 - 6 = (6 - 6) mod 7 = 0
0 / 3 = (0 × 3⁻¹) mod 7 = 0
=> K#O = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 4 | 0 | {
"F#J": 1,
"F#I": 1,
"J#K": 1,
"H#P": 1,
"L#O": 2,
"L#K": 2,
"H#M": 2,
"K#O": 3
} | mod7_arith_d3_0024 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
J#K := 4. G#L := J#K / K#J. K#J := 4. G#O := K#J / J#K. I#K := G#O + G#L * E#O. E#O := K#J. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | J#K := 4. G#L := J#K / K#J. K#J := 4. G#O := K#J / J#K. I#K := G#O + G#L * E#O. E#O := K#J. | I#K | 1 | K#J = 4 -> K#J = 4
J#K = 4 -> J#K = 4
E#O = K#J = 4
G#L = J#K / K#J
= 4 / 4
4 / 4 = (4 × 4⁻¹) mod 7 = 1
=> G#L = 1
G#O = K#J / J#K
= 4 / 4
4 / 4 = (4 × 4⁻¹) mod 7 = 1
=> G#O = 1
I#K = G#O + G#L * E#O
= 1 + 1 * 4
1 + 1 = (1 + 1) mod 7 = 2
2 * 4 = (2 × 4) mod 7 = 1
=> I#K = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 6 | 0 | {
"K#J": 1,
"J#K": 1,
"E#O": 2,
"G#L": 2,
"G#O": 2,
"I#K": 3
} | mod7_arith_d3_0025 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#K := 5. E#M := 4. F#O := H#K + J#P * I#I. H#J := 3. J#P := 2 - E#M. I#I := H#J * 2. F#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#K := 5. E#M := 4. F#O := H#K + J#P * I#I. H#J := 3. J#P := 2 - E#M. I#I := H#J * 2. | F#O | 4 | H#K = 5 -> H#K = 5
E#M = 4 -> E#M = 4
H#J = 3 -> H#J = 3
I#I = H#J * 2
= 3 * 2
3 * 2 = (3 × 2) mod 7 = 6
=> I#I = 6
J#P = 2 - E#M
= 2 - 4
2 - 4 = (2 - 4) mod 7 = 5
=> J#P = 5
F#O = H#K + J#P * I#I
= 5 + 5 * 6
5 + 5 = (5 + 5) mod 7 = 3
3 * 6 = (3 × 6) mod 7 = 4
=> F#O = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 6 | 0 | {
"H#K": 1,
"E#M": 1,
"H#J": 1,
"I#I": 2,
"J#P": 2,
"F#O": 3
} | mod7_arith_d3_0026 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#P := H#M * L#I. G#M := 1. L#I := G#P - J#P. G#P := 5. J#P := 5. H#M := 2 * H#I / G#P. H#I := 2. L#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#P := H#M * L#I. G#M := 1. L#I := G#P - J#P. G#P := 5. J#P := 5. H#M := 2 * H#I / G#P. H#I := 2. | L#P | 0 | H#I = 2 -> H#I = 2
J#P = 5 -> J#P = 5
G#P = 5 -> G#P = 5
H#M = 2 * H#I / G#P
= 2 * 2 / 5
2 * 2 = (2 × 2) mod 7 = 4
4 / 5 = (4 × 5⁻¹) mod 7 = 5
=> H#M = 5
L#I = G#P - J#P
= 5 - 5
5 - 5 = (5 - 5) mod 7 = 0
=> L#I = 0
L#P = H#M * L#I
= 5 * 0
5 * 0 = (5 × 0) mod 7 = 0
=> L#P = ... | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 6 | 0 | {
"G#M": 1,
"H#I": 1,
"J#P": 1,
"G#P": 1,
"H#M": 2,
"L#I": 2,
"L#P": 3
} | mod7_arith_d3_0027 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#I := 2. E#O := G#I. G#I := 4. J#P := H#I * G#I. E#I := J#P / H#I. E#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#I := 2. E#O := G#I. G#I := 4. J#P := H#I * G#I. E#I := J#P / H#I. | E#I | 4 | H#I = 2 -> H#I = 2
G#I = 4 -> G#I = 4
