diff --git "a/data/dm_maths/full_data/10525_11255.jsonl" "b/data/dm_maths/full_data/10525_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10525_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the pth term of -15395, -15433, -15497, -15587?\n\"Answer: -13*p**2 + p - 15383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4000693*u**3 - 3904457*u**3 + 267630*u**3.\nAnswer: -7637520*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31205674*i**3*u - 7938*i**3 + 17*i**2 - i*u + 149*i with respect to u.\nAnswer: -31205674*i**3 - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19d8 - -10c3?\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396417872 to the power of 1\/3, to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwbbbbwbwcbrrppw. What is prob of picking 1 b and 1 w?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.2. Let v = 8 - 8.6. Let g = 3.4 - v. Which is the nearest to l? (a) 3 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**4 - v**4 - 2*v**4)*(842 + 574 - 536)*(-2 - 1 + 1) as a + g*v**2 + x*v**4 + o*v**3 + j*v and give x.\nAnswer: 1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0372*-0.5.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8*(-17)\/(-34))\/(1 - 11). Let p = 13.09 - 0.09. Let l = p - 12.8. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let f(n) = -2*n**2 - n**2 + 0*n**2 + 2*n**2. Give w(f(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*m + 9, 5*m + 2 = v + 15. Suppose h - 15 = -w + 4*w, v*h - 2*w - 10 = 0. Factor 0*u + h - 1\/4*u**4 + 0*u**2 + 1\/8*u**5 + 1\/8*u**3.\nAnswer: u**3*(u - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2\/5 - 2166*t\/5 + 390963\/5 = 0.\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 21 = -93. Let g = i + -49. Let b = g + 37. Calculate the least common multiple of b and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -25. Let l = s + 27.999949. What is l rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2522 or -199?\nAnswer: -2522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 17 = 3*s - 17*t, 5*s + 3*t - 60 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901340 a multiple of 1706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (2 + sqrt(720)*-2 - (sqrt(720) + sqrt(720)*2*4 + sqrt(720)))*3)**2 + -2.\nAnswer: -4320*sqrt(5) + 933143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550 = 3556*x - 3401*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Suppose 20 = 5*i - 5. What is the third derivative of i*z**6 - 4*z**6 + k*z**2 - 4*z**2 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(228) - (sqrt(228) + sqrt(228)*1*6))\/(sqrt(144)\/(sqrt(12)*-2))*-1)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, -3, 785, -4, 16 in descending order.\nAnswer: 785, 16, 5, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a factor of 1385589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p = -78*p + 311271. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/5)\/((-3)\/(2325\/(-10))). Let n = -122 - m. Solve -5*z + n = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {l: 1, h: 8, n: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0989 - 2.0989. Which is the third smallest value? (a) s (b) -0.2 (c) 0.5 (d) -24\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*p + 52 - 309*p**2 - 313*p**2 + 618*p**2.\nAnswer: -4*(p - 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 653*j**3 - 4*j + 655*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.5 + 40.5. Let v = -13984.07329922 - -14037.0733. Let l = g - v. Round l to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 30*j = -35*j - 50, -k - 5*j = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 4*w + 161 - 131. Which is the third smallest value? (a) w (b) 0.6 (c) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*b + 14, 1384*x + 4*b - 4 = 1381*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i + 2*i + 3*i. Let j(n) = -n + 0*n - 2*n + n. What is j(w(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5790.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**4 + 2*l**2 - 2*l**2)*(1 - 4 - 2) to c*l**4 + m*l**3 + s*l**2 + o*l + t and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245935 by 5.\nAnswer: 49187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -36*k**2 - 179*k - 8. Calculate v(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1193b0 (base 14) to base 3.\nAnswer: 1010120100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 10. Let r(w) = -2*w - 11. Let f(u) = -2*r(u) + 3*y(u). Let m be f(9). Suppose -2*o + 11 = -m. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - 900\/675. Let y(a) = 6*a - 4. What is y(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*l - 90, -2*a - 5*l + 35 = 129. Let x be 144\/a + (-8)\/14. Let n be 1 - 1 - (2 + -6). Sort n, x, 1 in increasing order.\nAnswer: x, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 10 = -214*n + 216*n, -4*n = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 3. Let q be i(2). Suppose -351*o = -339*o - 840. Let t be (-207207)\/o + q\/(-10). What is t rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 0, -4 in decreasing order.\nAnswer: 3, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25134 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51636409 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 - 3*j**2 + 4*j**2)*(3 + 1 - 23) + (j + 0*j + 0*j)*(-5 + 5*j + 5) as z*j**2 + k + n*j and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.66 - -13.66. What is the nearest to -2\/7 in l, 3\/22, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -5 + sqrt(252)*2) - (0 + sqrt(56)\/(sqrt(24)\/sqrt(3)) - (1 + sqrt(252)*-1)**2).\nAnswer: 47*sqrt(7) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 23*m**9\/21 + 7*m**5\/10 + 13*m**4\/24 + 2*m**2 - 822*m - 4. What is the third derivative of l(y) wrt y?\nAnswer: 66240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246027*s**2 - 245872*s**2 + 491898*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33709, -33138, -32567, -31996?\n\"Answer: 571*z - 34280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1789 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-783))\/((-2)\/(-90))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 3437626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 957*d - 14. What are the prime factors of p(1)?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -6)*(-3024)\/1584.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82905 divided by 3?\nAnswer: -27635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340330 (base 5) in base 7?\nAnswer: -333355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 826?\nAnswer: 32214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 5 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 38*y + 163. Determine f(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 174, 9443 in decreasing order.\nAnswer: 9443, 174, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 101*i + 111. Let f be o(-1). Which is the second biggest value? (a) 2\/13 (b) -2\/15 (c) -0.3 (d) f (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729096 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1340*v + 1385. What is m(1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - -16. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2237 = -12*s + 7*s, 3*s - 3 = 0. Calculate the greatest common divisor of 3100 and a.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.08869 to 2 dps.\nAnswer: -6.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2199.\nAnswer: 17592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((-24)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 1222 - n - 1220 + 2*n**2 + 2*n in the form y*n**3 + x*n**2 + g + d*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -4\/45*z**3 - 1\/450*z**5 + 0 + 1\/36*z**4 + 11*z**2 + 0*z. Factor w(x).\nAnswer: -2*(x - 4)*(x - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 25, 5, 28\/33, 4\/7?\nAnswer: 28\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -641.41 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (38\/(-28) - -4). Let s = j - -6\/7. Which is the second smallest value? (a) -3 (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 47*j - 566. What is the remainder when 571 is divided by v(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 - (-24)\/15. Let m(r) = -1 + 9*r**2 + 5*r**n + 0. Is 10 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10155 is divided by 2022.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/29)\/(h\/(h\/((h\/(h**2*h)*h)\/h))*h)*(h**(1\/7)\/h)**(-16\/3) assuming h is positive.\nAnswer: h**(1117\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3 + 6\/6. Solve 5 = 3*d - o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -3a?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 11. Let o be s(-5). Suppose 2*c + 2 = 4*y, -4*y + 3*c - o = -0*y. Solve 3*i = 7*i, -m = -4*i - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.212 and 662840917095.\nAnswer: 662840917095.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from fufufgufpnfn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22478399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**5 - 5*z**4 + 112*z**3 + z**2 - 10*z - 409 wrt z.\nAnswer: -240*z**2 - 120*z + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 112.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 1. Let y be i(2). What is the common denominator of -71\/12 and (y\/(-8))\/((-81)\/36)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 - 16*q - 19. Let y be m(-6). Suppose 4 = -3*c - y. Does 14 divide (-1446)\/(-48) - c\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (111\/(-12))\/((-23)\/13708) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.496 - -4.7. Round s to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28 - (-11584)\/(-416)) + 22462\/13. Calculate the highest common divisor of 2112 and w.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -106b800 - -5?\nAnswer: -106b7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 - t**2 + 3*t**2 - 2*t**2 + 0*t**2 + 2*t**2 - t**2 + 0*t**2 + (-5*t - 2*t + 5*t)*(0 + 2*t + 0))*(5*t**2 + 0*t**2 - 10*t**2).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 3.36 (c) -3 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 75. Let m(j) = -3*j + 152. Give 5*a(c) + 3*m(c).\nAnswer: c + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n. Let u(l) = -1818*l. Calculate u(y(s)).\nAnswer: -9090*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 10, -2, -21, -5 in descending order.\nAnswer: 10, 5, -2, -5, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182989.\nAnswer: 19, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784009 is divided by 4280?\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*c + 28, 5*c + u - 24 = -2. Suppose 0 = -k - 0 + c. Find the third derivative of -784*n**3 + 9*n**k - n**4 + 20*n**2 + 785*n**3 wrt n.\nAnswer: 192*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*i + 36 = 0, 5*i - 21 = -4*r + 15. Suppose -5*t - r = -8*t. Solve t = -b + 2*b, -4*s - 2*b = -18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(-4\/3))\/(o*o\/o**(-5)*o**(-5)\/o)*((o**(2\/9))**(-11))**(11\/5) assuming o is positive.\nAnswer: o**(-572\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 = 7*k + 435 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 + 205. Solve -6*y + 9*y + k = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303 + 309. Find the first derivative of 28 - 7*o**2 + 2*o - 12*o**2 - 40*o**2 + u*o**2 wrt o.\nAnswer: -106*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - 0. Find the third derivative of 9*d**4 - 8*d**4 - 2*d**2 - 2*d**n wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 4:31 PM?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 565?\nAnswer: 14\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/31 and -115\/388368.\nAnswer: 388368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168 and 219936?\nAnswer: 16055328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 324 + 89 = 0. Let a(k) = -6*k + 5. Let p be a(-2). Let u = n - p. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 208?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 10*y - 7. Let j be k(11). Suppose 0*v + j = -4*v. Let c = 35 - v. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -2. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2073881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + (-54)\/(-24). Suppose -v*a + 5*i - 32 = 0, 4*a - 3*i = 2*i - 44. Does 24 divide (4\/a)\/((-6)\/981)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/56 - (-992)\/1736 - (30\/(-28) - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 84*h**3 - 556*h**2 + 924*h + 1568.\nAnswer: -4*(h - 8)*(h - 7)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-20)*1\/24*2. Let x(z) = 2*z. Let g be x(11). Which is the nearest to 2? (a) 0.5 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47248404 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.062107, 0.3, 15 in descending order.\nAnswer: 15, 0.3, 0.062107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-42)\/6 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*u**3 + 13062831*g**4*u - g**2*u**3 + 4*g**2*u + 980973*g*u wrt g?\nAnswer: -24*g*u**3 + 313507944*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2182 - 4857980.\nAnswer: -4855798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 1 - 4)*(50 - 61 + 0*f - f + 4*f + 2*f - 3*f + 2*f + 1 - 1 - 3 - 2*f + 3 - 2*f + 6*f - 5*f + (7*f - 3*f - 3*f)*(4 - 2 + 0)).\nAnswer: 51*f - 187","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 - 56*l + 192 = 0?\nAnswer: 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100302202433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 462515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = g + q, -2007*g - 2 = -2003*g - 2*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*t + 81 = -186*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 33707 + 33707 + 12*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3471901?\nAnswer: 3471901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 36. Suppose -3*d - 4*r + 30 = -r, f*r = 9. Solve 4*q = -5*z - d, -3*z - 1 - 2 = 3*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let h(i) = -4*i - 262 - 5*i + 236. Let o be h(-3). Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - (sqrt(320) + -1))**2.\nAnswer: -984 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(128) + 2 + sqrt(128))**2 - ((sqrt(12)\/sqrt(6))**2 + 2)) + 1 + 1 + -6*sqrt(2)*2.\nAnswer: 52*sqrt(2) + 518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 24*p - 25 = 16*z, 13*z + 17 = -5*p + 11*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5149*c**4 + 75*c**3 - 18357*c**2 - 4*c - 17?\nAnswer: 123576*c + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1640 (base 8) to base 16\nAnswer: 3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*o + 237, -5*u - 360 = 4*o + o. Let t = u + 73. Put 3, t, 24 in decreasing order.\nAnswer: 24, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*o + 5. Suppose -4 + o = i. Let p = i + -10. Sort p, -1, -2\/5 in descending order.\nAnswer: p, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245692659.\nAnswer: 3, 191, 521, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0*u = -5*u, 6 = -2*v - 4*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -0*w. Suppose -w*u = -u. Suppose -m + 5*m + 4 = 0, u = r + 5*m - 21. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4\/5*j + 14\/5*j**2 - 16\/5*j**3 + 6\/5*j**4 + 0 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(4\/32)\/(29\/(-232)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 730 - 487. Does 44 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30276397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112468 and 886139.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -71\/4. What is the closest to h in 2, 5\/3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*h - 798*h = -320*h - 17135 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = -20. Suppose -4182*d - 10*z - 190 = -4186*d, 3*d + 3*z = -57. Sort 15, d, 3, r in ascending order.\nAnswer: r, d, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 535*n - 538*n. Solve 2*x - 11 = n*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(246\/1476).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*28\/(-32) + (-10)\/(-20)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(5) + 2.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*36\/24\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 2*y - 3. Let d(l) = l**3 - 19*l**2 + 19*l + 252. Let m be d(17). Let r(u) = 5*u**2 + 2*u - 4. Determine m*o(i) + 2*r(i).\nAnswer: -2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 389 or -1.143?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143362 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*u**2 - 2*b**3*u - 703*b**3 - 2*b**2*u**2 - 51*b**2*u wrt b.\nAnswer: -6*u**2 - 12*u - 4218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t + 5. Let w(x) = -13*x - 8. Determine 7*b(m) + 5*w(m).\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwta when four letters picked without replacement from {w: 5, a: 1, t: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/10 - r**3\/6 + r**2\/2 + 2*r. List the prime factors of v(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*h**2*m + 34*d*h**2 - 694*d*h*m - 2*d*h + 10*d*m - 60*h**2*m + 694*h**2 + 593*h*m wrt h?\nAnswer: -4*d*m + 68*d - 120*m + 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d**5\/75 - 26*d**4\/15 - 194*d**3\/45 + 10*d**2 - 1033. Suppose x(l) = 0. What is l?\nAnswer: -50, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/5, -475\/7, -1\/2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p\/((p**(-4)\/p)\/p)*p*p*p*p*p*p))**(-2\/35)*(p\/(p*(p*(p*(p\/(p\/(p\/(p\/p**1))))\/p)\/p)\/p))**38 assuming p is positive.\nAnswer: p**(26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -37*l + 4. Let a be z(-2). Suppose 8*s - 11*s = -a. Let y(f) = 2*f**2 - 2*f - 5. What is the remainder when s is divided by y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - -888. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + h**2)*(-450*h + 235*h - 21 + 222*h) as x*h**3 + u*h**2 + z + y*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u**3 + 58*u**2 - 5*u - 12. Let c be w(7). Calculate the highest common divisor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-4))\/(-1))\/(54\/(-24)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2416 = -3*o, 4*o - 5*o + 5*p + 820 = 0. Let r = 7192\/9 - o. What is the common denominator of -58\/111 and r?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -2.45\nAnswer: -80.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6589*k + 757*k + 5959*k = -279405 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/486*490\/539*(-18)\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113588, 227384, 341180, 454976?\nAnswer: 568772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1572, -3321, -5070?\n\"Answer: -1749*m + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*m**2 + m**2 - 1 + 1 + (-4*m + 4*m - m)*(-1 + 1 - 2*m) + (m - 2*m + 0*m)*(-m - 2 + 2) + (-1 - 1 + 1)*(4*m**2 - m**2 - 5*m**2).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 20*r + 44.\nAnswer: -(r - 2)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 976*n. Let u(y) = -y**2 - 4*y + 54. Give d(u(r)).\nAnswer: -976*r**2 - 3904*r + 52704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -380 + 378. Let h(b) = -b**3 + b**2 + 2*b + 3. Give h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**5 + 2*w**2 + 1\/48*w**4 + 0*w**3 + 0 - 1\/960*w**6 + 23*w. What is y in a(y) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 26. What are the prime factors of t?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:16 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.84369 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 468 - -88027?\nAnswer: 88506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*y - 350 = 0, 3*h + y = -28 - 186. Let d = 120 + h. What is the remainder when 238 is divided by d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 5*w. Let l be j(-5). Let d(q) = -3 + l + 3*q + 1. Let g be d(4). What is the greatest common divisor of 90 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12503, -12843, -13183, -13523, -13863?\nAnswer: -14203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1569221 (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1476, 5611, 12496, 22125, 34492, 49591?\n\"Answer: -q**3 + 1381*q**2 - q + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 53*j**2 - 3*j**3 + 3*j**3)*(-1 + 6 - 4) + (4*j**3 - 3*j**3 + 0*j**3)*(2 - 1 + 1).\nAnswer: 5*j**3 - 53*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753.0771ug to milligrams.\nAnswer: 0.7530771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85388 divided by -19.\nAnswer: -85388\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let n(q) = 5. Suppose -4*c = 3*u + 9, -u - 2 = 2*c + 3. What is u*n(r) - 3*i(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 31*m**2 - 31. Determine v(31).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237250 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -31\/4. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -15*h**2. Let k(w) = 2*w. What is k(p(j))?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 2, y: 1, w: 1, g: 1}. Give prob of sequence yzgz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Let x be c(-3). Suppose -2*j + 4*o = x*j + 4, 2*j = -3*o + 13. Let g = -283 + 286. Solve -2*a - 15 = -5*t, -5 = j*a - g*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -27. Suppose 6 = -21*b + t*b. Suppose b*n + 581 = 2883. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1 + 6\/5). Let w = -0.054 - 0.246. Let j = -2.7 + w. What is the second biggest value in j, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 4*d + 3. Let t be (-3)\/(8\/((-8320)\/15)). Let v = -95 + t. Let z = v + -108. Let f(g) = 9*g**2 + 7*g + 5. Give z*o(l) - 3*f(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 12. Let n(t) = -5 - 37*t + 39*t + 1. Let k be n(0). Sort -3, w, k in decreasing order.\nAnswer: w, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0395 < 1348622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21618*l**4 - 61*l**2 - 2*l + 77498600?\nAnswer: -86472*l**3 - 122*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41058464?\nAnswer: 2, 43, 53, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4364*v - 56 = -4360*v. Let j(x) = -x - 19. Give j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80114, -80159, -80158, -80087, -79922, -79639?\n\"Answer: 4*g**3 - g**2 - 70*g - 80047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -28. What is the least common multiple of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3651441 months?\nAnswer: 0.00030428675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/9 + 412474*y\/3 - 2474836\/9 = 0.\nAnswer: 2, 618709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 37*m**2 + 16*m - 14. What is the units digit of f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9644217 and 2112?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 53 - (-2 - -1)*-2. Let x(q) = q**3 - 43*q**2 + 51. Let u be x(43). Let o = l - u. Solve 4*a + 0*a = o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 45, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.23 - 74.2. Let m = 0.03 - o. Let l = 0.4 + 2.6. What is the second biggest value in 1, m, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3963025.7.\nAnswer: -3963025.7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -2. Let l = -2 - i. Suppose c + 0*c + 1 = l. Is 0 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-1600)*15)\/((-12)\/20)*164?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**39)**4*((d**(2\/7))**(-6\/17))**(-11\/3) assuming d is positive.\nAnswer: d**(-4597\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19488000 is divided by 464000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Suppose 2*k - 5 = -3*k - 2*f, -4*k + 37 = -5*f. Solve 2*b + 22 = k*q - 1, -y*b = -4*q + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639249*f + 13342 = 638675*f - 4452 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1980331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 6:49 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-4)*(-32)\/24. Let n be (3 + (1 - s))\/5. Factor 9\/5*f**2 + 27\/5 + 27\/5*f + n*f**3.\nAnswer: (f + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*r = -8, 2*o + 12 - 3 = -5*r. Let q = 0 - o. What is the third derivative of f**3 - 6*f**2 + f**3 + 4*f**q - 3*f**3 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*m + 7659 - 7653 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 23*b - 5*b + 48*b = 528 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let z be (0\/n - -33) + 2. Let o = z + -22. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7858 is divided by 1303.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171442163 times -0.5?\nAnswer: -85721081.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 5. Calculate y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 29*c - 35. Let d be j(-8). Let g(a) = a + 1. Calculate g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwlflrq. What is prob of sequence wlf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241.01 + -239.7977. What is k rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1183 = -15*k + 437. Suppose -k = -61*r + 57*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*g + 12. Let k = g - -23. Suppose -4*a + k*n + 50 = 0, -5*a - 2*n + 47 = 2*n. Calculate the greatest common factor of a and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(128)*2*5)**2 + (sqrt(10) + (sqrt(10) - (sqrt(150)\/sqrt(5))\/sqrt(3)) + sqrt(10))\/sqrt(5)*5.\nAnswer: 10*sqrt(2) + 12805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 80*m - 924. Let g be v(-14). Let z(i) = i**3 - 2*i + 1. Let x be z(2). Solve p = -x - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40027955*f**6 - 52903806*f**2.\nAnswer: -4803354600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 2.4. Which is bigger: -5\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19165569 by 6.\nAnswer: 6388523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 + 2*a + 6. Give i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*g - 79 + 4, -3*g + 75 = -3*o. Suppose -345*r = -341*r - g. Solve -22 - 3 = -r*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -4, -25, -27, 7\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13616 is divided by 566?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/5 - 16*u**3\/5 + 9*u**2 + 54*u\/5 - 216\/5 = 0.\nAnswer: -2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 800*r**3 - 57*r**2 - 398*r**3 + 3 + 188*r**2 - 400*r**3 to the form j*r**2 + v*r**3 + d + w*r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - -202010100011?\nAnswer: 202010101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4856*g**3 - 10817*g**2 + 373035592 wrt g?\nAnswer: 14568*g**2 - 21634*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*y - 101*y - 4*y**2)*(y**2 + 3*y**2 + 0*y**2) - 3*y**4 - 3 + 3 + 2*y**4 + 0*y**4 - y**4 + (-1 + 0 - 1)*(-5*y**4 + y**4 + 2*y**4).\nAnswer: -14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -787 - -798. Let m(h) = 412*h - 507. Let c(y) = 206*y - 254. Let v(g) = a*c(g) - 6*m(g). Differentiate v(l) wrt l.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 2*c - 4*c + (0*c - 3*c - c)*(5 - 3 + 0) - 2*c - 2*c + 2*c)*(-5 + 1 + 3) - 125*c - 331*c - 7*c.\nAnswer: -452*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmwxmmmm. What is prob of picking 1 m and 1 w?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 9*i - 5. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -30. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/150*-5*45. What is the closest to 1 in k, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 4*u**3 - 4*u**3 + (-4*u**4 + 2*u**4 - u**4)*(4*u - 3*u + 0*u).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11261.37cm to micrometers.\nAnswer: 112613700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*a**3 - 16\/3*a + 4\/3*a**4 + 4*a**2 - 16\/3.\nAnswer: 4*(a - 1)*(a + 1)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 + 5 = 5*t, 2*p - 2*t = 0. Let x = 3 - p. Solve -3*j + 12 - 4 = z, x = z + j - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 divided by -61.\nAnswer: -119\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.05969*-0.3\nAnswer: -0.617907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370, 2729, 4088, 5447, 6806, 8165?\nAnswer: 9524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456570 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809041507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeaaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/13, 1\/5, 2\/7, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1199 > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 28*t = 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*c**4 - 2752*c**2 + 1072232.\nAnswer: -240*c**3 - 5504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226 + 177. Which is the closest to 3\/5? (a) m (b) -2\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + 0 + (181 - 191).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 147. Suppose 12*q = 5*q + 84. What is the greatest common factor of q and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*u - 45*u - 6808. Let f = u - -2445. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 - ((-2 - 0) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 6*c - 625 = 0. Suppose 0 = -18*v + c*v - 49. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3926917431 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -72. Let m(a) = -2*a**2 - 2. Let q(z) = -3*z**2 - 3. Let c(u) = 4*m(u) - 3*q(u). Let d be c(2). Solve d = -t - s*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (71 + 1)*7416\/(-54). Let i = l + 1107429\/112. What is the common denominator of 81\/10 and i?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -8. Is 10 a factor of (m\/(-4))\/(6\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*u - 119373, 4*j - u = -3*u + 159140. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-2*r**2 + r**2 + 0*r**2)*(-8*r**3 - 75*r**3 - 43*r**3).\nAnswer: -252*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 3*y + 5*y)*(-384 + 384 + 3315*y) as w*y**2 + i*y + u and give w.\nAnswer: 6630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 11*m + 47. Let c be o(6). Suppose -3*g + 2*u = -c, -4*g + 2*u = -u - 24. Solve -g*a - z + 2*z + 7 = 0, -a - z = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/(2*sqrt(7)) - 1*sqrt(1400))\/(((sqrt(96) - (sqrt(96) - sqrt(96)*-4 - sqrt(96)))*1)\/sqrt(12)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 4972?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.9 - 16. Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -8 (c) 15262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 8. Let j(w) = w**3 - 6*w**2 - 5*w - 12. What is the remainder when m(7) is divided by j(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**5\/7 - 10056*b**4\/7 + 6377816*b**3\/7 - 69407712*b**2\/7 - 3568877820*b\/7 - 3493082232\/7 = 0.\nAnswer: -18, -1, 31, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojj when three letters picked without replacement from {i: 9, l: 2, j: 3, o: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 13. Let q be 1 + l + (325 - 5). Let n = 623 - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 36 - 19 = -o, 9 = 3*o. Let q = s + -1. What is the remainder when 35 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 + 3154*g**2 - 1047*g - 4217. What is u(1051)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:34 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - -893) + 0 + 19. Calculate the greatest common factor of 524 and b.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 552\/7 - 79. What is the fourth smallest value in -4, 5, m, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 81*o**2 - 4*o + 7. Is w(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94085000 rounded to the nearest 100000?\nAnswer: 94100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 2, e: 1, z: 3, q: 1, l: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 26. Suppose b*d + 15 = -d. Let x(v) = -v**2 - 7*v. What is the least common multiple of x(d) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111333331 - 10322?\nAnswer: -112010313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 + s**2 + s - 1. Let f be k(1). Suppose 4*d + 17 = -3*m, 9*m + 39 = 12*m - 3*d. Solve m + f = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 5 - 2)*(-5 + -1). Let k be ((-280)\/(-15))\/(u\/9). Let v = -64 + 76. What is the highest common factor of k and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**16*d))\/d**(10\/9))\/(d*d**(-8\/5)*d*d**(-5)\/d) assuming d is positive.\nAnswer: d**(-518\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**3 + 25*d + 31. Let u(i) = -5*i**3 - 13*i - 16. Calculate -3*m(a) - 5*u(a).\nAnswer: a**3 - 10*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -85 + 81, -b + 8323 = -3*q. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1467.635.\nAnswer: 1466.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/15 - (-32)\/(3040\/337839). What is the greatest common factor of 585 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26085048571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 2)\/(4 - -3). What is the third smallest value in -5, -1\/4, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 25 = -2*n, -n + 73*b - 71*b = -16. Solve -3 = -k - u + 3, 0 = -k - n*u + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + k - 96 = -4*k, -4*k - 41 = -3*x. Suppose 0 = x*d - 22*d + 210. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Let n(y) = -1354459*y**2. What is n(f(w))?\nAnswer: -5417836*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -7, -2\/19, 3, -4\/9, 265502, -1?\nAnswer: 265502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 13*i**2 + 11*i + 10. Let b be d(13). Calculate the greatest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 359 * -6448.6.\nAnswer: -2315047.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*a = -83*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62239.\nAnswer: 109, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/314524 and 67\/13384.\nAnswer: 629048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82502327 to the nearest integer?\nAnswer: 9083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79142*o**5 + 69*o**2 + 2*o + 19 wrt o?\nAnswer: 4748520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418 + 413. Sort -4, -9, -2\/21, v in decreasing order.\nAnswer: -2\/21, -4, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let k = -341 - -1703\/5. Do i and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*2 - (-269 + 8 + -4)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -223168 + -107?\nAnswer: -223276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:11 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5169629*c*f - 9*c + 108895119*f with respect to c.\nAnswer: 5169629*f - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693362 is divided by 138672.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15061321.04 rounded to the nearest 1000?\nAnswer: 15061000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:09 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70*(-2)\/10)\/(264\/(-44)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2649293*k**2 + 2*k - 44753 wrt k?\nAnswer: -5298586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from ytyabbtytbf?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -194428, -194427, -194426, -194425, -194424?\n\"Answer: k - 194429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20)*2820\/4935?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 234 = -16*s. Let t be (-29)\/116 + s\/4. Factor -971 + 971 + 3*p - 3*p**t.\nAnswer: -3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*l**2 - 30*l**2 + 12*l**2 - l - 6 - l**2 - 4*l**2 + 7*l**2 - 7*l**2 + 3*l**2 + 3*l**2 + (l + l - l)*(2 - 2 - 2*l).\nAnswer: -2*l**2 - l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21050?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 8 - 6)*(-96 - 102 + 197 + 22*j**3) + j**3 - j**3 - 2*j**3 as q*j**3 + v*j**2 + k*j + f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*(sqrt(5) + sqrt(5) + -1))**2 + -4 + 2 - 6*sqrt(60)\/(sqrt(1200)\/sqrt(4))).\nAnswer: -374 + 372*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(78)\/(sqrt(6) - sqrt(150)))**2 + 1.\nAnswer: -sqrt(13)\/2 + 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15191 is divided by 579.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j**2 - 20*j - 17*j**3 - 264 + 15*j**3 - 12*j + 20*j**2 = 0.\nAnswer: -2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 9*o - 3*o. Let q = -43 + 76. Let m = o + q. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6646778 by 7.\nAnswer: -6646778\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x + 56*x + 12*x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 168353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - -160. Let s = n - 197.091. Let i = s + 0.09023. Round i to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 2. Let c = i + 26. What is the remainder when 29 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**17\/n*n)\/n**(-5\/2))\/(n**12\/(n\/(n*n*n*n*n**(-2\/35)))) assuming n is positive.\nAnswer: n**(319\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12967 + -12955. Let p be 2\/6 - (-371)\/3. Let w = p + -78. Calculate the remainder when w is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7130?\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 14*x**3\/3 - 35*x**2\/3 + 16*x.\nAnswer: x*(x - 16)*(x - 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:10 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 69 = -3*k, -2*q - k + 50 = -5*k. Suppose -18*i + q*i = 267. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tppdpddptq. What is prob of sequence tpt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2\/17, 28, -1\/8, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-6))\/((-2)\/(-3)). Let z = n - -24. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 4, h: 1, v: 4, p: 4, r: 3}. Give prob of sequence ppw.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 2, v: 4, i: 4, o: 2}. Give prob of sequence xmvi.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 0*f - 12 + 0*f - 4. Let l be p(-16). Which is the second smallest value? (a) 10 (b) 4 (c) -0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7118715.\nAnswer: 3, 5, 474581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 19 + 7 + 7*a + 7. Let w be b(5). Let d = w + 0. Solve -2*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -56099.1, 0.18, -0.2, 3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237.01771405835 - 0.01769975835. Let b = -488 + 251. Let c = b + a. What is c rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512470 (base 8) to base 7.\nAnswer: -1303335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*b - 18, -t + b = 3*t. Let y be 60\/(t\/(-4)*6). Suppose 0 = s - 3*s. Solve -y = -0*n - 5*n + 5*h, -4*n + h + 17 = s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. What is the smallest common multiple of (-1)\/d - (-41)\/4 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50526784 and 1386.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2. Let j be u(-2). Let x(b) = b**3 + 7*b**2 + 2*b - 4. Let d be x(j). Let q = 10 + -6. Solve 0*w + q*w - d = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.378 and -5069 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142254007 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6611.2 (b) -0.4 (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*c**6*w**3 - 68*c**3*w**3 + 2*c**2*w**3 + 40*c**2*w - c*w**3 - 3*c*w wrt c.\nAnswer: -6480*c**3*w**3 - 408*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 418350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Suppose -q + a*v = -22, q + 2*v - 34 = -0*v. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q + 1. Let b(y) = -y**2 + 7*y + 45. Let h be b(-4). What is t(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 178440638 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -6. Let s = 2234 - 2234. Which is the closest to 2? (a) 5 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 10903.3\nAnswer: 2180.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w)**39)**14 assuming w is positive.\nAnswer: w**1638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 829795 and 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10560?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 42 = -z. Let d(k) = 2*k**2 - k - 3. Let x be d(2). Calculate the remainder when 49 + x + 0 + 2 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 21 = 2*c + 49, 5*r = -r - 1206*c + 1221*c + 120 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 4, 8, 1, -0.5, -473?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 844990.6 kilograms?\nAnswer: 844990600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -164, 2\/15, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*c + 5*u - 68, 0 = -3*c - 4*u - 55. What is the hundreds digit of (-7945)\/c - (4\/(-10))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10190984 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 - 750*u - 28125 = 0. Calculate u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18550*c - 5*c**2 - 18550*c. Let a(q) = -58 + 58 + 11*q. Let n(u) = -32*u. Let x(p) = 8*a(p) + 3*n(p). What is r(x(f))?\nAnswer: -320*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 453 = 231. Let n = 78 - l. Find b, given that -b**5 - 2*b + 3*b**5 - 64 - 4*b**n + 4*b**4 + 64 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24223 is divided by 341.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 - 12 - 4565\/1010 - (-2)\/4. Sort b, -5, 0.2, -1\/7 in decreasing order.\nAnswer: 0.2, b, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170628 and 80889.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/12285 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 3. Let y be f(-3). Let u be (9\/y)\/(3\/(-24)). Let d(z) = -2*z - 5. What is the remainder when 11 is divided by d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a074 (base 13) to base 3.\nAnswer: 11000121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = v, 0*s = 4*v - s. Let q = 772\/171 + -90\/19. Let x = 6 - 5.9. Which is the closest to v? (a) q (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014798 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 764895*h**3 - 21420000*h**2 - 149946860*h = 0. What is h?\nAnswer: -14, 0, 153007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318\/(-46) - (-68 + 61)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -375.60007731793 and -23?\nAnswer: 352.60007731793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6725148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i + 17. Let z(h) = -2*h + 6. Let m(l) = -6*u(l) + 17*z(l). Let x = -16 - -11. What is m(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15521\/5 or -3103?\nAnswer: -15521\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69, -52, -23, 18, 71?\n\"Answer: 6*u**2 - u - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.53 * -19.1.\nAnswer: -10.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*c + 21 = 0, 7*u - 3*u + c = 21. Suppose -u = -5*v + 10. Is v\/6 - 133\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.04704, 1\/4, -2, 1\/2, 5?\nAnswer: -0.04704","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 4*i**2)*(0 + 7 - 4) in the form y*i + x*i**2 + t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from tkuuuteeeuwkwuu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 25*j - 16. Let o be 7 - (-18)\/(-2 - 4). Let s(q) = q**2 - 8*q - 5. Let z(y) = o*v(y) - 11*s(y). Factor z(x).\nAnswer: -3*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20200 - -15534?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (29 - (-5 - -22))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -259200 to the nearest one thousand.\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 7:58 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r + 25. Suppose 2*d = r*d - 141. Calculate the remainder when d is divided by 2\/(-8) - (0 - (-195)\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3581540 divided by -1.\nAnswer: -3581540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1015323 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -674 - 328a?\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*l = 5*u - 25, -3*u + 20 = -5*l. Suppose 1039 = 2*d + 2*d - 5*m, -5*d + 1265 = u*m. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + i + 4*i - 10*i + 2*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5536, -5711, -5886, -6061, -6236?\nAnswer: -6411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10371 - -16771. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 744, 1056, 1366?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2873778 and -16\/4310667?\nAnswer: 8621334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -22 + 30 + -1 + (-35 - 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 2881333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6538 (base 9) in base 2?\nAnswer: 1001011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*o + 117, 3*s + 2*o = 7*s - 414. Suppose 2*n - 17 = -5*v + 93, -5*n = 4*v - s. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 2613.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**4 - 35*n**3 + 70*n**2 - 40*n = 0. Calculate n.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b5c1 (base 13) in base 6?\nAnswer: 20441021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -1651661.\nAnswer: 1486494.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:33 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-15)\/6)\/(-5)). Let y be 27\/((1 + -2)*-1). What are the prime factors of (s\/3)\/((-6)\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, j: 2, q: 1, n: 1, a: 2}. Give prob of picking 1 q, 1 a, and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1133 - -1146. Solve -2*n - b = -11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16091*x - 160742. Calculate v(10).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((168\/(-11))\/7)\/(7\/((-385)\/10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 51. Let v be u(0). Let o = -22 + v. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/12 + 35*c**4\/6 - c**2 - 2699. Factor d(p).\nAnswer: 5*p*(p + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8404, 4, -4, 3 in descending order.\nAnswer: 4, 3, -4, -8404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.387*-0.0994.\nAnswer: -0.0384678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.015, -1, -2, 118, 1\/6, -47?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/90 and 34\/243?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 661, -16, 13 in descending order.\nAnswer: 661, 13, 11, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -14)*4\/10. Suppose -4*o + 44 = 4*m, -h*m - 64 = -2*o - 3*o. Suppose -2*z = -4*q + o, 0 = -q + 2*z - 0*z. Solve -15 - 5 = -q*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 485, 1\/450, -39, 0.4?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 8*l - 4. Let z be g(-8). List the prime factors of 1\/(z\/92*-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/95 + 6736\/855. Let m = -31474 + 95252\/3. Let t = -8986\/33 + m. Calculate the common denominator of t and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a factor of 99753246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 4 - b**3 + 3*b**3 - 3*b + 0 + 7. Let x be (-3)\/2*(-44)\/33. Calculate v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*10 + 9 + -7. Let w be (-14)\/(-8) + (-2)\/l. Suppose -w*u - 2 = -36. What is the remainder when 67 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*f - 80*f - 71*f + 120 = 0. Solve 26 = -f*l - 14*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 2*f - 3*f + (f + 3 - 3)*(-2 + 4 - 4) to the form o + r*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13323, -13328, -13333, -13338, -13343, -13348?\n\"Answer: -5*a - 13318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4859 + 4739 = -24*q. What is the closest to 4\/7 in -2, -2\/5, q, 13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.25749 and 4.\nAnswer: 4.25749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 13*c**2 - 6*c - 65. Let g be f(12). Is (3405\/(-9))\/((14\/(-6))\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3454*y**3 + 17*y**2 + 2*y + 28. Let j be z(-24). Let q = -86738324 - j. Round q to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 3\/10*x**5 - 1\/2*x**4 + 0*x**2 + 1\/3*x**3 - 1\/15*x**6 + 1 + 3*x. Let t(f) be the first derivative of q(f). Factor t(i).\nAnswer: -2*i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apxpppaadx. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 3549*g.\nAnswer: g*(g - 7098)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -5 (c) -24.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i + 16*i + 32*i - 111*i + 32*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 1. Let f be z(-3). Suppose -q = -2*k + f*q + 264, -q - 129 = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + -2))**2 + (2 + sqrt(432) + sqrt(432) - sqrt(432)) - (sqrt(3) + 2 + -5)**2*5.\nAnswer: -51 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 7*k**2\/2 - 1. Let b(v) = -261*v - 150. Let p(x) = 69*x + 40. Let j(w) = -4*b(w) - 15*p(w). What is l(j(a))?\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 136.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 615*h - 6 - 615*h - 4*h**4 - 6 + 13 - 143*h**3 to the form z + t*h**4 + r*h**2 + g*h + d*h**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2565539, -10262396, -23090557, -41050016, -64140767, -92362804?\nAnswer: -125716121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101210022200 (base 3) in base 16?\nAnswer: b5986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40340444 - -4?\nAnswer: -40340440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294845 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/338 and 85\/14.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 1. Suppose 2*g + 15 - 5 = 0. Let i = -3 - g. Determine l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + 350\/(-45) - 2) + 2 and 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*q - 9 = 0, 5*m + q = 2*q + 28. Suppose u = -r - u + 7, 22 = 4*r + m*u. Determine j, given that 0 - 6\/5*j**4 - 32\/5*j**2 + 26\/5*j**r + 8\/5*j = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6*t + 39*p**5*t - 208*p**2*t wrt p?\nAnswer: -240*p**3*t + 2340*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 8 = 3*h + 3*y, 0 = -2*h - y + 1. Let v = 16 - 12. Let a be (v - 5)\/1 - (-1 + 0). Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*k + 18812 = 0, 5*u - 2*k = -4*k + 23515. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032637 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 5, -164, -5 in descending order.\nAnswer: 5, 4, -5, -8, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 412147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*z - 22 = 0, 3*g + 13*z + 6 = 10*z. Is (-2)\/g*-7017*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w + 74. Let n be 140\/40 - (-225)\/(-70) - (-668)\/14. What is the greatest common factor of w and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(204\/18))\/(9\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1277, 5086, 11429, 20306?\n\"Answer: 1267*z**2 + 8*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*p - 764*p + 1831 = 7196 + 21823 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 697 + -104. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5485303 (base 11) to base 14.\nAnswer: 13c810a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 369*f**5 - 114*f**3 + 256599*f**2 wrt f.\nAnswer: 22140*f**2 - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7391442 divided by -6?\nAnswer: -1231907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17508*f**3 - 770351*f**2\/2 - 2118457*f + 121\/2.\nAnswer: -(f + 11)**2*(35016*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.94 + -15.44. What is the second biggest value in -25, -1\/3, u, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176352.\nAnswer: 2, 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 - 2*j + 2. Let m be x(-4). Suppose -3*n - 558 = -5*p, -3*p - 5*n - m = -386. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (10 + -1 + 3 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104642113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -35, -0.03, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 335295049.7 rounded to the nearest 100000?\nAnswer: 335300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007600.\nAnswer: 2, 3, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-5490)\/(-144) - ((-3)\/9 - (-11)\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**20\/(l**(-3\/7)*l)*l**22\/(l*l*l*l*l*(((l\/(l*l*l**(-1\/3)))\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(821\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44542 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 3. Let y be 216\/(-360) + (0 - -1). Suppose y*b**2 + 1\/5*b**h + 0 + 1\/5*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -533534\/884961 + -4\/14047. Let a = -456616\/27 + 16909. Calculate the common denominator of a and m.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*r - 53, -44 = -3*r - 6*w + 4*w. Let l = 17 - r. Suppose -l*i - 5*d = -45, -i = 3*d - 2*d - 13. Calculate the lowest common multiple of 6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/5 + 8*z**2\/5 + 8*z\/5 = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01148 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmrr when four letters picked without replacement from {q: 8, e: 3, m: 3, r: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 (base 11) in base 8?\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15470)\/(-4760)*(-3)\/(-2)*(-4)\/(-9)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:13 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**3 + 3*l + 3. Let h(a) = 4*a + 32. Let y(v) = v + 12. Let f be y(-19). Let j be h(f). Let b(i) = 5*i**3 - 4*i - 4. What is j*x(s) + 3*b(s)?\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/7, -2\/3, -3, 0.2, 52, -2\/9?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 46. Does 3 divide (-18)\/(-30)*(h + (2 - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 0*v**3 + v**3)*(55*v - 31*v + 7 - 22*v).\nAnswer: 2*v**4 + 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - d - 21 = -0*z, 3*z + 3*d + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 2:05 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19426569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 17*d**2 + 2*d + 13*d**3 + 52*d**2 - 3*d in the form t*d**3 + u*d**2 + z + b*d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*x + 41*x - 43*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 18. Is 10\/q*255\/17 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -20*g. Suppose 4*w + 4*p - 244 = 0, p = -g*w + 3*w - 163. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 24*o. Let z(q) = 2*q**3 - 14*q**2 - 30*q - 2. Let b be z(10). Let u = b + -295. Calculate the smallest common multiple of u and x(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -26332?\nAnswer: 26332.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 74\/9445?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1832*u + 1453*u - 13730 - 4810 = 195*u. Suppose -5*h + 2*h = -6. Determine r so that -u*r - 9\/2 - 3\/2*r**h = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.035325393\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**3 + 5*g**2 + 11*g + 5. Let p be o(-1). Solve 3*i = -m + 4*m, 2 = m - p*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3222 - -4396. What is the remainder when j is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466 + 649. Is m not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeneneeeeeneeennen. Give prob of sequence neen.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-2)\/(-4)). Let t = 1097 + -1095. Suppose 0 = o + 3*m - t*m - 2, 3*m + 30 = a*o. Let b(h) = h**3 - 6*h**2 + h - 7. What is b(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 23, 68, 151, 284, 479, 748, 1103?\n\"Answer: 2*j**3 + j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5*3\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8726 - -9983. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4\/7, -0.3, 4, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/6 + 45*l**3\/2 + 2237*l**2\/6 - 56349*l\/2 + 54675 = 0.\nAnswer: -81, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 11) to base 3\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i*v*w**2*x - 8666943*i*v*w - 2*i*v*x - 32*v*w**2 - 2*v*x + 13*w**2*x - 2256*w**2 wrt w.\nAnswer: 6*i*v*x - 64*v + 26*x - 4512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*g - 170. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640556 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z + 3*k, -4*k = -4*z + 20 + 16. Suppose 4*j + 160 = -4*a + 9*a, 4*j - z = -a. Suppose 0*m + a = m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*l + 28. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*g = -4 + 37, 5*g - 43 = -t. Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 2\/407 in increasing order.\nAnswer: -0.3, 0, 2\/407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l + 21 = f, 5*l = -5. Calculate the smallest common multiple of f and (-12 + 704\/40)\/((-2)\/(-5)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t - 7. Let k(f) = -5*f - 1. Let d(s) = 5*k(s) - 2*q(s). Let b = 4 + 0. Give d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -31.36. Let m = -4.36 + o. What is the third smallest value in -2, -1\/42, 5, m?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80749, -80741, -80731, -80719, -80705?\nAnswer: -80689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:32 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {p: 11, z: 7, x: 2}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 10. Let y be t(8). Let p be (-66008)\/(-12) - y\/3. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 4. Let v(g) = -4*g + 3. Let y be 3\/18 - (-75)\/(-18). Let m(a) = y*v(a) - 3*f(a). Let o(z) = -z. What is m(o(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -25453012?\nAnswer: -25453016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - j - 271, l = 5*j + 122. Suppose 0*y = 4*s - y - 548, -2*y + l = s. List the prime factors of s.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 341*k + 3303*k**2 - 335*k + 676*k - 17 to the form l*k**2 + b + a*k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (44\/7 - 3). Let w = -119\/4 - -30. What is the closest to 0.2 in 0, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -35*c + 38. Determine i(10).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4*6\/16)\/(3\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 29. Sort -23, 0, b in ascending order.\nAnswer: -23, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 368*x**2 + 1108*x + 12.\nAnswer: 4*(x + 3)*(92*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200\/9*u - 2\/9*u**2 + 424\/3.\nAnswer: -2*(u - 106)*(u + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 6*d - 15. Let f(u) = u + 1. Let q(v) = -v**2 - 3*v - 13. Let o(n) = -6*f(n) - q(n). Let r(k) = 3*i(k) + 7*o(k). What is r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 1\/3*h**3 - 11*h + 0*h**2 + 59. Let t(o) = 1. Give -6*s(n) - 66*t(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c + -3422?\nAnswer: -349e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14298267 by -141567.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*sqrt(44)*-1.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*5*3)\/(sqrt(144)*-1))**2.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**4 + 606*b**2*w**2 + 17*b*w**2 - 2*b + 60*w**2 wrt b.\nAnswer: 84*b**2 + 1212*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -1\/6, -7, -5, 0.95 in ascending order.\nAnswer: -7, -5, -1\/6, 0.95, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560329 and 4921?\nAnswer: 20732173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11231 + 1?\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75981 (base 16) in base 12?\nAnswer: 1b28a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 836 divided by -6\nAnswer: -418\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 40. Let j = 17 + r. Is 2 - (-180 + j + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 11. Let b be v(8). Suppose 24 = b*o - 81. Calculate the remainder when o is divided by 4*(30\/8 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -27*q - 3406. Let n(d) = -11*d - 1705. Give 5*n(u) - 2*w(u).\nAnswer: -u - 1713","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34\/276*2120\/9010\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 2*f. Let u(v) = -812*v - 12158. Let l be u(-15). Suppose 2*b = 2*c - l, f*c - 6*c + 23 = -4*b. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 730*i**3 + 3*i + 110*i**3 - i - 2*i in the form l*i + s*i**2 + b + u*i**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18404a1 + -15?\nAnswer: -1840506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. Let q = d - -0.1. Suppose 516*u = 306*u + 1050. Sort q, u, -2\/7, -2\/9 in descending order.\nAnswer: u, -2\/9, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -259*t**6\/30 + 123*t**3 - 617*t**2 - 1. What is the first derivative of i(g) wrt g?\nAnswer: -3108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 - u**2 - 12*u - 2. Let g(y) = -8*y**3 + 12*y + 1. Let f(j) = -2*g(j) - 3*m(j). Find v such that f(v) = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -109) + (9 + (-2 - -7) - (141 + -116))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26387 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33558 and 38352?\nAnswer: 268464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25425251 (base 7) to base 2.\nAnswer: -1000110011110001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 12*l**2 - 36*l + 6. What is the remainder when t(-8) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7 and 56\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-63)*315\/(-150) + (2577\/(-18) - -9)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1340 - 1336. Let i(q) be the first derivative of 0*q**5 + 0*q + 11 - 1\/10*q**2 + 1\/10*q**p - 1\/30*q**6 + 0*q**3. Find w such that i(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*y - 42. Calculate the remainder when y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.965 + -28. Let v = c + 0.015. What is the closest to -0.2 in 4, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-259616)\/(-616) - 6\/(-11) is divided by 80.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.2 or 2\/11?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-7*l**2 + 3*l**2 + 3*l**2)*(-9*l + 0*l - 3*l) to the form q + s*l + v*l**2 + h*l**3 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b**3 - 2*b**2 + 1. Let z(o) = -4 - 1 - 1 + o + 1. Let i be z(-7). Let n = i - -11. Determine g(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2607 + -2608. Sort -5, -3, -4, 86, f in decreasing order.\nAnswer: 86, f, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 860 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5862, 5863, 5864, 5865, 5866?\nAnswer: 5867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/(-451) + 161\/165)\/((-4)\/(-10))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -846 - -951. Calculate the greatest common factor of 135 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192852503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166.1 + -239.4. Let l = -73.7 - h. What is the third biggest value in 0.5, l, -0.3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1506, 2, -30, -3 in descending order.\nAnswer: 2, -2, -3, -30, -1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 312, 0, -2\/17, -8.1, -5 in decreasing order.\nAnswer: 312, 0, -2\/17, -5, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 - 26*m**4 + 2 + 5*m**3 + 14*m**4 + 14*m**4 + 4*m**2 in the form n*m**2 + w*m**4 + c + g*m + o*m**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 78*o + 82*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l, 6*l - 2*l = 3*w + 11. Suppose -a + 111 = 3*m - m, -w*m = -a - 164. Suppose 0 = f + 4*f - m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjznjki. What is prob of picking 1 k and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5 - 1673*n**4 - 93879*n**3 - 337147*n**2 + 627160*n + 872100 = 0. What is n?\nAnswer: -1615, -54, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 1 = -4*i - 13, -i + 0*r + 2*r = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -4943267?\nAnswer: -4943274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 228*v - 92951. Determine o(166).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -26. Let r = -272 - -384. Calculate the greatest common divisor of m and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513783 divided by -3?\nAnswer: 171261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a - 7*a**3 + a**4 - a**3 - a**3 - 4*a + 5*a**3 wrt a?\nAnswer: 12*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55328514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/(1\/(-5)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -3\/2, -2, 8, -2156?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001000010011011100001 - -111?\nAnswer: -10000001000010011011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6147 and 9621.\nAnswer: 6571143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/16 - (-23)\/368. Suppose -4*h = 2*t - 1240, -618 = -0*t - t - h. Suppose f = -5*d + 4069 + t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, c: 1, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Put 19\/4, z, -1, -3 in descending order.\nAnswer: 19\/4, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, -2, -24, -56, -98, -150?\n\"Answer: -5*a**2 + 3*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14584 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005506131 rounded to 6 dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1457639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1730*c - 5126. Give d(-3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -68.\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8 + 2*a - 5*a**2 + 6*a**2 - a. What are the prime factors of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -381*i - 122766. Calculate m(-322).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 269 = 5*b. Let x = b - -286. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62839 and 33043?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13035134\/229 - 56922. Let t(a) = a**3 + 2*a**2 - 4*a - 2. Let l be t(-3). Is l != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2492 + 74872?\nAnswer: 77144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 127. Put a, -2, 2 in descending order.\nAnswer: a, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (21 - 38)) + -19 + 6 + 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 53. Suppose k*h = -2*l, 0 = -3*l - h + 9 - 3. Solve l*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/((-3)\/15). Let f be m - 0\/((-9)\/3). Let z(i) = 3*i**2 + i - 1. List the prime factors of z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -28*((-2)\/(-6))\/((-2)\/(-6)). Let j be 4\/14 + (-2372)\/k. Let b = j + -69. What is the smallest common multiple of b and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 0.7, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -17*j + 15*j. Let m be (-73)\/j + (-9)\/21. What is the greatest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(30)\/sqrt(96))**2 + -2.\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:40 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 24*y**2. Let b(d) be the second derivative of -2*d**3\/3 + 950*d. Give k(b(j)).\nAnswer: 384*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2299647 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 26.32705kg?\nAnswer: 0.02632705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 4*j**2 - 78*j + 19. Calculate z(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168116005?\nAnswer: 5, 33623201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 192122486.48 and 131?\nAnswer: 192122355.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from cttttctttetttettte?\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -24*b - 425. Let u be t(-18). Let v(p) = -p + 6. Let w be v(-6). Suppose -w = -u*o + 4*o. What is the remainder when o is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -86\nAnswer: -77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6901945 to the power of 1\/2, to the nearest integer?