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#L := G#J * 4 + G#N. G#J := 1. E#N := G#N / G#J. G#N := 6. J#M := 4 - E#N. 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]. | K#L := G#J * 4 + G#N. G#J := 1. E#N := G#N / G#J. G#N := 6. J#M := 4 - E#N. | J#M | 5 | G#J = 1 -> G#J = 1
G#N = 6 -> G#N = 6
E#N = G#N / G#J
= 6 / 1
6 / 1 = (6 × 1⁻¹) mod 7 = 6
=> E#N = 6
J#M = 4 - E#N
= 4 - 6
4 - 6 = (4 - 6) mod 7 = 5
=> J#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"
},
... | 3 | 3 | 5 | 4 | 0 | {
"G#J": 1,
"G#N": 1,
"K#L": 2,
"E#N": 2,
"J#M": 3
} | mod7_arith_d3_0150 |
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 := K#L. G#J := 2. K#M := 1. G#L := K#M. K#L := 2. K#K := K#M - K#L - G#L. 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]. | G#K := K#L. G#J := 2. K#M := 1. G#L := K#M. K#L := 2. K#K := K#M - K#L - G#L. | K#K | 5 | K#M = 1 -> K#M = 1
K#L = 2 -> K#L = 2
G#L = K#M = 1
K#K = K#M - K#L - G#L
= 1 - 2 - 1
1 - 2 = (1 - 2) mod 7 = 6
6 - 1 = (6 - 1) mod 7 = 5
=> K#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 | 6 | 4 | 0 | {
"K#M": 1,
"K#L": 1,
"G#J": 1,
"G#L": 2,
"G#K": 2,
"K#K": 3
} | mod7_arith_d3_0151 |
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. G#P := 5. L#J := F#L / G#P. H#L := K#K / F#M * 4. F#M := 6. E#O := H#L. K#K := 4. 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]. | F#L := 5. G#P := 5. L#J := F#L / G#P. H#L := K#K / F#M * 4. F#M := 6. E#O := H#L. K#K := 4. | E#O | 5 | F#M = 6 -> F#M = 6
K#K = 4 -> K#K = 4
H#L = K#K / F#M * 4
= 4 / 6 * 4
4 / 6 = (4 × 6⁻¹) mod 7 = 3
3 * 4 = (3 × 4) mod 7 = 5
=> H#L = 5
E#O = H#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"
},
... | 3 | 3 | 7 | 4 | 0 | {
"F#M": 1,
"F#L": 1,
"K#K": 1,
"G#P": 1,
"H#L": 2,
"L#J": 2,
"E#O": 3
} | mod7_arith_d3_0152 |
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#L := 3. F#N := G#P. F#M := G#L. G#J := 4. J#L := 1. G#P := J#L + 4 + G#L. K#I := 5. 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]. | G#L := 3. F#N := G#P. F#M := G#L. G#J := 4. J#L := 1. G#P := J#L + 4 + G#L. K#I := 5. | F#N | 1 | G#L = 3 -> G#L = 3
J#L = 1 -> J#L = 1
G#P = J#L + 4 + G#L
= 1 + 4 + 3
1 + 4 = (1 + 4) mod 7 = 5
5 + 3 = (5 + 3) mod 7 = 1
=> G#P = 1
F#N = G#P = 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 | {
"G#J": 1,
"G#L": 1,
"K#I": 1,
"J#L": 1,
"F#M": 2,
"G#P": 2,
"F#N": 3
} | mod7_arith_d3_0153 |
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#M := 2. J#P := I#N + F#M. H#N := F#M. E#I := H#N + J#P. I#N := 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]. | F#M := 2. J#P := I#N + F#M. H#N := F#M. E#I := H#N + J#P. I#N := 5. | E#I | 2 | I#N = 5 -> I#N = 5
F#M = 2 -> F#M = 2
H#N = F#M = 2
J#P = I#N + F#M
= 5 + 2
5 + 2 = (5 + 2) mod 7 = 0
=> J#P = 0
E#I = H#N + J#P
= 2 + 0
2 + 0 = (2 + 0) 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 | 5 | 5 | 0 | {
"I#N": 1,
"F#M": 1,
"H#N": 2,
"J#P": 2,
"E#I": 3
} | mod7_arith_d3_0154 |
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 := H#M. H#I := G#N. F#N := 6. L#K := 1. H#M := L#K * F#N. G#N := 3. 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]. | H#J := H#M. H#I := G#N. F#N := 6. L#K := 1. H#M := L#K * F#N. G#N := 3. | H#J | 6 | F#N = 6 -> F#N = 6
L#K = 1 -> L#K = 1
H#M = L#K * F#N
= 1 * 6
1 * 6 = (1 × 6) mod 7 = 6
=> H#M = 6
H#J = H#M = 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 | {
"F#N": 1,
"G#N": 1,
"L#K": 1,
"H#M": 2,
"H#I": 2,
"H#J": 3
} | mod7_arith_d3_0155 |
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 := 5. K#O := 6. G#N := 5. K#J := G#N * 2 + E#M. G#K := G#N - K#O. G#M := G#K - K#O / J#K. J#K := G#N - E#M - K#O. 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]. | E#M := 5. K#O := 6. G#N := 5. K#J := G#N * 2 + E#M. G#K := G#N - K#O. G#M := G#K - K#O / J#K. J#K := G#N - E#M - K#O. | G#M | 0 | G#N = 5 -> G#N = 5
K#O = 6 -> K#O = 6
E#M = 5 -> E#M = 5
J#K = G#N - E#M - K#O
= 5 - 5 - 6
5 - 5 = (5 - 5) mod 7 = 0
0 - 6 = (0 - 6) mod 7 = 1
=> J#K = 1
G#K = G#N - K#O
= 5 - 6
5 - 6 = (5 - 6) mod 7 = 6
=> G#K = 6
G#M = G#K - K#O / J#K
= 6 - 6 / 1
6 - 6 = (6 - 6) mod 7 = 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 | {
"G#N": 1,
"K#O": 1,
"E#M": 1,
"K#J": 2,
"J#K": 2,
"G#K": 2,
"G#M": 3
} | mod7_arith_d3_0156 |
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#P := I#K. H#J := I#K + H#L. I#K := 5. H#L := 3. K#I := 6. H#N := K#I * K#P + H#J. 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]. | K#P := I#K. H#J := I#K + H#L. I#K := 5. H#L := 3. K#I := 6. H#N := K#I * K#P + H#J. | H#N | 3 | K#I = 6 -> K#I = 6
H#L = 3 -> H#L = 3
I#K = 5 -> I#K = 5
H#J = I#K + H#L
= 5 + 3
5 + 3 = (5 + 3) mod 7 = 1
=> H#J = 1
K#P = I#K = 5
H#N = K#I * K#P + H#J
= 6 * 5 + 1
6 * 5 = (6 × 5) mod 7 = 2
2 + 1 = (2 + 1) mod 7 = 3
=> H#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 | 6 | 6 | 0 | {
"K#I": 1,
"H#L": 1,
"I#K": 1,
"H#J": 2,
"K#P": 2,
"H#N": 3
} | mod7_arith_d3_0157 |
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#P := E#N / K#K. H#K := E#J * E#N. E#J := 6. K#K := E#J + 4. E#N := 3. K#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#P := E#N / K#K. H#K := E#J * E#N. E#J := 6. K#K := E#J + 4. E#N := 3. | K#P | 1 | E#J = 6 -> E#J = 6
E#N = 3 -> E#N = 3
K#K = E#J + 4
= 6 + 4
6 + 4 = (6 + 4) mod 7 = 3
=> K#K = 3
K#P = E#N / K#K
= 3 / 3
3 / 3 = (3 × 3⁻¹) mod 7 = 1
=> K#P = 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 | {
"E#J": 1,
"E#N": 1,
"H#K": 2,
"K#K": 2,
"K#P": 3
} | mod7_arith_d3_0158 |
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 := J#P. G#J := F#L / 6. I#P := 2. H#N := I#P + J#P. E#P := J#P. J#P := 3. 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]. | F#L := J#P. G#J := F#L / 6. I#P := 2. H#N := I#P + J#P. E#P := J#P. J#P := 3. | G#J | 4 | J#P = 3 -> J#P = 3
F#L = J#P = 3
G#J = F#L / 6
= 3 / 6
3 / 6 = (3 × 6⁻¹) mod 7 = 4
=> G#J = 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 | 3 | 0 | {
"I#P": 1,
"J#P": 1,
"E#P": 2,
"H#N": 2,
"F#L": 2,
"G#J": 3
} | mod7_arith_d3_0159 |
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 := 2 - I#I. K#L := 5. I#I := J#P * 5. H#L := K#L. J#I := 5. H#N := 2. J#P := 6. L#N := J#I * H#N. 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]. | G#M := 2 - I#I. K#L := 5. I#I := J#P * 5. H#L := K#L. J#I := 5. H#N := 2. J#P := 6. L#N := J#I * H#N. | G#M | 0 | J#P = 6 -> J#P = 6
I#I = J#P * 5
= 6 * 5
6 * 5 = (6 × 5) mod 7 = 2
=> I#I = 2
G#M = 2 - I#I
= 2 - 2
2 - 2 = (2 - 2) mod 7 = 0
=> G#M = 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 | 3 | 0 | {
"K#L": 1,
"J#I": 1,
"J#P": 1,
"H#N": 1,
"H#L": 2,
"I#I": 2,
"L#N": 2,
"G#M": 3
} | mod7_arith_d3_0160 |
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 := K#N * H#J. K#K := 6. K#N := 6. H#I := 2. G#M := H#K / K#N. F#O := H#I * K#K. H#J := 3. 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]. | H#K := K#N * H#J. K#K := 6. K#N := 6. H#I := 2. G#M := H#K / K#N. F#O := H#I * K#K. H#J := 3. | G#M | 3 | H#J = 3 -> H#J = 3
K#N = 6 -> K#N = 6
H#K = K#N * H#J
= 6 * 3
6 * 3 = (6 × 3) mod 7 = 4
=> H#K = 4
G#M = H#K / K#N
= 4 / 6
4 / 6 = (4 × 6⁻¹) 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 | 7 | 4 | 0 | {
"H#J": 1,
"K#K": 1,
"H#I": 1,
"K#N": 1,
"F#O": 2,
"H#K": 2,
"G#M": 3
} | mod7_arith_d3_0161 |
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 := 3 - H#P * J#J. K#K := F#N + 3. H#P := 1. J#J := 2. I#J := H#P + J#J. 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]. | F#N := 3 - H#P * J#J. K#K := F#N + 3. H#P := 1. J#J := 2. I#J := H#P + J#J. | K#K | 0 | J#J = 2 -> J#J = 2
H#P = 1 -> H#P = 1
F#N = 3 - H#P * J#J
= 3 - 1 * 2
3 - 1 = (3 - 1) mod 7 = 2
2 * 2 = (2 × 2) mod 7 = 4
=> F#N = 4
K#K = F#N + 3
= 4 + 3
4 + 3 = (4 + 3) mod 7 = 0
=> K#K = 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 | 4 | 0 | {
"J#J": 1,
"H#P": 1,
"I#J": 2,
"F#N": 2,
"K#K": 3
} | mod7_arith_d3_0162 |