J#P = H#I * G#I
= 2 * 4
2 * 4 = (2 × 4) mod 7 = 1
=> J#P = 1
E#I = J#P / H#I
= 1 / 2
1 / 2 = (1 × 2⁻¹) mod 7 = 4
=> E#I = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 4 | 0 | {
"H#I": 1,
"G#I": 1,
"J#P": 2,
"E#O": 2,
"E#I": 3
} | mod7_arith_d3_0028 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#K := 6. G#L := 2. K#P := 5 + E#O / H#K. K#N := E#O - G#L + E#J. E#O := 1. L#K := 1. E#J := L#K / G#L. J#O := L#K / 5. K#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#K := 6. G#L := 2. K#P := 5 + E#O / H#K. K#N := E#O - G#L + E#J. E#O := 1. L#K := 1. E#J := L#K / G#L. J#O := L#K / 5. | K#N | 3 | E#O = 1 -> E#O = 1
L#K = 1 -> L#K = 1
G#L = 2 -> G#L = 2
E#J = L#K / G#L
= 1 / 2
1 / 2 = (1 × 2⁻¹) mod 7 = 4
=> E#J = 4
K#N = E#O - G#L + E#J
= 1 - 2 + 4
1 - 2 = (1 - 2) mod 7 = 6
6 + 4 = (6 + 4) mod 7 = 3
=> K#N = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 5 | 0 | {
"E#O": 1,
"L#K": 1,
"H#K": 1,
"G#L": 1,
"E#J": 2,
"J#O": 2,
"K#P": 2,
"K#N": 3
} | mod7_arith_d3_0029 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#O := 6 + H#M * E#I. E#I := 2. G#M := H#M / E#I. J#K := 2 - G#M. H#M := 3. J#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#O := 6 + H#M * E#I. E#I := 2. G#M := H#M / E#I. J#K := 2 - G#M. H#M := 3. | J#K | 4 | H#M = 3 -> H#M = 3
E#I = 2 -> E#I = 2
G#M = H#M / E#I
= 3 / 2
3 / 2 = (3 × 2⁻¹) mod 7 = 5
=> G#M = 5
J#K = 2 - G#M
= 2 - 5
2 - 5 = (2 - 5) mod 7 = 4
=> J#K = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 4 | 0 | {
"H#M": 1,
"E#I": 1,
"L#O": 2,
"G#M": 2,
"J#K": 3
} | mod7_arith_d3_0030 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#O := 3. E#L := K#K. K#K := E#N * J#P. E#N := 2. K#M := 5. H#P := H#O + K#M - E#N. J#P := 4. E#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#O := 3. E#L := K#K. K#K := E#N * J#P. E#N := 2. K#M := 5. H#P := H#O + K#M - E#N. J#P := 4. | E#L | 1 | J#P = 4 -> J#P = 4
E#N = 2 -> E#N = 2
K#K = E#N * J#P
= 2 * 4
2 * 4 = (2 × 4) mod 7 = 1
=> K#K = 1
E#L = K#K = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"H#O": 1,
"J#P": 1,
"K#M": 1,
"E#N": 1,
"K#K": 2,
"H#P": 2,
"E#L": 3
} | mod7_arith_d3_0031 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#N := G#M. F#L := 5. G#M := L#L / F#L - 4. E#N := L#L. L#L := 2. G#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#N := G#M. F#L := 5. G#M := L#L / F#L - 4. E#N := L#L. L#L := 2. | G#N | 2 | L#L = 2 -> L#L = 2
F#L = 5 -> F#L = 5
G#M = L#L / F#L - 4
= 2 / 5 - 4
2 / 5 = (2 × 5⁻¹) mod 7 = 6
6 - 4 = (6 - 4) mod 7 = 2
=> G#M = 2
G#N = G#M = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 4 | 0 | {
"L#L": 1,
"F#L": 1,
"G#M": 2,
"E#N": 2,
"G#N": 3