\nAnswer: 2627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-3) - 1)*(-600)\/400. Let c(r) = 5*r**3 + 3*r**2 - 7*r + 3. Let b(g) = 3*g**3 + g**2 - 3*g + 1. Let x(w) = -5*b(w) + 2*c(w). What is x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-432)*(-12)\/(-3))\/(3\/(-204))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 43*k**2 - 3*k + 12. What is the thousands digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -48*k**2 - 3*k - 3. Let d be w(-1). Let z = d - -72. Let y be ((-4)\/(-2))\/((-16)\/z). Which is the third biggest value? (a) y (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**6\/3 + 2*c**2 - 5. What is the second derivative of b(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 514 + -543 - (199\/(-4) - -4)?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*i - 5*i = -18, 0 = -5*b + 4*i - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 5*i = -4*l - 21, 4*l + 1 = -i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 738235, 738241, 738247, 738253, 738259, 738265?\n\"Answer: 6*o + 738229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 44*s - 1. Let b = -2602 + 2603. Determine r(b).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.3 - 42. Let w = -2.3124 + h. What is w rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 179 = -181. Suppose -l = -3*f + 1962. List the prime factors of f.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130351341 is divided by 107?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2656 + 2664.846. Round f to 1 decimal place.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -74, -103, -124, -125?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 84. Let f be (2 + (v - 6))\/(-2). Which is smaller: -3\/17 or f?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(1\/(-6) + 133\/114 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/((-27)\/2790) - 9*(-3)\/(-36)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -61.02. Is o not equal to 4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:46 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4657, 9317, 13977, 18637, 23297?\nAnswer: 27957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**2 - a + 1. Let i be v(1). Suppose -i*p + 2*p = -4. Solve -p*k = -k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 + 99660*t**2 - 1222260504*t - 481557784304 = 0 for t.\nAnswer: -382, 25106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-29)\/(-3))\/(2\/(-12)*1). Let o = 61 + q. Let r(f) = f**2 + 4*f + 7. Let k be r(-5). Solve k = -3*z, -5*y + o*z = -y - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 1}. What is prob of sequence tgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 3. Let x = g - 29. Let l(y) = -y**2 - 13*y - 12. List the prime factors of l(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.5896 days in hours?\nAnswer: 16694.1504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 1\/10, -12, -0.04, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 664, 119, -3 in decreasing order.\nAnswer: 664, 119, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8499.861 days to milliseconds.\nAnswer: 734387990400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (9 + -14 + -6 + 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = -43 - 53. Let s be o\/(-12)*-1 - (-17)\/3. Solve w - s = y + y, 0 = 5*y + w + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (57 - (20 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-336)\/36)\/(6\/(-9)*1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -10 (c) 14 (d) -72\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7541511610 is divided by 331.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 5. Let u = -24882 - -24887. What is the second smallest value in i, -11, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/1260 + 29*g**6\/360 + 7*g**5\/15 - 15*g**4\/8 - 38*g**2. Let v(o) be the second derivative of x(o). Solve v(y) = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.5. Let l = 0.080213 + 9.919787. What is the second biggest value in h, l, -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) 1 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4072*h**3 + 6*h**2 + 6*h + 48. Let o(g) = 4849750*g**3 - 7147*g**2 - 7147*g - 57176. Calculate 7147*i(s) + 6*o(s).\nAnswer: -4084*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*y - 25 = 0, 0*s + 20 = 3*s - 4*y. Let p(z) = -z**2 - 28*z - 103. Let a be p(-5). Solve c + 3*b + a = s, -17 = c - b + 5*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -496960, -1987797, -4472518, -7951117, -12423588, -17889925, -24350122?\n\"Answer: c**3 - 496948*c**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -123916901 at least as big as -123916901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 71*y**2 + 145*y + 485. Determine k(-69).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 5 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3734 = -3*o - m, 4*o - 1155 = 5*m + 3811. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/21 + 0 - 14*6\/(-189). Let h = -1213\/7 - -173. What is the nearest to -2\/3 in v, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-12) - 1974\/24. Let g = m + 133. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-5) - (-4)\/10. Let j = u + 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 96 = 4*m, 3*m = 5*d - 4*d - 4. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*b = -171*b - 483. What is the nearest to 0 in 9, 1\/5, -4, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10554 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 15*c - 10. Let s be i(6). Let x = s + -14. Suppose x - 10 = 5*j. Sort j, -1\/3, -4 in ascending order.\nAnswer: -4, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 4*b + 882, 2*b = -6. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(25\/((-350)\/(-42))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1052.09996 + 1052. Let g = b + 0.1. What is g rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15868*t + 79350. Determine o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217702588568.98 + 1.7.\nAnswer: -217702588567.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 - 10*c + 17. Let n(q) = -8*q + 15. Let k be n(5). Let j = -17 - k. Let x be i(j). Which is smaller: 40 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 w when three letters picked without replacement from lllccclwl.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**4 + d**3 - 2*d**2 + 2477*d + 1407335?\nAnswer: 36*d**3 + 3*d**2 - 4*d + 2477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 3*a**3 - 2*a**2 + 6 + 6*a - 2*a - 2*a**3. What is the lowest common multiple of -24 - -33 - (-3)\/1 and z(-4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.1149 rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.7 - 39. Let o = v - 0.7. Let u = 1 + o. What is the third smallest value in u, -3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/53190 and 139\/20430.\nAnswer: 12074130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -11*n**8\/784 + 53*n**7\/490 - 67*n**6\/280 + 19*n**5\/140 + 3*n**4\/28 + 3*n**2 + 17. Suppose p(l) = 0. Calculate l.\nAnswer: -2\/11, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iugi when four letters picked without replacement from iiuiiiiiiiiiiiigii.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-715)\/1001*(-18)\/45*7\/3*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2716, 814, 1\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a4104 - 3?\nAnswer: 2a4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2822, 0.5, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 315135153?\nAnswer: -315135213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-224)\/104)\/(15\/((-1560)\/(-16))))\/1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 4*v + 2*v**3 - v**2 - v**3. Let b be d(6). Solve -5*r - b = 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111002021221 (base 3) in base 13?\nAnswer: 902c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 32*k + 7. Let y(o) = -5*o - 1. Let j(f) = -h(f) - 7*y(f). Let i(b) = 488*b - 1. Calculate i(j(l)).\nAnswer: 1464*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50201.74 kilometers to millimeters.\nAnswer: 50201740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:21 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4643 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1427 divided by 2.\nAnswer: 1427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537 = -220*t - 757 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (-1*(sqrt(252) - (5 + sqrt(252) + (sqrt(252) + sqrt(252) + 0 - sqrt(252)) + sqrt(252))**2) + 1)*3).\nAnswer: 1566*sqrt(7) + 20634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*6\/10. Let c = 486.02 + -483.02. Sort v, c, -0.09.\nAnswer: -0.09, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -510 - -546 - (17 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 5:51 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l + 88. Let h be d(-15). Let q = h - 111. Is -1\/4 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6.2. Let i(v) be the third derivative of v**4\/24 - v**3\/3 - 6*v**2. Let l be i(6). What is the closest to -0.1 in -0.3, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2 minus -59378.488386?\nAnswer: 59365.288386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -841169, -841161, -841141, -841109, -841065, -841009, -840941?\n\"Answer: 6*r**2 - 10*r - 841165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 970489?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t + 1. Let y(v) = 3*v**2 + 2*v - 2. Let a(c) = 2*p(c) + y(c). Let s = 59 - 59. Determine a(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*v - 33, 3*v - n + 192 = 173 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -440085 + 129385127\/294. Calculate the common denominator of -1\/252 and v.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66150\/525 + 3*9. Suppose -l + 86 = -4*z, 4*z - 98 = -l + 20. Calculate the highest common divisor of g and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.27 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-19)*c*c)*c\/((c\/(c\/c**(-2\/47)))\/c*c)*(c**(13\/6)*c)\/c**7 assuming c is positive.\nAnswer: c**(4289\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 433 - 416. Let o = a - 16.999366. What is o rounded to 5 dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)*-4)\/(-2*sqrt(48)*6).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 45*y - 16 = 0. Let z be -1 + (-170)\/(-8) - (-12)\/y. Solve -5*i + 2*k = -z, 4*i + k - 30 = -8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/15 (b) 3\/19 (c) -3\/17 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.05 - -8.35. Which is the fourth biggest value? (a) i (b) -2\/9 (c) 0.09 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10929, -21556, -32183, -42810, -53437?\nAnswer: -64064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 56 = -296. Factor -20*v**4 + g*v**2 - 7*v**3 + 38*v - 8*v**3 - 50*v - v**4.\nAnswer: -3*v*(v - 1)*(v + 2)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 950 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 22*g + 75, 5*l + 6 = g - 4*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36157*a = 36173*a + 160 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 906 = 5*s. Let a = -147 - s. Solve -6 = -5*y + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) -133\/10 (b) -78 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -243669, -2\/17, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.71 + 2.29. Sort -0.3, j, -39 in ascending order.\nAnswer: -39, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 39*a**3 + 17 - 2*a**3 - a**2 - 19 in the form q + w*a**3 + v*a + r*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -32 - 174\/(-6) - 1*-29879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gynyyyyyyggyygyyyygy. What is prob of sequence gng?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -61844.\nAnswer: 1\/61844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1250.\nAnswer: 1\/1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v - 547 = -69*v + 2*d, 4*d = v - 169. Is 186 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 9*i**2 - 17*i + 6. Let r be l(9). Let t be (-2)\/2 - ((-532)\/r)\/(-4). What is the closest to -4 in -0.2, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 15) in base 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21066 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/66 and -23\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 6*x + 24. Calculate the greatest common divisor of x and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99873 is divided by 3025.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1*(396\/48 - 8). Let w(s) be the third derivative of 1\/12*s**4 - 5*s**2 - 2\/3*s**3 - 1\/240*s**5 + d*s + 0. Find x, given that w(x) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 66. What is the greatest common divisor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/78 - 116*n**3\/39 + 236*n**2\/13 + 4*n + 12. Factor a(j).\nAnswer: -2*(j - 2)*(j + 118)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129481886 is divided by 99068.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1801.4215 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109405.\nAnswer: 5, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 4\/2)*6. Let f(d) = 6*d**2 + 5*d + 4. Let i(j) = 17*j**2 + 16*j + 12. Let u(z) = -11*f(z) + 4*i(z). Is u(g) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o**2 + 191*o + 51. Calculate w(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1709, -3431, -5153, -6875, -8597?\nAnswer: -10319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2233.1 + -2149.1. Let g be -1*3\/72*-3. What is the fourth biggest value in v, 5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 22*h - 29. Let n be b(21). Let k(l) = -l**2 - 6*l + 11. Let v be k(n). What is the smallest value in 2, 15, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13310 + -13308. Put -1, 6, k in decreasing order.\nAnswer: 6, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.52854 != -283\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1692696\/17 or 99570?\nAnswer: 99570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**3\/6 + 7*h**2\/2 - 4*h. Let a be o(-6). Calculate the common denominator of 71\/20 and 1\/a + (-43)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 10:34 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17816, -36028, -54240, -72452, -90664, -108876?\n\"Answer: -18212*q + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/5 - 11884*b**3\/5 - 34375446*b**2\/5 + 49151664756*b\/5 + 244502203298319\/5.\nAnswer: -(b - 2309)*(b + 4731)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -2*d - 5*z + 5, -5*z = -3*d + 6. Suppose 0 = d*x - 12*x + 1045. What is the remainder when x is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**4*x + 492674*t**3*x + 6*t**2*x + t*x + 17*t + 75 wrt t.\nAnswer: 48*t*x + 2956044*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/((-2)\/(-15)). Suppose 27 - 8 = 3*u - y*c, -u - c = -1. Suppose -4*o = 15 - u. Sort 3\/2, o, -1 in decreasing order.\nAnswer: 3\/2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*t + 122, 11*j + 4*t - 147 = -288 + 196 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -30, -38, -42, -42, -38, -30?\n\"Answer: 2*l**2 - 18*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1121\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 13*n + 35. Give t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*d - 2, -30*d + 26*d - 10 = -5*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3975022428 to the nearest integer?\nAnswer: 63048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000039261 rounded to 6 dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1218360 and 1420.\nAnswer: 1218360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -14, 2\/2857, 2\/3, -0.1, -42?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 375 - 5*a**3 + 11*a + 93*a**2 - a + 105*a**2 - 198*a**2 wrt a?\nAnswer: -15*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*f + 498300, 2*n = 4*f + n - 398640. What is f rounded to the nearest one thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16495 + -16069. Calculate the remainder when 1331 is divided by w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247408838?\nAnswer: 2, 23, 149, 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {w: 3, r: 1, e: 1, d: 1, o: 5, g: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14614 and -6.\nAnswer: -87684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*w - 734, 3*w - 94 = 3*o - 622. Suppose -4*l = r - o, -3*r - r = -l + 41. Calculate the common denominator of 31\/20 and l\/6*(-2)\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 952644 (base 13) to base 7\nAnswer: 41443440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3062 and 8?\nAnswer: 12248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 4*t - 470 = -5*y, 25*t + 148 = -18*y + 21*y for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z - 1417. Calculate v(85).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7.03. Let p = u - -0.37. Suppose -5*f = -6*q + 3*q + 34, f + 3*q - 4 = 0. Which is the smallest value? (a) -2\/7 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651596497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 29*h - 425. What is the hundreds digit of w(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/2)\/(-6))\/(-14*(-19)\/6916)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**5*t**2 - 12133442*d**3*t**3 + 53*d**2*t - 125*d*t**3 - 142*t**3 wrt d?\nAnswer: 180*d**2*t**2 - 72800652*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*q**3 + 181*q**3 - 2 - 74*q**3.\nAnswer: 639*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/2)\/(((-84)\/(-77))\/(-6)). Let n = 7 - a. Differentiate -h + n + 16*h + 4*h - 6*h with respect to h.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-63))\/((-3979)\/(-4671)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*498.635\nAnswer: -19.9454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose -16 - 9 = -5*x. What is the remainder when x is divided by 1 + 0 + (g - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l*n*v**2 - 7*l*n*v - 5*l*n + 50*n*v**2 - 4*n*v wrt l?\nAnswer: -n*v**2 - 7*n*v - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let j(d) = -2*d**2 + 4*d + 12. Let n(b) = 3*b**2 - 4*b - 12. Let i(s) = v*j(s) + 3*n(s). Let o be i(-8). Round o to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2692.2 - -3075. Let o = u - 383. Sort 4, o, -2, 0 in descending order.\nAnswer: 4, 0, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 164246 - 164243 - 2*d + 0*d. Let t(v) = -3*v - 2. Let i be t(-2). Calculate a(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 617476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26291\/3374 - 36\/241. Calculate the common denominator of g and (-28)\/7 + (-78)\/20 + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -19. Let k be (-2 + 1)*(1 - m). Let c be (-4)\/((1 + 0)*k). Solve -3*b = -c*h + 15, 3*h - 2*b + 4*b = -10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*k + 4, -3*c = 2*c + 5*k - 25. Suppose 8*p = -c*p + 495. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 2*h**4 + 0*h**2 + (2*h**2 + h**3 - 2*h**2)*(1805 + 345*h - 1805).\nAnswer: 347*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0381 + 7.9619. Which is smaller: -19 or z?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*z + 4*z - 5, -3*l + 15 = 5*z. Suppose 5*q - 4*x - 23 = 0, -l*q + 3 = 3*x - 6. Let y(h) = h**2 + 0*h**2 - 4*h**3 + 4*h + 3*h**3. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 + 1272408*x**2 + 134917237455*x - 269839564566 = 0. Calculate x.\nAnswer: -212069, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -62379*o. Let t(c) = -2*c. Calculate z(t(j)).\nAnswer: 124758*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217559311.\nAnswer: 3, 11, 47, 476587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08977236 rounded to 3 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 71564400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:37 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, s: 3, p: 1, h: 3, g: 1}. Give prob of picking 1 s and 1 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6264870 and 85\/758.\nAnswer: 6264870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 851 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 16102.\nAnswer: 1\/16102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 35. Suppose -n + 10 = x. Suppose -d + 5*u + 5 = 0, 3*d - 3*u - 1 = 2. Is n < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 3*b - 64 + 3 = 2, -q - 3*b + 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114 or -365\/3?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let k(p) = 2*p**2 - 36*p - 62. Let v be k(21). Let z(n) = 99*n - 193*n - v*n**2 + 94*n. Calculate z(i(j)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -3, -2, 34?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 99386*h - 99386*h + 7468*h**4 + (h - h + h)*(0 - h**3 + 0) as i*h**3 + r*h + w*h**4 + k + v*h**2 and give w.\nAnswer: 7467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-27)*(-72)\/(-384). Let t(r) be the second derivative of 0 + 1\/3*r**3 - 5*r + 3\/2*r**2 - y*r**4. Suppose t(z) = 0. Calculate z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*c**2 + 207*c - 1783181 wrt c.\nAnswer: 54*c + 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.192187mm?\nAnswer: 192187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*u + 6 = 77, -2*v - u + 139 = 0. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2177 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101744442 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2959 is divided by 2711.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 11*j**2 - 4*j - 13. Let u be d(7). Let c = 1017 - u. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*x + 57 = -33. Let v = 2.1 + -1.1. Which is the nearest to x? (a) 1\/4 (b) v (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 106652611 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 8*t + 8. Let f = -26 + 48. Let b = -14 + f. Let x(u) = -u**2 + 6*u + 10. Let c be x(b). Give j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/135)\/((-171)\/(-12255)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 125810 = 4*j. Let u = j - 12555. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1*(sqrt(3) + sqrt(12)\/sqrt(4)) - 1*sqrt(147)) + (sqrt(12) - (2 + sqrt(48))).\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*g = -46, -h + 69 = -4*h + g. Suppose -4*b + b + 9 = 0. Put b, h, -4 in increasing order.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4064787 is divided by 411.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 23690390.14\nAnswer: -23690389.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -279 + 319. Calculate the greatest common divisor of 120 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -169.\nAnswer: 14\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-16) + -3 - 0. Let s be (-1)\/((-1)\/(2 - -2)). Let v be ((-1)\/(-3))\/(6\/s). Which is the nearest to v? (a) p (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -1\/7, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 65*y**2 - 2*y. Let b(h) = -6693*h**2 + 207*h. Let f(x) = 2*b(x) + 207*w(x). Let r(m) = -8*m**2. Calculate r(f(g)).\nAnswer: -38088*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231213 is divided by 1574?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -263858 less than 9788?\nAnswer: 273646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10647 and -10?\nAnswer: -106470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 168*r - 16704. Determine a(70).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (-14 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4991 and -97\/3348.\nAnswer: 539028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1065 + 1184.9. Let v = -120 + c. Let m = -1 - -0.7. Put 3, v, m in descending order.\nAnswer: 3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 77844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25569*v**2*x**3 + 2*v**2*x + 18*v*x**2 + 52*v*x - 2*x**5 - 2 wrt x?\nAnswer: -153414*v**2 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3, -1, 1, -3382\/7, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/4)\/((819\/(-104))\/21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 - (1 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let y be a + 0 + 1\/(-1). Find the third derivative of -o**6 + 0*o**6 - 12*o**2 + 14*o**y wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4544 is divided by 2894.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*240\/45. Let y(d) = -d**2 + 5*d + 8. Let h be y(6). Solve 0 = -h*i - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 - 67*n - 20. Give j(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -45.86. Round p to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309046 + 154523 + 154521 - 12*o**2 + 0*o**2.\nAnswer: -12*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 889, 1792, 2695?\nAnswer: 3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 770379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*b + 103*b + 34 = 0. What is the smallest value in -4, b, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 53*p**2 + 267 - 267. Let h(w) = w. What is h(z(s))?\nAnswer: 53*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g + 9. Let w(l) = -5 + 5 + 0*l + g*l. Let h(m) = -7*m**2. Give h(w(j)).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 174016 - 181588. List the prime factors of h.\nAnswer: 19, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 8*i**2 + 7. Let o be x(8). Suppose 2*k - o = b, 5*b = -13 - 12. What is the greatest common factor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-16)\/(-4))\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*y + 5 = -3, 9 = -3*o - y. Let f(n) = -2*n**3 - 4*n**2 - 4*n - 2. Calculate the smallest common multiple of f(o) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y - 85*y = -17*y - 1836 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29339 + -29311. Which is the nearest to 1? (a) 0.4 (b) n (c) 3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140446 (base 9) to base 13.\nAnswer: -2ccb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69351.89*2.9.\nAnswer: -201120.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 44. Let i be u - 2\/4*0. Let r(q) = q**3 + 12*q**2 - 7*q - 7. Let h be r(-12). What is the greatest common divisor of i and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218163764 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 - -6)) + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6424*i**4*t**2 + 10*i**3*t**2 + 40*i**2*t**2 + 495*i**2 wrt i?\nAnswer: 154176*i*t**2 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -115*v + 11. Let h(j) = 6 - 23*j - 12 + 17 - 9. Give -2*a(p) + 11*h(p).\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18)*(-8)\/(192\/9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - u = -327, -5*h + 6*u + 315 = u. List the prime factors of h.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:26 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/113435 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Suppose -56*t = -25*t - 310. What is the lowest common multiple of x and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 22*h + 58 = 4*d, 57 = 4*d - h. Suppose 4 = -4*j, 6*b - j = 3*b + 7. What is the remainder when -18*((-3)\/(-6) - b) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1708 + 2179 + 13*b**2 + 7*b**2 + 1702 - 5589.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/3 - 7\/3*y**3 + 218\/3*y**2 + 193\/3*y = 0.\nAnswer: -1, 1\/7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18389635, 36779270, 55168905?\nAnswer: 73558540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/2, -89, 5 in ascending order.\nAnswer: -89, -4, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 - 6*a + 4. Give l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 779\/5 or 156?\nAnswer: 779\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*n - 46, 0 = -10*w + n + 15688 - 16061 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 6*s - s + (-3 - 1 + 0)*(0 + 0 - s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*4\/16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**3 + 62*a**5 + 2*a**2 - 42*a**6 - 3*a**2 - 1072 - 59*a**5 - 11*a**3 wrt a?\nAnswer: -5040*a**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206215 = 206206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761.261 millilitres in litres?\nAnswer: 4.761261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4933, -4931, -4929, -4927, -4925, -4923?\nAnswer: -4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:43 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 1 (b) -1\/176 (c) -1\/3 (d) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2100567460 to the nearest one million.\nAnswer: 2101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwgg when four letters picked without replacement from gjwwgwgg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - (-122 - 14)) + -23 + 7 + 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0725397 and 4?\nAnswer: -0.2901588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724, -671, -622, -577, -536, -499, -466?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 + 1489*p**4 + 126174*p**3 + 369598*p**2 + 366625*p + 121713 = 0. What is p?\nAnswer: -1399, -87, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 + 166*u**2 + 696*u = 0?\nAnswer: -4, 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -t + 2*h, -t - 4*h + 2*h - 5 = 0. What is the tens digit of (3 - -1*9) + t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 2 b when four letters picked without replacement from {b: 3, l: 1, d: 7, c: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*y - 8 + 48, 12 = 3*v + 3*y. Is (327\/2)\/(v\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/517, -1\/16, -0.2 in ascending order.\nAnswer: -0.2, -1\/16, 4\/517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiispgpbg. Give prob of picking 1 k, 1 g, and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/60 - 53*x**4\/24 - 7*x**3 + 3835*x**2. Let r(z) = -3*z**2. Determine w(r(t)).\nAnswer: -9*t**4 + 159*t**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5*(-10)\/(-125)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 5. Let x = -59.1 + 59. What is the nearest to x in 3, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01394 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(114)\/(2*sqrt(150)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6 + -1 + 16\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -1.1552 (c) 119\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = 60. Let f = g - 9. Let o = -4 - -9. What is the closest to 2 in f, o, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1268*y**2 + 655255*y - 655255*y + (-2*y - 3*y + 7*y)*(1 + y - 1) + 8*y**2 - 19 + 19.\nAnswer: -1258*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 225 = 60. Suppose 0 = 3*u + c + 131. Let m = -62 - u. Solve -l = -m*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 16 = -2*j - 2*j, -5*a = -j + 4. Suppose 5*x = 5*y - 70, x = 2*y - 4*x - 31. Let o = y - 8. Solve a*w = w + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let q(t) = -2*t**2 - t**2 + 2*t**2 - 3*t**2. Determine q(m(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.6781*0.045.\nAnswer: 1.2455145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4896 and 216.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29255*t - 8645 wrt t?\nAnswer: 29255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2114 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.502*3.061.\nAnswer: 19.902622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14010653525 - 1?\nAnswer: 14010653524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 14*a - 16. Let n be l(15). Suppose -2 = -h, 0*z + 4*h - 4 = z. Put 0, z, n in decreasing order.\nAnswer: z, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffxoyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - o + 1893, -2*u - 1893 = -5*u - 5*o. Suppose -423 - u = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Let u(n) = -3*n**2 + 4*n - 4. Let z(w) = -w**2 + w - 1. Let b(t) = -u(t) + 4*z(t). Give o(b(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 716 and 316830.\nAnswer: 633660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.322328 to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or 791?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/(-7) + (-8)\/28. Suppose -g = 38 - 37. Sort n, g, 0.\nAnswer: n, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18485608 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*p - 18, -p + x = p + 19. Let h(q) = -236*q - 8. Let s(a) = 629*a + 24. Let z(u) = 8*h(u) + 3*s(u). Give z(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361860102?\nAnswer: 2, 3637, 187223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/7))**(-1\/20)\/(v**(5\/3)*v**(-12)) assuming v is positive.\nAnswer: v**(2161\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d - 738 = -1653 - 1570 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t - t**2 + 0*t**4 + 0*t**5 + 0*t**3 - 1\/3*t**6 - 2. Find the second derivative of b(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*245.94262\nAnswer: -5902.62288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 549, 1015, 1481, 1947?\n\"Answer: 466*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -41*x - 39. Let p be j(-1). Suppose 29 = -5*u - f, 3*u + 0 = 3*f - 3. Put p, u, 5 in descending order.\nAnswer: 5, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2862913\/88 or -32533?\nAnswer: -2862913\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*g = -204*g - 9482 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -25*x - 42, 32*x - 30*x = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 155854, 623402, 1402650, 2493598, 3896246?\n\"Answer: 155850*m**2 - 2*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose j*u = 9 - 0. Solve 0 - u = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/120 - t**5\/12 - t**4\/24 + t**3\/2 - 14*t**2. What is g(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 10*a + 1. Let q be r(4). Let n(b) = b**3 + 4*b**2 - 2. Let v be n(-4). Let g = q + v. What is the least common multiple of 4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 3\/1)*-2. Let b be 3*(12\/(-9))\/2. What is the remainder when o\/b*312\/6 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -851 - -849. What is the second biggest value in 1\/4, y, 0, -2\/9, 15\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155 - 108) + 103 + -105?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/15, 0.1, 15, -1 in descending order.\nAnswer: 15, 3, 2\/15, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3685 (b) 2 (c) 4\/9 (d) -0.14 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uneue. Give prob of picking 2 u and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by (-41 - (2 - 2))*-1?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/18*(60\/64)\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7480 - -8584. Calculate the lowest common multiple of 180 and t.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdbf when four letters picked without replacement from {w: 1, q: 1, d: 2, f: 2, t: 2, b: 11}?\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8678 - 0.3678. Let r = 0.09 + -0.15. Sort c, r, 2\/9 in descending order.\nAnswer: c, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2098)\/3147)\/(3\/171*(1 + 0))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202011122112 (base 3) in base 11?\nAnswer: 584652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 140770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 159 - 52 = j, -3*j - 2*v = -322. What is the remainder when j is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 63*f**3 - f. Suppose 32 = 2*v - 0*v. Suppose 2*b = 2*c - 9 - 3, c - 3*b = v. List the prime factors of u(c).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 15. Let r(d) = d**2 + 1. Suppose -2*v + 4 = 12. Let t(p) = -8*p**2 - 3. Let b(m) = m**2. Let l(y) = v*b(y) - t(y). What is i*r(q) + l(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45231 + -45233. Let j(r) = r**3 - 9*r**2 + 7*r + 7. Let t be j(8). What is the nearest to -0.1 in 0, s, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 73\/(-4) + 39\/(-52). Let y = j - -23. Suppose 4*u = -y*r + 3*r - 2, 3*u = 2*r - 18. What is the highest common factor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*1\/12)\/(2\/24). Suppose -5*p - v = -203, -5*p - c*v + v + 206 = 0. Calculate the highest common factor of p and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3004*l - 7 - 23 = -2999*l - 5*w, 32*l + 3*w = 18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, -64, 2, 4, -10 in decreasing order.\nAnswer: 20, 4, 2, -1, -10, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4681930 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 0.1, 0.4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 0.0608259?\nAnswer: 1.1556921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90.82 + 2.\nAnswer: -88.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 0.03.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -1522969?\nAnswer: 3\/217567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/22440 and -29\/192049?\nAnswer: 23045880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 2\/3 (c) 1 (d) -75 (e) 2318 (f) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 96. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 972*w + 1 + 969*w + 2*w**3 + w**3 - 2*w**4 as j*w**2 + s + z*w**3 + b*w**4 + p*w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, u: 4, c: 1, y: 5, j: 2}. Give prob of sequence yjc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -8 in descending order.\nAnswer: 3, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**10)\/p)**(-3\/7)*p**(13\/4)*(((p\/(p*p**(-22)))\/p)\/p)\/p)**(-1\/45) assuming p is positive.\nAnswer: p**(-503\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1885 + a347?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/21*(-12)\/(-10). Let q(h) = -42*h**3 - 5*h**2 + 4. Let l(v) = 43*v**3 + 6*v**2 - 5. Let s(r) = p*q(r) - 3*l(r). Does 19 divide s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 + a + 3. Let w be u(0). Let t be 6 - ((4 - 5) + 4*1). Solve 0 = t*m, 5*b - w*m - 7 = -27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.07, 3, -33, 2\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1701*c**2 + c - 1692*c**2 - 10*c**3 + 1 + 7*c**3 + 22*c**3 to the form u*c**3 + s*c**2 + w*c + m and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y - 252 + 5*y**3 - 224 + 487 + (-2 + 2 - y)*(4*y**2 + 2*y - 2*y) to the form d + b*y**2 + r*y + h*y**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 + 2 = -2*m. Suppose -39*o = -47*o + m. Suppose 3*b = 3*i + 6, -5*b + 7 = i - 9. What is the greatest common factor of b and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575709249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17473427*c*v**2 + 22756*c*v + 39*c wrt v?\nAnswer: -34946854*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -306547*q + 61560 wrt q.\nAnswer: -306547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 912, 3117, 6600, 11361, 17400, 24717?\n\"Answer: 639*k**2 + 288*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 18) + -2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -48445876\nAnswer: 96891752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/51 + 1397\/336. Let f = h - 55\/14. Calculate the common denominator of f and (1\/5)\/((-16)\/(-990)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 232201010?\nAnswer: 232200333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.6 - -18. What is the nearest to -0.4 in 3, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-6)*(-9768)\/(-32). Suppose 28*r - g = 1454. What is the remainder when r is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298 + 295. Let w = -99.2 - -99. Sort -3\/4, 1\/3, w, g in decreasing order.\nAnswer: 1\/3, w, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f + 15*f + f**2 + 2*f**2 + 2*f**2 - 3*f**2 + 0*f**2 + 5*f**2 - 4*f**2 + (0*f - 2*f + 4*f)*(1 + f - 1))*(3 + f**2 - 3) + 5*f**3 - 5*f**3 + 2*f**4.\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28505?\nAnswer: 5, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u**3 + 2*u**2 + 2*u + 1. Let h be w(-1). Suppose 0 = -2*j + h + 37. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 27 + 14 + 12 + 2.\nAnswer: -20*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 327957366*n - 8963002826138163.\nAnswer: -3*(n + 54659561)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3364 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-165)*3\/(-23)*26\/(-13)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*a = -2*a + 6, 0 = -5*j + 4*a + 1. Let p be (-2 - -1)*2 - 2. Is j at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7238*i**3 + 13754*i?\nAnswer: 43428*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -53 + 2 + (-6 - (-2 + 2)). List the prime factors of s*(21\/(-45) - (-2)\/(-10)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/14 + (-95)\/105)*0. Suppose -3*q = -2*n + 4*n - 3, -2 = -n - q. Solve r = n*u + u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Suppose 2*q + 2*q = 4*a - 340, -n*a = q - 413. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 70178221.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 329 - 505. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 13*a - 10*a. Calculate the lowest common multiple of 21 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1.8.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 75*t - 8 - 98. Solve 2*n = -t*o + 6, 2*o - n + 19 = 7*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 27 - 23 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5514*m + 3008*m - 6096*m)*(-3 - 2*m**3 - 5 + 3) to the form w*m**2 + k*m**4 + q + v*m**3 + b*m and give b.\nAnswer: 43010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -19 + 9 + 10 + 2*s. Let p(v) = -99*v. Give p(c(f)).\nAnswer: -198*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 31*v**3 + 8*v**2 - 34*v - 45. Let y(s) = 40*s**3 + 11*s**2 - 45*s - 60. Let w(i) = -9*h(i) + 7*y(i). Give w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-27)*(-12)\/10*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 - 10*a + 10. Let h be v(4). Suppose -s + 20 - h = 0. Let k = 10 - 10.2. Sort 4, s, k in ascending order.\nAnswer: k, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 436 - 117 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*f + 925 = 199. Solve -w - 6 = 3*g + 5, f*g = -10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**3 - 3*u**2 - 143*u + 869. Is l(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 150001\/5 - 8\/40. Suppose m = 13*t - 7*t. What is t rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-189)*(-112)\/6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (sqrt(252) + -2*sqrt(252))*2)\/sqrt(12))\/(sqrt(1008)*2))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l - 5 = 0. Calculate the remainder when 2\/l - 5184\/(-160) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqivjqqzzqq. What is prob of sequence vviz?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**2. Let w(y) = -21848*y - 3. What is w(h(c))?\nAnswer: -174784*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 4:09 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 3, y: 1, u: 3, k: 2}. What is prob of sequence wwyw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2 + (-4 + 1 + 1)*(3 + 0 - 5))*(v - v - 4*v) - 3*v - 2*v + 4*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y - y)*(116*y - 110*y - 4 + 7).\nAnswer: -12*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 27396*d + 1013576. Give j(-37).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y + 204. Let n(d) = 34*d - 432. Calculate -3*n(f) - 5*t(f).\nAnswer: -17*f + 276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*i + 174 = 0, 0*z + 3*z + 4*i = 296. Let j = z - 88. Solve b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Let t = s - 8. Let y = 2977 - 2976.5. Which is the biggest value? (a) -2 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64142 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**2 - 3*f**4 + 24*f**3 - 6*f**2 - 9653*f + 9611*f.\nAnswer: -3*f*(f - 7)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90.295 + -85.49. Round n to one decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 124?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*h, -4*h + 0*h - 16 = 0. What is the second derivative of 23*c**2 - 2*c - g*c + c - 22*c**2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m + 26. Let u = 12 + -7. Let y be b(u). Suppose -2*t + y = -t. Solve -2*z = -3 + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -112*w - 6919. Give t(-70).\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065722 to the power of 1\/2, to the nearest integer?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*3110\/(-311).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*-1*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 554 and -0.79.\nAnswer: -437.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - -46 - (-1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.7 and -26.\nAnswer: -22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -j - 2*j. Let w(g) = 12*g - 404. Let r be w(37). Calculate the highest common divisor of r and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by ((1 + -1)\/(-5))\/(-2) + 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-48) - -3 - ((-2)\/288)\/((-639)\/(-101601))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4733759 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 460\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/21 - 14018*s\/21 + 9348\/7 = 0.\nAnswer: -7011, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -61*h**2 - 83*h**2 - 31*h**2. Let g(r) = 9*r**2. What is g(d(x))?\nAnswer: 275625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and 1311.9?\nAnswer: 1279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 84*t**3 + 13*t**2\/2 + 8*t - 22. Is f(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**3 - c**2 + 5*c + 4. Let g be j(-3). Let t = g + -119. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101215278?\nAnswer: 2, 3, 29, 64633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by (28\/(-4) + 5)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 12) in base 6?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -402809\/46932 - 2\/3911. Calculate the common denominator of -61\/6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295*d*f**4 + 4*d*f**3 + 23*d*f**2 + 2*d*f - 9*f**4 - 3*f**3 + f**2 - 9*f wrt f.\nAnswer: 7080*d*f + 24*d - 216*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 279, -22, 323\/7 in decreasing order.\nAnswer: 279, 323\/7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*-25*(-6)\/60 - 0. Let i(j) = j + 26. Give i(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/(-4)*2020\/(-202).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 132369, 264738, 397107, 529476?\n\"Answer: 132369*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 29. Suppose l*q - 17 - 3 = 0, 0 = 2*r - 5*q + 52. Let v be r\/(-4) + (2 - 1). Solve 2*h = -4*g + 28, 0*h = 4*g + v*h - 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -0.5, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 34. Solve -2*c - c = -x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5133.357mg?\nAnswer: 5.133357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1682, 1678, 1674, 1670, 1666, 1662?\n\"Answer: -4*i + 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -297, -374, -451, -528?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - 3\/9. Let q(k) = -k**2 + 31*k - 238. Let n be q(16). Put n, -0.04, z, -0.3 in ascending order.\nAnswer: -0.3, -0.04, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 14, 46, 104, 194, 322, 494, 716?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -665, -2431, -5367, -9473, -14749, -21195?\n\"Answer: -585*v**2 - 11*v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r + 3*r + 2*r. Let t be n(1). Suppose 3*h = 5*i + 21, -6*h = -2*h + 5*i + 7. Solve h*f = 2*y + 3*y - 11, -t = y - 4*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1949, -2387, -3109, -4121, -5429, -7039, -8957, -11189?\n\"Answer: -p**3 - 136*p**2 - 23*p - 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-8166.\nAnswer: 3266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 10*f + 19. Determine t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14\/3 - -9\/2. Let n = 3.2 + 6.8. What is the closest to 1\/3 in -2, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 72788237105.9 and 0.1.\nAnswer: 72788237106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1651*g - 220. Let p be d(-12). Suppose -9*i = -p - 3097. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 34, 39, 28, 1, -42?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 32. Suppose 2*x = -2*y + 4, -5*x = -z*y - 0*x + 17. Solve y*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/294 - 2152\/45192?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17313856.\nAnswer: 2, 7, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*195674\nAnswer: -19567.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (205261\/213)\/(-59)*3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 23*y**2 - 4*y - 67. Let r be u(11). Let n be (r + (-420)\/45)\/((-1)\/3). Which is the biggest value? (a) -0.4 (b) 6 (c) -1\/3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 108. Let r = s - 16. Let m = -3 + r. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548135276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6638*z**2 - 4228*z**2 + 63457*z**2.\nAnswer: 65867*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2 + 780*j - 16. Let c(g) = 2*g**2 - 4*g + 4. Give -4*c(b) - z(b).\nAnswer: -b**2 - 764*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2968*a*k**4 - 62*a*k**2 + 53*a*k + k**5 + 52872*k wrt k?\nAnswer: 35616*a*k**2 - 124*a + 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21120.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x - 642. Calculate k(-36).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23614*u - 23613*u + 4*g = 13, u + g - 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -8. Suppose -2*y - y + 16 = 4*c, -m = -3*c + y. Find the second derivative of 0*n**4 - 2*n**c + 2*n + n**4 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + d + 1. Is g(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 10 = 2*g, -g + 4*u + 5 = 0. Let c = 0 - -5. Suppose 1 = -x + c. Solve -5*r - x*k - 5 = 0, 7 = g*k + 32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14686.89478 rounded to the nearest 10?\nAnswer: 14690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:15 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56322 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 1\/4*t**3 + 0*t**5 + 7\/96*t**4 + 0*t + 0 - 1\/480*t**6 - 15*t**2. Let r(b) = 0. Calculate b.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 7. Suppose 0 = 49*b - 65*b + 48. Determine f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 3*m + 4. Let d be a(6). Let y = d - -58. Solve c - 5*c - y = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1684*y + 99. What is the hundreds digit of v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*t + 23 = -1046*t + 2*s, 3*s = -t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124042 at least 1116370\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one fifths of a century?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0.4 (c) -291 (d) 0.06 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + 118a49?\nAnswer: 119001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-1 + 4 + -583). Let y be (-12 - 2)*s\/4. Is (21\/9)\/((-7)\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 2*d**7\/315 - 2*d**6\/9 - 2*d**2 - 2*d + 32. Factor c(n).\nAnswer: 4*n**3*(n - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 38 = 4*u. Let y be ((-1956)\/(-22))\/6 - 4\/(-22). Let g(r) = r - 11. Let j be g(y). Solve 5*o = -j*k + 26, -3*o - 3*k = -u - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let k be 1\/((-2)\/46) - 3. Let s be (-30)\/20 - k\/16. Does s = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -677226216 and 0.014.\nAnswer: -677226215.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16 and -26\/5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (30 + (36 - 48)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -31. What is the nearest to -2 in 1\/4, c, 1\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95931, -94881, -93831, -92781?\nAnswer: -91731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10.1+-9795099\nAnswer: -9795088.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 97 and 545767271125.\nAnswer: 545767271222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 144, 270, 398?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 >= 687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7)*84\/(-56)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 40*f - 220. Let s be c(24). Calculate the greatest common divisor of 820 and s.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1129081266 by -193.\nAnswer: 5850162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l**4 + 10*l**4 + l - 2*l + 6*l**4 + 5 + 3*l**3 to j*l + i*l**3 + k*l**4 + t*l**2 + x and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15*o**5 + 156387*o**4\/2 - 297045*o**3\/2 + 93783*o**2\/2 + 78171*o\/2 - 15633 = 0.\nAnswer: -1\/2, 2\/5, 1, 5211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 1204?\nAnswer: -73\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(11))**2 + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 + 132. Is 18 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4202254 is divided by 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**5 - 6 + 1\/6*n**6 + 3*n + n**2 - 1\/2*n**3 + 1\/4*n**4. Find the second derivative of w(g) wrt g.\nAnswer: 60*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-5))\/a*a\/(a\/((a\/(a*a*a**35\/a*a*a))\/a)))\/((a**(-5\/6)*a)\/a*a*a)**(5\/8))**(2\/29) assuming a is positive.\nAnswer: a**(-2051\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 398689453 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25375916 - -0.25342. What is s rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 218077, 218071, 218065, 218059, 218053, 218047?\n\"Answer: -6*c + 218083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1045 + -524. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592607?\nAnswer: 269, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6469*w**5 - w**4 - 472*w - 11?\nAnswer: 129380*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by -7?\nAnswer: 130\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*28\/12*(-3)\/21. Suppose -j = -c, j - 12 = 5*o + 4*j. Let r be (o\/3 - -1) + 2. Is r <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 2, y: 1, q: 1, f: 2, e: 1}. What is prob of sequence py?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Sort k, -1, -12 in increasing order.\nAnswer: -12, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p + 15 = 58*p. Solve p*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1891646 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*w + 1382 - 5481 = 0, i - 1364 = -w. Suppose -i = 5*g - 3*v - 3661, 2*v = -5*g + 2286. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 7499?\nAnswer: 7498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/3 - 1550*m\/3 - 1549\/3 = 0. What is m?\nAnswer: -1549, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 24. What is m(8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1426 - -916. Calculate the common denominator of 1\/(5\/n)*2\/(-28) and 29\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 116. Let u = l + -31. Let y be u + -3 + 0 + -3. What is the greatest common factor of y and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -78*s + 394. Let n be j(5). Solve 14 = n*m - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.807937um in meters?\nAnswer: 0.000003807937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 - 28 = 8*j. Suppose j*s - 44 = 19*s. Is -9\/35 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1868 = 6*r. Let j = -170303 + 170370. Calculate the remainder when r is divided by j.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160294 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 118. Suppose -16*l - 27*l + 3042 = 35*l. What is q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -7. Suppose 17 = -3*d + a. Let s be (-1)\/(164\/(-4)*1\/d). Is 0 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m + 1\/525*m**7 + m**2 + 1\/100*m**6 + 0 - 1\/15*m**4 + 0*m**5 + 0*m**3. Solve s(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3014 and 98366.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.92194t in kilograms?\nAnswer: 5921.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-1 - (-8)\/(-1052)). Let c = v + -504\/2893. What is the nearest to -1\/2 in -5\/2, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -40. Let h = -3.5 + q. Let t = 3 + -2.5. Which is the second biggest value? (a) h (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68222618320*u - 68222618320*u + 365*u**2.\nAnswer: 365*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1*-5 + sqrt(7) - ((sqrt(35)\/sqrt(5) - sqrt(7)) + 0))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-18)\/(-7))\/((-30)\/2380). Suppose -4*k + 757 = 3*r, 5*k - h - 289 = -2*r. What are the prime factors of r?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 2*p**2 + 23*p**2 - 9*p**2 - 7*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*f - 170, -3*n + 0*f - 2*f = 158. Let d be n\/(-182) - 4\/26. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18017 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 1, c: 9, n: 2, z: 2}. What is prob of sequence zrcr?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1650013*z. Let s(d) = 102*d - 1. Calculate w(s(l)).\nAnswer: -168301326*l + 1650013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 450 + -275. Suppose -b + 3*q + 1010 = 0, -b + l = -q - 827. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 14) to base 6\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4, b: 1, m: 2, n: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 57 + -105 + 67?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*p + 8 - 1 = 0, 3*k + 9 = 3*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36678 - 8254 = -748*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -619 - -619. Let o(i) be the third derivative of 0*i**4 + b - 5*i**2 + 0*i + 4\/3*i**3 - 2\/15*i**5. Differentiate o(v) with respect to v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, -5\/9, -3, -21, 1\/4, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1959*r = -1961*r + 16 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 207, 4, -4, 2 in descending order.\nAnswer: 207, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4767 - -176263?\nAnswer: 171274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 185*d + 3*z, -2*d + 915 - 918 = -5*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4171*c + 12 + 9 - 21 - 1075*c + 14 + 5*c - 14 + 1 - c - 1 - 3*c + 0*c + 5*c + (3*c + 0*c - c)*(5 - 4 - 3).\nAnswer: 3098*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1776\/(-180) + 86\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(100)\/sqrt(2)*5)\/(sqrt(160)*2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 8}. What is prob of picking 1 i and 1 m?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16421a7 (base 12) in base 11?\nAnswer: -2639269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 44 = 2*u, 0 = -3*u + 5*k - 341659 + 341650 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 52*p - 7. Let c(k) = 155*k - 22. Give 2*c(f) - 7*l(f).\nAnswer: -54*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-1344)*(-6)\/(-28))\/(3\/18)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let n be k(3). Let l(w) = w + 0*w + 2*w**2 - 3 - 2*w**n + 3*w**2. Let b(a) = a**2 - 1. Let f = -58021 + 58024. Determine f*b(v) - l(v).\nAnswer: 2*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 5. Let n(i) = -1. Let y(f) = k(f) - 5*n(f). Let j = 2 + 0. Let c(z) = -3*z**2 + z**2 - z**j. Give y(c(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r + 2*j - 22, 4*j = 2*r - 28. What is the smallest common multiple of 9 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x + 6. Let w be (5\/2)\/(2\/4). Suppose w*s - 11 + 1 = 0. Suppose s*q = -2*q + 24. Let t(l) = 7*l - 5. What is q*t(p) + 5*a(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/99 + 146882\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t**2 + 27967896 + 46*t - 27967896 to r + a*t + m*t**2 and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -6 in increasing order.\nAnswer: -6, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18877 or 18881?\nAnswer: 18877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**3 + 3*h**2 + 3489*h + 6. Let p(u) = 2*u**3 + u**2 - u + 2. Calculate 3*p(v) - q(v).\nAnswer: -2*v**3 - 3492*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25480 and 512540?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = q - x, -2*x - 17 = -3*q. Suppose 0 = -q*d + 26 + 14. Let r(m) = d*m - 13*m + m. Let o(a) = -a**2. Calculate o(r(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -537 (b) -1.2 (c) -52157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 50. Suppose 3*y = q - 68, -y - q = -0*y + 20. Let d = y - -120. Calculate the greatest common factor of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*u + 14084 + 1078 = 3012 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 - 50*o - 120 = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, 1016, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**2 - 44*q - 53. Give i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/668720 and -16\/4355039?\nAnswer: 348403120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44769363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -22. Which is the smallest value? (a) z (b) -2\/3 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - a = -11, -5585*g + 5584*g - 1 = -2*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Let f = 5197 - 5196.9. Let d = -11\/18 - -1\/9. Sort d, f, p in ascending order.\nAnswer: d, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 6*y**2 - 6. Let i be 2 - (6 + 6\/(-2)). Let q = i + 7. Give w(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*q**3 - 1 - 18*q**3 - 113*q**3 - 203*q**3 + 9*q wrt q?\nAnswer: -1608*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-162)\/2*1\/(-3). Let d = 41 - i. Let m = d - 9. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52108583?\nAnswer: 19, 1109, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/19)\/r**2)\/(r**(1\/3))**(-1\/20) assuming r is positive.\nAnswer: r**(-2381\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(1 - 4) + 2 + 2. Let n(a) = -a**3 + 6*a**2 - a - 3. Give n(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 10 + (10 - 13) + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 336, 0, 3 in ascending order.\nAnswer: 0, 3, 12, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*h*k**3*y + 3*h*k**2*y - h*k**2 - 92201*h*k*y - 7*h*y**2 + 16588*k**3*y**2 + k**3*y - 2*k**2*y**2 + 2*k**2*y wrt k.\nAnswer: -438*h*y + 99528*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 + 19 = 0. Suppose -10 = -4*j - n - n, -4*j - 5*n - g = 0. Let a = -2 + j. Solve -2*x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 17682121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) - (6 - 7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 84 + 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 82*u + 1131. Let n be d(-94). Solve 5*c - 3*i = -16, -c - c - n*i = 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 10:45 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 6. Let r(f) = -f + 3. Determine 2*n(q) - 5*r(q).\nAnswer: 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (18*(-20)\/(-90))\/((-2)\/(-8)*6\/(-12))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 1686528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -72. Let x be (-2 + t)*-1*(1 + 1). Solve k - x*k - 10 = 5*i, 4*i = -k - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14027160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(847)*-1 - 2*(sqrt(847) + 0))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 2. Let h(z) = -z + 4. Let n(o) = 3*h(o) - k(o). Determine n(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 419 - 418. Let n be (231\/(-35))\/(-11) + (-63)\/255. What is the second smallest value in -3, 0, n, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2051*w**2 - 1485 + 28967*w - 28967*w wrt w?\nAnswer: 4102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122167001789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v + 8. Let i(a) = -8*a - 9. Let u(t) = -5*i(t) - 6*w(t). What is the tens digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from triiitiitt?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 753 = -173. Let h = 149 - a. Determine o so that 1\/7*o**5 + 1\/7 + 2\/7*o**2 + 2\/7*o**3 - 3\/7*o - 3\/7*o**h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/10063666 and -113\/160.\nAnswer: 805093280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4762*l**2 + 5*l. Let t be j(1). Suppose -t + 1102 = -5*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111101101011011011 (base 2) in base 9?\nAnswer: 1853288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Suppose -x*b = -2*b - 6. Suppose 8 = 4*c + 4*u, -b*c + 3*u = -0*u - 18. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 42.\nAnswer: -13, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*s - 34*s + 139*s - 314 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/3 (b) 10 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (28 - 7 - 23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 49. Let j be 916\/40 + 3\/30. Let w = j + s. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2188079 and 2188078 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 6, -3, -2, 7, -1465, 0.\nAnswer: -1465, -17, -3, -2, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 654824464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7905.534 minutes in hours?\nAnswer: 131.7589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318 + 2624 + 7*y - 1314 - 5*y.\nAnswer: 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**3\/3 + w + 1. Let f be v(-1). Solve f = u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q - 31. Let j = -65 + 58. Let i be b(j). Suppose 2*d - i + 4 = -3*w, -3*w = -3*d - 6. Solve -5*z + 2*z + 27 = 3*o, 5*o = 3*z + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 13 = 0, 4641*c - 5*s = 4639*c - 69 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((5 + -4)*-3). Suppose 4*a - 2642 = j*x, -a - 5*x = -x - 647. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 5:22 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 351.\nAnswer: -4\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -46, 0, -38, -15 in decreasing order.\nAnswer: 0, -3, -15, -38, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 16?\nAnswer: -17\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b - 2, 5*t = b + 30004. What is t rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in 2\/3, -0.5, 23, 6, 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58117526 to the nearest integer?\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889192.829 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/3 + 19\/(-57). Suppose -t*y = -4 - 11. Let u(d) = 3*d**2 - 5*d + 2. Give u(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 3662 = -18*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*b**16)*b)*(b*b**(-10)\/b)\/b)**(-12\/5) assuming b is positive.\nAnswer: b**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.0000005 - -5. Round i to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m - 6. Let i be o(10). Let r = -36 + i. Suppose r = 3*h + 2*g - 6*g, -3*h - g = -8. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00080670219 to 7 dps.\nAnswer: 0.0008067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:17 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -53*b + 427. Let a be k(8). Let i(g) be the first derivative of 9*g + 0*g**2 - 10\/3*g**a + 1. What is the first derivative of i(x) wrt x?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4558 - -3331. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -17*s - 10. What is the remainder when t(-6) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*m - 22, n + 0*m + 3*m + 10 = 0. What is the units digit of 4 - (3 - n) - 742\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:43 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mocoooooaoma. Give prob of sequence mm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a (base 16) in base 2?\nAnswer: -100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*u - 184*u + 8442 = 0 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**3 + l**3 - 2*l**3)*(83 - 28 + 66) to b*l**2 + d + c*l**3 + y*l and give c.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 91\/2*z**2 + 56\/3*z**3 + 92*z - 1. Find the first derivative of v(l) wrt l.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 139*a - 86710 = 0. Calculate the greatest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-5 - -14) + 15 + -13)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 + m. Let b be k(1). Let r = 5 + b. Let w = r - -8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1471\/418 + -37\/38. Let z = 199\/22 - x. Sort -5\/4, 4\/7, z in decreasing order.\nAnswer: z, 4\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, 1, -5.\nAnswer: -5, -3, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23001986647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520\/228*(1346\/10 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 475, 0.5, 0.2, 263 in descending order.\nAnswer: 475, 263, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1341, 5363, 12069, 21459, 33533?\nAnswer: 48291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -472741 and -0.2182.\nAnswer: -472741.2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 3 - 3.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*x - 33 = 0, 1 = 2*x + 3. Let t(v) = v**2 + 3*v - 12. Let q be t(m). Suppose -q = -g - 14. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86892?\nAnswer: 2, 3, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22 and -32.2093.\nAnswer: -10.2093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 100*f**2 + 11*f - 7. Let u be m(-8). Is u != 6305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*k - 16, -88 = 22*x + 8*k - 12*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 42. Solve f + 2*f - x = -9, -5*x = 2*f - t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Suppose -11 - 5 = -g*x. What is the least common multiple of 22 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715.299 litres in millilitres?\nAnswer: 715299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116514 = -158*v - 118252 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.140217579 rounded to four decimal places?\nAnswer: -2.1402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -0.13286638081.\nAnswer: -0.21286638081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 64 = -3*i. Let p = -20 - i. Let t be 4 - (-2 - -8) - 3. Does p = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1098.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1090.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 - (-6 + -65 + -2). Let y be 7\/(-1)*960\/i. Let k = y - -187. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f**(-1\/10)*f)*f*f)*f*(f\/f**(2\/3))\/f*f)\/((f\/f**(-1))\/f*f*f**(-1\/7)*f) assuming f is positive.\nAnswer: f**(-761\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 - 4213980*j**2 + 4213980*j**2.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-248 - -203 - (-6 - (-7 - -4))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 221*w**2 + 333*w + 291. Give n(112).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66320.34 milliseconds to seconds.\nAnswer: 66.32034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 + 3*n + 3. Let d be t(-1). What is the units digit of (-1 - -4) + d*(-57)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952443 is divided by 34012?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose 4*s - 15 = b*d, s + 5*d + 3 = 1. Suppose -4*i + 12 = -s*i + 4*f, -2*i + 24 = 3*f. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1597*b**5 + 242*b**4 - 46*b**3 - 585103*b**2 - 168*b wrt b?\nAnswer: -95820*b**2 + 5808*b - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -y + 2*t, 4*t + 12 - 15 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -3, 4, 3, -2.253 in increasing order.\nAnswer: -3, -2.253, 0.3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108214 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 406*g - 781*g - 9 + 384*g. Let x(c) = -c**2 - c + 1. Give 2*s(d) + 18*x(d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(171) + 5 + 4*(sqrt(171) - (sqrt(171)*1 + -1 + sqrt(171) - sqrt(171))) + 4)**2.\nAnswer: -108*sqrt(19) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 1 + 1)*(-2*g**3 + 4*g**3 - g**3) + (1 - g**3 - 1)*(g - 2*g - 7*g).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((9*-2)\/(-1))\/(13 - 11). Solve -2*c + 17 - b = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/117581293 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 6:26 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15826.5*5.\nAnswer: -79132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/9 + 24434280*h + 219908516\/9.\nAnswer: 4*(h + 1)*(h + 54977129)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 187\/4. Let h = -54.72 + -1.28. Let b = h - -53. Sort n, b, 2\/3 in descending order.\nAnswer: 2\/3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -15*o**2 - 9*o + 10. Let y be z(3). Let p = y + 788. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229512, -457680, -685848?\nAnswer: -914016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 14*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128)\/sqrt(4))\/sqrt(8))\/((sqrt(22) - -1*sqrt(22))\/sqrt(11)) + 1)**2.\nAnswer: sqrt(2) + 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4545084 divided by 378757\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 4*o - 63. Suppose -6702 = -o*d + d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005966365 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 5*f - 1. Let j(c) = 4*c**2 + c - 47. Suppose g + 12 = 3*g. What is the remainder when j(g) is divided by o(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*168753\nAnswer: 4218825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/10296 and 115\/3696.\nAnswer: 144144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.4783 minutes in nanoseconds?\nAnswer: 48508698000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.16, 6, 7\/2, 5 in ascending order.\nAnswer: -0.1, 0.16, 7\/2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.45 and 102.6?\nAnswer: 102.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5203613283 to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 60.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17213?\nAnswer: 7, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 240*m + 14632. Determine w(-128).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 10*h**2 - 18*h + 25. Calculate y(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 2*k**3 + 4*k - 3*k**2 - 2*k. Let m be y(-3). Let q be (-1)\/(-3) - 5\/m. Which is greater: 2\/7 or q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331 to the nearest 10.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -548 + 552. What is the greatest common factor of 68 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-93) - (35241\/3162 + -11).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 3*h. Suppose -5*z + 8*z - 15 = 0. Let a be 2\/6*(18 + -9). Suppose -r = -4*q + r, z*q + a*r + 22 = 0. Calculate j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6513 (b) 0.2 (c) 0.4 (d) 25 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -8?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79\/3098 - 213043\/817872. What is the common denominator of 5 and i?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434341.\nAnswer: 31, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/4)\/(-23)*(-8)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1018 divided by -68\nAnswer: 509\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1615 = -2*l - 326, 0 = 3*l - g - 1942. Let k(q) = q - 4. Let w be k(6). Suppose 591 = w*a - l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-179)\/(-36) + (-87)\/(-58) - 6. Let d = 7\/9 + z. Determine m so that 5\/4*m + 5\/2*m**3 - 5\/2*m**2 - d*m**4 - 1\/4 + 1\/4*m**5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1224 + -144)*(-1 - 1)\/6. Is i smaller than 457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/5, 5, -1048, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -26*p - 160. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c + 5. Suppose 16 + 224 - 42 = -18*j. Let w(m) = 6*m**2 + 15*m + 25. Give j*i(a) + 2*w(a).\nAnswer: a**2 - 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4668 + -2435. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*y - y. Let l be ((-8)\/10)\/(4\/y). Solve -2*s - 5*i = 8, 4*s = 6*s + l*i + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2933 - -1139. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120496?\nAnswer: 2, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and 5\/37594788.\nAnswer: 37594788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4853?\nAnswer: 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619.958 nanoseconds in minutes?\nAnswer: 0.0000000769993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 + -31695252069.\nAnswer: -31695252102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23729, 23979, 24229?\nAnswer: 24479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(6\/7)*s)))\/(s*s*s\/(s**(-8)\/s*s)))**(-21) assuming s is positive.\nAnswer: s**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-16)*2\/3. Let i = -8.5 + 1.5. Let u = i + 6. What is the closest to u in -3, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 208815 - 139185. Round w to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 5. Suppose -3 = -4*a - 63. Let q = a + 10. What are the prime factors of s(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9919.\nAnswer: 9922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + r**3 + 4622303*r**2 - 4622303*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yggo when four letters picked without replacement from {n: 2, g: 5, o: 1, q: 1, u: 2, y: 4}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18973*q**2 + 321*q + 3093565.\nAnswer: 37946*q + 321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*c + 272 = -625*c - 611*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-803)\/55)\/(102\/(-85) - (0 - 1)). Put 4, -3, y, -5 in descending order.\nAnswer: y, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 28 = 37*r. Solve 0 = 3*u + f + 11, r*u + 2*u + 22 = -5*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 + 51*o - 111. Let f be t(2). Which is the closest to 3? (a) -2 (b) -0.047 (c) -2\/5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 210*g**3 - 12*g + 348 + 44*g - 13*g - 19*g wrt g?\nAnswer: 630*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104 or -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 353621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 259\/214454?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 767272958*y**4 - 20687*y + 13886?\nAnswer: 9207275496*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*a + 30, 5*a + 23 = -221*l + 219*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3982, 3973, 3976, 3997, 4042?\n\"Answer: n**3 - 16*n + 3997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*y - 19, 15 + 12 = -3*f + 3*y. Let c be 39\/(-156) - 26\/f. Solve -i = -0*i + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.4 in 7, 3, -1.3, 92, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(5\/(-10)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*339.07592.\nAnswer: -33.907592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/6 - (-4 + -3))\/(0 - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.2. Let m = -1 + k. Let r = -3 + 2.9. Which is the closest to m? (a) r (b) 4\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3702 + -4?\nAnswer: -3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0) + -8 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171904617 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32028735 is divided by 661?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 11 = -31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, e: 1, g: 3, m: 10, n: 1}. Give prob of sequence egg.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m - 1\/24*m**4 + 0 + 0*m**3 - 30*m**2. Let j(r) = 82*r**2. Calculate b(j(n)).\nAnswer: -82*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 6 = -10*d. Find the first derivative of -d*u**2 - 9*u**2 + 5*u**2 - 4 - 4*u**2 wrt u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 55 = s, -2*j + s = -4*s + 122. Let t(h) = h + 108. Let d be t(-8). Let q = d + j. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*t - 0*x - 8, 3*x + 12 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/13, -7\/2, -2912\/37 in decreasing order.\nAnswer: 2\/13, -1\/2, -7\/2, -2912\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) -3 (b) 17 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n. Let u(j) = -37*j + 7. Let l(d) = -7*d + 1. Let f(t) = 6*l(t) - u(t). Let g = 20 - 14. Give g*p(x) + 5*f(x).\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:58 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5144, 11246, 19264, 30158, 44888, 64414?\nAnswer: 89696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - j = -36, -m = 3*j - 0*j - 13. Calculate the remainder when m is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10103231 (base 4) to base 3\nAnswer: -220012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23574049?\nAnswer: 23574049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbo when three letters picked without replacement from ykoykfbokbybkybo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 5*d + 2. Let j be z(5). Let g be -3*(j + -2 + -1). Differentiate o**3 - 3*o**g + 2*o**3 + 1 + 5*o**4 with respect to o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 3168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 + 9 - 9.\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3089\/6 + -521. Let w = -109\/18 - p. Suppose -3*t + 8 = -4*u, -2*u - 4 = 4*t - 0*t. Is t bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 3*s**4 - 2*s**2 - 560*s**3 + 558*s**3 + 0*s**2 - 4*s**4 - s - 3 to h*s**4 + g*s**3 + w*s**2 + j + k*s and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 124190 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 5, 3 in descending order.\nAnswer: 219, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288*i**2 + 8*i + 295*i**2 - 47 + 293*i**2 - 227*i**2 + 12 wrt i?\nAnswer: 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-4 - (-8 - -3)) + -11 - 47)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -146205, -146093, -145979, -145863?\n\"Answer: q**2 + 109*q - 146315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 1 = -2*i, -69 = -5*i + 3*g - 77 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(6\/7)*v*v*v*v)\/(v*v\/v**7)*v**(-1)\/v**(-5))\/(v\/v**(-2\/19)*v**(-1\/4))**(-3) assuming v is positive.\nAnswer: v**(8889\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002656 to seven dps.\nAnswer: -0.0000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1013211 (base 5) to base 12\nAnswer: -97a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z**5 - 19\/120*z**6 - 6*z**2 + 0*z**3 + 19\/24*z**4 + 0 + 0*z. What is the second derivative of x(o) wrt o?\nAnswer: -114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**2 - 5*b - 516. Let f(v) = -7*v**2 - 3*v - 344. Determine 5*d(o) - 8*f(o).\nAnswer: o**2 - o + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 776.2 + -769.563. What is j rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2*l - l + 2*l)*(-2*l**2 + 2*l**2 - 2*l**2).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - -1) + (1 - (-9 + -1)) + 234 + -248?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 24. Let c(r) = -r + 9. Let i = 8 - 4. Calculate the remainder when d is divided by c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1225111*s**3 - 30*s**2 + 9896*s.\nAnswer: 7350666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/4 + 7 + -1. Let h(d) = -d**2 - 2 + 3 + s - d**3. Give h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 16*o - 1. Let m be q(-16). Let j be (0\/(m - -3))\/(-2). Suppose j = -0*u - u + 4. Calculate the remainder when 11 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 7*b**4\/24 + 29*b**3\/3 - 2*b**2 + 2*b. Let m be h(-8). Solve x + 17 - m = 5*i, -4*i + 12 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106636816, 106636815, 106636814, 106636813, 106636812, 106636811?\n\"Answer: -f + 106636817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8606*v**2 + 3481*v?\nAnswer: 17212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 3*j**2 + 1. Let v be p(3). Let q = 40 + -4. What is the units digit of v*2*q\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 - 6*n - 3. Let m be s(-5). Let t(y) = 3*y + 6 + 6 - 2*y - 9. Let i be t(-3). Sort m, i, 5 in descending order.\nAnswer: 5, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40086*d - 290 = -40081*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(0 + 0 + 1) + (5 - 6 - 1)*(-1 - 2 + 0) + 3 - 1 + 0)*(3*g**5 + 3*g**5 - 5*g**5 + (-g**2 + 3*g**2 - g**2)*(-3*g**3 + 2*g**3 + 2*g**3)).\nAnswer: 20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 20*k**2. Let a(v) = v + 3. Let i(g) = -10*g - 18. Let j(r) = -6*a(r) - i(r). What is c(j(f))?\nAnswer: 320*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w**3 + 8*w**2 + 8*w + 26. Let q(r) = -4*r**3 - 3*r**2 - 3*r - 9. Let p be 3\/2*(-5 - -7). Let j(s) = p*f(s) + 8*q(s). Differentiate j(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -19. Let k(n) = -n - 39. Determine 5*c(v) - 2*k(v).\nAnswer: 2*v - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484410.\nAnswer: 2, 5, 79, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from mubmbmbbmbbbm.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284206 and 312?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 <= -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1\/4, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12\/111776623?\nAnswer: -12\/111776623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c + 3*c + (0 + 4 + 1)*(4 + 5*c - 5*c + c).\nAnswer: 4*c + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 769 + -289. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28836724879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127cd (base 15) in base 9?\nAnswer: 100114","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 0.5, -76.16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/44 and 19\/1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-20) + (-24)\/(-15). Let m be 7*(-2)\/(-10) - z. Factor 0 + 0*t**2 + 2\/5*t - m*t**3.\nAnswer: -2*t*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, x: 6}. Give prob of sequence aax.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 9. Let v = g + 12.000052. What is v rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1159\/17, -0.1, 5 in descending order.\nAnswer: 5, -0.1, -1159\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 133*n**2 - 133*n**2 - 2*n**3 + (n + 3*n - 2*n)*(-n**2 + 3*n - 3*n) + 4*n**3 - 4*n**3 + 10*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 350184671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:12 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 0.46. Let m = 741\/7 - 106. What is the nearest to 2\/3 in d, 2\/3, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 8*c + 14 to the form z + x*c and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.756 minus 97859?\nAnswer: -97854.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/6061027 and -129\/816850.\nAnswer: 303051350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/3 + 16*r**4\/3 + 211*r**3\/3 - 358*r**2\/3 - 760*r - 576 = 0.\nAnswer: -9, -2, -1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -187688.\nAnswer: -78\/23461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 0. Let v(h) be the second derivative of h**4\/12 + h**3\/2 + 3*h**2\/2 - 7*h. Determine v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 11121022201020?\nAnswer: -11121022201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/(38\/(-665)). Suppose c = -x + 4, 2*c - h = x - 5*x. Solve 5*w = -3*m + 3*w + c, -17 = -m - 4*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 1. Suppose 4*s - s = -2*n + 16, 0 = n - 5. Does 8 divide m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1245)\/2241)\/(-2*(-1)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 3, a: 1, d: 4}. Give prob of sequence sr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-77)\/(-462) - ((-629)\/6 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 51 = 4*p + 3*z, 0 = -2*p - 4*z + 50. Let g = -19 + p. What is the common denominator of g\/4 + (-71)\/3 and -5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 3*s + 1. Let n be a(0). Let z be 2 - 2 - (-4)\/46. Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 153. Which is smaller: t or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(180) + -1)*-1 - -3*(sqrt(500) - 1*sqrt(500))*5)*-3)**2 + -3.\nAnswer: -324*sqrt(5) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/8 + 17*m**3\/3 - 772*m**2. Give w(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssessessse. What is prob of picking 1 e and 2 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r + 68. Let a be w(5). Let f = -52 + 14. Let j be a + -1 + f\/(-10). Put j, -0.4, -2 in descending order.\nAnswer: j, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14831*l**2 - 80*l + 72*l - 29*l.\nAnswer: 14831*l**2 - 37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243530 + -3?\nAnswer: -243533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15111241 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - j + 23 - 16, -3*x - j - 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1585798 is divided by 647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -155302*5\nAnswer: -776510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612739 + 1159538 = 39*h. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 15*d**2 + 52*d - 18. Calculate w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*f = f - 5, 5*f = -3*g - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(1\/(-2)*4). Let q(m) be the second derivative of -1\/4*m**4 + 3\/2*m**2 + 0 + 4*m + 0*m**r. What is the first derivative of q(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1556 and 0.45.\nAnswer: 700.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -22243130244?\nAnswer: 22243130244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 3*m - 27, -5*m = -5*i - 5. Solve -i = -4*g - j, 2*g - 5 = -3*g + 2*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(6 + (-51)\/9). Suppose 0 = 2*o - 3 - 5, -2*k + 3*o + 298 = f. Calculate the highest common divisor of 124 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.02 - 8.05. Let o = y + 6.93. Sort -9, o, -3\/7 in decreasing order.\nAnswer: o, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18762 - 9382 - 9380 - 25*l**2. Let n(k) = 18*k**2. Determine c(n(s)).\nAnswer: -8100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2221343 + -4?\nAnswer: -2221402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccs when three letters picked without replacement from bbccbcbbcscsbcbbcb?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 443 - 126. Which is bigger: -3\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*g + 12 = 0, 0 = 3*t - 5*g + 3*g - 12. Suppose -3*a - 2*a = -15, 17580 = -4*j + t*a. Let v be (125\/(-3))\/(3\/j). Round v to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1011111?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/21*21\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4*36\/(-480).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12183289*o**3 - 4*o**2 - 132131775*o wrt o?\nAnswer: 73099734*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -15 + 0 - 62\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 298, 626, 994, 1420, 1922, 2518, 3226?\n\"Answer: 3*v**3 + 2*v**2 + 301*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and 0.05?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0419637 milligrams to nanograms.\nAnswer: 41963.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 7. Let m be u(10). Suppose -h = m*h. Suppose h = a - 4*a. Solve a = -q - 2 + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 218616504.\nAnswer: 874466016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*o - 7766934 = 168283066. Round o to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253135225 (base 6) in base 14?\nAnswer: -91bda9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 545*c**3 + 20*c**2 + 7*c. Let y(d) = 273*d**3 + 12*d**2 + 4*d. Determine -4*a(p) + 7*y(p).\nAnswer: -269*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -45*t**3 + t**2 - 14*t + 481. Is g(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40670.1 days in minutes?\nAnswer: 58564944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 2*d + 16*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*h - 28*h + 35*h + 124*h.\nAnswer: 205*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004322094.\nAnswer: 2, 23, 67, 229, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*(sqrt(468)*1 + sqrt(468)) + sqrt(468) + 2 + sqrt(468) + 1 + 1*(sqrt(468) + sqrt(468) + -1) + 5)*-3)**2.\nAnswer: 30240*sqrt(13) + 1686564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1946 and -0.1?\nAnswer: 1946.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose -g = -5*l + g + 42, -w*g + 21 = 3*l. Calculate the remainder when 15 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5434 - 125?\nAnswer: 5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58538 is divided by 4826.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/30 + (-36)\/(-27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 r when three letters picked without replacement from hsshhshrsh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16340*o. Let k(q) = -15*q**2. Give p(k(t)).\nAnswer: -245100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 500, 1010, 1520, 2030, 2540, 3050?\n\"Answer: 510*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 18*q**2 - 13. Let h be c(9). Let j(i) = -7*i**2 + 2*i - 15. Let m(w) = -15*w**2 + 3*w - 31. Let f(k) = h*j(k) + 6*m(k). Calculate f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 13*c + 75 = 0. Let h = 24 - c. Let b be (2 + h)*-3 + (-154)\/(-55). Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14927 or -14953?\nAnswer: -14953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*6.2.\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27394.\nAnswer: 2, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.88998363 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-25 - 9) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135598 times -3?\nAnswer: -0.0406794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3794 is divided by 1888?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 20 (c) -10\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - m = 1 + 4, 0 = -5*m - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2460 divided by 15.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {z: 1, c: 6, t: 4, q: 6, v: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7498762 is divided by 1274?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1313 + -1318. Which is the nearest to 1? (a) -4 (b) k (c) -2\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 11*h + 17. Let s be 4 - 1\/((-1956)\/488 + 4). Let g = s - 118. Give k(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 6. Suppose -o*k + 162 = -4*y, 4*y - 11 = 5. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.02\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9605661\/275 - 890877\/50. Let w = -17115 + y. Find the common denominator of -77\/20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4655722 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 2*d**3 + 2*d**4 - 14 - 4 - d**2 as k*d + r*d**4 + i + c*d**2 + v*d**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6855?\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2742 + 2745. Suppose 0*u = -u - 8. Let z be u\/24*(-3)\/(-2). What is the second smallest value in -0.2, d, 0.4, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.12 (b) 28 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108309*t + 20195*t - 205 + 104 + 101.\nAnswer: 128504*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2837 (base 9) to base 10.\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:46 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 9*n - 7. Let s be w(7). Suppose 2*a = s*a. Solve -t = -a*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/(-5) + 16\/(-4) and -1 + (135\/46)\/(-9)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 607*o**3 - 2*o + 9. Is d(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18705 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*9*-1. Suppose -15 = -a*b - 0*b. Solve -b*p - 6 = -21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-312*x + x**2 + 163*x - 3*x**3 + 159*x)*(-x**2 - x**2 + 0*x**2).\nAnswer: 6*x**5 - 2*x**4 - 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/1260 - r**5\/70 + 2*r**4\/21 - 28*r**3\/3 + 95*r**2. Let b(u) be the first derivative of o(u). What is f in b(f) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 5, 3*g - 3*t = 636. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**3 + 0*q**3 + 2*q**3)*(584 + 950 + 159) in the form g*q**3 + r + v*q**2 + c*q and give g.\nAnswer: -1693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 19*r**3\/6 - 3*r**2\/2 + 5241*r. Let j(w) = 18*w**2. Calculate d(j(q)).\nAnswer: 342*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12410130 (base 5) to base 10.\nAnswer: -122540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4266, -32028, -1 in increasing order.\nAnswer: -32028, -4266, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 84 + 56 - 5*v**2 - 140.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (6 - (-1008)\/(-120))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - h**2 - h**3 + h**2 - 2*h**2 + (-4*h - 3*h**2 + 4*h)*(-32 - 31*h + 32).\nAnswer: 92*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55542*w**3 + 1000*w + 7 wrt w?\nAnswer: -333252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 - f. Let x = -5 - -5. Let q = x + 2. Suppose 0 = q*i + i. Calculate n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 130*b**2 - 2*b + 2. Let t be d(1). Let z = t + -100. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12.1. What is the closest to m in -1\/4, 0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*m + 96 = -371*m. Suppose 18 = -m*d + 54*d. Solve 0 = -4*t - 0*h - h + 13, d*t = -2*h + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 791261663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k + 3*q - 527, k - 511 = q. Let u = k + -317. What is the highest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 6067 - 6187 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j + 46. Calculate k(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 444 = -2*d. Let h = 335\/3 - d. Solve -h*f**2 + 2\/3*f**3 + 0*f + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y - 1880978 = 558774. List the prime factors of y.\nAnswer: 2, 7, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179\/2 + -89. Let z(v) be the second derivative of 1\/5*v**6 + 0 - 6*v + 0*v**2 + 0*v**3 - q*v**4 + 0*v**5. Find the third derivative of z(o) wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43225, -86454, -129683, -172912?\n\"Answer: -43229*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27315 - -38728. What are the prime factors of q?\nAnswer: 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43413 divided by 2?\nAnswer: 43413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240027*s**3 + 0*s + 0*s - 240000*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 203 + 201 + 2*f - 8*f**3 to i*f + t*f**2 + r*f**3 + a and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 890490869*p**2 + 66*p - 134563 wrt p?\nAnswer: 1780981738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + 13.12. Let k = 13.7 - n. Let r = 1 - k. Which is the second smallest value? (a) r (b) 0.1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 4\/25, 10\/3, 2, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 3 = 17*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 10*s + 3. Let r be g(10). Let y = -1 + r. Solve -w - 3 = y*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/12 + 17*p**3\/6 + p**2\/2 + 25*p. Let d be i(-17). Let r(a) = -6*a**2 - a + 1. Determine r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6257 - -6257. Which is the nearest to -3? (a) -0.01 (b) m (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630\/35 - -6*(-6)\/126.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + -168. Suppose r + 488 = 6*x. Let q = x - 81. Solve -4*y - 3*h + 28 = 0, 4*h - q = y - 0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 13 (b) -155 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alw when three letters picked without replacement from wlnwagggwwwlnw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-2)*(-4 + 2). Let t = f - -18. Suppose -4*q + 22 = 2*y, -5*y + 4*q + 115 = 2*q. Calculate the greatest common factor of t and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 78\/11, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -2 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11666 + -1271580\/109. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1731\/2 + 864. Which is the third biggest value? (a) 4\/7 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 + 2*x**4 + 4*x + 4*x**5 + x**4 wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/((-2499)\/(-306))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 - s**3)*(-36*s**2 + 197*s**2 - 13*s**2) - s**5 - s**4 + s**4.\nAnswer: -149*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135397868.\nAnswer: 2, 29, 463, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 463597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 5472?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 201881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -5*l + 1. Let v(y) = 1. Let b be (-36)\/42*(-21)\/(-3). Let t(q) = b*v(q) - g(q). Let p(u) = u + 1. Calculate -2*p(m) - t(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26911 in 0.6, -4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11111000000011 (base 2) to base 10\nAnswer: -15875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32598950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 34088 + 102268 - 34093 - 34087.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m*(m**(-16)*m)\/m)**(-45) assuming m is positive.\nAnswer: m**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 - o**2 + 0*o**2 - 8*o)*(8*o**2 - o**2 + 4*o - 7*o) to the form w + n*o + a*o**2 + p*o**3 + f*o**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, l: 1, q: 1, e: 1}. Give prob of sequence ql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1146 = -3779. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40057 + 45522. Sort -5, u, 1 in decreasing order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7651630550 and 0.064.\nAnswer: -7651630549.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*s + 2038 - 2050, 4*s + 5*c = -23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {e: 2, z: 3, x: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1807*d**2 + d**3 + 1832*d**2 + 4*d - 9 - 3*d**3 to the form h*d**2 + b + j*d**3 + g*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -1264, -4270, -10122, -19768, -34156?\nAnswer: -54234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 1. Let i(m) = 31*m**3 - 24*m**2 + 8*m + 41. Let l(n) = -10*n**3 + 9*n**2 - 3*n - 14. Let k(r) = 3*i(r) + 8*l(r). Calculate -66*g(f) - 6*k(f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59199206?\nAnswer: 2, 11, 647, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398177 is divided by 2865.\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(16 + 20 + 9 - 57425*i + 19684*i - 45) to n*i + m and give n.\nAnswer: -75482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-12))\/(-3 + (-125)\/(-40)). Let b be s*(9\/6 + -5). Let y be ((-3)\/(-3))\/(2\/98). What is the greatest common divisor of b and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*q + 4*v, -3172*q + 2*v + 21 = -3167*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a + 55. What is the smallest common multiple of o(-3) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 1. Let r = -42 - -75. Let k = r + x. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 10*p**3 + 11*p**3.\nAnswer: 21*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 56. Let h = t - -32.695. Let i = 0.3 + h. Round i to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1497, 1253, 1025, 819, 641, 497, 393?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 + 2*o**2 + 2. Let z be p(2). Does 7 divide (-175)\/z + (-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(4))\/sqrt(3) + 0)**2*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5478 + 5477.9. Is 2\/863 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -4. Let c = -2.5 - m. Let p = -0.033 - 1.967. What is the third biggest value in 2, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 116382093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + (-96512)\/(-80). What is the common denominator of (a\/276)\/(-3 - -12) and 151\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7920787.5 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6*1\/(-3))\/(-9)*(-30)\/(-20)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2390379 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -2 - 1 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - -14 - (-10 - -28)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*u - 14, r - 6 = 6*r + 4*u. Let z be r\/4 - 15\/(-6). Solve -3*i - 11 = -2*q, z*i + q = -0*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:30 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -137, -187, -219, -227, -205, -147, -47?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2061 - 10304\/5. Which is the fourth smallest value? (a) -3 (b) -2 (c) -2\/3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*72\/(-1980)*11\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11020 - -1?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 i, and 1 j when four letters picked without replacement from {i: 3, g: 5, n: 5, u: 4, j: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.1753 (c) 383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*j - 15 = 2*f, 15 = -5*j. Suppose -3*x = -f*x - 6. What is n in 5*n**2 - 2*n**2 - 3 + n - 4*n**x + 5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 875.01593 + -875. Round m to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*n - n - n)*(2 - 5 - 2) + 3*n - n - n - n + 3 - 3 - 3*n + 3*n + n + (-1 - 2 + 5)*(2*n - 6*n + 2*n))*(3*n**2 - 2*n**2 - 2*n**2).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:58 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x. Let p be ((-10)\/(-4) - 1)\/((-18)\/(-24)). Let r(f) = -7*f**2 + 16*f**2 + 9*f**p. Calculate r(v(z)).\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 12*k - 1748 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/4))**(1\/3)\/((v\/(v**(5\/4)*v))\/(v**(-6)*v)) assuming v is positive.\nAnswer: v**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29997208091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 37*i + 35. Let p be a(30). Let h = -144 - p. What is the remainder when 110 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206403 divided by 321?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - -4) + (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*o + 1. Suppose 16 = o*k - 2*k. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2 + 247327464*q + 7646359306083912 = 0.\nAnswer: -61831866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5737 - 5737 - 592*i + 58*i)*(-2*i + i - 4*i)*(-5 + 2 + 6) in the form l*i**2 + o + r*i and give l.\nAnswer: 8010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 15) in base 4?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -8*t**7\/7 + t**3\/3 + 10. Find the third derivative of q(j) wrt j.\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, 197, -4, 4?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 4*z + 8. Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4*-2)\/(22\/(-1302343 - 13)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191504 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and 232.\nAnswer: 231.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, f: 13}. What is prob of sequence ffg?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 + 198. Suppose 0 = -g*r + i + 193, 3*i - 189 = -7*r + 3*r. Let w(z) = -16*z**3 + z**2 - 1. Calculate the least common multiple of w(-1) and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1063648590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416985662 - 833971323 - 5*u + 416985661.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*o - 6)*(o**2 - o**2 + o**2) + 5*o**3 - 5*o**3 - 2*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*v + 7*v, 0 = -y + v - 217. Let b = y + 358. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -17. Suppose -4*d - 38 = 10. Let t = d - v. Put t, -2, -5 in descending order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/9 + (-2)\/9*-3. Is (2*1244\/q)\/(1\/2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 27. Let f be (10\/(-20))\/(z\/252). Suppose -f = -11*t + 9*t. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i + 0*i + 2 - 2 - 118*i**2.\nAnswer: -118*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4211 (base 9) to base 2\nAnswer: 110000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1686, -1695, -1710, -1731, -1758, -1791, -1830?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -103 (b) -0.4 (c) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 5828 - 12*p**3 - 15*p**3 + 5605.\nAnswer: -29*p**3 + 11433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 8:40 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 43296*x + 198345790.\nAnswer: 2*(x + 6583)*(x + 15065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22008928*u**6 + 1610*u**2 - 15*u + 91 wrt u.\nAnswer: -2641071360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*p = -0*d + 7, 0 = -5*d + 2*p - 71. Let r(o) = 2*o**2 - o**2 - 3 + 0*o**2 + 11*o. What is the tens digit of r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 14*m + 31. Let t be i(11). Sort -3, t, 4, 5.\nAnswer: -3, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. What is the fourth biggest value in -1, 18, -2\/5, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -852708 divided by 4?\nAnswer: -213177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -535985 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let v be 257\/7 - (-8)\/28. Let h = 109\/3 - v. What is the nearest to h in 0.1, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885200851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-7))\/2)\/(6\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122, 109, 96, 83, 70, 57?\n\"Answer: -13*n + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*c - 112 = -716*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (5 + sqrt(567)*2)*-2)**2*-6.\nAnswer: 12960*sqrt(7) + 273240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 1. Let p(d) = -2*d + 6. Calculate -5*m(b) - p(b).\nAnswer: 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = -5*u, -5*u = -0*u + 3*t - 10. Suppose a + 3 = -u*a. Is (3\/((-3)\/10))\/a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*u + 4*j, 3*j = 2*u - 12 - 9. Suppose 4*a - 43 = 17. Let d = a + -10. What is the remainder when u is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -878981, -878980, -878979, -878978, -878977?\n\"Answer: m - 878982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-80))\/(((-16)\/15)\/4)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -25, -1\/2, -4, -1, 0 in ascending order.\nAnswer: -25, -4, -1, -1\/2, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1220, 2430, 3640, 4850, 6060, 7270?\n\"Answer: 1210*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(245))**2 - sqrt(5)) + -2*sqrt(5)*5.\nAnswer: -11*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 24 - 5*b**2 + 4*b**2 + b**2. Suppose r = -r. Is c(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 k, and 1 d when four letters picked without replacement from {k: 5, d: 9, v: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3853?\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**2 - 2*a + 4. Let t(y) = y - 1. Give -h(j) - 5*t(j).\nAnswer: -9*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbu when three letters picked without replacement from xuxubuxbxbbuux?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -2*g - 9*c, 6*c = -5*g + g - 104 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/33*(-4)\/(-30)*354\/236.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6 - 14 - 28 + 3*d. Let o(a) = 2*a - 1. Let y(k) = f(k) - 4*o(k). Find the first derivative of y(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2327331 to the nearest 10000.\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(45))\/(sqrt(5) - (sqrt(55)\/(sqrt(11)*-2) - sqrt(5))))**2.\nAnswer: 8\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 5*c**4\/12 + c**3\/2 - c**2 + 13*c - 17. Let n(b) be the first derivative of h(b). List the prime factors of n(5).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 31. Let b(r) = -r + 15. Let s(t) = 9*b(t) - 4*g(t). Let w be s(5). Let l = 53 + w. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -837 (base 15) to base 9.\nAnswer: -2477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -24752 - 3*l**2 + 24752. Let f = 77 + -38. Let t(o) = -f*o - 48*o + 75*o. What is w(t(p))?\nAnswer: -432*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 12*i - 1. Let v be w(4). Put -5, 1, v in decreasing order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d**6 + 0*d**4 + 0*d**3 + 0*d + 2\/45*d**5 - 1\/315*d**7 + 11*d**2 + 0. Factor l(g).\nAnswer: -2*g**2*(g - 2)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2. Let q(o) = 121*o**3 + 7*o**2 + 12. Determine -5*i(z) + q(z).\nAnswer: 121*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -7*o + 108. Solve 6*p = -6 + o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170748, -682972, -1536660, -2731806, -4268404?\nAnswer: -6146448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45981 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14124 + -56403\/4. What is the common denominator of (-10)\/728*(-2 - 28) and n?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*f**4\/9 + 2920*f**3\/9 + 1364*f**2\/9 - 592*f\/9 - 80\/3 = 0 for f.\nAnswer: -2\/5, 5\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**3 + 4*i**2 - 13*i - 141. What are the prime factors of f(-10)?\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 4 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240926 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -320188579726.\nAnswer: -320188579726.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21343 + 5255?\nAnswer: -12044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/47 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5159740 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v - 13 + 13)*(-2 + 0 + 4)*(-v - 2*v + v) - v**2 + v**2 + v**2 to the form a*v**2 + h + w*v and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/24 and 143\/2172.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*1*5)\/(sqrt(24)\/sqrt(4)*6) + -5*1*sqrt(1088)*-1.\nAnswer: 245*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5361222, 21444892, 48251010, 85779576?\nAnswer: 134030590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbpkbkkbp. Give prob of sequence pkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1075682*y**3 - 2151455*y**3 + 1075696*y**3.\nAnswer: -77*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9 + -4. Let x = t - -0.5. Let f = -3466 + 3463. Put -0.3, x, f in increasing order.\nAnswer: f, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14*k**2 - 3*k + 4. Let x(q) = 27*q**2 + 5*q - 7. Let g(i) = 5*n(i) + 3*x(i). Let j be g(1). What is the greatest common factor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/24 and 25\/1023.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**3 + 113*o - 164*o**2 + 775*o**2 - 611*o**2 to the form j + d*o + q*o**2 + m*o**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1756 (b) 1\/2 (c) 1\/3 (d) 0 (e) 1 (f) 0.17 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 4. Let n = 141 - -7. Calculate the least common multiple of p(2) and n.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227342\/81 - -2807. What is the common denominator of y and -50\/3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:44 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247351.\nAnswer: 13, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 460 or -56?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let m(l) be the third derivative of -l**4\/24 + 2*l**3\/3 + 2*l**2. What is the units digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:38 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/6 - 439777*p**3\/6 - 78256543*p**2\/6 - 1160687893*p\/2 = 0.\nAnswer: -439599, -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - -5682.067779.\nAnswer: 5690.067779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14211201 (base 6) in base 14?\nAnswer: c83bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -273*g**5\/10 + 58*g**4 + g**3\/3 - 127*g. What is the third derivative of w(n) wrt n?\nAnswer: -3276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (85\/10 - 1)\/((-3)\/(-102)). Calculate the common denominator of 511\/(-72) - 2\/(-9) and d\/(-10) + (3 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 4*v**2 - 3*v**2 + 4*v**2 - 5*v**2 - v**2 + (4*v + v - 3*v)*(-3 + 2*v + 3) + (v - 6 + 6)*(-6*v + 2*v + 3*v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (12 + -34) - (8 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-4))\/((-7)\/21) + 2014297\/(-1). Round q to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59313 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17110598179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 10*k + 24. Let d be f(-28). Suppose 2300 = 14*v - d. What are the prime factors of v?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 54 = -20. What is the common denominator of -59\/7 and (o - 118\/60)\/(12\/730)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000246795 rounded to seven decimal places?\nAnswer: -0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*l - 7201 - 2751 + 1905 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 9*l - 5. Let v be h(-7). Suppose 4*p = p + v. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20761047 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + o - 13. Let v be -4 - ((-2)\/(-6) - 247\/57). Give n(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18*((-114)\/36 + 3\/2). Suppose p*t - 57133461 - 1546539 = 0. What is t rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*m - 35, 3*j + 27*m = 24*m + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 77795\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 + -203.41. Let i = x + -0.59. What is the nearest to -3 in 0.5, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.055\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 342257297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 56.8. Which is the third biggest value? (a) j (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**7\/210 - z**6\/12 + 13*z**5\/60 + 5*z**4\/2 + 6*z**3 - 166*z**2. Factor g(q).\nAnswer: (q - 6)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -29, -2, -2\/9, 0.1, 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410 = 8*p - 1602 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 47. Differentiate -4*o**p + 25*o**2 - 5*o**2 + 1 with respect to o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013901?\nAnswer: 3, 7, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqf when three letters picked without replacement from qqffffq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 4 (c) 1.4 (d) 744\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let k(j) = 2*j**2 - 5*j + 2. Let n be k(t). Suppose -3*o + 1 = -n. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-8938*z - 5321*z - 3437*z) to the form n + p*z and give p.\nAnswer: 35392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2*g**3\/3 - 140*g**2 - 9800*g - 165. Suppose u(m) = 0. What is m?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-21) - 4\/14. Let w be 80\/h*2\/2. Let u = w + 239. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/12 + 47*o**2. Let i(a) = -4*a + 5. Calculate i(l(y)).\nAnswer: 8*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.8. Let z = 0 - 0.2. Let q = z - w. Is q at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.53551l to millilitres.\nAnswer: 6535.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 490\/((-28)\/(-16)*10)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/61, 20\/11, -3, 4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -62*r + 7. Let n(q) = -1. Determine i(a) + 6*n(a).\nAnswer: -62*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -360 + 365. Let o(g) = 5*g + 1. Let v(t) = 10*t + 7. Let j(w) = 5*w + 3. Let k(x) = 5*j(x) - 2*v(x). Let p(q) = y*k(q) - 4*o(q). Calculate p(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.4, 2\/11, -0.12 in increasing order.\nAnswer: -1.4, -0.12, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 + 5. Let t(y) = -6*y - 86. Let v be t(-15). Solve -u + v*n = -n - 24, g*u - n = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -761.3 - -740.745. Let d = -20.6 - i. Round d to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**9*t)**(-19)\/(t**(-3))**20 assuming t is positive.\nAnswer: t**193","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011292043 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 24. Let k(w) = -w**3 - w**2 + 5*w - 27. Let r(j) = -3. Let a(x) = u*r(x) - 3*k(x). Factor a(m).\nAnswer: 3*(m - 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706112 a multiple of 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -42239?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60260 and 15458.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 - 24 = 4*k, 10 = -2*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrsk when four letters picked without replacement from {s: 4, k: 1, r: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433 take away -0.3?\nAnswer: -2432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386 and 21400226.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -289 + 289 + 21*k + (82*k - 2*k - 44*k)*(-4 + 4 + 2).\nAnswer: 93*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + (-129633)\/2646 + 4\/(-18).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 9*b**2 + 11*b - 18. Let y be j(-7). Suppose -a - 3*m = -5941, -17823 = -3*a + y*m - 7*m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 101 = -5*y, 2*m + 131 = 7*m + y. Suppose -x = -j - 24, -x + 0*x + 2*j + m = 0. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*w - d**2 - 96525*d*w + 2*w + 1006641 wrt d.\nAnswer: 2*d*w - 2*d - 96525*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let k = 103913 + -103908. Put k, w, 26 in decreasing order.\nAnswer: 26, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 - (14 - 9 - 5). Let p be 26\/(-36) - (-1)\/2. What is the second smallest value in 3, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.4 + 24.8. Which is the closest to 4? (a) -5 (b) o (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 207*u**2 - 2337*u - 38. Calculate r(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t - 15. Give w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 - 0.31. Which is the closest to 0.3? (a) -3\/7 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295491 a multiple of 1861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8952, -63390, -1 in decreasing order.\nAnswer: 8952, -1, -63390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 19*o + 70. Let s be w(-12). Let z be (s - -7) + 22 + 1*4. Which is smaller: z or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 722560 divided by 4\nAnswer: 180640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.832513 times 1?\nAnswer: 3.832513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*x - z, -3*x = x - 5*z. Suppose 0 = -y + x. Suppose 46 = 3*g + l + 29, 0 = -2*g - 5*l + 33. Solve 3*m + g = -s, -2*s = -y*m - 3*s - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15307602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -55, -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 5. Let j(l) = l + 4. Let c = 48 - 50. Let b be j(c). Sort s, 2\/7, b.\nAnswer: 2\/7, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*d = -156*d + 336. What is the greatest common factor of d and 1456?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cucc when four letters picked without replacement from xcccxucccccuxcccuu?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35*-0.1\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19523719*b**2 + 39047447*b**2 - 19523719*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 1067\/(-13212) - 29*(-50)\/26100.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c - 20, 5*u = 6*c + 112535. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 31 = 4*w, 5*w + 15 = -7*x + 6*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216171 + -151171. Round j to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -79, -114?\n\"Answer: -35*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -430\nAnswer: -430.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 893, 15470, 39765, 73778, 117509, 170958?\n\"Answer: 4859*k**2 - 3966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + -4)**2*6*5.\nAnswer: -180*sqrt(17) + 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/84)\/((-4)\/(-12))*(4 - 22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3324 by 6.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 5\/6*r**3 - 4*r + 15\/2*r**2 + 0. Let w(b) = -25*b + 1144. Let q be w(46). Let n(i) = -3*i - 8. Determine q*z(y) - 11*n(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -47. Put -0.3, 5, m in descending order.\nAnswer: 5, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66834317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 8, 3, 5, -2, -16 in decreasing order.\nAnswer: 8, 5, 3, 2, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/144*2*8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -3.04. Let u = s - -8. Which is the biggest value? (a) u (b) -4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6938, 13925, 20924, 27941, 34982, 42053, 49160?\n\"Answer: h**3 + 6980*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose -25 = -5*s + l*z, 2*s + 2*s - z = 14. Solve 0 = 2*x - 3*v + 5, 3*x - 2*v = -v + s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26039001 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let q be y + (-1)\/(2\/(-8)). Let f(u) = -11*u**2 + 0*u + 6 - 22*u**2 + 31*u**2 + u - 4. Give f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99314 times -0.0273?\nAnswer: 2711.2722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54927 - -10f?\nAnswer: -54818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1706946 (base 14) to base 5.\nAnswer: 10344000334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 4*b + 18. Let q be l(0). Let c = q - 18. Solve c = -5*f + 33 - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880433 is divided by 7979.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4\/5*w**4 + 103492\/5*w**2 + 1256\/5*w**3 + 1498176\/5 + 768672\/5*w = 0.\nAnswer: -153, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -9 - 2 - (2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -17*u**3 + 5*u**2 - 4*u - 7. Let t(b) = -17*b**3 + 6*b**2 - 5*b - 8. Let j(d) = -6*a(d) + 5*t(d). List the prime factors of j(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 - 3*r**2 + 5*r + 5. What is g(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and -710.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 22*c**2 - c - 10. Let i be w(-22). Suppose -i*x = 6*x - 36. Solve -5*l - 23 = x*j, -2*j - 2*j - l - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*p - 1268*p - 24276 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*v**2 + 94 - 94)*(3*v - 4*v + 2*v)*(2 + 2 - 3).\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 14.53. Let l = r - -13.17. Let d = 0.992 + l. Round d to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - (5 - (19 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3379*s + 1516*s + 217117 = -27633 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -801*t**5 - 265*t**3 + 38269*t**2 + 2*t - 3.\nAnswer: -48060*t**2 - 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4970336159?\nAnswer: 43, 449, 257437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(-4 + sqrt(363))*4.\nAnswer: -80 + 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 + 6*p**2 - 7. Suppose 2 = 5*i - 4*n, -28*i = -32*i - 3*n + 45. Let g(q) = -11*q**2 + 10 - 2*q**3 - 5*q**3 + 3. Give i*g(m) + 11*f(m).\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.247 - -0.07\nAnswer: -1.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 58. Suppose -n*u + 2*o = -5294, -2649 = u - 2*u + 2*o. Suppose -3*l = -2*x + 182 + u, 0 = -l + 3. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 650*g - 6. Suppose 68*r - 1 = 67*r. What is the tens digit of o(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6714 + 2513. What are the prime factors of p?\nAnswer: 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 - 2)*(-7*j - 12*j - j).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Suppose -2*j + 6*j - 60 = -k*q, -4*j + 2*q + 42 = 0. Calculate the remainder when (-12)\/(-8)*14 - -2 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.44 - 0.56. Let m = s + 6. What is the third smallest value in -7\/4, m, -5?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*b - 2*b + 5*m, -5*b + 218 = 2*m. Let n be (-5 - (-177)\/b) + (-2)\/(-4). Put n, 1, -2\/19, -0.1 in ascending order.\nAnswer: n, -2\/19, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 10*y**2.\nAnswer: -y**2*(y + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310 - 224. Suppose 2*q - 12*t + 11*t - h = 0, -5*q = -2*t - 215. Calculate the remainder when q is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1444\/5*n + 77\/5*n**3 + 1\/5*n**4 + 304*n**2 + 0.\nAnswer: n*(n + 1)*(n + 38)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*y**2 + 96*y**2 + 112*y**2 - 413 + 413.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95 + 95 - 18*m**5 + (-m**4 + 3*m**4 - m**4)*(-53 + 3*m + 53)*(3 - 2 - 3)*(-5 + 0 + 3).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*g + 346 = 0, 163 = 3*d + 2*g - 51. What is the smallest common multiple of 16 and d?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*w**2 + 43153404*w + 4750551726498.\nAnswer: 2*(7*w + 1541193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000134646 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19985.\nAnswer: 5, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46254 by -39.\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -2\/11 (c) -0.7 (d) 10 (e) -0.06 (f) -259\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8261 is divided by 1202?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -876*z + 876*z - 168*z**2 + (-3*z + 0*z + 4*z)*(-2*z - 11*z - 2*z).\nAnswer: -183*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 12. Let m be p(-3). Factor 6*z**3 - 2*z + 20 + 42*z + 8*z**3 - 24*z**3 - 5*z**4 + m*z**2.\nAnswer: -5*(z - 2)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/(-30) + 2 + -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*3*-3. Let g(y) = t*y**2 - 3*y**2 - 4*y**2. Let f(k) = 6*k**2 - 4*k**2 - k**2. Determine f(g(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 106*s**2 - 841*s - 1674. Determine v(-2).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16945666+1692591\nAnswer: 18638257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 45*o + 27. Let h be y(-12). Let f(c) = 5*c + 5. Let i(g) = -g - 1. Calculate h*i(z) - 2*f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 31. Suppose 0 = 3*j + s - 0*s - 47, -4*s = -2*j + 36. Let w = j - n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 276257736 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2 + 4 + -1). Let s = -123 + 122.47. Let f = s - -0.03. What is the biggest value in f, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/45 - (-188)\/60. Suppose -2*u + q = -7. What is the greatest common divisor of u and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5375 and 86\/375.\nAnswer: 16125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16693576 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:06 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1482852 divided by 211836\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 + 5*z**3 + 5*z**3 + 10*z**3 + z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 95315681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhqmkhw. What is prob of sequence qmhw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.4744 nanograms to tonnes.\nAnswer: 0.0000000000000204744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 291?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 466*b**3 + 14*b**2 - 79*b + 309. What is the thousands digit of p(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101928 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(156))\/sqrt(12) - -1*(1*sqrt(65))\/sqrt(5))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.84 + 53. Let v = u + -0.1601262. Round v to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -72.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -l. Suppose 608 = 5*i - 92. Suppose 3*p - 3*a = 105, 0 = -l*p - 2*a - 0*a + i. What is the highest common divisor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -301*o - 1. Is u(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805146876?\nAnswer: 2, 3, 347, 64453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:09 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34109 is divided by 411.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 24*z + 7. Let a be i(-3). Let q = 75 + a. Suppose 29*t = 28*t + q. Solve -t = -n - n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625*z - 618*z - 3115 = 0. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 6\/11 (c) 5 (d) 20 (e) 2 (f) -2\/21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4153 is divided by 653?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 + 117. What is the nearest to 1 in -28\/3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j, -5*j + 28 = 5*v + 18. Suppose 3*t - 13 = 5*o, -3*o = -t + 1 - 2. Solve -t + v = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c - 3. Let k(v) = -5*v + 69. Let g be k(11). Suppose -g = -5*w + 1. Let i(b) = b - 1. What is w*i(u) - z(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 1 + 1)*(140 - 256 - 181)*(3 + 0 - 7)*(-1 + 2 - 3)*(0 + 1 + 0) in the form i + q*n and give q.\nAnswer: -2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/7))\/z*z)**(2\/15))**27*((z*z**(-2\/13))\/z**(1\/3))\/(z**(-4)\/z*z**(-2\/3)) assuming z is positive.\nAnswer: z**(14753\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -5. Let z = 10 - l. Let d be 15\/z + 5\/((-30)\/(-9)). Solve -d*x = -x + 4*g + 1, x - 13 = 2*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 2*b)*(2*b - b - 3*b) + (-2 - 5 + 2)*((0 + 0 + 3*b)*(0 + 0 + 2*b) + 3*b**2 - 4*b**2 + 0*b**2).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*l - 32, -4*l + 2*b + 26 = l. Let r(z) be the third derivative of 0*z - 1\/25*z**5 + 0 - 1\/30*z**l - z**2 - 3\/200*z**6 + 0*z**3. Factor r(h).\nAnswer: -h*(3*h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665409509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (276\/184)\/((-6)\/20). What is the biggest value in -552, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723135 minus 1117692?\nAnswer: -394557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132.5 - -133. Let m be 2\/7 + 22\/70. Suppose 0*x = -5*x - 25. What is the nearest to m in p, x, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -7*s**6\/30 + 4*s**5\/5 - 11*s**4\/12 + s**3\/3 - 6*s. Factor x(d).