messages listlengths 1 1 | ground_truth stringlengths 1 3.09k | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Compute the indefinite integral for f(x) = (3(-4(-4x + 3)^2 + 4(-4x + 3) - 5) - 2)/(-2(-4(-4x + 3)^2 + 4(-4x + 3) - 5)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x/2 - atan(4*x - 5/2)/16 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (1(-2cos(2π(5x + 3)) + 3) - 1)/(2(-2cos(2π(5x + 3)) + 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"
}
] | x/2 - (atan(3*tan(5*pi*x)) + pi*floor((5*pi*x - pi/2)/pi))/(30*pi) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (3(-1(1x^2 + 2x + 1) + 1) - 3)/(-1(-1(1x^2 + 2x + 1) + 1) + 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 + 3*atan(x + 1) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (3(-4(4x^2 + 1x - 5)^2 + 3(4x^2 + 1x - 5) - 2) + 1)/(1(-4(4x^2 + 1x - 5)^2 + 3(4x^2 + 1x - 5) - 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"
}
] | 3*x + RootSum(4052669*_t**4 + 4002*_t**2 + 1, Lambda(_t, _t*log(15329661*_t**3/16 + 7477*_t/16 + x + 1/8))) | MATH |
[
{
"content": "Determine ∫(-3(5((-2x)/(-2x - 3)) + 3)^2 - 4(5((-2x)/(-2x - 3)) + 3) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -228*x + 390*log(2*x + 3) + 675/(4*x + 6) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-1((2(-3x^2 - 1x) + 2)/(1(-3x^2 - 1x) + 2)) - 3)/(-1((2(-3x^2 - 1x) + 2)/(1(-3x^2 - 1x) + 2)) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x/3 + 4*sqrt(17)*log(x + 1/6 + sqrt(17)/6)/153 - 4*sqrt(17)*log(x - sqrt(17)/6 + 1/6)/153 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -4x - 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"
}
] | -2*x**2 - x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3x + 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"
}
] | -3*x**2/2 + 5*x | MATH |
[
{
"content": "Determine ∫((-3((3x - 3)/(3x - 1)) - 1)/(3((3x - 3)/(3x - 1)) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x - 6*log(3*x - 7) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-1(-1x^2 + 3x - 5) + 2)/(-3(-1x^2 + 3x - 5) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x/3 + 14*sqrt(87)*atan(2*sqrt(87)*x/29 - 3*sqrt(87)/29)/261 | 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": "Compute the indefinite integral for f(x) = -3x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x**2/2 + 4*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -5x - 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"
}
] | -5*x**2/2 - x | MATH |
[
{
"content": "Determine ∫(-2(5((1x + 3)/(2x + 3)) + 5) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -17*x - 15*log(2*x + 3)/2 | MATH |
[
{
"content": "Determine ∫((-3x - 3)/(-2x - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x/2 + 3*log(2*x + 1)/4 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1((1(-2x - 2) + 1)/(2(-2x - 2) + 3)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x/2 + log(4*x + 1)/8 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3((1(3x - 1) - 3)/(-3(3x - 1) - 3)) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x - 4*log(x)/3 | MATH |
[
{
"content": "Determine ∫(-3x^2 + 3x + 3) 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 + 3*x | MATH |
[
{
"content": "Determine ∫(-1(-3x^2 - 1x - 3) + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**3 + x**2/2 + 8*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1((1x)/(2x - 3))^2 + 1((1x)/(2x - 3)) - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5*x/4 + 3*log(2*x - 3)/2 - 9/(16*x - 24) | MATH |
[
{
"content": "Determine ∫(1(-2((2x + 2)/(-1x - 2))^2 + 1((2x + 2)/(-1x - 2)))^2 - 2(-2((2x + 2)/(-1x - 2))^2 + 1((2x + 2)/(-1x - 2)))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 120*x + (-1500*x**2 - 5568*x - 5200)/(3*x**3 + 18*x**2 + 36*x + 24) - 396*log(x + 2) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1(1(1x + 3) + 4) - 3. 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) = (-1(2x^2 + 2x - 1))/(-1(2x^2 + 2x - 1) + 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 - sqrt(7)*log(x + 1/2 + sqrt(7)/2)/7 + sqrt(7)*log(x - sqrt(7)/2 + 1/2)/7 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (1x)/(-3x - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x/3 + log(x + 1)/3 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2(3x + 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**2 - 5*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (3x - 1)/(-1x + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x - 5*log(x - 2) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**2/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (3(4x + 1))/(3(4x + 1) + 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 - log(12*x + 5)/6 | MATH |
[
{
"content": "Determine ∫(5x - 5) dx. 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) = -5(-2((1x - 2)/(-2x + 3)) + 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"
}
] | -13*x + 5*log(2*x - 3)/2 | 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": "Find the indefinite integral of f(x) = 3x^2 - 1x + 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 - x**2/2 + 5*x | MATH |