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 := 2. I#M := L#P / J#N. G#O := L#P + J#N. L#M := 3 + 4 - I#M. H#K := L#P. L#P := 3. 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]. | J#N := 2. I#M := L#P / J#N. G#O := L#P + J#N. L#M := 3 + 4 - I#M. H#K := L#P. L#P := 3. | L#M | 2 | J#N = 2 -> J#N = 2
L#P = 3 -> L#P = 3
I#M = L#P / J#N
= 3 / 2
3 / 2 = (3 × 2⁻¹) mod 7 = 5
=> I#M = 5
L#M = 3 + 4 - I#M
= 3 + 4 - 5
3 + 4 = (3 + 4) mod 7 = 0
0 - 5 = (0 - 5) mod 7 = 2
=> L#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 | 6 | 4 | 0 | {
"J#N": 1,
"L#P": 1,
"I#M": 2,
"H#K": 2,
"G#O": 2,
"L#M": 3
} | mod7_arith_d3_0163 |
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 := 2. L#K := L#N * L#P. F#O := 4. L#N := 5. L#L := 4 + F#O. J#K := L#L * E#O. E#O := 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#P := 2. L#K := L#N * L#P. F#O := 4. L#N := 5. L#L := 4 + F#O. J#K := L#L * E#O. E#O := 3. | J#K | 3 | E#O = 3 -> E#O = 3
F#O = 4 -> F#O = 4
L#L = 4 + F#O
= 4 + 4
4 + 4 = (4 + 4) mod 7 = 1
=> L#L = 1
J#K = L#L * E#O
= 1 * 3
1 * 3 = (1 × 3) 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 | 7 | 4 | 0 | {
"L#N": 1,
"E#O": 1,
"F#O": 1,
"L#P": 1,
"L#L": 2,
"L#K": 2,
"J#K": 3
} | mod7_arith_d3_0164 |
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#P := 3. K#I := 6. G#N := 2. G#L := E#N. E#N := K#I / J#P. K#P := J#P + G#N. H#O := 1. H#J := G#N - 5. G#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]. | J#P := 3. K#I := 6. G#N := 2. G#L := E#N. E#N := K#I / J#P. K#P := J#P + G#N. H#O := 1. H#J := G#N - 5. | G#L | 2 | J#P = 3 -> J#P = 3
K#I = 6 -> K#I = 6
E#N = K#I / J#P
= 6 / 3
6 / 3 = (6 × 3⁻¹) mod 7 = 2
=> E#N = 2
G#L = E#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"
},
... | 3 | 3 | 8 | 4 | 0 | {
"G#N": 1,
"H#O": 1,
"J#P": 1,
"K#I": 1,
"K#P": 2,
"E#N": 2,
"H#J": 2,
"G#L": 3
} | mod7_arith_d3_0165 |
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 := 1. K#I := 2. F#N := K#I. J#P := 1. F#P := K#I - L#O. E#P := 3. F#I := L#O - F#P. F#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]. | L#O := 1. K#I := 2. F#N := K#I. J#P := 1. F#P := K#I - L#O. E#P := 3. F#I := L#O - F#P. | F#I | 0 | L#O = 1 -> L#O = 1
K#I = 2 -> K#I = 2
F#P = K#I - L#O
= 2 - 1
2 - 1 = (2 - 1) mod 7 = 1
=> F#P = 1
F#I = L#O - F#P
= 1 - 1
1 - 1 = (1 - 1) mod 7 = 0
=> F#I = 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 | 4 | 0 | {
"J#P": 1,
"E#P": 1,
"L#O": 1,
"K#I": 1,
"F#P": 2,
"F#N": 2,
"F#I": 3
} | mod7_arith_d3_0166 |
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 := 3. H#L := 6 * H#P. H#P := E#M. F#K := 2 + I#K / E#M. E#M := 4. H#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]. | I#K := 3. H#L := 6 * H#P. H#P := E#M. F#K := 2 + I#K / E#M. E#M := 4. | H#L | 3 | E#M = 4 -> E#M = 4
H#P = E#M = 4
H#L = 6 * H#P
= 6 * 4
6 * 4 = (6 × 4) mod 7 = 3
=> H#L = 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 | {
"I#K": 1,
"E#M": 1,
"F#K": 2,
"H#P": 2,
"H#L": 3
} | mod7_arith_d3_0167 |
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#P := G#N + I#O. F#M := G#P - 3. G#N := 5. I#O := 5. F#L := 5 - G#N. F#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]. | G#P := G#N + I#O. F#M := G#P - 3. G#N := 5. I#O := 5. F#L := 5 - G#N. | F#M | 0 | I#O = 5 -> I#O = 5
G#N = 5 -> G#N = 5
G#P = G#N + I#O
= 5 + 5
5 + 5 = (5 + 5) mod 7 = 3
=> G#P = 3
F#M = G#P - 3
= 3 - 3
3 - 3 = (3 - 3) mod 7 = 0
=> F#M = 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 | 4 | 0 | {
"I#O": 1,
"G#N": 1,
"F#L": 2,
"G#P": 2,
"F#M": 3
} | mod7_arith_d3_0168 |
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 := K#N / 3 - E#P. E#P := 3. K#N := 3. J#N := 2. L#L := K#N / E#P / J#N. F#K := F#I. H#I := J#N + 4. F#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#I := K#N / 3 - E#P. E#P := 3. K#N := 3. J#N := 2. L#L := K#N / E#P / J#N. F#K := F#I. H#I := J#N + 4. | F#K | 5 | E#P = 3 -> E#P = 3
K#N = 3 -> K#N = 3
F#I = K#N / 3 - E#P
= 3 / 3 - 3
3 / 3 = (3 × 3⁻¹) mod 7 = 1
1 - 3 = (1 - 3) mod 7 = 5
=> F#I = 5
F#K = F#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#P": 1,
"J#N": 1,
"K#N": 1,
"F#I": 2,
"H#I": 2,
"L#L": 2,
"F#K": 3
} | mod7_arith_d3_0169 |
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#O := L#K * 6 - I#N. L#K := 5. I#P := I#N * 5. H#I := L#K / I#N. I#N := 5. F#J := 6. H#J := I#P * I#O + H#I. 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]. | I#O := L#K * 6 - I#N. L#K := 5. I#P := I#N * 5. H#I := L#K / I#N. I#N := 5. F#J := 6. H#J := I#P * I#O + H#I. | H#J | 3 | I#N = 5 -> I#N = 5
L#K = 5 -> L#K = 5
H#I = L#K / I#N
= 5 / 5
5 / 5 = (5 × 5⁻¹) mod 7 = 1
=> H#I = 1
I#P = I#N * 5
= 5 * 5
5 * 5 = (5 × 5) mod 7 = 4
=> I#P = 4
I#O = L#K * 6 - I#N
= 5 * 6 - 5
5 * 6 = (5 × 6) mod 7 = 2
2 - 5 = (2 - 5) mod 7 = 4
=> I#O = 4
H#J = I#P * I#O + H#I... | [
{
"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#J": 1,
"I#N": 1,
"L#K": 1,
"H#I": 2,
"I#P": 2,
"I#O": 2,
"H#J": 3
} | mod7_arith_d3_0170 |
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 := L#K - K#K / F#P. K#K := 6. H#K := L#J + K#K. L#J := F#P * L#K. F#P := 1. L#I := 1. L#K := 4. 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]. | G#J := L#K - K#K / F#P. K#K := 6. H#K := L#J + K#K. L#J := F#P * L#K. F#P := 1. L#I := 1. L#K := 4. | H#K | 3 | F#P = 1 -> F#P = 1
K#K = 6 -> K#K = 6
L#K = 4 -> L#K = 4
L#J = F#P * L#K
= 1 * 4
1 * 4 = (1 × 4) mod 7 = 4
=> L#J = 4
H#K = L#J + K#K
= 4 + 6
4 + 6 = (4 + 6) mod 7 = 3
=> H#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 | 7 | 5 | 0 | {
"F#P": 1,
"L#I": 1,
"K#K": 1,
"L#K": 1,
"G#J": 2,
"L#J": 2,
"H#K": 3
} | mod7_arith_d3_0171 |
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 := 5. J#P := F#P - L#M. F#O := 5 - K#N. F#P := K#N. E#I := 4 * K#N. K#N := 6. 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#M := 5. J#P := F#P - L#M. F#O := 5 - K#N. F#P := K#N. E#I := 4 * K#N. K#N := 6. | J#P | 1 | L#M = 5 -> L#M = 5
K#N = 6 -> K#N = 6
F#P = K#N = 6
J#P = F#P - L#M
= 6 - 5
6 - 5 = (6 - 5) mod 7 = 1
=> J#P = 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 | 4 | 0 | {
"L#M": 1,
"K#N": 1,
"F#P": 2,
"F#O": 2,
"E#I": 2,
"J#P": 3
} | mod7_arith_d3_0172 |
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. F#P := K#P / E#L. K#I := K#M + 5. K#P := 6. K#M := K#P + E#L. 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]. | E#L := 5. F#P := K#P / E#L. K#I := K#M + 5. K#P := 6. K#M := K#P + E#L. | K#I | 2 | E#L = 5 -> E#L = 5
K#P = 6 -> K#P = 6
K#M = K#P + E#L
= 6 + 5
6 + 5 = (6 + 5) mod 7 = 4
=> K#M = 4
K#I = K#M + 5
= 4 + 5
4 + 5 = (4 + 5) mod 7 = 2
=> K#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 | 5 | 4 | 0 | {
"E#L": 1,
"K#P": 1,
"K#M": 2,
"F#P": 2,
"K#I": 3
} | mod7_arith_d3_0173 |
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 := F#O * I#N. G#L := E#O / E#K - 2. I#J := 4. E#O := F#O - I#J. K#K := 2. F#O := 1. I#N := 5. G#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#K := F#O * I#N. G#L := E#O / E#K - 2. I#J := 4. E#O := F#O - I#J. K#K := 2. F#O := 1. I#N := 5. | G#L | 3 | I#N = 5 -> I#N = 5
I#J = 4 -> I#J = 4
F#O = 1 -> F#O = 1
E#K = F#O * I#N
= 1 * 5
1 * 5 = (1 × 5) mod 7 = 5
=> E#K = 5
E#O = F#O - I#J
= 1 - 4
1 - 4 = (1 - 4) mod 7 = 4
=> E#O = 4
G#L = E#O / E#K - 2
= 4 / 5 - 2
4 / 5 = (4 × 5⁻¹) mod 7 = 5
5 - 2 = (5 - 2) mod 7 = 3
=> G#L = ... | [
{
"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 | {
"I#N": 1,
"I#J": 1,
"K#K": 1,
"F#O": 1,
"E#K": 2,
"E#O": 2,
"G#L": 3
} | mod7_arith_d3_0174 |
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 := 6. I#O := 6. E#N := J#I. J#N := 5. I#K := F#P / 4 - I#O. H#M := E#N + I#K. J#I := 3. I#L := F#P * J#N + J#I. 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]. | F#P := 6. I#O := 6. E#N := J#I. J#N := 5. I#K := F#P / 4 - I#O. H#M := E#N + I#K. J#I := 3. I#L := F#P * J#N + J#I. | H#M | 2 | I#O = 6 -> I#O = 6
J#I = 3 -> J#I = 3
F#P = 6 -> F#P = 6
I#K = F#P / 4 - I#O
= 6 / 4 - 6
6 / 4 = (6 × 4⁻¹) mod 7 = 5
5 - 6 = (5 - 6) mod 7 = 6
=> I#K = 6
E#N = J#I = 3
H#M = E#N + I#K
= 3 + 6
3 + 6 = (3 + 6) 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"
},
... | 3 | 3 | 8 | 6 | 0 | {
"I#O": 1,
"J#I": 1,
"J#N": 1,
"F#P": 1,
"I#K": 2,
"E#N": 2,
