{"messages": [{"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}", "role": "user"}], "ground_truth": "-20*x**3/3 - 10*x**2 + 21*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "5*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "5*x**3/3 + 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "2*x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x - 1)/(-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": "2*x/3 - log(3*x + 2)/9", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "4*x**3/3 + x**2/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-2*x**3/3 + x**2/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(-1e^(-2x) + 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": "5*x + 3*exp(-2*x)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-46*x - 18*exp(2*x) - 87*exp(x)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "4*x**3/3 + x**2 - 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x/2 - 3*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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}", "role": "user"}], "ground_truth": "8*x**3/3 - 9*x**2 + 8*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x - 2*log(x)/3", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "28*x - 39*log(x)/2 - 3/x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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": "x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x - 2*log(x)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**3/3 + 2*x**2 + 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "2*x**3/3 + 5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-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}", "role": "user"}], "ground_truth": "-x - 3*log(4*x + 11) + 9/(16*x + 44)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2x^2 - 1x) 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**3/3 - x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 2)/(-3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - 2*log(x)/3", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x*(-E - 2)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x - log(x - 3)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x + sqrt(3)*log(x - 5/2 + 3*sqrt(3)/2)/3 - sqrt(3)*log(x - 3*sqrt(3)/2 - 5/2)/3", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x*(2 - exp(4/3))", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x + 3*exp(-x - 2)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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}", "role": "user"}], "ground_truth": "16*x**5/5 - 8*x**4 + 32*x**3/3 - 8*x**2 + 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*log(4*x + 1)/4 - 1/(4*x + 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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}", "role": "user"}], "ground_truth": "-4*x**3 - 15*x**2/2 + 11*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2x - 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 - 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-10*x - 3*exp(-2*x)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-2*x + 5*log(x + 1)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-8*x**3/3 + 3*x**2 + 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x - 16*log(x + 3)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x - 7*log(5*x - 1)/5", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x**2 - 10*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-2*x + 5*log(x + 1)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**3/3 + 5*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "2*x**3/3 + 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x + log(8*x - 5)/8", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "2*x/3 - 13*log(3*x + 2)/9", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x/2 - sqrt(15)*log(x - sqrt(15)/10 + 1/2)/60 + sqrt(15)*log(x + sqrt(15)/10 + 1/2)/60", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-5*x**2 - 10*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2 - 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "17*x/3 - 10*log(3*x + 2) - 100/(27*x + 18)", "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(4x^2 + 1x + 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**3/3 + x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-3*x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-9375*x**5 - 46875*x**4 - 280625*x**3/3 - 93125*x**2 - 46255*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-13*x/3 + 20*log(3*x - 1)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x + 1)/(-3x + 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 - 5*log(3*x - 4)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1x^2 - 5x - 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**3/3 - 5*x**2/2 - 2*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(3x^2 - 3x - 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**3 - 3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x + sqrt(2)*log(x - 1 - sqrt(2)/2)/2 - sqrt(2)*log(x - 1 + sqrt(2)/2)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-3*x/7 - 15*log(exp(2*x) + 7/6)/28", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(1e^(-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": "-x + exp(-x)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-2*x/3 - 11*log(3*x - 1)/9", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2 + x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**3 + 2*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x - 5*log(2*x - 3)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**3/3 + 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "4*x**3/3 - 5*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**5 + 5*x**4/2 + 19*x**3 + 26*x**2 + 134*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x", "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((3x - 2)/(-2x + 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": "-11*x/2 + 5*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-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}", "role": "user"}], "ground_truth": "-17*x/7 - 39*log(7*x - 6)/49", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((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}", "role": "user"}], "ground_truth": "-x/2 + 1/(4*x - 2)", "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": "Determine \u222b(-4x + 4) 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 + 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-3*x**3 - 9*x**2/2 - 12*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "35*x + 48*exp(-x) - 9*exp(-2*x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-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}", "role": "user"}], "ground_truth": "-17*x/4 + 21*log(2*x - 1)/4 + 9/(16*x - 8)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-2*x**3/3 + x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x^2 + 1x - 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**3/3 + x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-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", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x/2 + log(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x + 5) 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 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x + 3)/(-1x + 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*log(x - 3)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-4*x + 4*exp(-x) - 2*exp(-2*x)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x - log(2*x - 1)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1x - 3)/(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 - 7*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "5*x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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}", "role": "user"}], "ground_truth": "-5*x + 20*log(exp(x) + 2/9)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x - 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3(-3x^2 + 2x + 2)^2 + 1(-3x^2 + 2x + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27*x**5/5 + 9*x**4 + 7*x**3 - 11*x**2 - 10*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4(-5((1x + 2)/(-1x + 2))^2 - 4) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41*x - 160*log(x - 2) + 320/(x - 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x)/(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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(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": "5*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(-1((-3x)/(-3x + 2)) - 2) + 1)/(1(-1((-3x)/(-3x + 2)) - 2)). 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 + 2*log(9*x - 4)/27", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1x^2 + 4x + 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**3/3 + 2*x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x^2 + 4x + 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": "-4*x**3/3 + 2*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 + 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": "2*x**3/3 + 3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(-1(5x + 3) + 2) + 2)/(-2(-1(5x + 3) + 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": "x + log(10*x - 1)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(-1x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - 7*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3(-5(-1x + 4)^2 - 3(-1x + 4) - 5) - 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 - 129*x**2/2 + 288*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3x^2 + 5x - 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**3 + 5*x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1x^2 + 4x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 + 2*x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(-1x - 5) + 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 - 7*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-5(5x - 3) - 4) - 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": "25*x**2/2 - 16*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2((-1(3x^2 - 2x + 1) - 1)/(-2(3x^2 - 2x + 1) + 1)) - 1)/(-2((-1(3x^2 - 2x + 1) - 1)/(-2(3x^2 - 2x + 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": "-3*sqrt(5)*atan(3*sqrt(5)*x/5 - sqrt(5)/5)/10", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-4x^2 - 5x + 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 - 5*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(3x^2 + 2x + 4)^2 - 4(3x^2 + 2x + 4) + 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": "36*x**5/5 + 12*x**4 + 100*x**3/3 + 28*x**2 + 53*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(-2x + 4) - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2 - 13*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -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}", "role": "user"}], "ground_truth": "-5*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4(-1x^2 - 1x - 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": "-4*x**3/3 - 2*x**2 - 11*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-4(3e^(-2x) + 2)^2 - 1(3e^(-2x) + 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": "-14*x + 51*exp(-2*x)/2 + 9*exp(-4*x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3x - 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**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1x - 1)/(-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/2 + 5*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 - 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": "4*x**3/3 - x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2(1x^2 + 5x) - 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": "2*x**3/3 + 5*x**2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(-5x - 4)^2 - 1(-5x - 4) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100*x**3/3 + 165*x**2/2 + 71*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x - 1)/(2x) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 - log(x)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1((-1x + 3)/(1x - 3))^2 + 5((-1x + 3)/(1x - 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": "-2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3((-3x - 3)/(-2x - 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": "5*x/2 - 9*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "3*x - 2*log(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x - 3)/(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": "x - 2*log(3*x - 1)/3", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 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": "x**3/3 + x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5x - 3) 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**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2e^(-1(-3x - 3)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - 2*exp(3*x + 3)/3", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1(2x^2 + 5x + 1) + 2)/(1(2x^2 + 5x + 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": "x - 2*sqrt(7)*atan(4*sqrt(7)*x/7 + 5*sqrt(7)/7)/7", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1cos(2\u03c0(2(-5x + 5) - 5) + 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 + sin(2*pi*(5 - 10*x) + 3)/(20*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5x - 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": "-5*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x^2 + 5x + 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 + 5*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3((1x - 2)/(-2x + 1)) + 1)/(3((1x - 2)/(-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": "-x + 9*log(x + 4)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5((-3x + 2)/(2x + 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": "23*x/2 - 25*log(x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(-3((-1x - 3)/(1x + 3))^2 - 2((-1x - 3)/(1x + 3)) - 4)^2 - 3(-3((-1x - 3)/(1x + 3))^2 - 2((-1x - 3)/(1x + 3)) - 4). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1e^(2(-1x + 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": "-2*x - exp(4 - 2*x)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 2)/(1x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - 4*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1sin(3\u03c0(-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": "-x + cos(6*pi*x + 1)/(6*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(1(-1x^2 - 4x - 2) - 3) - 3)/(-3(1(-1x^2 - 4x - 2) - 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/3 - 13*sqrt(21)*atan(sqrt(21)*x/7 + 2*sqrt(21)/7)/63", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(-1(1x^2 - 3x + 3) + 2) - 1)/(-3(-1(1x^2 - 3x + 3) + 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/3 - 2*sqrt(33)*log(x - 3/2 - sqrt(33)/6)/99 + 2*sqrt(33)*log(x - 3/2 + sqrt(33)/6)/99", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^2 - 2x + 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": "x**3 - x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2(-1x^2 + 2x + 5) + 1)/(3(-1x^2 + 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": "-2*x/3 + sqrt(51)*log(x - 1 + sqrt(51)/3)/306 - sqrt(51)*log(x - sqrt(51)/3 - 1)/306", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1x + 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": "-x/2 + 7*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 + 5x + 1. 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 + x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1((-3x + 1)/(2x - 1))^2 + 3((-3x + 1)/(2x - 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": "-47*x/4 - 3*log(2*x - 1)/2 + 1/(16*x - 8)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(-1((-1x + 2)/(-1x + 3))^2 + 4((-1x + 2)/(-1x + 3)) - 1)^2 - 5(-1((-1x + 2)/(-1x + 3))^2 + 4((-1x + 2)/(-1x + 3)) - 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": "(-5*x**2 + 36*x - 64)/(x**3 - 9*x**2 + 27*x - 27) + 14*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3(5x^2) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**3 + 2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(-1(-3x) + 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": "-3*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1((1x + 2)/(2x + 3)) - 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x/2 + log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(-1(5x^2 + 4x + 2)^2 + 2))/(-3(-1(5x^2 + 4x + 2)^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/3 - 2*sqrt(1/192 - 5*sqrt(3)/1728)*atan(15*x/(5*sqrt(3)*sqrt(9 - 5*sqrt(3)) + 9*sqrt(9 - 5*sqrt(3))) + 6/(5*sqrt(3)*sqrt(9 - 5*sqrt(3)) + 9*sqrt(9 - 5*sqrt(3)))) - 2*sqrt(5*sqrt(3)/1728 + 1/192)*atan(15*x/(-9*sqrt(5*sqrt(3) + 9) + 5*sqrt(3)*sqrt(5*sqrt(3) + 9)) + 6/(-9*sqrt(5*sqrt(3) + 9) + 5*sqrt(3)*sqrt(5*sqrt(3) + 9)))", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5x^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": "-5*x**3/3 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 + 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": "x**3/3 + 2*x**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-1(3x^2 - 1x + 4) - 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": "x**3 - x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1((1(-5x + 5) - 1)/(-3(-5x + 5) - 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": "7*x/3 + 4*log(15*x - 16)/45", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^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": "-4*x**3/3 - 5*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3cos(3\u03c0(2x + 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 + sin(3*pi*(2*x + 5) - 1)/(2*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(-1((-2x + 2)/(-2x + 1))^2 + 4((-2x + 2)/(-2x + 1)) + 5) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12*x - log(2*x - 1) + 1/(4*x - 2)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1x^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": "x**3/3 - 5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3((-3x)/(1x + 1)) - 1)/(-3((-3x)/(1x + 1)) - 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 + log(2*x - 1)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3((2(5x - 1) - 3)/(-2(5x - 1) - 2)) + 3)/(-3((2(5x - 1) - 3)/(-2(5x - 1) - 2)) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x + 15*log(2*x - 3)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1sin(1\u03c0(-5x + 4) - 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": "-3*x - cos(pi*(4 - 5*x) - 2)/(5*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1e^(1(1x - 5)) - 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 - exp(x - 5)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -5x^2 + 3x + 1. 