[
{
"content": "Determine ∫(-2cos(3π(1x - 3) - 3) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x - 2*sin(3*pi*(x - 3) - 3)/(3*pi) | MATH |
[
{
"content": "Determine ∫(4x^2 + 2) 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 + 2*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-1x)/(-2x + 3). 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": "Compute the indefinite integral for f(x) = 5x^2 - 3x - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**3/3 - 3*x**2/2 - x | MATH |
[
{
"content": "Determine ∫(-1x^2 - 2x - 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 - 4*x | MATH |
[
{
"content": "Determine ∫(3x^2 + 3x + 3) 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 + 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-1((2x - 3)/(-2x + 3)) + 3)/(1((2x - 3)/(-2x + 3)) - 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 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (1x - 2)/(-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"
}
] | -x/3 + 4*log(3*x - 2)/9 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1(5((-2x)/(1x + 2))^2 + 2((-2x)/(1x + 2))) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12*x + 72*log(x + 2) + 80/(x + 2) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 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"
}
] | 5*x**2/2 + 3*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3(2(-3e^(-1x) + 3) - 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"
}
] | 9*x + 18*exp(-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": "Determine ∫((-2x + 3)/(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*log(x) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (1x - 3)/(1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x - 6*log(x + 3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3x^2 - 1x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x**3 - x**2/2 + 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 4x - 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"
}
] | 2*x**2 - 3*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x^2 - 2x - 1. 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 - x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 5x + 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"
}
] | 5*x**2/2 + x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1e^(2(5x^2 - 5x + 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"
}
] | -sqrt(10)*sqrt(pi)*exp(3/2)*erfi(sqrt(10)*(20*x - 10)/20)/20 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1((-1x + 3)/(2x + 2)) - 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"
}
] | -5*x/2 - 2*log(x + 1) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-1(5x^2 + 5x + 3) - 3)/(-2(5x^2 + 5x + 3) - 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*sqrt(65)*atan(2*sqrt(65)*x/13 + sqrt(65)/13)/130 | MATH |
[
{
"content": "Determine ∫(2x^2 - 3x - 4) 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 - 3*x**2/2 - 4*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (3(1e^(2x) - 1) + 1)/(-1(1e^(2x) - 1) + 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 - 7*log(exp(2*x) - 3)/6 | MATH |
[
{
"content": "Determine ∫(-3e^(-2(-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"
}
] | -2*x + 3*exp(22 - 8*x)/8 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 2e^(1(2((-1x - 1)/(-2x - 2)) - 3)) - 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*exp(2))*exp(-2) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (1x + 2)/(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/2 + 5*log(2*x - 1)/4 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 4x^2 + 3. 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 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-2(2x^2 + 3x - 2) + 1)/(-1(2x^2 + 3x - 2) - 2). 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)/3 + 5*log(x + 3/2)/3 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (1((-3((-2x - 2)/(3x - 1)) - 3)/(-1((-2x - 2)/(3x - 1)) - 2)))/(-2((-3((-2x - 2)/(3x - 1)) - 3)/(-1((-2x - 2)/(3x - 1)) - 2)) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | x/2 - 2*log(x + 1) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1x - 1. 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": "Find the indefinite integral of f(x) = (-2x - 1)/(-2x + 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 + log(2*x - 1) | MATH |
[
{
"content": "Determine ∫(2x + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**2 + 3*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1(-1x + 3)^2 - 3(-1x + 3) - 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**3/3 + 9*x**2/2 - 21*x | MATH |
[
{
"content": "Determine ∫(1x^2 - 4x + 5) dx. 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 + 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 + 5*log(3*x + 2)/9 | MATH |
[
{
"content": "Determine ∫(-1(1x^2 + 3x - 2) - 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 - 3*x**2/2 - 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1(4x^2 + 5x + 1) + 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"
}