"I#L": 2,
"H#M": 3
} | mod7_arith_d3_0175 |
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 := G#O / F#L. I#J := F#L + G#O. E#P := F#L - G#O. J#J := I#J / K#M. G#O := 5. F#L := 3. 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]. | K#M := G#O / F#L. I#J := F#L + G#O. E#P := F#L - G#O. J#J := I#J / K#M. G#O := 5. F#L := 3. | J#J | 2 | F#L = 3 -> F#L = 3
G#O = 5 -> G#O = 5
K#M = G#O / F#L
= 5 / 3
5 / 3 = (5 × 3⁻¹) mod 7 = 4
=> K#M = 4
I#J = F#L + G#O
= 3 + 5
3 + 5 = (3 + 5) mod 7 = 1
=> I#J = 1
J#J = I#J / K#M
= 1 / 4
1 / 4 = (1 × 4⁻¹) 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"
},
... | 3 | 3 | 6 | 5 | 0 | {
"F#L": 1,
"G#O": 1,
"K#M": 2,
"I#J": 2,
"E#P": 2,
"J#J": 3
} | mod7_arith_d3_0176 |
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 := F#O. K#P := 2. E#J := K#P. F#O := K#P. L#I := 5. G#I := 2. 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]. | K#I := F#O. K#P := 2. E#J := K#P. F#O := K#P. L#I := 5. G#I := 2. | K#I | 2 | K#P = 2 -> K#P = 2
F#O = K#P = 2
K#I = F#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 | 3 | 0 | {
"K#P": 1,
"G#I": 1,
"L#I": 1,
"F#O": 2,
"E#J": 2,
"K#I": 3
} | mod7_arith_d3_0177 |
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 := J#K - I#N. J#K := 1. F#K := J#N. J#N := J#K / I#N. I#N := 3. F#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 := J#K - I#N. J#K := 1. F#K := J#N. J#N := J#K / I#N. I#N := 3. | F#K | 5 | I#N = 3 -> I#N = 3
J#K = 1 -> J#K = 1
J#N = J#K / I#N
= 1 / 3
1 / 3 = (1 × 3⁻¹) mod 7 = 5
=> J#N = 5
F#K = J#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 | 5 | 4 | 0 | {
"I#N": 1,
"J#K": 1,
"E#K": 2,
"J#N": 2,
"F#K": 3
} | mod7_arith_d3_0178 |
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 := 1. I#L := E#O + H#N. J#J := 4 / H#N. F#J := I#L + 2 / 5. H#L := 1. E#O := 1. I#M := 1. 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]. | H#N := 1. I#L := E#O + H#N. J#J := 4 / H#N. F#J := I#L + 2 / 5. H#L := 1. E#O := 1. I#M := 1. | F#J | 5 | E#O = 1 -> E#O = 1
H#N = 1 -> H#N = 1
I#L = E#O + H#N
= 1 + 1
1 + 1 = (1 + 1) mod 7 = 2
=> I#L = 2
F#J = I#L + 2 / 5
= 2 + 2 / 5
2 + 2 = (2 + 2) mod 7 = 4
4 / 5 = (4 × 5⁻¹) mod 7 = 5
=> F#J = 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 | {
"I#M": 1,
"E#O": 1,
"H#N": 1,
"H#L": 1,
"I#L": 2,
"J#J": 2,
"F#J": 3
} | mod7_arith_d3_0179 |
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 := 5. G#J := 3 + H#I. I#M := I#N * I#K + L#M. I#K := 5. L#M := 5. I#N := 6 + I#K. K#I := I#K. I#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#I := 5. G#J := 3 + H#I. I#M := I#N * I#K + L#M. I#K := 5. L#M := 5. I#N := 6 + I#K. K#I := I#K. | I#M | 4 | L#M = 5 -> L#M = 5
I#K = 5 -> I#K = 5
I#N = 6 + I#K
= 6 + 5
6 + 5 = (6 + 5) mod 7 = 4
=> I#N = 4
I#M = I#N * I#K + L#M
= 4 * 5 + 5
4 * 5 = (4 × 5) mod 7 = 6
6 + 5 = (6 + 5) mod 7 = 4
=> 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"
},
... | 3 | 3 | 7 | 4 | 0 | {
"L#M": 1,
"H#I": 1,
"I#K": 1,
"K#I": 2,
"I#N": 2,
"G#J": 2,
"I#M": 3
} | mod7_arith_d3_0180 |
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 := G#O + L#M. L#J := G#O - 6 / L#M. E#O := 3. G#O := 1. L#M := 6. E#I := G#O. L#K := E#I. 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]. | J#L := G#O + L#M. L#J := G#O - 6 / L#M. E#O := 3. G#O := 1. L#M := 6. E#I := G#O. L#K := E#I. | L#K | 1 | G#O = 1 -> G#O = 1
E#I = G#O = 1
L#K = 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 | 3 | 0 | {
"G#O": 1,
"L#M": 1,
"E#O": 1,
"E#I": 2,
"J#L": 2,
"L#J": 2,
"L#K": 3
} | mod7_arith_d3_0181 |
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 := G#L + I#J. I#J := E#N / K#P + 3. E#N := 5. G#L := L#M * 3 * K#P. L#M := 2. K#P := 2. 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 := G#L + I#J. I#J := E#N / K#P + 3. E#N := 5. G#L := L#M * 3 * K#P. L#M := 2. K#P := 2. | K#M | 0 | E#N = 5 -> E#N = 5
L#M = 2 -> L#M = 2
K#P = 2 -> K#P = 2
I#J = E#N / K#P + 3
= 5 / 2 + 3
5 / 2 = (5 × 2⁻¹) mod 7 = 6
6 + 3 = (6 + 3) mod 7 = 2
=> I#J = 2
G#L = L#M * 3 * K#P
= 2 * 3 * 2
2 * 3 = (2 × 3) mod 7 = 6
6 * 2 = (6 × 2) mod 7 = 5
=> G#L = 5
K#M = G#L + I#J
= 5 + 2
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 | 6 | 0 | {
"E#N": 1,
"L#M": 1,
"K#P": 1,
"I#J": 2,
"G#L": 2,
"K#M": 3
} | mod7_arith_d3_0182 |
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 := I#J. L#P := F#J + E#N. K#M := F#J - 6 + J#M. F#J := 6. I#J := 3. E#N := 2. J#I := 4. I#I := J#I - E#N / 4. 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]. | J#M := I#J. L#P := F#J + E#N. K#M := F#J - 6 + J#M. F#J := 6. I#J := 3. E#N := 2. J#I := 4. I#I := J#I - E#N / 4. | K#M | 3 | F#J = 6 -> F#J = 6
I#J = 3 -> I#J = 3
J#M = I#J = 3
K#M = F#J - 6 + J#M
= 6 - 6 + 3
6 - 6 = (6 - 6) mod 7 = 0
0 + 3 = (0 + 3) mod 7 = 3
=> K#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 | 8 | 4 | 0 | {
"J#I": 1,
"F#J": 1,
"I#J": 1,
"E#N": 1,
"J#M": 2,
"L#P": 2,
"I#I": 2,
"K#M": 3
} | mod7_arith_d3_0183 |
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 := 6 / H#I. E#N := 5. I#M := 5. H#I := I#M + 6 / E#N. L#I := 2. H#P := E#N * L#I - I#M. 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]. | E#J := 6 / H#I. E#N := 5. I#M := 5. H#I := I#M + 6 / E#N. L#I := 2. H#P := E#N * L#I - I#M. | E#J | 4 | I#M = 5 -> I#M = 5
E#N = 5 -> E#N = 5
H#I = I#M + 6 / E#N
= 5 + 6 / 5
5 + 6 = (5 + 6) mod 7 = 4
4 / 5 = (4 × 5⁻¹) mod 7 = 5
=> H#I = 5
E#J = 6 / H#I
= 6 / 5
6 / 5 = (6 × 5⁻¹) mod 7 = 4
=> E#J = 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 | 4 | 0 | {
"L#I": 1,
"I#M": 1,
"E#N": 1,
"H#I": 2,
"H#P": 2,
"E#J": 3
} | mod7_arith_d3_0184 |
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#L := 2. J#L := 4. F#O := G#L + J#L * 4. E#P := 1. J#I := 1. E#J := J#L / 5 * E#P. F#J := F#O + E#J. 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]. | G#L := 2. J#L := 4. F#O := G#L + J#L * 4. E#P := 1. J#I := 1. E#J := J#L / 5 * E#P. F#J := F#O + E#J. | F#J | 1 | G#L = 2 -> G#L = 2
E#P = 1 -> E#P = 1
J#L = 4 -> J#L = 4
F#O = G#L + J#L * 4
= 2 + 4 * 4
2 + 4 = (2 + 4) mod 7 = 6
6 * 4 = (6 × 4) mod 7 = 3
=> F#O = 3
E#J = J#L / 5 * E#P
= 4 / 5 * 1
4 / 5 = (4 × 5⁻¹) mod 7 = 5
5 * 1 = (5 × 1) mod 7 = 5
=> E#J = 5
F#J = F#O + E#J
= 3 + 5
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 | 6 | 0 | {
"G#L": 1,
"E#P": 1,
"J#L": 1,
"J#I": 1,
"F#O": 2,
"E#J": 2,
"F#J": 3
} | mod7_arith_d3_0185 |
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. F#J := E#I + J#P. E#I := E#N. J#P := G#J. G#J := 5. E#J := G#J + 4. 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#N := 2. F#J := E#I + J#P. E#I := E#N. J#P := G#J. G#J := 5. E#J := G#J + 4. | F#J | 0 | E#N = 2 -> E#N = 2
G#J = 5 -> G#J = 5
J#P = G#J = 5
E#I = E#N = 2
F#J = E#I + J#P
= 2 + 5
2 + 5 = (2 + 5) mod 7 = 0
=> F#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 | 6 | 5 | 0 | {
"E#N": 1,
"G#J": 1,
"J#P": 2,
"E#J": 2,
"E#I": 2,
"F#J": 3
} | mod7_arith_d3_0186 |
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 := L#N + 3. I#N := 1. H#I := L#N / I#N / 3. J#K := 6. G#P := H#I / 5 + F#J. L#N := 3. E#K := I#N. 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]. | F#J := L#N + 3. I#N := 1. H#I := L#N / I#N / 3. J#K := 6. G#P := H#I / 5 + F#J. L#N := 3. E#K := I#N. | G#P | 2 | I#N = 1 -> I#N = 1
L#N = 3 -> L#N = 3
F#J = L#N + 3
= 3 + 3
3 + 3 = (3 + 3) mod 7 = 6
=> F#J = 6
H#I = L#N / I#N / 3
= 3 / 1 / 3
3 / 1 = (3 × 1⁻¹) mod 7 = 3
3 / 3 = (3 × 3⁻¹) mod 7 = 1
=> H#I = 1
G#P = H#I / 5 + F#J
= 1 / 5 + 6
1 / 5 = (1 × 5⁻¹) mod 7 = 3
3 + 6 = (3 + 6) mod ... | [
{
"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#N": 1,
"L#N": 1,
"J#K": 1,
"E#K": 2,
"F#J": 2,
"H#I": 2,
"G#P": 3
} | mod7_arith_d3_0187 |
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. I#I := 3. E#N := E#O / G#N. E#O := I#I - 5 * H#O. G#N := I#I - H#O. E#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#O := 5. I#I := 3. E#N := E#O / G#N. E#O := I#I - 5 * H#O. G#N := I#I - H#O. | E#N | 5 | I#I = 3 -> I#I = 3
H#O = 5 -> H#O = 5
G#N = I#I - H#O
= 3 - 5
3 - 5 = (3 - 5) mod 7 = 5
=> G#N = 5
