| {"messages": [{"content": "Find the indefinite integral of f(x) = 3x - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -1x + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(2x + 5)^2 + 2(2x + 5) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 + 12*x**2 + 31*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 1x + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(-5(-3x - 1) - 1) - 1)/(2(-5(-3x - 1) - 1) - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - log(30*x + 7)/15", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((2(1cos(3\u03c0((2x)/(-3x + 4)) - 1) - 2) - 3)/(2(1cos(3\u03c0((2x)/(-3x + 4)) - 1) - 2) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 3(-1x^2 + 5x - 5)^2 - 5(-1x^2 + 5x - 5) + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**5/5 - 15*x**4/2 + 110*x**3/3 - 175*x**2/2 + 105*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**2/2 - 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(2(3(-4x^2 - 4x + 1)^2 + 3(-4x^2 - 4x + 1) - 4) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96*x**5/5 + 48*x**4 + 8*x**3 - 36*x**2 + 8*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 1x^2 - 2x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - x**2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"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"}], "ground_truth": "-3*x**2/2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(-5x + 5)^2 + 1(-5x + 5) - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25*x**3/3 - 55*x**2/2 + 28*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(4x - 2)^2 + 2(4x - 2) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64*x**3/3 + 36*x**2 - 21*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x - 3)/(3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - log(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 3x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - 3*x**2/2 - 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4(1x^2 + 5x + 5) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 + 10*x**2 + 24*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -5x^2 - 3x + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**3/3 - 3*x**2/2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(-5(1e^(-1x) - 1)^2 + 4(1e^(-1x) - 1) + 5)^2 - 5(-5(1e^(-1x) - 1)^2 + 4(1e^(-1x) - 1) + 5) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55*x - 490*exp(-x) + 1155*exp(-2*x)/2 - 700*exp(-3*x)/3 + 125*exp(-4*x)/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 2x^2 + 4x + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 + 2*x**2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (2x - 2)/(1x) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x - 2*log(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4x - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(5(-3(-3x - 2) - 2)^2 - 1(-3(-3x - 2) - 2) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135*x**3 + 351*x**2/2 + 72*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(3x - 4) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x**2/2 - 7*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^2 + 1x - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 + x**2/2 - 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 2)/(3x + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/3 + 8*log(3*x + 2)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 2(1x - 5)^2 - 4(1x - 5) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 - 12*x**2 + 73*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-1(3(-1x^2 + 1x - 1)^2 - 5(-1x^2 + 1x - 1) - 2) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**5/5 + 3*x**4/2 - 14*x**3/3 + 11*x**2/2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3(-1(-3x^2 + 3x - 3) - 2) + 1)/(-1(-1(-3x^2 + 3x - 3) - 2) - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - 20*sqrt(39)*atan(2*sqrt(39)*x/13 - sqrt(39)/13)/39", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4x^2 - 3x + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 - 3*x**2/2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1x^2 + 3x) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 + 3*x**2/2", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3(3x - 3) - 3)/(3(3x - 3) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - log(9*x - 7)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x - 1)/(3x - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x/3 - 7*log(3*x - 2)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x + 2)/(-1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - 5*log(x - 3)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(5((2(-5x^2 - 4x - 3) - 2)/(3(-5x^2 - 4x - 3) - 2))^2 + 1((2(-5x^2 - 4x - 3) - 2)/(3(-5x^2 - 4x - 3) - 2)) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10*x/9 - (-50*x - 20)/(5805*x**2 + 4644*x + 4257) + 676*sqrt(129)*atan(5*sqrt(129)*x/43 + 2*sqrt(129)/43)/16641", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4x^2 - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 3x^2 + 2x - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 + x**2 - 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -4x^2 + 3x - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 + 3*x**2/2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-2x + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2 + 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 3(-2(-1x^2 - 5x + 4)^2 - 4(-1x^2 - 5x + 4) + 2)^2 + 4(-2(-1x^2 - 5x + 4)^2 - 4(-1x^2 - 5x + 4) + 2) + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**9/3 + 30*x**8 + 1560*x**7/7 + 400*x**6 - 8756*x**5/5 - 3140*x**4 + 12720*x**3 - 13600*x**2 + 6168*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((1(1e^(-1x) + 2) - 1)/(2(1e^(-1x) + 2) + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/6 - log(3 + exp(-x))/3", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -5x - 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2 - 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-2((3x + 2)/(2x)) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x - 2*log(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(3cos(2\u03c0x + 2) + 2) + 1)/(2(3cos(2\u03c0x + 2) + 2) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-5(-5x^2 + 4x + 3)^2 + 1(-5x^2 + 4x + 3) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25*x**5 + 50*x**4 + 65*x**3/3 - 58*x**2 - 44*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3x - 3)/(-3x + 4). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + 7*log(3*x - 4)/3", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 - 5x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 - 5*x**2/2 + 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 - 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1(1x^2 + 3x - 2)^2 + 1(1x^2 + 3x - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**5/5 + 3*x**4/2 + 2*x**3 - 9*x**2/2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -3x^2 - 3x - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3 - 3*x**2/2 - 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2(-4(4x + 4)^2 - 3(4x + 4) + 2) - 1)/(2(-4(4x + 4)^2 - 3(4x + 4) + 2) + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + sqrt(57)*log(x - sqrt(57)/32 + 35/32)/152 - sqrt(57)*log(x + sqrt(57)/32 + 35/32)/152", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 4x + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -3((-2x - 2)/(2x - 3)) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + 15*log(2*x - 3)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-2x^2 + 5x + 3) - 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8*x**3/3 + 10*x**2 + 7*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 2x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-1((-2x + 2)/(1x))^2 + 5((-2x + 2)/(1x)) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13*x + 18*log(x) + 4/x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(1(-2x - 1)) + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (-3x)/(3x + 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + log(3*x + 1)/3", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 4x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - 2*x**2 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -5x - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -2((3x - 1)/(2x + 2)) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + 4*log(x + 1)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((2(1sin(1\u03c0x - 3) + 3) + 2)/(-3(1sin(1\u03c0x - 3) + 3) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x/3", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2((-2(-3x^2 + 4x - 1) - 1)/(3(-3x^2 + 4x - 1) + 2)))/(-3((-2(-3x^2 + 4x - 1) - 1)/(3(-3x^2 + 4x - 1) + 2)) - 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3 - 8*x**2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x + 3)/(2x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + 3*log(x)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1(4x^2 - 5x - 5) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 - 5*x**2/2 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4(-1x + 4)^2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 + 16*x**2 - 64*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (-3x - 3)/(2x - 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2 - 9*log(2*x - 1)/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (3x + 1)/(-1x + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x - 10*log(x - 3)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(5x^2 - 2x - 1)^2 - 3(5x^2 - 2x - 1) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**5 + 5*x**4 - 3*x**3 + x**2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 - 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 4((-3(-3x - 2) + 1)/(-1(-3x - 2) + 2)) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11*x - 20*log(3*x + 4)/3", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4((-3x - 3)/(-2x - 1))^2 - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x + 9*log(2*x + 1) - 9/(4*x + 2)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3((-2(3x^2 + 2x + 1) - 2)/(2(3x^2 + 2x + 1) + 1)) + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - 3*sqrt(14)*atan(3*sqrt(14)*x/7 + sqrt(14)/7)/14", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -5x^2 + 5x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**3/3 + 5*x**2/2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -1((1((-3x - 3)/(-1x - 3)) - 2)/(-1((-3x - 3)/(-1x - 3)) + 3))^2 + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/108 + x**2/12 + 11*x/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2((-1((1x)/(1x)) + 3)/(2((1x)/(1x)) - 1)) + 2)/(-3((-1((1x)/(1x)) + 3)/(2((1x)/(1x)) - 1)) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 3x - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 - 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 4((3x - 3)/(-2x + 3)) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7*x - 3*log(2*x - 3)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 3((3x + 2)/(3x - 1)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x + 3*log(3*x - 1)", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (1x)/(-1x - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + 2*log(x + 2)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -1x^2 - 4x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/3 - 2*x**2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3((-2((1x + 1)/(2x)) + 1)/(3((1x + 1)/(2x)) + 3)) - 3)/(1((-2((1x + 1)/(2x)) + 1)/(3((1x + 1)/(2x)) + 3))). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27*x**2/4 + 3*x/2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-5((-1x + 3)/(-3x - 3)) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x/3 + 20*log(x + 1)/3", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-2x + 1)/(-1x + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + 3*log(x - 2)", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x - 3)/(-3x) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 + log(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3x + 3)/(-3x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1x + 3)/(2x + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 + 7*log(2*x + 1)/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-1x + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -2(3x^2 + 1x - 5)^2 - 2(3x^2 + 1x - 5) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18*x**5/5 - 3*x**4 + 52*x**3/3 + 9*x**2 - 35*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (2(-4((1x - 1)/(-1x + 2)) + 4) + 3)/(-3(-4((1x - 1)/(-1x + 2)) + 4) + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19*x/23 + 44*log(23*x - 34)/529", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -2(-2x^2 - 5x - 5) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 + 5*x**2 + 6*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-3x + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1((-3x - 3)/(3x + 1)))/(-2((-3x - 3)/(3x + 1)) + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 + 2*log(9*x + 7)/27", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 1x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - x**2/2 + 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -1x - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-1x) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 - 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1x)/(-3x + 4). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 + 4*log(3*x - 4)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4(-2x - 5) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**2 - 21*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 1x + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 + x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1((-2x + 1)/(1x))^2 - 4((-2x + 1)/(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"}], "ground_truth": "2*x + 1/x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x^2 - 1x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 - x**2/2 - 4*x", "dataset": "MATH"} | |
| {"messages": [{"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"}], "ground_truth": "3*x**2/2 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(4x) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 5(-1(-1x^2 - 5x + 1)^2 - 4(-1x^2 - 5x + 1) - 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"}], "ground_truth": "-x**5 - 25*x**4/2 - 95*x**3/3 + 75*x**2 - 43*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (2x - 2)/(-2x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + 5*log(2*x + 3)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1((-3(2x^2 + 1x + 1) + 2)/(-1(2x^2 + 1x + 1)))^2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x + (16*x + 4)/(14*x**2 + 7*x + 7) - 136*sqrt(7)*atan(4*sqrt(7)*x/7 + sqrt(7)/7)/49", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 4(-5x^2 - 3x - 3) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20*x**3/3 - 6*x**2 - 8*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (2(5x))/(-2(5x) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - 3*log(10*x - 3)/10", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-1x - 1)/(2x - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 - 3*log(2*x - 1)/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 - 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(2x - 4)^2 - 3(2x - 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}", "role": "user"}], "ground_truth": "20*x**3/3 - 43*x**2 + 88*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(2(-4(-2x^2 + 1x - 4)^2 + 4(-2x^2 + 1x - 4) + 4)^2 + 2(-4(-2x^2 + 1x - 4)^2 + 4(-2x^2 + 1x - 4) + 4)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512*x**9/9 - 128*x**8 + 768*x**7 - 3584*x**6/3 + 18688*x**5/5 - 3944*x**4 + 