messages listlengths 1 1 | ground_truth stringlengths 1 3.09k | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Compute the indefinite integral for f(x) = -4x^2 + 1x. 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": "What is the symbolic antiderivative of the function f(x) = (-3x + 2)/(-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"
}
] | 3*x + 4*log(x - 2) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 5x^2 - 3. 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 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (3((-2(-2x^2 + 2x - 3) - 1)/(2(-2x^2 + 2x - 3))) - 1)/(2((-2(-2x^2 + 2x - 3) - 1)/(2(-2x^2 + 2x - 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... | -4*x + 11*sqrt(7)*atan(2*sqrt(7)*x/7 - sqrt(7)/7)/14 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 3x^2 - 4x? 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**2 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -2(1((2x - 2)/(2x - 3))^2 + 4((2x - 2)/(2x - 3)) + 4) - 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"
}
] | -21*x - 6*log(2*x - 3) + 1/(2*x - 3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (2x + 2)/(-2x - 2). 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) = (2x - 2)/(-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"
}
] | -2*x + 6*log(x + 2) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 2(-1e^(-2(5x^2 - 1x - 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"
}
] | 5*x - sqrt(10)*sqrt(pi)*exp(61/10)*erf(sqrt(10)*(20*x - 2)/20)/10 | MATH |
[
{
"content": "Determine ∫(-5x^2 + 1x + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5*x**3/3 + x**2/2 + 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -3(2x^2 + 4x + 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"
}
] | -2*x**3 - 6*x**2 - 6*x | MATH |
[
{
"content": "Determine ∫(-1x + 3) dx. 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": "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**3/3 + 3*x**2/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1(-3x^2 + 3x - 4)^2 + 3(-3x^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"
}
] | 9*x**5/5 - 9*x**4/2 + 8*x**3 - 15*x**2/2 + 4*x | MATH |
[
{
"content": "Determine ∫((3(-1((2x)/(-2x - 2)) - 5) + 3)/(-2(-1((2x)/(-2x - 2)) - 5) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x/2 | MATH |
[
{
"content": "Determine ∫((3(-4(-2x^2 - 4x - 2) - 4) - 1)/(-2(-4(-2x^2 - 4x - 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/2 + sqrt(2)*log(x - sqrt(2)/2 + 1)/32 - sqrt(2)*log(x + sqrt(2)/2 + 1)/32 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (2x + 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"
}
] | -x - log(2*x + 1) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (1(1x - 1) - 1)/(1(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 - log(x - 1) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -1(-3x^2 + 1x - 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"
}
] | -9*x**5/5 + 3*x**4/2 - 19*x**3/3 + 3*x**2 - 7*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1(2e^(2x) - 2)^2 - 5(2e^(2x) - 2) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x - exp(4*x) - exp(2*x) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -5((3(2e^(1x)) - 1)/(2(2e^(1x)) - 1))^2 + 5((3(2e^(1x)) - 1)/(2(2e^(1x)) - 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 - 15*log(exp(x) - 1/4)/4 + 5/(16*exp(x) - 4) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 5(-5(1x^2 - 3x - 3) - 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"
}
] | -25*x**3/3 + 75*x**2/2 + 62*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1((-1(5x^2 + 5x + 1) - 2)/(2(5x^2 + 5x + 1) + 3))^2 - 3((-1(5x^2 + 5x + 1) - 2)/(2(5x^2 + 5x + 1) + 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"
}
... | 9*x/4 + (-2*x - 1)/(400*x**2 + 400*x + 200) + 19*atan(2*x + 1)/100 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -2x^2 + 2x + 1. 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 + x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -5x? 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 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 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"
}
] | 3*x**2/2 + 3*x | MATH |
[
{
"content": "Determine ∫((-2x + 2)/(2x - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x - log(2*x - 3)/2 | MATH |
[
{
"content": "Determine ∫(3x - 4) 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 - 4*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 4x + 5. 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": "Compute the indefinite integral for f(x) = (1((1x)/(-2x - 1)) - 2)/(1((1x)/(-2x - 1)) - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x/7 - log(7*x + 3)/49 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5x^2 - 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"
}
] | 5*x**3/3 - 3*x**2/2 + 5*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 2x^2 - 1x - 1. 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": "What is the symbolic antiderivative of the function f(x) = -5x + 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**2/2 + 4*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5(2x - 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"
}