E#O = I#I - 5 * H#O
= 3 - 5 * 5
3 - 5 = (3 - 5) mod 7 = 5
5 * 5 = (5 × 5) mod 7 = 4
=> E#O = 4
E#N = E#O / G#N
= 4 / 5
4 / 5 = (4 × 5⁻¹) mod 7 = 5
=> E#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 | 5 | 5 | 0 | {
"I#I": 1,
"H#O": 1,
"G#N": 2,
"E#O": 2,
"E#N": 3
} | mod7_arith_d3_0188 |
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 := L#N - G#L. L#N := 4. K#L := I#I - 4. K#M := 3. G#L := 2. G#P := L#N. K#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]. | I#I := L#N - G#L. L#N := 4. K#L := I#I - 4. K#M := 3. G#L := 2. G#P := L#N. | K#L | 5 | L#N = 4 -> L#N = 4
G#L = 2 -> G#L = 2
I#I = L#N - G#L
= 4 - 2
4 - 2 = (4 - 2) mod 7 = 2
=> I#I = 2
K#L = I#I - 4
= 2 - 4
2 - 4 = (2 - 4) mod 7 = 5
=> K#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"
},
... | 3 | 3 | 6 | 4 | 0 | {
"L#N": 1,
"G#L": 1,
"K#M": 1,
"I#I": 2,
"G#P": 2,
"K#L": 3
} | mod7_arith_d3_0189 |
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 := F#O * 3. F#M := F#L. F#O := 2. J#K := F#M. F#L := 1. E#I := F#O * F#L. 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]. | E#M := F#O * 3. F#M := F#L. F#O := 2. J#K := F#M. F#L := 1. E#I := F#O * F#L. | J#K | 1 | F#L = 1 -> F#L = 1
F#M = F#L = 1
J#K = F#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 | 6 | 3 | 0 | {
"F#L": 1,
"F#O": 1,
"E#M": 2,
"E#I": 2,
"F#M": 2,
"J#K": 3
} | mod7_arith_d3_0190 |
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#K := E#O + J#O. E#M := F#I - J#O + E#O. E#O := 1. I#P := 6. J#O := 6. I#M := 2. F#I := E#O. 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]. | L#K := E#O + J#O. E#M := F#I - J#O + E#O. E#O := 1. I#P := 6. J#O := 6. I#M := 2. F#I := E#O. | E#M | 3 | J#O = 6 -> J#O = 6
E#O = 1 -> E#O = 1
F#I = E#O = 1
E#M = F#I - J#O + E#O
= 1 - 6 + 1
1 - 6 = (1 - 6) mod 7 = 2
2 + 1 = (2 + 1) mod 7 = 3
=> 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"
},
... | 3 | 3 | 7 | 4 | 0 | {
"J#O": 1,
"I#P": 1,
"I#M": 1,
"E#O": 1,
"F#I": 2,
"L#K": 2,
"E#M": 3
} | mod7_arith_d3_0191 |
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 := F#O / H#M. G#M := 4 * E#O. G#O := 2. F#O := 2. L#I := 1. E#O := G#O - F#O. H#M := 3. L#P := H#M / G#O. 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]. | H#K := F#O / H#M. G#M := 4 * E#O. G#O := 2. F#O := 2. L#I := 1. E#O := G#O - F#O. H#M := 3. L#P := H#M / G#O. | G#M | 0 | G#O = 2 -> G#O = 2
F#O = 2 -> F#O = 2
E#O = G#O - F#O
= 2 - 2
2 - 2 = (2 - 2) mod 7 = 0
=> E#O = 0
G#M = 4 * E#O
= 4 * 0
4 * 0 = (4 × 0) mod 7 = 0
=> G#M = 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 | {
"H#M": 1,
"L#I": 1,
"G#O": 1,
"F#O": 1,
"L#P": 2,
"H#K": 2,
"E#O": 2,
"G#M": 3
} | mod7_arith_d3_0192 |
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 := 2. G#P := K#J - 2. K#M := K#J + K#I. E#K := K#I. K#J := 3. F#O := G#P * K#M. 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]. | K#I := 2. G#P := K#J - 2. K#M := K#J + K#I. E#K := K#I. K#J := 3. F#O := G#P * K#M. | F#O | 5 | K#J = 3 -> K#J = 3
K#I = 2 -> K#I = 2
G#P = K#J - 2
= 3 - 2
3 - 2 = (3 - 2) mod 7 = 1
=> G#P = 1
K#M = K#J + K#I
= 3 + 2
3 + 2 = (3 + 2) mod 7 = 5
=> K#M = 5
F#O = G#P * K#M
= 1 * 5
1 * 5 = (1 × 5) mod 7 = 5
=> F#O = 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 | 5 | 0 | {
"K#J": 1,
"K#I": 1,
"G#P": 2,
"K#M": 2,
"E#K": 2,
"F#O": 3
} | mod7_arith_d3_0193 |
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#I := 2. I#L := E#M * J#I + 4. F#J := I#L - E#M + F#O. E#M := 6. F#O := 5 * E#M. 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#I := 2. I#L := E#M * J#I + 4. F#J := I#L - E#M + F#O. E#M := 6. F#O := 5 * E#M. | F#J | 5 | E#M = 6 -> E#M = 6
J#I = 2 -> J#I = 2
F#O = 5 * E#M
= 5 * 6
5 * 6 = (5 × 6) mod 7 = 2
=> F#O = 2
I#L = E#M * J#I + 4
= 6 * 2 + 4
6 * 2 = (6 × 2) mod 7 = 5
5 + 4 = (5 + 4) mod 7 = 2
=> I#L = 2
F#J = I#L - E#M + F#O
= 2 - 6 + 2
2 - 6 = (2 - 6) mod 7 = 3
3 + 2 = (3 + 2) mod 7 = ... | [
{
"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 | {
"E#M": 1,
"J#I": 1,
"F#O": 2,
"I#L": 2,
"F#J": 3
} | mod7_arith_d3_0194 |
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. E#O := H#M * E#N. G#N := J#K - L#M. E#N := L#M * J#K. J#K := 6. H#M := 6 / L#M. 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#M := 4. E#O := H#M * E#N. G#N := J#K - L#M. E#N := L#M * J#K. J#K := 6. H#M := 6 / L#M. | E#O | 1 | J#K = 6 -> J#K = 6
L#M = 4 -> L#M = 4
H#M = 6 / L#M
= 6 / 4
6 / 4 = (6 × 4⁻¹) mod 7 = 5
=> H#M = 5
E#N = L#M * J#K
= 4 * 6
4 * 6 = (4 × 6) mod 7 = 3
=> E#N = 3
E#O = H#M * E#N
= 5 * 3
5 * 3 = (5 × 3) mod 7 = 1
=> E#O = 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 | 5 | 0 | {
"J#K": 1,
"L#M": 1,
"G#N": 2,
"H#M": 2,
"E#N": 2,
"E#O": 3
} | mod7_arith_d3_0195 |
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 := E#L / H#L. E#L := 6. K#K := 1. I#P := H#I. H#L := 6. F#J := E#L. I#N := 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]. | H#I := E#L / H#L. E#L := 6. K#K := 1. I#P := H#I. H#L := 6. F#J := E#L. I#N := 1. | I#P | 1 | H#L = 6 -> H#L = 6
E#L = 6 -> E#L = 6
H#I = E#L / H#L
= 6 / 6
6 / 6 = (6 × 6⁻¹) mod 7 = 1
=> H#I = 1
I#P = H#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 | 4 | 0 | {
"K#K": 1,
"I#N": 1,
"H#L": 1,
"E#L": 1,
"F#J": 2,
"H#I": 2,
"I#P": 3
} | mod7_arith_d3_0196 |
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#P := 5. J#J := 1. G#L := L#J / K#J - 5. K#J := 3. J#L := J#P - K#K. L#J := 5 / K#K / J#J. K#K := 4. G#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]. | J#P := 5. J#J := 1. G#L := L#J / K#J - 5. K#J := 3. J#L := J#P - K#K. L#J := 5 / K#K / J#J. K#K := 4. | G#L | 3 | K#J = 3 -> K#J = 3
J#J = 1 -> J#J = 1
K#K = 4 -> K#K = 4
L#J = 5 / K#K / J#J
= 5 / 4 / 1
5 / 4 = (5 × 4⁻¹) mod 7 = 3
3 / 1 = (3 × 1⁻¹) mod 7 = 3
=> L#J = 3
G#L = L#J / K#J - 5
= 3 / 3 - 5
3 / 3 = (3 × 3⁻¹) mod 7 = 1
1 - 5 = (1 - 5) mod 7 = 3
=> G#L = 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 | 5 | 0 | {
"K#J": 1,
"J#J": 1,
"K#K": 1,
"J#P": 1,
"J#L": 2,
"L#J": 2,
"G#L": 3
} | mod7_arith_d3_0197 |
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 := I#L / 2 + K#K. K#O := I#L + L#N / K#K. L#N := 1. K#N := 5 - I#L. G#M := 5 + K#J * K#N. K#K := 4. I#L := 6. 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]. | K#J := I#L / 2 + K#K. K#O := I#L + L#N / K#K. L#N := 1. K#N := 5 - I#L. G#M := 5 + K#J * K#N. K#K := 4. I#L := 6. | G#M | 2 | I#L = 6 -> I#L = 6
K#K = 4 -> K#K = 4
K#N = 5 - I#L
= 5 - 6
5 - 6 = (5 - 6) mod 7 = 6
=> K#N = 6
K#J = I#L / 2 + K#K
= 6 / 2 + 4
6 / 2 = (6 × 2⁻¹) mod 7 = 3
3 + 4 = (3 + 4) mod 7 = 0
=> K#J = 0
G#M = 5 + K#J * K#N
= 5 + 0 * 6
5 + 0 = (5 + 0) mod 7 = 5
5 * 6 = (5 × 6) mod 7 = ... | [
{
"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#L": 1,
"K#K": 1,
"L#N": 1,
"K#O": 2,
"K#N": 2,
"K#J": 2,
"G#M": 3
} | mod7_arith_d3_0198 |
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 := F#M. G#K := 2. F#K := I#P + E#I / G#K. E#N := 4. I#J := G#K * E#I / I#P. F#M := E#N + 3. I#P := 1. E#I := 3. 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]. | E#O := F#M. G#K := 2. F#K := I#P + E#I / G#K. E#N := 4. I#J := G#K * E#I / I#P. F#M := E#N + 3. I#P := 1. E#I := 3. | E#O | 0 | E#N = 4 -> E#N = 4
F#M = E#N + 3
= 4 + 3
4 + 3 = (4 + 3) mod 7 = 0
=> F#M = 0
E#O = F#M = 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 | 3 | 0 | {
"E#I": 1,
"E#N": 1,
"I#P": 1,
"G#K": 1,
"I#J": 2,
"F#M": 2,
"F#K": 2,
"E#O": 3
} | mod7_arith_d3_0199 |
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 := 1. J#K := 5 - F#K. E#I := 4. G#L := H#I. H#I := I#P + 3. F#K := 1. K#J := H#K. I#P := 3. G#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#K := 1. J#K := 5 - F#K. E#I := 4. G#L := H#I. H#I := I#P + 3. F#K := 1. K#J := H#K. I#P := 3. | G#L | 6 | I#P = 3 -> I#P = 3
H#I = I#P + 3
= 3 + 3
3 + 3 = (3 + 3) mod 7 = 6
=> H#I = 6
G#L = 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 | 8 | 3 | 0 | {
"H#K": 1,
"I#P": 1,
"E#I": 1,
"F#K": 1,
"H#I": 2,
"J#K": 2,
"K#J": 2,
"G#L": 3
} | mod7_arith_d3_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].