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 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4((2(-5x^2 - 3x + 1) + 3)/(-2(-5x^2 - 3x + 1) + 1))^2 - 1((2(-5x^2 - 3x + 1) + 3)/(-2(-5x^2 - 3x + 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 + (320*x + 96)/(190*x**2 + 114*x - 19) - 426*sqrt(19)*log(x + 3/10 + sqrt(19)/10)/361 + 426*sqrt(19)*log(x - sqrt(19)/10 + 3/10)/361", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(-3(-2x + 3) + 2))/(-2(-3(-2x + 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": "x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x^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": "4*x**3/3 - 3*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(1(-5x^2 + 3x - 5))^2 + 3(1(-5x^2 + 3x - 5)) - 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": "25*x**5 - 75*x**4/2 + 280*x**3/3 - 141*x**2/2 + 107*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2x^2 - 2x - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**3/3 - x**2 - x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(-1(5x^2 - 3)^2 - 3(5x^2 - 3) - 1)^2 - 4(-1(5x^2 - 3)^2 - 3(5x^2 - 3) - 1) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625*x**9/9 - 750*x**7/7 + 75*x**5 - 30*x**3 + 7*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x - 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": "2*x/3 - 5*log(x + 1)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3((2x - 2)/(-1x + 2))^2 - 1((2x - 2)/(-1x + 2)) - 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 + 26*log(x - 2) - 12/(x - 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1sin(3\u03c0(-5x - 2) + 2) + 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + cos(3*pi*(-5*x - 2) + 2)/(15*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1sin(2\u03c0(-1x - 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": "2*x - cos(2*pi*(-x - 4) - 2)/(2*pi)", "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": "Find the indefinite integral of f(x) = 5x - 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**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3(-5x + 4) - 1)/(-1(-5x + 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": "3*x - 7*log(5*x - 2)/5", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5x - 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**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2(3cos(3\u03c0(1x - 1) + 2) + 2) - 3)/(-2(3cos(3\u03c0(1x - 1) + 2) + 2) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + 4*sqrt(13)*(atan(sqrt(13)*tan(3*pi*x/2 + 1)) + pi*floor((3*pi*x/2 - pi/2 + 1)/pi))/(13*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5(-1(3x - 5) - 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": "15*x**2/2 - 15*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(1((-3x - 1)/(-3x))^2 + 4((-3x - 1)/(-3x)) + 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": "-48*x - 10*log(x) + 5/(9*x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1sin(3\u03c0(2x - 2) + 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 + cos(3*pi*(2*x - 2) + 1)/(6*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3sin(3\u03c0((-1((1x + 2)/(-3x - 3)) + 1)/(-3((1x + 2)/(-3x - 3)) - 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": "-x - 3*cos(3 - 3*pi*(1 - (x + 2)/(-3*x - 3))/(-1 - 3*(x + 2)/(-3*x - 3)))/(4*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(5x + 4))/(2(5x + 4) - 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 + 3*log(10*x + 7)/20", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2(-3(-1e^(-1x) + 3) + 1))/(2(-3(-1e^(-1x) + 3) + 1) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16*x/17 - log(-17/6 + exp(-x))/17", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(-2(-1e^(-2x) - 2)^2 + 1(-1e^(-2x) - 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": "-39*x + 45*exp(-2*x)/2 + 5*exp(-4*x)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -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**2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(3x^2 - 1x + 2)^2 - 4(3x^2 - 1x + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36*x**5/5 + 6*x**4 - 64*x**3/3 + 10*x**2 - 24*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 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**2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(2((-3x + 3)/(2x + 3))^2 + 2((-3x + 3)/(2x + 3)) - 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": "2*x + (-16200*x**2 - 21600*x - 12825)/(16*x**3 + 72*x**2 + 108*x + 54) - 60*log(2*x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5((-2(1x - 1))/(-2(1x - 1) - 1)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7*x - 5*log(2*x - 1)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x)/(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": "-2*x + 6*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1x^2 - 5x + 1. 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 - 5*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2x^2 + 4x. 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x - 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**2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1((2(2x^2 + 1x + 2) + 3)/(-1(2x^2 + 1x + 2) + 2)) - 1)/(3((2(2x^2 + 1x + 2) + 3)/(-1(2x^2 + 1x + 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/8 - 7*sqrt(5)*atan(2*sqrt(5)*x/5 + sqrt(5)/10)/64", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x)/(-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 + log(2*x - 1)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3((1((2x + 1)/(2x - 3)) + 1)/(3((2x + 1)/(2x - 3)) - 2)))/(-3((1((2x + 1)/(2x - 3)) + 1)/(3((2x + 1)/(2x - 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": "-3*x - 30*log(2*x - 21)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(-4(-4x^2 + 4x + 2) - 4)^2 + 5(-4(-4x^2 + 4x + 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": "-1024*x**5/5 + 512*x**4 + 592*x**3/3 - 808*x**2 - 635*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2(3x + 2)^2 + 3(3x + 2) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6*x**3 - 15*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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": "-x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1cos(3\u03c0(2x - 4) - 1) - 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(3*pi*(2*x - 4) - 1)/(6*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1x^2 + 4x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/3 + 2*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2sin(3\u03c0(-1x - 2) + 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": "-x - 2*cos(3*pi*(-x - 2) + 3)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1(-3x + 2) - 3)/(-2(-3x + 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/2 - 3*log(6*x - 7)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2e^(1(-1x^2 - 1x - 5)) + 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 - sqrt(pi)*exp(-19/4)*erf(x + 1/2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2x + 2)/(1x). 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": "Compute the indefinite integral for f(x) = (-2x - 3)/(-3x - 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 + log(x + 1)/3", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1((1(-1x - 2) - 1)/(3(-1x - 2) - 1)) + 3)/(3((1(-1x - 2) - 1)/(3(-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}", "role": "user"}], "ground_truth": "2*x/3 - log(2*x + 5)/6", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2(-4x^2 - 3x - 5) - 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": "-8*x**3/3 - 3*x**2 - 11*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x - 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 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2x + 3)/(-1x - 1). 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*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x + 2)/(-1x + 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 + 4*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(-2sin(2\u03c0(2x - 3) - 1) - 1) + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + cos(2*pi*(2*x - 3) - 1)/pi", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5x^2 - 3x - 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 - 3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(5x - 4) + 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**2/2 + 9*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2sin(2\u03c0(-3x - 5)) + 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 + cos(pi*(6*x + 10))/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(3x^2 - 1) - 3)/(-3(3x^2 - 1) - 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 + sqrt(2)*log(x - sqrt(2)/3)/3 - sqrt(2)*log(x + sqrt(2)/3)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2x - 1)/(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": "x - 2*log(2*x + 3)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1x^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": "x**3/3 - x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x - 3)/(2x - 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - 2*log(2*x - 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x^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*x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2x - 1)/(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}", "role": "user"}], "ground_truth": "-2*x - log(x)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x + 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 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(1x^2 - 3x + 3) + 2)/(-1(1x^2 - 3x + 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": "2*x + 2*sqrt(5)*log(x - 3/2 - sqrt(5)/2)/5 - 2*sqrt(5)*log(x - 3/2 + sqrt(5)/2)/5", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5x^2 - 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": "-5*x**3/3 - 3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-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": "-x**2/2 + 2*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": "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 - log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3(4((3x + 3)/(2x + 1)) + 1)^2 - 1(4((3x + 3)/(2x + 1)) + 1) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151*x - 129*log(2*x + 1) + 54/(2*x + 1)", "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": "Find the indefinite integral of f(x) = -1(-2e^(-1x))^2 + 5(-2e^(-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 + 10*exp(-x) + 2*exp(-2*x)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1x)/(3x + 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(x + 1)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(1x^2 - 1x - 2)^2 - 4(1x^2 - 1x - 2) + 4. 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 + x**4/2 - x**3/3 + 8*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2((-1x - 3)/(-2x - 2))^2 + 2((-1x - 3)/(-2x - 2)) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13*x/2 + 4*log(x + 1) - 2/(x + 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2e^(-1(-3x + 5)) + 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*exp(3*x - 5)/3", "dataset": "MATH"} {"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": "Determine \u222b(-5x^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": "-5*x**3/3 + x**2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(-5(4x + 4)^2 + 5(4x + 4) - 2) - 2)/(3(-5(4x + 4)^2 + 5(4x + 4) - 2) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + 2*sqrt(15)*atan(8*sqrt(15)*x + 7*sqrt(15))/15", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x + 3)/(-3x + 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 - 11*log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(-5((1x + 1)/(3x - 1))^2 + 5((1x + 1)/(3x - 1)) + 5) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37*x/9 + 20*log(3*x - 1)/27 + 80/(81*x - 27)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(4(2x^2 + 1x + 1)^2 + 3(2x^2 + 1x + 1) + 1) + 3)/(-3(4(2x^2 + 1x + 1)^2 + 3(2x^2 + 1x + 1) + 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 - sqrt(20/549 + 2*sqrt(915)/1647)*log(x**2 + x*(-2*sqrt(10)*sqrt(30 + sqrt(915)) - 119*sqrt(366)*sqrt(30 + sqrt(915))/732 + 1/2 + 3*sqrt(610)*sqrt(30 + sqrt(915))*sqrt(4*sqrt(915) + 121)/122) - 72541*sqrt(15)*sqrt(4*sqrt(915) + 121)/2928 - 2985*sqrt(61)*sqrt(4*sqrt(915) + 121)/244 - sqrt(10)*sqrt(30 + sqrt(915))/2 - 119*sqrt(366)*sqrt(30 + sqrt(915))/2928 + 3*sqrt(610)*sqrt(30 + sqrt(915))*sqrt(4*sqrt(915) + 121)/488 + 1453811/976 + 72121*sqrt(915)/1464) + sqrt(20/549 + 2*sqrt(915)/1647)*log(x**2 + x*(-3*sqrt(610)*sqrt(30 + sqrt(915))*sqrt(4*sqrt(915) + 121)/122 + 1/2 + 119*sqrt(366)*sqrt(30 + sqrt(915))/732 + 2*sqrt(10)*sqrt(30 + sqrt(915))) - 72541*sqrt(15)*sqrt(4*sqrt(915) + 121)/2928 - 2985*sqrt(61)*sqrt(4*sqrt(915) + 121)/244 - 3*sqrt(610)*sqrt(30 + sqrt(915))*sqrt(4*sqrt(915) + 121)/488 + 119*sqrt(366)*sqrt(30 + sqrt(915))/2928 + sqrt(10)*sqrt(30 + sqrt(915))/2 + 1453811/976 + 72121*sqrt(915)/1464) - 2*sqrt(-4*sqrt(15)*sqrt(4*sqrt(915) + 121)/1647 + 20/549 + 2*sqrt(915)/549)*atan(12*sqrt(122)*x/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) - 24*sqrt(305)*sqrt(30 + sqrt(915))/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) - 119*sqrt(3)*sqrt(30 + sqrt(915))/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) + 3*sqrt(122)/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) + 18*sqrt(5)*sqrt(30 + sqrt(915))*sqrt(4*sqrt(915) + 121)/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)))) - 2*sqrt(-4*sqrt(15)*sqrt(4*sqrt(915) + 121)/1647 + 20/549 + 2*sqrt(915)/549)*atan(12*sqrt(122)*x/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) - 18*sqrt(5)*sqrt(30 + sqrt(915))*sqrt(4*sqrt(915) + 121)/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) + 3*sqrt(122)/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) + 119*sqrt(3)*sqrt(30 + sqrt(915))/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))) + 24*sqrt(305)*sqrt(30 + sqrt(915))/(sqrt(3)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915)) + 6*sqrt(5)*sqrt(4*sqrt(915) + 121)*sqrt(-2*sqrt(15)*sqrt(4*sqrt(915) + 121) + 30 + 3*sqrt(915))))", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2sin(3\u03c0(-1x + 1) - 1) - 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*cos(3*pi*(1 - x) - 1)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(1x - 5) + 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**2/2 + 16*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x)/(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": "-2*x - 6*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(5x^2 - 5x + 3)^2 - 2(5x^2 - 5x + 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": "-15*x**5 + 75*x**4/2 - 175*x**3/3 + 50*x**2 - 36*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(-2x^2 - 5x + 4))/(1(-2x^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": "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": "Find the indefinite integral of f(x) = (2(-1e^(-1x)) + 1)/(3(-1e^(-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/3 - exp(x)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3(4(-3x^2 - 1)^2 - 2(-3x^2 - 1) - 5) + 3)/(-3(4(-3x^2 - 1)^2 - 2(-3x^2 - 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": "x + 2*sqrt(5/1608 - sqrt(201)/4824)*atan(12*sqrt(2)*x/(sqrt(67)*sqrt(15 - sqrt(201)) + 5*sqrt(3)*sqrt(15 - sqrt(201)))) - 2*sqrt(sqrt(201)/4824 + 5/1608)*atan(12*sqrt(2)*x/(-sqrt(67)*sqrt(sqrt(201) + 15) + 5*sqrt(3)*sqrt(sqrt(201) + 15)))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3(-1e^(-1x) - 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": "4*x - 3*exp(-x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2(-5(3e^(1x))) - 3)/(3(-5(3e^(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": "3*x/2 - 5*log(exp(x) + 2/45)/6", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1x^2 - 1x) 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 - x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x - 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**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2((3(4x - 4))/(1(4x - 4) + 1)) + 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 + 3*log(4*x - 3)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2(-5(-5x^2 - 1x - 2)^2 + 1(-5x^2 - 1x - 2) + 2)^2 - 4(-5(-5x^2 - 1x - 2)^2 + 1(-5x^2 - 1x - 2) + 2) - 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31250*x**9/9 - 3125*x**8 - 60000*x**7/7 - 16250*x**6/3 - 7580*x**5 - 3260*x**4 - 9242*x**3/3 - 798*x**2 - 725*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1e^(1(3x - 3)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - exp(3*x - 3)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x - 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1(-1cos(3\u03c0x + 1) - 3) + 3)/(1(-1cos(3\u03c0x + 1) - 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": "-x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2(-2x^2 + 4x + 5) - 1)/(3(-2x^2 + 4x + 5) + 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 - 7*sqrt(138)*log(x - 1 + sqrt(138)/6)/828 + 7*sqrt(138)*log(x - sqrt(138)/6 - 1)/828", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2(-5x^2 + 5x - 5) + 2)/(-1(-5x^2 + 5x - 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 - 4*sqrt(35)*atan(2*sqrt(35)*x/7 - sqrt(35)/7)/35", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(1((-1x + 2)/(2x - 3))^2 - 1((-1x + 2)/(2x - 3)) + 3)^2 + 3(1((-1x + 2)/(2x - 3))^2 - 1((-1x + 2)/(2x - 3)) + 3) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13*x/16 - (-408*x**2 + 1248*x - 955)/(768*x**3 - 3456*x**2 + 5184*x - 2592) + 9*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2((-2(1x^2 + 3x - 1) - 