\nAnswer: -d*(d - 1)**2*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21000 + -302122110?\nAnswer: -302101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.51 plus -0.0094223?\nAnswer: -8.5194223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + 6*h**4 - 3*h**4 + (3*h**2 - 5*h**2 + 5*h**2)*(-5*h**2 + 14*h**2 + h**2).\nAnswer: 29*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.66 - -5.76. Sort 1\/3, b, -4, -5 in increasing order.\nAnswer: -5, -4, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/15)\/((-1)\/(-12)). Suppose k + 10890 = b*i, -5*k = 4*i - 0*i - 10878. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**5)\/n)*(n*n\/((n*n\/n**(-3)*n)\/n))\/n*n\/(n\/((n\/n**4*n)\/n))*n*n**(2\/3))**9)**(-4) assuming n is positive.\nAnswer: n**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4a00773 (base 11) to base 9.\nAnswer: -17325870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 641063952 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -58*d - 878. Calculate the remainder when s(-20) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -23102?\nAnswer: -23103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, x: 3, n: 5}. Give prob of picking 3 k.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564067.\nAnswer: 13, 17, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0334, 205, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 4) to base 13\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (396\/42)\/(2\/14). Suppose 6*f - o = 3*f. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - (0 + -3)\/3. Suppose 4*i - 6 = 4*d + 2, -5*i + q = 4*d. Is 1.7 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3609 (base 16) to base 5.\nAnswer: 420313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.289 + -14.989. Let c = 15 + i. What is the second biggest value in -5, c, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -74168.\nAnswer: -3\/74168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/9 + (-166)\/(-6). Let a be (44\/16)\/(7\/k). Solve 0 = 4*q + 27 - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14483 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 15\/8 (c) 0.6 (d) -2\/43 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 71 = -14*u - 2*u + 47, -3*u + 91 = -69*o + 65*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 351*q**2 + 39. Let g(j) = 44*j**2 + 5. Let b = -16907 - -16912. What is b*c(p) - 39*g(p)?\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4886*t**2 + 105514 - 105514.\nAnswer: -4886*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = 0. Suppose y + 18 = 3*a. Calculate the least common multiple of a and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i + 17*i**3 + 0*i + 1. What is the remainder when j(1) is divided by -3 + (-14)\/((-42)\/33) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 43*w**2 + 31*w - 11. Let p be d(21). Let t = p + -194. Solve -5*m = 0, -2*m + 4 = t*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602331 equal to 602331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 4, f: 1, p: 9, r: 3, k: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446*-1.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6690337?\nAnswer: 19, 352123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-8 - -2)\/((-12)\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2298, 2214, 2130, 2046, 1962, 1878?\n\"Answer: -84*k + 2382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/((sqrt(100)\/sqrt(5))\/sqrt(4)))**2*2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - 39. Let t be (-6)\/(-2)*k\/9. Put 3, 2, t in descending order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4786739 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 + 3*y - 7. Let u(k) = -k**3 - k**2 - k + 6. Calculate the remainder when b(-6) is divided by u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81412 is divided by 5418.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13418084*w**2 + 14873182 wrt w.\nAnswer: -26836168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15512 - -10.00412. Let a = s - 9.8. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 29 + 1)*(56 - 8*h - 56)*(3 + 1 - 2)*(-2 - 1 + 5).\nAnswer: -1504*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 7*s + 5*f - 100, 0 = 5*s + 2*f - 108. Let q(d) = 49*d**2 + 59*d**2 - d**3 - 88*d**2 - d + s. Give q(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 16*c + 11*c = -30, -2*j + 5*c = 30 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 2840, -1\/3881?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 842 - 841 - (-1 + 23)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102\/5 - 704\/35. Put 0.4, -5\/4, -3, c in decreasing order.\nAnswer: 0.4, c, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ottt when four letters picked without replacement from {o: 5, t: 4, q: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 156*q**2 + 3064*q - 27. Give c(-23).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3792.485 to zero dps.\nAnswer: -3792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3 + 285*f**2 - 22275*f + 273375 = 0.\nAnswer: 15, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 5. Let w be a(-4). Suppose w = 2*q + 1. Solve j = -4*g + q, 0 = 5*j - 2*g + 7*g - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -367.5 + 321. Round v to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132270188.\nAnswer: 2, 33067547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -277, -421, -567, -715, -865, -1017?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -564*c**2 + 538*c**2 + 0 + 252*c**2 + 1911*c**2 + 2 to x + o*c + h*c**2 and give h.\nAnswer: 2137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -21)*(-1)\/(-3). Suppose -o - s + 14 = 0. Let h(r) = -r**2 + 7*r + 2. Determine h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(15 + -5). Suppose 0*b = k*b - 25. What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + -1)\/(8\/2396). Let d = p - -11929\/5. What is the common denominator of 76\/9 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45*9\/108*(-8)\/(-6). Which is the biggest value? (a) 1 (b) 31 (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 37*t + 19. Let f be m(18). Let w be (30\/26 - f) + (-121278)\/(-1599). What is the greatest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 100. Let s = 25 - f. What is the third smallest value in s, 5, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.5108mm in kilometers?\nAnswer: 0.0004415108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -250 - 417 - y + 171 + (-2*y - 2*y + 2*y)*(-2 + 5 - 2).\nAnswer: -3*y - 496","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-12))\/(36\/135).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) 0.05 (c) 3\/2 (d) 2\/61 (e) -0.083 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52598819 a multiple of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 37 + 145 = 0. Sort 5, 3, p.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5958559, 11917135, 17875711, 23834287, 29792863?\n\"Answer: 5958576*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1718937 and 1074?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + sqrt(2)*-3*1 + 2*3*sqrt(2))*-5.\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 43*j + c = -12293, 4*j + 4*c = 12308. What are the prime factors of j?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10440713676 rounded to the nearest one million?\nAnswer: -10441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 33. Let o(n) = 5*n**2 + 5. Let h(m) be the first derivative of 4*m**3\/3 + 5*m + 1. Let z(u) = -6*h(u) + 5*o(u). Give z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-107 - -135)\/((-1)\/(-4)). What is the greatest common factor of 4060 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, -45, -4\/411, 1?\nAnswer: -4\/411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60875\/(-8695) + (-336)\/(-48). Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2113, 3682, 5251, 6820, 8389?\nAnswer: 9958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1233232 and 5324.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-15130)\/(-1780)*76\/34\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115, 248, 381, 514?\n\"Answer: 133*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 872*u**3 - 285144*u**2 + 41440928*u - 2258530576.\nAnswer: -(u - 218)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.33097 + -1.33. Round g to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**3 - 19663005*s**2 - 117977895*s - 176966775 = 0.\nAnswer: -3932595, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 86 + 160 - 74.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 8. Let w be o(6). Let h be (8\/w + 3)\/(-1). Calculate the highest common divisor of h and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.273 * 7\nAnswer: -1.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 324 = -189 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 11483753 and 11483752 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 90*d - 543. Let t(n) = 13*n - 73. Let p(r) = -4*s(r) + 30*t(r). Let x(b) = -b + 1. Calculate p(i) + 18*x(i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 93, 220, 389, 594, 829?\n\"Answer: -f**3 + 30*f**2 - 4*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + 0.4. Let a = 3 - q. What is the nearest to a in -0.1, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 82*c - 280 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011100 - 10?\nAnswer: -1000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177708807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 3*t)*(t**2 - t**2 - t**2) - 98*t**3 - 5*t + 99*t**3 - 13*t**2 + 3*t.\nAnswer: -t**3 - 13*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 32*i**2 - i + 9. Let n be l(-16). Solve 2*b = 2*z + 3*b + 2, -3*z - n = -4*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0 + 0*v**5 + 43*v**2 - 19\/60*v**6 + 0*v**4 + 0*v + 41\/6*v**3. What is the first derivative of u(f) wrt f?\nAnswer: -114*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a day in minutes?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 41 - 3 = s, 0 = 5*s + 3*k + 80. Let x(w) = -w**3 - 25*w**2 - 121*w + 17. Let g be x(s). Is g smaller than 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 2\/11, 1103, -4, 2\/17?\nAnswer: 1103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 675*l + 45366. Give u(-67).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 110 - 110 = -3*t, 0 = 4*h + 3*t - 446. What are the prime factors of h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/20 + 2*a**4\/3 - a**3\/6 + 4*a**2 + 22*a. Let v be d(8). Factor 3\/4*g - 1\/4*g**3 + v*g**2 - 1\/2.\nAnswer: -(g - 1)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffmffffffffyffyfyff?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 736 + -707. Solve 0 = q*d - 30*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*v + 6*g - 12*g + g, 0 = 9*v - 5*v - 217*g - 1290 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x + 0 - 2\/3*x**3 - 1\/8*x**4 + x**2. What is g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1.8, -8\/11, 2, 334, -5 in decreasing order.\nAnswer: 334, 2, -8\/11, -1.8, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*l**3 - 120*l**2 - 144*l - 32.\nAnswer: 4*(l - 2)*(5*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 1218 = -32*o. Suppose 5*v - o = -64. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 214776 and 214780 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32448)\/(-91936))\/(1\/(-2)*3)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14903\/1325 - -281\/25. Calculate the common denominator of k and -8\/583.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9148076 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0*d**4 + 0*d**3 - 2*d**2 + 0 + 1\/60*d**5 + 0*d. Let n(j) = -77*j. Let z(g) = g. Let i(l) = n(l) + 66*z(l). Give i(v(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let a = -4.964 - 0.036. Put z, -5\/2, a in descending order.\nAnswer: z, -5\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 0.096, -2\/3, -1\/59?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 11*x**2 - 5*x + 1. Let o be -8 - (-3 - -1 - -5). Calculate the remainder when t(o) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*p = 2*p - 41, -3*x - 27 = p. Let s be x\/6 + (21\/9 - 1). Which is the nearest to -4? (a) s (b) -5 (c) 5 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + 1835326?\nAnswer: 18352bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*l - 1399 - 3243 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let g(j) = j**2 - 2*j - 3. What is g(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 978814*m**2 - 2*m + 3. Let h be a(2). Suppose -6*l = -l - h. Suppose -4*z + 5983051 = l. Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*g = -420, 2*g + 150 = -42*p + 44*p. Solve 12 = p*s - 76*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3737\/1514 - -24\/757. Solve 0*q**2 - 5\/2*q**5 - d*q**4 + 0*q + 5*q**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 - 48. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/30)\/(5*(-2)\/(-3307000)). What is o rounded to the nearest one thousand?\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let k = -3 - i. Let g = k - 0. What is the third biggest value in 4, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -458, -3, 2 in decreasing order.\nAnswer: 4, 2, -3, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -1582\nAnswer: 1740.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -4060.85?\nAnswer: -85277.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.1 + 21.1. Let m = -0.07 - -4.07. Which is the second smallest value? (a) o (b) 0.07 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -52. Suppose 6*n = 28 + w. Let h = n - 8. Let x(l) = -2*l**2 + 3*l - 1. Calculate x(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1158)\/126 + (-5 - 0)\/35)*(10 - 7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + -5 + 342\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -4*y - 18. Suppose -2*v + y*v + 8424 = 0. Let s = -1387 - v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -26*u**3 - u - 1. Let a be (-4)\/6 + (-4)\/12. Let r be q(a). Calculate the greatest common factor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 1a43?\nAnswer: -1a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**3 + 4*u**3 - 4*u**3)*(-1946 - 539 + 151) as g*u**2 + v + o*u**3 + a*u and give o.\nAnswer: 2334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 11545?\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -71. Let g = a - -199. What is the hundreds digit of -5 + 4 + g - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -98. Suppose 40*f - k = 38*f. Solve -4*a + f = -19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 - (-144)\/((-297)\/(-33))*-6?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6598.84 rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 4*o - 20, 4 = 4*o - 2*w. Suppose -1 = o*v - 4. Is 3 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 7*q - 3. Let l(p) = 5*p**2 - p. Let v be l(-1). Let z be h(v). What is the remainder when z\/(-6) + 53\/2 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -29. Suppose 0*z = g*z - 114. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d + -4?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14882717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 3*q - 4*q + 4*q to the form m*q + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 4*s**2 - s**2. Let t(u) = u**2 - 7*u. Let c(v) = v - 15. Let o be c(8). Let i(p) = -p**2 + 6*p. Let f(y) = o*i(y) - 6*t(y). What is f(d(r))?\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1017 - 1957. Let o = u - -939.99681. Round o to 4 dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.4, 568, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + g**2 + g + 1. Let b(h) = 1 - h - 3*h**2 + 4*h + 4*h**2. Let i be b(-2). Let q be z(i). Solve -q*l + 3*f + 18 = 0, 3*l - f - 7 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*m + 4*m - 5*m)*(0 + 1 + 0) + 0*m + 4*m - m - 3 + 2*m + 3)*(-148*m + 81*m - 141*m) as x*m**2 + h*m + v and give x.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j - 7. Let h be s(3). Suppose -3*x - 4*f + 931 = 0, h*x - 1591 + 45 = -f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, -0.3, 6\/7, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17 + 245\/10)*2736.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 2*p)*(-3 - 1 + 0)*(-p + 0*p - p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*s**2 + 683*s - 683*s + (s + 3*s - 3*s)*(-5*s + 0*s + 3*s).\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcgvv. What is prob of sequence qv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 6*(5 + ((sqrt(720) - ((-5 + sqrt(720) + 4 + sqrt(720) - sqrt(720)) + sqrt(720))) + sqrt(720))*-2))*5*1)**2.\nAnswer: 9025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -19*u**2. Let x be (-17 - -21 - (-145)\/(-4))*-4. Let c(d) = -3*d**2 - x + 129. Calculate c(i(l)).\nAnswer: -1083*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1937 from 57.\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 681, 1365, 2049?\n\"Answer: 684*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-4 - -2) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -540691.\nAnswer: 54069.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from wxy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let f be 1 + (-10)\/(-1 - y). Let w(r) = 67 - 120 - 2*r**3 + 5*r**2 + r**3 + 5*r + 57. What is w(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 3*y + 2*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j. Let y(k) = -31*k. Let p(h) = 9*a(h) + 4*y(h). Suppose 3*t = -15, 4*o + 0*o - 5*t = 33. Let r(m) = -232*m + o + 234*m - 2. Give r(p(w)).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5096255t?\nAnswer: 509625500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:21 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/60 - o**3\/6 - 5*o**2. Let k(s) = 98*s**2 - s + 6. Let z(g) = k(g) + 5*m(g). Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.2 (b) -696.2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 - 1 - (1 - 3). Suppose -v*t = -20*t + 80. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r + 0*r)*(974 - 6895 + 572).\nAnswer: -21396*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-5)*(-560)\/(-42)*-1. Suppose k*i - 24500 = -12*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 23810, -4.\nAnswer: -50, -4, 23810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - k - 2 = 1, q = -4*k + 10. Let m(i) = -4*i + 1. Let u(n) = -5*n + 1. What is q*u(r) + 3*m(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-252))\/((-3 - -5) + 140\/(-49))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**3 + 16*v + 3. What is d(-3)?\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 9*r**2 + 7*r + 11. Let g be l(8). Let k be -4 + 2 + (-949)\/(-8). Let f = 117 - k. Which is the third smallest value? (a) 1 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5579 is divided by 127.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23465747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15*l**3 + l**2 + l - 1. Calculate a(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -148. Let t = i + 43. What is the closest to -0.1 in t, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624910605.\nAnswer: 3, 5, 80553569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.8879028 rounded to 0 decimal places?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202306660 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3611\/161 - ((7 - 0) + (-2116)\/322)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 - ((-1770)\/500)\/((-2)\/(-4))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11289 equal to -14664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, l: 2, s: 3, d: 8, i: 2}. What is prob of picking 1 k and 1 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i - i**2 + 3*i**2 - 55*i**4 - 6*i**2 + 9*i**2 + 167 + 0*i + 43*i**3 wrt i.\nAnswer: -1320*i + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 - 232. Solve -5*d + 3 = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = 3*r - 20, -11 = -r - 4*d. Let x = 153 - 151. Let i be (3\/42*-12)\/(x\/(-14)). Solve -i = -m - 2*f, -r*f + 7*f + 4 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 29. Determine x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 41 - -32 - (-50 - 8).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.2 - -60. Which is the fourth biggest value? (a) -2\/25 (b) 2 (c) -1\/9 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52145 by 10429.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254242703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 40 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**2 + 6*m + 11. Let j(y) = y**4 + 21*y**2 + 11*y + 22. Let f(h) = 3*j(h) - 5*q(h). Find the second derivative of f(r) wrt r.\nAnswer: 36*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z. Let y = -50 - -29. Let w = 23 + y. Solve w*s + s - 3 = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 826 (b) 6\/7 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 239245104*s - 28619109893985408.\nAnswer: -(s + 239245104)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**2\/2 + 2. Let v be t(1). Let z be (-1)\/v - 8\/(-12). Which is smaller: 2\/3 or z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 24*q + 12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10385 = -4254*h + 4253*h. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 654 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.788 + -0.088. Let c = k - 37.2. What is the third smallest value in 30, c, -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202312.9kg to micrograms.\nAnswer: 202312900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 615*u**2 - 489*u - 9. Let c(n) = -1230*n**2 + 1018*n + 17. Let l(v) = 3*c(v) + 5*r(v). Factor l(x).\nAnswer: -3*(x - 1)*(205*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 24. Let i(q) = q**3 + 3*q**2 + 4*q + 7. Let p be i(-3). Let g be t(p). Let l be 0*(2\/(-1) + 1). Solve g*r = 4 - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - m**2 + 17 - 7 - 9 + 6*m**3 as c*m**3 + y*m**2 + z*m + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 + -256. Suppose -2 - 5 = 2*g - 3*k, 14 = -g - 2*k. Let a = b - g. Solve 10 = 2*m + 2*s, 3*m + 2*s + 6 - a = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 12) to base 11.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 212519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 6) to base 2\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 4, 5, 8 in ascending order.\nAnswer: -225, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1561 - -21891\/14. Let u = -3564 - -42797\/12. Find the common denominator of u and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 54*b**2 + 26. Let l(t) = t**2 + 18*t - 323. Let p be l(11). Is x(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (4 - -4) + -14 - -25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488022 rounded to the nearest 10000?\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6925, 6929, 6943, 6973, 7025?\n\"Answer: o**3 - o**2 + 6925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-198)\/(-210)*3\/(-9). Let h = -2\/7 + z. Let d = 3\/65 + -151\/455. Which is the second biggest value? (a) d (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10876a9 (base 11) to base 12.\nAnswer: -776a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.39 + 0.403. Let f = -0.587 - m. Let y = -2 - -7. What is the second smallest value in f, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a milligram in micrograms?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -1.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 2.24. Let v = -207 + 206.681. Let g = v + 0.019. Put 0.5, s, g in decreasing order.\nAnswer: 0.5, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 = -h, -x - 4*x - h = -82. Suppose -c + 0*c + l = 71, -5*c - 335 = 5*l. Let g = c + 149. Calculate the greatest common factor of g and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let w = 1 - -5. Let h = w - 4. Solve 5*f + 0*f + 4 = -c*o, 0 = 4*f + 2*o + h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12151 + -12145. Sort -2\/11, -5, a, 20\/3, -2.\nAnswer: -5, -2, -2\/11, a, 20\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*g**5 + 50*g**5 - 215*g**5 + 5*g**5 - 3*g**5 - g**5 + (-1 + 2 + 1)*(-2*g**5 - 3*g**5 + 6*g**5) - 2*g**5 - g**3 + g**3.\nAnswer: -339*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 7. Let j = 79110 + -79110.1. Let b = -146 + 1604\/11. What is the nearest to j in 0, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 6. Let n(k) = 8*k + 7. Let w(c) = -6*n(c) - 7*u(c). Let v(i) = 4*i + 3 + 1 - 3 + i**2. What is v(q) - 6*w(q)?\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**4 + 0*y**4 + 2*y**4)*(1 + 5 - 4) + 88*y**4 - 98*y**4 + 66*y**4 - 5*y**4 + y**4 + y**4.\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3807267?\nAnswer: 3, 457, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7792099*c**2 - 63136993*c wrt c?\nAnswer: -15584198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148525159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 10*y - 168 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -416 - -1246\/3. Let o = -28.5 + 30.5. What is the smallest value in o, v, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*y, 0 = 2*x + 3*y + y - 30. Let m = x - -6. What is the third derivative of 11*o + 16*o**3 - o**2 + 0*o - m*o wrt o?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*236665\/29128?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*q - 61 = 0, 2*b - 2*q - 2*q = 74. Solve -2*m + 2*j - 2 = 0, 0*m + 5*j = -3*m - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 326564 and -87608183?\nAnswer: 87934747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -70, -66, -60?\n\"Answer: j**2 - j - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.87 - 0.13. Let v = 0.37 + -13.37. Let n = -13.3 - v. Do n and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 2)\/((-1)\/88) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 - 120.831604586?\nAnswer: -119.431604586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -763, -407, -53, 299, 649?\n\"Answer: -a**2 + 359*a - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 74*p**2 + 410*p + 152. Let m be j(-68). Let w be 16\/(-1*2\/(-86)). Calculate the greatest common factor of w and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183179 divided by 183179\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*l + 67*l + 49*l)*(0 - 1 - 1)*(-l + 0*l + 3*l).\nAnswer: -880*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -17*p**2 - 11*p - 6. Suppose -2*y + 17*y = -3*y + 72. Let a(j) = 6*j**2 + 4*j + 2. Let o be 33\/(-1)*(-2)\/6. Give o*a(i) + y*v(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 4. Let k be p\/(-2)*(-4)\/(-6). Let n = k + 3. Solve 5*f + t - 5 = -4*t, -n*f + 3*t - 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q - 14. Let u be l(-4). Suppose -m + 167 = t, 2*m - m - u*t - 179 = 0. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28039 - 9349 + 9*a**2 + a - a - 9345 - 9334.\nAnswer: 9*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 = 4*x, y = -5*x - 15 - 3. What is the nearest to y in -1, 0.2, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/25*(-30)\/7*49\/14. Solve z*v = -68*y + 73*y - 8, 0 = -5*y + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704778753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 1 + 1)*(-3 + 7 - 2)*(258 - 258 + 81*n).\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (62 - (-25 + 85))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 6*m - m)*(4*m - 3 + 3)*(2 - 2 + 3*m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 318\/(-14) - (-4)\/(-14). Suppose -6*k - 252 = -3*v, -17 - 107 = 2*k + 4*v. What is the hundreds digit of -2*(-454)\/8 + w\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 78561\/(-6545))\/((-4)\/(-44)).\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 11. Let p(v) = -10*v**2 - 57*v + 44. Give -4*j(l) - p(l).\nAnswer: 10*l**2 + 53*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 17. Which is the closest to t? (a) 1\/5 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:04 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 73*q + 426. Calculate b(14).\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 7.4, -1\/8, 3\/8, 0.5 in decreasing order.\nAnswer: 7.4, 0.5, 3\/8, 0.2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/18 - 28*h**2 + 337*h\/6 + 747. Factor z(v).\nAnswer: -(v - 1)*(v + 337)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16800107 is divided by 258463?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - (-1 - (-2 - 2)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197715110?\nAnswer: 2, 5, 197, 100363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let g be ((-9)\/(-2))\/(3\/4). Let f = g + n. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -17*x. Let u(s) = -2*s**2 + 20*s. Calculate a(u(f)).\nAnswer: 34*f**2 - 340*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 477058*v**3 - 1566562*v**2 + 2.\nAnswer: 2862348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129487.\nAnswer: 31, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/13)\/(61\/(16653\/(-63))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/564 + 859\/7332. Let v = i + 7\/52. Which is bigger: 0.5 or v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-50)*((-55)\/7*6)\/(35\/245).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.07 - 3. Let w = -0.0665 + s. What is w rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.9? (a) 0.03 (b) 4\/3 (c) -3 (d) -2\/15 (e) -6\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4097 is divided by 4057?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 58, 27, -26, -107, -222, -377, -578?\n\"Answer: -t**3 - 2*t**2 - 2*t + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 160, -8, 5, 2, -3 in ascending order.\nAnswer: -8, -3, 2, 3, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 1326 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/134000 and -103\/9200?\nAnswer: 3082000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (32 - 19) + -23.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/54*3)\/((-119)\/1071)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -102\/5?\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200 - 193. Suppose 84 = -n*q + 13*q. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(6\/11)*c)\/c*c)\/c*c*c**8)**(-2\/7)*(c**0*c)\/(c*c**(1\/5))*(c**(-2)*c)\/(c**(-1\/3)*c) assuming c is positive.\nAnswer: c**(-5636\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358383 is divided by 3821.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-32) - (-61)\/(-4). What is the units digit of (18 + x)\/((-2)\/(-326))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-45)*5\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5483842.\nAnswer: 2, 7, 13, 29, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - -4 - (-152)\/(-11). What is the closest to -0.3 in 16\/3, w, -1.1, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -85, -84, -81, -76, -69, -60?\n\"Answer: m**2 - 2*m - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jboxxbejjkjoj. Give prob of picking 1 k and 1 b.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r. Suppose r = 7*y + 436 + 68. Let h = y - -401. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2328, 4657, 6986, 9315, 11644, 13973?\n\"Answer: 2329*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*37.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, v: 5, f: 9}. What is prob of sequence ssfv?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 70 = -3*p. Suppose 191 = p*v + 56. What is the greatest common factor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1585, 3\/19, 2\/87 in decreasing order.\nAnswer: 3\/19, 2\/87, -1585","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -325357344 divided by -624.\nAnswer: 521406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*i - 130, 2*a = -2*a + 3*i + 127. Suppose -2*k = -7*k. Suppose k = 18*q - 17*q - a. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51.11 and 0.1.\nAnswer: 51.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12087 + 12177. Calculate the remainder when 1661 is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxq when three letters picked without replacement from {x: 8, r: 3, q: 3, h: 3, c: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 74. Put 2, r, 3, -3 in increasing order.\nAnswer: -3, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14a41 - 6?\nAnswer: 14a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/7)*o\/(((o\/(o**(-5\/2)\/o))\/o)\/o*o)*((o\/(o\/o**0*o))\/o)\/((o\/o**(-2\/11))\/o*o) assuming o is positive.\nAnswer: o**(-677\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05983 - -0.55983. What is the nearest to 2\/7 in r, 2.6, -2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3239 and 10112.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*x - 40, -3*c + 3*x + 0*x = -36. Let d(t) = 2*t - 31. Give d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = 3*y, k - 6*y + y + 8 = 0. Sort 5, -1, k in decreasing order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:54 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - -0.01. Let t be 0 + 2 - 20\/4. Let h be (t\/(-1) + -2)\/(-1). Which is the nearest to h? (a) 2\/5 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4744029 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 1170*u + 342225.\nAnswer: (u - 585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 11*i + 5*l, -23*l - 61 - 128 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 46. Let o be a(0). Suppose -3*g + o = 34. Factor 0 + 52\/7*w**2 + 108\/7*w**3 + 8\/7*w + g*w**5 + 92\/7*w**4.\nAnswer: 4*w*(w + 1)**3*(7*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*r**4 - 1270*r**3 + 207340*r - 40.\nAnswer: -2676*r**2 - 7620*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6799*k - 9594*k + 3070*k.\nAnswer: -13323*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -95045*v. Let q(g) = -531*g. What is q(j(t))?\nAnswer: 50468895*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 2:42 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-52)\/(-13))\/(0 + 2). Suppose -2*x + 2*z + 4 = 0, -d*x - 5*z = 2*x + 37. Let l be (x - -8) + -2 - 2. Sort l, -2, -3 in decreasing order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let b be -8 - -1*(-1 - 1). Let o = -8 - b. Let p(u) = u - 2*u - o*u. Determine h(p(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0.18, 98, -4 in decreasing order.\nAnswer: 98, 4, 2, 0.18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1124133384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763241*p = -763238*p + r - 12, 2*p + 5*r = 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176883 is divided by 283.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 513807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i*i)\/i**(1\/4)*i**2*i*i**(-6)*(i**(-1))**4\/((i**(-4\/7)\/i)\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(-983\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -8, 35, -10, -2, 10, 0.\nAnswer: -10, -8, -2, 0, 10, 32, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + y - 1. Let k be v(1). What is the first derivative of -1 - 33*g**k + 64*g**2 - 32*g**2 wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 5*o + 5*o)*(0*o**3 + 3*o**4 + 0*o**3 + (6965 - 6965 + 79*o**4)*(-4 + 2 + 4)).\nAnswer: 644*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -483050, -483045, -483036, -483023, -483006, -482985?\n\"Answer: 2*o**2 - o - 483051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1032 - 3*n**2 - 743 + 5*n**2 + 1337 - 340*n**4 wrt n.\nAnswer: -1360*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0*i - 4 + i - 1. Let q be 4 - 84\/20 - 36\/(-5). Give h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 74*q - 191. Calculate h(1).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.05 and -357.\nAnswer: -1088.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 + 0.19. Let m(w) = w**3 - w**2 - 3*w + 2. Let g be m(2). Is g >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -64, -87, -132, -205, -312?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*b**2 - 8*b + 30*b**2 - 8*b**2 to the form n*b**2 + l + m*b and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 2. Let l(f) = 15*f**2 - 2. Let t be l(2). Let n = -178\/3 + t. Which is the nearest to -2\/3? (a) x (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3358 is divided by 557?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 19. Let z be f(-13). Suppose 4*h = 3*q - 21, -2*q - z*h = -12*h - 21. What is the least common multiple of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778528593 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/720 and 107\/56301120?\nAnswer: 56301120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3 + 1)\/((-568)\/(-11644))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 110, 169, 226, 281, 334?\n\"Answer: -n**2 + 64*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -1.6. Let f(k) = 2*k**3 + 10*k**2 + 2*k + 7. Let y be f(-5). Let l = -19\/75 + -2\/25. What is the closest to l in t, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*v - v - 2*q, 0 = v + 4*q - 28. Calculate the common denominator of -89\/6 and 4 - v - -3 - (-9)\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvgvqg. What is prob of picking 1 g and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 9*w**2 - 14897449527 + 14897449527.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9905 - 33?\nAnswer: -9938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*b**4 - 5*b**3 - 538*b**2 - 3*b + 977249 wrt b?\nAnswer: -1272*b**2 - 30*b - 1076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(98) - (-1 + sqrt(98)))*5 + sqrt(98) + 0 + 3 + 2 + -1))**2.\nAnswer: 126*sqrt(2) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/3 - (-2)\/(-3). Suppose -377*c + 313*c = 448. Let k(l) = -4*l**3 - 3*l**2 + 3. Let s(f) = 9*f**3 + 7*f**2 - 7. Determine b*s(x) + c*k(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/8 - h**3\/2 - 4*h**2 - h. Let a = -24 - -22. Let w(n) = -6*n + 7. Determine a*w(p) - 5*q(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 5*s. Let h be m(-4). Suppose h*q = 71 + 89. What is the greatest common divisor of q and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {j: 1, s: 8, o: 3, z: 4, f: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let y(s) be the first derivative of -1\/6*s**3 - s + 0*s**2 + 3. Let d(j) be the first derivative of y(j). Calculate w(d(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-4)\/(-8) - -2. Suppose 0*l - 3*l + 45 = o. Let n(v) = v**3 - 15*v**2 + 15*v - 20. Is n(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9503642.\nAnswer: 2, 53, 89657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -88, -150, -228, -328, -456, -618, -820?\n\"Answer: -x**3 + x**2 - 48*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 13*g + 9. Let s be r(6). Let l = 55 - s. Suppose -l*p = -p. Which is greater: p or -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*t**2 + 11*c*t - 35*t**2 + 3*t wrt t.\nAnswer: 6*c - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 18\/2297137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/(-35) + 1 + (-37)\/(-5). Suppose o*i - 12*i + 5*p - 265 = 0, 5*i = 4*p - 260. Let u = 48 - i. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l + 73. Let s(o) = 5*o + 24. Let n(q) = -8*s(q) + 3*x(q). What is the least common multiple of n(17) and 115?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 16*r**2 - 22*r - 17. Let j(p) = -3*p**3 - 49*p**2 - 68*p - 50. Let d(w) = -4*j(w) + 11*n(w). What is the units digit of d(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/7)*z*z\/(z*z*z\/(z**0*z*z)) assuming z is positive.\nAnswer: z**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -43\/3. What is the common denominator of -58\/3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 0.1, -1, 6 in descending order.\nAnswer: 6, 0.5, 0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-46))\/(2232\/(-8556)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 626, -477, -1 in decreasing order.\nAnswer: 626, -1, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 0*k**2 - 3*k + 5 - 2 + 2*k**2 + 0*k. Let j = 34 + -37. What is the remainder when 88 is divided by n(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -3*i. Let a(r) = -18*r**2 - 15*r + 15. Let b(q) = q**2 + q - 1. Let v = 2 - -7. Let u(d) = 3*d - 12. Let g be u(v). What is g*b(f) + i*a(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 117*z**2 - 188*z - 69. Is q(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/200844 and -121\/66948.\nAnswer: 200844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.006609 millimeters to nanometers.\nAnswer: 1006609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*m = -333, m - 349 = -4*d + 3*d. Suppose -d = -5*i - j, 4*i - 2*j = -11 + 273. Suppose 5*g - i = 27. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g + 75 - 75 to the form z*g + n and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.065\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2243*l = -2272*l + 122 + 81. Suppose -2*t = -t + 6. Let n be ((-15)\/t)\/(1\/2). Sort l, n, 2, -4.\nAnswer: -4, 2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1064590 and -2\/1171049.\nAnswer: 11710490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72851601?\nAnswer: 3, 541, 44887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o. Let q(t) be the first derivative of -t**2\/2 - 1. What is r(q(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39601177?\nAnswer: 7, 11, 17, 30253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1404 and 1709604.\nAnswer: 5128812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 66 = -4*q + 2*q, -r + 4*q = -24. Suppose 0 = 2*l + l - r. Suppose -40 = -2*z - 10. Solve -a = 3*s + l*a - 7, -3*a - z = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*555\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m - 59. What is the remainder when a(12) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15104 - -6638. What is l rounded to the nearest one hundred?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 1. Let p(b) = -7*b**2 - 2. Let c = 7 + 2. Let t(q) = c*n(q) - 4*p(q). Give t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 + l**3 + 893222*l**2 - 40614195*l?\nAnswer: -24*l**2 + 6*l + 1786444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 242.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 893b + 5?\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/38)\/((-2112)\/(-943008)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from sfcfmmmcaucmfuf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5514 is divided by 1093?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6903 (b) 1\/5 (c) -6 (d) -3 (e) -0.1 (f) -1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3*3\/2. Suppose 3*o = -t + 5. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/26)\/((-11)\/66). Let w = q + 82\/117. Let h(k) = k + 5. Let v be h(-4). Is v >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -14 - (-2)\/(-18)) + 113582\/(-1197).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 - -19) - (-3 - 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15154 and 12699052?\nAnswer: 12699052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let x(u) = -1914*u. What is y(x(t))?\nAnswer: 3663396*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -60, 1\/6, 0.6, -2\/5 in ascending order.\nAnswer: -60, -2\/5, 1\/6, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 2*k**3 + 4*k**3 + (-691*k + 25474 - 25474)*(-5*k**2 - 5*k**2 + 2*k**2).\nAnswer: 5530*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 76 = -20. Suppose -4*l + 19 + 7 = -n, -2*n = 2*l - 8. Suppose -b + l + 42 = 0. What is the highest common factor of f and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/196588 and 4\/3927.\nAnswer: 6487404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8701222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(2\/(-4)). Let a(l) = 2*l**3 - 3*l**2 - 4*l - 3. Let x(j) = -j**3 + 2*j**2 + 2*j + 2. Let k(g) = 3*a(g) + 5*x(g). Give k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3986 - 5445 = -158*u - 92*u - 3431 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28848 divided by 2404.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 685344445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -375*y**5\/2 + 3125*y**4\/12 - 2*y + 452. Find the third derivative of d(f) wrt f.\nAnswer: -22500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a - 32857 - 10*a + 26777 - 50228.\nAnswer: -48*a - 56308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/6 + p**2 - 27*p. What is the derivative of s(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40628\/9703 or 4?\nAnswer: 40628\/9703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -51\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2230 + 2217.89. Let s = w - -0.11. Let p = -341 + 341.4. Which is the closest to -1? (a) -2 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 + 3*p**2\/2 + 2*p. Let j be k(0). Let t = -2 + j. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3754 (base 10) to base 8\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 13*m = 10*m - 16, 120 = 4*v + 2*m. Let c(t) = -15*t - 74. Calculate the remainder when v is divided by c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*m + 16991, 5*h = -3*m + 7293 + 21007. Is h a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2411*l - 15*l**2 - 2411*l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1614, -1588, -1534, -1440, -1294, -1084?\n\"Answer: 2*p**3 + 2*p**2 + 6*p - 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053.56 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 948003*m**5 + 5*m**3 - 9235339*m**2.\nAnswer: 56880180*m**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8934146 (base 11) in base 3?\nAnswer: -1002111012001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*n - 5*k, 6*k - 3*k - 30 = -2*n. Let h be (190\/76)\/((-5)\/(-12)). Calculate the highest common factor of h and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1176 and 560.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5932*g + 725. Let z(k) = 8891*k + 1087. Let x(o) = -8*j(o) + 5*z(o). Differentiate x(f) wrt f.\nAnswer: -3001","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 6)*10\/12. Suppose 0*w - 3*g = -r*w, -4*w - 3*g + 27 = 0. Suppose -w*q = 61 - 100. Solve q + 7 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*l**3 - 137*l**3 - 132*l**3 + 404*l**3 + 2*l**2 + 65*l to the form k + t*l**3 + f*l**2 + q*l and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.1, 1\/4, -4, 6085?\nAnswer: 6085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 1083, 2491, 4473, 7035?\nAnswer: 10183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 35*o - 22. Let a be v(7). Let d = -126 + a. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5356 rounded to two dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3120323232 + -10?\nAnswer: 3120323222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 221120020222?\nAnswer: 221120020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.68 - 4.628. What is a rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*a - 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -142, -139, -134?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 248635710*b - 5151643023933675.\nAnswer: -3*(b - 41439285)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x - 4 + 3 - 5 - x**2 + 5. Let b be j(-5). Is b bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**3 + 15*v**2 + 3*v - 1. Let d(a) = -2*a**3 - 5*a**2 - a. Let x(f) = -8*d(f) - 3*j(f). What is x(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145426 is divided by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 970, 7739, 26156, 62059, 121286?\n\"Answer: 973*t**3 - 14*t**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = -t + 33, -t + 50 = r. Find the common denominator of -149\/6 and (202\/45)\/(-9 - (-407)\/t).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 65. Suppose -a + 87 = 5*c. Is c at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 51 + 82)*(0*b**2 - 3*b**2 + 0*b**2)*(3*b - 3*b - 3*b**2).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l = 3*l - 55*l + 129 - 1083 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - v + 5*v - 2 + 2*v + 2 + (-1 + 5 - 3)*(26 + 4*v - 26) + (5*v - 2*v - 2*v)*(-255 + 606 - 272) to d + p*v and give p.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22741507 is divided by 408?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 291?\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 13*h - 52. Suppose -b + 19 = -3*v, -h*b + 56 - 15 = -5*v. Solve -2*o + 5 = 3*a, -b*a - 4*o = -7*a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -216.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 - 18 + 18)*(12 + 16 - 3) - v**2 + v**2 - 2*v**2 + (-1 - 1 + 0)*(-3*v**2 + 3*v**2 - 2*v**2).\nAnswer: -173*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 38176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26672? (a) 43 (b) 2\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*u + 1590, 13*u = -3*f + 11*u + 952. Suppose -4711 = -321*k + f*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4066 is divided by 675.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2545102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-7) - 4818\/3066.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3478476934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238 + 1164. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 154*k**2 + 2*k + 27. Let n(t) = -307*t**2 - 4*t - 54. Let l(z) = 6*n(z) + 13*x(z). Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282\/(-11703) - 18624\/(-1328)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/11 + 15321*g\/11 - 5473530\/11.\nAnswer: -(g - 14955)*(g - 366)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 36?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 51. Let r = -319 - -287. Is 11 a factor of k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y + 25. Suppose -y*v + 2 = -4*v. Solve 1\/2 + 2*w + v*w**2 = 0 for w.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-8*((-2070)\/69)\/(-840)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56714.\nAnswer: 2, 7, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20766608 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41662793?\nAnswer: 41662793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36158 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 477*b**2 + 76*b + 227. Is a(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.52 and 54?\nAnswer: -460.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23520 and 53280?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5401*k - 5401*k + 110*k**3 + 16142*k - 5340*k - 113*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 8*l = 257*l - 4666410. List the prime factors of l.\nAnswer: 3, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440854910 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -19, 40, 3, 2.\nAnswer: -19, 2, 3, 8, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**4*t + 5*j**4 + 2*j**3*t + 2*j*t + 387*t wrt j.\nAnswer: 36*j**2*t + 60*j**2 + 12*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 42.504 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*c + 88*c + 518 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.33. What is the nearest to -5 in 0.4, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/20 (c) 3 (d) 2.67 (e) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let n(r) = 8*r**2 - r. Let o be n(1). Let q be 3*(o\/k + -3). Put 4\/3, 1, q in decreasing order.\nAnswer: q, 4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**4 - 202*d**2 - 102*d - 968508 with respect to d.\nAnswer: 48*d**3 - 404*d - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(10\/15 + 2)*-3. Is b <= 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81612235.\nAnswer: 5, 29, 281, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/11, 7\/34, -0.44?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*x - 142*x + 6 = 0. Which is greater: -13\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 3\/(9\/6). Suppose -o + 7 = m, -k*m - 3*m - 2*o + 26 = 0. Suppose 2*d + 0*d = m. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 81 = 3*k, 0 = x + 1068*k - 1067*k - 31 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (8 - (-4 - -10)) - 2) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)*(-10)\/20. Let z = -20 + 23. Sort z, -1, m in ascending order.\nAnswer: -1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11754712 (base 8) in base 3?\nAnswer: 11220200112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 4*r - 2. Let y(t) = -10*t. Let n be y(4). Let w = 58 + n. Suppose -2*o = 4*q - 16, o = q - 5*q + w. Determine f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -123057, -246120, -369183, -492246, -615309?\n\"Answer: -123063*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 180?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n. Let t(f) be the third derivative of -f**5\/30 - 7*f**2. What is b(t(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(3 + w**2 - 2 + 38*w**3 - 23*w**3).\nAnswer: -15*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*x = 18, 2*x = -21*m + 17*m - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*3*4*(0 + sqrt(72)).\nAnswer: 5 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103055150 divided by -110.\nAnswer: 936865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfhnflu. What is prob of sequence hlnz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 136. Suppose -u + 3*x = 11, 4*u + 5*x = -14 + o. Let l be (-12)\/(-14)*1\/3. Put l, -4, u in descending order.\nAnswer: u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 55*o**2 - o + 49*o**2 - o - 74*o**2.\nAnswer: 30*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1606*j = -1590*j - 16. Let b(f) = f + 4. Let i be b(-4). Solve o - 5*o + 5*l + j = i, -2*o + l + 5 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 375 = -2*o, -2*o - 10 + 4 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6341.\nAnswer: 5\/6341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121)*2)\/sqrt(11) + sqrt(22)\/sqrt(2) + 4.\nAnswer: 4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/(f*f**5)))\/(f\/f**1*f))\/(f**(2\/15)\/f*f*f\/(f\/(f*f**(-5)))))**31)**(-35) assuming f is positive.\nAnswer: f**(-28861\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79308577?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 779043 * 948\nAnswer: 738532764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -125*f**4 - 13623*f**3 + 343*f**2 + 13623*f - 218 = 0.\nAnswer: -109, -1, 2\/125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 49. Sort -2, 4, -5, i in decreasing order.\nAnswer: 4, -2, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) -4\/7 (c) 1\/39 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3686 and -13.\nAnswer: 47918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 16*p - 10. Calculate the common denominator of 13\/10 and 1126\/(-140) - (-2)\/p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.336 + -1.674. Let d = -0.01 - h. Let m = 3.3 - 3. Which is the nearest to 0.2? (a) 1 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 878\/(-1656)*-36 - 6\/69.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 9*c**2 + 6*c + 3. Let w be r(9). Let s = w - 45. Solve a = 4*a + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1750*n**2 + n + 3. Is x(1) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 2*m + 24, -b + 6 = 4*m. Let u = -13 + b. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87.5 - -87. Put -1, 0, -2\/5, r in decreasing order.\nAnswer: 0, -2\/5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 13*s**3 + 5*s**4 - s**3 - 4*s**2.\nAnswer: 2*s**2*(s - 2)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gagqgmqaqqd. Give prob of sequence gqqq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62 + 10 + 26 + 11*n**3 with respect to n.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:16 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*x = -27. Let g(q) = 13*q**3 + 2*q - 4. Is g(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = -z, 4*j - 3*z - 3 = 10. Let o = -364 - 88. Calculate the common denominator of o\/40*j + 3 and -115\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/(k*k**(1\/4))))\/(k*k\/k**1))\/((k\/k**(1\/2))\/k**(1\/5)))**(-4\/7))**(-12) assuming k is positive.\nAnswer: k**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 209*i. Let o(j) = -30*j. What is d(o(u))?\nAnswer: -6270*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 250 - 762. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s = 760 - 88 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/12 and (-19)\/((-133)\/28) + 16215\/(-3996).\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 plus -0.044855?\nAnswer: 44.955145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 21*j**2 + 24*j - 72. Calculate w(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times -0.1?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 32 = -36, -5*o + 51 = -4*r. Let i = 0 - 0. Suppose -f + i*d = 3*d, 0 = -4*f - d + o. Solve -9 = -w + f*b - b, 5*b = -20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2 + 2)*(-4*k + k + k + (3 - 6 + 1)*(703 - 328*k - 703)).\nAnswer: 1308*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/12 + -3)*33. Let r(z) = 2396*z**2 + 8*z - 4. Let j be r(f). What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4024*g + 112676. Calculate v(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520626100 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 137262723574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -47?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -100. Suppose -28 = 8*p - y*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*t**3 + 33*t**3 - 81*t**3)*(-7*t + 0*t + 3*t) as p*t**4 + x*t**3 + m*t + y*t**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 184?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 2. Let o be q(-5). Solve 3*g + g = o*c - 23, -2*c + 18 = -4*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -17. Let c = 10 + x. What is the second derivative of b**4 - 5*b**4 - 2*b + 3*b**c wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 200*s**2 + 33*s - 14. Let a be b(8). What is a rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 13. Let f = 26 - b. Let o be (0 + 1\/f)*6. Put -1, -4, o in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49789945.\nAnswer: 5, 9957989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104874 and -0.6?\nAnswer: 104874.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6512958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (135\/(-693) + 2\/(-22))*2\/(-2). Factor 0 + j*s**4 - 4\/7*s**3 - 8\/7*s - 2*s**2.\nAnswer: 2*s*(s - 4)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v**(2\/11))\/(v**(-1)\/((v*v**1\/v)\/v)) assuming v is positive.\nAnswer: v**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19236757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)\/(a\/(a\/a**4*a)*a*a*a)*(a**0\/a)**(4\/5))\/((a*a**(1\/4)*a)**(13\/6))**(-10\/19) assuming a is positive.\nAnswer: a**(-4637\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532326050.\nAnswer: 2, 5, 71, 113, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n + 6*n**2 - 10*n**2 - 7*n**2 - 5 + 9*n**2.\nAnswer: -2*n**2 - 61*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -298*j**3 - j**2 - 2*j - 1. Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = 5*c. Suppose 4*g + 8 = -c*q, g - 1 = 5*q + 9. Factor -1\/4*w**5 - 1\/4*w**4 + 0*w**3 + 0 + g*w + 0*w**2.\nAnswer: -w**4*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 1\/24 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - i**4 + 0*i**3 + 2*i**4 - 5*i**4 + i**4 + (5 + 3*i**3 - 5)*(-4*i + i + i) - 2*i**2 + 3*i**4 + i**2 - 5*i**4 - 9*i**4 - 7*i**4 - 11*i**4.\nAnswer: -38*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*o + 31, 11*o - j + 4*j = 62 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 43 = -8*z + 3*t, -5*t + 74 = 3*z. Let m = -28 - -19. Let v = z + m. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5495?\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13 = 3*u, 6 + 15 = -5*u + 4*y. Let t = u + 0. Suppose -3*v + 7*v = 0. Sort v, -2, t in ascending order.\nAnswer: -2, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose 8 = -o*q - 24. Let m = 26 - q. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0, 33, -0.03 in increasing order.\nAnswer: -0.03, 0, 0.02, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let x(c) be the second derivative of -5*c**4\/12 - 7*c**2 + 9*c - 51. What is k(x(l))?\nAnswer: 25*l**4 + 140*l**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 4190*j - 37741. Calculate q(-9).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pipr when four letters picked without replacement from {p: 2, r: 1, i: 6, a: 4, k: 3}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2736) + sqrt(2736) + 1)*3)**2 - (3*sqrt(228)\/sqrt(192) + -4).\nAnswer: 10365*sqrt(19)\/4 + 591034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4)\/t*t*t**(-5)*t*t)\/(t*t**(-1))**(-20)*((t\/(t\/(t**3*t)))\/(t\/t**2))**(18\/13) assuming t is positive.\nAnswer: t**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -4 - (-25 + 31).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1083640935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1.1.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 426412, -4.95, 2 in descending order.\nAnswer: 426412, 2, -4.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0858 times -0.0463\nAnswer: 0.00397254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, 7, 38, 59, 64, 47?\n\"Answer: -r**3 + 4*r**2 + 30*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 2. Let n be k(-2). Suppose -2*a - 4 = -2*r, 4 = -n*r + r - 2*a. Solve -z - 4*z = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1651, 0.5, 0.4, -2.1, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -g + 4*g - 4*t, 66 = -4*g + 3*t. Let y be 4\/g - (-7)\/(-9). Is y < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - r - 99 - 361 = 0, -4*r = -16. Solve 0 = 233*y - o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148.72 - 145.72. Let g = 0.3 + -0.1. Let t = -20 + 14. Put t, 5, b, g in increasing order.\nAnswer: t, g, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 7*d - 5. Does 16 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354511 (base 7) in base 8?\nAnswer: 175063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.25 * -0.4\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1319*b**3 + 1022*b**3 - 2544*b**3 + (0*b**2 + b**2 + b**2)*(-b + 2*b - 3*b) - 3 + 3 + 2*b**3.\nAnswer: -2843*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(88)\/(-3*sqrt(8) + sqrt(8)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-30)*5)\/(4\/6) + 26. Suppose 0 = 3*c + 3*u - 27, -c = 3*u - 0*u - 17. Solve 5*p - y = -5*h + 2*h, 2*p = c*h + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 (base 10) to base 13\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -372*j**2 + 5*j + 2. Let z be f(1). Let q = z - -374. Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169525, 678036, 1525539, 2712034, 4237521?\nAnswer: 6102000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**3 - 10. Let g(m) = 2*m**2. Determine i(g(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1445 and -1446 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 + -65\nAnswer: -65.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2301?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5508013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c36 + 5?\nAnswer: -c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1343220 and -149\/18?\nAnswer: 4029660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 29*a**3 + 15*a**2 - 22*a + 38. Let q be g(13). Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19866*h**4 - 31*h**3 - 604527*h**2.\nAnswer: -476784*h - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.192 - 0.718. Let v = d + -1.09. Which is the third smallest value? (a) v (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 = 13. Let u = -9 - -6. Let d = u + 5. Solve -d*p = h + 7, -p + k*h + 0*h - 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111221 (base 4) to base 8.\nAnswer: -12551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745274.2l to millilitres.\nAnswer: 745274200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 - 144. Let o = -59 + x. Solve -o = -0*h - 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z + 18*z - 21136 - 30*z.\nAnswer: -37*z - 21136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128879*o**5 - 1891*o**2 - 3?\nAnswer: -7732740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23134, -23135, -23136, -23137, -23138, -23139?\nAnswer: -23140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -61, -146, -301, -550?\n\"Answer: -4*r**3 + r**2 - 14*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13482 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-4\/7)\/z*z**(-1)*z**2\/z**(-1\/2))\/((z**(2\/3)*z*z)\/((z*(z\/(z\/(((z**(-6)*z)\/z*z)\/z)*z))\/z)\/z))**(2\/117) assuming z is positive.\nAnswer: z**(8581\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129581 + -1941013\/15. Let d = j + -180. Let c = -1\/15 - 2\/15. Sort c, d, -3.\nAnswer: -3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 17*x - 6. Let q(r) = 96*r - 33. Let p(k) = -5*l(k) + q(k). Calculate p(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89770\/677 at most as big as -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/24 and -74\/963.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 9997.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**9\/1890 - y**5\/10 - 3*y**4\/4 + 5*y**2. Let o(i) be the second derivative of w(i). What is the derivative of o(k) wrt k?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i - 44 = 83*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y\/(y**(-2\/7)*y*y))\/y)\/y)**(2\/9))**(-6\/19) assuming y is positive.\nAnswer: y**(16\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(((g*g\/g**13)\/g)\/g)*g**(2\/67)*g*g**(2\/3)\/(g*g**(-43)) assuming g is positive.\nAnswer: g**(11798\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 107*y + 507. Let q(l) = l**2 - 106*l - 506. Let w(s) = -6*a(s) - 7*q(s). Factor w(v).\nAnswer: 5*(v + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2106))\/(sqrt(14)\/(sqrt(7)*1)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -0.4, -3\/4, -2 in descending order.\nAnswer: 2, -0.4, -3\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**2 + 8*q + 4. Let b(n) be the first derivative of 7*n**3\/3 - 7*n**2\/2 - 3*n + 1. What is 6*b(o) + 5*r(o)?\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-5\/4))\/r*r\/(r\/(r\/(r\/(r\/(r\/(r\/((r\/r**(-29))\/r)*r))))))*r**(-9)*r*r\/((r*r**(-1\/6))\/r) assuming r is positive.\nAnswer: r**(-409\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -29*g - 269. Is p(-13) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-22)\/(-6). Let n be (0\/(z + -2))\/(-1). What is the derivative of 3 + q**3 - 4 + n wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 - 12)\/(5\/((-230)\/(-4))). What is the third derivative of -27 + 45*w**2 - 19 - 37*w**3 + m wrt w?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/72974670 and -21\/8.\nAnswer: 291898680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2296704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303748 by -2.\nAnswer: 151874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a century in months?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646753 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.1, -3\/2, 26, -4, -6, -20?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -15.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 28*x. Let i be (2 - (0 + 6))\/(4*(-14)\/(-84)). Let s(z) = 29*z. Calculate i*s(f) + 5*y(f).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 61. Sort 4, -1, d, 1 in increasing order.\nAnswer: d, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 + 4\/(-12). Let i = g - -1\/2. Find l such that -1\/6*l**3 - i*l - 1\/3*l**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i + 39. Find the common denominator of (-6)\/(-9) + 239\/(-66) and (-11)\/(-16) - 4\/i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -1\/1363, -5, -12, 99?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**3\/2 + f. Let g(p) be the second derivative of 0 - 3*p + 0*p**2 - 1\/3*p**3. Calculate g(t(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 216 + 41 = 0. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209095*i*z**2 + 2*i - z**2 - 836*z + 9 wrt i?\nAnswer: -209095*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065.206 litres in millilitres?\nAnswer: 7065206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 - p + 1. Let n(a) = a**3 + 2*a**2 + 2. Let m(j) = k(j) - n(j). Determine m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (0 + sqrt(1088)))*-1*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19*a**2 - a. Let d be y(1). Let w = d - 25. Let u(f) = f**3 + 7*f**2 - 2*f - 1. Let v be u(w). Solve 4*k = -3*x - x + 8, -x = -4*k + v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7203*n**3 + 74970*n**2 - 29700*n + 3000 = 0. Calculate n.\nAnswer: 10\/49, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 4*h + 4. Let z be g(-3). Suppose -2*v - z*u + 4*u = -279, u = 5*v - 723. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p + 26516 + 13876 = 0. Calculate the lowest common multiple of p and 54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s**2 + 3*s**2 + 0*s**2 + (-3*s + 2*s + 2*s)*(s + 0*s - 2*s) - 3*s**2 - 4*s**2 + 4*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 s, and 1 w when four letters picked without replacement from {g: 6, w: 5, s: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:57 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 2*m = 6*h - 48, m = -1. Is h less than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*v**4 - 9*v**4 + 61*v**4 + (-3*v**3 + v**3 + 3*v**3)*(-3*v + 3*v + v) - 2*v + 2*v - 2*v**4.\nAnswer: 104*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -72*r**3 + r**2 - 3*r - 18. List the prime factors of y(-2).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9547, 14810, 20073?\n\"Answer: 5263*x + 4284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -9. What is the units digit of 1 + 7 - (2 + b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 136?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 268*u**2 - 1. Let j(s) = 12*s + 9*s - 20*s. Give j(a(z)).\nAnswer: 268*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-204)\/(-10))\/((-6)\/30). Let y = -85 - j. Calculate the highest common divisor of y and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21378 - 22?\nAnswer: -21400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - -142. What is the greatest common factor of l and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-16)*y*y*y**(-16))\/(y\/((y*y**(-1\/10)\/y)\/y)*(y\/(y*y**(11\/5)\/y*y)*y)\/y) assuming y is positive.\nAnswer: y**(-299\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 31 = 4. Suppose -181*q - 23*q + 2800 = -4*q. Calculate the least common multiple of y and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 divided by 46?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 4, -13, -44, -89, -148, -221?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*h**5 - 2*h**4 - 9*h**3 - 10*h**4 + 61*h**5 + 64*h**5.\nAnswer: -3*h**3*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37176709 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834 = -17*g + 5490. Does 67 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5736 and 45804.\nAnswer: 21894312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -49926*a - 1647554. Calculate g(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*v + f, 5*v - 18 = -2*f + f. Let s be (-6)\/v - -4 - 3. Let g = 1\/115 - -68\/115. Which is the third biggest value? (a) g (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10168912 is divided by 2820?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101692 is divided by 7593?\nAnswer: 2983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*h - p + 27, 0 = -4*h - p + 39. Let f(z) = z**3 - 10*z**2 + 10*z + 3. What is the least common multiple of 22 and f(h)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*x**2 - 78*x + 363 with respect to x.\nAnswer: 10*x - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2299*-2.4876.\nAnswer: -0.57189924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*-1*46\/(-276))\/(-3)*108\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9.4 * -2.027\nAnswer: 19.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 11*d + 3. Let y be x(11). Suppose 104 = 4*t + 4*o, t - 26 = y*o + o. Find the second derivative of -12*g**3 + t*g**3 - 3*g - g wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q - 10. Calculate the least common multiple of 1\/2 + (-43)\/(-2) and w(6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**5\/5 - l**3 - 5*l + 6. Let b(p) be the first derivative of j(p). Find the second derivative of b(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91800149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -7. Let l = r + -5. Calculate the remainder when 6\/((-6)\/(-9)*3) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039 = -6*j + 5717. Let v = -1123 + j. Factor 14\/3*a**2 + 2*a**4 - 16\/3*a**v + 0 - 4\/3*a.\nAnswer: 2*a*(a - 1)**2*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001000101111011 (base 2) in base 14?\nAnswer: 6d243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/9053537 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.7 + -4.9. What is the closest to x in 0.3, -3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*g, 2*r + 5*g + 0*g = -11. Suppose -r*k + k = -2. Solve 0 = 2*i + k*v - 18, -5*i - 2*v + 5 = -7*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 + 169 + 88 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13084*10\nAnswer: 130840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (0 + -1 + -3)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -3, -72, -1\/5, 4 in decreasing order.\nAnswer: 4, -1\/10, -1\/5, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/6)*(r*r\/(r\/(r**(-3)*r*r))*r)\/r)**30*(r*r**(2\/7))**(-9)*r\/(r*r**(-2))*r*r*r**3*r assuming r is positive.\nAnswer: r**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 90. Let r(g) = f + 2*g - 2*g + 3*g - 2 - g. Determine r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(72\/45 - 4\/2). What is the closest to -1 in -2\/5, 1, 2\/25, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301979.\nAnswer: 301979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336947333?\nAnswer: 3, 445649111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + 1012\/10)\/(16\/5 + -3). Solve x = 8*n + 522 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-594)\/81*(-9)\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 7*b + 77, 0 = 2*b + n - 1309 + 1280 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4745 greater than or equal to -4774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 - 4*f**2 + 4*f**2)*(0*f**3 + f**3 - 3*f**3) - 2*f**3 - 29*f**5 + 3*f**3 + 15*f**5.\nAnswer: -2*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70675.86 decades to centuries.\nAnswer: 7067.586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91.5 - -103. Let n = 132.5 - j. Let x = 125 - n. Is x less than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvfhxhqhfvqh. Give prob of sequence hqvv.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**5 + 26*r**3 - 104*r**2 wrt r.\nAnswer: -240*r**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 183926.\nAnswer: 2023186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602730, -1205460, -1808192, -2410926, -3013662, -3616400, -4219140?\nAnswer: -4821882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148667 (base 16) in base 14?\nAnswer: -2702c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10880221 and 61171.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d**2 + 5*d)*(1 - 2 + 3)*(3*d - 4*d + 2*d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/112)\/(2\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1)*-5 + (4*(sqrt(180) + -1) - sqrt(180)) + -4 - (-3*(sqrt(180) + -3) + (-2 + (sqrt(180) - sqrt(180)*1) + sqrt(180) - sqrt(180))))**2 + 3.\nAnswer: -240*sqrt(5) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6191813*h*j**2 + 33329*h*j - 4*h + 2*j wrt j.\nAnswer: 12383626*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17638 = -39*d + 1052*d - 15791 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 + -1 + (-33)\/132. Which is the nearest to u? (a) 3 (b) 1\/17 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*o + o + o)*(2 + 1 - 2) - 4*o + 4*o - o + 2*o + 8*o + o)*(o**2 - 2*o**4 - o**2) + 10*o**3 - 10*o**3 + 8*o**5.\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394348, 788692, 1183034, 1577374, 1971712, 2366048?\nAnswer: 2760382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10995072 and 217\/200640?\nAnswer: 54975360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/80 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -21. Let k = 12 + -7. Suppose -k*o + 10*o = 170. Calculate the remainder when o is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - n. Let c(x) = 2*x**2 - 2*x. Let d(m) = 5*c(m) - 6*y(m). Factor d(w).\nAnswer: -2*w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 56545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*d*f*m + 49341*d*f - d*m + 123477757*f*m wrt d?\nAnswer: 18*f*m + 49341*f - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s = l + 31*s - 5, -2*l + 9 = 3*s for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 17. Suppose -2*u - 32 = -4*h - u, a*h + 3*u - 32 = 0. What is the units digit of 42\/h - (-1)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/264 and -131\/726.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16347 - -153916. Suppose -2*p - 3*x = -171997, -c - 34435 = -2*p + 4*x. Round p to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 531, 619, 763, 975?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 776 - 1540 - f + 765. Let a(r) = -5*r**2 - 3*r + 3. Determine -a(n) + 4*y(n).\nAnswer: 5*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 31, 50, 65, 70, 59, 26, -35?\n\"Answer: -k**3 + 7*k**2 + 3*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 91*i**2 - 89*i**2 - 11 + 11*i + 43. Let j be f(-6). Let s be j\/(1\/2*16). Are 6 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + -9)*76\/6. Suppose -16 = -3*l + y. Calculate the highest common divisor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -320*a**4 + 8997*a*q + 5*q - 157515 wrt a.\nAnswer: -1280*a**3 + 8997*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-150)\/(-20)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p. Let j(s) = 111570*s. What is r(j(u))?\nAnswer: -1338840*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/3292 and 3\/((-540)\/1295) - 35\/(-84)*3.\nAnswer: 29628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4622 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25 - 5)\/(1\/4). Let q = -50 + b. What is the remainder when 146 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*m - 1050988*m**2 - 84*m - 87*m + 1050987*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4\/5 (c) -3771\/4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from llgllnnlll?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57438*u**3 + 2*u - 2*u - 57499*u**3.\nAnswer: -61*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**2. Let r(a) = -72*a. What is v(r(i))?\nAnswer: -72576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218*v**2 + 196*v**2 - 337*v**2)*(-2 - 4 + 5 + (1 + 2 - 2)*(1 - 1 + 1) + 0 + 0 - 2 + 4 - 3 + 0).\nAnswer: -77*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1185 and -8\/2007.\nAnswer: 792765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3200794 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*153135\/4980?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 191, 395, 669, 1007, 1403, 1851, 2345?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -7 + 19. Suppose -k*s = -2238086 + 331158. Let d = 2443464 - s. Round d to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -520603 in 73, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0 - 4) + 9. Let i be (c + -3 + 0)\/1. What is the tens digit of (-2)\/(-8) - (-43)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 50\/45*-3. Let m(k) be the first derivative of 1\/15*k**5 + 0*k + 0*k**3 - 1\/4*k**4 + 1 + c*k**2. Factor m(s).\nAnswer: s*(s - 2)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3694397 = 2*s - v - 834396, 5*s = -3*v - 7149997. What is s rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.174394 times 0.03\nAnswer: 0.00523182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -9\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**21\/s*s**(3\/13))\/(s**(-1\/3)*s)**10 assuming s is positive.\nAnswer: s**(529\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nquw when four letters picked without replacement from quowunnuouwn.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45268249 by 73.\nAnswer: -620113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -32 + 32 + 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.84 - -78834.\nAnswer: 78829.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -262.6, 15, -1\/31, 1\/3, -0.1?\nAnswer: -262.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7236*l**2\/7 - 7234*l\/7 - 2\/7.\nAnswer: 2*(l - 1)*(3618*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84353.9 micrograms in tonnes?\nAnswer: 0.0000000843539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -4106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 - 3) + (4 - -18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i*(i**6\/i)\/i*i*i*i**9*i\/i**12)**8 assuming i is positive.\nAnswer: i**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from knjjkjjknjjpjq.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-2) + -4 + -2. Let q be (9 - 7)\/(o\/4). Suppose -5*r = i + 28, 1 + q = -r. Which is the nearest to 0? (a) i (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/2 less than or equal to 8.10164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2430e9 - -c?\nAnswer: 2430f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 129313080 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((-2)\/24). Is 1736 + -2 + y + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -5. Let c be (-8 + a)\/((-1)\/(-2)). Let u be c\/9 + 76\/18. Solve -4*k - u = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**3 - 640*y**2 - 628*y + 1272 = 0?\nAnswer: -159, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 10:41 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -366?\nAnswer: -37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -428, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23154865 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304467599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -71, -0.6, -2, 2\/15?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0)*1*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(0*b - 5*b + b) - 23*b - 11*b + 10*b)*(-b**3 + 6*b + 9*b - b).\nAnswer: 16*b**4 - 224*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c + 20. Let l = 1129.081 + 22.219. Let n = 1151 - l. What is the third biggest value in c, -0.4, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v, 2*v + 48 = n + 49 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25847769, 51695537, 77543305, 103391073, 129238841, 155086609?\n\"Answer: 25847768*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 + 9*j**2 - 5 - 8*j**2 - 4*j. Let r be q(5). Solve 3*c - 6 = -5*m - 3, r = -4*c + 4*m - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w**2. Let y(i) = 108*i - 108*i + 5*i**2 - 4*i**2. Give c(y(v)).\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 3*l + 7*l - l + l - 1. Let d(t) = 2*t - 1. What is 5*d(g) - 4*h(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/24 - k**3 - 3*k**2 + k. Let g(a) be the first derivative of v(a). Let t(z) = 1. Calculate -g(f) - 6*t(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 48, -3, 376, 4, 0.\nAnswer: -3, -1, 0, 4, 48, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0 - 6 + x + 6 - 1. What is the smallest common multiple of 14 and w(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1499 + -10487\/7. Let l*q**2 + 6\/7*q**3 + 0 + 0*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**3\/3 - 2*j**2 + j + 1. Suppose 3*q - 10 = -m + 2*m, q - 5*m + 6 = 0. Calculate a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53065 - 80208 = -17*p + 128067. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8907.434 meters in micrometers?\nAnswer: 8907434000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2640651 - -76537230\/29. Let z = g + 1436. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 335?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -121*t + 0*t**4 - 29 - 83\/5*t**5 + 0*t**3 + 0*t**2. Differentiate h(s) wrt s.\nAnswer: -332*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10148565, -20297127, -30445689, -40594251?\nAnswer: -50742813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -4. Let f = y + -2. What is the second derivative of 11*t**3 - 15*t**3 + f*t**3 + 3*t wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 0, 5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**5 - 3*a**3 + 7934*a**2 - 1551308*a.\nAnswer: 100*a**3 - 18*a + 15868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 54588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 17. Let y(s) = -s**2 - 8*s + 9. Let w be y(f). Which is smaller: -3\/65 or w?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) 0.99 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0589? (a) -0.07 (b) 458 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1817974993\/3 or 605991664?\nAnswer: 605991664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/25537 + -2145154\/587351. Let x = 1493\/138 + u. Calculate the common denominator of x and 7 + 0 - (10\/(-48))\/(1435\/(-100737)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*2*(-1)\/4. Suppose -y = -5*s + 35, -5*s - y + 15 = t*y. Is 52\/s - (-10)\/(-15) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2676 is divided by 244.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -73, -109, -347, -865, -1741?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 5 + 0 + s + 2*s.\nAnswer: 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + n - 1)*(24 + 13 + 5*n - 7*n) to b + i*n**2 + m*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21761*j + 3699364. What is o(-170)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -1. Let s be -1 + (-4)\/(t\/27). Let i be -2*418\/(-8) - (-1)\/(-2). Calculate the greatest common divisor of s and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 j when three letters picked without replacement from ssjpjp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 + -218. Suppose -c*b + 53*b = 72. Put -1, b, -3 in decreasing order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6351 - -0.6351. Let q = -0.11 - -0.1. Put 5, 2, n, q in decreasing order.\nAnswer: 5, 2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-21) - 6\/21. What is the common denominator of (-111)\/(-30) + b + -2 and -15\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = -0. Let r be ((1 + -45)*u)\/(14\/7). Which is bigger: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 15 = -l, -493*l + 5 = -488*l - 4*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.45 + 7. Let m = n + 0.3. Let s = m + 12.15. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 35*l**2 - 14*l + 11. What is the remainder when 556 is divided by u(17)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + f - 2)*(-384 + 762 - 380 + 3*f**3 - 2*f**4) + (f**2 + 0*f**2 + 0*f**2)*(2*f**3 + 2*f**3 - 3*f**3).\nAnswer: -f**5 + 3*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 249, 17, 4, 5 in increasing order.\nAnswer: -120, 4, 5, 17, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 23 = 5*t - 3, k = 5*t + 16. Suppose 0 = -2*v - 4*p + 44, -3*v + 5*p = -k - 34. Let d be 3\/(-48)*-56 + 1\/2. Solve -v = d*b, m + b + 2 = -0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (351\/6)\/9*2. What is the first derivative of w - 541 + 444 + z*w + 145*w wrt w?\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.7588cm to kilometers.\nAnswer: 0.006367588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532720 divided by 26636?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02756596587 - 138.97243470413. Let x = 139 + g. Round x to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x + 58*x + x**2 - 24*x)*(3*x + 2*x - 3*x + (1 + 1 - 4)*(4*x - 4*x - 2*x)).\nAnswer: 6*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 13) to base 8.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162428209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from rytjjxj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012679.36 milliseconds in days?\nAnswer: 0.0232949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 28\/5, 1\/5, 106\/7, 6\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/630 and 107\/10206.\nAnswer: 51030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28a9b815 - 4?\nAnswer: 28a9b811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/176 and 37\/218.\nAnswer: 19184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10371768 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + d)*(5*d + 5*d - 5*d)*(-198 + 425 + 264) + (2*d - 4*d + d)*(2*d - 2 + 2).\nAnswer: -4912*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = q. Suppose -8 = h - p, -4*h - q*p - 4 = p. Which is the second biggest value? (a) 0 (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 54518*h - 435974. What is l(8)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -194300 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 43 = -39 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 2*s**3 - 6 + 4*s to the form f*s**2 + q + v*s + u*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 0 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/18*(-2)\/(-3))\/((-10)\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - -0.55. Sort -2\/5, -2\/13, o, -4\/7.\nAnswer: -4\/7, -2\/5, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 - 13*a\/6 - 5.\nAnswer: -(a + 3)*(a + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 813.2496 milligrams in kilograms?\nAnswer: 0.0008132496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613 times 42?\nAnswer: 235746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 3:15 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -48*m - 52. Let k = 127 + -122. Let t be f(k). What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*w + 7 = -3*k, -4*k - 3*w + 41 = 0. Let c = 2 + -6. Find the common denominator of 1*c\/(-88)*212\/k and -39\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 19*z**2 + 2*z + 46. Let x be c(-19). Suppose -3*h + x = -58. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/21, -1, -10\/11, 0.2, -2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10011100010?\nAnswer: -10011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (13 + (-7 - 12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2299)*2)**2 - (2 + 5 + sqrt(19) + sqrt(19) + -3).\nAnswer: -2*sqrt(19) + 9191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112627153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*t**3\/19 + 370*t**2\/19 - 117218*t\/19.\nAnswer: 2*t*(t + 43)*(36*t - 1363)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-14)*143\/212. Let l = -6\/53 - b. Determine t so that -2\/7 - 8\/7*t**2 + l*t = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6873092 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(6) - sqrt(6)*-2*-5)\/(sqrt(2) + sqrt(4)\/(sqrt(8)\/sqrt(4))) + -1))**2.\nAnswer: 9*sqrt(3) + 247\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2888*t - 7044. Determine i(3).\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118624 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8 + 0 = h, -5*h - 4*a + 19 = 0. Let c(l) = -6*l**2 - l - 8 + 4 - 126*l**h + 125*l**3. Let v be c(-6). Solve k = v*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2\/9, -0.016, -397, -2, -4 in ascending order.\nAnswer: -397, -17, -4, -2, -0.016, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 - 116*u**3 - 4149*u**2 - 41830*u + 101200 = 0 for u.\nAnswer: -55, -40, -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0132440607 to six dps.\nAnswer: -0.013244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -6. Let z = 9 - 23. Let c = z - -18. What is the third biggest value in -0.5, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 - 135*x - 1152. Give i(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -520 + 533. Calculate the remainder when 2\/p - 59250\/(-195) is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from uludmlmllxlulul.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -1)*(0 + 3). Find the common denominator of 35\/2 and (-207)\/15*m\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -5 + (-5 - (-48 + 34))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7265120848 to the nearest integer?\nAnswer: 85236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11572*s - 4813966. What is o(416)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (5 - (-15 + 20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2. Let d(n) be the third derivative of 11*n**4\/24 + 4*n**2. Give d(o(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95909 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -1 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3*q = 3*k - 12, 16 = -4*q. Find s, given that -s**2 - s**2 + k*s + 46*s + 33 + 15 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 16*x**2 - 34*x - 22. Suppose -24 = 22*l - 26*l. What is the smallest common multiple of u(-15) and l?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {c: 2, o: 1, z: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -25. Suppose v = 4*t + 2*c - c - 21, -3*c - 17 = -4*t. Suppose -t*z + 860000 = -6*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three halves of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -5*g + 142, 5*s - g - 1602 = -1649 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -0 - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*i - 3494 + 3494.\nAnswer: -254*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 369*r - 3312. Determine w(9).\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -203*f**4\/4 - f**3 + f**2 + 6*f + 35. Let d be w(3). Let r = -3547 - d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3))**(-42))**(7\/3) assuming r is positive.\nAnswer: r**(-392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 5. Let f(v) = 3 - 189*v**2 + 193*v**2 + 1 - 4. Determine f(o(y)).\nAnswer: 36*y**2 + 120*y + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 5*u**2 + 3*u + 4. Suppose 57 = -3*s - 0*p - 4*p, 0 = s + 4*p + 27. Let c = s + 20. What is the units digit of q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:10 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2031410 - -30?\nAnswer: 2031440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -4)\/(1\/(-9)). Let v(i) = 23728*i**2 + 9*i + 22. Let y be v(n). Suppose -5*m + 11321909 = y. Round m to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 4*x - 11)*(28 + 2 - 139)*(-3*x**2 + 5*x**2 - 4*x**2) to t + f*x**3 + g*x**2 + z*x and give f.\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74536549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/7*(-637)\/(-91)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/((-1260)\/(-144))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*o = -1, 0 = 3*d + 5*o - 5 - 9. Let f = -3103\/16 + 194. Let m = f + -9\/16. Which is the biggest value? (a) d (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293020 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36381993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -3*a**2\/2 + 16. Let u(z) = z**2 + 4*z. Let b(t) = 4*k(t) + 3*u(t). Let c(g) = -g + 3*g - 3*g. Give c(b(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in 4, -0.3, 0.5, 0.23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114294463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -33*((-4)\/(-3))\/4. Let g = s + 74. Let p = -33 + g. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*42\/70?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 8. What is the nearest to 0.1 in 2\/9, f, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*j**3*r**2*y - j**3*r**2 + 13*j**3*r*y + 5*j**2*r**2*y + 5*j**2*r + 56*j*r**2*y - 2*r*y + 2 wrt j.\nAnswer: 888*r**2*y - 6*r**2 + 78*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, w: 5}. What is prob of picking 2 w?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -597 + 596. Is (-2 + j)*(4 + (-42284)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 11*c**4 - c**3\/2 - 147*c. What is the tens digit of q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/30 and 65\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -d + 29, -7*y = -3*y + d - 24. Let r = y + -3. What is the third derivative of -17 - 13*n**3 + 26 - 9 + 5*n**r wrt n?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 5 - -3 - (91 + -101)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3513, 7257, 11217, 15393, 19785?\nAnswer: 24393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:31 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175307*t**2 - 175307*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*q**2*t + 35*l**3*t + 31*l*q**2*t*y - l*q*t*y + 3*l*q*y + 3*q**2*y wrt q.\nAnswer: 4*l**3*t + 62*l*t*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/((1\/24)\/((-335)\/(-536)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 588 = 15*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104919 is divided by 16418?\nAnswer: 6411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = y + 83*j - 88*j, j - 5 = 0. List the prime factors of y.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -25. Let l(k) = k + 30. Let a(p) = 5*l(p) + 6*m(p). Let f(j) = -28*j**2. Determine a(f(o)).\nAnswer: -140*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -5, 2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*u**(27\/5)*u**(-24)\/(u**(5\/6)*u))**(-3\/28) assuming u is positive.\nAnswer: u**(283\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (115 - 111) + -3 + 4 + 4 + -21\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/30915293 or 0?\nAnswer: -1\/30915293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*w - 42244, 3*s - 21*w - 126768 = -18*w. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1860.958 + 1858. What is t rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (110\/11 - 10) + (-2)\/(-2). Let j(p) = -p + 1. Let z(w) = -w + 1. Let n(r) = 4*j(r) - 3*z(r). Let x be n(t). Solve x = -4*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 23281756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4 - 3*j - 3*j**2 + 2*j + 3. Let s(u) = 2*u**2 + u - 4. Let z = -2 + -1. Let x(d) = z*v(d) - 5*s(d). Solve x(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5430, 5436, 5446, 5460, 5478, 5500, 5526?\nAnswer: 5556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 802.079 to the nearest 10.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467 = -5*w - 422 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = -5680 + 5520. Let h(o) = 2*o**3 - 5*o**2 + o + 3. Let r be h(3). Put 1, r, 0, i in ascending order.\nAnswer: 0, 1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtjk when four letters picked without replacement from {o: 1, k: 1, q: 1, j: 1, t: 2, v: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h)\/h**(4\/5)*h**5*h**(1\/2)*h*(h\/(h**(1\/4)\/h)*h)**1\/(h**(-1)*h)**22 assuming h is positive.\nAnswer: h**(229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 24*k. Let t(l) = 3644*l**2 - 1. Calculate a(t(b)).\nAnswer: 87456*b**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, 1, -0.2, 0.12, 0.5 in ascending order.\nAnswer: -3.7, -0.2, 0.12, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6247 is divided by 892.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5*-777.6492\nAnswer: 3888.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5059, -5159, -5261, -5365?\n\"Answer: -t**2 - 97*t - 4961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + h + 3. Let n be l(-2). Let d = -5 - n. Let o(a) = a + 2. Determine o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**4 - 2*f**4 + 5*f + 2*f**4 - 4*f - 2*f + (2*f**2 + f**2 - 5*f**2)*(2*f**2 - 1 + 1) - 4*f**4 - 2*f**4 + 4*f**4.\nAnswer: -6*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276015 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512)*1 + sqrt(512))\/(sqrt(28)\/(sqrt(49)\/sqrt(7))))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14.5. What is w rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 405 + -414. Calculate the least common multiple of (1 - d - 3) + 0 + 1 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -a1?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2511, 4545, 6061, 7047, 7491, 7381?\nAnswer: 6705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*o + i, 229 = -o + 2*i + 117 + 113 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5 + 0 - 1 + 2 + (-2 + 4 - 1)*(4 - 3 - 2) + 3 - 4 + 3 + 1 + 2 - 1)*(2*t - 8*t + 2 - 16*t)*(-40 + 40 - 35*t).\nAnswer: 3850*t**2 - 350*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1080)\/(-11) - 2\/11 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-8) + 1\/(-4). Suppose 3*c = 6, 4*z = 2*c + 18 - 6. Is z at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 11411.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 931 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4344*m**2 - 4323*m - 21 = 0?\nAnswer: -7\/1448, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.103l to millilitres.\nAnswer: 179103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913*d + 370215 = -5139*d + 557*d for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 i when three letters picked without replacement from gggggpnigpgggg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11643905?\nAnswer: 5, 7, 13, 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607035*f + 309177*f + 297850*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.4 less than 3.5?\nAnswer: -50.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56661129*j**4 + 393678*j**2 - 5.\nAnswer: -1359867096*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*s**2 + 2*n*s + 32673*n - 160*s**2 + 2*s with respect to s.\nAnswer: 2*n*s + 2*n - 320*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17)*c*c*c*c*c\/c**(-3)*c assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 843*z**4 - 2*z**3 - 17*z**2 - 79921?\nAnswer: 3372*z**3 - 6*z**2 - 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 930810432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*z + 23, -4*g - 50 = -143*z + 138*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23626, 23659, 23704, 23767, 23854, 23971?\n\"Answer: w**3 + 26*w + 23599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 0*v + 22 = -3*v, 0 = 4*n + 5*v + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 5) to base 12\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 5*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0*w**4 + 0*w**5 + 0*w**6 - 25*w + 0 + 13\/6*w**3 + 0*w**2 + 25\/42*w**7. What is the second derivative of b(s) wrt s?\nAnswer: 500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/2 - 8*y. Let b(d) = 2*d. Calculate 10*b(i) + 6*c(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -17, -30, -43, -56, -69?\n\"Answer: -13*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73395, 146771, 220133, 293475, 366791, 440075?\nAnswer: 513321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215621031 + 71?\nAnswer: 215621122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 + f**2 - f - 2. Calculate the remainder when v(3) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 2*q**2 + 2. Let r be f(-2). Suppose 0 = -5*y + 10 + 25. Suppose -y*p = -3*p - 120. Solve -13 = -4*v - k, 0 = -r*v + 7*v + 4*k - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 4:23 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1207\/24 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183822 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 29918 = 127262. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -324*q**3 - 8*q**2 - 5*q. Let j(c) = 648*c**3 + 15*c**2 + 9*c. What is -11*i(l) - 6*j(l)?\nAnswer: -324*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 9. Let v(l) = -l**3 - 4*l**2 + 10*l + 7. Is v(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 511560*r**2 - 1. Let m(t) = 69*t**2. Give i(m(f)).\nAnswer: 2435537160*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*y + 15. Suppose -4*r + y = -r. Suppose 4*a - 35 = 3*q, 14*a + q = 12*a + 5. Solve -a*z = -r*x, -2*z + z = -5*x + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/h*h*h**19)\/(h**(-3)*h*h*h*h**(2\/39)) assuming h is positive.\nAnswer: h**(505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -6, -1, -4, -2 in decreasing order.\nAnswer: 14, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4222*q - 493428 = 2104*q for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*s = 82*s + 43710. Suppose -t + 3*f = -s, 9*f = -t + 8*f + 1457. List the prime factors of t.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190893 times -43.8?\nAnswer: 8361113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*d**6*v + d**3*v - 19*d**2*v + 2 wrt d.\nAnswer: -3840*d**3*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -272754 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/63 + 2*(-27)\/(-84)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101199980?\nAnswer: 2, 5, 7, 17, 101, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + o**2 - o**3 + 2*o - 5*o**2 + 3*o**2 in the form p*o**2 + i + t*o + j*o**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/3 - 82372*t**2\/3 - 1071512*t\/3.\nAnswer: 4*t*(t - 20606)*(t + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29344 and 1984?\nAnswer: 1819328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m + 4*v - 8, 0 = -3*v + 3. Suppose i = m*i - 12. What is the second biggest value in i, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.068 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 260431 (base 7) to base 11\nAnswer: 33273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9*f + 40. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.618 + -0.382. What is the biggest value in u, 10, 0.3, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*b + 8, 2*b - 3*j + 7 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9417371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 2*m**4 + 0*m**2)*(5 - 1 - 3)*(4 - 12 - 6)*(-m + 2*m - 3*m) + 1 - m**5 - 1 + (3*m**2 - 3*m**2 - m**2)*(0*m**2 + 0*m**2 + m**3).\nAnswer: -58*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 2*o, 2*o = -5*j + o + 14. Let x be (-3 - -3*j)\/((-6)\/(-18)). Suppose -54 = -6*q + x. Solve -3*y = 3*k + q, 2*y - k + 7 = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683 - 337 = -6*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 1) + -2 - (180 + -183). Put f, -3, 84, 2 in decreasing order.\nAnswer: 84, 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(21\/15) - -7. Suppose 0 - 1\/6*d**3 + 1\/3*d**g - 1\/6*d = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*1 - (-10 + 12). Solve -x + 0 = -g*q - 1, 5*x = -2*q + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694501463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7942 is divided by 99.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.971743 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**4 - 81389*b**3 - b**2 + 2416*b?\nAnswer: -168*b - 488334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 453 and 279.\nAnswer: 42129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 129. Solve 0 = -w - 3*t - 5, 4*w + n*t + 2 = -11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 8*g - 16*g + 4*g + 5*g - 30.\nAnswer: -g - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 4*y + 3. Let o be 14\/4 - 1\/(-2). Suppose -16 = 5*v + 3*i, 2 = -5*v - o*i - 11. What is the smallest common multiple of 22 and a(v)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -31\/6, -3?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i**2. Let a(h) = 50*h**2 - 97*h**2 + 46*h**2. Determine s(a(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -7 - (-2 + 0). Let d be 2 + (-1 - (-2)\/1). Let p be (-2)\/d - 3\/(-18). Put f, p, 3 in descending order.\nAnswer: 3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.60285 millennia in years?\nAnswer: 15602.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**3 + x**2 - x**4 + 20*x**3 + 2 + 2*x - x**2 as h + g*x**4 + z*x**2 + m*x + b*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-3)\/9 - (-15)\/(-9)). Suppose 26*q = l + 22*q + 24, 0 = 5*l + q + 15. Which is the nearest to h? (a) -6 (b) -0.4 (c) 4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:32 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*m + 0)*(2 + 0 - 4) + (-m - 2*m + m)*(0 + 2 + 0) + 3*m - 4*m - 7648 + 7681.\nAnswer: -15*m + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-78)\/(-12) + -2). What is the nearest to h in 2\/15, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 30430.\nAnswer: 91290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -481, -940, -1393, -1840, -2281, -2716?\n\"Answer: 3*z**2 - 468*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 less than 0.5?\nAnswer: 0.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 8\/(120\/435)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2 - 1\/1). Let x(w) = -w + 19*w**2 + w + m*w**2. Let b(d) = -d**2. Calculate x(b(i)).\nAnswer: 19*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 6*i**2 + 3*i + 6. What is u(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*j = 0, -4*b + 2*b = -4*j - 20. Suppose -3*l + 20 = 5, -b*m + 2*l = 0. Calculate the smallest common multiple of m and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472103 is divided by 2512.\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 19331787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -1\/3, -5\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = 4*l - 5*n + 52, 2*n + 6 = 0 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.43 (b) 0 (c) -3\/4486\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840 and 10248.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0*n**2 + 3*n**2 - 2*n**2 + 2*n - 3. Suppose -q - 2*w + 0 = -2, 2*q = 5*w - 23. What is the units digit of a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 8*t + 9*t**2 - 2 - 2*t + 4*t. Calculate the remainder when 40 + 0 + (-2)\/(-2) is divided by h(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from {i: 2, j: 1, y: 1, g: 8, f: 6}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 7*v**2 - 8*v + 12. Let p be b(-5). Suppose p*a + 10*a = 6*a. Suppose a = 3*m - m - 312. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 193 + 227. Let v be p\/(-10)*(-4)\/(-6). Let k(n) = v*n - 7*n**2 - 7*n. Determine k(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1764b4 + -1?\nAnswer: -1764b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153759547.\nAnswer: 131, 281, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -l + 2*c, 11*l - 16*l - c = 43. Let j(p) = -5*p - 8. Let t be j(-6). Let m = t - l. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2)*b)**(2\/3)*b*b**(-1\/2)*b\/b**5)**(-2\/85) assuming b is positive.\nAnswer: b**(7\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -217 - (2 - 2). Let k be b\/(-11) - 6\/(-33). Suppose 0 = -5*u + k + 25. Calculate the highest common divisor of u and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = -4*x + 3*t, -10 = -2*t. Calculate the remainder when 28 is divided by x\/((-1)\/2*-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*68\/(-24) + (-25)\/(-15) + -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286287 or -286286?\nAnswer: -286287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:14 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 - u**3\/6 + u**2 + 4*u. What are the prime factors of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyybaovwv. Give prob of sequence boww.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215*s = 14*s + 697*s + 123264 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123308113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/5))**(-7) assuming m is positive.\nAnswer: m**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64774 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h + 22390 + h - 22355 to y*h + c and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**5 - 2*q**5 - 2*q**5 + q**5 - 2*q**5 + (3*q**3 - 5*q**3 + 0*q**3)*(1 - 1 + q**2) + 4*q**5 + 13*q - 13*q - q**4.\nAnswer: -2*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 17*y + 45. Let v = 13 - y. Let a = v + -10. What is the remainder when 71 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*b**4 + (-b + 0*b + 0*b)*(0*b**3 - 6*b**3 + 4*b**3) + b**4 + 4*b**4 - 3*b**4 - b**4 + b**4 - b**4 + (51 - 12*b - 51)*(8*b**3 - b**3 - 3*b**3).\nAnswer: -47*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 284, 1071 in decreasing order.\nAnswer: 1071, 284, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -13*b - 490*b**2 - 5\/12*b**4 - 70\/3*b**3 + 3. Let i(z) = 0. Calculate z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2483 - -2479. Let z = -6 + 7. Which is the nearest to z? (a) -4\/9 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**3 - 62*m**2 + 117*m - 45. Let f(b) = -20*b**3 + 125*b**2 - 235*b + 90. Let c(g) = 3*f(g) + 5*j(g). Determine x, given that c(x) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/588*-7*(-14)\/(-20).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27124439.\nAnswer: 487, 55697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**4 - 360*y**3 + 8100*y**2 = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*d - 3*d**2 - 404*d + 7 - 33 as z*d + t + i*d**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20594540.\nAnswer: 2, 5, 31, 59, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-10)*(-175)\/15. Let u be f*(-2)\/(-8) - 2\/(-4). Solve -2*d = -2*q + 14, 0 = u*q - 9*q - 4*d - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-5*(0 - -1). Let a(t) = t**2 + 5*t + 2. Let g be a(w). Suppose r - 8 = -v, -2*v + 13 = 6*r - 5*r. Solve -g = -5*o + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:54 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o*x**6 - o*x**3 + 337*o*x**2 wrt x?\nAnswer: -480*o*x**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 - 102. Does 23 divide -318*(-12)\/(-36)*c\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, 227, 1 in increasing order.\nAnswer: 1, 2, 10, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 657 - 788.8. Let g = h + 14.4. Let s = g - -104. What is s rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164088*t + 64 = -x + 164086*t, -64 = x + 6*t for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16*(-4)\/6)\/((-1)\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41\/2 + -367\/18. Let v = 1.2 + -1. Let j = 33 + -32.7. What is the second biggest value in b, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 (base 12) in base 5?\nAnswer: 11134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140*u**3*v - 38*u*v - 290204*v wrt u?\nAnswer: 420*u**2*v - 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = -1. What is the units digit of ((-7)\/21)\/(2\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010717830 rounded to the nearest 100000?\nAnswer: -1010700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/185)\/((-18)\/(-20) - (-28)\/(-56))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 66 = 5*m, 4*f - 16 = 0. Put 0, 5, m in decreasing order.\nAnswer: m, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 21 = 83. Let b be (y\/28)\/(10\/(-28)). Suppose 0 = -4*t + 5*t. Put b, -2, t in decreasing order.\nAnswer: b, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 1\/2*g**4 - 16*g - 12*g**2 - 8.\nAnswer: -(g + 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10614552 divided by -102063?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -315897?\nAnswer: 315896.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swjwsqss. What is prob of picking 1 q and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -25*y**2 + 13*y + 5. Let o be m(-4). Let f = 315 + o. Let c = 113 - f. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.320996 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448871911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = -0. Suppose -y*f = 1 - 13. Suppose -f = 3*r - 15. Solve 5*x + 1 = -r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1. Let w be 1\/(-3 - -2) - -4. Let d(t) = -2*t - w*t - 3 + 10*t - 8*t. Determine d(s) - 3*q(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70\/3 - -24. Let f = 6 - 6. Let h = f + 5. What is the closest to 1\/4 in h, 4\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a - 2*s = -2, -5*a - 14 = -3*s. What is the nearest to a in 0.5, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/120 + 4*c**5\/15 - 4*c**3\/3 + 9*c**2. Let d be k(13). Suppose -83 + d = 4*z. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x*x*x)\/x**(-4)*(x**4\/x)\/(x\/(x*x**(-4))))\/((x**(-3)*x\/x**(-2))\/((x\/x**(-2))\/(x*x*x**(1\/4)*x))) assuming x is positive.\nAnswer: x**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*(3\/(-8))\/(102\/(-2380)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f = 167*f - 1576 + 340. What is the greatest common divisor of 516 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1824, -0.3, 4, 2 in descending order.\nAnswer: 1824, 4, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 3*x. Suppose -p = p + 2. Let w = x + p. Solve 0*q - w = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 3. Let l(g) = -g - 2. Let u(z) = -4*l(z) + 3*o(z). What is u(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, -1, 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 + 2 - 1 + 12*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -2. Let t = -11 + a. Let k(m) = 3*m**2 - m - 2. Let h(y) = -y**2 - y + 1. Let s(g) = t*h(g) - k(g). What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(0\/(-5))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 8 = -3*w - 3*n, -4*n + 7 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -3 + 0 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((sqrt(1375) + (sqrt(1375) + sqrt(1375)*-1 - sqrt(1375)))*6)\/((sqrt(44) - sqrt(11))*6 - (sqrt(99) + sqrt(99)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*g**2*y**4 - 46*g**2*y**3 - 30349*g**2 with respect to y.\nAnswer: -236*g**2*y**3 - 138*g**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*f = -42, -f - 38 = 4*s - 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*f - 5, -2*v - 3*v = -f - 6. Suppose 4*x - 5*w + 7 = 0, 12 = 5*w - w. Let m be (4\/25)\/(x\/5). Which is the biggest value? (a) 3 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -195 - 133 - 24*o + 227. Let s be l(-4). Which is the third biggest value? (a) 0.2 (b) s (c) -0.05 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/9 - 4*f**3\/9 - 2*f**2\/3 + 16*f\/9 - 8\/9 = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/12121972 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 7.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-8)*134\/(-6365). Sort q, 9, 0.23 in ascending order.\nAnswer: q, 0.23, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m. Let b be 36284\/(-93060) + (-2)\/(-5). Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*f + 18*f - 392 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74037 and 2967.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -37. Let r be (-1 + j)*(3 + -2). Let b(g) = g**2 + 3*g + 7. Let l be b(r). Solve 4 = 2*i + 5*c, -5*i - 4*c - l = -5*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8721\/(-35190) + (-4)\/(-10))*(9 - 639\/63)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38759 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.294701614*-3\nAnswer: 0.884104842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8263.\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from odaup.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4186 and 191\/4368.\nAnswer: 100464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*t**3 - 11*t**3 - 2)*(285 - 597 + 290).\nAnswer: 132*t**3 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6200?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 8*h + 18*h - 17*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 2. Let y(j) = -2. Let d(k) = f(k) - 4*y(k). What is d(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46944 + 38657 - 8966 = 8515*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3796 = -2*a + o, -5*a + 10*o = 7*o - 9491. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/j**(1\/4)*j))**20\/(j**2*j)**(2\/39) assuming j is positive.\nAnswer: j**(-197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 2. Let v be s(6). Suppose 0 = -v*j - 3*l - 80, 2*j - 2*l = -6*l - 50. Let y = -11 - j. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*j**3 - 47*j**2 + 4*j - 56133 with respect to j.\nAnswer: 195*j**2 - 94*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 - 141. Suppose -16*l = -18*l, r*d - 30 = 5*l. Solve -d = -5*t + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k + 5. Let b(r) be the second derivative of -r**4\/12 + r**3\/6 - r. Calculate b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4364 and 8.69?\nAnswer: 8.2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*y + 68*y + 68016. What are the prime factors of y?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138431126 a multiple of 4125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.035 (c) -2\/3 (d) 0.2 (e) -2\/649 (f) 1 (g) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48908050 and 30.1.\nAnswer: 48908080.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(1008)*4 - (sqrt(70) - -3*-2*sqrt(70))\/(1*sqrt(160)))**2.\nAnswer: 37320367\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 13*k + 32. Let i be f(-10). Is -0.93 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 21*f**2 + 48*f**3 + 8*f - 20 - 49*f**3 + 21. Is u(21) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14154 and 141540.\nAnswer: 141540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + -1 - sqrt(4)\/(sqrt(2) - sqrt(18)).\nAnswer: -1 + 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886248367.\nAnswer: 1886248367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -35*g**4 + 90*g**3 - 175*g**2 + 100*g. Let w(a) = -11*a**4 + 30*a**3 - 58*a**2 + 33*a. Let i(u) = 3*d(u) - 10*w(u). Factor i(q).\nAnswer: 5*q*(q - 3)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.3. Let n = -547.1 + 547. Let x = o + n. Sort 3, 0.5, x.\nAnswer: x, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720014815.623 plus -57?\nAnswer: -720014872.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 5. Let r = -5 - i. Let h = 10 + r. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 10. Let c be n(7). Let p(s) = 6*s + 1 - 3*s**2 - c + s**2 + 6. Let h = 4 + -1. Let z(r) = 2*r**2 - 5*r - 3. Calculate h*p(d) + 4*z(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let g be t(-1). Let u be -5*1*(g - 2). Suppose -u*j - 2*k = 75 - 362, -4*k = 16. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001938 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 314786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - 3 - (-4 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -2\/181 (b) 6 (c) 0.3 (d) 2\/17 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + 3*h + 1. Let v(f) = f**5 + 35*f**4 + 119*f**3 + 97*f**2 - 152*f - 132. Let r(b) = 24*d(b) + 3*v(b). Find u such that r(u) = 0.\nAnswer: -31, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.679 - -6.670273. Round n to 4 decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 2*d**2 + 5*d**2. Let t(k) = -204*k - 2 + 204*k - k**2. Let j(w) = w**2 - 1. Let v(s) = 2*j(s) - t(s). Give v(h(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9950964.\nAnswer: 2, 3, 233, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwxxxwxxx. What is prob of sequence xxx?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let j(d) be the second derivative of -2*d**2 + 0 - 26*d + 1\/2*d**3. Calculate z(j(t)).\nAnswer: -6*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*-3.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -8. Sort -1\/5, -1, x in descending order.\nAnswer: -1\/5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z - 5. Suppose 2*a + 12 = 5*i - 22, -i - 5*a = 4. Let w be i\/3 + -1 - -4. Give r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 j, and 1 v when four letters picked without replacement from {n: 1, v: 1, d: 1, r: 1, t: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-56)*(-3 - -2)*2. What is the third smallest value in k, 2\/13, -1, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (2 - (5 + -3))) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5447041 (base 9) to base 11\nAnswer: 1718486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/200)\/((-9477)\/(-8424))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -25*b**4\/24 + 3*b**2. Let u(n) = -n**2 + 54 + 62 - 116. Determine u(i(q)).\nAnswer: -625*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d**2 - 36*d - 2*d**3 + 40*d**2 - 19*d**2 - 13*d**2 to the form r + c*d**2 + g*d + q*d**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*l - 215*l = -222. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*((1*sqrt(72))**2 + sqrt(72) + 2 - sqrt(72) - sqrt(72)) - -6*(sqrt(72) + 4*(sqrt(72) + -1) + sqrt(72))).\nAnswer: -1032 + 1368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*4*-2 + sqrt(65) + -6*sqrt(65)*-4 + sqrt(65) + sqrt(65))\/(3*(sqrt(500) - -6*(3*sqrt(500) + sqrt(500)))).\nAnswer: 19*sqrt(13)\/750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (3 - 10))\/(5\/750).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/6 + 52520*u. Let q(p) = -p**2 - 3*p + 5. Let g(k) = -2*k**2 - 2*k + 6. Let x(n) = 3*g(n) - 2*q(n). Determine a(x(v)).\nAnswer: -4*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.222581 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -47. Let k be (j + 0)*(-8 - 9). Let o = 18 + k. Solve -o = 5*l - 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and -3682.\nAnswer: -139916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 5, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(4 + -7))\/(-1). Let k(w) = -2*w**3 - 7*w**2 - 4*w - 2. Let s be k(-7). Suppose h = -o - 2*o + s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263640.11 - -6390.\nAnswer: -257250.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -18 - (-5 - -18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + -44?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -3. Let b = 11 + t. Suppose b*k - 2 = 3*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13235300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/32*2*(-1)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -35.2. Let q = 0.2 + -0.1. Sort l, q, -2.\nAnswer: -2, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(475) + sqrt(19) - (4 + 2 + sqrt(19)))**2.\nAnswer: -240*sqrt(19) + 7636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*q - 39 + 62, -k + 5 = -3*q. Sort q, 5, 97 in increasing order.\nAnswer: q, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 27*u - 9. Let y(q) = -q**2 + 3*q - 1. What is 6*y(r) - z(r)?\nAnswer: -4*r**2 - 9*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.7 + -46.8. Let q = f - -64. Let t = -4 - -3. What is the second smallest value in t, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5166?\nAnswer: -1\/5166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) + ((sqrt(1452) - -3*sqrt(1452)) + -1 - sqrt(1452)) + sqrt(1452))*2 + -3)**2.\nAnswer: -2200*sqrt(3) + 145225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 1 - (16 - (-1 + 13))) + -21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34501 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -14*m**2 + 13*m**2 + 3*m**2. Let s(b) = b + 1. Let j(l) = 25*l**2 + 2*l + 2. Let t(d) = -j(d) + 2*s(d). What is o(t(x))?\nAnswer: 1250*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1724416311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.35 - 10.3499992285. What is n rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 - 450 = 29*l + 715 - 49 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 17. Suppose 0 = 4*f - a + 15, 3*a + 0 = 4*f + 5. What is the units digit of i(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(92\/(-30))*(7052\/410 - 18).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 18. Let v = -16 + 16. Let d be u(v). Calculate the highest common divisor of 180 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -450217 + 510?\nAnswer: -44a807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 1 - (-3236 + 3138)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**4 + 47\/4*l**3 - 86400 - 18*l**2 - 7344*l.\nAnswer: (l - 25)*(l + 24)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 4*q - 6. Let s be d(-5). Let m be ((-1)\/s - -1) + -6. Sort -2, 2, m in decreasing order.\nAnswer: 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 29 = -3*o. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 751 + -787.1. What is y rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13554 divided by -6.\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t - 74*t - 48 = 4*i, -2*t = 3*i + 36. What is the nearest to 0.1 in -7, 3, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/5 - w**2. Suppose -697 = -9*x + 311. Let t(l) = 112*l**2 + x*l**2 - 227*l**2. Give v(t(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.45 (b) 5 (c) -0.47 (d) -3 (e) -3\/7 (f) -0.041\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*n - 2. Let v = 21 + 32. Suppose -3*l = 2*l + 3*r - v, 5*r + n = -l. What is the highest common divisor of 91 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/23)\/(j*j**12*j))**1 assuming j is positive.\nAnswer: j**(-321\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/15, -0.17, -1\/8, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 0.18. Let d(z) = -z**3 - 6*z**2 - 6*z - 5. Let t be d(-5). What is the second smallest value in w, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = 0, -3*r = 4*j - 0*r - 61. Let h = j - 19. Is -4 - (2 + h) - -91 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -490*h + 487*h - m, 0 = 3*h - 3*m - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 784.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10692 divided by 6\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/2 - 6*p**4 - 37*p**3\/2 + 62*p**2 + 18*p - 56 = 0 for p.\nAnswer: -4, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1252415km in nanometers?\nAnswer: 125241500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:41 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -25, -185, 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 46 = -0*i + i, -42 = 3*i - 3582*q + 3561*q for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/107, -0.2, -52 in ascending order.\nAnswer: -52, -0.2, -18\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 3:01 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 110?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48515167 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 595*h**2 + 17185*h - 1998. Give n(-29).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-9 + 1)) + 4 + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -13*t - 8*t. Let n be t*(-3)\/(-6) + -10 + 16. Solve j = -j + n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20162860.\nAnswer: 2, 5, 919, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -21*b + 9*b. Calculate the common denominator of 154\/(-36) - (8 + b) and 55\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491 is divided by 939.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**6\/2 - s**3\/3 + 4. What is the third derivative of v(x) wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11189332 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Let g be q*3\/3 + 5. Let h(x) = 111*x - 1. Let z(o) = -556*o + 11. Let n(d) = 5*h(d) + z(d). Calculate n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -17. Suppose z = -7*h - 0*h + 28. Suppose -5*t = -h*m + 557, 4*m - 5*t + 2*t = 563. Calculate the greatest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-9)*(-513)\/171?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-193)\/3281)\/((-2)\/(-34))*-25. Let l(i) = i + 11. Let p be (70\/8)\/5*-4. Let w be l(p). Solve -3*q = w*z + c, q - z + 0*z = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 9, r: 1, v: 4}. Give prob of picking 3 v and 1 m.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d + 4*m, 0*m + 6 = 4*d - 2*m. Let p be (d + -4)*1*89. Let i = -57 - p. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.195651 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 11*p - 6. Determine o(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 51969573073.\nAnswer: 51969573075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52705611 divided by -3.\nAnswer: -17568537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (9\/72 - 27\/(-16)*-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1255357 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042240 is divided by 28158.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from uussuvpspssunsd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*c - 2 - 258 = 0. Solve c*k - 27 = -5*u, 5*k = -4*u + 3*k + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 11. Let l be r(-8). Suppose -9*g - l = -0. Sort 0.3, g, 4 in increasing order.\nAnswer: g, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41041135012 + 1?\nAnswer: 41041135013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 3:57 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -2*g. Let a(q) = 3*q**2 + q - 1. Let r be a(g). Suppose -r*o + 7 = -20. Calculate the remainder when 35 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4666, 4593, 4520, 4447?\n\"Answer: -73*q + 4739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupuufz. Give prob of sequence pfp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, z: 1, x: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.1, -274, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - s = 2*s + 160, -2*g - 4*s = -102. Find the common denominator of (4 + 85\/(-20))*g and -61\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/5 + 1496*y**3\/5 - 10094*y**2 - 564608*y\/5 - 102528 = 0.\nAnswer: -8, -1, 45, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**2 + 1\/6*y**3 - 13*y + 1\/3*y**4 + 6. Let q(x) be the first derivative of r(x). Give q(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 10 (c) 2.99 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - b + 270 = 0. Let j = 84 + b. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 6 + 0*z**3 + 0*z + 17\/2*z**2 - 8*z**4. Find the second derivative of k(n) wrt n.\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*j*m**2 + 386*j*m + 3*j - 538266*m**2 wrt j.\nAnswer: 8*m**2 + 386*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38333*x + 38375*x - 798 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 16, i: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 190*v - 1515. Give d(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + -10 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 176635.186 and -17.77.\nAnswer: 176617.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1237829*s**5 - 27302*s**2 - 4*s + 1?\nAnswer: 74269740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 + -213. What is the highest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 43330584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -810487, -810329, -810169, -810007, -809843?\nAnswer: -809677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*g**3*w + 131803*g**3 - g**2*w + 6829719*g**2 wrt g?\nAnswer: 366*w + 790818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = -3*m - 6, 4*m + 2*s = -2. Suppose m*d + 0 = 4. Suppose -2*y - d*y + 108 = 0. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528396044?\nAnswer: 2, 19, 43, 773683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**(-29))**(1\/4) assuming r is positive.\nAnswer: r**(-29\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3805284 and 28539630.\nAnswer: 57079260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31284 and 7752492?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m - 20*m - 8*m + (-1 - 2 + 2)*(-3*m + 3*m - 2*m) - 209*m - 155*m + 250*m.\nAnswer: -148*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4575840 plus 12.4?\nAnswer: -4575827.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -62*y + 9. Let f be (26\/(-4) + -3)\/(3\/6). Is v(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/3))\/u)\/u**8 assuming u is positive.