L#M := 4. F#L := 5. L#P := F#L - L#M * 3. E#P := L#M / F#L. G#L := E#P. G#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]. | L#M := 4. F#L := 5. L#P := F#L - L#M * 3. E#P := L#M / F#L. G#L := E#P. | G#L | 5 | F#L = 5 -> F#L = 5
L#M = 4 -> L#M = 4
E#P = L#M / F#L
= 4 / 5
4 / 5 = (4 × 5⁻¹) mod 7 = 5
=> E#P = 5
G#L = 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 | 5 | 4 | 0 | {
"F#L": 1,
"L#M": 1,
"E#P": 2,
"L#P": 2,
"G#L": 3
} | mod7_arith_d3_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].
J#P := H#O - F#O. F#O := 4. K#I := H#O + K#M * 5. H#O := 3. K#M := 1. J#J := K#M - F#O. G#L := H#O - J#J * F#O. G#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]. | J#P := H#O - F#O. F#O := 4. K#I := H#O + K#M * 5. H#O := 3. K#M := 1. J#J := K#M - F#O. G#L := H#O - J#J * F#O. | G#L | 3 | K#M = 1 -> K#M = 1
F#O = 4 -> F#O = 4
H#O = 3 -> H#O = 3
J#J = K#M - F#O
= 1 - 4
1 - 4 = (1 - 4) mod 7 = 4
=> J#J = 4
G#L = H#O - J#J * F#O
= 3 - 4 * 4
3 - 4 = (3 - 4) mod 7 = 6
6 * 4 = (6 × 4) mod 7 = 3
=> G#L = 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 | 5 | 0 | {
"K#M": 1,
"F#O": 1,
"H#O": 1,
"J#P": 2,
"K#I": 2,
"J#J": 2,
"G#L": 3
} | mod7_arith_d3_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].
L#J := 3. H#I := 5. J#M := I#O - L#J - G#N. J#O := L#J + I#M. I#O := 2 + G#N. G#N := 2. I#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]. | L#J := 3. H#I := 5. J#M := I#O - L#J - G#N. J#O := L#J + I#M. I#O := 2 + G#N. G#N := 2. I#M := 2. | J#M | 6 | G#N = 2 -> G#N = 2
L#J = 3 -> L#J = 3
I#O = 2 + G#N
= 2 + 2
2 + 2 = (2 + 2) mod 7 = 4
=> I#O = 4
J#M = I#O - L#J - G#N
= 4 - 3 - 2
4 - 3 = (4 - 3) mod 7 = 1
1 - 2 = (1 - 2) mod 7 = 6
=> J#M = 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,
"I#M": 1,
"L#J": 1,
"H#I": 1,
"I#O": 2,
"J#O": 2,
"J#M": 3
} | mod7_arith_d3_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].
K#M := L#J. H#M := 4 / H#L. L#J := 2 + H#L. G#O := 6 + H#L. H#L := 1. J#M := 1. 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 := L#J. H#M := 4 / H#L. L#J := 2 + H#L. G#O := 6 + H#L. H#L := 1. J#M := 1. | K#M | 3 | H#L = 1 -> H#L = 1
L#J = 2 + H#L
= 2 + 1
2 + 1 = (2 + 1) mod 7 = 3
=> L#J = 3
K#M = L#J = 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 | {
"H#L": 1,
"J#M": 1,
"L#J": 2,
"H#M": 2,
"G#O": 2,
"K#M": 3
} | mod7_arith_d3_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].
J#P := G#O + J#M. E#J := I#O. J#M := 1. G#O := 3. L#M := G#O. I#O := J#M + G#O. 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]. | J#P := G#O + J#M. E#J := I#O. J#M := 1. G#O := 3. L#M := G#O. I#O := J#M + G#O. | E#J | 4 | G#O = 3 -> G#O = 3
J#M = 1 -> J#M = 1
I#O = J#M + G#O
= 1 + 3
1 + 3 = (1 + 3) mod 7 = 4
=> I#O = 4
E#J = I#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 | 4 | 0 | {
"G#O": 1,
"J#M": 1,
"L#M": 2,
"J#P": 2,
"I#O": 2,
"E#J": 3
} | mod7_arith_d3_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].
G#M := L#P. L#M := 1. L#J := 6. I#N := L#J. L#P := L#J - I#J / 2. I#J := 3. E#P := 6. J#J := E#P. 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]. | G#M := L#P. L#M := 1. L#J := 6. I#N := L#J. L#P := L#J - I#J / 2. I#J := 3. E#P := 6. J#J := E#P. | G#M | 5 | L#J = 6 -> L#J = 6
I#J = 3 -> I#J = 3
L#P = L#J - I#J / 2
= 6 - 3 / 2
6 - 3 = (6 - 3) mod 7 = 3
3 / 2 = (3 × 2⁻¹) mod 7 = 5
=> L#P = 5
G#M = L#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 | 8 | 4 | 0 | {
"L#M": 1,
"L#J": 1,
"E#P": 1,
"I#J": 1,
"J#J": 2,
"I#N": 2,
"L#P": 2,
"G#M": 3
} | mod7_arith_d3_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].
J#K := 3 - E#J - E#K. F#N := 4 - J#K. G#K := E#J * E#K. E#K := 5. E#J := 1. 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#K := 3 - E#J - E#K. F#N := 4 - J#K. G#K := E#J * E#K. E#K := 5. E#J := 1. | F#N | 0 | E#J = 1 -> E#J = 1
E#K = 5 -> E#K = 5
J#K = 3 - E#J - E#K
= 3 - 1 - 5
3 - 1 = (3 - 1) mod 7 = 2
2 - 5 = (2 - 5) mod 7 = 4
=> J#K = 4
F#N = 4 - J#K
= 4 - 4
4 - 4 = (4 - 4) 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"
},
... | 3 | 3 | 5 | 4 | 0 | {
"E#J": 1,
"E#K": 1,
"J#K": 2,
"G#K": 2,
"F#N": 3
} | mod7_arith_d3_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].
J#M := 4. F#P := E#L * 6. E#L := 4. K#L := E#L. I#I := 4 / F#P. 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]. | J#M := 4. F#P := E#L * 6. E#L := 4. K#L := E#L. I#I := 4 / F#P. | I#I | 6 | E#L = 4 -> E#L = 4
F#P = E#L * 6
= 4 * 6
4 * 6 = (4 × 6) mod 7 = 3
=> F#P = 3
I#I = 4 / F#P
= 4 / 3
4 / 3 = (4 × 3⁻¹) mod 7 = 6
=> I#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 | 5 | 3 | 0 | {
"J#M": 1,
"E#L": 1,
"K#L": 2,
"F#P": 2,
"I#I": 3
} | mod7_arith_d3_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#J := K#K. J#P := 6. E#N := K#K / J#P * J#M. E#L := J#M. J#M := 3. K#K := 2. K#N := E#L. 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]. | E#J := K#K. J#P := 6. E#N := K#K / J#P * J#M. E#L := J#M. J#M := 3. K#K := 2. K#N := E#L. | K#N | 3 | J#M = 3 -> J#M = 3
E#L = J#M = 3
K#N = E#L = 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 | 3 | 0 | {
"K#K": 1,
"J#M": 1,
"J#P": 1,
"E#L": 2,
"E#N": 2,
"E#J": 2,
"K#N": 3
} | mod7_arith_d3_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].
J#J := I#P - F#O. E#O := F#O / K#I. I#P := 6. L#I := 2. K#I := 1. F#O := 6. J#M := J#J - E#O. 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]. | J#J := I#P - F#O. E#O := F#O / K#I. I#P := 6. L#I := 2. K#I := 1. F#O := 6. J#M := J#J - E#O. | J#M | 1 | F#O = 6 -> F#O = 6
K#I = 1 -> K#I = 1
I#P = 6 -> I#P = 6
J#J = I#P - F#O
= 6 - 6
6 - 6 = (6 - 6) mod 7 = 0
=> J#J = 0
E#O = F#O / K#I
= 6 / 1
6 / 1 = (6 × 1⁻¹) mod 7 = 6
=> E#O = 6
J#M = J#J - E#O
= 0 - 6
0 - 6 = (0 - 6) mod 7 = 1
=> J#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 | {
"F#O": 1,
"K#I": 1,
"I#P": 1,
"L#I": 1,
"J#J": 2,
"E#O": 2,
"J#M": 3
} | mod7_arith_d3_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].
K#J := 6. E#L := K#P * K#J. K#P := 5. K#N := K#P. I#K := K#J. H#J := E#L * K#N. 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]. | K#J := 6. E#L := K#P * K#J. K#P := 5. K#N := K#P. I#K := K#J. H#J := E#L * K#N. | H#J | 3 | K#J = 6 -> K#J = 6
K#P = 5 -> K#P = 5
K#N = K#P = 5
E#L = K#P * K#J
= 5 * 6
5 * 6 = (5 × 6) mod 7 = 2
=> E#L = 2
H#J = E#L * K#N
= 2 * 5
2 * 5 = (2 × 5) mod 7 = 3
=> H#J = 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 | 5 | 0 | {
"K#J": 1,
"K#P": 1,
"I#K": 2,
"K#N": 2,
"E#L": 2,
"H#J": 3
} | mod7_arith_d3_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].
L#N := I#P / I#I - H#N. I#P := 5. I#I := H#J - 4. H#J := 5. H#N := 6 - H#J + I#P. 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]. | L#N := I#P / I#I - H#N. I#P := 5. I#I := H#J - 4. H#J := 5. H#N := 6 - H#J + I#P. | L#N | 6 | I#P = 5 -> I#P = 5
H#J = 5 -> H#J = 5
I#I = H#J - 4
= 5 - 4
5 - 4 = (5 - 4) mod 7 = 1
=> I#I = 1
H#N = 6 - H#J + I#P
= 6 - 5 + 5
6 - 5 = (6 - 5) mod 7 = 1
1 + 5 = (1 + 5) mod 7 = 6
=> H#N = 6
L#N = I#P / I#I - H#N
= 5 / 1 - 6
5 / 1 = (5 × 1⁻¹) mod 7 = 5
5 - 6 = (5 - 6) mod 7 ... | [
{
"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 | {
"I#P": 1,
"H#J": 1,
"I#I": 2,
"H#N": 2,
"L#N": 3
} | mod7_arith_d3_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].
