id stringlengths 29 29 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringlengths 1 3.09k | dataset stringclasses 1
value |
|---|---|---|---|---|---|
trans_integrations_train_0900 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | 3*x**2/2 - x | math |
trans_integrations_train_0901 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 5((3(1x^2 + 4x + 3) + 1)/(-2(1x^2 + 4x + 3) + 1))^2 - 4((3(1x^2 + 4x + 3) + 1)/(-2(1x^2 + 4x + 3) + 1)) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 61*x/4 + (-125*x - 250)/(48*x**2 + 192*x + 120) + 1015*sqrt(6)*log(x - sqrt(6)/2 + 2)/288 - 1015*sqrt(6)*log(x + sqrt(6)/2 + 2)/288 | math |
trans_integrations_train_0902 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -3*x**2/2 + 5*x | math |
trans_integrations_train_0903 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((-2((2x + 1)/(1x + 1)) + 2)/(1((2x + 1)/(1x + 1)) + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -x/2 + 3*log(4*x + 3)/8 | math |
trans_integrations_train_0904 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 4x^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}"
}
] | 4*x**3/3 - x**2/2 - 2*x | math |
trans_integrations_train_0905 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((1x + 2)/(-3x - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -x/3 - 5*log(3*x + 1)/9 | math |
trans_integrations_train_0906 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (2x + 2)/(2x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x - log(2*x + 3)/2 | math |
trans_integrations_train_0907 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -5(5x^2 + 3x + 2)^2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -25*x**5 - 75*x**4/2 - 145*x**3/3 - 30*x**2 - 20*x | math |
trans_integrations_train_0908 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 3x^2 + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**3 + 5*x | math |
trans_integrations_train_0909 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((1(2e^(-1x) + 3) - 2)/(-1(2e^(-1x) + 3) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -x/6 + 5*log(3 + exp(-x))/6 | math |
trans_integrations_train_0910 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -1(-1(3x - 1)^2 - 5(3x - 1) - 3)^2 + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -81*x**5/5 - 81*x**4/2 - 21*x**3 + 9*x**2 + 3*x | math |
trans_integrations_train_0911 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | x/3 - 8*log(3*x - 1)/9 | math |
trans_integrations_train_0912 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (3x + 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}"
}
] | 3*x - 2*log(x + 1) | math |
trans_integrations_train_0913 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -1(-5(-4x - 2)^2 + 1(-4x - 2) + 3) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 80*x**3/3 + 42*x**2 + 15*x | math |
trans_integrations_train_0914 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -x**2/2 + 5*x | math |
trans_integrations_train_0915 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -x**2 + 3*x | math |
trans_integrations_train_0916 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-2((3x + 1)/(3x + 2)) + 2)/(-3((3x + 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}"
}
] | -2*log(9*x + 3)/9 | math |
trans_integrations_train_0917 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -x**2 - x | math |
trans_integrations_train_0918 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -1((-3x + 3)/(-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}"
}
] | -9*x/4 + 27*log(2*x + 1)/4 + 81/(16*x + 8) | math |
trans_integrations_train_0919 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((-1x + 3)/(3x - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -x/3 + 8*log(3*x - 1)/9 | math |
trans_integrations_train_0920 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 2x - 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**2 - 5*x | math |
trans_integrations_train_0921 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(1(2x + 3) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**2 + 2*x | math |
trans_integrations_train_0922 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 2((3(1x^2 + 2x + 1) - 2)/(3(1x^2 + 2x + 1) - 2))^2 + 4((3(1x^2 + 2x + 1) - 2)/(3(1x^2 + 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}"
}
] | 6*x | math |
trans_integrations_train_0923 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (3x - 1)/(2x + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3*x/2 - 11*log(2*x + 3)/4 | math |
trans_integrations_train_0924 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (1(-1(-2cos(3πx - 1))^2 + 1(-2cos(3πx - 1)) + 3) + 3)/(1(-1(-2cos(3πx - 1))^2 + 1(-2cos(3πx - 1)) + 3) + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x | math |
trans_integrations_train_0925 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(4(-4x^2 - 2x + 1)^2 + 1(-4x^2 - 2x + 1) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 64*x**5/5 + 16*x**4 - 20*x**3/3 - 9*x**2 + 9*x | math |
