Dataset Viewer
id
stringlengths 29
29
| setting_key
stringclasses 1
value | setting_name
stringclasses 0
values | messages
listlengths 1
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| ground_truth
stringlengths 1
3.09k
| dataset
stringclasses 1
value |
|---|---|---|---|---|---|
trans_integrations_train_0000
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 4(-1(5x^2 + 5x - 2) + 4) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-20*x**3/3 - 10*x**2 + 21*x
|
math
|
trans_integrations_train_0001
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
5*x**2/2 - 5*x
|
math
|
trans_integrations_train_0002
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 5x^2 + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5*x**3/3 + 5*x
|
math
|
trans_integrations_train_0003
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 4x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2*x**2 - 4*x
|
math
|
trans_integrations_train_0004
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((-2x - 1)/(-3x - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2*x/3 - log(3*x + 2)/9
|
math
|
trans_integrations_train_0005
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 + 1x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4*x**3/3 + x**2/2
|
math
|
trans_integrations_train_0006
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -5x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-5*x**2/2 + 4*x
|
math
|
trans_integrations_train_0007
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -2x^2 + 1x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x**3/3 + x**2/2
|
math
|
trans_integrations_train_0008
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(3(-1e^(-2x) + 2) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5*x + 3*exp(-2*x)/2
|
math
|
trans_integrations_train_0009
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -4(1(-3e^(1x) - 2) - 1)^2 + 5(1(-3e^(1x) - 2) - 1) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-46*x - 18*exp(2*x) - 87*exp(x)
|
math
|
trans_integrations_train_0010
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 + 2x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4*x**3/3 + x**2 - 3*x
|
math
|
trans_integrations_train_0011
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-1x - 3)/(2x + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x/2 - 3*log(2*x + 3)/4
|
math
|
trans_integrations_train_0012
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -2x - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**2 - 2*x
|
math
|
trans_integrations_train_0013
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(2(-2x + 1)^2 + 5(-2x + 1) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8*x**3/3 - 9*x**2 + 8*x
|
math
|
trans_integrations_train_0014
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x - 2*log(x)/3
|
math
|
trans_integrations_train_0015
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 3(4((2x - 1)/(2x))^2 + 5((2x - 1)/(2x)) - 1) + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
28*x - 39*log(x)/2 - 3/x
|
math
|
trans_integrations_train_0016
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
x**2/2 + 4*x
|
math
|
trans_integrations_train_0017
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(1x + 2) dx. 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_0018
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-3x + 2)/(-1x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*x - 2*log(x)
|
math
|
trans_integrations_train_0019
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 1x^2 + 4x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**3/3 + 2*x**2 + 5*x
|
math
|
trans_integrations_train_0020
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 2x^2 + 5x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2*x**3/3 + 5*x**2/2
|
math
|
trans_integrations_train_0021
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(-4((-3(-2x - 5) + 3)/(2(-2x - 5) - 1))^2 - 4((-3(-2x - 5) + 3)/(2(-2x - 5) - 1)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x - 3*log(4*x + 11) + 9/(16*x + 44)
|
math
|
trans_integrations_train_0022
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(-2x^2 - 1x) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x**3/3 - x**2/2
|
math
|
trans_integrations_train_0023
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
2*x/3 - 2*log(x)/3
|
math
|
trans_integrations_train_0024
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -1e^(1((-1((-2x - 2)/(-1x + 3)) - 3)/(-1((-2x - 2)/(-1x + 3)) - 3))) - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x*(-E - 2)
|
math
|
trans_integrations_train_0025
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-1x + 2)/(1x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x - log(x - 3)
|
math
|
trans_integrations_train_0026
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -4((-3(1x^2 - 5x) + 3)/(2(1x^2 - 5x) - 1)) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x + sqrt(3)*log(x - 5/2 + 3*sqrt(3)/2)/3 - sqrt(3)*log(x - 3*sqrt(3)/2 - 5/2)/3
|
math
|
trans_integrations_train_0027
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -1e^(2((2x)/(3x))) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x*(2 - exp(4/3))
|
math
|
trans_integrations_train_0028
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -3e^(1(-1x - 2)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*x + 3*exp(-x - 2)
|
math
|
trans_integrations_train_0029
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(1(4x^2 - 4x + 1)^2 + 2(4x^2 - 4x + 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16*x**5/5 - 8*x**4 + 32*x**3/3 - 8*x**2 + 3*x
|
math
|
trans_integrations_train_0030
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 4((3((-1x - 1)/(-3x - 1)) - 1)/(1((-1x - 1)/(-3x - 1)) - 3))^2 - 3((3((-1x - 1)/(-3x - 1)) - 1)/(1((-1x - 1)/(-3x - 1)) - 3)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*log(4*x + 1)/4 - 1/(4*x + 1)
|
math
|
trans_integrations_train_0031
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(3(1(-4x^2 - 5x + 5) - 1) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-4*x**3 - 15*x**2/2 + 11*x
|
math
|
trans_integrations_train_0032
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -5((3(-4x - 1) - 2)/(3(-4x - 1) - 2))^2 - 1((3(-4x - 1) - 2)/(3(-4x - 1) - 2)) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x