I#M := 6 / G#P. J#N := G#P + J#O. J#P := J#O / G#P * 2. K#K := 2. F#I := 4. J#J := 5 + J#P + F#I. J#O := 2. G#P := 6. 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]. | I#M := 6 / G#P. J#N := G#P + J#O. J#P := J#O / G#P * 2. K#K := 2. F#I := 4. J#J := 5 + J#P + F#I. J#O := 2. G#P := 6. | J#J | 5 | J#O = 2 -> J#O = 2
G#P = 6 -> G#P = 6
F#I = 4 -> F#I = 4
J#P = J#O / G#P * 2
= 2 / 6 * 2
2 / 6 = (2 × 6⁻¹) mod 7 = 5
5 * 2 = (5 × 2) mod 7 = 3
=> J#P = 3
J#J = 5 + J#P + F#I
= 5 + 3 + 4
5 + 3 = (5 + 3) mod 7 = 1
1 + 4 = (1 + 4) mod 7 = 5
=> J#J = 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 | 5 | 0 | {
"J#O": 1,
"G#P": 1,
"K#K": 1,
"F#I": 1,
"J#N": 2,
"J#P": 2,
"I#M": 2,
"J#J": 3
} | mod7_arith_d3_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].
E#K := J#N / 2. F#P := J#N * H#O. J#M := E#K - J#N. J#N := 4. H#O := 2. F#O := H#O * J#N. 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]. | E#K := J#N / 2. F#P := J#N * H#O. J#M := E#K - J#N. J#N := 4. H#O := 2. F#O := H#O * J#N. | J#M | 5 | J#N = 4 -> J#N = 4
E#K = J#N / 2
= 4 / 2
4 / 2 = (4 × 2⁻¹) mod 7 = 2
=> E#K = 2
J#M = E#K - J#N
= 2 - 4
2 - 4 = (2 - 4) mod 7 = 5
=> J#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"
},
... | 3 | 3 | 6 | 3 | 0 | {
"J#N": 1,
"H#O": 1,
"E#K": 2,
"F#O": 2,
"F#P": 2,
"J#M": 3
} | mod7_arith_d3_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].
G#L := H#M. I#M := 1. I#L := 1. F#O := I#M + I#L. E#J := I#M * I#L. H#M := I#L / I#M - 6. G#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#L := H#M. I#M := 1. I#L := 1. F#O := I#M + I#L. E#J := I#M * I#L. H#M := I#L / I#M - 6. | G#L | 2 | I#L = 1 -> I#L = 1
I#M = 1 -> I#M = 1
H#M = I#L / I#M - 6
= 1 / 1 - 6
1 / 1 = (1 × 1⁻¹) mod 7 = 1
1 - 6 = (1 - 6) mod 7 = 2
=> H#M = 2
G#L = 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"
},
... | 3 | 3 | 6 | 4 | 0 | {
"I#L": 1,
"I#M": 1,
"H#M": 2,
"E#J": 2,
"F#O": 2,
"G#L": 3
} | mod7_arith_d3_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].
E#O := E#L / F#K. F#K := 3. F#M := L#K * F#I. J#O := F#K - E#L. L#K := 3. E#L := 3. F#I := 6 * 3 * L#K. F#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#O := E#L / F#K. F#K := 3. F#M := L#K * F#I. J#O := F#K - E#L. L#K := 3. E#L := 3. F#I := 6 * 3 * L#K. | F#M | 1 | L#K = 3 -> L#K = 3
F#I = 6 * 3 * L#K
= 6 * 3 * 3
6 * 3 = (6 × 3) mod 7 = 4
4 * 3 = (4 × 3) mod 7 = 5
=> F#I = 5
F#M = L#K * F#I
= 3 * 5
3 * 5 = (3 × 5) mod 7 = 1
=> F#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 | 3 | 0 | {
"E#L": 1,
"L#K": 1,
"F#K": 1,
"E#O": 2,
"F#I": 2,
"J#O": 2,
"F#M": 3
} | mod7_arith_d3_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#N := L#K + G#I. G#I := 3. G#M := G#I - L#K. L#K := 5. I#O := G#M. 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]. | F#N := L#K + G#I. G#I := 3. G#M := G#I - L#K. L#K := 5. I#O := G#M. | I#O | 5 | L#K = 5 -> L#K = 5
G#I = 3 -> G#I = 3
G#M = G#I - L#K
= 3 - 5
3 - 5 = (3 - 5) mod 7 = 5
=> G#M = 5
I#O = 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"
},
... | 3 | 3 | 5 | 4 | 0 | {
"L#K": 1,
"G#I": 1,
"G#M": 2,
"F#N": 2,
"I#O": 3
} | mod7_arith_d3_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].
F#N := I#P / H#O. G#N := I#P / 5. I#P := 5. L#N := H#O - I#P. E#L := F#N. H#O := 6. 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]. | F#N := I#P / H#O. G#N := I#P / 5. I#P := 5. L#N := H#O - I#P. E#L := F#N. H#O := 6. | E#L | 2 | I#P = 5 -> I#P = 5
H#O = 6 -> H#O = 6
F#N = I#P / H#O
= 5 / 6
5 / 6 = (5 × 6⁻¹) mod 7 = 2
=> F#N = 2
E#L = F#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"
},
... | 3 | 3 | 6 | 4 | 0 | {
"I#P": 1,
"H#O": 1,
"F#N": 2,
"G#N": 2,
"L#N": 2,
"E#L": 3
} | mod7_arith_d3_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].
L#K := 4. G#M := K#J / L#K / 2. K#J := 5. J#N := L#K * 5 / K#J. F#N := G#M. 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]. | L#K := 4. G#M := K#J / L#K / 2. K#J := 5. J#N := L#K * 5 / K#J. F#N := G#M. | F#N | 5 | K#J = 5 -> K#J = 5
L#K = 4 -> L#K = 4
G#M = K#J / L#K / 2
= 5 / 4 / 2
5 / 4 = (5 × 4⁻¹) mod 7 = 3
3 / 2 = (3 × 2⁻¹) mod 7 = 5
=> G#M = 5
F#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"
},
... | 3 | 3 | 5 | 4 | 0 | {
"K#J": 1,
"L#K": 1,
"G#M": 2,
"J#N": 2,
"F#N": 3
} | mod7_arith_d3_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].
H#O := G#M * H#K. G#M := 4. H#K := 3. L#P := G#M. K#O := 4 / H#K. J#P := 5. H#I := H#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#O := G#M * H#K. G#M := 4. H#K := 3. L#P := G#M. K#O := 4 / H#K. J#P := 5. H#I := H#O. | H#I | 5 | H#K = 3 -> H#K = 3
G#M = 4 -> G#M = 4
H#O = G#M * H#K
= 4 * 3
4 * 3 = (4 × 3) mod 7 = 5
=> H#O = 5
H#I = H#O = 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 | {
"J#P": 1,
"H#K": 1,
"G#M": 1,
"K#O": 2,
"L#P": 2,
"H#O": 2,
"H#I": 3
} | mod7_arith_d3_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#L := E#K - L#J. J#L := 1. H#M := 5 + J#L. E#K := 5. K#M := H#M + 6. L#J := 5. 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#L := E#K - L#J. J#L := 1. H#M := 5 + J#L. E#K := 5. K#M := H#M + 6. L#J := 5. | K#M | 5 | J#L = 1 -> J#L = 1
H#M = 5 + J#L
= 5 + 1
5 + 1 = (5 + 1) mod 7 = 6
=> H#M = 6
K#M = H#M + 6
= 6 + 6
6 + 6 = (6 + 6) 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"
},
... | 3 | 3 | 6 | 3 | 0 | {
"J#L": 1,
"L#J": 1,
"E#K": 1,
"K#L": 2,
"H#M": 2,
"K#M": 3
} | mod7_arith_d3_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].
J#L := 6. I#L := 3. H#O := G#M * I#L. G#M := 2. H#N := H#O. E#O := K#N / J#L. K#N := 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]. | J#L := 6. I#L := 3. H#O := G#M * I#L. G#M := 2. H#N := H#O. E#O := K#N / J#L. K#N := 6. | H#N | 6 | I#L = 3 -> I#L = 3
G#M = 2 -> G#M = 2
H#O = G#M * I#L
= 2 * 3
2 * 3 = (2 × 3) mod 7 = 6
=> H#O = 6
H#N = H#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"
},
... | 3 | 3 | 7 | 4 | 0 | {
"K#N": 1,
"I#L": 1,
"J#L": 1,
"G#M": 1,
"E#O": 2,
"H#O": 2,
"H#N": 3
} | mod7_arith_d3_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].
L#P := 4. H#P := 3 - L#P. H#L := J#K + 6 / E#M. E#M := 5. F#L := H#L + 3 / H#P. J#K := 1. H#J := 4 * L#P + E#M. 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]. | L#P := 4. H#P := 3 - L#P. H#L := J#K + 6 / E#M. E#M := 5. F#L := H#L + 3 / H#P. J#K := 1. H#J := 4 * L#P + E#M. | F#L | 4 | J#K = 1 -> J#K = 1
L#P = 4 -> L#P = 4
E#M = 5 -> E#M = 5
H#L = J#K + 6 / E#M
= 1 + 6 / 5
1 + 6 = (1 + 6) mod 7 = 0
0 / 5 = (0 × 5⁻¹) mod 7 = 0
=> H#L = 0
H#P = 3 - L#P
= 3 - 4
3 - 4 = (3 - 4) mod 7 = 6
=> H#P = 6
F#L = H#L + 3 / H#P
= 0 + 3 / 6
0 + 3 = (0 + 3) mod 7 = 3
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 | 6 | 0 | {
"J#K": 1,
"L#P": 1,
"E#M": 1,
"H#L": 2,
"H#P": 2,
"H#J": 2,
"F#L": 3
} | mod7_arith_d3_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].
L#M := 2. H#N := L#M - L#J. H#O := L#M / G#O. F#M := L#J * H#N - G#O. G#O := 5. L#J := 5. H#M := G#O - 6 + L#J. F#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 := 2. H#N := L#M - L#J. H#O := L#M / G#O. F#M := L#J * H#N - G#O. G#O := 5. L#J := 5. H#M := G#O - 6 + L#J. | F#M | 1 | L#J = 5 -> L#J = 5
G#O = 5 -> G#O = 5
L#M = 2 -> L#M = 2
H#N = L#M - L#J
= 2 - 5
2 - 5 = (2 - 5) mod 7 = 4
=> H#N = 4
F#M = L#J * H#N - G#O
= 5 * 4 - 5
5 * 4 = (5 × 4) mod 7 = 6
6 - 5 = (6 - 5) mod 7 = 1
=> F#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 | {
"L#J": 1,
"G#O": 1,
"L#M": 1,
"H#N": 2,
"H#M": 2,
"H#O": 2,
"F#M": 3
} | mod7_arith_d3_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].