2)/(-2(1x^2 + 3x - 1) + 3)) + 3)/(1((-2(1x^2 + 3x - 1) - 2)/(-2(1x^2 + 3x - 1) + 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": "-5*x/2 + 15*sqrt(6)*log(x + 3/2 + sqrt(6))/32 - 15*sqrt(6)*log(x - sqrt(6) + 3/2)/32", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -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}", "role": "user"}], "ground_truth": "-x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4((-1(3x^2 + 3x + 1) + 3)/(-3(3x^2 + 3x + 1)))^2 + 3((-1(3x^2 + 3x + 1) + 3)/(-3(3x^2 + 3x + 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": "-22*x/9 - (8*x + 4)/(3*x**2 + 3*x + 1) - 50*sqrt(3)*atan(2*sqrt(3)*x + sqrt(3))/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1(-5(3x^2 + 4x - 3) - 3) - 2)/(-3(-5(3x^2 + 4x - 3) - 3) - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 + sqrt(295)*log(x + 2/3 + sqrt(295)/15)/1770 - sqrt(295)*log(x - sqrt(295)/15 + 2/3)/1770", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1cos(2\u03c0(-2x + 5) - 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": "-2*x + sin(2*pi*(5 - 2*x) - 1)/(4*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1cos(3\u03c0(-1(5x + 3) + 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": "2*x + sin(pi*(15*x + 3))/(15*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2(-1cos(1\u03c0(-3x - 5) + 3) - 2)^2 + 3(-1cos(1\u03c0(-3x - 5) + 3) - 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": "x*sin(3*pi*x - 3)**2 + x*cos(3*pi*x - 3)**2 - 3*x + sin(3*pi*x - 3)*cos(3*pi*x - 3)/(3*pi) - 8*sin(3*pi*x - 3)/(3*pi) + sin(pi*(-3*x - 5) + 3)/pi", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(-3(-2x - 2) - 5) - 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 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2x^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": "-2*x**3/3 - 3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(-2x + 5) - 2)/(-1(-2x + 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": "-x - 2*log(2*x - 7)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2(-1(-3e^(-1x))^2 - 5(-3e^(-1x)) - 2) - 1)/(-2(-1(-3e^(-1x))^2 - 5(-3e^(-1x)) - 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": "-5*x/7 + RootSum(77*_z**2 - 22*_z - 2, Lambda(_i, _i*log(77*_i/30 - 6/5 + exp(-x))))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3(-1x^2 - 2x + 4) + 2)/(2(-1x^2 - 2x + 4) - 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/2 + sqrt(2)*log(x + 1 + 3*sqrt(2)/2)/24 - sqrt(2)*log(x - 3*sqrt(2)/2 + 1)/24", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -4((3((-3x)/(-3x + 2)) + 1)/(2((-3x)/(-3x + 2)) - 3))^2 + 1((3((-3x)/(-3x + 2)) + 1)/(2((-3x)/(-3x + 2)) - 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": "-63*x - 242*log(x - 2) + 1936/(9*x - 18)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-4(-1e^(-2(-5x + 5)) + 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": "-12*x + 2*exp(10*x - 10)/5", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x - 1)/(1x). 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)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5((3x + 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": "4*x + 5*log(3*x - 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1((1x + 3)/(3x - 2))^2 + 2((1x + 3)/(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}", "role": "user"}], "ground_truth": "-13*x/9 + 44*log(3*x - 2)/27 + 121/(81*x - 54)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3x^2 - 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**3 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(3e^(1x) - 1) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - 12*exp(x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^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": "x**3 + x**2/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x - 3)/(-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 + log(x)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3x + 3)/(-1x - 1). 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(2(1(-3x^2 - 5x) - 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": "18*x**5/5 + 15*x**4 + 62*x**3/3 + 10*x**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2((1x + 3)/(1x + 3)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(1(3x^2 + 1x - 3)^2 - 2(3x^2 + 1x - 3) - 3)^2 - 3(1(3x^2 + 1x - 3)^2 - 2(3x^2 + 1x - 3) - 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": "-9*x**9 - 27*x**8/2 + 54*x**7 + 70*x**6 - 676*x**5/5 - 265*x**4/2 + 557*x**3/3 + 108*x**2 - 181*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(1x + 3)^2 + 3(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 - 21*x**2/2 - 27*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3(3x - 3))/(-2(3x - 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 + 3*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (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": "2*x + 9*log(x - 3)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4((3x)/(-3x - 1))^2 - 2((3x)/(-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": "-4*x + 2*log(3*x + 1) + 4/(9*x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4(-2e^(2x) + 1)^2 - 3(-2e^(2x) + 1) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x + 4*exp(4*x) - 5*exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-1e^(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 - 4*exp(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": "Determine \u222b(-5x^2 + 2x + 2) 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 + x**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3(1e^(-2(-1x - 4)) - 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": "5*x - 3*exp(2*x + 8)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3x - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1e^(2(-1x^2 + 2x + 2)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "sqrt(2)*sqrt(pi)*exp(6)*erf(sqrt(2)*(4*x - 4)/4)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4(-2e^(-2x) + 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": "18*x + 16*exp(-2*x) - 4*exp(-4*x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4x^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": "4*x**3/3 + 3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(-2((2x - 1)/(-3x - 2)) - 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 + 14*log(3*x + 2)/9", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-2*x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(5((-3x + 3)/(2x - 3)) - 1)^2 - 2(5((-3x + 3)/(2x - 3)) - 1) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377*x/4 + 285*log(2*x - 3)/4 - 225/(16*x - 24)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3x^2 + 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**3 + x**2 + x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -4x^2 - 3x + 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": "-4*x**3/3 - 3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2(-1e^(-2(-2x - 5))) + 3)/(-1(-1e^(-2(-2x - 5))) - 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(exp(4*x + 10) - 3)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1e^(-1(-5x^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": "-3*x + sqrt(5)*sqrt(pi)*erfi(sqrt(5)*x)/10", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1cos(3\u03c0(4x) - 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 - sin(12*pi*x - 1)/(12*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3(-1(-1x + 2)^2 + 4(-1x + 2) - 2) - 3)/(-2(-1(-1x + 2)^2 + 4(-1x + 2) - 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": "3*x/2 - 15*sqrt(2)*log(x - sqrt(2)/2)/8 + 15*sqrt(2)*log(x + sqrt(2)/2)/8", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3(-3(2e^(-1x) - 3)^2 + 5(2e^(-1x) - 3) + 4) - 2)/(1(-3(2e^(-1x) - 3)^2 + 5(2e^(-1x) - 3) + 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": "-56*x/19 + RootSum(1387*_z**2 - 73*_z - 6, Lambda(_i, _i*log(1387*_i/138 - 301/138 + exp(-x))))", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x - 1)/(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}", "role": "user"}], "ground_truth": "2*x - log(x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 + 1x + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 + x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x - 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": "3*x/2 + log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2(-3x^2 + 1x - 4)^2 - 4(-3x^2 + 1x - 4) - 2) dx. 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 + 62*x**3/3 - 10*x**2 + 46*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(-4((2x - 3)/(3x - 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": "-20*x/3 + 80*log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2e^(2(-5(-4x^2 - 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": "3*x + sqrt(10)*sqrt(pi)*exp(-85/8)*erfi(sqrt(10)*(80*x + 10)/40)/20", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x - 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**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1x - 2)/(-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 + 10*log(3*x - 4)/9", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3((3(-2x^2 + 4) + 1)/(1(-2x^2 + 4))) - 1)/(1((3(-2x^2 + 4) + 1)/(1(-2x^2 + 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": "-2*x + sqrt(210)*log(x - sqrt(210)/10)/420 - sqrt(210)*log(x + sqrt(210)/10)/420", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1(-2x - 4) + 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 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5x^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": "-5*x**3/3 + x**2 - x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3(4(5x - 3) + 1) - 3)/(2(4(5x - 3) + 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/2 - 9*log(40*x - 21)/80", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2x - 1)/(-1x + 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 + 5*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(4x - 5) - 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**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1((-1((-2x + 2)/(-2x + 3)) - 1)/(2((-2x + 2)/(-2x + 3)) - 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": "3*x + 5*log(2*x - 5)/2", "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": "Compute the indefinite integral for f(x) = -3x - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(-4x - 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**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5(-1e^(-2x) - 1)^2 - 1(-1e^(-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": "8*x - 11*exp(-2*x)/2 - 5*exp(-4*x)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(-2((-1x + 2)/(-3x)) + 5) + 1)/(1(-2((-1x + 2)/(-3x)) + 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": "42*x/13 - 12*log(13*x + 4)/169", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2(2(-3x^2 + 2x - 2) - 1) + 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 - 4*x**2 + 13*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2x^2 + 1x - 4. 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 + x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2x + 3)/(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*log(2*x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2(4x^2 + 5x - 4)^2 - 2(4x^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": "32*x**5/5 + 20*x**4 - 22*x**3/3 - 45*x**2 + 40*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(2x^2 - 1x - 4))/(2(2x^2 - 1x - 4) - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2 - sqrt(37)*log(x - 1/4 + sqrt(37)/4)/148 + sqrt(37)*log(x - sqrt(37)/4 - 1/4)/148", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1x^2 - 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**3/3 - x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x^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": "4*x**3/3 + 3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1((-1(-1x^2 + 2x - 1) - 3)/(-2(-1x^2 + 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": "-x/2 - log(x)/2 + log(x - 2)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3(3sin(1\u03c0(-2x - 1) + 1) - 2) - 1)/(-3(3sin(1\u03c0(-2x - 1) + 1) - 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", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 - 4*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": "Find the indefinite integral of f(x) = 3x + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2((-3x - 2)/(3x)) + 2)/(3((-3x - 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*log(3*x + 3)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2(-1x^2 - 5x + 3) - 1. 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 + 5*x**2 - 7*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3(1e^(1x) - 2) + 2)/(-1(1e^(1x) - 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 + log(exp(x) - 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3(1x^2 - 5x + 5) + 1)/(-3(1x^2 - 5x + 5) - 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*sqrt(33)*log(x - 5/2 - sqrt(33)/6)/33 + 2*sqrt(33)*log(x - 5/2 + sqrt(33)/6)/33", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3e^(-2(-4x - 1)) + 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*exp(8*x + 2)/8", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1((-1x - 3)/(-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": "-x/2 - log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1((-2x - 3)/(-1x - 3)) - 3)/(2((-2x - 3)/(-1x - 3)) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/7 - 27*log(7*x + 15)/49", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2((-1((-1x - 1)/(3x)) + 2)/(1((-1x - 1)/(3x)) + 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": "-19*x/5 - 24*log(5*x - 1)/25", "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": "Find the indefinite integral of f(x) = -4x - 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": "-2*x**2 - 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^2 - 3x + 5. 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 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4(-5((-2x - 3)/(1x + 3))^2 + 5((-2x - 3)/(1x + 3)) + 4)^2 - 5(-5((-2x - 3)/(1x + 3))^2 + 5((-2x - 3)/(1x + 3)) + 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": "2836*x + (-32085*x**2 - 179010*x - 250965)/(x**3 + 9*x**2 + 27*x + 27) - 15975*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3((1x + 1)/(1x + 2)))/(1((1x + 1)/(1x + 2))). 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": "What is the symbolic antiderivative of the function f(x) = (2(-2x - 3))/(2(-2x - 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": "x + log(x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5(-1x^2 + 1x + 2) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 - 5*x**2/2 - 12*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1((-2x + 1)/(1x - 2)) - 2)/(2((-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": "x - 3*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(-2e^(1x) + 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": "11*x - 6*exp(x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x - 1)/(1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 3*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3(1x^2 - 3x + 1) + 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 + 9*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2(-1x^2 + 5x + 4) + 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**3/3 - 5*x**2 - 6*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x - 1. 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(-3x^2 - 1x + 4) - 1)/(2(-3x^2 - 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 + log(x - 1)/14 - log(x + 4/3)/14", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3cos(1\u03c0(-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": "-2*x + 3*sin(pi*(x - 2))/pi", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3(-4((2x + 3)/(-2x + 3))^2 - 5((2x + 3)/(-2x + 3)) - 3)^2 + 1(-4((2x + 3)/(-2x + 3))^2 - 5((2x + 3)/(-2x + 3)) - 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": "5*x + (-5112*x**2 + 7560*x - 10206)/(8*x**3 - 36*x**2 + 54*x - 27) + 99*log(2*x - 3)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1x^2 + 4x + 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**3/3 + 2*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1x + 1)/(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": "x/3 + log(x)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(-2(5x + 1)^2 - 4(5x + 1) - 3)^2 + 5(-2(5x + 1)^2 - 4(5x + 1) - 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": "1500*x**5 + 3000*x**4 + 7250*x**3/3 + 980*x**2 + 200*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1x)/(1x)) 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": "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}", "role": "user"}], "ground_truth": "x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(1e^(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": "5*x + 3*exp(2*x)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1e^(1(-5x^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}", "role": "user"}], "ground_truth": "x + sqrt(5)*sqrt(pi)*exp(1/20)*erf(sqrt(5)*(10*x + 1)/10)/10", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1x - 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/3 + 4*log(x + 1)/3", "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) = 2e^(1(-3x^2 - 3x + 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 + sqrt(3)*sqrt(pi)*exp(11/4)*erf(sqrt(3)*(6*x + 3)/6)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(1cos(3\u03c0(3x + 5) - 2) - 3))/(-2(1cos(3\u03c0(3x + 5) - 2) - 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": "-x/2 - sqrt(3)*(atan(sqrt(3)*tan(9*pi*x/2 - 1)/3) + pi*floor((9*pi*x/2 - pi/2 - 1)/pi))/(27*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -5(-4(4x - 5) + 1) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40*x**2 - 102*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(5(-3e^(-2x) - 1)^2 + 2(-3e^(-2x) - 1) + 3)^2 - 4(5(-3e^(-2x) - 1)^2 + 2(-3e^(-2x) - 1) + 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": "7*x - 96*exp(-2*x) - 234*exp(-4*x) - 360*exp(-6*x) - 2025*exp(-8*x)/8", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(1x^2 + 3x - 1))/(-1(1x^2 + 3x - 1) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x - 4*sqrt(21)*log(x + 3/2 + sqrt(21)/2)/21 + 4*sqrt(21)*log(x - sqrt(21)/2 + 3/2)/21", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1e^(1(3(-5x^2 - 4x - 1))) + 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 + sqrt(15)*sqrt(pi)*exp(-3/5)*erf(sqrt(15)*(30*x + 12)/30)/30", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-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**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(-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": "-x**3 + x**2 + x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3x + 3)/(-2x)) 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 - 3*log(x)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3(-2x - 1) + 3)/(3(-2x - 1) - 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 + 2)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(4(-2x^2 - 5x + 3) - 5)^2 + 1(4(-2x^2 - 5x + 3) - 5) - 4. 