messages listlengths 1 1 | ground_truth stringlengths 1 118 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Find the indefinite integral of f(x) = 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"
}
] | 3*x**2/2 - 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -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**2/2 + 3*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1(2x + 5)^2 + 2(2x + 5) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 + 12*x**2 + 31*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -4x + 3. 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": "Find the indefinite integral of f(x) = 1x + 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 + 2*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2(-5(-3x - 1) - 1) - 1)/(2(-5(-3x - 1) - 1) - 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(30*x + 7)/15 | MATH |
[
{
"content": "Determine ∫((2(1cos(3π((2x)/(-3x + 4)) - 1) - 2) - 3)/(2(1cos(3π((2x)/(-3x + 4)) - 1) - 2) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 3(-1x^2 + 5x - 5)^2 - 5(-1x^2 + 5x - 5) + 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"
}
] | 3*x**5/5 - 15*x**4/2 + 110*x**3/3 - 175*x**2/2 + 105*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5x - 3. 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": "Determine ∫(2(3(-4x^2 - 4x + 1)^2 + 3(-4x^2 - 4x + 1) - 4) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96*x**5/5 + 48*x**4 + 8*x**3 - 36*x**2 + 8*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 1x^2 - 2x + 3. 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 + 3*x | 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": "What is the symbolic antiderivative of the function f(x) = 1(-5x + 5)^2 + 1(-5x + 5) - 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"
}
] | 25*x**3/3 - 55*x**2/2 + 28*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -4(4x - 2)^2 + 2(4x - 2) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -64*x**3/3 + 36*x**2 - 21*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2x - 3)/(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 - log(x) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 3x - 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**3/3 - 3*x**2/2 - 4*x | MATH |
[
{
"content": "Determine ∫(4(1x^2 + 5x + 5) + 4) 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 + 10*x**2 + 24*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -5x^2 - 3x + 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"
}
] | -5*x**3/3 - 3*x**2/2 + 3*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -5(-5(1e^(-1x) - 1)^2 + 4(1e^(-1x) - 1) + 5)^2 - 5(-5(1e^(-1x) - 1)^2 + 4(1e^(-1x) - 1) + 5) + 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 answe... | -55*x - 490*exp(-x) + 1155*exp(-2*x)/2 - 700*exp(-3*x)/3 + 125*exp(-4*x)/4 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 2x^2 + 4x + 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**3/3 + 2*x**2 + 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (2x - 2)/(1x) 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*log(x) | MATH |
[
{
"content": "Determine ∫(4x - 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 - 2*x | MATH |
[
{
"content": "Determine ∫(5(-3(-3x - 2) - 2)^2 - 1(-3(-3x - 2) - 2) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 135*x**3 + 351*x**2/2 + 72*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3(3x - 4) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9*x**2/2 - 7*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -4x^2 + 1x - 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 + x**2/2 - 3*x | 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 + 8*log(3*x + 2)/9 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 2(1x - 5)^2 - 4(1x - 5) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x**3/3 - 12*x**2 + 73*x | MATH |
[
{
"content": "Determine ∫(-1(3(-1x^2 + 1x - 1)^2 - 5(-1x^2 + 1x - 1) - 2) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x**5/5 + 3*x**4/2 - 14*x**3/3 + 11*x**2/2 - 2*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-3(-1(-3x^2 + 3x - 3) - 2) + 1)/(-1(-1(-3x^2 + 3x - 3) - 2) - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x - 20*sqrt(39)*atan(2*sqrt(39)*x/13 - sqrt(39)/13)/39 | MATH |
[
{
"content": "Determine ∫(4x^2 - 3x + 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 - 3*x**2/2 + 2*x | MATH |
[
{
"content": "Determine ∫(1x^2 + 3x) 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 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-3(3x - 3) - 3)/(3(3x - 3) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - log(9*x - 7)/9 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-2x - 1)/(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"
}
] | -2*x/3 - 7*log(3*x - 2)/9 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (1x + 2)/(-1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - 5*log(x - 3) | MATH |