trans_integrations_train_0926 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -1(5(2x - 4)) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -5*x**2 + 19*x | math |
trans_integrations_train_0927 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | 3*x/2 + 13*log(2*x - 3)/4 | math |
trans_integrations_train_0928 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 4((-3(-3x^2 + 4x - 1) + 1)/(2(-3x^2 + 4x - 1)))^2 + 2((-3(-3x^2 + 4x - 1) + 1)/(2(-3x^2 + 4x - 1))) + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex... | 10*x + (2 - 3*x)/(6*x**2 - 8*x + 2) + 7*log(x - 1)/4 - 7*log(x - 1/3)/4 | math |
trans_integrations_train_0929 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -3*x**2/2 - 4*x | math |
trans_integrations_train_0930 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(3x^2 + 4x + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**3 + 2*x**2 + x | math |
trans_integrations_train_0931 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -2x - 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}"
}
] | -x**2 - 2*x | math |
trans_integrations_train_0932 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (2(-1(-3e^(-1x) + 2) + 3) + 3)/(2(-1(-3e^(-1x) + 2) + 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}"
}
] | -5*x - 6*log(-1/6 + exp(-x)) | math |
trans_integrations_train_0933 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(1((3x - 2)/(3x + 1))^2 - 4((3x - 2)/(3x + 1)) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -7*x + 2*log(3*x + 1) - 3/(3*x + 1) | math |
trans_integrations_train_0934 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (2(-4(3x - 4) - 4) + 2)/(3(-4(3x - 4) - 4) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2*x/3 - 5*log(18*x - 17)/54 | math |
trans_integrations_train_0935 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 3x^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 answer}"
}
] | x**3 - 4*x | math |
trans_integrations_train_0936 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -3*x**2/2 + 3*x | math |
trans_integrations_train_0937 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(1((2x - 2)/(2x + 1)) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -3*log(2*x + 1)/2 | math |
trans_integrations_train_0938 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (2x - 2)/(-1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -2*x - 4*log(x - 3) | math |
trans_integrations_train_0939 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -3((-3(-2x^2 + 5x + 3))/(1(-2x^2 + 5x + 3) + 3)) - 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}"
}
] | 5*x - 27*sqrt(73)*log(x - 5/4 + sqrt(73)/4)/73 + 27*sqrt(73)*log(x - sqrt(73)/4 - 5/4)/73 | math |
trans_integrations_train_0940 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-2(3x + 3))/(-3(3x + 3) + 4) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2*x/3 + 8*log(9*x + 5)/27 | math |
trans_integrations_train_0941 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-2x - 1)/(-1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2*x + 5*log(x - 2) | math |
trans_integrations_train_0942 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -2(-3(-1x^2 - 1x - 3)^2 + 3(-1x^2 - 1x - 3) - 2)^2 + 5(-3(-1x^2 - 1x - 3)^2 + 3(-1x^2 - 1x - 3) - 2) - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -2*x**9 - 9*x**8 - 360*x**7/7 - 138*x**6 - 2127*x**5/5 - 1479*x**4/2 - 1550*x**3 - 3297*x**2/2 - 3080*x | math |
trans_integrations_train_0943 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 2(-2(4x - 4)^2 - 4(4x - 4) + 3) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -64*x**3/3 + 48*x**2 - 25*x | math |
trans_integrations_train_0944 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-3(4x - 5) + 2)/(3(4x - 5) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -x | math |
trans_integrations_train_0945 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(-3x + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -3*x**2/2 + 5*x | math |
trans_integrations_train_0946 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (2(2((-2x + 2)/(3x + 1))^2 + 3((-2x + 2)/(3x + 1)) + 2) + 1)/(2(2((-2x + 2)/(3x + 1))^2 + 3((-2x + 2)/(3x + 1)) + 2) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent t... | -25*x/11 - (96/121 - 736*sqrt(5)/605)*log(x + 1/11 + 8*sqrt(5)/11) - (96/121 + 736*sqrt(5)/605)*log(x - 8*sqrt(5)/11 + 1/11) | math |
trans_integrations_train_0947 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -1(-3x - 1)^2 + 5(-3x - 1) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -3*x**3 - 21*x**2/2 - 8*x | math |
trans_integrations_train_0948 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (1(4x - 4) - 2)/(-3(4x - 4) + 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}"
}
] | -x/3 + log(3*x - 4)/18 | math |
trans_integrations_train_0949 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (2(-1x^2 - 5x + 1) - 1)/(2(-1x^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}"
}
] | x - sqrt(31)*log(x + 5/2 + sqrt(31)/2)/31 + sqrt(31)*log(x - sqrt(31)/2 + 5/2)/31 | math |
trans_integrations_train_0950 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | x + log(2*x - 1)/2 | math |