\nAnswer: u**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -2. Let z(r) = r**2 + 5*r + 4. Let y be z(t). Suppose 0 = -4*o - y, 0*o = 4*d + 2*o + 28402. Round d to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 14*q**2 - 4*q + 2. What is the tens digit of f(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003506 rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(20) - sqrt(5))*-5 + -3 + sqrt(30)\/(sqrt(6) + sqrt(150)) + -4.\nAnswer: -29*sqrt(5)\/6 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 435 - 435. Find the third derivative of 4*h**6 - 3*h**5 + c*h**5 + 15838*h**2 - 15917*h**2 wrt h.\nAnswer: 480*h**3 - 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-6)*(-8)\/6. Let b(u) = u**3 + 3*u - 1. List the prime factors of b(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*p - 4*j, -4*p - 729 = 5*j - 778 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772041.\nAnswer: 3, 23, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15163 + -15161. Which is the nearest to q? (a) -1\/2 (b) 1 (c) -3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314647 (base 9) in base 10?\nAnswer: -187153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + (5 + -10 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1250480 divided by 784.\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 3. Suppose -1 - 19 = -4*v. Let h(r) = -2*r**2 + 2. Let b(l) = v*u(l) + 7*h(l). Factor b(f).\nAnswer: (f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Suppose -248 = 3*c + 148. Let h(b) = -20*b - 22. Let d(p) = c*j(p) + 6*h(p). Let a(o) = 3*o. Determine d(a(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let f(y) = -93919939*y**2. What is f(n(h))?\nAnswer: -93919939*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 23 = 8*s. What is the second smallest value in -0.7, s, 7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.44 + -0.6. Let g = 444 - 444. Sort a, 0.2, g.\nAnswer: a, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6012 and -113\/360.\nAnswer: 60120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k - k**2 + 5*k - 2 - 5*k - k**3. What is g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 3*m**2 - 5 - 2*m + 12*m**2 + 6*m. Let k be (-8)\/(-10) - (-3 + 20\/25). Let a(r) = 16*r**2 - 58 + 4*r - k*r**2 + 51. Determine 5*a(u) - 7*s(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 6235 = 201*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 3*t - 1. Let q be i(2). Let r be 0\/(-1*(3 + -6)). Suppose r = -4*v + 2*h + 20, -10 = 2*v - h + 5*h. Put q, v, -1 in decreasing order.\nAnswer: v, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4040 (base 14) to base 13\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and 0.0125?\nAnswer: -0.02625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3383576 > -3383602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 89. Factor -3*s**y + 3\/2 - 21\/4*s.\nAnswer: -3*(s + 2)*(4*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from {c: 1, l: 4, m: 7, o: 2, s: 1}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 - 45*u**2 + 42*u**2.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 3*v + 32. What is g(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/99*13\/(-4) - 3.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156064 = -2*v - 0*w + 2*w, v = 4*w - 578044. Let t be 2\/5 - v\/55. Let z = t + -168215\/16. Find the common denominator of z and -61\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49854356987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 6.6, 0.2 in ascending order.\nAnswer: 1\/7, 0.2, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 3, -6, -11, -6, 15, 58?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/105222 and 34\/4047.\nAnswer: 105222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 24*c**2. Let u(t) = -20*t**2 + 25*t - 75. Let n(z) = z**2 - z + 3. Let d(b) = 25*n(b) + u(b). Calculate y(d(w)).\nAnswer: 600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = 2*q - 3*j, -5*j = 5*q - 35. Calculate the highest common divisor of 54 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351 + -143. What are the prime factors of (-104)\/26 + 0 + s\/1?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113343 + -423413?\nAnswer: -310020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 201*f**3*x**2 + 144*f**3 - f*x**4 + f with respect to x.\nAnswer: 402*f**3*x - 4*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 106369.\nAnswer: -2\/106369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9709*h = -9870*h + 15456 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2020111111212 (base 3) to base 13\nAnswer: -329045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -5*c**3\/6 + c**2\/2 + c. Let s(m) = m. Give -f(t) - 3*s(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 6:47 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1336 = 21*s - 13*s. Let x = -1001\/6 + s. Factor x*l**3 - 2\/3*l + 1\/6*l**4 + 4\/3 - l**2.\nAnswer: (l - 2)*(l - 1)*(l + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 9*d + 12. Let a = 63 + -55. Let j be v(a). Find the first derivative of 24*m**j - 765*m + 765*m - 3 wrt m.\nAnswer: 96*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434524957 by -3.\nAnswer: 434524957\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:10 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972838374.\nAnswer: 2, 3, 59, 2748131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 87*w + 361*w.\nAnswer: 448*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20415 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3442 + 752*p**3 - 3442)*(-1 - 4 + 6) as t*p**3 + w*p + r + n*p**2 and give t.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 35*f**5\/3 + 92930*f**4\/3 + 20548585*f**3 - 52920800*f**2\/3 - 8817920*f\/3 = 0.\nAnswer: -1328, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - w**2 - w - 2. Let d be y(-2). Let z be (-9)\/(-4) + (-5)\/d. Suppose -z*c + 3*c = 0. Sort -3, c, 1 in descending order.\nAnswer: 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6*9*(31717\/(-6348) + 5). Let z = 0.9 - 1. Is r greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 3*u + 21 = 61, -4*s + 3*u = -28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:34 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 2*u + 4*u + (-1 - 4 + 3)*(u + 3 - 3) - u - 5*u + 2*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-20))\/((-2)\/(84\/3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + k)*(0 + 3 - 5) - 2*k - 2*k + k - 14*k - 78 + 15 - 27 - 45.\nAnswer: -13*k - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 101\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 6*v**2 + 7*v - 14. Let z be a(5). Solve 0 = -2*s + o + 3, -z*o + 3 = -s - 41*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 6, -1, -0.07?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - (0 - -6))\/(10\/2). Let q = 17.8 + -17.8. What is the nearest to q in o, 4, -1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 20. Suppose -2*f = 4*m - 14, f + 10 = x*m + 3*f. What is the second derivative of 9*v**5 + m*v - 2*v + 3*v**5 - 3*v**5 wrt v?\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -5 - (-8 - 0) - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 518\/18 - (-4)\/18. Let k = s + -19. Let v = -135 - -146. Calculate the lowest common multiple of k and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2230 - -2249. Put g, -4\/7, 5 in descending order.\nAnswer: g, 5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)\/(f*f**(-26)\/f*f))**(2\/11) assuming f is positive.\nAnswer: f**(197\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i**2 + 4*i + 2. Let p be (-19)\/3 - (-8)\/(-12). Let w = p - -5. Is l(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - 7*o**3\/3 - o**2\/2 + 7*o - 18. Find w such that i(w) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -3, -684, 5, 4 in decreasing order.\nAnswer: 6, 5, 4, -1, -3, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = -69. Suppose q - 91 = -2*b, 4*q + 5*b - 211 - 156 = 0. Suppose p - q = -i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 19 - 11*a + 2*a**2 - 7. Let x be c(9). Is x bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:21 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*5*((-11880)\/(-1089) - 11)\/((-1)\/11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 4. Let j be (2\/1)\/((-2)\/(-5)). Let f be x(j). Suppose 0 = 5*c - 5*a - 5, a + 9 = -f*c - 7. Let g(y) = -y - 2. What is g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -242723055 and 0.0471.\nAnswer: -242723054.9529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -37. Let j be (-15)\/10*z\/6. Let x be (0 - -2)*-1 - -42. What is the greatest common factor of j and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23420 smaller than -23662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 6*p = 37. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881*z + 13*z + 10*z = 68317 - 5941 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98266 - -12971245\/132. Calculate the common denominator of -17\/33 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 41, 0.08, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 0*m - 16 = -m, 3*b = -m - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 1 - (31 - (8 + 2) - 26).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.12999526 - -1.13. Round v to 7 dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44712234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*f + 17. Let v = 312 + -208. Suppose v = 5*m - s, -3*m + m + 60 = -5*s. What is the greatest common divisor of m and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*r. Find o such that -3*o**5 - 14*o + r*o**3 - 6*o**2 + 6 + 5*o + 9*o**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 24031911?\nAnswer: -5\/24031911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 3 = -12*m, 5*y = -m - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:48 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/5 - (-2 + 2). Let k = o - 0. List the prime factors of (0 + -3)*16\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -21*c**3 - c**2 - 3*c - 1. Let r(n) = n**3 + 4*n**2 + 9*n + 69. Let t be r(-5). List the prime factors of m(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose 5*o - 4*f - 56 = 0, 4*f + 5 = o - a. Suppose 78 = 2*n + 2*n + 2*y, -o = -4*y. Solve 0 = 4*z - 3*z + 3*q + n, 0 = -4*z - q - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13833*w + 116045 = -340444 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 3*a - 4. Let x be b(4). Let r = x + -8. Let g = r - 24. Solve -1 = i - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-30 - -41) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + -83. Let u = 171 - c. What is the remainder when u is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23, 0.03, -3, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15650369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*n**3 - 2*n**2 - 170*n wrt n?\nAnswer: 1392*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9932086.\nAnswer: 2, 41, 121123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.24048541 + -18.155668. Let y = b - 40.08548741. Let o = 40 + y. Round o to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001973 (base 13) in base 14?\nAnswer: -8da605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.13 (c) -1\/4 (d) 413158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 533.8528911 to 2 decimal places.\nAnswer: 533.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.3 + -2.3. Are w and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2049 + (-2)\/(1 + 1). Let a be (y\/15)\/((-1)\/3). What is a rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2145194*k**2 - 648139 with respect to k.\nAnswer: -4290388*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 32 = 28. Let b be 1\/4 + (-12)\/(-16). What is the second smallest value in n, b, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-2*3\/4). Suppose 4*w = d*w. Does 18 divide 36 + (-1)\/(-2)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 446 and 1927.\nAnswer: 859442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 423, 658, 987?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 g when three letters picked without replacement from {m: 1, f: 4, g: 5, h: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/7515 and 87\/40?\nAnswer: 60120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*1)**2*-4.\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 106. What is the second derivative of -8*h**2 + 9*h**2 + 2*h - o*h**2 - 12*h wrt h?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -2 + 7 + 0 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.2 (c) -5\/4 (d) -7 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28601 + -14892. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520512 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -x + 4*s, 0 = 4*x - 3*s + 2*s - 15. Let n be (-1)\/(1\/x)*4\/(-10). Solve 2*t - 5*b = 3, t - 3 = n*b - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905.8884cm to nanometers.\nAnswer: 9058884000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 5) to base 11\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 103 = -58 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-3) - (-3 + 128\/20). Is j <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88461222\/5 at most 17692244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 3*v)*(2*v + 2*v - 6*v)*(-4*v - 2*v - 2*v).\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 11.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*j, 0 = 8*j - 10*j - 0*j - 4*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 2*d**2 + 18*d - 11. Let l be (1 - 0) + 1*(-16)\/(-4). Let f be r(l). Put 0, -5, f in ascending order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 8) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*n = -2, -2*x = -2*n + 5*n - 1. Solve 0 = 3*z - z + x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + (-48)\/(-21). Suppose 2*k - 6 = -4*u, 7 = k + w*u - 4*u. Let z(c) = -c**2 + 5*c - 5. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-15)*(-4)\/((-40)\/25). What is the closest to 2 in 0.6, y, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 1442 + (9 - 5)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*f + 11 = 5*f, 0 = 5*f - 20. Put r, 1, -3, -2 in decreasing order.\nAnswer: r, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 14}. Give prob of picking 1 g and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 6*j**2 + 2*j**2 + j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i. Let l(h) = -4082*h. What is b(l(j))?\nAnswer: 12246*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6019041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (9 + -2 + -5) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32023 (base 5) to base 16.\nAnswer: 85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(4\/7)*f)*f**5\/f)**(-19) assuming f is positive.\nAnswer: f**(-456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s - 4 + 3 - 6 - 3. Let t be w(-3). Let j = 6 - 0. Solve 4*d = 2*x - t, -j = 2*d - 2*x - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089*l**3 + 131*l**2 - 1089*l - 131 = 0. Calculate l.\nAnswer: -1, -131\/1089, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.2. Suppose -47*k + 5*k + 33 = 159. Which is the closest to 0? (a) n (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 541643.4 minutes?\nAnswer: 376.14125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:12 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 4 + 18 + 4 as b*v**2 + j*v**3 + t*v + m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -q + 3*d, 95 = -5*q + 5*d + 550. Let o be q\/(-6)*14\/6. Let s be 28\/o*-1*5. Solve -2*z = 5*f + 13 + 3, 3*f = -s*z - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(77) + (sqrt(77) - -2*sqrt(77) - sqrt(77))*5 + sqrt(77))*2)\/((-4*-2*sqrt(77))\/sqrt(7)).\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/2 - -8*(-10)\/20. Let j(i) be the second derivative of -i**3\/3 - 2*i**2 + 2*i. Give j(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 439*l - 45159. Give s(-525).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*-1*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 65\/20)*0. Suppose a = f - 2 - 0. Solve -f*o - 6 = -4*l, o + 0 = -l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 52, 80, 116?\n\"Answer: 4*u**2 + 8*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.4052km in nanometers?\nAnswer: 41405200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1105, 1826, 2547, 3268, 3989?\n\"Answer: 721*r + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/7 - 53\/28. Let c = 139 - 138.7. Do c and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37904)\/(-1236)*9\/(-12)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1593376 + -7?\nAnswer: 1593369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:41 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.6929t to milligrams.\nAnswer: 533692900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -160 + 55121?\nAnswer: 54851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbbb when four letters picked without replacement from zzzzzzzzzzbbzbzz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 8*m**2 - 5*m + 7. Let j be s(7). Let b be (3 + j\/(-6))*-4. Let y(f) = 2 + 2*f - 2*f + 3*f**2 - 2*f**3 - 3*f. What is y(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 44*d**2 - 3*d - 42. Let z(c) = 132*c**2 - 8*c - 124. Let t = 169 + -177. Let s(a) = t*q(a) + 3*z(a). Find the first derivative of s(o) wrt o.\nAnswer: 88*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52438.26753 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from oksir.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 2251863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 2*y**2 - 2*y + 3. Calculate r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1233, -1681, -2141, -2619, -3121?\nAnswer: -3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39891 and 852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -8698 (c) 2 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 412454 equal to 412456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + z - 17 = 2, t = -2*z + 17. Calculate the least common multiple of 6 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623612*n**3 - 19*n**2 - 4341010*n wrt n.\nAnswer: -3741672*n - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 59. Is l(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 23*t - t**2 - 47*t**3 + 6*t + 6*t.\nAnswer: -47*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 154.3 and 4.\nAnswer: 158.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 6*v + 3. Let f be d(-6). Solve 3*i = -2*j - 2*i + 16, f*j + 14 = 2*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4777*v**2 + 709*v - 2. Let d(p) = -28661*p**2 - 4198*p + 13. Let a(q) = -2*d(q) - 13*m(q). Find the second derivative of a(x) wrt x.\nAnswer: -9558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 12:21 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 9600?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 792155346 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1880*v + 3022*v + 434769 = -1399*v for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35473 is divided by 8863?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*89.\nAnswer: 4361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53*i**3 - 1214 - 2*i**4 - 341*i**3 + 346 - 6*i**4 + 3*i**4 wrt i?\nAnswer: -20*i**3 - 864*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/11 + 40\/(8360\/9329) - (-3 + 1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1208091, 2416178, 3624265, 4832352, 6040439, 7248526?\n\"Answer: 1208087*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 - (-1 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3320 and 0.1.\nAnswer: 3320.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 4*a + 8. Let m be o(-10). Calculate the greatest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 3*d - d)*(5 - 4 + 7)*(-2 + 5 - 4)*(-d**2 + d**2 - d**2) to the form o*d + k*d**3 + q*d**2 + j and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285900 and 32?\nAnswer: 2287200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 + 5. Suppose v - 2*h = 13 + 7, 0 = -3*v + h + 35. Let f be n(v). What is the smallest common multiple of 2 and ((-8)\/f)\/(2\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - j = -3*a - 11, -15 = -4*a - j. Let m be 2\/a*(-16)\/(-24). Factor m*w**2 - 1\/3*w + 0.\nAnswer: w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -0.25853.\nAnswer: -0.55853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38923 and 0.4.\nAnswer: -38922.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + j)*(-1 - 2 + 1)*(0*j**2 - 2*j**2 + j**2) + 271*j**3 + 418*j**3 - 510*j**3.\nAnswer: 185*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961 = 25*y - 386 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102121220 (base 3) to base 10.\nAnswer: -8475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = w - 5*w. Let x = 43 - w. What is the lowest common multiple of 10 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2163)\/103)\/294*(-14)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*x + 3*t + 5 = 0, -2*x - 2*t = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 6}. Give prob of sequence yy.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -690207\nAnswer: 690207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10239351.\nAnswer: 3, 109, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4\/3 + 27380*s**3\/3 + 27365*s**2 = 0 for s.\nAnswer: -5473, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -136.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 313858*a - 627704. What is f(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107321.\nAnswer: 17, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*r + 4, -2*p + 3*r + 0 = 5. Suppose 24 - 172 = -p*l. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*l**3 + 10*l**3 + 103*l**3)*(l**2 - l + l) + 5*l**5 - 3*l**5 + 0*l**5.\nAnswer: 64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2248\/5, 10, 4, 8, -0.1?\nAnswer: 2248\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1\/g))**(2\/5)*g**(-1\/7)\/(g\/g**4))\/(g\/(g**(-4\/9)*g)*g\/g**(-1\/5))**35 assuming g is positive.\nAnswer: g**(-17104\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.387 times -3?\nAnswer: -4.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5bc (base 13) to base 16\nAnswer: 3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23339, -23664, -23991, -24320, -24651, -24984?\nAnswer: -25319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56776376843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*z**2 + 39*z**4 + 14*z**2 - 38*z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 382670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -5 (c) 2\/5 (d) -1\/2 (e) 1 (f) 119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 473188377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21388 is divided by 2010.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 80 = 0. Suppose -350*l + 307*l + 1376 = 0. What is the highest common divisor of h and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4 + 2112*z**3 + 0 - 2115*z**3 + 2*z**2 - 6 + z + 3. What is p(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1065 and 117789?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13147999?\nAnswer: 31, 424129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v + 48*v + 44*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 60913, 18262, -2 in increasing order.\nAnswer: -5, -2, 18262, 60913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*t = 2*r - 32, -5*r - 25 = t. Let a(y) = -3*y - 14. Let v be a(r). Solve v = -h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*a + 2304*a - 453*a - 396*a - 466*a - 451*a.\nAnswer: 136*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 12*h + 6. Let s be n(-13). What is the highest common factor of s and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 3. Let a(g) = -4*g + 2. Let b(d) = -4*a(d) + 5*q(d). Let k = -98 + 98. What is b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841*c - 7441 = -48*c + 66072 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 7) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2239626000 to the nearest one million.\nAnswer: 2240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -316000 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -124, -459, -1118, -2209, -3840, -6119, -9154?\nAnswer: -13053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s. Let d(u) be the second derivative of -u**5\/6 - 151*u**2\/2 - 36*u. Let t(j) be the first derivative of d(j). Calculate r(t(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.35081 years in months?\nAnswer: 88.20972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1717*j + 1757. What is the remainder when 2115 is divided by i(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8 = -4*h, -4*h + 6*h + 3*j = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (23\/(-69))\/((0 + 1)\/(-81)). Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + -0.041. Let a = -744.068 - -744. Let r = a + c. Round r to 3 dps.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.1 + -10. What is the closest to w in 2\/11, 0.5, 3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*b = -28, -11*f - 2*b + 14 = -14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328730.\nAnswer: 2, 5, 71, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**3 + 45 - 45)*(0*i + i - 4*i)*(-4 - 76 - 90) in the form j*i**4 + o*i + v + f*i**3 + l*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -458503*c - 232921?\nAnswer: -458503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*z - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4515*t**3 - 21*t**2 + 42*t - 21. Let y(j) = 3*j**3 + j**2 - 2*j + 1. Give -k(g) - 21*y(g).\nAnswer: -4578*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 299053879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 2:42 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 32300 = -35*v + 30*v, 4*j = -2*v + 25830. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a century in years?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - -17528?\nAnswer: 17458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*m = 10, 0 = 6*q + m + 24 - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/25, 1\/44, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, 1\/44, 2\/25, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + 17*k + 164 + 43.\nAnswer: -6*k + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/(-25))\/((-2)\/5) + (-1 - -5). Sort 8, -4, 2, -2, k in ascending order.\nAnswer: -4, k, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 2, d: 2, t: 6, m: 2}. Give prob of sequence adst.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247*0.03.\nAnswer: 7.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c**2 - 7*c**2 + 3*c**2)*(-c**2 - c**3 + 3*c**3 - 3*c**3).\nAnswer: 8*c**5 + 6*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -259582 and -0.3.\nAnswer: 77874.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*j + 1379*j = -220 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/12)\/(2\/(-12)). Suppose 133 = 3*w - 5*r, -5*w - o*r + 134 = -w. Let z = -15 + w. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lszslclhlzhsgsl. What is prob of sequence hlz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-3)\/30*4). Solve g*r = -3*j + 2 + 1, r + 3 = 3*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g. Suppose x - 1 = -g. Let q(n) = 15*n**2 + 2*n - 1. What is the tens digit of q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3699 + 184983\/50. Let t(h) be the second derivative of 0 + j*h**5 - 1\/10*h**6 + 4\/5*h**3 + 0*h**2 + 2*h - 7\/5*h**4. Find d, given that t(d) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 16*q**3\/3 + 12*q - 2. Differentiate k(b) wrt b.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looooohohuololodhlo. What is prob of picking 1 d and 1 u?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 0.02, 0.2, 0 in decreasing order.\nAnswer: 86, 0.2, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:13 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 110*q + 11. Let u(w) = 18*w + 1. Let n(i) = -6*u(i) + z(i). Let l(g) = 1. Calculate -4*l(p) + n(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 460*b - 229*b - 232*b + 11*b**4 + 2*b**2 + (b - b - b**4)*(1 - 4 + 2).\nAnswer: 12*b**4 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111 in -0.1, 5, -0.5, -0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:17 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1644937210 to the nearest one million.\nAnswer: 1645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 0. Let r(h) = -67*h - 2*h**l + 67*h. Let x(y) = 7*y**2. What is x(r(k))?\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 18. Suppose -3*r - d = -40, -5*r + 88 - 14 = -a*d. Solve 3*c - m - 1 = -r, -m + 9 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5199566 litres in millilitres?\nAnswer: 519.9566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447425, 894554, 1341683, 1788812?\nAnswer: 2235941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(180))*-6.\nAnswer: -36*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 13*i + 2. Let f be p(-15). Let o be 2\/12*f\/6. Is 2 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70064, -69309, -68552, -67793, -67032?\n\"Answer: l**2 + 752*l - 70817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 13 = 6*d. Let f = 25 - 33. Let i be 4*f\/((-4)\/2). Solve -d*g = 4*m - i, m - g + 16 = 2*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*p - 41*p + 7797. Factor 20*n**2 - 6*n**3 - 2*n**3 - p*n + 16 + 383*n.\nAnswer: -4*(n - 4)*(n + 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -5, -2, 3, 1, -3\/236, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 66*z - 264. Let d be n(4). Solve -4*v - d = v + 4*c, -9 = 3*v - c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/645704 and 39\/328.\nAnswer: 26473864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -486*c - 5034 - 7*c**2 + 6*c**3 + 0*c**3 + 5033 wrt c.\nAnswer: 36*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4488 and 6787?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f - 6. Let n = 63 - 63. Solve f*q + 10 = -n*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 23045569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/((-2)\/(-6)). Suppose 0 = 3*c - 7 - 8. Solve -r*g + 3*y + 15 = 0, 6 = c*g + y - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 1438*b**2 - 98353*b - 1353. What is k(-1366)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 2, a: 4}. What is prob of sequence hann?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -5*(sqrt(209) - -2*sqrt(209)))\/(-3*sqrt(55)\/sqrt(5)).\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6380, -6463, -6598, -6785, -7024, -7315?\nAnswer: -7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.97 - 8. Let l = 367 + -520. Let u = l - -152.5. Which is the second biggest value? (a) u (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**3 - 4*u + 6. Let k be o(2). Suppose -5*z = -2*p + 813, -5*p = z - p + 145. Let x = k - z. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 151027 = 26071. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 3. Let a be 1 - 3 - (-1 + q). Let m = -3107\/6206 - -2\/3103. Put m, -2, a in descending order.\nAnswer: a, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*z - 895, 5*k = -0*z - 3*z + 1336. Suppose 0 = 7*w - 4*w - 567. Suppose -6*b + z = -b - l, -2*b + w = 3*l. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 8e5eb?\nAnswer: 8e5da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**14*(s**(11\/5)*s)\/s assuming s is positive.\nAnswer: s**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(513\/475) - (-3 - (13 - 7)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.597 + -65.333. Round r to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2896979896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -428 - -0.0492\nAnswer: -427.9508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 332893, 332962, 333077, 333238, 333445?\n\"Answer: 23*m**2 + 332870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 3) + -3 + 5 - -7. Sort -0.8, -1\/8, z.\nAnswer: -0.8, -1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from errprzzezrrzpeerer. What is prob of picking 4 r?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:13 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.31 - 0.11. Let x = m + -1.19983. Round x to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 + 49*b**2 + 314*b - 405. What is h(21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*c = 38140, -6*c + 28584 = 3*w + 3*c. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9786 - 2*o**2 - o**3 + 2*o**2 - 9786.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 29*o + 57. Let k be i(27). What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqqq when four letters picked without replacement from {j: 4, q: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 57. Suppose 0*n + 5*n - 670 = 0. Let s = n - d. What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a - 4*a**3 - 3*a**3 + 3*a wrt a?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 112*d + 554. Give p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -745805 by 149161.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 6408125*p + 6408120.\nAnswer: 5*(p - 1281624)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -958 - 4*i - 10*i + 937. Suppose 10*w - 7*w = -21. Is l(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-363)*-11*341. Solve 7*u + 103 = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 9) to base 5.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 29*i**4\/8 + 5*i**2 + 5. Let d(l) = 2*l. Determine d(v(n)).\nAnswer: 174*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 - 1503003*v - 753006006003\/2.\nAnswer: -3*(v + 501001)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + a**2 - 404 + 224.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/63 + 20)*3\/(-24).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 22*s + 4305 = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2175 and -47\/50.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdm when three letters picked without replacement from xdmxdmxmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 35740467\nAnswer: -4\/35740467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -16.8. Let r = -2.2 - l. What is the closest to 0 in 3, r, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/5)*x*(x**(-2\/95)\/x)\/x)\/((x**43*x)\/x*(x**(-32)*x)\/x) assuming x is positive.\nAnswer: x**(-1123\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.1, 5, -62246, -0.3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374604 is divided by 412?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y - 78*y**5 - 28 + 83 - 20 - 27 wrt y.\nAnswer: -1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22393096085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/4 - 644*v - 414736 = 0.\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/(4\/(-8)). Suppose v = -2*b + 3*b. Suppose x - 12 - b = 0. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*y + 4527*y - 907*y - 914*y - 3 - 907*y + 2 - 908*y.\nAnswer: -17*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + z + 0*z + z)*(5 + 1 - 3)*(-z**3 + 6*z - 4*z**2 - 6*z).\nAnswer: -6*z**4 - 27*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/6*120\/(-690)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(104) + sqrt(104) + 2*2*sqrt(104) - (6*sqrt(104)*2 + sqrt(104)))\/(-1*sqrt(648)*-5)).\nAnswer: -20 + 7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.2 (b) 5\/4 (c) 0 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v - 18. Let p be y(-4). Are -73 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 2*f**2 + f**2 + (-f - 8*f - f)*(-2*f - 2*f + 2*f) to the form h + c*f + a*f**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -1\/50*y**5 + 0*y**2 + 0*y**6 + 0*y**4 - y + 1\/30*y**3 + 0 + 1\/210*y**7. Let j(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1740 divide 790569000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 + 0.0994.\nAnswer: 66.0994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6794 is divided by 2221.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134553 less than 0.078978?\nAnswer: 0.0924333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 11*r)*(-3 + 0 + 0)*(-1 - 1 + 1)*(-3*r**4 + 0*r**4 + 5*r**4).\nAnswer: 48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**6\/720 + b**5\/60 - b**4\/6 - 4*b. Let o(s) be the third derivative of k(s). Let q be o(2). Solve 6 - 22 = -q*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -20*i - 12*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*h - 206*h - 24 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y*y)\/y)**(23\/4)\/((y\/(y**(-3)\/y))\/(y*y**(-1))) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300207*d**3*q - 274*d**3 + 2369*d**2*q - d**2 + 9*d*q + 649*d wrt d?\nAnswer: -1801242*q - 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 19*t - 1658. Determine u(34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**34\/y**(-13)*y**34*y**(12\/5)\/y*y)**(-1\/20) assuming y is positive.\nAnswer: y**(-417\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59049*t**3\/8 - 72171*t**2\/8 - 29403*t\/8 - 3993\/8.\nAnswer: -3*(27*t + 11)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 8*w - 2327 = -14*w. Calculate the remainder when 737 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13504 by 3.\nAnswer: -13504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from roooorarrro?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + 1 + 8 + 0 + 23.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21294\/433555?\nAnswer: -21294\/433555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-76)\/(-28) + -3 + 2\/7. Suppose -6*u - 3*u + 990 = o. Suppose 0 = 3*i - 643 - u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2365\/297 + (-17)\/(-459).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -33941*k + 34035*k - 809 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 4. Let h be g(5). Let j = h + -15. Let z be 270\/j - (-2)\/(-7). What is the highest common divisor of z and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 - 3*x. Let v(o) = -2*o**2 + o. Let u be (8\/6)\/(7\/84). Suppose 2*s + u = -0*s. Determine s*v(i) - 3*m(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9035 is divided by 9009?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5632562 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1981151 is divided by 28302?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 50527.178 to the nearest ten.\nAnswer: 50530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) -5 (c) 0.27 (d) 36 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a factor of 1303796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-104)\/(-117))\/4 + 86*2\/36. Suppose 0 = -5*c - 6 + 21. Let q be (-11)\/(-3) + 1\/c. Solve 4*o + 12 = q*g, 0*o - n*g = o - 27 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*(-906)\/(-10570)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*a**3*c**2 + 3*a**3 - 16*a*c*m + 2*c**2*m - 1326*m wrt c?\nAnswer: 220*a**3*c - 16*a*m + 4*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 m, and 1 c when four letters picked without replacement from mwvcvvvmvvdwmvvvvmw?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*b = -0*w - 28, 20 = -5*b. Suppose k + 2*m - 38 = 0, -6*m - 31 = -w*k - m. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22679 is divided by 2263.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 20. Suppose -c*w - d - 2*d - 5 = 0, d + 13 = 4*w. Suppose o + 3*v - 43 = 5*v, v = -w*o + 96. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*r - 47*r + 153. Is -51 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.51 - 0.11. Let k = b + -2. Let g = 1\/86 - -213\/172. What is the second biggest value in 0.1, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.407039 + 16.9070341. Let d = 1.56 - 0.06. Let m = g + d. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6507, 13064, 19631, 26208, 32795, 39392?\n\"Answer: 5*u**2 + 6542*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 55788.\nAnswer: 167364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + -119. Let b = -135 - w. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/(-5))\/(-2)*-15 - 4. Let c = i - 49. Solve 0 = 3*o - 5*d - c, -5*o + 4*d = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-44) - 5\/(-6)*312\/(-130).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, 21845, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 24*l**2 - 17*l + 11. Let s be h(-25). Let r = 195 + s. What is the least common multiple of r and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cocaaq. Give prob of picking 1 o and 2 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2528 and 268.\nAnswer: 169376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -32 - -6) + 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41273 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 152\/5233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 12187\/893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1655 and -355246.\nAnswer: 587932130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -49?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2848, -2\/15, -1, 0 in descending order.\nAnswer: 2848, 2, 0, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.157956?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (382\/(-355833)*-207)\/(59\/9).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from urujuuucuccrxrc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 7:48 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let n(l) = l**2. Let k(o) = -2*n(o) - 3*z(o). Let h(f) = -f + f - 2*f. Determine k(h(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 649602507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 64*c + 23. Suppose -13*p = -9*p - 3*m + 92, 3*p - m = -64. Is d(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323604*d**4 + 3*d**2 - 4*d - 3956 wrt d?\nAnswer: 7766496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.4 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 1. Let d be 20\/(-35) + f + 1. Which is the third biggest value? (a) -0.5 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 4*n**2 - 343*n - 2056. Give w(-6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 2401 = -44*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u + 12. Let x(c) = -5*c + 5. Let f(p) = -13*x(p) + 6*z(p). Calculate the remainder when 28 is divided by f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a + 1379 = -122 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (1 - (6 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329123383, -658246766, -987370149, -1316493532, -1645616915?\nAnswer: -1974740298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n**2 - 3. Let g be s(-1). Calculate the remainder when 23 is divided by (-36)\/(-15)*g + 4\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5050003 is divided by 96?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*y + 37*y - 2*b + 2, -3*y - 19*b = -41 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 123 = 4*v, -16*w - 33*w - 84 = 2*v - 86*w + 33*w for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 32*j = 2*q - 62, q = 5*j - 112. Calculate the least common multiple of j and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26376 - 26372. Let p(r) = 16*r - 8. Let a be p(3). Put g, 2, 3, a in ascending order.\nAnswer: 2, 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.122 - 0.182. Which is the third biggest value? (a) 3 (b) o (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 12. What is the tens digit of (-14)\/(-35) + (-206)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -53. Let r = -53 - s. Suppose -13*t = -8*t + r. Sort 3, 1, t, -2.\nAnswer: t, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 930 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -184, -159, -134, -115?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 19943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1468\/36 - 2\/(-9). Let h = 9 + -4. Suppose 5*r = -4*g + 116, h*r - w = -5*g + 99. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.087 - -2.4.\nAnswer: 2.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 - 14*x\/9 - 4\/3 = 0 for x.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4 - 2 + o - 3. Let d be s(7). Suppose 3*v - 6 = -0*h + 2*h, -8 = -4*v - 4*h. Solve v = -t + d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 7316.\nAnswer: 7315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 36, 94, 178, 288, 424?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by -3.\nAnswer: -136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*z = -l + 63, -2*l + 2*z = -88. Suppose 2*r = 3*r + l. Let d = r + 35. Sort 3, 1, d in increasing order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = -45. What is the least common multiple of (2\/6)\/((85\/(-225))\/(-17)) and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 + 11*m**3 - 8*m**2 + 599*m - 5 wrt m?\nAnswer: -36*m**2 + 66*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 2*l. Determine b(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.7, 2\/13, -5.\nAnswer: -5, -0.7, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let v(n) = -n - 4. Let u(l) = 2*o(l) + v(l). Suppose 5*y - 17 = 13. Let r be u(y). Solve r*s + 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*k + k**2 + 20*k + 17*k - 2*k**3 - 2*k**2 + 7 - 49*k to a*k**3 + t + n*k**2 + s*k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 2817648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*y + 60 + 2*y**3 - 88*y + 0*y**3 wrt y?\nAnswer: 6*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 94*z - 11. Let t(n) = -31*n + 3. Give 2*q(a) + 7*t(a).\nAnswer: -29*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/4)\/(1\/2) - -8. Suppose 0 = -5*a - v + 6*v + 20, 19 = l*a + 4*v. Solve -a*d + 2*m = -3*m - 25, -3*d - m - 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5118441 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*n**2 + 909*n + 10201\/4.\nAnswer: (18*n + 101)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*t - 1260 = 4866, -3*u = 4*t - 9217. Suppose -3*a = -2*a + f - u, 3*a = -f + 9207. What is a rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + 5*m - 9. Let l(a) = 6*a**2 + 6*a - 6. Let h(y) = -6*l(y) + 5*s(y). What is h(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116435238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 29*r - 210. Give a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048612530.\nAnswer: 2, 3, 5, 7, 17, 293729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/16)\/((-1373190)\/(-16096)))\/(3\/(-5))?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6111\/504)\/(85\/(-680))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -17, 3 in descending order.\nAnswer: 3, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1939347*g*w - w - 512003 wrt g?\nAnswer: 1939347*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 25*v**3 - 6 + 3 + 51*v**3 to the form h*v + k*v**3 + n + o*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*d - 2*d + 12, 5*x = 2*d - 24. Calculate the smallest common multiple of 7 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1349)\/(-449) + -2 + 10 + -11. Let r be (-51)\/(-136) + 130178\/(-7184). Let a = r - x. Find the common denominator of -73\/40 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 133*w**2 + 2725*w + 2679. Calculate y(-108).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16, -9, 0.5, 2, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -609.95 * -5.\nAnswer: 3049.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28795476 or 2\/7?\nAnswer: -28795476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 35. Suppose -3*i + 1731 = -j*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-20) + 870\/(-6700). Which is the nearest to x? (a) 2 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000938 to 6 dps.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + -31. Let u = 409 + f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 181.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*p**2*z**2 + 12*p**2 - 989*p*z**2 - 4*z**2 - 12557*z wrt z?\nAnswer: -16*p**2 - 1978*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 12) in base 16?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 2, 0.4, 0.5, -2\/31, 8156?\nAnswer: 8156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*s**2 + 789*s**2 - 1449*s**2.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 3*x - 3. Let j(k) = -k**3 + 9*k**2 + 4. Let d be j(9). Is 17 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2208 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2341142050 - -20?\nAnswer: -2341142030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/4 + 939*n**2\/4 + 222759*n\/4 + 1090445\/4 = 0 for n.\nAnswer: -467, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 39*j + 38*j - 1 - 29, 36 = 4*c - 4*j for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/13)\/(t*t**(-1\/5)\/t*t) assuming t is positive.\nAnswer: t**(-47\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68447213 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 15. Suppose 0 = -n*d + 7*d - 12. What is the remainder when 4 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5517.493 meters in micrometers?\nAnswer: 5517493000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from yyywyyyyywwwyyyyyyyw?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.5 (c) -3\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*f - 3125 = 0, 83*f - 82*f = 3*x - 4684. List the prime factors of x.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-530*b - 505*b + 1129*b)*(-3 - 2 + 4).\nAnswer: -94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -167 (b) 114\/25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 260.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 + 12*w + 2. Let d be v(-2). Let m = d - -288. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4.3. What is the third smallest value in t, 0.01, -3\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/10 + -1\/5. Which is the third smallest value? (a) y (b) -1\/61 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126*z**4 + 7 wrt z?\nAnswer: 504*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2 + 15*y**4 + 15*y**3 + 2*y**2 + 3*y**5 - 5*y**2 + 4. Let j(h) = -6*h**5 - 31*h**4 - 31*h**3 + 7*h**2 - 13. Let r(v) = 6*j(v) + 13*k(v). Factor r(s).\nAnswer: 3*s**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00342 to four dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22.2*1\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, p: 8, z: 4, j: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 5)\/(11\/(-2)). Let z = -266 + 263. What is the closest to z in k, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15235251, -30470528, -45705805?\nAnswer: -60941082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*a**3 - 38*a**3 + 80*a**3.\nAnswer: 102*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15561)\/798*(-20)\/(-15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16886 - -84432\/5. What is the third smallest value in 6076, n, -2\/9?\nAnswer: 6076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - b + 11 = 2*b, -4*f + 36 = 4*b. Sort f, -4, 2, 0.\nAnswer: -4, 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 946 and 4246?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 10*r - 5*r + (-1 + 6 - 3)*(r + 1 - 1) - 3*r + r + 8*r - 3*r + 0*r + r - 3*r + 3*r - 2*r + (0 + 3 - 4)*(0*r + 0*r + 2*r) + r - 2 + 2.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 - g + 2. Let n(t) = 3*t**3 + 25*t**2 + 9*t + 9. Let q be n(-8). Let k be j(q). Sort 2, k, 6\/11 in decreasing order.\nAnswer: 2, k, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2631624428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 16604.\nAnswer: 1\/1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42693.776824 take away 607?\nAnswer: 42086.776824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -621 + 626. What is the smallest value in 13, -0.46, k?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b - 15. What are the prime factors of t(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 1, 4*m - y = 390 - 81. Calculate the greatest common factor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2*r**2 + 94*r**3 - 89*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = c, 3*p - 3*c - 9 + 3 = 0. Put p, 1, -1 in decreasing order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45511?\nAnswer: 71, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - 1.78. Which is the third smallest value? (a) -5 (b) n (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-114)\/(-24))*(-16)\/6. Factor -35*z**a + 0 + 4*z**3 - 29*z**2 + 0 + 256*z.\nAnswer: 4*z*(z - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -12. Suppose -17 = -4*u - 25. Sort i, 2, u in decreasing order.\nAnswer: 2, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let y(i) = -210*i - 24. Let l(x) = 84*x + 10. Let b(t) = 12*l(t) + 5*y(t). Determine z(b(q)).\nAnswer: -84*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 13. Determine b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and 71\/40222.\nAnswer: 160888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577996923 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 48. Suppose g - 4 = -n, -2*n + n + 4*g = s. Which is the second smallest value? (a) n (b) -0.3 (c) -3\/7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/9)*u**1)**(-3\/4))**(-3\/5) assuming u is positive.\nAnswer: u**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49502660 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(2 - 1). Is 3\/11 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let t(i) = -5*i**2 + 2. Let x(o) = -10*o**2 + 3. Let f(d) = -d**2. Let w(n) = 4*f(n) - x(n). Let c(p) = -3*t(p) - 2*w(p). Determine c(q(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -431, -480, -529, -578?\n\"Answer: -49*c - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose 21 = h*n + 3. Suppose -n*b + 4*b + 155 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1194+19782\nAnswer: 20976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 19*g**2 + 34*g - 14. What is w(17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2 and -75\/2932.\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/4 + 3\/12. Let i be 5\/2*4*p\/(-62). Are i and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 7*b. Let f(a) = 3347*a**3 + a**2 - 7*a. What is -4*f(j) - 4*r(j)?\nAnswer: -13388*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*j + 1. What is the common denominator of 77\/12 and (21*-1)\/((-2)\/j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swss when four letters picked without replacement from {s: 8, w: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 44 - 41 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 14*b - 55. Let h(w) = w**2 + 2*w + 11. What is -4*h(c) - k(c)?\nAnswer: -3*c**2 - 22*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202041556?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 8*q**2 - 10*q - 4. Let g be d(6). Calculate the smallest common multiple of g + -1*4\/(-4) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + (-1 - -72 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 10*z + 83. Let f = z - -10. Let p = f - -102. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173541*g**3 - 2*g**2 - 112233*g wrt g.\nAnswer: -1041246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 81 + 17)*(1 + 2 + 2)*(0 + 0 - k).\nAnswer: -270*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 11*l**2 + 3*l - 10 + 9*l**2 + 19 to w*l + r*l**2 + s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - 2 - (-16 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5250554 + -1?\nAnswer: -5250555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/3*2 + 10. Calculate the common denominator of x\/24 + (-130)\/(-48) and 73\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 32*z**2 - 34*z - 311. What are the prime factors of q(-14)?\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (-9 + -1 + 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10.378 * -93332\nAnswer: -968599.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzszssccczczsyscszzc. What is prob of sequence zzzc?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*n - 47. Let a(d) = -94*d - 2. Let g be a(n). Suppose -4*p + 2*c + 96 = 0, p + 4*c - 107 = -4*p. Calculate the highest common factor of g and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*42\/(-28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h**2 - 22*h**3 + 76*h**2 + 20*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 + -7?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-120)\/(-14))\/(31\/2821). Calculate the common denominator of 91\/22 and (-2 + 59\/(-2))\/(c\/(-100)).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.011 and -2.777.\nAnswer: 0.030547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9465406.367 rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -7)*18\/10. Suppose -2*s - 3 = -z. Solve 0 = s*f - 3 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*w + 2387*w + 1760*w + 5755*w to s*w + t and give s.\nAnswer: 9879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + (4 - (4 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18658.999964884 - 18659. Round j to 7 dps.\nAnswer: -0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2) + -1 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 9. Suppose -814 = -2*u + m, n*u - m - 406 = 2*u. Is 51 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 + 5. What is j(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.2. Suppose -3*z + 2*z + 1 = 0. Let h(n) = 2*n**3 - 2*n + 1. Let b be h(z). Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6612233 (base 7) to base 3.\nAnswer: 1112011000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 23*t**7\/210 - 61*t**4\/8 + t**3\/6 + 218*t**2. What is the second derivative of i(d) wrt d?\nAnswer: 276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 253423?\nAnswer: 253420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*x - 15, 5*f - 4*x + 7 = 5. Solve -o - 4*c + 5 = 0, 11*o - f*c - 1 = 8*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/48 and -77\/64422?\nAnswer: 515376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 570*k + 18. What is the hundreds digit of c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 12:21 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*l + 21 = -363*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.735 - -0.265. Which is the nearest to 3\/4? (a) -2\/13 (b) 1 (c) n (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6158190989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**9\/1008 + n**8\/560 + 4*n**3\/3 + 1. Let m(i) be the third derivative of a(i). Solve m(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2867 - 2.3867. Which is the nearest to t? (a) -32 (b) 2 (c) -1 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3 + 36*p**2 + 2635*p + 1886530 wrt p.\nAnswer: -3*p**2 + 72*p + 2635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 1\/3*c**4 - c**2 + 0 + 0*c**3 + 21*c. Let n(h) = -8*h**2. What is n(l(v))?\nAnswer: -512*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = 4*z - 20, 4*z - 28 = -4*q. Suppose -2*u + 4*c + 61 = q*u, 0 = 5*u + 3*c - 68. Let b = 25 - u. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 96. Suppose 0 = 5*w - 64 + 244. What are the prime factors of ((-4)\/a)\/(2\/w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1 + 0*u - 2*u - 4*u. Determine p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 194 = 18*z, -37*u + 73*u + 0*z = 37*u + 11*z + 122 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54059643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjzgrjzzgjggwggzwjgz. Give prob of sequence wzz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 657167255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {k: 5, u: 4, f: 1, x: 1, w: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, -20, -97, -246, -491?\n\"Answer: -4*v**3 - v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 137?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**3 + 5*m**3 + 8*m**3 + 6*m**3 + 4*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -223.72996 and 0.107.\nAnswer: -223.62296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.097.\nAnswer: 0.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {j: 4, m: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6763 or 32\/1885?\nAnswer: 6763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = -16. Let i = -21 - g. What is the common denominator of 29\/9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2329 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-144)\/12)*21\/(-49)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -882, -1320, -1756?\nAnswer: -2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/(y**4\/y))**1\/(((y\/(((y\/y**(-2\/7))\/y)\/y))\/y)**(-2\/107))**(-4) assuming y is positive.\nAnswer: y**(-3036\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-4)*8*5\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + i = 1 - 7, 30 = -5*j + 5*i. Let v be (-40)\/j*(-42)\/(-5). Suppose a = -a + v. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 63. What is the closest to -0.1 in -2\/7, -1, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 24.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lljngsaj. Give prob of picking 1 n and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1430*b = -1409*b - 642117. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4950134 by -1.\nAnswer: -4950134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 181880?\nAnswer: -90940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18118135, -36236267, -54354395, -72472519?\nAnswer: -90590639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -63.962. Let u = 5.038 + m. Put -3, u, 2\/23 in ascending order.\nAnswer: -3, 2\/23, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.3019ml to litres.\nAnswer: 0.4943019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -209*g**2\/7 + 13382*g\/7 - 384\/7 = 0.\nAnswer: 6\/209, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.05 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f - 2. Let r(h) = -h**3 + 3*h**2 + h - 1. Let a be r(f). What is the highest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -8030368\nAnswer: -5\/4015184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 428, 4 in decreasing order.\nAnswer: 428, 4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p + 308. Suppose -43*r + 39*r = p. Let z = 101 + r. Calculate the highest common divisor of z and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22732 * 0.4.\nAnswer: 0.090928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, -5, -26, -65, -128?\n\"Answer: -g**3 - 2*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -3 + (2 + 2 + sqrt(1700) - (sqrt(136) + (sqrt(136) - sqrt(136)*1)*-2)\/sqrt(8)) + -5).\nAnswer: -42 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -191186, -191253, -191318, -191381, -191442?\n\"Answer: f**2 - 70*f - 191117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2369, -2370, -2371, -2372?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(10)\/sqrt(2) + -6*sqrt(80) - (-5*sqrt(125)\/sqrt(5) - sqrt(25) - sqrt(25))\/sqrt(5))**2.\nAnswer: 96*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29086 - 2617901\/90. What is the common denominator of y and -59\/102?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -2\/71141, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - a - 45, 33 = 3*n - 5*a. Let l = -3627 + 3623. What is the second biggest value in l, -0.5, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 23. Let d be l(-1). Suppose 0 = d*c - 17*c + 8. Suppose 5*x - 3*n = -25, x - 5 = 2*x + 2*n. Sort x, -3, c in ascending order.\nAnswer: x, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 154 (c) -2 (d) 12\/7 (e) 2\/5 (f) 0.3 (g) -170\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331*2.\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 - 28*h. Let w(c) = -c**2 - 7*c. Let s(m) = 2*b(m) - 9*w(m). What is the remainder when s(-8) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*u**4 - 17351*u**3 - 8949543 wrt u.\nAnswer: 624*u**3 - 52053*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -3435\nAnswer: 10305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (85 + (-18 - (2 + 4 + -12)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**6\/360 - 3*q**5\/20 + q**4\/8 + 110*q**3\/3 + 181. Let z(t) be the third derivative of s(t). What is z(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329 - 3*g**3 + 1329.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 17480*y + 18 - 4.\nAnswer: 17480*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c + 33 + 48 + 11*c - 81 - 22*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyynqjqqcqqcyqqqjc. Give prob of sequence yqj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 8*p**3\/3 - 5*p - 8. Let u(h) be the first derivative of 3*h**3 - 6*h - 6. Suppose 0 = -t + 3 + 3. Calculate t*r(y) - 5*u(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 135*s**3 - 8*s**2 - 75*s - 67. Calculate v(-1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epepvopppppee. What is prob of picking 1 e and 1 o?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 35858\nAnswer: 6\/17929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.0532572 rounded to two dps?\nAnswer: -87.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -12. Let g(d) = -12*d + 69. What is the remainder when g(4) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -y - 3*y + 8, 2*m - 5*y + 10 = 0. Let c be ((-3)\/(-5))\/((-3)\/(-15)). Solve m = -f + c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56448.1400015 - -56447.9. Let o = 3 + -2.76. Let n = o + h. Round n to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3045 - 2955. Solve -49*w = -67*w + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 - -173. Solve 7*r + n + 18 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 3*w**3 + 18*w**3 + (0*w - w**2 + 0*w)*(2*w + 3*w - 6*w) + w**3 + 2*w**2 - 2*w**2)*(-2*w + 1 - 1).\nAnswer: -44*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7041 is divided by 1559.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18961854\/41 or 462485?\nAnswer: 18961854\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -48 - 26) + -39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = u, 0*y = -y + u + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 - 27661*v**2 + 55309*v**2 - 27649*v**2.\nAnswer: -9*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5\/3 - 2554*b**4 + 1644146*b**3\/3 + 2483470*b**2\/3 + 1278*b - 827824\/3 = 0. What is b?\nAnswer: -1, 1\/2, 248, 1669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 608383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-21 + 29 + -8 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 5*x + 6. Let g(d) = -10*d**2 - 14*d - 18. Let n(j) = 2*g(j) + 7*q(j). List the prime factors of n(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + 3\/6. Let r = -17 + 23. Let t(x) = -r*x + 2*x + 2*x + b*x. Let s(q) = 6*q**2. Calculate t(s(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 633348*p**4 + 29 - 633348*p**4 - 3*p**5 + (0 + 2 - 1)*(4*p**5 + 4*p**5 - 3*p**5).\nAnswer: 2*p**5 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*t + 169 = -2*x + 285 + 89, -200 = 4*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + (-7 + 6 + 5 - -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 6, -2*i - 29 - 22 + 48 = -3*k for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 2\/13, 0, 2\/9, 7, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 497.8 + -498. What is the nearest to 1 in l, 0.2, 1\/4, 13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/16*(-10)\/230*4.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -833 + 1201. Let u = -383.1 + a. Let t = 15.09827 + u. What is t rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2243 = 5*c + 2218, -5*f - 4*c - 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -22 - -12 - (0 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5, -4*b + 15 = 2*d - 23. Let j(n) = n**3 - 8*n**2 + 8*n - 10. Determine j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 15. Let p(m) = -m**3 + 7*m**2 + 3*m - 3. Is 16 a factor of p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3583 (b) 0 (c) -4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6 + 6*f + 6 - 19 to z + a*f and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -619\/3 (b) -0.16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293633751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4674 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from nnqn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*f - 4 = -351*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.62, -5, -0.08?