25544*x**3/3 - 5436*x**2 + 11400*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -5x + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(2(2x - 1) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 - 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-2x - 2)/(-3x + 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 + 8*log(3*x - 1)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 2x + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2 + 3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3(1(-2e^(-1x) + 3) + 2) + 1)/(-1(1(-2e^(-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"}], "ground_truth": "-16*x/7 + 5*log(-7/2 + exp(-x))/7", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(-1e^(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"}], "ground_truth": "5*x - 5*exp(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(5((1((-2x + 2)/(-3x - 1)) - 3)/(1((-2x + 2)/(-3x - 1)))) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33*x/2 - 30*log(x - 1)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(4((2x)/(-3x - 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}", "role": "user"}], "ground_truth": "100*x/3 - 40*log(x + 1)/3", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((3(1cos(2\u03c0x - 1) - 2) - 1)/(-3(1cos(2\u03c0x - 1) - 2) + 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -5((2x)/(1x))^2 - 1((2x)/(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"}], "ground_truth": "-21*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1(-3x) + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-5x^2 - 5x - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**3/3 - 5*x**2/2 - 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-2((3x + 3)/(3x - 1)) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x - 8*log(3*x - 1)/3", "dataset": "MATH"} | |
| {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 - 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-5(1sin(1\u03c0(-4x) + 2) - 1) + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10*x - 5*cos(4*pi*x - 2)/(4*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(1(-4x - 5)^2 - 4(-4x - 5))^2 - 2(1(-4x - 5)^2 - 4(-4x - 5)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256*x**5/5 - 448*x**4 - 1536*x**3 - 2576*x**2 - 2113*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 4(3(1e^(1x) + 1)^2 - 1(1e^(1x) + 1) - 3)^2 + 5(3(1e^(1x) + 1)^2 - 1(1e^(1x) + 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"}], "ground_truth": "x + 9*exp(4*x) + 40*exp(3*x) + 91*exp(2*x)/2 - 15*exp(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 5(-3e^(1x) + 2)^2 + 5(-3e^(1x) + 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"}], "ground_truth": "26*x + 45*exp(2*x)/2 - 75*exp(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -2(4(1x - 1)^2 + 1(1x - 1) + 1)^2 + 2(4(1x - 1)^2 + 1(1x - 1) + 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"}], "ground_truth": "-32*x**5/5 + 28*x**4 - 154*x**3/3 + 49*x**2 - 27*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 2(-1x^2 - 1x)^2 + 1(-1x^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"}], "ground_truth": "2*x**5/5 + x**4 + x**3/3 - x**2/2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(-1(-5x - 4) - 3)^2 - 1(-1(-5x - 4) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125*x**3/3 - 55*x**2/2 - 6*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((3x + 2)/(-2x - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2 + 5*log(2*x + 3)/4", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-2((1(-1x + 3) + 1)/(2(-1x + 3))) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x + log(x - 3)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (3(4(-4x + 3) - 3) - 2)/(-2(4(-4x + 3) - 3) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2 + 5*log(32*x - 15)/64", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(1x^2 - 1x + 2) + 2)/(2(1x^2 - 1x + 2) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 + 3*sqrt(5)*atan(2*sqrt(5)*x/5 - sqrt(5)/5)/10", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (3x + 2)/(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"}], "ground_truth": "3*x - log(x + 1)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(-3e^(1(4x - 2)) + 3) - 1)/(-1(-3e^(1(4x - 2)) + 3) - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 - log(exp(4*x - 2) - 4/3)/8", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(-3((2x + 3)/(1x))^2 + 3((2x + 3)/(1x))) + 2)/(1(-3((2x + 3)/(1x))^2 + 3((2x + 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"}], "ground_truth": "-14*x/9 - 2*log(x**2 + 3*x + 3)/3 + 4*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3))/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-3(-3(3e^(1x) - 1)^2 - 2(3e^(1x) - 1) + 5))/(2(-3(3e^(1x) - 1)^2 - 2(3e^(1x) - 1) + 5) - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12*x/7 + RootSum(3248*_z**2 - 696*_z + 27, Lambda(_i, _i*log(203*_i/27 + exp(x) - 37/36)))", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 1(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}", "role": "user"}], "ground_truth": "x**3/3 + x**2 + x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -1e^(2(-3x^2 - 3x - 4)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x - sqrt(6)*sqrt(pi)*exp(-13/2)*erf(sqrt(6)*(12*x + 6)/12)/12", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1((2x + 1)/(-2x - 2)) + 3)/(-1((2x + 1)/(-2x - 2)) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**2 - 7*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1x - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(-4((-1x + 1)/(3x))^2 + 4((-1x + 1)/(3x)) + 1) - 3)/(1(-4((-1x + 1)/(3x))^2 + 4((-1x + 1)/(3x)) + 1)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20*x/7 + (270/49 + 387*sqrt(2)/98)*log(x - 10/7 - 6*sqrt(2)/7) + (270/49 - 387*sqrt(2)/98)*log(x - 10/7 + 6*sqrt(2)/7)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3((3(-2e^(-1x) + 1) + 3)/(-2(-2e^(-1x) + 1) + 3)) + 2)/(2((3(-2e^(-1x) + 1) + 3)/(-2(-2e^(-1x) + 1) + 3)) + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16*x/13 + 105*log(-13/8 + exp(-x))/52", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3e^(2(1(-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"}], "ground_truth": "2*x - 3*exp(-2*x)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(3e^(2(-1x^2 - 3)))^2 - 4(3e^(2(-1x^2 - 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}", "role": "user"}], "ground_truth": "2*x + 45*sqrt(pi)*exp(-12)*erf(2*x)/4 - 3*sqrt(2)*sqrt(pi)*exp(-6)*erf(sqrt(2)*x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 1x^2 - 4x + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - 2*x**2 + 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(-1x + 3))/(-1(-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"}], "ground_truth": "-x + 3*log(x)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2sin(2\u03c0(-1x - 1) - 1) - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + cos(2*pi*(-x - 1) - 1)/pi", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(-3cos(1\u03c0(2x - 5)) - 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"}], "ground_truth": "-3*x - 3*sin(pi*(2*x - 5))/(2*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3sin(2\u03c0(3(-5x + 1)) - 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"}], "ground_truth": "x - cos(2*pi*(3 - 15*x) - 2)/(10*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -1cos(2\u03c0(3x - 4) - 2) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x - sin(2*pi*(3*x - 4) - 2)/(6*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3cos(1\u03c0(4x - 2) + 2) + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x + 3*sin(pi*(4*x - 2) + 2)/(4*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2sin(3\u03c0(3(3x - 4) + 5) - 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"}], "ground_truth": "3*x + 2*cos(3*pi*(9*x - 7) - 1)/(27*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(-1sin(1\u03c0(-4x - 2) - 1) - 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}", "role": "user"}], "ground_truth": "6*x + cos(pi*(-4*x - 2) - 1)/(4*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 2sin(1\u03c0(3x + 3)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x - 2*cos(pi*(3*x + 3))/(3*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(5(-1cos(2\u03c0(5x + 4)) + 1) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x - sin(pi*(10*x + 8))/(2*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-3((-2(3x^2 - 1x + 4) - 1)/(-2(3x^2 - 1x + 4))) - 3)/(-3((-2(3x^2 - 1x + 4) - 1)/(-2(3x^2 - 1x + 4))) + 4)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6*x - 21*sqrt(29)*atan(6*sqrt(29)*x/29 - sqrt(29)/29)/29", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2(-1e^(1(1x - 5)) + 1))/(-2(-1e^(1(1x - 5)) + 1) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2 + log(exp(x - 5) - 2)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1x^2 + 4x - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 + 2*x**2 - x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^2 - 3x + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 - 3*x**2/2 + 4*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(2(-1x + 5) - 5))/(-3(2(-1x + 5) - 5) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 + 2*log(6*x - 17)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(-1sin(3\u03c0(-1x - 3) - 2) + 3) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20*x + 5*cos(3*pi*(-x - 3) - 2)/(3*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 + 5x - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 + 5*x**2/2 - 2*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3(1x + 5) - 2)/(1(1x + 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"}], "ground_truth": "3*x + 4*log(x + 3)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(-5((3x)/(3x + 3))^2 - 3((3x)/(3x + 3)))^2 + 4(-5((3x)/(3x + 3))^2 - 3((3x)/(3x + 3))) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293*x - (-3048*x**2 - 5316*x - 2368)/(3*x**3 + 9*x**2 + 9*x + 3) + 884*log(x + 1)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(3((2((-2x + 1)/(-2x - 1)) + 3)/(-1((-2x + 1)/(-2x - 1)) + 2))^2 + 3((2((-2x + 1)/(-2x - 1)) + 3)/(-1((-2x + 1)/(-2x - 1)) + 2)) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87*x - 231*log(2*x + 3) - 294/(2*x + 3)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4(-5(2x^2 - 1x + 5) + 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"}], "ground_truth": "80*x**5 - 100*x**4 + 1940*x**3/3 - 460*x**2 + 