trans_integrations_train_0951 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 5(3x - 1)^2 + 2(3x - 1) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15*x**3 - 12*x**2 - x | math |
trans_integrations_train_0952 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 5((2((-2x + 2)/(-2x + 3)) - 1)/(-2((-2x + 2)/(-2x + 3)) + 3))^2 + 4((2((-2x + 2)/(-2x + 3)) - 1)/(-2((-2x + 2)/(-2x + 3)) + 3)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 11*x + 28*log(2*x - 5) - 40/(2*x - 5) | math |
trans_integrations_train_0953 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(1((2(-3x - 1) - 1)/(-2(-3x - 1)))^2 + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6*x + log(3*x + 1)/3 - 1/(36*x + 12) | math |
trans_integrations_train_0954 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 3x^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}"
}
] | x**3 + 3*x**2/2 - 5*x | math |
trans_integrations_train_0955 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 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}"
}
] | -3*x | math |
trans_integrations_train_0956 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 2x - 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}"
}
] | x**2 - 2*x | math |
trans_integrations_train_0957 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((2x)/(1x + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2*x - 4*log(x + 2) | math |
trans_integrations_train_0958 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 5(4x - 5)^2 + 1(4x - 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 answer}"
}
] | 80*x**3/3 - 98*x**2 + 115*x | math |
trans_integrations_train_0959 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(1(1((3x + 2)/(1x - 3)) + 1) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x + 11*log(x - 3) | math |
trans_integrations_train_0960 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 2(1x^2 - 1)^2 - 1(1x^2 - 1) + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2*x**5/5 - 5*x**3/3 + 7*x | math |
trans_integrations_train_0961 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -5((2((1x + 2)/(-1x - 2)) + 2)/(1((1x + 2)/(-1x - 2))))^2 + 5((2((1x + 2)/(-1x - 2)) + 2)/(1((1x + 2)/(-1x - 2)))) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4*x | math |
trans_integrations_train_0962 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 1(-5x^2 - 4)^2 - 3(-5x^2 - 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}"
}
] | 5*x**5 + 55*x**3/3 + 33*x | math |
trans_integrations_train_0963 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -1x^2 - 5x with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -x**3/3 - 5*x**2/2 | math |
trans_integrations_train_0964 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(3x - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3*x**2/2 - 3*x | math |
trans_integrations_train_0965 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 4(2e^(2(5x - 2)) + 1) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9*x + 4*exp(10*x - 4)/5 | math |
trans_integrations_train_0966 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(-3(-4(-5x^2 - 4x - 5)^2 - 1(-5x^2 - 4x - 5) - 2)^2 + 5(-4(-5x^2 - 4x - 5)^2 - 1(-5x^2 - 4x - 5) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -10000*x**9/3 - 12000*x**8 - 232200*x**7/7 - 57040*x**6 - 409703*x**5/5 - 84086*x**4 - 225041*x**3/3 - 45786*x**2 - 28712*x | math |
trans_integrations_train_0967 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-3(2sin(2π(1x + 1) - 2) - 2) - 2)/(1(2sin(2π(1x + 1) - 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}"
}
... | -3*x + 7*sqrt(3)*log(tan(pi*x - 1) - sqrt(3) + 2)/(6*pi) - 7*sqrt(3)*log(tan(pi*x - 1) + sqrt(3) + 2)/(6*pi) | math |
trans_integrations_train_0968 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(-1((3x + 2)/(2x - 3)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x/2 - 13*log(2*x - 3)/4 | math |
trans_integrations_train_0969 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (1(1(2x + 2)^2 + 2(2x + 2)) - 2)/(1(1(2x + 2)^2 + 2(2x + 2))). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x - log(x + 1)/2 + log(x + 2)/2 | math |
trans_integrations_train_0970 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (2(4((3x - 3)/(-2x + 3)) - 3) + 2)/(-3(4((3x - 3)/(-2x + 3)) - 3) + 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}"
... | -16*x/31 - 42*log(62*x - 75)/961 | math |
trans_integrations_train_0971 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((-1(-4x - 5))/(-2(-4x - 5) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x/2 + 3*log(8*x + 7)/16 | math |
trans_integrations_train_0972 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 1x^2 + 5x - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**3/3 + 5*x**2/2 - x | math |
trans_integrations_train_0973 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-2((-2x)/(1x)) - 3)/(-3((-2x)/(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}"
}
] | x/8 | math |
trans_integrations_train_0974 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | 4*x**3/3 - 3*x**2/2 | math |