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 59 = -7. Calculate the remainder when (6\/(-4))\/(6\/(-152)) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z - 10. Let f be r(-7). Suppose 0 = -f*u - 5*p + 7, 5*p + 57 = 3*u + u. Is 5\/1*(-4 + u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cgccgcccgcgggcccccg?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 290745 divided by -13845?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, j: 1, z: 4, d: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.478 * 61.\nAnswer: 29.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -923*k**7\/14 + 65*k**3\/3 - 3*k**2 + 1508*k. Find the second derivative of w(d) wrt d.\nAnswer: -55380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 2*d = 10, -2*d - 10 = -5*m + 15*d - 15*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 74 + 35 - 116 - 405*s**2 as g + k*s**2 + i*s and give k.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - o + 3 + (-1 + 2 - 3)*(o - o + 2*o) + 2 - o - 2 - 20*o + 14*o + 10*o)*(1538*o**3 - 1538*o**3 + 44*o**4).\nAnswer: -88*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93598211 equal to 93598212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s + 703. Give i(-64).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:16 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3 (c) -6.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/9 - 16*q**2\/9 + 886*q\/9 + 100.\nAnswer: -2*(q - 18)*(q + 1)*(q + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1299, -2127, -2955, -3783, -4611, -5439?\nAnswer: -6267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*q**5\/7 - 414*q**4\/7 - 741*q**3\/7 - 404*q**2\/7 - 68*q\/7 = 0. Calculate q.\nAnswer: -2\/3, -1\/3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1203230?\nAnswer: 1203300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01303679 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2711*o**2 - 1850*o**2 - 9535*o**2.\nAnswer: -8674*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -1 - 1\/2. Let w = -12114 - -12113.9. What is the closest to y in w, -0.5, 5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.24 - 0.15. Let u(q) = -q**3 + 7*q**2 - 11*q + 5. Let d be u(2). Which is greater: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(900\/15415) + 3 + 282\/(-90). Which is the fifth biggest value? (a) -2 (b) -0.2 (c) 6 (d) -1 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -749 (b) -5 (c) 0.5 (d) -2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/2 + -4 + 35\/14. Solve -s - y - 3*y = -12, 2*y = t*s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 197 = 407 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15242 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3331617 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 15) in base 11?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*-1)\/sqrt(8).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -1\/4*h**4 + 0 + 1\/3*h**3 - 1\/42*h**7 - 1\/20*h**5 + 0*h**2 + 1\/10*h**6 + 8*h. Solve i(p) = 0 for p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6025149 and 64584?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:20 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-484)\/10)\/1 - (-81)\/(-135). Let s = r - -60. Solve -4*v - 1 = -3*y - s, -5*v - y + 22 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {i: 4, e: 1, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/80 + (-48)\/10. Let l(f) = 3*f + 17. Let n be l(u). Calculate the smallest common multiple of 20 and (n\/(-2))\/(1\/(-22)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - r**3 + 2*r**4 + (18*r**4 - 57*r**4 - 11*r**4)*(5 + 1 + 1) to the form k + t*r**2 + c*r + v*r**3 + q*r**4 and give q.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 14 = -4*o, 8*o - 17 = 3*o - 80592*a + 80594*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-3)\/(81\/(-6))). Let p = x - -17. Calculate the lowest common multiple of p and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let q be 9\/(-2) - 1\/w. Let l be 2\/q + 10\/4. Solve -l*x + 0 = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/(-4) + -1)*8\/(-12). Solve 2*a - 2*l + 3 - 1 = 0, 0 = -3*a + 5*l - s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11220 and 1430.\nAnswer: 145860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70.4 - -19.6. Let j = r + -62. Let s = j + -25. What is the closest to -1\/5 in 0.1, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2363 = 12*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52614 greater than or equal to -52612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 7.5896.\nAnswer: 1, 3, 7.5896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019604500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c81d (base 16) in base 12?\nAnswer: 895b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2, 2\/11, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 13*x + 3*x)*(0 + 0 - 4*x)*(3*x + 2 + x - 2*x).\nAnswer: -112*x**3 - 112*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/7, 0.02, 4\/49, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2265031781?\nAnswer: 19, 251, 474949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 4\/3*p**3 + 0*p - p**4 - 4*p**2 - 7\/30*p**5 - 18. Let u(x) be the second derivative of h(x). Find v such that u(v) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/7 + 36*b**4\/7 + 6*b**3\/7 - 32*b**2 + 291*b\/7 - 108\/7 = 0.\nAnswer: -3, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 39. Let k be (-3)\/12 + u\/8. Let p = 15 + -8. Solve -k*t + p*t - 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 925 = 3*k, 0 = x - 3*x + 5*k + 469. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.76 minus 0.13759523706?\nAnswer: 47.62240476294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 + 7*m**3\/2 + 26*m**2 - 17*m - 10. What is the units digit of d(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3 - 171*x + 7*x**3 + 66*x + 109*x. Let p(v) = -v + 1. Give -4*p(m) - y(m).\nAnswer: -7*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 9. Let i(q) = 5*q + 13. Let z(n) = -5*i(n) - 8*v(n). Let f be z(5). Suppose -2*u - f = -10. Solve -r + 5 = 2*p - 2, -u*r = -p + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -0*y - 11*y. Suppose 5*p = 4*w + y*p - 14, 5*w = -5*p + 35. Solve 0 = 2*k - 3*k - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-75)\/30)\/(1155\/(-5148)). Suppose 102\/7*y**3 - 3\/7*y + 6\/7 + 3*y**5 - h*y**4 - 48\/7*y**2 = 0. Calculate y.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t + 30. Let n(k) = k - 5. Let f(h) = 6*n(h) + p(h). Let c(o) = -o - 3. Let d(v) = 2*v + 10. Let a(b) = 10*c(b) + 3*d(b). What is a(f(q))?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 40154?\nAnswer: -40104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-111)\/777\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*v**3 - 880*v**3 - 32 + 703*v**3.\nAnswer: -575*v**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - u + 354, d - 102 = 5*u + 32. Does 13 divide d - ((-2)\/(-2) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1213?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/8))*o\/o**(-15\/7))\/(o**(-17))**(6\/23))**(-2\/13) assuming o is positive.\nAnswer: o**(-9277\/8372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12 - 6*j + 7*j - 4*j - 4*j. Let t = 5 + -17. Let p be v(t). What is the greatest common divisor of 48 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-6)\/(-2))\/3. Suppose -i = -5*h - s*i + 44, 0 = 4*h - 3*i - 44. Let p = 0 - -10. What is the lowest common multiple of h and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733456 is divided by 1192?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 >= 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (sqrt(700) - 2*(-2 + sqrt(700)))**2.\nAnswer: -70*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 683*z - 689*z + 10494 + 2628. What is the lowest common multiple of z and 90?\nAnswer: 21870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2470 + 3780. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -11. Suppose -2 = 2*p - 2*h, 2*p + u*h - 2 = 3*p. Suppose 0*m + 2*m - 20 = p. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20103 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(136) + (sqrt(136) - (sqrt(136) - sqrt(136)*-2)))*3)\/sqrt(8).\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/315*-5*(-7)\/270. Let k = 812\/1215 - h. Are -16 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**3 + 3*c**3 + ((2*c + 1 - 1)*(3*c - 2*c - 2*c) + 3*c - c**2 - 3*c)*(-3*c + c - c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 15, -3*h = 2*o - 6*h - 7. Let x = -797.3 + 796.8. Which is the biggest value? (a) x (b) o (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/12 and 8\/(3072\/1244) - 8\/2?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let k(u) = -20*u - 14. Determine -6*g(d) + k(d).\nAnswer: 4*d - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2650 and 41870?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 8)*17\/(-51). What is the smallest common multiple of 48\/(-4)*2\/(-3) and ((-22)\/6 - u)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 26 = -5*x, 0*l + 5*x + 17 = -l. Suppose f = -3*p - 3*f + 8, 0 = -l*p - 3*f + 12. What is the greatest common divisor of 12 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -82, -333, -820, -1621, -2814, -4477, -6688?\nAnswer: -9525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 1\/14*o**2 - 28 - 11\/21*o**3 + 11\/7*o - 1\/28*o**4. Factor w(h).\nAnswer: -(h - 1)*(h + 1)*(h + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147c - -42?\nAnswer: 14c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 13*i + 6. Is s(13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2447 + -146767\/60. What is the common denominator of c and 67\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2*((-1252)\/(-36) - (-4)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13983*t**2 - 294*t**3 - 13983*t**2 + 297*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 12:47 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 12 = 4*n. Let t(u) = 9 + u**n - 5 - 7*u**2 - 1 + 3*u**2. What is the units digit of t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**3\/6 + 5*u**2\/2 + 13*u. Let v(l) = l. What is v(h(d))?\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 328375009 divided by 1\nAnswer: 328375009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/s**(-2))\/((s**7*s)\/((s*s*s**2)\/s)) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -60978, 26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19\/3 (b) -0.1 (c) -2 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 0*q - q - 3*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/135 + 283*4*(-14)\/(-280)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3.5. Let z = 3 - 5. Suppose -2*y + 14*h = 17*h - 17, 5*y + 3*h = 20. Which is the closest to z? (a) y (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11415?\nAnswer: 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -17*y + 0*y**3 - 8 - 53\/2*y**2 + 0*y**4 + 1\/5*y**5. What is the first derivative of s(a) wrt a?\nAnswer: 4*a**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5614*u**2 + 1 - 1 + 10116*u**2.\nAnswer: 15730*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (37 - 7) + (6 - ((8 - -57) + -4))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 54 = 3*g, -6*g + 90 = -g - 2*w. Which is greater: 21 or g?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:27 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.51.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2385.2 or -2?\nAnswer: 2385.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to -32621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116040 and 2160?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/11 + -25\/44. Let m(j) = -10*j**2 + 42*j - 9. Let y be m(4). Are k and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -163\/3, 1, -2, -0.27, 0 in ascending order.\nAnswer: -163\/3, -2, -0.27, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 211896 and 108216?\nAnswer: 35386632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by -60?\nAnswer: -91\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022011022 - -1222002?\nAnswer: -100020012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -132010 (base 4) to base 5\nAnswer: -30144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-12 + 9) - 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 110*x - 409. Is d(33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -95. Let p be (n + -8 - 1)\/((-2)\/7). Which is the biggest value? (a) 0.3 (b) 2\/7 (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p. Let f(q) = 194352*q. Give r(f(g)).\nAnswer: -583056*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/300 - 6\/18.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:38 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35425 (base 8) to base 14\nAnswer: -5725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111659 is divided by 1105.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 10?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/11)*f**(-1\/85)*f*f**(-6)*f**(-2\/9))**(-44) assuming f is positive.\nAnswer: f**(173116\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 37*i - 132. Determine f(32).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 206*m + 6528. What is c(74)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*5)\/sqrt(12) - (sqrt(17) - (sqrt(17) + sqrt(34)\/(sqrt(2)*-5)))) + ((2*(sqrt(136)*-2 + sqrt(136) - sqrt(136)))\/(-6*sqrt(32)\/sqrt(4)))**2.\nAnswer: 68\/9 + 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112101101 - 12122?\nAnswer: 20112011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281495 + -281396. Let l(x) = 3*x**2 - x - 3. Let s be l(-5). Calculate the highest common divisor of d and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44718774 and 1788?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*s + 14, 4*o - 3*s + 23 = 57 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 388 = -4*b, -2*b = 3*p - 5*b + 591. Find the common denominator of 25 and (8\/p)\/(4\/(-110)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, 200, 902, 1988, 3446, 5264?\nAnswer: 7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298930 and 114560.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2328*w. Let f(x) = -331*x**2 - 2*x. What is f(t(n))?\nAnswer: -1793882304*n**2 + 4656*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-15) - 96\/(-10). Find the common denominator of -111\/20 and (-89)\/10*q\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.871 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 22.\nAnswer: -1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 - 11*c**2 - 24*c**2 - 90*c**2.\nAnswer: -152*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19352898, 38705818, 58058740, 77411664, 96764590, 116117518, 135470448?\n\"Answer: w**2 + 19352917*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -291017000 to the nearest one million.\nAnswer: -291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + f**2 - 3 - 1 + 3 + 33*f**4 + 6*f in the form t*f + r*f**4 + q*f**2 + z*f**3 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10*0)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.5 - 6.55. Let k = q + -0.95. Let s = 8.5 - 9. What is the third smallest value in s, -4, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a + 11. Let v(t) = -5*t - 4. What is 3*p(u) + 8*v(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1492804 (base 10) to base 7.\nAnswer: -15455125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183699827*n**4 - 185074913*n.\nAnswer: 2204397924*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16269 < -16269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 6283.\nAnswer: 31415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -978 divided by -1?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45227.\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2. Let f(l) be the first derivative of -4*l**3\/3 - 10. Calculate q(f(p)).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + i + 3, -3*t = -i - 11. Calculate the least common multiple of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 3594011, 4 in decreasing order.\nAnswer: 3594011, 4, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 69*m - 236. What is the remainder when y(10) is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 2*r - r**4 + 12*r**4 - r**3 + 9*r**2 + 6*r**4 - 9*r**2 + (3 - 3 + 1)*(-2*r**3 + 2*r**3 - r**4).\nAnswer: 16*r**4 - r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-18)*4*23\/23\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/20357700 and 31\/110?\nAnswer: 20357700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 40. Suppose 5*g = -y - 25. Let d(f) = f + 5. Let r be d(g). Sort 2, r, -2\/9 in decreasing order.\nAnswer: 2, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1388*u + 9715. Determine x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 - -50508?\nAnswer: 50481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -32*r - 2*p + 13, 4*p + 2 = 2*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/2)*a)**(-14)*a*a\/(a\/a**0)*a*((a*a**2*a)\/a)\/a)**(-1\/2))**(2\/89) assuming a is positive.\nAnswer: a**(17\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from qeqgggggwmqeeggggc.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 3 + -2 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 66\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -0.4801.\nAnswer: -0.3801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y**5\/7 - 12*y**4 - 242*y**3\/7 - 264*y**2\/7 - 72*y\/7 = 0. What is y?\nAnswer: -3, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -13. Let w be -12 + 0 + f + -1. Let d = -4 - w. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 - 2*p - 2. What is o(-3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17901263, -17901293, -17901323, -17901353?\nAnswer: -17901383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 3*l**2 + 3*l + 3. Suppose -f + 0*f + 103 = 0. Suppose -z + f = -3. Suppose 4*a = 122 - z. Give n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-8 - 4\/2). Let m be (-24)\/45 + (-4)\/t. Let h be (-15)\/18 + 2 - 2\/12. Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 162. Let m(p) = p**2 + 7*p + 3. Let v be m(-7). Suppose -v*u + 3*j = -k, -2*u - 3*j + 10 = -34. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:32 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h - 25. Solve h = -5*q - 0, -4*c - q - 17 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -10*a - 10*a. Sort a, -2.8, 0.1, -1.\nAnswer: -2.8, -1, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15723376 less than or equal to -15723377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m - 2. Let c be l(6). Let k = -7 + 10. Is k > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5797715*z**5 + 155653080*z**4 + 30518755*z**3 - 178612260*z**2 - 1757540*z - 4320 = 0.\nAnswer: -8\/7, -2\/407, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 4*l**2 + 10*l - 7. What is g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d**2 + 2)*(3*d**2 + d**2 - d**2) + (225 - 225 + 5*d**3)*(d + 2 - 2) - 7*d**4 - 2*d**4 + 3*d**4 + 3*d**4 + 0*d**4 - d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 5*s**8\/336 + s**4\/24 + s**2 + 5. Let h(y) be the second derivative of d(y). What is the second derivative of h(z) wrt z?\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/196 and -61\/60?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 5*d + 24. Let h(p) = 2*p**2 - 11*p + 49. Determine 3*h(m) - 7*y(m).\nAnswer: -m**2 + 2*m - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2290, -4552, -6812, -9070?\nAnswer: -11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*x + 96*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151072 divided by 16.\nAnswer: 9442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-65 - -3 - -24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:37 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 49*n. Which is the closest to -1\/4? (a) -4 (b) n (c) 71 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883682?\nAnswer: 2, 441841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t - 56. Calculate v(0).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 30. Suppose -2*k + 59 = o*m, k = 3*k + 5*m - 53. Solve -13*g = -8 + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 13*t**4\/12 + t**3\/6 - 5*t. Let b be u(1). Suppose 0 = -5*x + 21 + b. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5600744, 5600760, 5600786, 5600822, 5600868, 5600924, 5600990?\nAnswer: 5601066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/17 - 41\/68. Let a(u) = 6*u + 25. Let o be a(-4). Let x = -0.2 + -0.8. What is the closest to f in -0.3, x, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.5 - 11.5. Which is the closest to 2? (a) s (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182294 divided by -14?\nAnswer: -13021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2848*s - 2844*s + 9*p + 5 = 0, 4*s - 2*p = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r - 12. Let x = -324 - -334. Let g(l) = 6 - 21 + 4 + 10. Determine x*g(q) - y(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/8 - (-1)\/4. Let x(t) be the first derivative of -t**4\/4 - 4*t**3\/3 + 2*t**2 + 6*t + 1. Is x(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o - 12*o = -19*o + 123 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/20 - w**3\/2 + w**2 + 21*w. Determine r so that y(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/1188*-11*(-138)\/2576?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21113312 (base 4) in base 14?\nAnswer: ddc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 200 = -8*j. Let w = 40 - j. Solve -5*c - 10 - w = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * -162\nAnswer: -469.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -21, -111063, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46 - -0.04. Let p = 187\/7 + -27. What is the closest to -2 in o, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h - 7*h = -2*n + 6*h - 236, 255 = -4*n - 4*h - 17 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128975 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:06 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 125 = -5*a - t, -100 = 4*a - 2*t. Let p be (30\/a)\/(2\/(-10)). Suppose 5*y - 34 - p = 0. What is the highest common divisor of 72 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*6 + sqrt(132) + (sqrt(132) + 1*sqrt(132))*-4)\/((sqrt(84) - (sqrt(84) - (sqrt(84) - (2*4*sqrt(84) + sqrt(84)) - sqrt(84))))\/sqrt(7)).\nAnswer: 13*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(192)*2*-1)\/(-3*4*sqrt(484)*-2))**2.\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13868846 equal to -13868845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmzzzzzzzzzzzmzzzmm. What is prob of picking 1 z and 1 m?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68.043 + 68. Let w = 0.1243 - 0.16833. Let k = w - q. Round k to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x**4 - 13*x**4 + 25*x**4 + x**4 - 5*x**4 + 2*x**4 - 4 + 4 + x**4 + (4*x**2 - x**2 - x**2)*(0*x**2 + 4*x**2 - 5*x**2) + 5*x**4 + 34*x - 34*x.\nAnswer: 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/30)\/((-1)\/35). Suppose z + c = -z. Let p = 143 - z. Round p to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20801.45 years to months.\nAnswer: 249617.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 - 145. Suppose d - 2 - j = 0. Calculate the remainder when 125 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37532 by 15.\nAnswer: -37532\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 20*s**2 - 33*s - 39. Determine b(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -5*q**4\/4 + 10*q**2 - 17. What is m in f(m) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) + 1934\/4. Let w = z - 284. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbx when three letters picked without replacement from {b: 7, x: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-2)*(12 + 100\/(-10)). Suppose -4*y + 3*y = -p - 2, -2*y = 5*p - w. Does p = 4\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/3 + 6*w**2 - 32*w + 128\/3 = 0?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115830 - -3?\nAnswer: -115826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (36 - (-21 + 33) - 51).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2, 3769, -0.2, -0.5, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*x = -25, -3*y = -5*x - 4 + 23. Let l(o) = o**3 + 3*o**2 + o + 3. Let a be l(y). Is a >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1402, 2802, 4202, 5602, 7002, 8402?\nAnswer: 9802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649629 is divided by 161725?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 + 2804*i**4 + 519916*i**3 + 9980220*i**2 + 46144800*i + 62424000 = 0. What is i?\nAnswer: -340, -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from izizziii?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/2*(-3)\/4. Let d(h) be the second derivative of -h**5\/20 - h**4\/12 + 6*h**2 + 3*h. Let c be d(0). What is the highest common factor of c and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13983, -27943, -41895, -55839, -69775, -83703?\nAnswer: -97623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) -2 (c) 2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Suppose -c*f - 3*t - 74 + 197 = 0, -5*t = 20. What is the units digit of f\/2 - 2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131322 + 10321033?\nAnswer: 12113021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2 - 5. Let p = 1 + x. Let v = 696 + -7650\/11. Sort -2\/3, v, p in decreasing order.\nAnswer: v, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60346\/(-2178) - -28 - (-5)\/((-220)\/8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k. Let f(w) = w**2 + 5. Let b(r) = -1 - 5 + 2. Let c be (-32 + 31)*10\/(-2 - -4). Let y(l) = c*b(l) - 4*f(l). Calculate y(q(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5449191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**4\/p*p*p**(-1\/3))**(-1\/11)\/((p*p**(-3)*p*p**(-3)\/p)\/((((p\/(p*p*p*p**(-2\/5)*p))\/p)\/p*p)\/((p\/(p*p**(2\/5)))\/p*p))) assuming p is positive.\nAnswer: p**(227\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.2 + 17. Let y = 0.8 - x. Let a = -2 - y. Put a, 1\/2, 0.4 in descending order.\nAnswer: 1\/2, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27997 is divided by 998.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from djjsjerejsjpsrsjj.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4130 times 37\nAnswer: -152810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 27*i**2 - 7431*i**3 - 9*i**2 - 12*i**2.\nAnswer: -7431*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59ec + -44?\nAnswer: -5a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - d - 298 + 290 = 0, 4*f = 3*d. Let i(p) = 2*p**3 - 2*p**2 - 11*p - 6. Calculate i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/20 + 49\/4. What is the greatest common divisor of 18 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/18)\/((-28)\/9 + 3). What is the hundreds digit of 133558\/(-172)*(-1 - k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 16 = -25*s. Let a(m) = m - 2. Let i(k) = k**3 + 3*k - 5. Determine s*i(p) + 5*a(p).\nAnswer: -2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53099836, -53099825, -53099812, -53099797, -53099780, -53099761, -53099740?\nAnswer: -53099717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16687 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 6)*(0*j**2 + 0*j**2 + j**2) + (5*j - 4*j + 0*j)*(0 + j + 0) + 3848*j**2 - 9211*j**2 + 4252*j**2.\nAnswer: -1106*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-817821)\/(-99) + 4\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -c - 29, -4*x - 4*c + 60 = 0. Let k be ((-20)\/(4 - 9))\/((-2)\/(-4)). Suppose 1344 = k*m + 6*m. What is the greatest common divisor of m and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 3. Let q be f(-1). Let z be (-2)\/(q + (-5)\/2). Suppose -l + 13015 = z*l - 3*h, 0 = -4*l + h + 10405. What is l rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 861 = -2754. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 589000 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39189081 to the nearest integer?\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3034150154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*f - 61, -6*f + 107 = -f + 2*u. What is the remainder when 41 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b**2 + 6*b**3 + b**2 - 8*b**3 - 12*b + b**3 + 30. Calculate the least common multiple of (-33)\/(-4) + 5\/(-20) and a(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*f + 200*f = -56 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/c)\/c*c\/(c\/((c\/(c*c*c**(-11)*c))\/c)) assuming c is positive.\nAnswer: c**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let z(r) = -2*r - r + 11*r. Calculate w(z(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 divided by -733?\nAnswer: -227\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543165467?\nAnswer: 3, 43, 103, 116141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*(p\/((p*p\/(p\/p**(1\/12)))\/p*p)*p*p)\/p*p)*p**6*p*(p\/((p\/p**(-1)*p*p)\/p*p))**(-20\/9) assuming p is positive.\nAnswer: p**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2405227 - -9504.0516?\nAnswer: -2395722.9484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48402 + -0.309.\nAnswer: 48401.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 202374?\nAnswer: -202373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 4*a**2 - 2*a - 3. Let w = 9 + -4. Suppose -4*s = 2*z - 8, -3*z + w*s - 28 = -z. Let v be i(z). Solve v*y = 10, 0 = 3*j - 6*j + y + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 210*w**2 + 806*w - 1599. Calculate x(2).\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 2, j: 1, i: 1, h: 1}. What is prob of picking 1 j, 2 f, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 0. Let i = 20 - d. Do -16 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 10*c + 2*c - 3*c = -17, 4 = -4*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Let r(h) = -7*h - 11. Give -24*p(d) - 3*r(d).\nAnswer: -3*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2788259*b**6 + 39816*b**2 - 12*b - 3?\nAnswer: -334591080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 1, 2 in decreasing order.\nAnswer: 9, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2855536930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8 - i**2 - i + 5 + 2*i**2 + 7. Let v(r) = -r. Let q be v(0). Determine j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -4. Suppose m*r = -0*r + 35. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5798*h + 8312 + 5796*h - 128.\nAnswer: -2*h + 8184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(0 + -5 + sqrt(1872) + (sqrt(1872) + -4)*1))**2.\nAnswer: -21600*sqrt(13) + 378450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 less than 3825\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.4 and -4640?\nAnswer: 4628.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794*t = -3*m - 1792*t + 24, t + 17 = 14*m - 2*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 38 = 34*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 4. Let j be (177 - 168) + ((-48)\/3 - -2). Let n(p) = -3*p - 7. Let x(r) = 2*r + 7. Let c(b) = 5*n(b) + 6*x(b). Determine j*l(i) + 3*c(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 times -51740?\nAnswer: 14694160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180)\/(-80) - 2\/8. Solve -d*w - 3*w = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*i + 375 = 0, b + 3*b = 4*i + 460. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5396*k**2 + 16180*k + 24.\nAnswer: -4*(k - 3)*(1349*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 403.5 + -403. Let x = 4 - 4.1. Which is the nearest to -1? (a) -0.5 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = 4, 2*n = -3*o - 13. Let l be (n - 2)*-3*(-12)\/(-36). Sort l, -7, -2, 14.\nAnswer: -7, -2, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/10 - m**4\/12 - m**3\/3 - 3*m**2 - 43*m. Find the second derivative of a(p) wrt p.\nAnswer: 36*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/13 + 42046*w**3\/13 + 3630578*w**2\/13 + 3588530*w\/13 = 0. Calculate w.\nAnswer: -85, -1, 0, 21109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0 + 0*f - 1)*(-53*f**2 - 17*f**3 + 53*f**2).\nAnswer: -34*f**4 + 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 + 5*b**3 - 5*b**2 + 5*b**3. Let x(j) be the first derivative of -21*j**4\/4 + 6*j**3 - 12. Determine -18*u(d) - 5*x(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, 3, 10 in decreasing order.\nAnswer: 10, 9\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451575508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*1\/2)\/(-11*18\/18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 309, 311, 313?\n\"Answer: 2*g + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:25 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -39. Suppose 1 = 2*u - 3. Calculate the lowest common multiple of u and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/19 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 146*o - 133 = 0. Solve 2*m + 15 = o*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/3 - 73*m**2\/3 + 1546*m + 10080 = 0.\nAnswer: -112, -6, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 2*w + 2*w)*(-2*w - 1 + 1) - w**2 - w**2 - 3*w**2)*(8*w**3 + 2*w**3 - 5*w**3)*(1 - 6 + 2) + w**3 - 466*w - w**5 + 466*w.\nAnswer: 134*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 10a824?\nAnswer: 10a822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1 + -4 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, v: 7}. What is prob of sequence wwv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let p(i) be the second derivative of i**6\/360 - i**4\/12 + 2*i. Let l(m) be the third derivative of p(m). What is d(l(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqbbe. Give prob of picking 1 q and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + k, 1 + 5 = 5*j - 3*k. Suppose m = -2*f - j*m + 30, -f + 5*m = -37. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 8}. What is prob of picking 2 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000101001111?\nAnswer: 1000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 2*o - 4. Let c(p) = 7*p**2 - 15 + 8*p**2 - 2*p - 5*p. Let g be -1*(-1 + (-23 - -2)). Determine g*q(y) - 6*c(y).\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-12)*9 - -5958 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-1 - -1)\/4. Let n be i\/(-2 - 122\/(-62)). Let w = n + 46. Solve 0 = 5*f - 2*k + w, 15 + 20 = -3*f - 4*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24718281043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6224556 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22833 and 14319.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -444687?\nAnswer: -444687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/((g**(-26)*g)\/g))\/g)**(-6\/19)\/(g\/(g*g*(g\/(g*g**(-24))*g)\/g*g)*g*g\/g**(-39)) assuming g is positive.\nAnswer: g**(-447\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 36 + 2*m + 4*m**4 + 33 to the form j + k*m**3 + x*m + f*m**4 + s*m**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 = 5*y. Let m = -10.29 - -2.89. Let n = 10.4 + m. Which is the third biggest value? (a) y (b) n (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12301 + -3?\nAnswer: -12310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(28)*2*-1)\/((sqrt(300)*-2)\/(sqrt(192)\/sqrt(4))).\nAnswer: -24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -27*q**2 + 2180*q + 570. Determine d(81).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11714 (base 8) in base 16?\nAnswer: 13cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 54, 62, 72, 84, 98, 114?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 387, 388, 389, 390, 391, 392?\n\"Answer: q + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 36*f + 3. Let y be n(-6). Let r be -3 + 9*(-4)\/(-6). Solve -2*o = y*i - 9, 0*o - r*o - 3*i = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3114 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 31) + 46 + -47?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 5774 divide 940421923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 8 = o, -k - 120 = -5*o - 82 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8238*n**2 + 677*n + 676. Let g be r(-1). Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-5 + 0 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31464*c**4 + 6*c**2 + 47*c - 13.\nAnswer: -755136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (63\/(-6) - 0)*-4.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/9 + 8\/9*k**2 + 14\/9*k - 2\/9*k**3 = 0. What is k?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 h, and 1 k when four letters picked without replacement from {h: 2, k: 1, g: 1, x: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5123592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12702327 divided by 21.\nAnswer: -4234109\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 534655265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 - 4 - 4 + 7*r**4 wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -771 - -861. What is the biggest value in y, -4, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -303?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -15. Let h(y) = -9*y**2. Let g(b) = -18*b**2. Let k(p) = c*g(p) - 9*h(p). Let f(v) = -10*v - 6*v + 17*v. Give f(k(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108038651?\nAnswer: 7, 15434093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6822635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16671936 and 4.\nAnswer: -16671932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 472042*a*z**2 - 2*a*z + 477771*z**2 wrt a.\nAnswer: 472042*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -9\/40*w**5 - 5\/84*w**7 + 1\/24*w**4 - 13\/60*w**6 + 0*w**2 - w + 0 + 1\/6*w**3. Factor h(i).\nAnswer: -i*(i + 1)**3*(5*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111347242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 48. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290241?\nAnswer: 3, 7, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 52. Let s(d) be the first derivative of -d**3\/3 + 2*d**2 + d + 1. Let c be s(3). Solve 0 = -n*x - c + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 119, 409, 971, 1895, 3271?\n\"Answer: 15*a**3 + a**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 5 - 60467\/(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 6925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2229179 decades to years.\nAnswer: 2.229179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/69 and 149\/2346.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 + 4 = 0. Let g be (10\/i)\/((-1)\/4). Is ((-4)\/g)\/((-2)\/25) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 200\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -606 + 606.00249. Round w to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = -5. Let u(t) = -2*t + 3. Let k = -125 + 129. Let a(g) = 2*g - 3. What is k*u(b) + y*a(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 443.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17062873 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 303*y + 5179. Let r be u(-17). Let a(z) be the first derivative of 5\/2*z**2 - 30*z - r. Differentiate a(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 1421 + 333. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114870 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*w + 540*w + 244*w + 118*w - 86152 for w.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Let v = 55 - 101. Let a be 180\/v + (-6 - (-16 + 6)). What is the third biggest value in -0.3, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1169 - -2090. Suppose 6*d - f + 333 = 0. Calculate the remainder when d is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -5*k - 234. Let r(l) = -21*l + 1. Give r(k).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326.4 + 323.4144. Let a = -3 - y. What is a rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5*t = 2*v - 28, 0 = 5*v + 2*t - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2899 + -2349. What is the greatest common factor of 1210 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 13 - 5 = 5*n, -2*o - 4 = 2*n. Does 26 divide (-1 - (n + 2)) + 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 111. Sort d, 2\/9, -13.\nAnswer: -13, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(567) + (sqrt(567)*-4 + -3)**2)*-4 - (-3*sqrt(567)*3 + 3)).\nAnswer: 819*sqrt(7) + 36327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d**2 + 7*d**2 - 13*d**2)*(-4*d + 2*d + d).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/90*(-4124 + -2). Let x = k + 229. Which is the biggest value? (a) x (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 3*f - 15. Suppose 0 = -0*q + f*q - 12. Suppose -q*c + 5*p + 30 = c, p - 10 = -c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 21*l + 47. What is u(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 13, -3, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r - 10. Let a be c(4). Let t = 9 - a. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {k: 3, e: 1, a: 6, l: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27.3824 nanometers?\nAnswer: 0.0273824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a53 (base 13) in base 15?\nAnswer: -7c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbbbbbbf. What is prob of picking 3 b?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 395698254 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -6507\nAnswer: -325.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -46. Let a = 47 - v. Calculate the remainder when 24 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l*v**4 + 2*l*v**3 + 6*l*v - l - v**4 wrt v?\nAnswer: -48*l*v**2 + 12*l*v - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 24*z**2 + 97 + 0*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71536 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238129?\nAnswer: 53, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + t + 0 + (1 + 0 + 0)*(-11*t - 83 + 83) to the form m + o*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 966.2309um?\nAnswer: 0.09662309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580202, 1160402, 1740602, 2320802?\nAnswer: 2901002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:02 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148868, 148869, 148870?\n\"Answer: j + 148867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (121 - 239 + 11*x + 110)*(-x**2 + 2*x**2 + 5*x**2) as b*x + d + t*x**2 + n*x**3 and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -5*l**9\/504 + l**6\/30 - 161*l**5\/60 + l**4\/24 + 50*l**2 + 2. Find the third derivative of r(g) wrt g.\nAnswer: -600*g**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 <= 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.14, -0.3, 6 in decreasing order.\nAnswer: 6, 3, 0.14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 380433373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -4817 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430.06 + 477.2. Round a to zero decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 5, i: 14}. What is prob of sequence iii?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 41424*t**2 + 41426*t**2 - 2*t**4 - 3*t + 2 - 9*t**3 to the form d*t**3 + k*t**4 + f*t + y*t**2 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s - 0. Sort -5, -8, 0, s in descending order.\nAnswer: 0, s, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/23, 13, 5, 0.3, 2, 1\/5, 86\/5 in decreasing order.\nAnswer: 86\/5, 13, 5, 2, 0.3, 1\/5, 4\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {b: 1, z: 2, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(300\/(-35)) + -1. Is y smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/5 - 212*c\/5 + 5618\/5 = 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + 3 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 705 - -3005?\nAnswer: 370a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(22\/(-55)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7 + d**2 + 6 - 13. Let p(v) = 4*v + 34 - 34. Calculate k(p(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, m: 1, t: 1, j: 10, c: 2}. What is prob of sequence mc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82230527 to the nearest integer?\nAnswer: 9068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-6)*(12\/32 - 3\/24)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q = 18*q - 258712. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13573879.87359 - 13573950. Let d = a - -0.15541. Let y = d + 70. What is y rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7\/46?\nAnswer: 7\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 i when three letters picked without replacement from ikkefefii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*s - 1619*s = -2688 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 440, 85, 16 in descending order.\nAnswer: 440, 85, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**8\/48 - 5*h**4\/24 - 5*h**2\/2 - 8. Let f(l) be the second derivative of c(l). Find the second derivative of f(y) wrt y.\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 1003*u + 7123. Determine f(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 31*b - 32*b + 93*b - 30*b. Let n(t) = -t**2 - 7508*t. Determine n(q(s)).\nAnswer: -4*s**4 + 15016*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44473541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120630 and 1320?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {k: 3, w: 2, d: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -45921\/4 equal to -11480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114.2 - -114.202274. Round g to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*v - 976*v - 1142*v + 275*v as h + m*v and give m.\nAnswer: -2147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 28 + 92 = 0. Let a(b) = -b**2 + 6*b + 9. Let p = -3 - -10. Let z be a(p). Solve 0 = z*j - 2*l - 8, -3*j + 5*l + r = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(10\/7)*p*p)*p\/(p*p**(6\/11)*p))**(-12)*(p**(-2)*p)**35\/(p**(1\/2))**31 assuming p is positive.\nAnswer: p**(-433\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -226 and -227 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 282*j**2 + 6*j - 5. Suppose -1 = -b + 134. Let k = -134 + b. What is the hundreds digit of f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55.51599 nanometers?\nAnswer: 0.00000000005551599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.05?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -7*w**4\/2 + 29*w - 15. What is the derivative of h(c) wrt c?\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0 + 1?\nAnswer: -1de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53 - -4?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/2, -2, -199, -5\/8, 41, -2\/15, 0.5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12271 + 1908 = 3553. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.57921 millennia to decades.\nAnswer: 6257.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let v(n) = 6 + 7 + 2*n + 9 - 18. Let l(o) = 3*a(o) + v(o). Let h be l(1). Is 3 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10525505212 + 1?\nAnswer: -10525505211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/12)\/((-8)\/(-18)))\/((-9)\/(-36))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13372719 is divided by 423.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/5))**(-2\/17)\/(h**(-3\/5)*h**1*h))**(-41) assuming h is positive.\nAnswer: h**(5453\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 176 - 1079. Suppose r - 5*y = 4*r - 65, 5*r - p = 2*y. Is 25 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3041 + 4?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984851 is divided by 3206.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150888*j**4 - 266825*j**2 wrt j?\nAnswer: -3621312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 36 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 621067 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 36 = -49*t - 3*m, 2*t = -2*m + 4. Solve 2*g - 3 = u, g - 2*g - 2*u - t = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/7))\/(f*f*f**9\/f))\/((f\/(f**(-1\/2)\/f))\/f)**32)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 21 + 16, -4*a + 17 = -p. Let l(d) = 3*d - 5. Let x(z) = z - 1. Give p*l(v) - 12*x(v).\nAnswer: -3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {p: 1, i: 1, b: 2, u: 5, r: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + -18.13. Let i = 3.28 + 14.61. Let o = f + i. What is o rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 92 = p. What is the greatest common factor of p and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75221535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*x**4 + i**2*x - 99*i**2 - 18*x**4 with respect to x.\nAnswer: 8*i**2*x**3 + i**2 - 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 33 - 1 = 3*b, -2*d = -d - 3*b - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(133)*-1)\/(sqrt(84)\/(sqrt(24)\/sqrt(2))) - -3*3*(2 + 1 + sqrt(19)).\nAnswer: 5*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*r + 11935 + 647, 0 = -2*v + 3*r + 8371. Suppose -10165 = -15*f + v. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 11 - 130*m + 1.\nAnswer: -130*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*s**3 + 0*s**2 + 175*s**3 + s**2 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - g = -50. Suppose -15 = -3*t + 4*v, 0 = 2*t + g*v + 5 + 8. Solve m = -5 + t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4*h - 2*h + 7, 2*g - 3*h - 14 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.056 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*a - 26*a + 3*a**2 - 470 - a**2 + 79*a**4 - 72*a**4 as b*a + r + d*a**2 + h*a**4 + m*a**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:46 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -85, -26873, 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 174113 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7118 and 12?\nAnswer: 42708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29150 by 1166.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:35 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m + 1753*m**3 - 2*m - 1794*m**3 + m**4 + 6*m**2 wrt m.\nAnswer: 24*m - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5115, -5119, -5119, -5109, -5083?\n\"Answer: a**3 - 4*a**2 + a - 5113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48770, -97540, -146310, -195080, -243850, -292620?\nAnswer: -341390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkd when three letters picked without replacement from {d: 3, k: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 168087, 336177, 504273, 672375, 840483?\n\"Answer: 3*k**2 + 168081*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + u - 12 = 3*u, -3*u = -f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**8\/3360 - b**7\/840 - b**6\/720 + b**3\/3 + 3*b**2. Let a(m) be the first derivative of d(m). Factor a(x).\nAnswer: -x**2*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/6*c**3 + 0*c**2 + 0 + 15*c. Let i(y) = y**2 + 5*y - 1. Calculate 11*a(w) - 2*i(w).\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161\/99 + -13\/9. What is the closest to 0 in 5, 4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -160 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336278 + 0.2.\nAnswer: 336278.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -66*f + 4. Let c(i) = -1. What is 6*c(o) + m(o)?\nAnswer: -66*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/(-3))\/(-1)*(-70878)\/(-460707)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307269\/5 or 61454?\nAnswer: 307269\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1 - 8\/6*-6) + -4 and 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.38. Let m = -0.04 + 0.54. What is the nearest to 0 in -5, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1558 - 5?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -12\/269 (c) 37 (d) 28\/13 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssfffssqqllsssqfly. What is prob of sequence sqf?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.4459 - 0.1059. Let b = -2 - 14. Let i = p + b. What is i rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3401 (base 16) in base 7?\nAnswer: -53546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 - 127*r**4 - 66*r**3 + 9*r - 1472.\nAnswer: -20*r**3 - 1524*r**2 - 396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 23. Let b be i - (2 - 2) - -2. What are the prime factors of ((-29)\/2 + b)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 5207789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*(k\/(k\/((k\/k**(2\/3))\/k)))\/k)\/k)\/((k**1*k*k)\/k))**(-47))**(-14) assuming k is positive.\nAnswer: k**(-7238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -4464\nAnswer: 17856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.35 and 191492611.521?\nAnswer: 191492609.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9220807ns in minutes?\nAnswer: 0.000000000048701345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -459, -511, -591, -693, -811?\n\"Answer: j**3 - 20*j**2 + j - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 a, and 1 f when four letters picked without replacement from {f: 2, c: 2, a: 8}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 2*r, -5*r + 0 - 3 = -z. Suppose 0 = -z*m - 2*j + 373, -4*m - 2*j - 2*j = -492. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 - 73*u. Let r(w) = 2*w**2. Calculate m(r(q)).\nAnswer: 16*q**4 - 146*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -40\/9 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/2 + 759*f**3 - 127764*f**2 + 7111689*f + 14480427\/2.\nAnswer: -3*(f - 169)**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 237 = 5583. Let n = z + -7127\/8. Factor -1\/8 - n*l**2 - 1\/4*l.\nAnswer: -(l + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/264)\/(-8))\/(3*(-7)\/42)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -4, 33, 0, 1 in decreasing order.\nAnswer: 33, 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 116\/(-12))*39. Let f = -384 - w. Which is the second biggest value? (a) 7 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1151 - 2.1151. Put b, -2\/21, -5\/4 in increasing order.\nAnswer: b, -5\/4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 - -73. Let t = 29 + h. Calculate the greatest common factor of 30 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 2531 (c) -2 (d) -0.1 (e) 9 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333411010 + -4?\nAnswer: 333411001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4 + 6 + 6*y + 4*y. Let g = 24 + -16. Let k(c) = 2*c - 7. Let x(o) = o - 3. Let a(t) = -3*k(t) + 7*x(t). What is g*a(z) - f(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = -43. Let g be -1 + 1\/((-3)\/(-2199)). Let k be g\/33 - 2\/11. What is the greatest common factor of p and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 48 = -14*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -14\/29 (c) 5\/24 (d) 1\/2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 1519843?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1013163709 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9475 and 0.3.\nAnswer: 2842.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11415241, 11415240, 11415239, 11415238?\n\"Answer: -k + 11415242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - 42?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -1256\/5, 3\/7, 174?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b - 30*b + 42*b - 236*b**2 to the form c + n*b**2 + z*b and give n.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 35355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/215100 and 109\/300?\nAnswer: 215100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 e, and 1 l when four letters picked without replacement from {y: 3, l: 4, n: 1, e: 8, v: 1}.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3. Let t be s(-1). Suppose 3*r = 4*z + t*r + 27, -33 = z - 5*r. Let q = z + 26. What is the greatest common factor of 72 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.145*-39.05\nAnswer: -5.66225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 5*j + 25. Suppose 0 = 61*n + 11 + 599. What is o(n)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 5.\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-18)*(-9)\/(-2). Suppose d + 3*w = -u, -17 = -d + 3*w - 2*w. Solve 5*x + 13 = -d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose 3*k = d*h - 35, 4*h + 7*k + 5 = 2*k. Let q = h + 30. Solve 3*j = 4*s + q, -2*j + 5 = -3*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 40 = -0*p. Solve 4*u = p*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 49*j**6\/30 + j**4\/6 - 9*j**3\/2 - 143*j. What is the third derivative of a(y) wrt y?\nAnswer: 1176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 5*k**3 - 26*k**3 + 14*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 155250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2 - (-6)\/(54\/(-45)). Is 13\/(k\/3318*-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 0 + -2 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534316 - 10*m**2 - 534316 - 3*m.\nAnswer: -10*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1300 - -1298. Let m = 0 + -5. Sort 1\/10, m, 4, r in decreasing order.\nAnswer: 4, 1\/10, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 3. Let d(s) = -2*s - 3. Let k(p) = 3*p + 2. Let z(r) = 5*d(r) + 4*k(r). Calculate the least common multiple of z(w) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 45*o**2 - 305*o - 299. What is b(-37)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 b when three letters picked without replacement from {u: 1, i: 2, b: 3, g: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.4971 - 21.596141. Let m = 0.099 + d. Round m to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*y - 3 + 2*y - 19*y.\nAnswer: -17*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53260, 106512, 159762, 213010, 266256, 319500?\n\"Answer: -h**2 + 53255*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 4*f - 2*f. Let w = 48 - f. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/61, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 303\/7 in 1\/3, -5\/3, -55?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36 = 3*s, -2*s - k + 20 = k. Suppose -5*f + 8 = -m - s, 0 = -5*m. Are f and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/29848960 and -41\/32.\nAnswer: 29848960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238004, -475156, -712298, -949424, -1186528, -1423604, -1660646, -1897648?\nAnswer: -2134604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from butqqco.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayczacscyzcco. What is prob of sequence zzco?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4\/14273 (c) -1\/3 (d) -0.04 (e) -5 (f) 0.4 (g) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -435.\nAnswer: -12180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 0.0786324.\nAnswer: -0.9213676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g - 2. Let f be l(-3). Let w be 33\/99*(-5)\/(25\/30). What is the units digit of (w\/5)\/(f\/3860)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43036 to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, 13\/2, -4\/3 in decreasing order.\nAnswer: 13\/2, 0.3, 0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11750, 23499, 35270, 47075, 58926, 70835?\nAnswer: 82814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k = 57*k - 198. Let a = 13 - -18. Suppose 0 = 5*t - a - 4. Solve -t*r + 4 = -k*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = z - 3, -4*f - 23 = -3*z - 0. Let b = 30 + -15. Suppose 0 = 4*q + 3*s - z*s - 4, -b = -q - 3*s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160\/3 - 54. Let j = -13 - -14.2. Let f = j - 1. What is the closest to 1\/2 in 5, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041632 rounded to six dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let r = 2.1 - n. Let k = -0.814 - 0.186. Which is the nearest to r? (a) 2 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 12*v**2 - 4*v - 18. Calculate h(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*b - 9, 2*b = 3*v - 0*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-44)*-2)\/((-6)\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 8:30 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -376525, -753055, -1129585?\n\"Answer: -376530*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c**3 + 4*c**2 + 2*c + 4. Let p(y) = y**3 - y**2 - y - 1. Let x(j) = -3*p(j) - r(j). What is x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10259 - 10258.3753. Let t = 0.599 - o. Round t to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.16 in -5, 1\/7, -1, 2\/35, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2007.000252 - 2007. Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -24*u - 228. Let j(f) = f - 13. Calculate b(p) + 18*j(p).\nAnswer: -6*p - 462","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 2*j**2 + 2*j - 1. Let b be f(2). Let p = b - 22. Suppose p = -4*x + 41. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 35616?\nAnswer: 178080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -383*t + 20 - 403*t + 5*t**2 - 387*t + 1198*t = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 25692?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 12434966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**4*p**2 + 10034*b**3*p**2 + 3*b**2 - 117*b*p**2 - 698*p wrt b.\nAnswer: 216*b*p**2 + 60204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1168761*x*z**2 + x + 4*z**2 - 229*z + 2 wrt x.\nAnswer: -1168761*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/110*(-120)\/(-96)*-2. Which is the biggest value? (a) j (b) 3 (c) -0.2 (d) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.33 + 2.23. Let w be 1\/(-2) + (-4)\/(-10). Let h = -2 + 3. What is the nearest to g in h, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10493 or 10495?\nAnswer: 10495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*v + 9 = 5*o, 48*o - 52*o + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 547100*x - 37414801250 = 0 for x.\nAnswer: 136775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524896 divided by 47.\nAnswer: -11168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - w = -3, w + 0 = 4. Suppose 5*x - q = -u - 1, x + 4 = -q. Let h be x\/(-2) + 22\/4. Solve 0 = 2*p - h, -40 + 13 = -3*z - 4*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 484892 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 11. Determine c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 189, 414, 727, 1128, 1617?\n\"Answer: 44*s**2 + 5*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoox when four letters picked without replacement from ooooooxxooo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -1197*n**5\/5 - 148*n**3\/3 + 11*n + 995. Find the third derivative of c(z) wrt z.\nAnswer: -28728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-112)\/20 + 26\/10. Solve 2*h + d + 11 = j, 4*h + 11 = -3*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-6) + -2 - 6460\/(-408). Let g(o) be the first derivative of k - 9\/4*o**3 - 3\/4*o**5 + 0*o - 9\/4*o**4 - 3\/4*o**2. Factor g(b).\nAnswer: -3*b*(b + 1)**2*(5*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.85, 10, -30187 in ascending order.\nAnswer: -30187, -0.85, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549265 less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 divided by -368?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 9*l - 10 - 8*l**2 - 2*l**3 - l**3. Let z be t(-7). Suppose -2*f = -z*j - 134, 0*j - j = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19393*y + 9697*y + 9676*y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = 4*m + 4*c, 0 = -2*m + 5*c - 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1063? (a) -0.5 (b) -2\/11 (c) -2\/7 (d) -5 (e) 874.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4486 - 3061. What is the remainder when s is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4082*i**2 + 22*i - 19 + 4083*i**2 - 8*i. Determine t(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84494 or -84509?\nAnswer: -84494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.32 - 0.32. Let s = 0.34 - 0.04. Let z = 87\/2 + -177\/4. Which is the closest to 1? (a) z (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54123124 (base 6) in base 7?\nAnswer: -16402030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31570*q**3 + 28474*q**3 + 9372*q**3.\nAnswer: 69416*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 1\/17 (c) -3\/589 (d) -5 (e) -0.2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 + 16 = 3*w, 3*y = 5*w + 3. Let c be (-1 + 3)*3 - w\/(-1). Solve -c*v = -4*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575025 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72288 divided by 48?\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1896 + 1003 = 223*j. Solve -38*c + 35*c = 2*z + j, -17 = 4*z - 3*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/31 (b) -3 (c) -25 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 5439037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 43*p + 308. Let m be o(-7). Solve -7*x + 21 = -m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500364, 2001434, 4503220, 8005722?\nAnswer: 12508940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*l + 22 = -l, 2*s = 5*l + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -529 + -4?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**5\/3 - q**4\/24 + 22*q**3\/3 - 29*q**2 + 3. Differentiate t(d) wrt d.\nAnswer: -40*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n**2 - 3*n + 8. Let i be q(6). Let g = -2867\/210 - -104\/21. Calculate the common denominator of i\/24 - (-2)\/(-8) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 48*v = 4*f + 191, -3*f + 63 - 56 = v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 2396*d**3 + 357592*d**2 + 364800*d - 720000.\nAnswer: 4*(d - 300)**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/42)\/((-11)\/(-385)*20).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 115. Let w be m\/(-3) + 275\/75. What is the highest common divisor of 135 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18689 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 1, 4?\n\"Answer: 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 45778640?\nAnswer: -45778627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -1, 3, 21.\nAnswer: -8, -4, -1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - -4 - (1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*a*c**2 + 206264*a*c + 2*a*j**2 - 3*c**2*j**2 - 4*c**2 - 3*c*j - 2225*c + 7*j**2 wrt a?\nAnswer: 7*c**2 + 206264*c + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.04 + -0.74. Let s = -3.81 - 0.19. Which is the smallest value? (a) g (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7774 is divided by 369?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/3 + 19*n\/3 - 20\/3 = 0?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 282\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*(-24)\/(-18). Suppose -b*c + 19 = -3. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k + 5. Let m be p(5). Let l = m + 14. Suppose -2*y - 2*y + 5*r + 194 = 0, y + r = l. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 82*l**2 - 424*l - 192 = 0.\nAnswer: -12, -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/5)\/(12\/(-40)). Suppose 1 = -2*c + 3, -i*u - 1201 = -5*c. What are the prime factors of 2\/7 + u\/(-7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6528 times -3926\nAnswer: 25628928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 bigger than 1595\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 15*h + 1\/12*h**4 + 1\/10*h**5 + 3\/2*h**2 + 0 + 1\/3*h**3. Determine u(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 991 = 271 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (7 - -1)) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from jeeemjjemeeppjwyemye.