messages listlengths 1 1 | ground_truth stringlengths 1 3.09k | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 4(-1(5x^2 + 5x - 2) + 4) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20*x**3/3 - 10*x**2 + 21*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5x - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**2/2 - 5*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5x^2 + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**3/3 + 5*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 4x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x**2 - 4*x | MATH |
[
{
"content": "Determine ∫((-2x - 1)/(-3x - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x/3 - log(3*x + 2)/9 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 + 1x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 + x**2/2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -5x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5*x**2/2 + 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2x^2 + 1x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x**3/3 + x**2/2 | MATH |
[
{
"content": "Determine ∫(3(-1e^(-2x) + 2) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x + 3*exp(-2*x)/2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -4(1(-3e^(1x) - 2) - 1)^2 + 5(1(-3e^(1x) - 2) - 1) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -46*x - 18*exp(2*x) - 87*exp(x) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 + 2x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 + x**2 - 3*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-1x - 3)/(2x + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x/2 - 3*log(2*x + 3)/4 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -2x - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2 - 2*x | MATH |
[
{
"content": "Determine ∫(2(-2x + 1)^2 + 5(-2x + 1) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8*x**3/3 - 9*x**2 + 8*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - 2*log(x)/3 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3(4((2x - 1)/(2x))^2 + 5((2x - 1)/(2x)) - 1) + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28*x - 39*log(x)/2 - 3/x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2/2 + 4*x | MATH |
[
{
"content": "Determine ∫(1x + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2/2 + 2*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-3x + 2)/(-1x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x - 2*log(x) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x^2 + 4x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**3/3 + 2*x**2 + 5*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 2x^2 + 5x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x**3/3 + 5*x**2/2 | MATH |
[
{
"content": "Determine ∫(-4((-3(-2x - 5) + 3)/(2(-2x - 5) - 1))^2 - 4((-3(-2x - 5) + 3)/(2(-2x - 5) - 1)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - 3*log(4*x + 11) + 9/(16*x + 44) | MATH |
[
{
"content": "Determine ∫(-2x^2 - 1x) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x**3/3 - x**2/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 2)/(-3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x/3 - 2*log(x)/3 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1e^(1((-1((-2x - 2)/(-1x + 3)) - 3)/(-1((-2x - 2)/(-1x + 3)) - 3))) - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x*(-E - 2) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-1x + 2)/(1x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - log(x - 3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -4((-3(1x^2 - 5x) + 3)/(2(1x^2 - 5x) - 1)) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x + sqrt(3)*log(x - 5/2 + 3*sqrt(3)/2)/3 - sqrt(3)*log(x - 3*sqrt(3)/2 - 5/2)/3 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1e^(2((2x)/(3x))) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x*(2 - exp(4/3)) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -3e^(1(-1x - 2)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x + 3*exp(-x - 2) | MATH |
[
{
"content": "Determine ∫(1(4x^2 - 4x + 1)^2 + 2(4x^2 - 4x + 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16*x**5/5 - 8*x**4 + 32*x**3/3 - 8*x**2 + 3*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 4((3((-1x - 1)/(-3x - 1)) - 1)/(1((-1x - 1)/(-3x - 1)) - 3))^2 - 3((3((-1x - 1)/(-3x - 1)) - 1)/(1((-1x - 1)/(-3x - 1)) - 3)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 3*log(4*x + 1)/4 - 1/(4*x + 1) | MATH |
[
{
"content": "Determine ∫(3(1(-4x^2 - 5x + 5) - 1) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x**3 - 15*x**2/2 + 11*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -5((3(-4x - 1) - 2)/(3(-4x - 1) - 2))^2 - 1((3(-4x - 1) - 2)/(3(-4x - 1) - 2)) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | -x | MATH |
[
{
"content": "Determine ∫(2x - 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2 - 5*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1x + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2/2 + 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1x + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 + 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3(1e^(-2x) - 3) - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10*x - 3*exp(-2*x)/2 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-2(2x) + 1)/(1(2x) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x + 5*log(x + 1)/2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -2(2(-1x - 1) + 2)^2 - 3(2(-1x - 1) + 2) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8*x**3/3 + 3*x**2 + 3*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-3((1x + 3)/(3x + 1)) + 2)/(1((1x + 3)/(3x + 1)))? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x - 16*log(x + 3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (3(5x - 3) - 1)/(1(5x - 3) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x - 7*log(5*x - 1)/5 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3(-2x + 3) - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x**2 - 10*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2x - 3)/(-1x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x + 5*log(x + 1) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1x^2 + 5x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**3/3 + 5*x**2/2 + 5*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x**3/3 + 5*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (3(-2(-4x + 3)))/(-3(-2(-4x + 3)) - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x + log(8*x - 5)/8 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-2x + 3)/(-3x - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x/3 - 13*log(3*x + 2)/9 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-1(1(5x^2 + 5x + 4) - 3))/(2(1(5x^2 + 5x + 4) - 3) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x/2 - sqrt(15)*log(x - sqrt(15)/10 + 1/2)/60 + sqrt(15)*log(x + sqrt(15)/10 + 1/2)/60 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 2(-5x - 3) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5*x**2 - 10*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -2x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2 - 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1x + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 + 3*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3((2x - 2)/(3x + 2))^2 + 5((2x - 2)/(3x + 2)) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17*x/3 - 10*log(3*x + 2) - 100/(27*x + 18) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 + 5*x | MATH |