] | 5*x**2 - 18*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-3(1x^2 - 2x - 2) - 2)/(2(1x^2 - 2x - 2) + 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 - sqrt(2)*log(x - 1 + sqrt(2))/8 + sqrt(2)*log(x - sqrt(2) - 1)/8 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -4((-1(-2x^2 + 4x - 3) + 2)/(3(-2x^2 + 4x - 3) + 1))^2 - 5((-1(-2x^2 + 4x - 3) + 2)/(3(-2x^2 + 4x - 3) + 1)) + 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"
... | 38*x/9 + (49 - 49*x)/(54*x**2 - 108*x + 72) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -1((1(-5x + 3) + 3)/(3(-5x + 3) + 3)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -10*x/3 + 2*log(5*x - 4)/15 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3(-1x - 1) + 2. 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) = 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 - x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 1((2(5x^2 + 5x - 5) - 3)/(-1(5x^2 + 5x - 5) - 3))^2 + 3((2(5x^2 + 5x - 5) - 3)/(-1(5x^2 + 5x - 5) - 3)) + 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 + (-162*x - 81)/(65*x**2 + 65*x - 26) + 279*sqrt(65)*log(x + 1/2 + sqrt(65)/10)/845 - 279*sqrt(65)*log(x - sqrt(65)/10 + 1/2)/845 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (-3x - 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"
}
] | 3*x - 6*log(x + 3) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -1(-2x^2 + 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"
}
] | 2*x**3/3 - x**2 - x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5(-3e^(-1(1x - 3)) + 2)^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"
}
] | 15*x + 60*exp(3 - x) - 45*exp(6 - 2*x)/2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (2x - 1)/(1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x - 7*log(x + 3) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 1(-2(-5x - 3) - 5) - 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**2 - 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 3((3x + 3)/(3x + 1))^2 - 4((3x + 3)/(3x + 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"
}
] | -5*x + 4*log(3*x + 1)/3 - 4/(3*x + 1) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 3(-4(-1x^2 - 3x + 2)^2 + 5(-1x^2 - 3x + 2) - 5)^2 + 3(-4(-1x^2 - 3x + 2)^2 + 5(-1x^2 - 3x + 2) - 5) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16*x**9/3 + 72*x**8 + 2328*x**7/7 + 468*x**6 - 525*x**5 - 1719*x**4/2 + 1614*x**3 - 2079*x**2/2 + 326*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-3x + 2)/(3x - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x | MATH |
[
{
"content": "Determine ∫(-5(1(3x - 5)^2 + 4)^2 + 5(1(3x - 5)^2 + 4) - 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -81*x**5 + 675*x**4 - 2355*x**3 + 4275*x**2 - 4065*x | MATH |
[
{
"content": "Determine ∫(5(1x^2 - 4x + 1) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**3/3 - 10*x**2 + x | MATH |
[
{
"content": "Determine ∫(-4(-4(1e^(2x) + 1))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16*x + 8*exp(2*x) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 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/3 - 2*log(x)/3 | MATH |
[
{
"content": "Determine ∫(-2(3x^2 + 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**3 - 4*x**2 + 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 2(-3e^(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"
}
] | 4*x - 3*exp(2*x) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2sin(1π(5x + 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: \\boxed{Your answer}",
"role": "user"
}
] | -2*x + 2*cos(pi*(5*x + 1) - 2)/(5*pi) | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2(-1((2x + 1)/(-1x - 1))^2 - 4) + 3)/(1(-1((2x + 1)/(-1x - 1))^2 - 4) + 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": "us... | -19*x/7 - 10*log(x**2 + 10*x/7 + 4/7)/49 - 5*sqrt(3)*atan(7*sqrt(3)*x/3 + 5*sqrt(3)/3)/147 | 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": "Compute the indefinite integral for f(x) = 4(-1sin(3π(-1x + 3) - 3) + 3) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7*x - 4*cos(3*pi*(3 - x) - 3)/(3*pi) | 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": "Find the indefinite integral of f(x) = -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"
}
] | -3*x**2/2 + x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5(-3sin(1π(-4x + 2) + 1) + 1) - 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"
}
] | -15*cos(pi*(2 - 4*x) + 1)/(4*pi) | MATH |
[
{
"content": "Determine ∫(4(1x + 2)^2 + 5(1x + 2) + 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 + 21*x**2/2 + 29*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = -3x + 2. 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) = 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": "What is the symbolic antiderivative of the function f(x) = -1x^2 + 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**3/3 + x**2/2 - 3*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = (2(-5x^2 - 5x) - 3)/(3(-5x^2 - 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"
}
] | 2*x/3 + sqrt(105)*log(x - sqrt(105)/30 + 1/2)/63 - sqrt(105)*log(x + sqrt(105)/30 + 1/2)/63 | MATH |
[
{
"content": "Determine ∫(4(4(4x^2 - 1x) + 5) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 64*x**3/3 - 8*x**2 + 19*x | MATH |
[
{
"content": "Determine ∫(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 - x | MATH |
[
{