trans_integrations_train_0975 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 3)/(-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}"
}
] | 2*x/3 - log(3*x - 4)/9 | math |
trans_integrations_train_0976 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 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}"
}
] | x**3/3 - 5*x**2/2 + 4*x | math |
trans_integrations_train_0977 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((2(-4x^2 + 3x + 4) + 3)/(-1(-4x^2 + 3x + 4) + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -2*x - 7*sqrt(41)*log(x - 3/8 + sqrt(41)/8)/41 + 7*sqrt(41)*log(x - sqrt(41)/8 - 3/8)/41 | math |
trans_integrations_train_0978 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (2x)/(-1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -2*x - 4*log(x - 2) | math |
trans_integrations_train_0979 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(2x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**2 - 4*x | math |
trans_integrations_train_0980 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 3(-1(-5x^2 + 3x + 2)^2 - 3(-5x^2 + 3x + 2) + 1) + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -15*x**5 + 45*x**4/2 + 26*x**3 - 63*x**2/2 - 22*x | math |
trans_integrations_train_0981 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -5x + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -5*x**2/2 + 4*x | math |
trans_integrations_train_0982 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(3(-1(-3x + 2) - 5)^2 - 4(-1(-3x + 2) - 5) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9*x**3 - 69*x**2 + 177*x | math |
trans_integrations_train_0983 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 3(-3e^(1(5x + 5)) + 2)^2 - 4(-3e^(1(5x + 5)) + 2) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7*x - 24*exp(5*x + 5)/5 + 27*exp(10*x + 10)/10 | math |
trans_integrations_train_0984 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-2x)/(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}"
}
] | -2*x/3 - 2*log(3*x - 1)/9 | math |
trans_integrations_train_0985 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -3e^(1(4x^2 + 5x + 4)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3*x - 3*sqrt(pi)*exp(39/16)*erfi(2*x + 5/4)/4 | math |
trans_integrations_train_0986 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (3x - 3)/(2x - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3*x/2 - 3*log(2*x - 1)/4 | math |
trans_integrations_train_0987 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 3)/(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}"
}
] | -x + 5*log(x + 2) | math |
trans_integrations_train_0988 | trans_integrations | null | [
{
"role": "user",
"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}"
}
] | -x**2/2 + 2*x | math |
trans_integrations_train_0989 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -3x + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -3*x**2/2 + x | math |
trans_integrations_train_0990 | trans_integrations | null | [
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 3x^2 + 5x + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x**3 + 5*x**2/2 + x | math |
trans_integrations_train_0991 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫((-2x + 2)/(-1x - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2*x - 8*log(x + 3) | math |
trans_integrations_train_0992 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (-1(-4((1x + 1)/(3x + 3)) - 1) + 1)/(2(-4((1x + 1)/(3x + 3)) - 1)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -5*x/7 | math |
trans_integrations_train_0993 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 2sin(1π(-5x + 5) + 3) - 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}"
}
] | -2*x + 2*cos(pi*(5 - 5*x) + 3)/(5*pi) | math |
trans_integrations_train_0994 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 1((-2x + 2)/(3x + 1)) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x/3 + 8*log(3*x + 1)/9 | math |
trans_integrations_train_0995 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 3x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 3*x**2/2 + 3*x | math |
trans_integrations_train_0996 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -5x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -5*x**2/2 | math |
trans_integrations_train_0997 | trans_integrations | null | [
{
"role": "user",
"content": "Determine ∫(5(1((3x + 1)/(-1x - 2))^2 - 5((3x + 1)/(-1x - 2)) - 3)^2 - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2204*x + (-61125*x**2 - 223875*x - 206375)/(3*x**3 + 18*x**2 + 36*x + 24) - 11550*log(x + 2) | math |
trans_integrations_train_0998 | trans_integrations | null | [
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 1)/(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}"
}
] | -x - 2*log(x - 3) | math |
trans_integrations_train_0999 | trans_integrations | null | [
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (1x - 2)/(1x). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | x - 2*log(x) | math |
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