} | mod7_arith_d3_0032 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#I := 4. G#M := H#J * 4. I#I := 5. H#J := I#I - F#I - 2. L#M := F#I + I#I. E#K := F#I. G#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#I := 4. G#M := H#J * 4. I#I := 5. H#J := I#I - F#I - 2. L#M := F#I + I#I. E#K := F#I. | G#M | 3 | F#I = 4 -> F#I = 4
I#I = 5 -> I#I = 5
H#J = I#I - F#I - 2
= 5 - 4 - 2
5 - 4 = (5 - 4) mod 7 = 1
1 - 2 = (1 - 2) mod 7 = 6
=> H#J = 6
G#M = H#J * 4
= 6 * 4
6 * 4 = (6 × 4) mod 7 = 3
=> G#M = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 4 | 0 | {
"F#I": 1,
"I#I": 1,
"E#K": 2,
"L#M": 2,
"H#J": 2,
"G#M": 3
} | mod7_arith_d3_0033 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#L := 5. G#J := 6. E#I := E#L + G#J. F#L := 1. H#N := F#P. F#P := 3 * F#L. H#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#L := 5. G#J := 6. E#I := E#L + G#J. F#L := 1. H#N := F#P. F#P := 3 * F#L. | H#N | 3 | F#L = 1 -> F#L = 1
F#P = 3 * F#L
= 3 * 1
3 * 1 = (3 × 1) mod 7 = 3
=> F#P = 3
H#N = F#P = 3 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 3 | 0 | {
"F#L": 1,
"E#L": 1,
"G#J": 1,
"E#I": 2,
"F#P": 2,
"H#N": 3
} | mod7_arith_d3_0034 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#J := 2. E#L := 6. F#I := E#L. K#N := I#K - F#I. I#K := F#P * K#J. F#P := 2. G#I := 3. E#M := 5 - K#J. K#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#J := 2. E#L := 6. F#I := E#L. K#N := I#K - F#I. I#K := F#P * K#J. F#P := 2. G#I := 3. E#M := 5 - K#J. | K#N | 5 | E#L = 6 -> E#L = 6
K#J = 2 -> K#J = 2
F#P = 2 -> F#P = 2
F#I = E#L = 6
I#K = F#P * K#J
= 2 * 2
2 * 2 = (2 × 2) mod 7 = 4
=> I#K = 4
K#N = I#K - F#I
= 4 - 6
4 - 6 = (4 - 6) mod 7 = 5
=> K#N = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 6 | 0 | {
"E#L": 1,
"K#J": 1,
"G#I": 1,
"F#P": 1,
"E#M": 2,
"F#I": 2,
"I#K": 2,
"K#N": 3
} | mod7_arith_d3_0035 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
K#K := 1. G#J := 6. I#J := H#N + G#J. J#L := I#J - 6 + K#K. I#M := K#K + G#J - H#N. H#N := 1. J#L? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | K#K := 1. G#J := 6. I#J := H#N + G#J. J#L := I#J - 6 + K#K. I#M := K#K + G#J - H#N. H#N := 1. | J#L | 2 | K#K = 1 -> K#K = 1
G#J = 6 -> G#J = 6
H#N = 1 -> H#N = 1
I#J = H#N + G#J
= 1 + 6
1 + 6 = (1 + 6) mod 7 = 0
=> I#J = 0
J#L = I#J - 6 + K#K
= 0 - 6 + 1
0 - 6 = (0 - 6) mod 7 = 1
1 + 1 = (1 + 1) mod 7 = 2
=> J#L = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 5 | 0 | {
"K#K": 1,
"G#J": 1,
"H#N": 1,
"I#J": 2,
"I#M": 2,
"J#L": 3
} | mod7_arith_d3_0036 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
J#L := 1. F#N := F#O / I#J. F#I := 5. I#J := J#L * F#I. F#O := F#I. F#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | J#L := 1. F#N := F#O / I#J. F#I := 5. I#J := J#L * F#I. F#O := F#I. | F#N | 1 | J#L = 1 -> J#L = 1