2121*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 3e^(1(-2x^2 + 3x + 2)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + 3*sqrt(2)*sqrt(pi)*exp(25/8)*erf(sqrt(2)*(4*x - 3)/4)/4", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4(-3e^(1(-1x + 5)) + 2)^2 - 1(-3e^(1(-1x + 5)) + 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"}], "ground_truth": "-19*x - 51*exp(5 - x) + 18*exp(10 - 2*x)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-1x - 2)/(3x + 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/3 - log(x + 1)/3", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = 1(-5((2x + 1)/(3x - 2))^2 - 4((2x + 1)/(3x - 2)) + 2)^2 - 4(-5((2x + 1)/(3x - 2))^2 - 4((2x + 1)/(3x - 2)) + 2) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1855*x/81 + (-1936872*x**2 + 2088576*x - 591577)/(19683*x**3 - 39366*x**2 + 26244*x - 5832) + 19712*log(3*x - 2)/243", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-1(4((1x - 2)/(-3x - 1)) - 1)^2 + 5(4((1x - 2)/(-3x - 1)) - 1) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172*x/9 + 812*log(3*x + 1)/27 + 784/(81*x + 27)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3x + 1)/(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}", "role": "user"}], "ground_truth": "3*x/2 - log(x + 1)", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = (1x + 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}", "role": "user"}], "ground_truth": "-x + log(x + 2)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(1cos(3\u03c0(-1x + 1) + 1) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - sin(3*pi*(1 - x) + 1)/(3*pi)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4(-2e^(-2(-4x - 1)) - 1)^2 - 2(-2e^(-2(-4x - 1)) - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x + 5*exp(8*x + 2)/2 + exp(16*x + 4)", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2(1e^(-2(-1x - 5)) - 1)^2 + 2(1e^(-2(-1x - 5)) - 1) + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 3*exp(2*x + 10) - exp(4*x + 20)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(1(2x^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"}], "ground_truth": "10*x**3/3 - 15*x**2/2 + 5*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2x)/(-3x - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - 4*log(3*x + 2)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-4((2(2x - 5) + 2)/(-1(2x - 5) - 1)) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((1(5x^2 + 3x - 1) + 3)/(-3(5x^2 + 3x - 1) - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/3 + 8*sqrt(201)*log(x + 3/10 + sqrt(201)/30)/603 - 8*sqrt(201)*log(x - sqrt(201)/30 + 3/10)/603", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(2(-1x^2 + 1x - 5) + 4) - 2)/(2(2(-1x^2 + 1x - 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"}], "ground_truth": "x/2 + sqrt(11)*atan(2*sqrt(11)*x/11 - sqrt(11)/11)/11", "dataset": "MATH"} | |
| {"messages": [{"content": "Find the indefinite integral of f(x) = -2((1x + 3)/(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"}], "ground_truth": "3*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((1(-5x + 2) + 1)/(-1(-5x + 2) - 1)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-2(-4(-5x - 1)) - 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20*x**2 - 13*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -4((-3x + 1)/(2x + 1))^2 - 1((-3x + 1)/(2x + 1)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11*x/2 + 55*log(2*x + 1)/4 + 25/(4*x + 2)", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-1x + 1)/(2x)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 + log(x)/2", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x + 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 + x", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b((-2((-1(-4x - 4) - 1)/(2(-4x - 4) + 2)) - 3)/(3((-1(-4x - 4) - 1)/(2(-4x - 4) + 2)) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x/7", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = 5(5(-5x^2 - 2) - 5)^2 - 2(5(-5x^2 - 2) - 5) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625*x**5 + 3800*x**3/3 + 1150*x", "dataset": "MATH"} | |
| {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1(2e^(2x) - 3) - 2)/(-3(2e^(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}", "role": "user"}], "ground_truth": "x/9 + log(exp(2*x) - 3/2)/9", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-2((-2(-3x^2 + 3x - 2) - 2)/(-2(-3x^2 + 3x - 2) + 3)) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6*x + 10*sqrt(33)*atan(2*sqrt(33)*x/11 - sqrt(33)/11)/33", "dataset": "MATH"} | |
| {"messages": [{"content": "Determine \u222b(-1(5x^2 + 5x - 3)^2 + 5(5x^2 + 5x - 3) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**5 - 25*x**4/2 + 10*x**3 + 55*x**2/2 - 25*x", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(-2((-1x + 1)/(1x - 3))^2 - 4((-1x + 1)/(1x - 3)) - 2)^2 + 4(-2((-1x + 1)/(1x - 3))^2 - 4((-1x + 1)/(1x - 3)) - 2) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x + (96*x**2 - 576*x + 1120)/(3*x**3 - 27*x**2 + 81*x - 81)", "dataset": "MATH"} | |
| {"messages": [{"content": "Compute the indefinite integral for f(x) = -2((1x - 3)/(2x + 1))^2 + 2((1x - 3)/(2x + 1)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x/2 + 49/(8*x + 4)", "dataset": "MATH"} | |