L#L := 6. K#O := L#L. L#N := L#L / H#P. H#P := 3. H#K := H#P / L#L. I#J := L#N / H#P. 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]. | L#L := 6. K#O := L#L. L#N := L#L / H#P. H#P := 3. H#K := H#P / L#L. I#J := L#N / H#P. | I#J | 3 | L#L = 6 -> L#L = 6
H#P = 3 -> H#P = 3
L#N = L#L / H#P
= 6 / 3
6 / 3 = (6 × 3⁻¹) mod 7 = 2
=> L#N = 2
I#J = L#N / H#P
= 2 / 3
2 / 3 = (2 × 3⁻¹) mod 7 = 3
=> I#J = 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 | {
"L#L": 1,
"H#P": 1,
"H#K": 2,
"L#N": 2,
"K#O": 2,
"I#J": 3
} | mod7_arith_d3_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#N := 3. J#N := 3. J#O := E#N. L#I := J#O. E#K := 1. G#J := E#K. L#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#N := 3. J#N := 3. J#O := E#N. L#I := J#O. E#K := 1. G#J := E#K. | L#I | 3 | E#N = 3 -> E#N = 3
J#O = E#N = 3
L#I = J#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 | 6 | 3 | 0 | {
"E#K": 1,
"J#N": 1,
"E#N": 1,
"G#J": 2,
"J#O": 2,
"L#I": 3
} | mod7_arith_d3_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].
J#K := 4. L#I := 4 - K#M * J#K. K#M := 3. J#I := K#M + K#K. K#K := K#M + J#K. G#I := K#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]. | J#K := 4. L#I := 4 - K#M * J#K. K#M := 3. J#I := K#M + K#K. K#K := K#M + J#K. G#I := K#M. | J#I | 3 | K#M = 3 -> K#M = 3
J#K = 4 -> J#K = 4
K#K = K#M + J#K
= 3 + 4
3 + 4 = (3 + 4) mod 7 = 0
=> K#K = 0
J#I = K#M + K#K
= 3 + 0
3 + 0 = (3 + 0) mod 7 = 3
=> J#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 | 6 | 4 | 0 | {
"K#M": 1,
"J#K": 1,
"K#K": 2,
"G#I": 2,
"L#I": 2,
"J#I": 3
} | mod7_arith_d3_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].
J#J := 2. L#N := 4. E#P := 3 * J#J. F#J := 6. E#J := 5. F#L := E#I + L#N. E#I := E#J. 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]. | J#J := 2. L#N := 4. E#P := 3 * J#J. F#J := 6. E#J := 5. F#L := E#I + L#N. E#I := E#J. | F#L | 2 | L#N = 4 -> L#N = 4
E#J = 5 -> E#J = 5
E#I = E#J = 5
F#L = E#I + L#N
= 5 + 4
5 + 4 = (5 + 4) mod 7 = 2
=> F#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 | 7 | 4 | 0 | {
"J#J": 1,
"L#N": 1,
"F#J": 1,
"E#J": 1,
"E#I": 2,
"E#P": 2,
"F#L": 3
} | mod7_arith_d3_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].
J#M := J#K. J#K := 4. K#J := J#K. I#N := 4. J#J := K#J. F#M := 2. G#M := 2. 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]. | J#M := J#K. J#K := 4. K#J := J#K. I#N := 4. J#J := K#J. F#M := 2. G#M := 2. | J#J | 4 | J#K = 4 -> J#K = 4
K#J = J#K = 4
J#J = K#J = 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 | 3 | 0 | {
"J#K": 1,
"I#N": 1,
"F#M": 1,
"G#M": 1,
"J#M": 2,
"K#J": 2,
"J#J": 3
} | mod7_arith_d3_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].
H#J := 2. H#N := 3. F#P := H#J + K#J. K#J := 1. F#J := L#I - 6. L#I := H#N + F#L. K#N := H#J / K#J. F#L := 6. 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]. | H#J := 2. H#N := 3. F#P := H#J + K#J. K#J := 1. F#J := L#I - 6. L#I := H#N + F#L. K#N := H#J / K#J. F#L := 6. | F#J | 3 | H#N = 3 -> H#N = 3
F#L = 6 -> F#L = 6
L#I = H#N + F#L
= 3 + 6
3 + 6 = (3 + 6) mod 7 = 2
=> L#I = 2
F#J = L#I - 6
= 2 - 6
2 - 6 = (2 - 6) mod 7 = 3
=> F#J = 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 | 4 | 0 | {
"K#J": 1,
"H#N": 1,
"F#L": 1,
"H#J": 1,
"F#P": 2,
"L#I": 2,
"K#N": 2,
"F#J": 3
} | mod7_arith_d3_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#K := I#N - G#L. G#J := G#M / I#P - 4. I#P := 1. J#N := 2. G#L := I#P / 5. I#N := J#N - I#P. L#N := 1. G#M := 2. F#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#K := I#N - G#L. G#J := G#M / I#P - 4. I#P := 1. J#N := 2. G#L := I#P / 5. I#N := J#N - I#P. L#N := 1. G#M := 2. | F#K | 5 | I#P = 1 -> I#P = 1
J#N = 2 -> J#N = 2
I#N = J#N - I#P
= 2 - 1
2 - 1 = (2 - 1) mod 7 = 1
=> I#N = 1
G#L = I#P / 5
= 1 / 5
1 / 5 = (1 × 5⁻¹) mod 7 = 3
=> G#L = 3
F#K = I#N - G#L
= 1 - 3
1 - 3 = (1 - 3) mod 7 = 5
=> F#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 | 8 | 5 | 0 | {
"L#N": 1,
"G#M": 1,
"I#P": 1,
"J#N": 1,
"I#N": 2,
"G#L": 2,
"G#J": 2,
"F#K": 3
} | mod7_arith_d3_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#I := L#J * F#M. F#M := 5. K#N := F#M + L#J. L#J := 2. J#K := J#I + K#N * L#J. 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]. | J#I := L#J * F#M. F#M := 5. K#N := F#M + L#J. L#J := 2. J#K := J#I + K#N * L#J. | J#K | 6 | F#M = 5 -> F#M = 5
L#J = 2 -> L#J = 2
J#I = L#J * F#M
= 2 * 5
2 * 5 = (2 × 5) mod 7 = 3
=> J#I = 3
K#N = F#M + L#J
= 5 + 2
5 + 2 = (5 + 2) mod 7 = 0
=> K#N = 0
J#K = J#I + K#N * L#J
= 3 + 0 * 2
3 + 0 = (3 + 0) mod 7 = 3
3 * 2 = (3 × 2) mod 7 = 6
=> J#K = 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 | 5 | 5 | 0 | {
"F#M": 1,
"L#J": 1,
"J#I": 2,
"K#N": 2,
"J#K": 3
} | mod7_arith_d3_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].
L#M := F#M + J#N. G#N := L#M - F#M. J#N := 3. K#N := J#N + F#M. F#M := 2. K#P := J#N - F#M. 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]. | L#M := F#M + J#N. G#N := L#M - F#M. J#N := 3. K#N := J#N + F#M. F#M := 2. K#P := J#N - F#M. | G#N | 3 | J#N = 3 -> J#N = 3
F#M = 2 -> F#M = 2
L#M = F#M + J#N
= 2 + 3
2 + 3 = (2 + 3) mod 7 = 5
=> L#M = 5
G#N = L#M - F#M
= 5 - 2
5 - 2 = (5 - 2) mod 7 = 3
=> G#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 | 6 | 4 | 0 | {
"J#N": 1,
"F#M": 1,
"K#N": 2,
"L#M": 2,
"K#P": 2,
"G#N": 3
} | mod7_arith_d3_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].
K#I := 6. H#O := 5 * 5 / K#I. H#I := G#O + E#M. E#O := 3. G#O := E#M * E#O. E#M := 2. 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]. | K#I := 6. H#O := 5 * 5 / K#I. H#I := G#O + E#M. E#O := 3. G#O := E#M * E#O. E#M := 2. | H#I | 1 | E#M = 2 -> E#M = 2
E#O = 3 -> E#O = 3
G#O = E#M * E#O
= 2 * 3
2 * 3 = (2 × 3) mod 7 = 6
=> G#O = 6
H#I = G#O + E#M
= 6 + 2
6 + 2 = (6 + 2) mod 7 = 1
=> H#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 | 6 | 4 | 0 | {
"K#I": 1,
"E#M": 1,
"E#O": 1,
"H#O": 2,
"G#O": 2,
"H#I": 3
} | mod7_arith_d3_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].
K#J := 5. F#N := L#O + J#O. H#P := 4. L#O := 3. F#J := F#N + 5 / 2. L#K := L#O * 5. J#O := 4. 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]. | K#J := 5. F#N := L#O + J#O. H#P := 4. L#O := 3. F#J := F#N + 5 / 2. L#K := L#O * 5. J#O := 4. | F#J | 6 | L#O = 3 -> L#O = 3
J#O = 4 -> J#O = 4
F#N = L#O + J#O
= 3 + 4
3 + 4 = (3 + 4) mod 7 = 0
=> F#N = 0
F#J = F#N + 5 / 2
= 0 + 5 / 2
0 + 5 = (0 + 5) mod 7 = 5
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"
},
... | 3 | 3 | 7 | 4 | 0 | {
"H#P": 1,
"L#O": 1,
"K#J": 1,
"J#O": 1,
"L#K": 2,
"F#N": 2,
"F#J": 3
} | mod7_arith_d3_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].
L#M := E#K * J#P. K#K := 1. J#L := J#P * K#K. E#K := 2. L#J := 3. J#P := 2. H#K := J#L - L#M. E#P := L#J / J#P. 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#M := E#K * J#P. K#K := 1. J#L := J#P * K#K. E#K := 2. L#J := 3. J#P := 2. H#K := J#L - L#M. E#P := L#J / J#P. | H#K | 5 | J#P = 2 -> J#P = 2
K#K = 1 -> K#K = 1
E#K = 2 -> E#K = 2
J#L = J#P * K#K
= 2 * 1
2 * 1 = (2 × 1) mod 7 = 2
=> J#L = 2
L#M = E#K * J#P
= 2 * 2
2 * 2 = (2 × 2) mod 7 = 4
=> L#M = 4
H#K = J#L - L#M
= 2 - 4
2 - 4 = (2 - 4) mod 7 = 5
=> H#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 | 8 | 6 | 0 | {
"L#J": 1,
"J#P": 1,
"K#K": 1,
"E#K": 1,
"J#L": 2,
"E#P": 2,
"L#M": 2,
"H#K": 3
} | mod7_arith_d3_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].
J#N := 3. K#L := 2. K#J := K#L. I#O := F#L / K#J. F#L := 4 + J#N / K#L. G#K := K#L. 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]. | J#N := 3. K#L := 2. K#J := K#L. I#O := F#L / K#J. F#L := 4 + J#N / K#L. G#K := K#L. | I#O | 0 | K#L = 2 -> K#L = 2
J#N = 3 -> J#N = 3
K#J = K#L = 2
F#L = 4 + J#N / K#L
= 4 + 3 / 2
4 + 3 = (4 + 3) mod 7 = 0
0 / 2 = (0 × 2⁻¹) mod 7 = 0
=> F#L = 0
I#O = F#L / K#J
= 0 / 2
0 / 2 = (0 × 2⁻¹) mod 7 = 0
=> I#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 | 6 | 5 | 0 | {
"K#L": 1,
"J#N": 1,
"K#J": 2,
"F#L": 2,
"G#K": 2,
"I#O": 3
} | mod7_arith_d3_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].