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 - 320*x**4 - 1160*x**3/3 + 550*x**2 - 193*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(-3(-1x + 4)^2 + 2(-1x + 4) + 1))/(-1(-3(-1x + 4)^2 + 2(-1x + 4) + 1) - 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*sqrt(13)*log(x - 11/3 - sqrt(13)/3)/26 + 3*sqrt(13)*log(x - 11/3 + sqrt(13)/3)/26", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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": "3*x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-5(-2e^(-1x) + 2)^2 + 4(-2e^(-1x) + 2) - 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": "-64*x - 128*exp(-x) + 40*exp(-2*x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(1e^(2x))^2 + 2(1e^(2x)) - 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*exp(4*x)/4 + exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x + 3)/(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": "-x + 3*log(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1x^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": "-x**3/3 + x**2 - x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(1e^(-1x) - 1) - 3)/(-3(1e^(-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": "-4*x - 11*log(-1/3 + exp(-x))/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5x + 5) 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**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(5(2x^2 + 3x + 1)^2 + 1(2x^2 + 3x + 1) + 5) - 1)/(3(5(2x^2 + 3x + 1)^2 + 1(2x^2 + 3x + 1) + 5) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/3 - RootSum(16538245389*_t**4 + 239328*_t**2 + 1280, Lambda(_t, _t*log(-19901619*_t**3/5120 + 13287*_t/320 + x + 3/4)))", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4((-3x + 1)/(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": "6*x - 11*log(2*x + 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3(3sin(1\u03c0(2x - 5) + 1) - 2)^2 + 1(3sin(1\u03c0(2x - 5) + 1) - 2) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27*x*sin(2*pi*x + 1)**2/2 - 27*x*cos(2*pi*x + 1)**2/2 - 12*x + 27*sin(2*pi*x + 1)*cos(2*pi*x + 1)/(4*pi) + 18*cos(2*pi*x + 1)/pi - 3*cos(pi*(2*x - 5) + 1)/(2*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1(-1((2x - 1)/(1x + 1)) + 3) + 3)/(1(-1((2x - 1)/(1x + 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": "4*x - 9*log(x + 4)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5((-1x - 3)/(1x + 2))^2 + 1((-1x - 3)/(1x + 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": "-5*x - 11*log(x + 2) + 5/(x + 2)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(1(4x + 4)^2 - 1)^2 + 1(1(4x + 4)^2 - 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": "1024*x**5/5 + 1024*x**4 + 6032*x**3/3 + 1936*x**2 + 917*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(-4(1x + 2) + 3) - 1)/(-1(-4(1x + 2) + 3) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + 5*log(2*x + 1)/4", "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": "Find the indefinite integral of f(x) = -1(3e^(-1(3x)) + 2)^2 + 5(3e^(-1(3x)) + 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": "3*x - exp(-3*x) + 3*exp(-6*x)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x)/(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": "-x/3 - 2*log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3x)/(-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 + 9*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-3(-3x + 3) + 3)^2 + 1(-3(-3x + 3) + 3) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108*x**3 - 423*x**2/2 + 136*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(1x)^2 - 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}", "role": "user"}], "ground_truth": "5*x**3/3 - 3*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 1)/(2x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 + log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x)/(1x)) 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", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3cos(3\u03c0(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 + sin(3*pi*(x - 5) + 1)/pi", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3(-2((-1x)/(-2x - 3))))/(1(-2((-1x)/(-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": "-3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1((1(5x - 2) + 1)/(-1(5x - 2) - 2)) + 2)/(1((1(5x - 2) + 1)/(-1(5x - 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 - 2*log(5*x - 1)/5", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1((-3x - 1)/(-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": "-5*x/2 + 7*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2 + x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2((-3x + 2)/(2x + 3)) + 3)/(-1((-3x + 2)/(2x + 3)) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13*log(7*x + 4)/7", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x^2 + 5x + 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**3 + 5*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5((-1(3e^(-1x)))/(-1(3e^(-1x)) - 3))^2 - 3((-1(3e^(-1x)))/(-1(3e^(-1x)) - 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": "-4*x + 8*log(1 + exp(-x)) + 5/(1 + exp(-x))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4((-2((-3x - 2)/(-1x - 3)) + 1)/(2((-3x - 2)/(-1x - 3)) - 3))^2 - 2((-2((-3x - 2)/(-1x - 3)) + 1)/(2((-3x - 2)/(-1x - 3)) - 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": "112*x/9 + 1288*log(3*x - 5)/27 - 3136/(81*x - 135)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(1sin(2\u03c0x) + 2) - 2)/(1(1sin(2\u03c0x) + 2) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - 3*log(tan(i*p*x))/(i*p)", "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/2 + log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(-3e^(-1(-5x)) + 1)^2 - 4(-3e^(-1(-5x)) + 1) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*exp(10*x)/10 + 6*exp(5*x)/5", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5x^2 - 4x - 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": "-5*x**3/3 - 2*x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(-1e^(-1x) + 3))/(-2(-1e^(-1x) + 3) - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + log(-9/2 + exp(-x))/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(5(1x + 4)^2 - 3)^2 + 3(5(1x + 4)^2 - 3) - 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**5 + 100*x**4 + 795*x**3 + 3140*x**2 + 6157*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1((3(3x + 5) + 1)/(2(3x + 5) + 1)) - 1)/(-1((3(3x + 5) + 1)/(2(3x + 5) + 1)) + 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 - 2*log(9*x + 17)/27", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3((3(2x^2 - 2x - 2) - 1)/(1(2x^2 - 2x - 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": "6*x + 5*log(x - 2)/2 - 5*log(x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(-5(2e^(2x) + 2)^2 + 4(2e^(2x) + 2) - 5)^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": "-863*x - 150*exp(8*x) - 640*exp(6*x) - 1278*exp(4*x) - 1632*exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1((-1x + 3)/(2x - 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/2 + 5*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3e^(1(-1x^2 + 4x + 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": "x + 3*sqrt(pi)*exp(6)*erf(x - 2)/2", "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) = 4(-5((3x - 2)/(2x + 2)) + 1) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31*x + 50*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(1(-4x^2 - 5x - 5) - 3)^2 + 2(1(-4x^2 - 5x - 5) - 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": "48*x**5/5 + 30*x**4 + 259*x**3/3 + 115*x**2 + 178*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(3(-3x^2 + 5x - 1)^2 + 4(-3x^2 + 5x - 1) + 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": "27*x**5 - 225*x**4/2 + 135*x**3 - 25*x**2 + 8*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4((1(3x))/(-3(3x) + 1)) + 1. 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(9*x - 1)/27", "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(3(-2e^(-1(-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": "-4*x - 3*sqrt(5)*sqrt(pi)*exp(-5/4)*erfi(sqrt(5)*(10*x + 5)/10)/5", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1x^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": "-x**3/3 + 5*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x - 2)/(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 - 3*log(x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2(4x + 2))/(-1(4x + 2) - 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*log(4*x + 5)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5x - 5) 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**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(-1e^(-1x) - 2)^2 + 4(-1e^(-1x) - 2) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7*x + 8*exp(-x) + exp(-2*x)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3x - 2)/(2x - 1). 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(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-2(1e^(-1x) - 1)^2 - 3(1e^(-1x) - 1) + 3) - 5. 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*exp(-x) + 3*exp(-2*x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1sin(2\u03c0((-3((-2x + 3)/(-2x - 1)) - 3)/(-2((-2x + 3)/(-2x - 1)) - 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(-1sin(3\u03c0(5x - 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": "5*x + cos(3*pi*(5*x - 1) - 2)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1x)/(-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*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3x - 3)/(3x - 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(3*x - 2)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2x^2 + 2x + 5) 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**3/3 + x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x)/(-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 + 3*log(2*x + 3)/2", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(3e^(1(-2x + 2)) + 3)^2 + 5(3e^(1(-2x + 2)) + 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": "35*x - 51*exp(2 - 2*x)/2 - 9*exp(4 - 4*x)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 + 3x + 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 + 3*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2e^(1(-3x - 5)) + 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*exp(-3*x - 5)/3", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2((-2x + 3)/(-2x - 2)) - 3)/(1((-2x + 3)/(-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": "-x - 15*log(2*x - 3)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3((3(-3x^2 + 1x - 2) + 1)/(-3(-3x^2 + 1x - 2))) - 3)/(3((3(-3x^2 + 1x - 2) + 1)/(-3(-3x^2 + 1x - 2))) - 2). 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 + 2*sqrt(515)*atan(6*sqrt(515)*x/103 - sqrt(515)/103)/2575", "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) = -2x + 4. 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": "What is the symbolic antiderivative of the function f(x) = 3((-1(1x^2 + 4x))/(2(1x^2 + 4x) + 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 + 9*sqrt(10)*log(x - sqrt(10)/2 + 2)/40 - 9*sqrt(10)*log(x + sqrt(10)/2 + 2)/40", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1x)/(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 + log(x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1(-3x - 2) + 2)/(-2(-3x - 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/2 + log(6*x + 7)/12", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(3x^2 - 5x - 5)^2 - 5(3x^2 - 5x - 5) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36*x**5/5 - 30*x**4 - 35*x**3/3 + 225*x**2/2 + 127*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2((-1((1x - 2)/(1x + 3)) - 2)/(2((1x - 2)/(1x + 3)) - 3)) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x - 70*log(x + 13)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2x^2 - 2x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 - x**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1((-1x - 1)/(-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 + log(x)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^2 + 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": "x**3 + x**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3(-3(-5x + 4)^2 - 1(-5x + 4) - 5) + 1)/(3(-3(-5x + 4)^2 - 1(-5x + 4) - 5) + 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 - 2*sqrt(51)*atan(10*sqrt(51)*x/17 - 25*sqrt(51)/51)/255", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2x - 2)/(-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": "-x + log(2*x - 1)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-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": "-x**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2e^(1(-1x^2 + 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": "3*x - sqrt(pi)*exp(2)*erf(x - 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(1x^2 + 1x + 5)^2 - 2(1x^2 + 1x + 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": "x**5/5 + x**4/2 + 3*x**3 + 4*x**2 + 20*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 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**2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3x^2 + 3x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3 + 3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(3(-1x^2 - 2x)^2 - 4(-1x^2 - 2x) - 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": "-3*x**5/5 - 3*x**4 - 16*x**3/3 - 4*x**2 + x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-4x + 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**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1(5x^2 + 3x - 1) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 + 3*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3x^2 + 1x + 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": "-x**3 + x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3(-1e^(-2x) + 3)^2 - 1(-1e^(-2x) + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30*x - 19*exp(-2*x)/2 + 3*exp(-4*x)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^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": "-4*x**3/3 - 5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1(-1(2x - 1) - 3) + 3)/(2(-1(2x - 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": "-x/2 - 5*log(4*x + 5)/8", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x + 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**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3x + 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": "-3*x/2 + 5*log(2*x + 1)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1x - 3)/(-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 + 3*log(x)/2", "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) = (1x - 3)/(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 - 11*log(3*x + 2)/9", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x^2 - 4x + 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": "-4*x**3/3 - 2*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^2 + 1x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 + x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3x + 2)/(-1x + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x + 4*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3((-2(-2x^2 + 2x - 3) - 1)/(2(-2x^2 + 2x - 3))) - 1)/(2((-2(-2x^2 + 2x - 3) - 1)/(2(-2x^2 + 2x - 3))) + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x + 11*sqrt(7)*atan(2*sqrt(7)*x/7 - sqrt(7)/7)/14", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x^2 - 4x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 - 2*x**2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2(1((2x - 2)/(2x - 3))^2 + 4((2x - 2)/(2x - 3)) + 4) - 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21*x - 6*log(2*x - 3) + 1/(2*x - 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2x + 2)/(-2x - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2x - 2)/(-1x - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 6*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(-1e^(-2(5x^2 - 1x - 3)) + 3) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x - sqrt(10)*sqrt(pi)*exp(61/10)*erf(sqrt(10)*(20*x - 2)/20)/10", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5x^2 + 1x + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**3/3 + x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(2x^2 + 4x + 1) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**3 - 6*x**2 - 6*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1x + 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**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 + 3x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 + 3*x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(-3x^2 + 3x - 4)^2 + 3(-3x^2 + 3x - 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x**5/5 - 9*x**4/2 + 8*x**3 - 15*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3(-1((2x)/(-2x - 2)) - 5) + 3)/(-2(-1((2x)/(-2x - 2)) - 5) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3(-4(-2x^2 - 4x - 2) - 4) - 1)/(-2(-4(-2x^2 - 4x - 2) - 4))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2 + sqrt(2)*log(x - sqrt(2)/2 + 1)/32 - sqrt(2)*log(x + sqrt(2)/2 + 1)/32", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2x + 3)/(-2x - 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - log(2*x + 1)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1(1x - 1) - 1)/(1(1x - 1)) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - log(x - 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(-3x^2 + 1x - 3)^2 + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9*x**5/5 + 3*x**4/2 - 19*x**3/3 + 3*x**2 - 7*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(2e^(2x) - 2)^2 - 5(2e^(2x) - 2) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x - exp(4*x) - exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5((3(2e^(1x)) - 1)/(2(2e^(1x)) - 1))^2 + 5((3(2e^(1x)) - 1)/(2(2e^(1x)) - 1)) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - 15*log(exp(x) - 1/4)/4 + 5/(16*exp(x) - 4)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5(-5(1x^2 - 3x - 3) - 3) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25*x**3/3 + 75*x**2/2 + 62*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1((-1(5x^2 + 5x + 1) - 2)/(2(5x^2 + 5x + 1) + 3))^2 - 3((-1(5x^2 + 5x + 1) - 2)/(2(5x^2 + 5x + 1) + 3)) + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x/4 + (-2*x - 1)/(400*x**2 + 400*x + 200) + 19*atan(2*x + 1)/100", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2x^2 + 2x + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**3/3 + x**2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x + 2)/(2x - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - log(2*x - 3)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x - 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**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1((1x)/(-2x - 1)) - 2)/(1((1x)/(-2x - 1)) - 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x/7 - log(7*x + 3)/49", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5x^2 - 3x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 - 3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2x^2 - 1x - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 - x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(2x - 3) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**2 - 18*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3(1x^2 - 2x - 2) - 2)/(2(1x^2 - 2x - 2) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2 - sqrt(2)*log(x - 1 + sqrt(2))/8 + sqrt(2)*log(x - sqrt(2) - 1)/8", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -4((-1(-2x^2 + 4x - 3) + 2)/(3(-2x^2 + 4x - 3) + 1))^2 - 5((-1(-2x^2 + 4x - 3) + 2)/(3(-2x^2 + 4x - 3) + 1)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38*x/9 + (49 - 49*x)/(54*x**2 - 108*x + 72)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1((1(-5x + 3) + 3)/(3(-5x + 3) + 3)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10*x/3 + 2*log(5*x - 4)/15", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3(-1x - 1) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2 - x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1((2(5x^2 + 5x - 5) - 3)/(-1(5x^2 + 5x - 5) - 3))^2 + 3((2(5x^2 + 5x - 5) - 3)/(-1(5x^2 + 5x - 5) - 3)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + (-162*x - 81)/(65*x**2 + 65*x - 26) + 279*sqrt(65)*log(x + 1/2 + sqrt(65)/10)/845 - 279*sqrt(65)*log(x - sqrt(65)/10 + 1/2)/845", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3x - 3)/(-1x - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - 6*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-2x^2 + 2x + 3) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 - x**2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(-3e^(-1(1x - 3)) + 2)^2 - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15*x + 60*exp(3 - x) - 45*exp(6 - 2*x)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2x - 1)/(1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x - 7*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(-2(-5x - 3) - 5) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3((3x + 3)/(3x + 1))^2 - 4((3x + 3)/(3x + 1)) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x + 4*log(3*x + 1)/3 - 4/(3*x + 1)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-4(-1x^2 - 3x + 2)^2 + 5(-1x^2 - 3x + 2) - 5)^2 + 3(-4(-1x^2 - 3x + 2)^2 + 5(-1x^2 - 3x + 2) - 5) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16*x**9/3 + 72*x**8 + 2328*x**7/7 + 468*x**6 - 525*x**5 - 1719*x**4/2 + 1614*x**3 - 2079*x**2/2 + 326*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3x + 2)/(3x - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5(1(3x - 5)^2 + 4)^2 + 5(1(3x - 5)^2 + 4) - 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81*x**5 + 675*x**4 - 2355*x**3 + 4275*x**2 - 4065*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(1x^2 - 4x + 1) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 - 10*x**2 + x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-4(-4(1e^(2x) + 1))) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16*x + 8*exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 2)/(-3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 - 2*log(x)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2(3x^2 + 4x) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**3 - 4*x**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(-3e^(2x) + 1) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x - 3*exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2sin(1\u03c0(5x + 1) - 2) - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 2*cos(pi*(5*x + 1) - 2)/(5*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(-1((2x + 1)/(-1x - 1))^2 - 4) + 3)/(1(-1((2x + 1)/(-1x - 1))^2 - 4) + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19*x/7 - 10*log(x**2 + 10*x/7 + 4/7)/49 - 5*sqrt(3)*atan(7*sqrt(3)*x/3 + 5*sqrt(3)/3)/147", "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": "Compute the indefinite integral for f(x) = 4(-1sin(3\u03c0(-1x + 3) - 3) + 3) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7*x - 4*cos(3*pi*(3 - x) - 3)/(3*pi)", "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": "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": "What is the symbolic antiderivative of the function f(x) = 5(-3sin(1\u03c0(-4x + 2) + 1) + 1) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15*cos(pi*(2 - 4*x) + 1)/(4*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(1x + 2)^2 + 5(1x + 2) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 + 21*x**2/2 + 29*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3x + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1x^2 + 1x - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/3 + x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2(-5x^2 - 5x) - 3)/(3(-5x^2 - 5x) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 + sqrt(105)*log(x - sqrt(105)/30 + 1/2)/63 - sqrt(105)*log(x + sqrt(105)/30 + 1/2)/63", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(4(4x^2 - 1x) + 5) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64*x**3/3 - 8*x**2 + 19*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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 - x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3e^(-1(4x)) + 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + 3*exp(-4*x)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2(-1e^(1x)) + 1)/(1(-1e^(1x))). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + exp(-x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(4x - 3)^2 - 4(4x - 3) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16*x**3/3 + 4*x**2 + 7*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2((-2x + 2)/(-1x - 2)) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + 12*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3(-1x^2 + 1x - 1) + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3 + 3*x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5(4((-1x - 2)/(1x))^2 - 5((-1x - 2)/(1x)) + 3)^2 + 3(4((-1x - 2)/(1x))^2 - 5((-1x - 2)/(1x)) + 3) + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761*x + 3198*log(x) + (-16044*x**2 - 6240*x - 1280)/(3*x**3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3(-2e^(-2((1x + 1)/(1x + 1)))) - 1)/(-1(-2e^(-2((1x + 1)/(1x + 1)))) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x*(-1 + 6*exp(-2))/(-2 + 2*exp(-2))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x - 1)/(2x + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + log(x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5x + 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**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -4(5(-1x + 5)^2 + 4(-1x + 5) + 2) + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20*x**3/3 + 108*x**2 - 584*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 - 4x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 - 2*x**2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3(5x + 4) + 2)/(-2(5x + 4) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x/2 + log(x + 1)/10", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4x^2 + 2x + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 + x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(1(-1x + 4)^2 + 5(-1x + 4) - 5) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/3 + 13*x**2/2 - 34*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2(-5(-5x + 2)^2 + 4(-5x + 2) - 1) + 1)/(-1(-5(-5x + 2)^2 + 4(-5x + 2) - 1) + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + sqrt(11)*atan(25*sqrt(11)*x/11 - 8*sqrt(11)/11)/11", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2x with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5(3x^2 + 1x - 4)^2 + 2(3x^2 + 1x - 4) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x**5 + 15*x**4/2 - 109*x**3/3 - 19*x**2 + 74*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1x - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 3)/(-3x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 - 10*log(3*x + 1)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2e^(2(-1x^2 - 4x + 2)) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + sqrt(2)*sqrt(pi)*exp(12)*erf(sqrt(2)*(4*x + 8)/4)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(5(-2x^2 + 2x + 4)^2 - 5(-2x^2 + 2x + 4) + 5) + 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20*x**5 - 50*x**4 - 250*x**3/3 + 175*x**2 + 327*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2(-4x^2 + 1x - 2) - 2)/(-1(-4x^2 + 1x - 2) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2(2x + 4) + 2)/(1(2x + 4) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + 3*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3e^(-1(-5x^2 - 3x)) + 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x + 3*sqrt(5)*sqrt(pi)*exp(-9/20)*erfi(sqrt(5)*(10*x + 3)/10)/10", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x^2 - 4x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 - 2*x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2(4x^2 - 5x - 5) + 2)/(-3(4x^2 - 5x - 5) + 4). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - 2*sqrt(1137)*log(x - 5/8 + sqrt(1137)/24)/3411 + 2*sqrt(1137)*log(x - sqrt(1137)/24 - 5/8)/3411", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(-2((3x + 1)/(-3x + 2)) - 2) + 3)/(2(-2((3x + 1)/(-3x + 2)) - 2) - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x - 14*log(3*x - 14)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5x^2 + 1x + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 + x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-3(5x^2 + 2x - 3) - 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20*x**3 - 12*x**2 + 24*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3((-1((3x - 1)/(2x + 1)))/(-1((3x - 1)/(2x + 1)) - 3)) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + 5*log(9*x + 2)/9", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(2(1x + 3)^2 - 3(1x + 3)) - 2)/(-1(2(1x + 3)^2 - 3(1x + 3)) + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + 8*sqrt(33)*log(x - sqrt(33)/4 + 9/4)/33 - 8*sqrt(33)*log(x + sqrt(33)/4 + 9/4)/33", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(-3((-2x)/(3x - 2)) + 3)^2 - 3(-3((-2x)/(3x - 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": "-35*x - 52*log(3*x - 2)/3 + 16/(9*x - 6)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2x^2 - 2x + 5. 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 - x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-5(3x + 1) + 3)^2 + 4(-5(3x + 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": "300*x**3 + 90*x**2 + 10*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3(4(1e^(2x)) + 5)^2 - 3(4(1e^(2x)) + 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": "58*x + 12*exp(4*x) + 54*exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(1e^(1x) - 3) + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8*x - exp(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5((3(4x^2 - 5x + 2) + 1)/(-1(4x^2 - 5x + 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": "19*x - 7*log(x) + 7*log(x - 5/4)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(-1e^(1x) + 1)^2 - 3(-1e^(1x) + 1) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + 5*exp(2*x)/2 - 7*exp(x)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "5*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1e^(-2(5x^2 + 1x - 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 - sqrt(10)*sqrt(pi)*exp(21/10)*erf(sqrt(10)*(20*x + 2)/20)/20", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3(3x^2 + 4x - 4))/(-3(3x^2 + 4x - 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": "x - sqrt(5)*log(x + 2/3 + 2*sqrt(5)/3)/15 + sqrt(5)*log(x - 2*sqrt(5)/3 + 2/3)/15", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(4(3e^(-1x) + 2)^2 + 5(3e^(-1x) + 2))^2 - 2(4(3e^(-1x) + 2)^2 + 5(3e^(-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": "624*x - 3150*exp(-x) - 5769*exp(-2*x)/2 - 1512*exp(-3*x) - 324*exp(-4*x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2((-3((-1x + 2)/(-2x + 3)) + 1)/(-1((-1x + 2)/(-2x + 3)) - 2)) - 1)/(-1((-3((-1x + 2)/(-2x + 3)) + 1)/(-1((-1x + 2)/(-2x + 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": "7*x + 7*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1((3x)/(1x)) + 2)/(3((3x)/(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/12", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3cos(3\u03c0(4((-2x)/(2x))) + 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 - 3*cos(2))", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1(-5((2x + 2)/(1x + 3)) + 3) - 3)/(-1(-5((2x + 2)/(1x + 3)) + 3) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x/9 - 100*log(9*x + 7)/81", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(1x + 2)^2 + 5(1x + 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 + x**2/2 + 6*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4(-1x^2 - 3x - 4) - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 - 6*x**2 - 17*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3e^(-2(5x^2 - 3x - 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 - 3*sqrt(10)*sqrt(pi)*exp(49/10)*erf(sqrt(10)*(20*x - 6)/20)/20", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1x^2 + 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": "-x**3/3 + 5*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2x + 2)/(1x + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 4*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2(-5((-1x + 1)/(-1x + 2))^2 + 2((-1x + 1)/(-1x + 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": "-4*x - 16*log(x - 2) + 10/(x - 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2((3(3x^2 + 2x - 1))/(-1(3x^2 + 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": "-6*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3x + 2)/(-1x)) 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*log(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1(-3((-1x - 2)/(3x + 1)) - 3) + 1)/(3(-3((-1x - 2)/(3x + 1)) - 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": "-x - 10*log(3*x - 4)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1x - 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": "x/2 - 7*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x^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}", "role": "user"}], "ground_truth": "x**3 + x**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3((-1x + 3)/(-2x - 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": "5*x/2 - 6*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(2(5x^2 + 4) + 5) - 3)/(1(2(5x^2 + 4) + 5) - 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*atan(x)/5", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x - 1)/(-2x + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2 + 5*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3((3x + 2)/(-2x + 3)) + 3)/(-3((3x + 2)/(-2x + 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/17 - 273*log(17*x - 6)/289", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5((-1x + 1)/(-1x + 2))^2 + 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x + 10*log(x - 2) - 5/(x - 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3x + 2)/(-3x + 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - 2*log(3*x - 4)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x - 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": "-x/2 - 5*log(2*x + 1)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 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**3/3 - 3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2x^2 - 1x - 4. 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 - x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5(-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": "5*x**2 + 6*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5x^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": "5*x**3/3 - x**2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(-4((-2x - 1)/(-2x)) + 2)^2 + 5(-4((-2x - 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": "-6*x - 2*log(x) - 4/x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4x 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3(1cos(1\u03c0(-1x + 1) - 1) + 3) - 1)/(-2(1cos(1\u03c0(-1x + 1) - 1) + 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": "3*x/2 + 11*sqrt(5)*(atan(sqrt(5)*tan(pi*x/2 + 1/2)) + pi*floor((pi*x/2 - pi/2 + 1/2)/pi))/(5*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1((1x - 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": "x/3 - 4*log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-3x + 4) - 2. 