|
math
|
trans_integrations_train_0033
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(2x - 5) dx. 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_0034
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 1x + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**2/2 + 2*x
|
math
|
trans_integrations_train_0035
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
-x**2/2 + 4*x
|
math
|
trans_integrations_train_0036
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 3(1e^(-2x) - 3) - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-10*x - 3*exp(-2*x)/2
|
math
|
trans_integrations_train_0037
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-2(2x) + 1)/(1(2x) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x + 5*log(x + 1)/2
|
math
|
trans_integrations_train_0038
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -2(2(-1x - 1) + 2)^2 - 3(2(-1x - 1) + 2) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-8*x**3/3 + 3*x**2 + 3*x
|
math
|
trans_integrations_train_0039
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-3((1x + 3)/(3x + 1)) + 2)/(1((1x + 3)/(3x + 1)))? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*x - 16*log(x + 3)
|
math
|
trans_integrations_train_0040
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (3(5x - 3) - 1)/(1(5x - 3) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*x - 7*log(5*x - 1)/5
|
math
|
trans_integrations_train_0041
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -3(-2x + 3) - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*x**2 - 10*x
|
math
|
trans_integrations_train_0042
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (2x - 3)/(-1x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x + 5*log(x + 1)
|
math
|
trans_integrations_train_0043
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -1x^2 + 5x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**3/3 + 5*x**2/2 + 5*x
|
math
|
trans_integrations_train_0044
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2*x**3/3 + 5*x
|
math
|
trans_integrations_train_0045
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (3(-2(-4x + 3)))/(-3(-2(-4x + 3)) - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x + log(8*x - 5)/8
|
math
|
trans_integrations_train_0046
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
2*x/3 - 13*log(3*x + 2)/9
|
math
|
trans_integrations_train_0047
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (-1(1(5x^2 + 5x + 4) - 3))/(2(1(5x^2 + 5x + 4) - 3) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x/2 - sqrt(15)*log(x - sqrt(15)/10 + 1/2)/60 + sqrt(15)*log(x + sqrt(15)/10 + 1/2)/60
|
math
|
trans_integrations_train_0048
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 2(-5x - 3) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-5*x**2 - 10*x
|
math
|
trans_integrations_train_0049
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -2x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**2 - 4*x
|
math
|
trans_integrations_train_0050
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -1x + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**2/2 + 3*x
|
math
|
trans_integrations_train_0051
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 3((2x - 2)/(3x + 2))^2 + 5((2x - 2)/(3x + 2)) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17*x/3 - 10*log(3*x + 2) - 100/(27*x + 18)
|
math
|
trans_integrations_train_0052
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -1x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**2/2 + 5*x
|
math
|
trans_integrations_train_0053
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(4x^2 + 1x + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4*x**3/3 + x**2/2 + 3*x
|
math
|
trans_integrations_train_0054
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -3x - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-3*x**2/2 - 2*x
|
math
|
trans_integrations_train_0055
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -3(-5(5x + 5)^2 + 1)^2 + 1(-5(5x + 5)^2 + 1) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-9375*x**5 - 46875*x**4 - 280625*x**3/3 - 93125*x**2 - 46255*x
|
math
|
trans_integrations_train_0056
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 4((-1x + 2)/(3x - 1)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-13*x/3 + 20*log(3*x - 1)/9
|
math
|
trans_integrations_train_0057
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((3x + 1)/(-3x + 4)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x - 5*log(3*x - 4)/3
|
math
|
trans_integrations_train_0058
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(-1x^2 - 5x - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**3/3 - 5*x**2/2 - 2*x
|
math
|
trans_integrations_train_0059
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
-4*x**3/3 - 3*x**2/2 + 2*x
|
math
|
trans_integrations_train_0060
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(3x^2 - 3x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**3 - 3*x**2/2 - 4*x
|
math
|
trans_integrations_train_0061
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (-1(-2x^2 + 4x - 1) - 2)/(1(-2x^2 + 4x - 1)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x + sqrt(2)*log(x - 1 - sqrt(2)/2)/2 - sqrt(2)*log(x - 1 + sqrt(2)/2)/2
|
math
|
trans_integrations_train_0062
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (3(-3e^(2x) - 2) + 3)/(-2(-3e^(2x) - 2) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-3*x/7 - 15*log(exp(2*x) + 7/6)/28
|
math
|
trans_integrations_train_0063
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(-1(1e^(-1x) - 1) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x + exp(-x)
|
math
|
trans_integrations_train_0064
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = (2x + 3)/(-3x + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x/3 - 11*log(3*x - 1)/9
|
math
|
trans_integrations_train_0065
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = -2x + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**2 + x
|
math
|
trans_integrations_train_0066
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -3x^2 + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**3 + 2*x
|
math
|
trans_integrations_train_0067