H#J := F#K * J#I. J#I := 1. F#K := 2. K#M := F#K * J#I. G#P := H#J. 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]. | H#J := F#K * J#I. J#I := 1. F#K := 2. K#M := F#K * J#I. G#P := H#J. | G#P | 2 | F#K = 2 -> F#K = 2
J#I = 1 -> J#I = 1
H#J = F#K * J#I
= 2 * 1
2 * 1 = (2 × 1) mod 7 = 2
=> H#J = 2
G#P = H#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 | 5 | 4 | 0 | {
"F#K": 1,
"J#I": 1,
"K#M": 2,
"H#J": 2,
"G#P": 3
} | mod7_arith_d3_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].
G#J := L#P + F#K. G#K := I#O - F#K + 4. I#L := 3. L#P := I#L + F#K. F#K := 6. I#O := 2. 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]. | G#J := L#P + F#K. G#K := I#O - F#K + 4. I#L := 3. L#P := I#L + F#K. F#K := 6. I#O := 2. | G#J | 1 | F#K = 6 -> F#K = 6
I#L = 3 -> I#L = 3
L#P = I#L + F#K
= 3 + 6
3 + 6 = (3 + 6) mod 7 = 2
=> L#P = 2
G#J = L#P + F#K
= 2 + 6
2 + 6 = (2 + 6) mod 7 = 1
=> G#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 | 6 | 4 | 0 | {
"F#K": 1,
"I#L": 1,
"I#O": 1,
"L#P": 2,
"G#K": 2,
"G#J": 3
} | mod7_arith_d3_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].
J#N := 2. F#P := G#M - E#P - J#N. G#M := 2. K#M := J#N / G#M. G#N := J#N. E#P := 5. H#L := F#P + G#N / 3. H#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]. | J#N := 2. F#P := G#M - E#P - J#N. G#M := 2. K#M := J#N / G#M. G#N := J#N. E#P := 5. H#L := F#P + G#N / 3. | H#L | 6 | G#M = 2 -> G#M = 2
E#P = 5 -> E#P = 5
J#N = 2 -> J#N = 2
G#N = J#N = 2
F#P = G#M - E#P - J#N
= 2 - 5 - 2
2 - 5 = (2 - 5) mod 7 = 4
4 - 2 = (4 - 2) mod 7 = 2
=> F#P = 2
H#L = F#P + G#N / 3
= 2 + 2 / 3
2 + 2 = (2 + 2) mod 7 = 4
4 / 3 = (4 × 3⁻¹) mod 7 = 6
=> H#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 | 6 | 0 | {
"G#M": 1,
"E#P": 1,
"J#N": 1,
"G#N": 2,
"K#M": 2,
"F#P": 2,
"H#L": 3
} | mod7_arith_d3_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].
K#J := F#M - K#O + G#P. G#P := 2. K#O := G#P * F#M. F#M := 2. L#I := F#M * G#P. K#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]. | K#J := F#M - K#O + G#P. G#P := 2. K#O := G#P * F#M. F#M := 2. L#I := F#M * G#P. | K#J | 0 | F#M = 2 -> F#M = 2
G#P = 2 -> G#P = 2
K#O = G#P * F#M
= 2 * 2
2 * 2 = (2 × 2) mod 7 = 4
=> K#O = 4
K#J = F#M - K#O + G#P
= 2 - 4 + 2
2 - 4 = (2 - 4) mod 7 = 5
5 + 2 = (5 + 2) mod 7 = 0
=> K#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 | 5 | 4 | 0 | {
"F#M": 1,
"G#P": 1,
"L#I": 2,
"K#O": 2,
"K#J": 3
} | mod7_arith_d3_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].
J#P := 6. K#K := J#P. G#O := I#L - 3. G#J := 1. I#O := J#P / I#L + 6. J#O := K#K / G#O / H#J. I#L := 4. H#J := 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]. | J#P := 6. K#K := J#P. G#O := I#L - 3. G#J := 1. I#O := J#P / I#L + 6. J#O := K#K / G#O / H#J. I#L := 4. H#J := 6. | J#O | 1 | H#J = 6 -> H#J = 6
I#L = 4 -> I#L = 4
J#P = 6 -> J#P = 6
G#O = I#L - 3
= 4 - 3
4 - 3 = (4 - 3) mod 7 = 1
=> G#O = 1
K#K = J#P = 6
J#O = K#K / G#O / H#J
= 6 / 1 / 6
6 / 1 = (6 × 1⁻¹) mod 7 = 6
6 / 6 = (6 × 6⁻¹) mod 7 = 1
=> J#O = 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 | 6 | 0 | {
"H#J": 1,
"I#L": 1,
"G#J": 1,
"J#P": 1,
"G#O": 2,
"I#O": 2,
"K#K": 2,
"J#O": 3
} | mod7_arith_d3_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].
I#P := 1. G#I := I#L + I#P. I#L := I#P - F#M. H#K := I#P - F#M. F#M := 6. G#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 := 1. G#I := I#L + I#P. I#L := I#P - F#M. H#K := I#P - F#M. F#M := 6. | G#I | 3 | F#M = 6 -> F#M = 6
I#P = 1 -> I#P = 1
I#L = I#P - F#M
= 1 - 6
1 - 6 = (1 - 6) mod 7 = 2
=> I#L = 2
G#I = I#L + I#P
= 2 + 1
2 + 1 = (2 + 1) mod 7 = 3
=> G#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 | 5 | 4 | 0 | {
"F#M": 1,
"I#P": 1,
"H#K": 2,
"I#L": 2,
"G#I": 3
} | mod7_arith_d3_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].
F#P := 2 / K#M + 4. F#L := K#M - L#P. L#K := 4. L#P := L#K. K#M := 3. G#K := 1. 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]. | F#P := 2 / K#M + 4. F#L := K#M - L#P. L#K := 4. L#P := L#K. K#M := 3. G#K := 1. | F#L | 6 | K#M = 3 -> K#M = 3
L#K = 4 -> L#K = 4
L#P = L#K = 4
F#L = K#M - L#P
= 3 - 4
3 - 4 = (3 - 4) mod 7 = 6
=> F#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 | 6 | 4 | 0 | {
"G#K": 1,
"K#M": 1,
"L#K": 1,
"L#P": 2,
"F#P": 2,
"F#L": 3
} | mod7_arith_d3_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].
K#K := G#O + I#I. E#N := 2. G#O := F#N - H#L. F#N := 5. H#L := 2. I#I := E#N / H#L. G#J := 3. 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]. | K#K := G#O + I#I. E#N := 2. G#O := F#N - H#L. F#N := 5. H#L := 2. I#I := E#N / H#L. G#J := 3. | K#K | 4 | F#N = 5 -> F#N = 5
H#L = 2 -> H#L = 2
E#N = 2 -> E#N = 2
G#O = F#N - H#L
= 5 - 2
5 - 2 = (5 - 2) mod 7 = 3
=> G#O = 3
I#I = E#N / H#L
= 2 / 2
2 / 2 = (2 × 2⁻¹) mod 7 = 1
=> I#I = 1
K#K = G#O + I#I
= 3 + 1
3 + 1 = (3 + 1) mod 7 = 4
=> K#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 | 7 | 6 | 0 | {
"F#N": 1,
"H#L": 1,
"G#J": 1,
"E#N": 1,
"G#O": 2,
"I#I": 2,
"K#K": 3
} | mod7_arith_d3_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].
H#J := 5. L#M := 3. H#P := 6 / H#K. K#N := L#M * I#I. G#O := 5. G#L := G#O * L#M + I#I. I#I := 3. H#K := G#O + H#J. 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]. | H#J := 5. L#M := 3. H#P := 6 / H#K. K#N := L#M * I#I. G#O := 5. G#L := G#O * L#M + I#I. I#I := 3. H#K := G#O + H#J. | H#P | 2 | H#J = 5 -> H#J = 5
G#O = 5 -> G#O = 5
H#K = G#O + H#J
= 5 + 5
5 + 5 = (5 + 5) mod 7 = 3
=> H#K = 3
H#P = 6 / H#K
= 6 / 3
6 / 3 = (6 × 3⁻¹) mod 7 = 2
=> H#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 | {
"H#J": 1,
"L#M": 1,
"G#O": 1,
"I#I": 1,
"G#L": 2,
"H#K": 2,
"K#N": 2,
"H#P": 3
} | mod7_arith_d3_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].
H#J := J#L - G#N. J#L := G#N / 5 + F#M. G#N := 3. I#I := F#M + G#N + 6. F#M := 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]. | H#J := J#L - G#N. J#L := G#N / 5 + F#M. G#N := 3. I#I := F#M + G#N + 6. F#M := 4. | H#J | 3 | G#N = 3 -> G#N = 3
F#M = 4 -> F#M = 4
J#L = G#N / 5 + F#M
= 3 / 5 + 4
3 / 5 = (3 × 5⁻¹) mod 7 = 2
2 + 4 = (2 + 4) mod 7 = 6
=> J#L = 6
H#J = J#L - G#N
= 6 - 3
6 - 3 = (6 - 3) mod 7 = 3
=> H#J = 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 | 4 | 0 | {
"G#N": 1,
"F#M": 1,
"I#I": 2,
"J#L": 2,
"H#J": 3
} | mod7_arith_d3_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].
L#N := F#J / L#O. I#K := H#M. H#N := 3 / F#J / L#O. F#J := 5. L#O := 4. H#M := F#J - L#O. 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]. | L#N := F#J / L#O. I#K := H#M. H#N := 3 / F#J / L#O. F#J := 5. L#O := 4. H#M := F#J - L#O. | I#K | 1 | F#J = 5 -> F#J = 5
L#O = 4 -> L#O = 4
H#M = F#J - L#O
= 5 - 4
5 - 4 = (5 - 4) mod 7 = 1
=> H#M = 1
I#K = H#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 | 6 | 4 | 0 | {
"F#J": 1,
"L#O": 1,
"H#N": 2,
"L#N": 2,
"H#M": 2,
"I#K": 3
} | mod7_arith_d3_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].
L#J := 4. G#O := 3 + G#K. G#I := 6. G#K := 1. H#K := 6. J#L := 5 + I#N. I#N := L#J * H#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]. | L#J := 4. G#O := 3 + G#K. G#I := 6. G#K := 1. H#K := 6. J#L := 5 + I#N. I#N := L#J * H#K. | J#L | 1 | L#J = 4 -> L#J = 4
H#K = 6 -> H#K = 6
I#N = L#J * H#K
= 4 * 6
4 * 6 = (4 × 6) mod 7 = 3
=> I#N = 3
J#L = 5 + I#N
= 5 + 3
5 + 3 = (5 + 3) 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"
},
... | 3 | 3 | 7 | 4 | 0 | {
"L#J": 1,
"H#K": 1,
"G#K": 1,
"G#I": 1,
"I#N": 2,
"G#O": 2,
"J#L": 3
} | mod7_arith_d3_0249 |
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