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 + 10*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1cos(1\u03c0(1x - 3) - 1) + 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + sin(pi*(x - 3) - 1)/pi", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x - 1)/(3x - 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 - log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2(-1((1x - 2)/(-2x + 3)) - 2)^2 - 3(-1((1x - 2)/(-2x + 3)) - 2) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8*x + 9*log(2*x - 3)/4 - 1/(8*x - 12)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1(-1e^(1x) + 3) - 1)/(-1(-1e^(1x) + 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": "-2*x + log(exp(x) - 1)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(-2e^(1(-2x^2 + 5x + 2)) + 1) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - sqrt(2)*sqrt(pi)*exp(41/8)*erf(sqrt(2)*(4*x - 5)/4)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4((2x - 2)/(-1x + 3))^2 - 3((2x - 2)/(-1x + 3)) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25*x + 76*log(x - 3) - 64/(x - 3)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 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}", "role": "user"}], "ground_truth": "5*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(2x^2 + 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": "2*x**3 + 3*x**2/2 + 15*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2x - 3)/(-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 + 13*log(3*x + 2)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2x - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(1(-3x^2 - 1x + 2) + 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": "-5*x**3 - 5*x**2/2 + 31*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5((-2x + 1)/(-2x + 3))^2 + 4((-2x + 1)/(-2x + 3)) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x - 6*log(2*x - 3) + 10/(2*x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x)/(-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": "x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3cos(3\u03c0((2x - 1)/(2x - 1)) - 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 - 3*cos(2))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2x)/(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": "x - 3*log(2*x + 3)/2", "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": "Find the indefinite integral of f(x) = 4x - 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": "2*x**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": "What is the symbolic antiderivative of the function f(x) = 4((3((2x - 2)/(2x + 2)) + 1)/(-1((2x - 2)/(2x + 2)) + 2))^2 - 3((3((2x - 2)/(2x + 2)) + 1)/(-1((2x - 2)/(2x + 2)) + 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": "56*x - 406*log(x + 3) - 784/(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2e^(-1(2x^2 - 3x - 5)) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + sqrt(2)*sqrt(pi)*exp(49/8)*erf(sqrt(2)*(4*x - 3)/4)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x)/(-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 + 4*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -5(2sin(1\u03c0(2x + 4) - 2) + 1)^2 + 1(2sin(1\u03c0(2x + 4) - 2) + 1) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10*x*sin(2*pi*x - 2)**2 - 10*x*cos(2*pi*x - 2)**2 - 5*x + 5*sin(2*pi*x - 2)*cos(2*pi*x - 2)/pi + 10*cos(2*pi*x - 2)/pi - cos(pi*(2*x + 4) - 2)/pi", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(-4(2x - 4) - 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": "320*x**3/3 - 560*x**2 + 976*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1cos(1\u03c0(1(-3x + 4) + 1) + 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": "x + sin(pi*(5 - 3*x) + 2)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3cos(3\u03c0(-4x - 1) - 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(3*pi*(-4*x - 1) - 2)/(4*pi)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3(2x^2 - 4x + 5) - 2)/(-3(2x^2 - 4x + 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": "x + sqrt(6)*atan(sqrt(6)*x/3 - sqrt(6)/3)/9", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3(-2e^(1x) - 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": "-13*x - 6*exp(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(-4((-1x - 1)/(1x + 2))^2 + 4((-1x - 1)/(1x + 2)) - 5)^2 - 3(-4((-1x - 1)/(1x + 2))^2 + 4((-1x - 1)/(1x + 2)) - 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": "-134*x - (-708*x**2 - 2688*x - 2560)/(3*x**3 + 18*x**2 + 36*x + 24) + 276*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1e^(1(-2x)) + 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 + exp(-2*x)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 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": "3*x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2(-2e^(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": "5*x + 4*exp(x)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(-1x^2 + 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**3 + 7*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((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": "2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3(-3e^(-1(1x - 3)) + 3) + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x - 9*exp(3 - x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2x - 1)/(-1x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 7*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2x^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": "-2*x**3/3 + 3*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(-3x - 2) + 2)/(-1(-3x - 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3((2((-1x - 1)/(1x - 3)) - 2)/(3((-1x - 1)/(1x - 3)) + 3))^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**3/9 + x**2/3 - 10*x/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2x)/(-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*log(2*x + 3)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1e^(2(2(3x - 2) - 5)) + 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 - exp(12*x - 18)/12", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1(4x^2 + 4x - 3) + 1)/(-2(4x^2 + 4x - 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": "x/2 - sqrt(22)*log(x + 1/2 + sqrt(22)/4)/176 + sqrt(22)*log(x - sqrt(22)/4 + 1/2)/176", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2(-1cos(3\u03c0(4x - 5) - 1) + 1)^2 + 4(-1cos(3\u03c0(4x - 5) - 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": "x*sin(12*pi*x - 1)**2 + x*cos(12*pi*x - 1)**2 + 4*x + sin(12*pi*x - 1)*cos(12*pi*x - 1)/(12*pi) + sin(12*pi*x - 1)/(3*pi) - sin(3*pi*(4*x - 5) - 1)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4(2x + 2)^2 - 4(2x + 2) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16*x**3/3 + 12*x**2 + 10*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1x^2 - 2x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2cos(3\u03c0(1x + 4) + 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": "-3*x + 2*sin(3*pi*(x + 4) + 3)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(-2x - 4) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2 - 6*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x - 3)/(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 - 6*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3(4((2x - 1)/(-2x)) + 3)^2 + 1(4((2x - 1)/(-2x)) + 3) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7*x + 14*log(x) + 12/x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x - 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**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(-1x^2 - 1x + 3)^2 - 4(-1x^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": "x**5 + 5*x**4/2 - 7*x**3 - 13*x**2 + 37*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3(-2e^(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}", "role": "user"}], "ground_truth": "11*x - 3*exp(2*x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x^2 + 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": "4*x**3/3 + 3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^2 - 4x + 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**3/3 - 2*x**2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4(-4x - 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": "8*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x - 2*log(x)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3(-4(-4x + 3)^2 + 4(-4x + 3) - 5) - 2)/(-2(-4(-4x + 3)^2 + 4(-4x + 3) - 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 - atan(4*x - 5/2)/16", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(-2cos(2\u03c0(5x + 3)) + 3) - 1)/(2(-2cos(2\u03c0(5x + 3)) + 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 - (atan(3*tan(5*pi*x)) + pi*floor((5*pi*x - pi/2)/pi))/(30*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3(-1(1x^2 + 2x + 1) + 1) - 3)/(-1(-1(1x^2 + 2x + 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": "-3*x + 3*atan(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(-4(4x^2 + 1x - 5)^2 + 3(4x^2 + 1x - 5) - 2) + 1)/(1(-4(4x^2 + 1x - 5)^2 + 3(4x^2 + 1x - 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": "3*x + RootSum(4052669*_t**4 + 4002*_t**2 + 1, Lambda(_t, _t*log(15329661*_t**3/16 + 7477*_t/16 + x + 1/8)))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3(5((-2x)/(-2x - 3)) + 3)^2 - 4(5((-2x)/(-2x - 3)) + 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": "-228*x + 390*log(2*x + 3) + 675/(4*x + 6)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1((2(-3x^2 - 1x) + 2)/(1(-3x^2 - 1x) + 2)) - 3)/(-1((2(-3x^2 - 1x) + 2)/(1(-3x^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": "5*x/3 + 4*sqrt(17)*log(x + 1/6 + sqrt(17)/6)/153 - 4*sqrt(17)*log(x - sqrt(17)/6 + 1/6)/153", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -4x - 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": "-2*x**2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3((3x - 3)/(3x - 1)) - 1)/(3((3x - 3)/(3x - 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": "-4*x - 6*log(3*x - 7)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(-1x^2 + 3x - 5) + 2)/(-3(-1x^2 + 3x - 5) - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 + 14*sqrt(87)*atan(2*sqrt(87)*x/29 - 3*sqrt(87)/29)/261", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3x + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5x - 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": "-5*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2(5((1x + 3)/(2x + 3)) + 5) - 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17*x - 15*log(2*x + 3)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3x - 3)/(-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": "3*x/2 + 3*log(2*x + 1)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1((1(-2x - 2) + 1)/(2(-2x - 2) + 3)). 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(4*x + 1)/8", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3((1(3x - 1) - 3)/(-3(3x - 1) - 3)) + 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 - 4*log(x)/3", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3x^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 + 3*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(-3x^2 - 1x - 3) + 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**3 + x**2/2 + 8*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1((1x)/(2x - 3))^2 + 1((1x)/(2x - 3)) - 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/4 + 3*log(2*x - 3)/2 - 9/(16*x - 24)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(-2((2x + 2)/(-1x - 2))^2 + 1((2x + 2)/(-1x - 2)))^2 - 2(-2((2x + 2)/(-1x - 2))^2 + 1((2x + 2)/(-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": "120*x + (-1500*x**2 - 5568*x - 5200)/(3*x**3 + 18*x**2 + 36*x + 24) - 396*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(1(1x + 3) + 4) - 3. 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) = (-1(2x^2 + 2x - 1))/(-1(2x^2 + 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": "x - sqrt(7)*log(x + 1/2 + sqrt(7)/2)/7 + sqrt(7)*log(x - sqrt(7)/2 + 1/2)/7", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x)/(-3x - 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(x + 1)/3", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2(3x + 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 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3x - 1)/(-1x + 2). 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*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1x. 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", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3(4x + 1))/(3(4x + 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": "x - log(12*x + 5)/6", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5x - 5) 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**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(-2((1x - 2)/(-2x + 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": "-13*x + 5*log(2*x - 3)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^2 - 1x + 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": "x**3 - x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-2cos(3\u03c0(1x - 3) - 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": "2*x - 2*sin(3*pi*(x - 3) - 3)/(3*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4x^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**3/3 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1x)/(-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/2 + 3*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 - 3x - 1. 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 - x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1x^2 - 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**3/3 - x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x^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 + 3*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1((2x - 3)/(-2x + 3)) + 3)/(1((2x - 3)/(-2x + 3)) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x/3", "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 + 4*log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(5((-2x)/(1x + 2))^2 + 2((-2x)/(1x + 2))) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12*x + 72*log(x + 2) + 80/(x + 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 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}", "role": "user"}], "ground_truth": "5*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3(2(-3e^(-1x) + 3) - 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": "9*x + 18*exp(-x)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-5*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x + 3)/(1x)) 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)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x - 3)/(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 - 6*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3x^2 - 1x + 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 - x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4x - 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": "2*x**2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1x^2 - 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**3/3 - x**2 - x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5x + 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": "5*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1e^(2(5x^2 - 5x + 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": "-sqrt(10)*sqrt(pi)*exp(3/2)*erfi(sqrt(10)*(20*x - 10)/20)/20", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1((-1x + 3)/(2x + 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": "-5*x/2 - 2*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1(5x^2 + 5x + 3) - 3)/(-2(5x^2 + 5x + 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/2 + 3*sqrt(65)*atan(2*sqrt(65)*x/13 + sqrt(65)/13)/130", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2x^2 - 3x - 4) 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**3/3 - 3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(1e^(2x) - 1) + 1)/(-1(1e^(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": "-2*x/3 - 7*log(exp(2*x) - 3)/6", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3e^(-2(-2(-2x + 5) - 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 + 3*exp(22 - 8*x)/8", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2e^(1(2((-1x - 1)/(-2x - 2)) - 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*(2 - 2*exp(2))*exp(-2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1x + 2)/(2x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2 + 5*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4x^2 + 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 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-2(2x^2 + 3x - 2) + 1)/(-1(2x^2 + 3x - 2) - 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 - 5*log(x)/3 + 5*log(x + 3/2)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1((-3((-2x - 2)/(3x - 1)) - 3)/(-1((-2x - 2)/(3x - 1)) - 2)))/(-2((-3((-2x - 2)/(3x - 1)) - 3)/(-1((-2x - 2)/(3x - 1)) - 2)) + 3). 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*log(x + 1)", "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": "Find the indefinite integral of f(x) = (-2x - 1)/(-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": "x + log(2*x - 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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": "x**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(-1x + 3)^2 - 3(-1x + 3) - 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/3 + 9*x**2/2 - 21*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1x^2 - 4x + 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**3/3 - 2*x**2 + 5*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "2*x/3 + 5*log(3*x + 2)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(1x^2 + 3x - 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": "-x**3/3 - 3*x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(4x^2 + 5x + 1) + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 - 5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(-2x^2 - 1x - 4) + 4. 