[
{
"content": "Determine ∫(5((2(-5x^2 - 4x - 3) - 2)/(3(-5x^2 - 4x - 3) - 2))^2 + 1((2(-5x^2 - 4x - 3) - 2)/(3(-5x^2 - 4x - 3) - 2)) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10*x/9 - (-50*x - 20)/(5805*x**2 + 4644*x + 4257) + 676*sqrt(129)*atan(5*sqrt(129)*x/43 + 2*sqrt(129)/43)/16641 | MATH |
[
{
"content": "Determine ∫(4x^2 - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4*x**3/3 - x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3x^2 + 2x - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x**3 + x**2 - 3*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 ∫(-2x + 4) dx. 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": "Find the indefinite integral of f(x) = 3(-2(-1x^2 - 5x + 4)^2 - 4(-1x^2 - 5x + 4) + 2)^2 + 4(-2(-1x^2 - 5x + 4)^2 - 4(-1x^2 - 5x + 4) + 2) + 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**9/3 + 30*x**8 + 1560*x**7/7 + 400*x**6 - 8756*x**5/5 - 3140*x**4 + 12720*x**3 - 13600*x**2 + 6168*x | MATH |
[
{
"content": "Determine ∫((1(1e^(-1x) + 2) - 1)/(2(1e^(-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/6 - log(3 + exp(-x))/3 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -5x - 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"
}
] | -5*x**2/2 - 5*x | MATH |
[
{
"content": "Determine ∫(-2((3x + 2)/(2x)) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x - 2*log(x) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (1(3cos(2πx + 2) + 2) + 1)/(2(3cos(2πx + 2) + 2) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -4x + 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**2 + 3*x | MATH |
[
{
"content": "Determine ∫(-5(-5x^2 + 4x + 3)^2 + 1(-5x^2 + 4x + 3) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -25*x**5 + 50*x**4 + 65*x**3/3 - 58*x**2 - 44*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-3x - 3)/(-3x + 4). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x + 7*log(3*x - 4)/3 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5x^2 - 5x + 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 - 5*x**2/2 + 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 4x^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"
}
] | 4*x**3/3 - 5*x | MATH |
[
{
"content": "Determine ∫(1(1x^2 + 3x - 2)^2 + 1(1x^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**5/5 + 3*x**4/2 + 2*x**3 - 9*x**2/2 + 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -3x^2 - 3x - 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**3 - 3*x**2/2 - 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2(-4(4x + 4)^2 - 3(4x + 4) + 2) - 1)/(2(-4(4x + 4)^2 - 3(4x + 4) + 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": "use... | x + sqrt(57)*log(x - sqrt(57)/32 + 35/32)/152 - sqrt(57)*log(x + sqrt(57)/32 + 35/32)/152 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 4x + 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**2 + 2*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3((-2x - 2)/(2x - 3)) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x + 15*log(2*x - 3)/2 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 4(-2x^2 + 5x + 3) - 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"
}
] | -8*x**3/3 + 10*x**2 + 7*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 2x + 2. 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((-2x + 2)/(1x))^2 + 5((-2x + 2)/(1x)) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -13*x + 18*log(x) + 4/x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3(1(-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"
}
] | 3*x**2 + 5*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-3x)/(3x + 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(3*x + 1)/3 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 4x - 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**3/3 - 2*x**2 - x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -5x - 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"
}
] | -5*x**2/2 - 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -2((3x - 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"
}
] | -3*x + 4*log(x + 1) | MATH |
[
{
"content": "Determine ∫((2(1sin(1πx - 3) + 3) + 2)/(-3(1sin(1πx - 3) + 3) - 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 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2((-2(-3x^2 + 4x - 1) - 1)/(3(-3x^2 + 4x - 1) + 2)))/(-3((-2(-3x^2 + 4x - 1) - 1)/(3(-3x^2 + 4x - 1) + 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: \... | 4*x**3 - 8*x**2 + 2*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2x + 3)/(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"
}
] | x + 3*log(x)/2 | MATH |
[
{
"content": "Determine ∫(1(4x^2 - 5x - 5) + 4) 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 - 5*x**2/2 - x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -4(-1x + 4)^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"