F#I = 5 -> F#I = 5
I#J = J#L * F#I
= 1 * 5
1 * 5 = (1 × 5) mod 7 = 5
=> I#J = 5
F#O = F#I = 5
F#N = F#O / I#J
= 5 / 5
5 / 5 = (5 × 5⁻¹) mod 7 = 1
=> F#N = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 5 | 0 | {
"J#L": 1,
"F#I": 1,
"I#J": 2,
"F#O": 2,
"F#N": 3
} | mod7_arith_d3_0037 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#P := J#K / K#K. J#M := 4. F#J := 3 + L#N. K#K := L#N * J#K. L#L := J#K. L#N := 4. J#K := 3. L#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#P := J#K / K#K. J#M := 4. F#J := 3 + L#N. K#K := L#N * J#K. L#L := J#K. L#N := 4. J#K := 3. | L#P | 2 | L#N = 4 -> L#N = 4
J#K = 3 -> J#K = 3
K#K = L#N * J#K
= 4 * 3
4 * 3 = (4 × 3) mod 7 = 5
=> K#K = 5
L#P = J#K / K#K
= 3 / 5
3 / 5 = (3 × 5⁻¹) mod 7 = 2
=> L#P = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"L#N": 1,
"J#M": 1,
"J#K": 1,
"K#K": 2,
"F#J": 2,
"L#L": 2,
"L#P": 3
} | mod7_arith_d3_0038 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
I#K := 5. F#I := I#N + 6. L#N := K#M / F#I + I#N. J#N := L#M + 2 - 6. I#N := 4. K#M := 4 - I#N. L#M := 6. G#K := 5. L#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | I#K := 5. F#I := I#N + 6. L#N := K#M / F#I + I#N. J#N := L#M + 2 - 6. I#N := 4. K#M := 4 - I#N. L#M := 6. G#K := 5. | L#N | 4 | I#N = 4 -> I#N = 4
F#I = I#N + 6
= 4 + 6
4 + 6 = (4 + 6) mod 7 = 3
=> F#I = 3
K#M = 4 - I#N
= 4 - 4
4 - 4 = (4 - 4) mod 7 = 0
=> K#M = 0
L#N = K#M / F#I + I#N
= 0 / 3 + 4
0 / 3 = (0 × 3⁻¹) mod 7 = 0
0 + 4 = (0 + 4) mod 7 = 4
=> L#N = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 4 | 0 | {
"G#K": 1,
"I#N": 1,
"I#K": 1,
"L#M": 1,
"F#I": 2,
"J#N": 2,
"K#M": 2,
"L#N": 3
} | mod7_arith_d3_0039 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#K := 6. G#O := G#N + G#K. G#N := 5. G#P := 2. J#P := K#P. K#N := 2. K#P := G#K * G#N. I#J := 5 * G#K. J#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#K := 6. G#O := G#N + G#K. G#N := 5. G#P := 2. J#P := K#P. K#N := 2. K#P := G#K * G#N. I#J := 5 * G#K. | J#P | 2 | G#N = 5 -> G#N = 5
G#K = 6 -> G#K = 6
K#P = G#K * G#N
= 6 * 5
6 * 5 = (6 × 5) mod 7 = 2
=> K#P = 2
J#P = K#P = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 8 | 4 | 0 | {
"K#N": 1,
"G#N": 1,
"G#K": 1,
"G#P": 1,
"G#O": 2,
"K#P": 2,
"I#J": 2,
"J#P": 3
} | mod7_arith_d3_0040 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
H#O := L#K + 3. G#J := 3. L#K := G#J * K#N. E#N := L#I. L#I := 4. K#N := 2. H#O? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | H#O := L#K + 3. G#J := 3. L#K := G#J * K#N. E#N := L#I. L#I := 4. K#N := 2. | H#O | 2 | K#N = 2 -> K#N = 2
G#J = 3 -> G#J = 3
L#K = G#J * K#N
= 3 * 2
3 * 2 = (3 × 2) mod 7 = 6
=> L#K = 6
H#O = L#K + 3
= 6 + 3
6 + 3 = (6 + 3) mod 7 = 2