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 - x**2/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3e^(1(2(5x)^2 - 1(5x) + 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": "2*x + 3*sqrt(2)*sqrt(pi)*exp(31/8)*erfi(sqrt(2)*(100*x - 5)/20)/20", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1((2x - 3)/(-3x + 2))^2 - 3((2x - 3)/(-3x + 2)) - 4. 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 - 65*log(3*x - 2)/27 - 25/(81*x - 54)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5x^2 - 3x - 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 - 3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2x^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}", "role": "user"}], "ground_truth": "-2*x**3/3 + 5*x**2/2 - 3*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": "Compute the indefinite integral for f(x) = 5((-1(-5x^2 + 5x - 5) + 1)/(-1(-5x^2 + 5x - 5) - 2))^2 - 2((-1(-5x^2 + 5x - 5) + 1)/(-1(-5x^2 + 5x - 5) - 2)) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x + (90*x - 45)/(35*x**2 - 35*x + 21) + 516*sqrt(35)*atan(2*sqrt(35)*x/7 - sqrt(35)/7)/245", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3((1((-3x)/(3x)) - 3)/(-3((-3x)/(3x)) - 2))^2 - 1((1((-3x)/(3x)) - 3)/(-3((-3x)/(3x)) - 2)) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4(-3x - 4) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x**2 + 11*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -4((1(-3x + 3) + 2)/(2(-3x + 3) - 3)) - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + 7*log(2*x - 1)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(1x^2 - 3x + 3) + 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**3/3 + 6*x**2 - 11*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-3((-1x - 3)/(3x - 2)))/(1((-1x - 3)/(3x - 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": "-3*x/7 - 66*log(7*x - 1)/49", "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": "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": "Determine \u222b((1(1e^(-1x) + 3) + 2)/(2(1e^(-1x) + 3))) 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/6 + log(3 + exp(-x))/3", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 2)/(-3x)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - 2*log(x)/3", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x^2 + 3x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**3/3 + 3*x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2cos(2\u03c0(2(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 - sin(2*pi*(8*x - 4) - 2)/(8*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5(-2e^(1(-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 - 2*exp(3 - 5*x)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(-5x^2 + 4x - 2)^2 - 4(-5x^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": "5*x**5 - 10*x**4 + 56*x**3/3 - 16*x**2 + 13*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(-3x^2 - 1x - 2) - 1)/(-1(-3x^2 - 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 + 2*sqrt(47)*atan(6*sqrt(47)*x/47 + sqrt(47)/47)/47", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2x^2 + 2x + 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": "-2*x**3/3 + x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2(-2sin(3\u03c0(-1x + 5) + 1) + 2) - 3)/(1(-2sin(3\u03c0(-1x + 5) + 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": "-12*pi*x*tan(3*pi*x/2 - 1/2)/(6*pi*tan(3*pi*x/2 - 1/2) - 6*pi) + 12*pi*x/(6*pi*tan(3*pi*x/2 - 1/2) - 6*pi) - 8/(6*pi*tan(3*pi*x/2 - 1/2) - 6*pi) + 7/(3*pi*tan(3*pi*x/2 - 1/2) - 3*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1((-3x - 2)/(3x + 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": "4*x + log(x + 1)/3", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3((1((1x - 3)/(3x + 2)))/(1((1x - 3)/(3x + 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", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3((-3((3x - 2)/(1x)) + 1)/(3((3x - 2)/(1x)) + 2))^2 - 1((-3((3x - 2)/(1x)) + 1)/(3((3x - 2)/(1x)) + 2)) + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259*x/121 + 666*log(11*x - 6)/1331 + 972/(14641*x - 7986)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -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}", "role": "user"}], "ground_truth": "-5*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(2(4x + 1)) + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4*x**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3e^(-1(-1x^2 - 5x - 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": "3*x - 3*sqrt(pi)*exp(-17/4)*erfi(x + 5/2)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2(-5((-2x + 3)/(-2x + 3)) - 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": "-11*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(4x^2 + 5)^2 + 3(4x^2 + 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": "-16*x**5/5 - 28*x**3/3 - 11*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1cos(1\u03c0(2x - 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": "3*x - sin(pi*(2*x - 4))/(2*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(-2x^2 + 1x - 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": "2*x**3/3 - x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(1e^(1x) + 3)^2 + 2(1e^(1x) + 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": "-2*x - exp(2*x)/2 - 4*exp(x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5x^2 + 2x + 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**3/3 + x**2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2(-1((1x + 1)/(-2x - 1))^2 + 4((1x + 1)/(-2x - 1)) + 2) + 2)/(3(-1((1x + 1)/(-2x - 1))^2 + 4((1x + 1)/(-2x - 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": "10*x + (80 - 604*sqrt(57)/57)*log(x - 7 + sqrt(57)) + (80 + 604*sqrt(57)/57)*log(x - sqrt(57) - 7)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(-3(-5x + 3) - 3) + 1)/(-1(-3(-5x + 3) - 3) + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + log(15*x - 14)/5", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -2e^(1(1x^2 + 3x - 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": "3*x - sqrt(pi)*exp(-13/4)*erfi(x + 3/2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1cos(1\u03c0((-2(-5x^2 + 2x - 1) - 2)/(-2(-5x^2 + 2x - 1) - 2)) + 3) - 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 + cos(3))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3cos(2\u03c0(-1(-1x + 5) + 3) + 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": "-3*x - 3*sin(2*pi*(x - 2) + 2)/(2*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1((2(-5x^2 - 2x - 2) + 1)/(-3(-5x^2 - 2x - 2) + 1)) + 1)/(3((2(-5x^2 - 2x - 2) + 1)/(-3(-5x^2 - 2x - 2) + 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/9 - 20*sqrt(71)*atan(15*sqrt(71)*x/71 + 3*sqrt(71)/71)/1917", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3cos(1\u03c0(-4x + 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 - 3*sin(pi*(4*x - 3))/(4*pi)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x - 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**2 - 2*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": "Determine \u222b((-3x - 3)/(-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": "3*x/2 + 9*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x^2 - 5x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**3/3 - 5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1x^2 + 2x + 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": "-x**3/3 + x**2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(-3cos(1\u03c0(-2x + 1) + 3) - 1) + 2)/(1(-3cos(1\u03c0(-2x + 1) + 3) - 1)) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - sqrt(2)*log(tan(pi*x - 3/2) - sqrt(2)/2)/(4*pi) + sqrt(2)*log(tan(pi*x - 3/2) + sqrt(2)/2)/(4*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x)/(-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 + 4*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1(4x - 1) + 1)/(2(4x - 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/2 + 3*log(8*x - 1)/16", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (3(5(-2x^2 - 4x - 4) + 2) - 1)/(-2(5(-2x^2 - 4x - 4) + 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/2 + 7*sqrt(95)*atan(2*sqrt(95)*x/19 + 2*sqrt(95)/19)/380", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(-2(3x^2 - 5x)^2 + 3(3x^2 - 5x) + 4) + 1)/(2(-2(3x^2 - 5x)^2 + 3(3x^2 - 5x) + 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 - RootSum(21167152*_t**4 - 11152*_t**2 + 1, Lambda(_t, _t*log(4388312*_t**3/9 - 1525*_t/9 + x - 5/6)))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1(3x^2 - 2x + 4) + 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 + x**2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x)/(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", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 + 5x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 + 5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(3((2x)/(3x - 2))^2 + 1((2x)/(3x - 2)) + 2) - 2)/(-1(3((2x)/(3x - 2))^2 + 1((2x)/(3x - 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": "3*x - 4*log(x) + 16*log(x - 2/9)/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1x^2 + 4x - 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 + 2*x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4x^2 - 1x + 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**3/3 - x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3(-1e^(2x)) + 3)/(2(-1e^(2x))) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x/2 + 3*exp(-2*x)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(-5(4x^2 - 4)^2 - 3(4x^2 - 4) + 5) + 3)/(-1(-5(4x^2 - 4)^2 - 3(4x^2 - 4) + 5) + 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - RootSum(15844608*_t**4 - 204240*_t**2 + 625, Lambda(_t, _t*log(-1062048*_t**3/125 + 1438*_t/25 + x)))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2((-2(-4x^2 + 2x + 5) + 1)/(3(-4x^2 + 2x + 5) - 2))^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": "35*x/9 + (1 - 4*x)/(5940*x**2 - 2970*x - 6435) + 74*sqrt(165)*log(x - 1/4 + sqrt(165)/12)/27225 - 74*sqrt(165)*log(x - sqrt(165)/12 - 1/4)/27225", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-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 + 5*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-2(-1x - 3)^2 - 5(-1x - 3) + 3)^2 + 1(-2(-1x - 3)^2 - 5(-1x - 3) + 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": "-4*x**5/5 - 7*x**4 - 17*x**3 - 7*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1x^2 + 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": "-x**3/3 + x**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2(2(5x^2 - 1x - 1)^2 + 5(5x^2 - 1x - 1) + 2) + 2)/(-1(2(5x^2 - 1x - 1)^2 + 5(5x^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": "-2*x + 2*sqrt(11)*log(x - 1/10 + sqrt(11)/10)/33 - 2*sqrt(11)*log(x - sqrt(11)/10 - 1/10)/33 + 4*sqrt(19)*atan(10*sqrt(19)*x/19 - sqrt(19)/19)/57", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-3x - 3)/(-1x). 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*log(x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-2e^(1x) + 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": "-5*x + 2*exp(x)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5(2x^2 + 1x - 4) + 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": "10*x**3/3 + 5*x**2/2 - 16*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1x - 1)/(-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": "-x/3 + 4*log(3*x + 1)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3((1x - 1)/(1x - 3)) - 1)/(-2((1x - 1)/(1x - 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/5 - 22*log(5*x - 11)/25", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-4(1x + 5)^2 + 2(1x + 5) - 2)^2 + 1(-4(1x + 5)^2 + 2(1x + 5) - 2) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48*x**5/5 + 228*x**4 + 6536*x**3/3 + 10469*x**2 + 25301*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 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": "x**3/3 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3((2(3x^2 - 2x + 1))/(1(3x^2 - 2x + 1) + 3))^2 - 5((2(3x^2 - 2x + 1))/(1(3x^2 - 2x + 1) + 3)) - 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - (54 - 162*x)/(33*x**2 - 22*x + 44) - 300*sqrt(11)*atan(3*sqrt(11)*x/11 - sqrt(11)/11)/121", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2e^(-2(2(4x^2 + 4x - 4) + 5)) + 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 - sqrt(pi)*exp(10)*erf(4*x + 2)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 2)/(-1x + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x + 11*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1x - 3)/(-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*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2x^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": "2*x**3/3 + 3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3((-2x - 1)/(2x - 3))^2 - 2((-2x - 1)/(2x - 3)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7*x + 16*log(2*x - 3) - 24/(2*x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^2 + 1x + 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": "x**3 + x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1((-3x + 2)/(2x + 3)) + 3? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x/2 + 13*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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": "x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -4(4((-1x)/(2x - 1))^2 + 2((-1x)/(2x - 1)) - 5) - 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15*x - 2*log(2*x - 1) + 2/(2*x - 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -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}", "role": "user"}], "ground_truth": "-x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x - 3)/(-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": "-3*x - 3*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2(-1(-5x + 1)^2 - 1(-5x + 1) - 3)^2 + 3(-1(-5x + 1)^2 - 1(-5x + 1) - 3) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250*x**5 - 375*x**4 + 875*x**3/3 - 255*x**2/2 + 34*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5((1x - 3)/(1x - 3))^2 - 2((1x - 3)/(1x - 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", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2(2x - 4)^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": "-8*x**3/3 + 16*x**2 - 33*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3cos(3\u03c0(-5x - 2) + 1) - 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 - sin(3*pi*(-5*x - 2) + 1)/(5*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2x - 1)/(-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": "-2*x + 3*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(-4((3x + 1)/(-1x + 2))^2 + 2((3x + 1)/(-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": "205*x + 910*log(x - 2) - 980/(x - 2)", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2(2x^2 + 5x - 4) - 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**3/3 - 5*x**2 + 7*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-4x + 4) 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 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(4x - 2) + 1)/(1(4x - 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 - log(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": "Compute the indefinite integral for f(x) = 4((-2(4x - 1) + 2)/(2(4x - 1)))^2 - 3((-2(4x - 1) + 2)/(2(4x - 1))) - 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 - 11*log(4*x - 1)/4 - 1/(4*x - 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3x - 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**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4(-4x - 3)^2 + 3(-4x - 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": "64*x**3/3 + 42*x**2 + 28*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2cos(1\u03c0(-5x + 5) - 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": "-2*x - 2*sin(pi*(5 - 5*x) - 3)/(5*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3x^2 - 5x + 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**3 - 5*x**2/2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x - 3)/(-3x + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 + 10*log(3*x - 1)/9", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-5x^2 + 4x - 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 + 2*x**2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2(-1x + 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": "-x**2 + 8*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2(-4(-2e^(1x) + 2) + 2) - 3)/(2(-4(-2e^(1x) + 2) + 2) + 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15*x/11 - 4*log(exp(x) - 11/16)/11", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5x^2 - 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": "5*x**3/3 - 3*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5((2(2x) - 3)/(1(2x) - 2))^2 + 2((2(2x) - 3)/(1(2x) - 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": "27*x + 11*log(x - 1) - 5/(4*x - 4)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x - 3)/(1x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - 6*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1x + 2)/(-2x) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 - log(x)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1(3x^2 - 2x - 2)^2 + 3(3x^2 - 2x - 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": "-9*x**5/5 + 3*x**4 + 17*x**3/3 - 7*x**2 - 9*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1((3(-1x - 2) + 1)/(2(-1x - 2) + 2))^2 + 4((3(-1x - 2) + 1)/(2(-1x - 2) + 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": "11*x/4 + log(x + 1) + 1/(x + 1)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2(1x^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}", "role": "user"}], "ground_truth": "-2*x**3/3 - 2*x**2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3(-3((-2x - 2)/(-3x + 1)) - 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": "-6*x - 8*log(3*x - 1)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3x + 2)/(-1x + 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 - 11*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2x - 2)/(-2x). 