] | -4*x**3/3 - 5*x**2/2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1(-2x^2 - 1x - 4) + 4. 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": "Find the indefinite integral of f(x) = 3e^(1(2(5x)^2 - 1(5x) + 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(2)*sqrt(pi)*exp(31/8)*erfi(sqrt(2)*(100*x - 5)/20)/20 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1((2x - 3)/(-3x + 2))^2 - 3((2x - 3)/(-3x + 2)) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14*x/9 - 65*log(3*x - 2)/27 - 25/(81*x - 54) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5x^2 - 3x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**3/3 - 3*x**2/2 - 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2x^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"
}
] | -2*x**3/3 + 5*x**2/2 - 3*x | MATH |
[
{
"content": "Determine ∫((-3x + 2)/(2x - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x/2 - 5*log(2*x - 3)/4 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5((-1(-5x^2 + 5x - 5) + 1)/(-1(-5x^2 + 5x - 5) - 2))^2 - 2((-1(-5x^2 + 5x - 5) + 1)/(-1(-5x^2 + 5x - 5) - 2)) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6*x + (90*x - 45)/(35*x**2 - 35*x + 21) + 516*sqrt(35)*atan(2*sqrt(35)*x/7 - sqrt(35)/7)/245 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3((1((-3x)/(3x)) - 3)/(-3((-3x)/(3x)) - 2))^2 - 1((1((-3x)/(3x)) - 3)/(-3((-3x)/(3x)) - 2)) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -39*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -4(-3x - 4) - 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"
}
] | 6*x**2 + 11*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -4((1(-3x + 3) + 2)/(2(-3x + 3) - 3)) - 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"
}
] | -3*x + 7*log(2*x - 1)/3 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -4(1x^2 - 3x + 3) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x**3/3 + 6*x**2 - 11*x | MATH |
[
{
"content": "Determine ∫((-3((-1x - 3)/(3x - 2)))/(1((-1x - 3)/(3x - 2)) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x/7 - 66*log(7*x - 1)/49 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -2x + 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**2 + 3*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x - 1. 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 ∫((1(1e^(-1x) + 3) + 2)/(2(1e^(-1x) + 3))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x/6 + log(3 + exp(-x))/3 | 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": "What is the symbolic antiderivative of the function f(x) = -4x^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"
}
] | -4*x**3/3 + 3*x**2/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2cos(2π(2(4x - 2)) - 2) + 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 - sin(2*pi*(8*x - 4) - 2)/(8*pi) | MATH |
[
{
"content": "Determine ∫(-5(-2e^(1(-5x + 3)) - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x - 2*exp(3 - 5*x) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1(-5x^2 + 4x - 2)^2 - 4(-5x^2 + 4x - 2) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**5 - 10*x**4 + 56*x**3/3 - 16*x**2 + 13*x | MATH |
[
{
"content": "Determine ∫((1(-3x^2 - 1x - 2) - 1)/(-1(-3x^2 - 1x - 2) + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x + 2*sqrt(47)*atan(6*sqrt(47)*x/47 + sqrt(47)/47)/47 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2x^2 + 2x + 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 + x**2 + 5*x | MATH |
[
{
"content": "Determine ∫((-2(-2sin(3π(-1x + 5) + 1) + 2) - 3)/(1(-2sin(3π(-1x + 5) + 1) + 2))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12*pi*x*tan(3*pi*x/2 - 1/2)/(6*pi*tan(3*pi*x/2 - 1/2) - 6*pi) + 12*pi*x/(6*pi*tan(3*pi*x/2 - 1/2) - 6*pi) - 8/(6*pi*tan(3*pi*x/2 - 1/2) - 6*pi) + 7/(3*pi*tan(3*pi*x/2 - 1/2) - 3*pi) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1((-3x - 2)/(3x + 3)) + 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"
}
] | 4*x + log(x + 1)/3 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3((1((1x - 3)/(3x + 2)))/(1((1x - 3)/(3x + 2)))) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3((-3((3x - 2)/(1x)) + 1)/(3((3x - 2)/(1x)) + 2))^2 - 1((-3((3x - 2)/(1x)) + 1)/(3((3x - 2)/(1x)) + 2)) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 259*x/121 + 666*log(11*x - 6)/1331 + 972/(14641*x - 7986) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -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"
}
] | -5*x**2/2 + 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1(2(4x + 1)) + 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"
}
] | -4*x**2 + 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -3e^(-1(-1x^2 - 5x - 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*sqrt(pi)*exp(-17/4)*erfi(x + 5/2)/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 2(-5((-2x + 3)/(-2x + 3)) - 2) + 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"
}
] | -11*x | MATH |
[
{
"content": "Determine ∫(-1(4x^2 + 5)^2 + 3(4x^2 + 5) - 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 - 28*x**3/3 - 11*x | MATH |
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