messages listlengths 1 1 | ground_truth stringclasses 5 values | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 14*x**8 + 6*x**7 - 46*x**6 - 18*x**5 - 26*x**4 - 14*x**3 - 50*x**2 - 40*x - 24 and 14*x**5 + 4*x**4 - 46*x**3 - 2*x**2 - 40*x - 56\n\nPresent the answer in LaTex format: \\boxed{Your... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 2*x**5 + 11*x**4 + 23*x**3 + 28*x**2 + 21*x + 7 and 3*x**7 + 8*x**6 + 14*x**5 + 18*x**4 + 13*x**3 + 11*x**2 + 12*x + 5\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**7 + 21*x**6 + 28*x**5 + 28*x**4 + 28*x**3 + 28*x**2 + 21*x + 7 and 7*x**8 + 16*x**7 + 13*x**6 + 13*x**5 + 23*x**4 + 24*x**3 + 16*x**2 + 9*x + 3\n\nPresent the answer in LaTex fo... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 2*x**8 + 6*x**7 + 13*x**6 + 23*x**5 + 28*x**4 + 24*x**3 + 15*x**2 + 7*x + 2 and 7*x**4 + 21*x**3 + 28*x**2 + 21*x + 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**6 - 5*x**5 + 5*x**4 - 5*x**3 + 5*x**2 - 2*x - 5 and 7*x**6 - 4*x**2 - 3\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 14*x**7 + 10*x**6 - 52*x**5 - 36*x**4 - 12*x**3 - 12*x**2 - 16*x - 16 and 14*x**3 + 14*x**2 - 56*x - 56\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**4 + 7*x**3 - 7*x*y**3 - 7*y**3 and 5*x**6 + 7*x**5 + 2*x**4 - 5*x**3*y**3 + 3*x**3 - 7*x**2*y**3 - 2*x*y**3 - 3*y**3\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**2 - 7 and 2*x**3 + 5*x - 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**6 + 3*x**5 + 7*x**4 - 7*x**3*y**3 + 2*x**3 - 3*x**2*y**3 - 7*x*y**3 - 2*y**3 and 2*x**7 + 7*x**6 + 7*x**5 - 2*x**4*y**3 + 5*x**4 - 7*x**3*y**3 + 3*x**3 - 7*x**2*y**3 - 5*x*y**3 ... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 4*x**8 + 14*x**7 - 6*x**6 - 42*x**5 - 26*x**4 - 52*x**3 - 42*x**2 - 16*x - 56 and 14*x**4 + 14*x**3 - 52*x**2 - 56*x - 16\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 2*x**7 + 7*x**6 + 15*x**5 + 24*x**4 + 23*x**3 + 18*x**2 + 16*x + 7 and 2*x**8 + 11*x**7 + 18*x**6 + 13*x**5 + 11*x**4 + 19*x**3 + 26*x**2 + 21*x + 7\n\nPresent the answer in LaTex fo... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**7 - 2*x**6 + 2*x**5 - 4*x**4 + 2*x**3 - 3*x**2 + 5*x - 7 and 7*x**2 - 2*x - 5\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 2*x**3 + 11*x**2 + 16*x + 7 and 7*x**7 + 19*x**6 + 24*x**5 + 26*x**4 + 28*x**3 + 28*x**2 + 21*x + 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**10 + 2*x**9 + 7*x**8 - 7*x**7*y**3 + 3*x**7 - 2*x**6*y**3 + 7*x**6 - 7*x**5*y**3 + 3*x**5 - 3*x**4*y**3 + 7*x**4 - 7*x**3*y**3 + 2*x**3 - 3*x**2*y**3 - 7*x*y**3 + 2*x - 2*y**3 + 7... | 1 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 14*x**4 + 10*x**3 - 46*x**2 - 40*x - 40 and 10*x**6 + 14*x**5 - 26*x**4 - 42*x**3 - 46*x**2 - 56*x - 40\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 5*x**5 + 7*x**4 + 5*x**3 - 5*x**2*y**3 - 7*x*y**3 - 5*y**3 and 7*x**7 + 7*x**6 + 7*x**5 - 7*x**4*y**3 + 7*x**4 - 7*x**3*y**3 + 7*x**3 - 7*x**2*y**3 - 7*x*y**3 - 7*y**3\n\nPresent the... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**6 + 5*x**5 + 7*x**4 - 7*x**3*y**3 + 7*x**3 - 5*x**2*y**3 - 7*x*y**3 - 7*y**3 and 5*x**6 + 5*x**5 + 7*x**4 - 5*x**3*y**3 + 7*x**3 - 5*x**2*y**3 - 7*x*y**3 - 7*y**3\n\nPresent the... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 14*x**7 + 14*x**6 - 46*x**5 - 42*x**4 - 26*x**3 - 42*x**2 - 56*x - 56 and 14*x**7 + 14*x**6 - 42*x**5 - 50*x**4 - 52*x**3 - 10*x**2 - 16*x - 56\n\nPresent the answer in LaTex format:... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**8 + 5*x**7 + 3*x**6 - 7*x**5*y**3 + 2*x**5 - 5*x**4*y**3 + 7*x**4 - 3*x**3*y**3 + 7*x**3 - 2*x**2*y**3 - 7*x*y**3 - 7*y**3 and 5*x**10 + 2*x**9 + 7*x**8 - 5*x**7*y**3 + 5*x**7 -... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 10*x**8 + 14*x**7 - 30*x**6 - 52*x**5 - 26*x**4 - 2*x**3 - 42*x**2 - 56*x - 56 and 6*x**5 + 14*x**4 - 14*x**3 - 52*x**2 - 40*x - 16\n\nPresent the answer in LaTex format: \\boxed{You... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 14*x**4 + 10*x**3 - 46*x**2 - 40*x - 40 and 14*x**4 + 14*x**3 - 42*x**2 - 56*x - 56\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 4*x**3 + 14*x**2 - 16*x - 56 and 10*x**5 + 4*x**4 - 26*x**3 - 2*x**2 - 56*x - 56\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**4 + 7*x**3 - 7*x*y**3 - 7*y**3 and 2*x**5 + 7*x**4 + 2*x**3 - 2*x**2*y**3 - 7*x*y**3 - 2*y**3\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 14*x**8 + 14*x**7 - 52*x**6 - 46*x**5 - 6*x**4 - 36*x**3 - 26*x**2 - 16*x - 56 and 14*x**6 + 14*x**5 - 42*x**4 - 46*x**3 - 46*x**2 - 40*x - 40\n\nPresent the answer in LaTex format: ... | 12 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**9 + 7*x**8 + 7*x**7 - 7*x**6*y**3 + 2*x**6 - 7*x**5*y**3 + 5*x**5 - 7*x**4*y**3 + 7*x**4 - 2*x**3*y**3 + 5*x**3 - 5*x**2*y**3 - 7*x*y**3 - 5*y**3 and 3*x**5 + 2*x**4 + 5*x**3 - ... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 2*x**6 + 5*x**5 - 7 and 3*x**4 + 4*x**3 - 2*x - 5\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**6 - 5*x**4 + 5*x**2 - 7 and 7*x**2 - 5*x - 2\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**10 + 5*x**9 + 7*x**8 - 7*x**7*y**3 + 2*x**7 - 5*x**6*y**3 + 2*x**6 - 7*x**5*y**3 + 5*x**5 - 2*x**4*y**3 + 5*x**4 - 2*x**3*y**3 + 2*x**3 - 5*x**2*y**3 - 5*x*y**3 - 2*y**3 and 7*x... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 3*x**2 - 3 and 7*x**5 - 4*x**4 + 4*x**3 - 5*x**2 + 5*x - 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 5*x**9 + 17*x**8 + 26*x**7 + 28*x**6 + 28*x**5 + 23*x**4 + 13*x**3 + 13*x**2 + 16*x + 7 and 7*x**9 + 21*x**8 + 23*x**7 + 13*x**6 + 13*x**5 + 23*x**4 + 26*x**3 + 19*x**2 + 9*x + 2\n\n... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 3*x**4 + 13*x**3 + 19*x**2 + 11*x + 2 and 7*x**7 + 21*x**6 + 24*x**5 + 18*x**4 + 20*x**3 + 26*x**2 + 21*x + 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**4 - 2*x**3 - 3*x**2 + 5*x - 7 and 7*x**4 - 2*x**3 + 2*x**2 - 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 3*x**2 - x - 2 and 7*x**3 - 5*x**2 + x - 3\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**9 + 19*x**8 + 24*x**7 + 24*x**6 + 24*x**5 + 24*x**4 + 24*x**3 + 21*x**2 + 11*x + 2 and 5*x**7 + 17*x**6 + 26*x**5 + 28*x**4 + 23*x**3 + 16*x**2 + 12*x + 5\n\nPresent the answer ... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 2*x**8 + 3*x**7 + 7*x**6 - 2*x**5*y**3 + 2*x**5 - 3*x**4*y**3 + 3*x**4 - 7*x**3*y**3 + 3*x**3 - 2*x**2*y**3 - 3*x*y**3 - 3*y**3 and 7*x**4 + 7*x**3 - 7*x*y**3 - 7*y**3\n\nPresent the... | 8 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 5*x**7 + 13*x**6 + 18*x**5 + 19*x**4 + 18*x**3 + 23*x**2 + 21*x + 7 and 2*x**7 + 11*x**6 + 21*x**5 + 24*x**4 + 22*x**3 + 20*x**2 + 17*x + 7\n\nPresent the answer in LaTex format: \\b... | 7 | MATH |
[
{
"content": "Find the absolute sum of the coefficients and exponents in the polynomial that is the Greatest Common Divisor of: 7*x**3 - 2*x**2 - 2*x - 3 and 3*x**7 + 4*x**6 - 2*x**5 - 3*x**4 + 5*x**2 - 7\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
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