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (2x + 2)/(-2x + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x - 5*log(2*x - 3)/2
|
math
|
trans_integrations_train_0068
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = -1x^2 + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**3/3 + 5*x
|
math
|
trans_integrations_train_0069
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 - 5x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4*x**3/3 - 5*x**2/2 - 3*x
|
math
|
trans_integrations_train_0070
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 5(1x^2 + 1x + 5)^2 + 2(1x^2 + 1x + 5) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**5 + 5*x**4/2 + 19*x**3 + 26*x**2 + 134*x
|
math
|
trans_integrations_train_0071
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 1x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**2/2 + 4*x
|
math
|
trans_integrations_train_0072
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (1x - 3)/(1x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x
|
math
|
trans_integrations_train_0073
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -1x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x**2/2 - 5*x
|
math
|
trans_integrations_train_0074
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(5((3x - 2)/(-2x + 1)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-11*x/2 + 5*log(2*x - 1)/4
|
math
|
trans_integrations_train_0075
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((-3(-3((3x - 3)/(-3x)) + 2) - 2)/(2(-3((3x - 3)/(-3x)) + 2) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-17*x/7 - 39*log(7*x - 6)/49
|
math
|
trans_integrations_train_0076
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 1x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**2/2 + 3*x
|
math
|
trans_integrations_train_0077
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((1(-4x^2 + 4x - 1) - 2)/(-2(-4x^2 + 4x - 1))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x/2 + 1/(4*x - 2)
|
math
|
trans_integrations_train_0078
|
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_0079
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(-4x + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x**2 + 4*x
|
math
|
trans_integrations_train_0080
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = 3(3(-1x^2 - 1x - 2) + 1) + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-3*x**3 - 9*x**2/2 - 12*x
|
math
|
trans_integrations_train_0081
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 2(-3e^(-1x) + 3)^2 + 4(-3e^(-1x) + 3) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
35*x + 48*exp(-x) - 9*exp(-2*x)
|
math
|
trans_integrations_train_0082
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(-1((3x - 3)/(2x - 1))^2 - 4((3x - 3)/(2x - 1)) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-17*x/4 + 21*log(2*x - 1)/4 + 9/(16*x - 8)
|
math
|
trans_integrations_train_0083
|
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_0084
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -2x^2 + 1x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x**3/3 + x**2/2 - x
|
math
|
trans_integrations_train_0085
|
trans_integrations
| null |
[
{
"role": "user",
"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}"
}
] |
-x**2/2 + 2*x
|
math
|
trans_integrations_train_0086
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(4x^2 + 1x - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4*x**3/3 + x**2/2 - 3*x
|
math
|
trans_integrations_train_0087
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = (-2(4(1x^2 - 1x - 5) + 4) + 1)/(3(4(1x^2 - 1x - 5) + 4) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2*x/3 - sqrt(3)*log(x - 1/2 + 7*sqrt(3)/6)/36 + sqrt(3)*log(x - 7*sqrt(3)/6 - 1/2)/36
|
math
|
trans_integrations_train_0088
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(-2x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3*x/2 + log(x)
|
math
|
trans_integrations_train_0089
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(4x + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2*x**2 + 5*x
|
math
|
trans_integrations_train_0090
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((-2x + 3)/(-1x + 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2*x + 3*log(x - 3)
|
math
|
trans_integrations_train_0091
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 1x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x**2/2 - 4*x
|
math
|
trans_integrations_train_0092
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Find the indefinite integral of f(x) = 4(1e^(-1x) - 1)^2 + 4(1e^(-1x) - 1) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-4*x + 4*exp(-x) - 2*exp(-2*x)
|
math
|
trans_integrations_train_0093
|
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_0094
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -2(-4(-4x^2 - 2x)^2 + 1(-4x^2 - 2x) - 4)^2 - 2(-4(-4x^2 - 2x)^2 + 1(-4x^2 - 2x) - 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-8192*x**9/9 - 2048*x**8 - 13312*x**7/7 - 2816*x**6/3 - 2208*x**5/5 - 264*x**4 - 96*x**3 - 14*x**2 - 24*x
|
math
|
trans_integrations_train_0095
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((-1x - 3)/(2x - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-x/2 - 7*log(2*x - 1)/4
|
math
|
trans_integrations_train_0096
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Compute the indefinite integral for f(x) = 5x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5*x**2/2 + 2*x
|
math
|
trans_integrations_train_0097
|
trans_integrations
| null |
[
{
"role": "user",
"content": "What is the symbolic antiderivative of the function f(x) = -3(2(4x^2 - 3x + 3)^2 + 5(4x^2 - 3x + 3) + 2)^2 - 5(2(4x^2 - 3x + 3)^2 + 5(4x^2 - 3x + 3) + 2) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-1024*x**9/3 + 1152*x**8 - 23424*x**7/7 + 5760*x**6 - 43756*x**5/5 + 9159*x**4 - 26293*x**3/3 + 10965*x**2/2 - 3854*x
|
math
|
trans_integrations_train_0098
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫(5((-1(-3e^(1x)) - 2)/(-3(-3e^(1x)) + 2))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-5*x + 20*log(exp(x) + 2/9)/3
|
math
|
trans_integrations_train_0099
|
trans_integrations
| null |
[
{
"role": "user",
"content": "Determine ∫((3x - 2)/(3x - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
x
|
math
|
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