=> H#O = 2 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 4 | 0 | {
"K#N": 1,
"G#J": 1,
"L#I": 1,
"L#K": 2,
"E#N": 2,
"H#O": 3
} | mod7_arith_d3_0041 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#O := E#L * F#K. E#L := 6. I#K := F#O - E#L. F#K := 4. E#I := F#K - E#L. I#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#O := E#L * F#K. E#L := 6. I#K := F#O - E#L. F#K := 4. E#I := F#K - E#L. | I#K | 4 | E#L = 6 -> E#L = 6
F#K = 4 -> F#K = 4
F#O = E#L * F#K
= 6 * 4
6 * 4 = (6 × 4) mod 7 = 3
=> F#O = 3
I#K = F#O - E#L
= 3 - 6
3 - 6 = (3 - 6) mod 7 = 4
=> I#K = 4 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 4 | 0 | {
"E#L": 1,
"F#K": 1,
"E#I": 2,
"F#O": 2,
"I#K": 3
} | mod7_arith_d3_0042 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
G#N := E#M / H#O. E#I := H#O / E#M. H#O := 3. E#M := 2. K#K := H#O + G#I. L#K := E#I. G#I := 4. L#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | G#N := E#M / H#O. E#I := H#O / E#M. H#O := 3. E#M := 2. K#K := H#O + G#I. L#K := E#I. G#I := 4. | L#K | 5 | E#M = 2 -> E#M = 2
H#O = 3 -> H#O = 3
E#I = H#O / E#M
= 3 / 2
3 / 2 = (3 × 2⁻¹) mod 7 = 5
=> E#I = 5
L#K = E#I = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 4 | 0 | {
"E#M": 1,
"H#O": 1,
"G#I": 1,
"G#N": 2,
"E#I": 2,
"K#K": 2,
"L#K": 3
} | mod7_arith_d3_0043 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#M := L#N - G#O / F#K. I#N := 1. F#K := 3. K#P := 1. L#N := 4. G#O := K#P + F#K / L#N. F#L := L#N + K#P / F#K. L#M? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#M := L#N - G#O / F#K. I#N := 1. F#K := 3. K#P := 1. L#N := 4. G#O := K#P + F#K / L#N. F#L := L#N + K#P / F#K. | L#M | 1 | K#P = 1 -> K#P = 1
L#N = 4 -> L#N = 4
F#K = 3 -> F#K = 3
G#O = K#P + F#K / L#N
= 1 + 3 / 4
1 + 3 = (1 + 3) mod 7 = 4
4 / 4 = (4 × 4⁻¹) mod 7 = 1
=> G#O = 1
L#M = L#N - G#O / F#K
= 4 - 1 / 3
4 - 1 = (4 - 1) mod 7 = 3
3 / 3 = (3 × 3⁻¹) mod 7 = 1
=> L#M = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 5 | 0 | {
"K#P": 1,
"I#N": 1,
"L#N": 1,
"F#K": 1,
"G#O": 2,
"F#L": 2,
"L#M": 3
} | mod7_arith_d3_0044 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
L#O := F#O / F#P. H#P := E#N - L#K. F#O := 6. F#P := 2. L#K := 4. E#N := F#P. H#P? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | L#O := F#O / F#P. H#P := E#N - L#K. F#O := 6. F#P := 2. L#K := 4. E#N := F#P. | H#P | 5 | F#P = 2 -> F#P = 2
L#K = 4 -> L#K = 4
E#N = F#P = 2
H#P = E#N - L#K
= 2 - 4
2 - 4 = (2 - 4) mod 7 = 5
=> H#P = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 6 | 4 | 0 | {
"F#P": 1,
"L#K": 1,
"F#O": 1,
"L#O": 2,
"E#N": 2,
"H#P": 3
} | mod7_arith_d3_0045 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