}
] | -4*x**3/3 + 16*x**2 - 64*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-3x - 3)/(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"
}
] | -3*x/2 - 9*log(2*x - 1)/4 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (3x + 1)/(-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"
}
] | -3*x - 10*log(x - 3) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1(5x^2 - 2x - 1)^2 - 3(5x^2 - 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"
}
] | -5*x**5 + 5*x**4 - 3*x**3 + x**2 - 2*x | MATH |
[
{
"content": "Determine ∫(1x - 4) dx. 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((-3(-3x - 2) + 1)/(-1(-3x - 2) + 2)) - 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"
}
] | 11*x - 20*log(3*x + 4)/3 | MATH |
[
{
"content": "Determine ∫(4((-3x - 3)/(-2x - 1))^2 - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6*x + 9*log(2*x + 1) - 9/(4*x + 2) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3((-2(3x^2 + 2x + 1) - 2)/(2(3x^2 + 2x + 1) + 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"
}
] | x - 3*sqrt(14)*atan(3*sqrt(14)*x/7 + sqrt(14)/7)/14 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -5x^2 + 5x + 5. 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**2/2 + 5*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1((1((-3x - 3)/(-1x - 3)) - 2)/(-1((-3x - 3)/(-1x - 3)) + 3))^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"
}
] | -x**3/108 + x**2/12 + 11*x/4 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-2((-1((1x)/(1x)) + 3)/(2((1x)/(1x)) - 1)) + 2)/(-3((-1((1x)/(1x)) + 3)/(2((1x)/(1x)) - 1)) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x/4 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3x - 5. 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": "Find the indefinite integral of f(x) = 4((3x - 3)/(-2x + 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"
}
] | -7*x - 3*log(2*x - 3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3((3x + 2)/(3x - 1)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x + 3*log(3*x - 1) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (1x)/(-1x - 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*log(x + 2) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1x^2 - 4x + 2. 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 + 2*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-3((-2((1x + 1)/(2x)) + 1)/(3((1x + 1)/(2x)) + 3)) - 3)/(1((-2((1x + 1)/(2x)) + 1)/(3((1x + 1)/(2x)) + 3))). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27*x**2/4 + 3*x/2 | MATH |
[
{
"content": "Determine ∫(-5((-1x + 3)/(-3x - 3)) + 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 + 20*log(x + 1)/3 | MATH |
[
{
"content": "Determine ∫((-2x + 1)/(-1x + 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(x - 2) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-2x - 3)/(-3x) 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 + log(x) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (3x + 3)/(-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"
}
] | -x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-1x + 3)/(2x + 1). 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": "Determine ∫(-1x + 5) dx. 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": "Compute the indefinite integral for f(x) = -2(3x^2 + 1x - 5)^2 - 2(3x^2 + 1x - 5) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -18*x**5/5 - 3*x**4 + 52*x**3/3 + 9*x**2 - 35*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (2(-4((1x - 1)/(-1x + 2)) + 4) + 3)/(-3(-4((1x - 1)/(-1x + 2)) + 4) + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -19*x/23 + 44*log(23*x - 34)/529 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -2(-2x^2 - 5x - 5) - 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**3/3 + 5*x**2 + 6*x | MATH |
[
{
"content": "Determine ∫(-3x + 5) dx. 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": "What is the symbolic antiderivative of the function f(x) = (-1((-3x - 3)/(3x + 1)))/(-2((-3x - 3)/(3x + 1)) + 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/3 + 2*log(9*x + 7)/27 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 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**3/3 - x**2/2 + 4*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1x - 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**2/2 - x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3(-1x) - 5. 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": "Compute the indefinite integral for f(x) = (-1x)/(-3x + 4). 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 - 4)/9 | MATH |
[
{
"content": "Determine ∫(4(-2x - 5) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4*x**2 - 21*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 |
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