"content": "Determine ∫(-3e^(-1(4x)) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x + 3*exp(-4*x)/4 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 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**2/2 - x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-2(-1e^(1x)) + 1)/(1(-1e^(1x))). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2*x + exp(-x) | MATH |
[
{
"content": "Determine ∫(-1(4x - 3)^2 - 4(4x - 3) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -16*x**3/3 + 4*x**2 + 7*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -2((-2x + 2)/(-1x - 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"
}
] | x + 12*log(x + 2) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 3(-1x^2 + 1x - 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"
}
] | -x**3 + 3*x**2/2 + 2*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 5(4((-1x - 2)/(1x))^2 - 5((-1x - 2)/(1x)) + 3)^2 + 3(4((-1x - 2)/(1x))^2 - 5((-1x - 2)/(1x)) + 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"
}
] | 761*x + 3198*log(x) + (-16044*x**2 - 6240*x - 1280)/(3*x**3) | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-3(-2e^(-2((1x + 1)/(1x + 1)))) - 1)/(-1(-2e^(-2((1x + 1)/(1x + 1)))) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | x*(-1 + 6*exp(-2))/(-2 + 2*exp(-2)) | MATH |
[
{
"content": "Determine ∫((-2x - 1)/(2x + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -x + log(x + 1)/2 | MATH |
[
{
"content": "Determine ∫(5x + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5*x**2/2 + x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -4(5(-1x + 5)^2 + 4(-1x + 5) + 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"
}
] | -20*x**3/3 + 108*x**2 - 584*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 - 4x? 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 - 2*x**2 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (3(5x + 4) + 2)/(-2(5x + 4) - 2). 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 + 1)/10 | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = 4x^2 + 2x + 5. 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 + 5*x | MATH |
[
{
"content": "Determine ∫(-1(1(-1x + 4)^2 + 5(-1x + 4) - 5) - 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 + 13*x**2/2 - 34*x | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (2(-5(-5x + 2)^2 + 4(-5x + 2) - 1) + 1)/(-1(-5(-5x + 2)^2 + 4(-5x + 2) - 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":... | -2*x + sqrt(11)*atan(25*sqrt(11)*x/11 - 8*sqrt(11)/11)/11 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 2x 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 | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 5(3x^2 + 1x - 4)^2 + 2(3x^2 + 1x - 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"
}
] | 9*x**5 + 15*x**4/2 - 109*x**3/3 - 19*x**2 + 74*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": "What is the symbolic antiderivative of the function f(x) = (-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"
}
] | x/3 - 10*log(3*x + 1)/9 | MATH |
[
{
"content": "Determine ∫(2e^(2(-1x^2 - 4x + 2)) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3*x + sqrt(2)*sqrt(pi)*exp(12)*erf(sqrt(2)*(4*x + 8)/4)/2 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = 5(5(-2x^2 + 2x + 4)^2 - 5(-2x^2 + 2x + 4) + 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"
}
] | 20*x**5 - 50*x**4 - 250*x**3/3 + 175*x**2 + 327*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-2(-4x^2 + 1x - 2) - 2)/(-1(-4x^2 + 1x - 2) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x | MATH |
[
{
"content": "Determine ∫((2(2x + 4) + 2)/(1(2x + 4) - 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 + 1) | MATH |
[
{
"content": "Determine ∫(3e^(-1(-5x^2 - 3x)) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3*x + 3*sqrt(5)*sqrt(pi)*exp(-9/20)*erfi(sqrt(5)*(10*x + 3)/10)/10 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = -4x^2 - 4x + 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 - 2*x**2 + 5*x | MATH |
[
{
"content": "Compute the indefinite integral for f(x) = (-2(4x^2 - 5x - 5) + 2)/(-3(4x^2 - 5x - 5) + 4). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2*x/3 - 2*sqrt(1137)*log(x - 5/8 + sqrt(1137)/24)/3411 + 2*sqrt(1137)*log(x - sqrt(1137)/24 - 5/8)/3411 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (1(-2((3x + 1)/(-3x + 2)) - 2) + 3)/(2(-2((3x + 1)/(-3x + 2)) - 2) - 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 - 14*log(3*x - 14) | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 5x^2 + 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"
}
] | 5*x**3/3 + x**2/2 + 4*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = 4(-3(5x^2 + 2x - 3) - 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"
}
] | -20*x**3 - 12*x**2 + 24*x | MATH |
[
{
"content": "Find the indefinite integral of f(x) = -3((-1((3x - 1)/(2x + 1)))/(-1((3x - 1)/(2x + 1)) - 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"
}
] | -3*x + 5*log(9*x + 2)/9 | MATH |
[
{
"content": "What is the symbolic antiderivative of the function f(x) = (-2(2(1x + 3)^2 - 3(1x + 3)) - 2)/(-1(2(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"
}
] | 2*x + 8*sqrt(33)*log(x - sqrt(33)/4 + 9/4)/33 - 8*sqrt(33)*log(x + sqrt(33)/4 + 9/4)/33 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.