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)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2x + 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 + 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -4x^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": "-4*x**3/3 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-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/3 + 4*log(3*x - 2)/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5x 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", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((3(-1x) - 3)/(-2(-1x) - 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 - 15*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-1((2((2x - 1)/(1x)) + 3)/(-2((2x - 1)/(1x)) + 1)) + 2)/(3((2((2x - 1)/(1x)) + 3)/(-2((2x - 1)/(1x)) + 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": "-13*x/12 + log(x)/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x^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": "x**3 + x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(-4((3x + 3)/(-1x - 1)) + 1) - 1)/(-3(-4((3x + 3)/(-1x - 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": "-4*x/13", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2(-2x) + 2)/(3(-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": "2*x/3 - 5*log(3*x + 1)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-2x^2 + 3x + 1)^2 + 1(-2x^2 + 3x + 1) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12*x**5/5 - 9*x**4 + 13*x**3/3 + 21*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -5(-5(-2x^2 + 1x - 3) - 3)^2 - 5(-5(-2x^2 + 1x - 3) - 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": "-100*x**5 + 125*x**4 - 1375*x**3/3 + 625*x**2/2 - 783*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1(3sin(2\u03c0((-1x - 2)/(1x + 2)) + 1) + 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": "3*x*sin(1) + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(2((2x + 1)/(-2x + 3))^2 - 5((2x + 1)/(-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": "7*x + 18*log(2*x - 3) - 16/(2*x - 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1(-2x^2 - 2x). 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 - x**2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3(-1x^2 + 5x + 2)^2 - 5(-1x^2 + 5x + 2) + 1. 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 + 68*x**3/3 + 35*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3((-2x + 1)/(1x - 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": "-3*x - 9*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3x - 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 5((3(1x^2 + 4x + 3) + 1)/(-2(1x^2 + 4x + 3) + 1))^2 - 4((3(1x^2 + 4x + 3) + 1)/(-2(1x^2 + 4x + 3) + 1)) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61*x/4 + (-125*x - 250)/(48*x**2 + 192*x + 120) + 1015*sqrt(6)*log(x - sqrt(6)/2 + 2)/288 - 1015*sqrt(6)*log(x + sqrt(6)/2 + 2)/288", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3x + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2((2x + 1)/(1x + 1)) + 2)/(1((2x + 1)/(1x + 1)) + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/2 + 3*log(4*x + 3)/8", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 4x^2 - 1x - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 - x**2/2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1x + 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": "-x/3 - 5*log(3*x + 1)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2x + 2)/(2x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - log(2*x + 3)/2", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5(5x^2 + 3x + 2)^2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25*x**5 - 75*x**4/2 - 145*x**3/3 - 30*x**2 - 20*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3x^2 + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 + 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((1(2e^(-1x) + 3) - 2)/(-1(2e^(-1x) + 3) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/6 + 5*log(3 + exp(-x))/6", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-1(3x - 1)^2 - 5(3x - 1) - 3)^2 + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81*x**5/5 - 81*x**4/2 - 21*x**3 + 9*x**2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 3)/(-3x + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 - 8*log(3*x - 1)/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3x + 1)/(1x + 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - 2*log(x + 1)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-5(-4x - 2)^2 + 1(-4x - 2) + 3) - 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80*x**3/3 + 42*x**2 + 15*x", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "-x**2/2 + 5*x", "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": "Find the indefinite integral of f(x) = (-2((3x + 1)/(3x + 2)) + 2)/(-3((3x + 1)/(3x + 2))) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*log(9*x + 3)/9", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2x - 1? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -1((-3x + 3)/(-2x - 1))^2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9*x/4 + 27*log(2*x + 1)/4 + 81/(16*x + 8)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1x + 3)/(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": "-x/3 + 8*log(3*x - 1)/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2x - 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(2x + 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": "x**2 + 2*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2((3(1x^2 + 2x + 1) - 2)/(3(1x^2 + 2x + 1) - 2))^2 + 4((3(1x^2 + 2x + 1) - 2)/(3(1x^2 + 2x + 1) - 2)) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (3x - 1)/(2x + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x/2 - 11*log(2*x + 3)/4", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (1(-1(-2cos(3\u03c0x - 1))^2 + 1(-2cos(3\u03c0x - 1)) + 3) + 3)/(1(-1(-2cos(3\u03c0x - 1))^2 + 1(-2cos(3\u03c0x - 1)) + 3) + 3) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(4(-4x^2 - 2x + 1)^2 + 1(-4x^2 - 2x + 1) + 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64*x**5/5 + 16*x**4 - 20*x**3/3 - 9*x**2 + 9*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -1(5(2x - 4)) - 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2 + 19*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": "3*x/2 + 13*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4((-3(-3x^2 + 4x - 1) + 1)/(2(-3x^2 + 4x - 1)))^2 + 2((-3(-3x^2 + 4x - 1) + 1)/(2(-3x^2 + 4x - 1))) + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10*x + (2 - 3*x)/(6*x**2 - 8*x + 2) + 7*log(x - 1)/4 - 7*log(x - 1/3)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -3x - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 - 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3x^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 + 2*x**2 + x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -2x - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2(-1(-3e^(-1x) + 2) + 3) + 3)/(2(-1(-3e^(-1x) + 2) + 3) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x - 6*log(-1/6 + exp(-x))", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1((3x - 2)/(3x + 1))^2 - 4((3x - 2)/(3x + 1)) - 4) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7*x + 2*log(3*x + 1) - 3/(3*x + 1)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2(-4(3x - 4) - 4) + 2)/(3(-4(3x - 4) - 4) - 2). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - 5*log(18*x - 17)/54", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x^2 - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 - 4*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": "Determine \u222b(1((2x - 2)/(2x + 1)) - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*log(2*x + 1)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (2x - 2)/(-1x + 3). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - 4*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = -3((-3(-2x^2 + 5x + 3))/(1(-2x^2 + 5x + 3) + 3)) - 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x - 27*sqrt(73)*log(x - 5/4 + sqrt(73)/4)/73 + 27*sqrt(73)*log(x - sqrt(73)/4 - 5/4)/73", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2(3x + 3))/(-3(3x + 3) + 4) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 + 8*log(9*x + 5)/27", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-2x - 1)/(-1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x + 5*log(x - 2)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -2(-3(-1x^2 - 1x - 3)^2 + 3(-1x^2 - 1x - 3) - 2)^2 + 5(-3(-1x^2 - 1x - 3)^2 + 3(-1x^2 - 1x - 3) - 2) - 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x**9 - 9*x**8 - 360*x**7/7 - 138*x**6 - 2127*x**5/5 - 1479*x**4/2 - 1550*x**3 - 3297*x**2/2 - 3080*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 2(-2(4x - 4)^2 - 4(4x - 4) + 3) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64*x**3/3 + 48*x**2 - 25*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (-3(4x - 5) + 2)/(3(4x - 5) - 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-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) = (2(2((-2x + 2)/(3x + 1))^2 + 3((-2x + 2)/(3x + 1)) + 2) + 1)/(2(2((-2x + 2)/(3x + 1))^2 + 3((-2x + 2)/(3x + 1)) + 2) - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25*x/11 - (96/121 - 736*sqrt(5)/605)*log(x + 1/11 + 8*sqrt(5)/11) - (96/121 + 736*sqrt(5)/605)*log(x - 8*sqrt(5)/11 + 1/11)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1(-3x - 1)^2 + 5(-3x - 1) - 2 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**3 - 21*x**2/2 - 8*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (1(4x - 4) - 2)/(-3(4x - 4) + 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x/3 + log(3*x - 4)/18", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2(-1x^2 - 5x + 1) - 1)/(2(-1x^2 - 5x + 1) + 1) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - sqrt(31)*log(x + 5/2 + sqrt(31)/2)/31 + sqrt(31)*log(x - sqrt(31)/2 + 5/2)/31", "dataset": "MATH"} {"messages": [{"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}", "role": "user"}], "ground_truth": "x + log(2*x - 1)/2", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5(3x - 1)^2 + 2(3x - 1) - 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15*x**3 - 12*x**2 - x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 5((2((-2x + 2)/(-2x + 3)) - 1)/(-2((-2x + 2)/(-2x + 3)) + 3))^2 + 4((2((-2x + 2)/(-2x + 3)) - 1)/(-2((-2x + 2)/(-2x + 3)) + 3)) + 2. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11*x + 28*log(2*x - 5) - 40/(2*x - 5)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1((2(-3x - 1) - 1)/(-2(-3x - 1)))^2 + 5) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6*x + log(3*x + 1)/3 - 1/(36*x + 12)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 3x^2 + 3x - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 + 3*x**2/2 - 5*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3x - 3)/(1x + 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2x - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**2 - 2*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2x)/(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 - 4*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 5(4x - 5)^2 + 1(4x - 5) - 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80*x**3/3 - 98*x**2 + 115*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(1(1((3x + 2)/(1x - 3)) + 1) - 3) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x + 11*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 2(1x^2 - 1)^2 - 1(1x^2 - 1) + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x**5/5 - 5*x**3/3 + 7*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -5((2((1x + 2)/(-1x - 2)) + 2)/(1((1x + 2)/(-1x - 2))))^2 + 5((2((1x + 2)/(-1x - 2)) + 2)/(1((1x + 2)/(-1x - 2)))) + 4. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1(-5x^2 - 4)^2 - 3(-5x^2 - 4) + 5? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5*x**5 + 55*x**3/3 + 33*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -1x^2 - 5x with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x**3/3 - 5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(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": "3*x**2/2 - 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 4(2e^(2(5x - 2)) + 1) + 5. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x + 4*exp(10*x - 4)/5", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-3(-4(-5x^2 - 4x - 5)^2 - 1(-5x^2 - 4x - 5) - 2)^2 + 5(-4(-5x^2 - 4x - 5)^2 - 1(-5x^2 - 4x - 5) - 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10000*x**9/3 - 12000*x**8 - 232200*x**7/7 - 57040*x**6 - 409703*x**5/5 - 84086*x**4 - 225041*x**3/3 - 45786*x**2 - 28712*x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-3(2sin(2\u03c0(1x + 1) - 2) - 2) - 2)/(1(2sin(2\u03c0(1x + 1) - 2) - 2) + 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x + 7*sqrt(3)*log(tan(pi*x - 1) - sqrt(3) + 2)/(6*pi) - 7*sqrt(3)*log(tan(pi*x - 1) + sqrt(3) + 2)/(6*pi)", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(-1((3x + 2)/(2x - 3)) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2 - 13*log(2*x - 3)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1(1(2x + 2)^2 + 2(2x + 2)) - 2)/(1(1(2x + 2)^2 + 2(2x + 2))). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - log(x + 1)/2 + log(x + 2)/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (2(4((3x - 3)/(-2x + 3)) - 3) + 2)/(-3(4((3x - 3)/(-2x + 3)) - 3) + 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16*x/31 - 42*log(62*x - 75)/961", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-1(-4x - 5))/(-2(-4x - 5) - 3)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/2 + 3*log(8*x + 7)/16", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 1x^2 + 5x - 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 + 5*x**2/2 - x", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2((-2x)/(1x)) - 3)/(-3((-2x)/(1x)) + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/8", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 4x^2 - 3x? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4*x**3/3 - 3*x**2/2", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2x + 3)/(-3x + 4)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2*x/3 - log(3*x - 4)/9", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 1x^2 - 5x + 4? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3/3 - 5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((2(-4x^2 + 3x + 4) + 3)/(-1(-4x^2 + 3x + 4) + 2)) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - 7*sqrt(41)*log(x - 3/8 + sqrt(41)/8)/41 + 7*sqrt(41)*log(x - sqrt(41)/8 - 3/8)/41", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = (2x)/(-1x + 2) with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x - 4*log(x - 2)", "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(-1(-5x^2 + 3x + 2)^2 - 3(-5x^2 + 3x + 2) + 1) + 5 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15*x**5 + 45*x**4/2 + 26*x**3 - 63*x**2/2 - 22*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -5x + 4 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2 + 4*x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(3(-1(-3x + 2) - 5)^2 - 4(-1(-3x + 2) - 5) + 2) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9*x**3 - 69*x**2 + 177*x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3(-3e^(1(5x + 5)) + 2)^2 - 4(-3e^(1(5x + 5)) + 2) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7*x - 24*exp(5*x + 5)/5 + 27*exp(10*x + 10)/10", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-2x)/(3x - 1)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x/3 - 2*log(3*x - 1)/9", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = -3e^(1(4x^2 + 5x + 4)) + 3 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x - 3*sqrt(pi)*exp(39/16)*erfi(2*x + 5/4)/4", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (3x - 3)/(2x - 1). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x/2 - 3*log(2*x - 1)/4", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 3)/(1x + 2)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x + 5*log(x + 2)", "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": "Compute the indefinite integral for f(x) = -3x + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "Find the indefinite integral of f(x) = 3x^2 + 5x + 1 with respect to x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x**3 + 5*x**2/2 + x", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b((-2x + 2)/(-1x - 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 - 8*log(x + 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (-1(-4((1x + 1)/(3x + 3)) - 1) + 1)/(2(-4((1x + 1)/(3x + 3)) - 1)). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x/7", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = 2sin(1\u03c0(-5x + 5) + 3) - 2? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2*x + 2*cos(pi*(5 - 5*x) + 3)/(5*pi)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 1((-2x + 2)/(3x + 1)) + 1. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x/3 + 8*log(3*x + 1)/9", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = 3x + 3. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3*x**2/2 + 3*x", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = -5x. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5*x**2/2", "dataset": "MATH"} {"messages": [{"content": "Determine \u222b(5(1((3x + 1)/(-1x - 2))^2 - 5((3x + 1)/(-1x - 2)) - 3)^2 - 1) dx. Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2204*x + (-61125*x**2 - 223875*x - 206375)/(3*x**3 + 18*x**2 + 36*x + 24) - 11550*log(x + 2)", "dataset": "MATH"} {"messages": [{"content": "What is the symbolic antiderivative of the function f(x) = (-1x + 1)/(1x - 3)? Express your answer in terms of x and do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-x - 2*log(x - 3)", "dataset": "MATH"} {"messages": [{"content": "Compute the indefinite integral for f(x) = (1x - 2)/(1x). Do not include the constant of integration C.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "x - 2*log(x)", "dataset": "MATH"}