J#N := G#I + L#M. G#N := 4 - G#I. I#I := G#I. L#M := 4. I#J := 3 + I#I. I#K := 1. G#I := 5. I#J? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | J#N := G#I + L#M. G#N := 4 - G#I. I#I := G#I. L#M := 4. I#J := 3 + I#I. I#K := 1. G#I := 5. | I#J | 1 | G#I = 5 -> G#I = 5
I#I = G#I = 5
I#J = 3 + I#I
= 3 + 5
3 + 5 = (3 + 5) mod 7 = 1
=> I#J = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"G#I": 1,
"I#K": 1,
"L#M": 1,
"G#N": 2,
"J#N": 2,
"I#I": 2,
"I#J": 3
} | mod7_arith_d3_0046 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
F#J := 2. K#M := 2. I#M := K#M + F#J. E#L := F#J + K#M. G#K := K#M - E#L. G#K? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | F#J := 2. K#M := 2. I#M := K#M + F#J. E#L := F#J + K#M. G#K := K#M - E#L. | G#K | 5 | K#M = 2 -> K#M = 2
F#J = 2 -> F#J = 2
E#L = F#J + K#M
= 2 + 2
2 + 2 = (2 + 2) mod 7 = 4
=> E#L = 4
G#K = K#M - E#L
= 2 - 4
2 - 4 = (2 - 4) mod 7 = 5
=> G#K = 5 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 5 | 4 | 0 | {
"K#M": 1,
"F#J": 1,
"E#L": 2,
"I#M": 2,
"G#K": 3
} | mod7_arith_d3_0047 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
J#N := 5. E#O := I#K / J#N. L#N := J#N - H#I. H#I := J#N. I#K := 2. E#N := 3. I#L := J#N / I#K. L#N? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | J#N := 5. E#O := I#K / J#N. L#N := J#N - H#I. H#I := J#N. I#K := 2. E#N := 3. I#L := J#N / I#K. | L#N | 0 | J#N = 5 -> J#N = 5
H#I = J#N = 5
L#N = J#N - H#I
= 5 - 5
5 - 5 = (5 - 5) mod 7 = 0
=> L#N = 0 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 3 | 0 | {
"I#K": 1,
"J#N": 1,
"E#N": 1,
"I#L": 2,
"E#O": 2,
"H#I": 2,
"L#N": 3
} | mod7_arith_d3_0048 |
7 | arith | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0].
E#I := L#I + G#K / L#O. G#K := 4 - L#P. K#I := H#N * 4 + L#P. H#N := 1. L#P := 2. L#I := 1. L#O := 3. E#I? | Operator definitions (evaluate strictly left to right, all results mod 7): a + b = (a + b) mod 7 a - b = (a - b) mod 7 a * b = (a × b) mod 7 a / b = (a × b⁻¹) mod 7 [b≠0]. | E#I := L#I + G#K / L#O. G#K := 4 - L#P. K#I := H#N * 4 + L#P. H#N := 1. L#P := 2. L#I := 1. L#O := 3. | E#I | 1 | L#O = 3 -> L#O = 3
L#I = 1 -> L#I = 1
L#P = 2 -> L#P = 2
G#K = 4 - L#P
= 4 - 2
4 - 2 = (4 - 2) mod 7 = 2
=> G#K = 2
E#I = L#I + G#K / L#O
= 1 + 2 / 3
1 + 2 = (1 + 2) mod 7 = 3
3 / 3 = (3 × 3⁻¹) mod 7 = 1
=> E#I = 1 | [
{
"glyph": "+",
"kind": "add",
"params": {},
"definition": "a + b = (a + b) mod 7"
},
{
"glyph": "-",
"kind": "sub",
"params": {},
"definition": "a - b = (a - b) mod 7"
},
{
"glyph": "*",
"kind": "mul",
"params": {},
"definition": "a * b = (a × b) mod 7"
},
... | 3 | 3 | 7 | 5 | 0 | {
"L#O": 1,
"L#I": 1,
"H#N": 1,
"L#P": 1,
"G#K": 2,
"K#I": 2,
"E#I": 3
} | mod7_arith_d3_0049 |
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