[
{
"content": "Determine ∫(4x^2 + 1x + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 + x**2/2 + 3*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3x - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x**2/2 - 2*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3(-5(5x + 5)^2 + 1)^2 + 1(-5(5x + 5)^2 + 1) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9375*x**5 - 46875*x**4 - 280625*x**3/3 - 93125*x**2 - 46255*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 4((-1x + 2)/(3x - 1)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -13*x/3 + 20*log(3*x - 1)/9 | MATH |
[
{
"content": "Determine ∫((3x + 1)/(-3x + 4)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - 5*log(3*x - 4)/3 | MATH |
[
{
"content": "Determine ∫(-1x^2 - 5x - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**3/3 - 5*x**2/2 - 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -4x^2 - 3x + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x**3/3 - 3*x**2/2 + 2*x | MATH |
[
{
"content": "Determine ∫(3x^2 - 3x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**3 - 3*x**2/2 - 4*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-1(-2x^2 + 4x - 1) - 2)/(1(-2x^2 + 4x - 1)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x + sqrt(2)*log(x - 1 - sqrt(2)/2)/2 - sqrt(2)*log(x - 1 + sqrt(2)/2)/2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (3(-3e^(2x) - 2) + 3)/(-2(-3e^(2x) - 2) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x/7 - 15*log(exp(2*x) + 7/6)/28 | MATH |
[
{
"content": "Determine ∫(-1(1e^(-1x) - 1) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x + exp(-x) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (2x + 3)/(-3x + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x/3 - 11*log(3*x - 1)/9 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -2x + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2 + x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3x^2 + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**3 + 2*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2x + 2)/(-2x + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - 5*log(2*x - 3)/2 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1x^2 + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**3/3 + 5*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 - 5x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 - 5*x**2/2 - 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 5(1x^2 + 1x + 5)^2 + 2(1x^2 + 1x + 5) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**5 + 5*x**4/2 + 19*x**3 + 26*x**2 + 134*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2/2 + 4*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (1x - 3)/(1x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 - 5*x | MATH |
[
{
"content": "Determine ∫(5((3x - 2)/(-2x + 1)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -11*x/2 + 5*log(2*x - 1)/4 | MATH |
[
{
"content": "Determine ∫((-3(-3((3x - 3)/(-3x)) + 2) - 2)/(2(-3((3x - 3)/(-3x)) + 2) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17*x/7 - 39*log(7*x - 6)/49 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2/2 + 3*x | MATH |
[
{
"content": "Determine ∫((1(-4x^2 + 4x - 1) - 2)/(-2(-4x^2 + 4x - 1))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x/2 + 1/(4*x - 2) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x**2/2 - 3*x | MATH |
[
{
"content": "Determine ∫(-4x + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x**2 + 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3(3(-1x^2 - 1x - 2) + 1) + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x**3 - 9*x**2/2 - 12*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 2(-3e^(-1x) + 3)^2 + 4(-3e^(-1x) + 3) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35*x + 48*exp(-x) - 9*exp(-2*x) | MATH |
[
{
"content": "Determine ∫(-1((3x - 3)/(2x - 1))^2 - 4((3x - 3)/(2x - 1)) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17*x/4 + 21*log(2*x - 1)/4 + 9/(16*x - 8) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1x - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 - 5*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2x^2 + 1x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x**3/3 + x**2/2 - x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 + 2*x | MATH |
[
{
"content": "Determine ∫(4x^2 + 1x - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 + x**2/2 - 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-2(4(1x^2 - 1x - 5) + 4) + 1)/(3(4(1x^2 - 1x - 5) + 4) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x/3 - sqrt(3)*log(x - 1/2 + 7*sqrt(3)/6)/36 + sqrt(3)*log(x - 7*sqrt(3)/6 - 1/2)/36 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(-2x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x/2 + log(x) | MATH |
[
{
"content": "Determine ∫(4x + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x**2 + 5*x | MATH |
[
{
"content": "Determine ∫((-2x + 3)/(-1x + 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x + 3*log(x - 3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2/2 - 4*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 4(1e^(-1x) - 1)^2 + 4(1e^(-1x) - 1) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x + 4*exp(-x) - 2*exp(-2*x) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2x)/(-2x + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - log(2*x - 1)/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2(-4(-4x^2 - 2x)^2 + 1(-4x^2 - 2x) - 4)^2 - 2(-4(-4x^2 - 2x)^2 + 1(-4x^2 - 2x) - 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | -8192*x**9/9 - 2048*x**8 - 13312*x**7/7 - 2816*x**6/3 - 2208*x**5/5 - 264*x**4 - 96*x**3 - 14*x**2 - 24*x | MATH |
[
{
"content": "Determine ∫((-1x - 3)/(2x - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x/2 - 7*log(2*x - 1)/4 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**2/2 + 2*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3(2(4x^2 - 3x + 3)^2 + 5(4x^2 - 3x + 3) + 2)^2 - 5(2(4x^2 - 3x + 3)^2 + 5(4x^2 - 3x + 3) + 2) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your ans... | -1024*x**9/3 + 1152*x**8 - 23424*x**7/7 + 5760*x**6 - 43756*x**5/5 + 9159*x**4 - 26293*x**3/3 + 10965*x**2/2 - 3854*x | MATH |
[
{
"content": "Determine ∫(5((-1(-3e^(1x)) - 2)/(-3(-3e^(1x)) + 2))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5*x + 20*log(exp(x) + 2/9)/3 | MATH |
[
{
"content": "Determine ∫((3x - 2)/(3x - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x | MATH |
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