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**2 + 44*s + 54. Let x(h) = -11*h**2 - 43*h - 81. Let n(v) = -6*d(v) - 4*x(v). Solve n(g) = 0 for g.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/(-6)*6 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3944347.\nAnswer: 11, 31, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 1\/4, 9, 52?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 3*j. Suppose 0 = 2*x - l, 2 = j*l - 3*l. Is x smaller than -7\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201175.1 microseconds to seconds.\nAnswer: 0.2011751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddeeededdeeeeeeee. What is prob of picking 1 d and 3 e?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -485*r**3*t + 50326*r**3 - 109447*t - 237 wrt r?\nAnswer: -1455*r**2*t + 150978*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 2*r + 7*r**3 + 5*r**3 + 0 + 13 + 0*r**3.\nAnswer: 9*r**3 - 2*r + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 9*i - 2. Give x(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/3 + 1253*f**2\/2 + 2*f - 687. Let t(a) = -a**2. What is t(q(d))?\nAnswer: -4*d**2 + 5012*d - 1570009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 94?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - 1. Let o be f(-1). Let j(v) = -v**3 + v**2 + v. Let g(k) = -k**3 + k**2 + 3*k. Let q(i) = o*g(i) + 3*j(i). Factor q(h).\nAnswer: -2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 1 + y**3 - 1 + (-34*y - 25*y + 7*y)*(-4*y**2 + 5*y**2 - 3*y**2).\nAnswer: 105*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-35) + 0)\/((-969)\/(-37145))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 10*q**2 + 3*q - 24. Let d be m(-11). What is the common denominator of (3 + 15)\/(d\/11) - 4 and -13\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:38 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1*9\/(-6). Is (-3)\/(-2)*(s - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 - 26 - 20 - 17957*w - 19 to the form k*w + n and give k.\nAnswer: -17957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 2. Let n(o) = 226*o - 37 - 56*o - 11 + 10 + 25*o. Let c(t) = 2*j(t) + n(t). Differentiate c(r) wrt r.\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(3*y**2 + 0*y + 0*y)*(-20 - 6 - 13) to the form c + u*y**2 + m*y and give u.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 429742984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:41 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from vevvvevvppvvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 297379622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y**3 + 8 - 8)*(-y + y - y) + 0*y**4 + 0*y**4 + 2*y**4 + y**4 - 1 + 0 + 2.\nAnswer: 17*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:22 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.0386397, -3, 1.2 in ascending order.\nAnswer: -4, -3, -0.0386397, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -10. What is the closest to 1 in r, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s - 3. Suppose -5*u = -3*a + 25, -4*a + 4 = -u - 1. Let v be (4\/6)\/(8\/24) - 5. Sort v, a, s in descending order.\nAnswer: a, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273292789 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1499*p - 72582 = 2619 + 61208 for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**3 - 17*h**3 - 14*h**3 - 7*h**2 + 7*h**3 + 192 - 178 wrt h.\nAnswer: -84*h**2 - 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 525 + -1046. Let q = -517 - b. What is the second biggest value in q, 0, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*g + 12, -s = -135*g + 140*g - 42. Let p(r) be the first derivative of 0*r**s + 24 + 0*r + 2\/3*r**5 - 2*r**4 + 8\/9*r**3. Factor p(l).\nAnswer: 2*l**2*(l - 2)*(5*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.9785684 - 6.7414961. Let c = j + -0.2370433. Let a = c - 6. What is a rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.30583136 rounded to 3 decimal places?\nAnswer: 1.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5207.\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40316?\nAnswer: 2, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, -2.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934578 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 21. Let t = -4 - 9. Let j = t + 26. Calculate the remainder when y(-17) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1571495756 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 667393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.956 - -0.044. What is the second biggest value in 0, 2\/5, 0.2, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = -4*z, -z = 3*z + 4*v. What is the closest to 2\/17 in -0.3, z, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 15 = -3*a. Let h(j) = -j**3 - j**2 + 3. Let v be h(0). Solve -6*i - v = -a*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 675*m + 4970.\nAnswer: -5*(m - 7)*(m + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = f + 2*i + 1, f = -i + 1. Suppose -3*g + 153 = -f*g. Let a be 1\/(-1) - g\/(-3). Solve 30 = -5*o + 5*s, 0 = o - 4*o + s - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1231?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -386*r - 21. Is v(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -426.9599.\nAnswer: 2134.7995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*b = -0*a + 4, 0 = a - 3*b. Suppose -a*r + r + 10 = 0. Solve o**r + 0*o**2 + 0*o**2 + 1 - 2*o = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 151\/8, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q**4 - 5*q**3 - 3*q**2 - 137*q. Let n(c) = -9*c**4 + 3*c**3 + 2*c**2 + 68*c. Let t(y) = 3*h(y) + 5*n(y). Find the third derivative of t(p) wrt p.\nAnswer: 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.7917 - -0.0083. Let u = 51.80001145 - z. Round u to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, 19*k - 23*k = 5*f - 1168. Suppose 8412 = 25*l + k. Calculate the greatest common divisor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-105)\/154 + 1)*(-64)\/112. Let p = -1 - -1. Is p equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9 = 1. Let c be (-3)\/2 - (329\/(-42) - -7). Suppose 21*y = 8*y + 13. What is the third smallest value in y, 0.05, c, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 - 33*x + 39. Let k be m(3). Solve -3*g - 4*p - 14 = -k*p, 3*g + 29 = -4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -34 (c) 6 (d) -5 (e) -2\/3 (f) -70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67 + 7*b**4 - 67 + (5*b**3 + 3*b**3 - 5*b**3)*(-b + 3*b - b - 1 + 2*b + 1 + (-2*b + 4*b - b)*(5 - 3 + 0)).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q + 10. Let r be -5 - (-3 + 5 + 1*-4). Let o be v(r). Let j be ((-56)\/o - -1) + (-4)\/26. Solve 4*p - 36 = -4*h, 0*p = -j*p + 5*h - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -11228*w**2 + 5615*w**2 + 5616*w**2 + 264*w = 0?\nAnswer: -88, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k**(-2\/5)*k*(k**(-1\/4))**(-15)*(k*(k\/k**(-3))\/k*k**1)\/(k*k*k*k**2*k*k*k**(-1\/6)*k*k) assuming k is positive.\nAnswer: k**(-269\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 11 - 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5596*a**5 + 2*a**3 + 318*a - 54 wrt a?\nAnswer: 111920*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n**3 - 14*n**3 + 74*n**2 + 21*n**2)*(3*n + 0*n - n + (-2 + 2 + 2)*(2 + n - 2)).\nAnswer: -8*n**4 + 380*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 4. Suppose 4*c = 3*s - 2, 2*s = -c + 1913 - 1908. Let w(d) = -d - 1. Suppose 0 = 4*y + 6 - 2. Give s*w(i) + y*f(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 - s - 2. Let k be x(-4). Let v = 8 - k. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/((sqrt(60) + sqrt(240)\/sqrt(4))\/sqrt(12)))\/(-3*sqrt(14)\/sqrt(2)*-3) + 0.\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 763 = -4*z - 273, -5*z = 5*b - 1315. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106679647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7622 - -7625. Suppose 4*q = 4 + 4. Solve -q + t = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723950.7 weeks to minutes.\nAnswer: 7297423056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 28288?\nAnswer: 198016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.515876531 rounded to two decimal places?\nAnswer: -3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and -36.\nAnswer: -4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 935428695 less than 0.17?\nAnswer: -935428694.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*g. Suppose 4 = g*i - 0*i + 4*u, 3*i = 4*u + 6. Which is the biggest value? (a) -4\/7 (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/19)*a*a*a**(-2\/3)\/a)**(-9) assuming a is positive.\nAnswer: a**(-66\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44464 divided by 14\nAnswer: -3176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -33*b - 396. Calculate j(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:29 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.066 <= 44525\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - -1) + 5 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 455 and 63791.\nAnswer: 318955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmmmvmv. Give prob of picking 2 m.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 3*v - 8*v - 18*v**2.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from cpppc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*s + 4021036 - 4019920 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/17352 and -103\/5310.\nAnswer: 5118840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015.268 years in months?\nAnswer: 48183.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 6 = -12*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 + 79*i**2 - 17*i**2 - 21*i**2 - 16*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*-2*sqrt(1100))**2)*-4 - -4*(2*(0 + sqrt(99)))**2*-6.\nAnswer: -643108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(16 - 18). Let g(l) = 4*l + 8 + 2*l**2 - 6*l**2 + t*l**2. Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -117.\nAnswer: -117, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-4)\/(sqrt(192)*-2)*-3)**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -1687, -2634, -3587, -4546, -5511, -6482?\nAnswer: -7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4286514 centuries to millennia.\nAnswer: 0.04286514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 2*f**2 + 5*f - 10. Let b(z) = -2*z. Let m be b(-2). Let u be q(m). Let p = 26 + u. Solve -p*c = c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 = -c + 10, -5*c = 3*a - 23. What is the smallest common multiple of c and ((-2)\/(-8) + 90\/(-144))*-8*1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4919, -4666, -4411, -4154, -3895?\nAnswer: -3634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:27 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 49*g - 732. Let x be t(15). Solve 0 = x*i - 0*n + 3*n, 3 = -3*i - 4*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244 - 335. Let s = q + 589. Solve 3*i = i - s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 11. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + d = -1842. List the prime factors of d.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:28 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1070399.9 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7377347, 14754525, 22131703?\nAnswer: 29508881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-1890)\/(-36))*-30\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 489*y + 594. Let d(p) = 134*p + 170. Let n(o) = 18*d(o) - 5*r(o). Give n(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a26 - 2?\nAnswer: -2a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 2*p - 0, 4 = 2*q. Put -1, p, -5 in increasing order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 616\/98 + (-2)\/7. Let u(r) = 5*r - 28. Let f be u(x). Is 6\/7 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2*-1)\/(-2))\/(13*(-3066)\/546)\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*((sqrt(7) + 0)**2 + sqrt(7)))*1.\nAnswer: 3*sqrt(7) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*t + 28, 774*t - 15 = 771*t - 3*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 187.3*39.2405\nAnswer: 7349.74565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4*d + d + d)*(-17*d**2 + 69 - 69) to the form p + s*d + a*d**3 + b*d**2 and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3471, -3552, -3633, -3714, -3795, -3876?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*-3 - -8 - 2. Let t(x) = -11 - j*x**2 + 32 - 21. Let f(p) = -p + 1. Let m(o) = -85*o + 102. Let u(i) = -102*f(i) + m(i). Determine u(t(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/((-86)\/516)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let j(c) be the second derivative of 0 + 3\/2*c**2 - 3*c + 1\/2*c**3. Give -6*j(z) + 17*k(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 63*q - 74*q + 210*q**3 - 4*q**2 + 11*q**2 + 1. List the prime factors of t(2).\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 23*g**2 + 27. What are the prime factors of c(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1070, 3, -31 in ascending order.\nAnswer: -1070, -31, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/1 + -2)\/1. Let l(q) = 223*q + 1. Let p be l(k). Let a = p + -112. What is a rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/348 and 1\/66?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001643 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15113 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 + 249778*z**2\/7 - 249777*z\/7.\nAnswer: -z*(z - 249777)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - t**3 - 2*t + 2 + 2 as y*t**3 + s*t**2 + c*t + r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -4.117278?\nAnswer: 321.147684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529585660?\nAnswer: 2, 5, 47, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29521470 and -22.\nAnswer: -649472340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 538, -5, -3, 0 in increasing order.\nAnswer: -5, -3, 0, 3, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86059 is divided by 14330?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 6*m**2 - 49*m - 392. Let g be b(-7). Let l(w) be the first derivative of -1\/2*w**2 + 1\/9*w**3 - 29 + g*w. Factor l(p).\nAnswer: p*(p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, 0, 2 in descending order.\nAnswer: 4, 2, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*l + 2089 = 0, w = -8*l + 6*l + 2092. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/42)\/(-1*(-2)\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 212, 304, 400, 506, 628, 772?\n\"Answer: h**3 - 4*h**2 + 97*h + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -4862.\nAnswer: 25\/2431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24636?\nAnswer: 2, 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 0 - 4 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 + 41214080?\nAnswer: 41214130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 494302*q + 7414525. Give h(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 2659098*s**2 - 589228196235*s + 2356955330700 = 0. Calculate s.\nAnswer: -443185, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3.76, 0.7, -0.01845 in descending order.\nAnswer: 3.76, 0.7, -0.01845, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 5*l + 3. Let c be m(-2). Find the second derivative of -26*i + 0*i**c - 21*i**5 - 493*i**4 + 493*i**4 wrt i.\nAnswer: -420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = o - 1 - 2, 6 = 2*o - 4*k. Suppose 4*t + 6 = -m, 2*m + t + o = 2*t. Let r = 9334\/7 - 1334. Are r and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 46. Let j be g(17). Suppose j*t + 16*f = 18*f + 2964, -t + 4*f + 600 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 3*s**3 + 3*s**2)*(2*s**2 - 9*s**2 - s**2).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 841 or 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 + 0*w**2 - 10*w**2 + 16*w**2.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 1 - 5*n**4 + 0 + 5*n**2 - 3*n**2 + 2*n**4 to y*n + z*n**4 + o + f*n**2 + d*n**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*o + 3*o. Let s be (0 - o\/6)*6. What are the prime factors of (11 + -46)*s\/10?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 56 + 24 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 4. Let f be (-68)\/(-18) + 4\/18. Suppose 9 = -f*b - 7. Let y be l(b). Solve -g = -y*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 43*s + 3. Let r be k(3). Suppose 0 = -4*h + 200 + r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 3*h**3 + h + h + 15*h**3.\nAnswer: 15*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-2)\/(-6*sqrt(9)\/sqrt(3) + sqrt(3)) + sqrt(1100) + -3 + (sqrt(110)*-5)\/sqrt(10).\nAnswer: -3 + 31*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 6*w)*(2 + 0 + 6)*(-w**4 + 2*w**4 + w**4).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 13. Let u = 10 - d. Put 0.2, 3, u in increasing order.\nAnswer: 0.2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 7786?\nAnswer: 31144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t + 3278 = 69*t + 170*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100000001010100100010 (base 2) to base 7.\nAnswer: 223624502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5325454*q**6 - 453121*q**2 + 5.\nAnswer: -639054480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15004 + 46542. What are the prime factors of u?\nAnswer: 2, 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 3}. What is prob of picking 4 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-6)*57\/1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -609*q**5*w + 2*q**2*w**2 - q**2 + 10*q*w**2 + 3*q - 2*w**2 wrt q.\nAnswer: -12180*q**3*w + 4*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 231 = -0*w. Let g = 55 + w. Suppose 5*n - g = 146. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1994680 - -1994202.9412. Let m = y + 477. Round m to 3 decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 147942 = c. Let s be (-4)\/16 + c\/40. Let u = 1239 + s. Find the common denominator of -89\/6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 798284 - -11407. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38370785 to the nearest integer?\nAnswer: 6194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2057) + 4)*4 + sqrt(153)\/(sqrt(9)*2) + sqrt(833) + 5.\nAnswer: -249*sqrt(17)\/2 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11559 - 34662 + 11548 + 321*b + 11555.\nAnswer: 321*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 24*w**2 + 31*w - 17. Determine o(25).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*o = -6, o + 21 - 23 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 83 + 22 = 15*h. Solve -2*d = 3*u + 11, 13*d - h*d + 16 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.1 (b) 0.12 (c) -6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from {x: 7, s: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 324*z - 667 = -97 - 4785 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 20, 68 = -5*r + 2*h + 88 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2260849 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1240, -1, -4, 0 in decreasing order.\nAnswer: 1240, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(120)\/sqrt(4))\/sqrt(2))\/sqrt(5) - (sqrt(243)*-5 + 4)))**2.\nAnswer: -644*sqrt(3) + 6397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/77 + 822\/385. Sort 0.3, -0.1, x.\nAnswer: -0.1, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -1\/2 (c) 4\/7 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/44 - (-1597)\/4. What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -0.5 (b) -0.3 (c) 790 (d) -6\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*n - 6 = 2, n + 2 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35093 - 18730. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1978237\/27914436 + -16\/23497. Calculate the common denominator of f and 13\/44.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*i*v**3 - i*v**2 - i*v - 216*v wrt v.\nAnswer: 570*i*v - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1177 - -1563. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*((-2 + sqrt(448) + -4 - sqrt(448)) + sqrt(448)))**2 + (-3 + sqrt(448)*4 + -1)*2.\nAnswer: -7712*sqrt(7) + 39196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -6 - -3) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1195 (b) -0.2 (c) 2\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3012501600.8 and 0.1.\nAnswer: -3012501600.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12100210011011 (base 3) to base 2\nAnswer: -1010110111101111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3853 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 353*z - 1046. Let b be p(3). Let w be (-1)\/3*(-54)\/(-45). What is the smallest value in 4, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69.5 - 380.5. Let c = d + 156. Let g = c + 154.99999917. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 - 21*d. Let n be h(15). Suppose -n = -4*r + 4184. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(72)*-6)\/sqrt(6)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 1\/94 in increasing order.\nAnswer: -6, -2, 1\/94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*r**4 - 45*r*u + r - 147*u + 11 wrt r?\nAnswer: 52*r**3 - 45*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d**3 - 35\/2*d**2 + 0*d + 25\/6*d**6 + 0*d**4 + 24 + 0*d**5. Find the second derivative of a(m) wrt m.\nAnswer: 500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/29 - -166\/87. What is the nearest to 0 in 5\/6, f, 2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0. Let p = j + -0.6. Let h = -3 - 0. Is p >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhdhqhhqhhqh. What is prob of picking 1 d and 3 q?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 42*l = 4*i - 12, 0 = -3*i - 2*l + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**3*o*t**2 + 208*j**3*o*t + j**3 + 295*j**2*o - 2*j*o*t - 4*o*t**2 wrt j.\nAnswer: 42*o*t**2 + 1248*o*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 289*k**7\/42 + k**4\/6 - 11*k**3\/3 - 110*k. What is the third derivative of r(v) wrt v?\nAnswer: 17340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*z**(-9)\/z)\/(z**(2\/9))**(-1\/45) assuming z is positive.\nAnswer: z**(-43718\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790 + 1555 = -51*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flqllqltttfttqutl. Give prob of sequence quqf.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 11*d**2 + 13*d - 6. Let w be l(10). Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**6\/24 + 7*b**5\/12 + 5*b**4\/2 + 3*b**2 + 5*b + 57. Let j(l) be the second derivative of d(l). Factor j(f).\nAnswer: 5*f*(f + 3)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135\/4 - 69\/4. Suppose 0*r = 2*r + x + 18, -2*x = 0. Let v be 5 - (0 + r - 2). Is w < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - 4*t)*(-1 + 2 - 2)*(-t + 0*t + 0*t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2 + 2. Suppose c*s - s = 9. Solve -t = t - 2*p + 2, -t - s = -3*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 - 5*u - 3. Let z(n) = n**2 + 7*n - 3. Let g be z(-7). Determine b(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2. Which is smaller: -1\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(19)) + 5 + sqrt(19))**2 - (-6*sqrt(304))**2.\nAnswer: -10748 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h - 8 = -2*b, 2*h = 0. Suppose 2*y + g = 13, -5*y - b*g + 40 = -0*g. Calculate the least common multiple of 1\/4 + 78\/8 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(9\/24*4). Suppose -3*c - 5*i = -7, -10 - 34 = 4*c - 4*i. Let l be 2\/c - 16\/6. Let b(m) = -2*m - 2. Let d(h) = h + 1. Give l*d(o) + v*b(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 359904, 359892, 359856, 359784, 359664, 359484?\n\"Answer: -2*u**3 + 2*u + 359904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 35672?\nAnswer: -3567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 1. What is the remainder when y(-2) is divided by 2\/(-8)*-4*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 2058580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2765 divide 54739804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 184545?\nAnswer: -1\/61515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*z - 138 = 0, -2*v + 4*z - 6*z = -52. Suppose -22*c = -137 + v. Suppose -3*b = -2*b - 13. Solve -2*t + 5*d = -4*t + b, c*t + 2*d = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1805598, 0.1, 3?\nAnswer: -1805598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*o + 119, o - 43*o = 18*o + 3*k - 2232 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 928675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105964619.\nAnswer: 105964619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let h(j) = j**3 + 4*j**2 + 2*j - 2. Let g(y) = -h(y) + 3*x(y). Give g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-5))\/24*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (sqrt(252) + (sqrt(252)*-2)**2 - ((3*sqrt(28))\/sqrt(4) - sqrt(7))) + 4.\nAnswer: 4*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m + 16. Give g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 8 = 22*r. Let w be 20\/(-80) + r\/24. Let x = 3.6 + 0.4. Which is the nearest to x? (a) w (b) 1 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-137)\/23016).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54.6 + 54.602233. What is y rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/3 + 226*v**3\/3 + 224*v**2 + 2270*v. Suppose t(w) = 0. What is w?\nAnswer: -112, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**4 - o - 3 - 45*o**3 - o + 46*o**3 to the form q*o + i*o**4 + u*o**2 + s + z*o**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 226*c\/3 + 872\/3.\nAnswer: 2*(c - 109)*(c - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 6:49 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2213 = -10*y - 2113. Solve -11*x + 21 = y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Suppose -d*s + 24 = s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/9 - 14*p**4\/9 + 6*p**3 - 58*p**2\/9 + 20*p\/9 = 0. Calculate p.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -6*r - 3. What is the units digit of 6*3\/72 + (-206)\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/10)\/(9\/(-12)). Let z be (0\/1)\/4 + s. Let c(d) = -15*d. Is c(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*o + 13, -4*b + 11 = 4*o + b. Let n(d) be the first derivative of -d**3\/3 + 2*d**2 + 6. Let i be n(o). Solve -2*t - 3*t = i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from {c: 2, j: 1, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 - 7*c - 8*c**2 + 11*c**2 + 6*c + 2*c**3 wrt c?\nAnswer: 12*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 11:37 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316 by -158.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025659?\nAnswer: 1025659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 4. Let w be 1\/(1\/6)*1. Let k(b) = -13 + 10 - 35*b - 32 - b - 38. Let h be k(-2). Let u(p) = 1. Determine h*z(l) + w*u(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1247064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, -0.36, -20167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53613 is divided by 53567?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 160262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-7) + (-4)\/((-477)\/(-27) + -17)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 7570370*l - 2865525096845.\nAnswer: -5*(l + 757037)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.06, -3\/11, -0.14, -2.7?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + s**3 - 4 + 2*s**3 + 2*s**3 - 2*s**3 + (2*s - 2*s + s)*(2*s**2 + s**2 - s**2) + 2*s**3 + 0*s + 0*s - 2*s + 2*s - s**3 - 67 - 54 + 122 + 53*s**3.\nAnswer: 59*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419326.8 + 19.9.\nAnswer: 419346.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-142)\/(-16) + (-8)\/320*-5. Suppose 0 = 3*z - 3*u - 33, -7*z - 24 = -g*z + u. Let b = 10 - -28. Calculate the remainder when b is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -8 - (1 + -10) - (5 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 178656*b**2 - 357166*b**2 + 178516*b**2. Let v(g) = -g**2 + 2*g - 2. Let q(j) = 2*j**2 - 3*j + 3. Let n(w) = 2*q(w) + 3*v(w). What is n(l(d))?\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 + 130*x**5 - 1655*x**2 - 79*x**4 - 317*x**4 - 168*x**3 + 1639*x**2 + 110*x**5.\nAnswer: 2*x**2*(x - 2)*(11*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647222509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j - 13. Suppose -4*p - h = 20 - 67, 0 = 2*p - 5*h - 51. Let c be 2\/(j\/p - 0). Calculate the greatest common factor of c and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 1, l: 4, t: 1, o: 2, q: 1}. What is prob of picking 1 l and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from {j: 4, q: 3, s: 9, a: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -372100 (base 8) to base 4.\nAnswer: -133101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**2 + 9583 - 3195 - 3197 - 3191.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 69855016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:23 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2743419)\/28)\/(72\/(-480)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -5 - (-7 - (3 + -15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m + 151. Give o(19).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 351, 519?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 1538\nAnswer: -29\/1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -0.02, 2\/7, -42, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288600 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 2. Let b(w) = 7*w**2 + 2*w - 1. Let i be b(-2). Suppose 5*a - 62 = -3*r, -1 = -g*a - r + i. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000905 rounded to six dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/9 + 90410*g**4\/9 + 2353364*g**3\/3 + 183632696*g**2\/9 + 1591788016*g\/9 = 0.\nAnswer: -26, 0, 45283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.0439497, 2, 9\/2?\nAnswer: 0.0439497","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1199*s - 9. Let b(a) = -3557*a - 25. Calculate 6*b(v) - 17*w(v).\nAnswer: -959*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305324 and 3333.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4245 - -6763. Suppose -3*f + 6*f = 12. Suppose -2*u - 3*u + 6295 = -f*b, 0 = -2*u - b + w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 at most as big as 1257\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16751 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2 - 3*k + 4. Let d(q) = -16*q**2 - 9*q + 13. Let h(x) = 2*d(x) - 7*o(x). Let m = -3 + 6. Is 15 a factor of h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 53*n**6\/60 - n**4\/12 - 463*n**3 - 1732*n**2. Differentiate d(a) with respect to a.\nAnswer: 318*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9398 by -58.\nAnswer: -4699\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 16*o - 12 = -12*o, 5 = -5*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 94. Solve -4 = p*u - 4*f, -u + 0*u + 5*f - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -15. Suppose l + 3 = -o. List the prime factors of (-50)\/(-4)*(-8)\/l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519613 is divided by 4591?\nAnswer: 4583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.1. Let n = 0.09 + p. Let u = n + -0.03. Which is the third smallest value? (a) -1\/5 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32190 and 6430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/56)\/(-2))\/((-3)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239 - -259. Let s(y) = y + 7. Let o be s(-4). Suppose -2*f = 4*i - 88, 3*f - 53 = -o*i + 13. Calculate the least common multiple of p and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 306688 - 305922 + 378*n + 318*n wrt n?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2037172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(2 - 4) - (-3)\/3. Solve 3*u + r = -5*b + 8, 0 = -5*u + 5*b + 45 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3249 (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009992 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30261321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 5*y**3 + 8*y**3 - 12*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -430406, -430410, -430414, -430418, -430422?\n\"Answer: -4*h - 430402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -530352, -2121400, -4773146, -8485590, -13258732?\n\"Answer: -530349*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 - h + 1. Let m(a) = a**2 - a. Let z(c) = -2*c**3 - 3*c**2 - 4*c + 3. Let l(u) = 2*m(u) - z(u). Give 3*k(s) + l(s).\nAnswer: -s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**2 + 0 - 18*w - 11\/3*w**3. Let r(d) = d**2. Determine r(f(j)).\nAnswer: 484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -99\/1907099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 4 (c) 0 (d) -289 (e) -29\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-50)*(-175)\/10*(-4)\/(-2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5*x*x*x)\/((x\/(x*x**(-15)\/x))\/x))\/((x\/(x**(2\/7)*x))\/x**(-7\/4)) assuming x is positive.\nAnswer: x**(-489\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 102060 divided by 315\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {a: 12, i: 5, p: 1, c: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.137 + 1.167. Let g = a - -0.05. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2)*-20*(-8)\/160)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 21415\/9 in descending order.\nAnswer: 21415\/9, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, -7 in descending order.\nAnswer: 23, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-12)\/(-6))*(-3)\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 4780 (b) 5 (c) -2\/5 (d) 1\/5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**3*y**4 - 34*c**3*y**2 - 2*c**3 + 367*c**2 + 15951*y**4 - 2*y**2 wrt y?\nAnswer: 120*c**3*y + 382824*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {p: 6, q: 8, e: 2, v: 2, s: 1, c: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406 - -286. Let k = u + 59. Let d = -60.99917 - k. What is d rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202010220 (base 3) to base 16.\nAnswer: -8640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*h + 117*h - 840 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 7. Suppose 0 = -4*m + o - 19. Suppose 2*x - 1 + 7 = -r, x + 5*r + 12 = 0. Put m, x, -3 in decreasing order.\nAnswer: x, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-6))\/((-1)\/(-3)). Let p be b\/8 - 1\/4. Let z = 16 - p. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*j - 86*j - 37*j - 80*j + 17*j in the form v + u*j and give u.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1046 (base 16) to base 2\nAnswer: -1000001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k - 2*c - 214, 5*c = -15. Suppose -5*m + 3*b = -24 - 38, -m = -3*b - 10. What is the greatest common divisor of k and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 11) in base 16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79\/6 + -541\/42. Suppose -2*g = d - 7, -3*d = -4*d + 5*g - 7. Let -16\/7*t + 8\/7 - s*t**d + 10\/7*t**2 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x**5 + 0*x**4 + 0*x - 1\/3*x**6 + 2\/3*x**3 + 52 - 28*x**2. Find the second derivative of g(t) wrt t.\nAnswer: -40*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j**2 - 20*j - 198. What is h(-6)?\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129500*u**3 + 3682*u - 3?\nAnswer: -777000*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1329264)\/117288)\/((-16)\/100*(-10)\/12)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) -5 (c) -4\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 2*v, 5*f - v + 5 = 0. Let g = 30 - 32.1. Let n = g + 2. Which is the third smallest value? (a) 0.3 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589064 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -779*n**3 - 7*n**2 - 5*n + 8. Suppose -3 = w + o, -5*w + 4*o - 12 = -w. Is b(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 373324310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76.73 - 258.\nAnswer: -334.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 259.42 times 392\nAnswer: 101692.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 42*i = -38*i - 19, 2*r - 5*i + 29 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.6174 weeks to milliseconds.\nAnswer: 60248603520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 1080175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24678868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + sqrt(204)*-2*-2)\/(sqrt(192)*4).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342637 - 1293200. Let f = c - -950553.00003. Let j = -10 - f. Round j to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111011100 + 1?\nAnswer: -100010111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 4515, 35.\nAnswer: -7, 2, 35, 4515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let u(k) be the first derivative of 1\/3*k**6 + 0*k**3 + 0*k**5 - 1\/2*k**4 + 0*k + 1 + 0*k**q. Factor u(j).\nAnswer: 2*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -24. Calculate the remainder when 52 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17*c = -5*c - 12716. Calculate the highest common divisor of 68 and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 0.07?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 25.\nAnswer: -23\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/3 - 25520*v\/3 - 11201386 = 0. Calculate v.\nAnswer: -11269, -1491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1903 and 1.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -584, -581, -578, -575, -572, -569?\n\"Answer: 3*z - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17844521 is divided by 8922230?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11425*u + 9. Let g(v) = -5726*v + 5. What is -6*b(s) + 11*g(s)?\nAnswer: 5564*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 8:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**4 - 4*z**3 + 24*z**2 - 20*z + 10. Let r(i) = i**4 - i**3 - i**2 + i - 1. Let b(w) = j(w) + 6*r(w). Suppose b(x) = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -32 + (1 + 2 + -4 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -j, 12*j = 5*i + 17*j + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40315747799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -162.29606.\nAnswer: 324.59212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -217. Let i = -41 - w. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33817\/6 + -5649. Find the common denominator of -81\/10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2099*g**2 + 2347*g**2 + 6955*g**2 - 153827*g**5 + 160198*g**5 wrt g.\nAnswer: 382260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 83 + 63 = -124 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + -15.4. Let u = w - -19.6. Suppose 10 = -3*y + 5*y. Put u, y, -2 in decreasing order.\nAnswer: y, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((99\/2)\/(135\/(-45)))\/(120\/16).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**4\/12 - 5*m**3\/3 + 9*m**2\/2 - 2*m. Suppose 9*p - 62 = 19. Let q be n(p). Solve q = 2*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuuiuxqninxq. Give prob of sequence nc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 411*h**2 + 631*h - 3904. What is v(204)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -4, -84, 5133 in ascending order.\nAnswer: -84, -4, -1, 2, 5133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 4*m**3\/3 - 2*m**2 + 53. Let n(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*u + 16, -4*q + q - 5*u - 14 = 0. Suppose -q*w - 1 = 3*l - 8, 5*l = -w + 14. Solve 0 = -l*k - 2*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5244020 is divided by 602?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1003 or 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 9}. What is prob of picking 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 2*z + 2. Let p(o) = -13*o**2 - 9*o - 9. Let n(h) = 2*p(h) + 9*q(h). Let j(t) = -3*t + 96. Give n(j(i)).\nAnswer: 9*i**2 - 576*i + 9216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 47. Let x be 7\/d + 21\/(-6) + 3. Let b(m) = -m**2 + 4*m. Let s be b(4). Solve 12 = -4*z - 2*k, -x*z + s*k - 7 = 2*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10624*3\nAnswer: 31872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4342338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = -3*b. Let d be (-32)\/(-12) - b - (-6)\/(-9). Solve -4*l - 11 = -d*s, -s = 5*l + 15 + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**2*k**3*u**3 + 2*g**2*k**2*u**2 - g**2*u**2 + 333*g*k**3*u**3 + 3*g*k**3*u**2 - 136*u**2 wrt u?\nAnswer: 24*g**2*k**3 + 1998*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46239.\nAnswer: 3, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -2461, -4233, -6361, -8839, -11661, -14821, -18313?\nAnswer: -22131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.162, 2\/15, -2.41 in increasing order.\nAnswer: -2.41, 0, 2\/15, 0.162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -10. Let l = p + 13.12. Round l to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1443 in -1\/3, -0.5, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 1840.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43545 divided by -5\nAnswer: 8709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 7, -4 in descending order.\nAnswer: 56, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94827 - -0.0091164?\nAnswer: 94827.0091164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + 347*b - 48. Calculate l(-70).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38551133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g**2 - 8*g - 4. Let c(f) = 68*f**2 + 23*f + 11. Let l(i) = 6*c(i) + 17*x(i). What is the remainder when l(-2) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 22605936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2479 + 85*h - 2479)*(177 - 309 - 835 - 429 - 134) to the form k*h + d and give k.\nAnswer: -130050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/4 - 47341*f**3\/4 = 0. What is f?\nAnswer: 0, 47341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60611, -60585, -60521, -60401, -60207?\n\"Answer: 3*w**3 + w**2 + 2*w - 60617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7011 (b) -33 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2333*o = -2287*o + 368 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19303 + 19302. Which is smaller: -174\/23 or c?\nAnswer: -174\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - j = j, f + 5*j = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -91, -178, -279, -400, -547?\n\"Answer: -z**3 - z**2 - 77*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + h**2 - h + 5. Let k be (-6)\/21 - 88\/(-14). Let q be k\/27 + 4\/(-18). What is the remainder when m(q) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (9 + (-11 - -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.2. Suppose 0 = 5*s + 3*i + 1, -7*s + 15 = -2*s - 5*i. What is the nearest to 0.1 in -1, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5470.4 - -3915. Round s to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*t - 23, 5*j = t + 2*t - 19. Suppose 0 = -3*h - 5*h + t. What is the smallest common multiple of 1 and ((-6)\/(4 + -10))\/(h\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 - 7*c**3\/3 - 7*c**2\/2 + 13*c + 17. Calculate o(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0514013 less than 4.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -312*j - 1557. Let v be y(-5). Let s(o) be the third derivative of 0*o + 0 + 1\/24*o**4 - 2\/9*o**v - 21*o**2 + 1\/180*o**5. Let s(z) = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + 8*m + 61. Is 13 a factor of q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, m: 2}. Give prob of sequence xxmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3947 - -18186. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 4*r + 6*r)*(-1 + 1 - 2*r)*(-54 - 58 + 119).\nAnswer: -224*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -1217240?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.983004 days to milliseconds.\nAnswer: 257731545.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2167881 divided by -1?\nAnswer: 2167881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1\/1*-1. Let u be y\/6 + (-13060)\/12. Let w = -1598 - u. Round w to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 111130?\nAnswer: -111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuhhsuhhhus. Give prob of picking 3 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13992 and 4081.\nAnswer: 97944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 80448 = -95*r + 100*r, -i + 20112 = -2*r. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*m + 62. Suppose -2*j - 3*s + m = 0, 3*s - 14 = -j + 5*s. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220350121 plus -0.11?\nAnswer: -220350121.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 4, i: 2, f: 4}. Give prob of picking 2 f, 1 s, and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 203.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -174*c**3 + 2 - 14*c**3 + 2*c - c**2 + 38*c**3. Let h be y(-1). Let l = 636 - h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -20, -3\/7, 5, -0.054?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7881542 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = -4*x, 4*x + x = -h - 13. Suppose -i + 2*o = h, 3 + 8 = -2*i + 5*o. Round i to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 160*d**2 + 303 - 303 + (2*d + 4*d - 5*d)*(2*d - 3*d + 0*d) - 3*d - 2*d**2 + 3*d.\nAnswer: 157*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/4)\/(5\/(-32)*4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*k**2 - 62 + 62 - 6*k**2)*(0 - 7 - 1).\nAnswer: 536*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 33. Suppose -s - 3 = 0, 2*m - c*s = -11 + 24. Solve 4*g = -22 + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j - 6. Suppose -5*u - 15 = -5*t, 2*u + 3*t + 3 = 4*t. Let v(s) = s**2 + 13 + u*s**2 - 2*s + s**2. Let o = -5 + 11. What is o*v(h) + 13*f(h)?\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 - 2*j**3 - 14*j**4 - 4*j**2 - 15*j + 9*j**4 + 6*j**2 + 3*j**4 in the form i + q*j**4 + p*j + f*j**2 + g*j**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 8*v + 6. Let o be f(8). Suppose 0 = -13*x + 27*x - 28. List the prime factors of (2\/o*x)\/((-14)\/(-2667)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-5)\/((-20)\/12). Let z be (-3)\/(j*(-4)\/(-8)). Which is greater: 7 or z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + 1 + 0*l**3 - 2*l**3 + (0*l**2 + l**2 - 2*l**2)*(0*l - 2*l + 0*l) + l**3 - 2*l + 2*l + 0 + 0 + 3*l**3.\nAnswer: 7*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1 + 1)*0. Suppose -2*z + w*z = 0. Suppose 2*b - 7*b = 5*m + 30, z = -5*b - m - 26. Sort -1, b, 2 in increasing order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2. Let l(d) = -270*d**2. Give s(l(q)).\nAnswer: -145800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*1*5\/(-40)*-42*(-18)\/(-135)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*t = -88*t + 168*t. What is the nearest to 1\/4 in 1\/4, -3, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5246695709.\nAnswer: 5246695709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -45*3\/(-3*1). Suppose 5*i - c - 140 = 0, 11 = -i - c + u. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58)\/18 + (-6)\/(-27). Let x be 1*(-2)\/(-3)*p. Let t(a) = 7*a**2 + a - 2. Let n be t(x). Solve -2*u - 3*v = 14, n = -4*u - v + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 < 2193648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76351.55km?\nAnswer: 76351550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*h - 271, 2*h = -4*g + 3*h + 350. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssbssbn. What is prob of sequence ssss?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 8328*j - 569468. Give m(-69).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679745 is divided by 2056.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 6. Let o be (-12)\/36 - 1\/(-3). Let p be t(o). Suppose -4*x + 9*x - 20 = 0. Solve 4*w + x = p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -8076748.\nAnswer: 8076749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -24. What is the lowest common multiple of o and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -6\/23, -3, -46\/5, -0.01, -2\/11, -0.6?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -4 (c) 5 (d) -209 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5610 and 9826850.\nAnswer: 29480550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u + 1. Let d be (1\/(-2))\/(7\/(-14)). What is the lowest common multiple of ((-112)\/21)\/((-4)\/6*1) and f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + ((sqrt(2448) + (sqrt(2448) + 0 - sqrt(2448)))*6)**2.\nAnswer: 88138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -218.47 + 218. What is a rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:31 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5535908 divided by -7?\nAnswer: -790844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 2\/13 (c) 756 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x, -2*x - 3*x + 2 = 4*b. Let n be ((-48)\/20)\/b*-5. Is 7 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6191296 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-13)*p)\/p)**(10\/11)\/(p**(11\/2)\/p**(-2\/3)) assuming p is positive.\nAnswer: p**(-1187\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2299)*3 - (0 + sqrt(2299) + 1))*-6)**2.\nAnswer: 10296*sqrt(19) + 13987152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**7\/70 - u**6\/2 - 9*u**5\/10 + 5*u**4\/2 + 19*u**3\/2 + 4*u**2 - 13. What is m in g(m) = 0?\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 54*b + 5304.\nAnswer: -3*(b - 52)*(b + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1224 + -1182. What is the smallest common multiple of 336 and q?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*l - h, -h = -2*h + 3. Let r = 4 - l. Suppose 3*g = -4*q - r, 3*g + q = 6*g - 7. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1550.827 * -0.1\nAnswer: -155.0827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 9442?\nAnswer: 84978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let a(w) = 4*w + 8. Let m(l) = -a(l) - 8*h(l). Let z(q) = -3*q - 5. Let j(n) = -n - 2. Let c(o) = 5*j(o) - 2*z(o). Give c(m(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 39*s - 510. Calculate f(16).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, 0.1, -1740\/187?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*c**3*j*k**3 + c**3*j*k + 21*c**3*k**2 + 9030*c*j*k - 10*c + j*k + 7*j + 160*k**3 wrt k?\nAnswer: 312*c**3*j*k + 42*c**3 + 960*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k. Suppose k = -v - 0*v. Let w be -3 + 0 - (-198)\/55. Is v > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1))\/h)**(-3\/20))**(3\/31)\/(h\/(((h*h**(-2\/3))\/h)\/h)*h\/(((h\/h**(-9))\/h)\/h))**12 assuming h is positive.\nAnswer: h**(32249\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*p + 8 + 19, -y - 37 = -5*p. Let h = 4 + p. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 - 308 = -4*d + 3*q, -d - 2*q = -132. Let z be 67\/d + 1\/(-2). Solve -2*y = -y, z = -3*a + 5*y + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6185.\nAnswer: 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-5 - -8 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Let f(j) = j**2 + j - 4. Let x = 3 + 4. Calculate the remainder when f(b) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*h - 316, -83 - 329 = -5*h - 2*d. Let m be (-6)\/(-9)*h\/98. Factor 0 - 1\/7*j**3 + m*j**2 - 4\/7*j.\nAnswer: -j*(j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + -16)*(2\/11 + (-616)\/726). Let r = -29 + 67. Let -85*o**2 - 10*o - 25*o**3 - r*o + l*o = 0. Calculate o.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -4 (c) 79 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13336, -26644, -39898, -53098?\nAnswer: -66244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5)*j*(j**1\/j)\/j*j)**(4\/11)*(j**2*j)\/(j\/(j*j**0*j))*j\/(j\/(j*j\/(j*j**(4\/5)))*j)*j**(-3\/5) assuming j is positive.\nAnswer: j**(283\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y. Let n(f) = f**2 - 1. Let v(q) = q**3 - 4*q**2 + 3*q - 1. Let m be v(3). Let b(k) = -7*k**2 + 5. Let d(o) = m*b(o) - 5*n(o). Calculate d(h(g)).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 1. Let u be z(-1). Suppose -2*o + o + 179 = 4*v, 2*v + o = 89. Calculate the greatest common factor of u and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144623897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - y + 2. Let a be g(-2). Suppose 8 = -2*w, -t + 4*w = 4*t - a. Suppose -5*b + 2*o + 755 = t, 6*b - 3*b - 427 = -4*o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 45785207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0\/3 - -9. Let q(w) = -w**3 - 2*w**2 + 2*w + 2. Suppose 2*m + 13 = 7. Let r be q(m). What is the greatest common divisor of r and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**3 - 3*c**2 - 2*c - 3. Let m be z(2). Suppose 5*x + m = 41. Solve -5*a - 11 = i, -5*a = 3*i - x*a - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Is (-123)\/(-9) - 2\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -325 - 420. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 137*j**2 - 87*j - 41. What is w(28)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**7\/1260 - y**4\/12 + 2*y. Let g(u) be the third derivative of d(u). Let t(q) = -7*q - 9*q + 13*q. Calculate t(g(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5664551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 4*k**2 + 142*k - 3*k**3 - 134*k + 23. Let p be y(-5). What is the derivative of -22*v**2 + p + 9 - 1 wrt v?\nAnswer: -44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + 1*(sqrt(192) + -2) - (4 + 2 + sqrt(192))*-6)**2 + 2)*-3.\nAnswer: -63396 - 22848*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 3*w - 24)*(-2 + 2 + 3*w)*(-2*w - 3*w + 4*w) to a*w**3 + h + u*w**2 + p*w and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**3 + 35*b**2 + 4. Let z(v) = 17*v**3 - 105*v**2 - 11. Let h = 40477 - 40473. Calculate h*z(g) + 11*a(g).\nAnswer: 2*g**3 - 35*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.1 + 64.8. Let q = i - 74. Let s = 71\/3 - 23. What is the third biggest value in -1, s, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 130 - 10 = 0. What is the least common multiple of (-4)\/(-2)*(-174)\/(-12) and d?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*2\/4 + -6. Let l(k) = -10*k**2 - 290*k + 7. Let n be l(-29). Let t = i + n. Is 10\/3 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3453141, -6906282, -10359425, -13812570?\nAnswer: -17265717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122113 (base 6) to base 7.\nAnswer: -43422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3666 and -23\/91?\nAnswer: 25662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 10*s + 22. Let c be r(-12). Let w be (8 - 2\/c)*(0 - -1). Put w, -10, -1 in increasing order.\nAnswer: -10, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 4*p - 26, -11 = 5*i - 53*p + 56*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34b (base 13) to base 11.\nAnswer: -479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434597, 1738798, 3912605, 6956018, 10869037, 15651662, 21303893?\nAnswer: 27825730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:51 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22705091 minus -983215?\nAnswer: 23688306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 90*a**2. Let n be y(1). Suppose 4*x = -x + n. What is the units digit of (-15)\/2*(-48)\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1260 and 163395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + 2*sqrt(153))*-5*1 + -3)**2.\nAnswer: 1320*sqrt(17) + 15784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:52 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/2 + 8*c**3 + 55*c**2\/2 - 72*c - 288 = 0.\nAnswer: -8, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001305945254 rounded to six dps?\nAnswer: -0.001306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 3950?\nAnswer: 221200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1299*g**3 + 2*g**2 - 2*g - 791. Let c(o) = -o**3 - 2*o**2 + o - 1. Let p(k) = -c(k) - l(k). What is the second derivative of p(b) wrt b?\nAnswer: 7800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 + 4*j - 4. Let p(s) = -7*s**2 + 5*s - 5. Let m(h) = -5*k(h) + 4*p(h). Let y(n) = n**2. What is m(y(o))?\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 9*a - 8. Let t be u(-7). Let g = -10 - t. Solve 2*x - 6*x = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 876, -1, 125786 in increasing order.\nAnswer: -1, 876, 125786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/7 in 5, -0.2, -2, 2\/3, -2.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 563868 divided by 5221\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -636018, -636022, -636026?\nAnswer: -636030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16361962322950 and 0.5?\nAnswer: 16361962322949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*i - 599*i - 440*i.\nAnswer: -982*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a - 6*a - a**5 + 7*a**2 + 12*a**5 wrt a?\nAnswer: 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**2)**(-49)\/((x*x**(-3\/4))\/x**(1\/7)) assuming x is positive.\nAnswer: x**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.02683799 + 195110.05616201. Let p = 195316 - w. Let f = p + -205. What is f rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 15. Let k be y(0). Let p be (-3)\/k + 302\/10. Suppose -i + 47 + p = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 13949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:26 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4 - 104770392*m**3 + 914736148549056*m**2 - 2662144721551757916648*m - 7986442397283439492356 = 0.\nAnswer: -3, 8730867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11951 - -11950.95. What is the closest to -1 in 4, b, 5\/2, -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128643*m**3 - 17*m**2 + 784 - 44*m**2 + 266*m + 128644*m**3 = 0. What is m?\nAnswer: -2, 7, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2730\/280 - (-3)\/(-4) - 25 - -2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*k + 936, 0 = 4*u - 5*k - 3538 - 173. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/450 and -95\/804.\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) 0.2 (c) -3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8401 = -3*p - 0*p - 5*c, -11210 = -4*p + 2*c. Let k = -955 + p. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 23 = -j, 2*h - 3*h - 2*j + 1 = 0. Let l = 7 + h. What is the second derivative of -3*q**4 - l*q + q**3 + 0*q**4 - q**3 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002647197179 to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 - 4*h**3 + 3*h**3 + (-h + h + 2*h**2)*(-h - 2*h + h))*(-80*h + 170*h - 120*h) to the form w + r*h**2 + k*h**3 + z*h + s*h**4 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 - 7*j**5\/60 - j**4\/24 + 3*j**3\/2 + j**2. Let h be b(7). Solve -4*u = -h*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (28 - -1) - -23?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z. Let p(f) = 3*f. Let d(u) = 9*p(u) + 4*t(u). Give d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2266 - 447 = -2*j - m, 4*j = 2*m + 5414. Are j and 1365 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgtq when four letters picked without replacement from qgpppptbq?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 85*d**3 - 8*d**2 - 5*d + 49. Is c(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149011.24 + 3417.66. Let g = -152428.88899959 + o. Let h = 0.011 - g. What is h rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2)\/(-6) + ((-16)\/10 - 28320\/(-7200)). Let 0*v - 1\/4*v**5 + 1\/2*v**4 + v**i + 7\/4*v**3 + 0 = 0. What is v?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/21 - (-33)\/9. Suppose -l*b = -2*b - 24. Is b\/(-2) + -5 + 52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.9, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:10 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 24?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 68*h\/9.\nAnswer: -2*h*(h - 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 - -294.4?\nAnswer: 294.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144218820 not equal to 144218820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53007 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 2964 = -696. List the prime factors of y.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/5 - 2898*j**2\/5 + 42958*j\/5 + 70944\/5 = 0.\nAnswer: -739, -3\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*(22\/(-8) - (7 - 9)). Let m be (-6)\/(-42)*3\/(w\/6). Let o = 1 - 0. Which is the closest to m? (a) 2\/3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 17*n + 4836 - 26078. What are the prime factors of n?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13826, 55892, 126002, 224156?\nAnswer: 350354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407999246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1074*q. Let m(t) = 2*t**2. Calculate m(s(k)).\nAnswer: 2306952*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*q - 2 = 16, 4*x - 12 = 4*q. Let d(v) = v - 3. Calculate the lowest common multiple of d(6) and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + 109 + -208 + (1 - (1 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*d + 7*d - 360 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*q - 9, -q - 22*s = -34*s + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2881091.\nAnswer: 1152436.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 798781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3))**(1\/3)\/((k**(-1\/6)\/k)\/(((k\/((k**(2\/63)\/k*k)\/k))\/k)\/k)) assuming k is positive.\nAnswer: k**(73\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2694 is divided by 218.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y - 41*y + 4727924 + 11668573 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -41*p**2 + 99*p + 7. Let a(o) = 40*o**2 - 99*o - 6. Let t(f) = -7*a(f) - 6*z(f). Find the second derivative of t(g) wrt g.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2619 and 43839.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2934703 + 13482?\nAnswer: -2921221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -0.79. Let l = -4.2 - h. Which is the biggest value? (a) -8 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5673, -7022, -8371?\nAnswer: -9720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -14499)*49\/19. Let y = 10334547\/266 - f. Let d = y + -1453. Find the common denominator of 17\/8 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/30*10*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 - 2*u**2 + u. Suppose 2*k = -k + 5*a - 7, 0 = -2*k - a + 4. Give h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 7, x: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -47835*k + 81 + 27 + 47815*k. Let l be n(5). Solve 0 = -13*z + 9*z + l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000 and 365405750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**3 - 9*h**2\/2 + 2*h + 1882. Calculate u(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(17) - (2*sqrt(187))\/sqrt(11)) + sqrt(17))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-27)\/(-9) + 4\/(-2)). Let f be (-6)\/(-10)*(-2)\/y. Put 2, 20, f in ascending order.\nAnswer: f, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103161 (base 8) in base 13?\nAnswer: 12886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) 4 (c) -0.1 (d) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -49*l**5\/20 - l**4\/3 + 86*l**2 - 139*l. Differentiate o(w) with respect to w.\nAnswer: -147*w**2 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6547966.\nAnswer: 2, 3273983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5598 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose -9 = -y - v*y. Suppose 0*h + h = y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 31 - (-1 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-1 - (-7 + -2)). Suppose -w*o = z - 35, -o = 2*z - 0*o - 34. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3*7\/(-35))\/((-13)\/(-78))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-22)\/(d\/d**(-33)))\/(d\/(d*d**(12\/7))*d\/d**(7\/2)) assuming d is positive.\nAnswer: d**(-725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 - 6*x + 4. Let k be i(6). Let r be (2 + -2)*(-2)\/k. Suppose -3*f + 4*g + 32 = r, -2*g + 6 = -5*f + 36. Let n(t) = t - 4. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5181 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -14. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28798*z**2 - 5*z**3 - 28790*z**2 + 2*z**3 - 28781*z**2 + 86369*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**5\/30 - i**3\/9 + 2*i + 6. Let f(t) be the first derivative of w(t). Factor f(n).\nAnswer: 2*n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 82 = 7*w, 6*w + 2*w + 11*v - 4*v - 64 = 3*w + 9*v for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 2*z - 5*z**2 - 5*z + z**3 - 3. Suppose -y + 50 = 4*y. Suppose -4*n + y = -2*n. What is k(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 - 2.176. Let k be ((-8)\/(-6))\/(56\/(-12)). Is w at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6\/23, -1, 3, -204, 0.4, 2?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4728 is divided by 673?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = 5*y - 7, -3*y = -4*u - 16. Suppose 4*g - g = -4*p + 68, -y*g + 3*p + 49 = 0. What is the lowest common multiple of 28 and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899 and 3224684.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14227 + 0?\nAnswer: -14227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**2\/2 + 3*z + 3. Let i be d(0). Suppose -i*p + 154 = -n - 215, -372 = -3*p + 2*n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 3*d + 5. Let o be i(0). Suppose -4*q = -o*q - 5*x + 18, 29 = 2*q + 3*x. Calculate the greatest common factor of q and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/7 and (-4)\/(-6) - (-399)\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 + 57 = 35*p + 472*p. Let b(u) be the second derivative of -31\/2*u**p + 25\/6*u**3 + 0 - 40*u. Differentiate b(k) wrt k.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -c4347?\nAnswer: c4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2997 and 46916?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 56*t + 282. Let j be q(-5). Let d = 6 - 6.1. Which is the closest to 0.1? (a) d (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 64*r + 64. Determine b(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 81 - 9. What is the remainder when 30 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 30 = 18*u + 3*v, v = u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 - 765\/(-25). Let m = -30 + o. Solve f + m = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000203591924 rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from {k: 7, h: 7, o: 2, z: 1, p: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154 * -0.1.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 4. Let y(r) = -3*r + 4. What is y(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 times -0.11\nAnswer: 0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 5*d**2 + 3*d - 3. Let j(n) = -n**2 + 0*n + n - 1 - n. Let i(v) = g(v) - 6*j(v). Let t(x) = -6*x**3 - 3*x**2 - 8*x - 8. Give 8*i(b) + 3*t(b).\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 2040 - 3*x**3 + 0*x**2 + 15*x - 2040 as k*x**2 + l*x**3 + a + i*x and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 46*j + 341. Suppose -3*c - 2 = -2*d + 18, -5*c - 4 = 4*d. What is the remainder when w(-7) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*a - 28*a**2 + 342*a.\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 8*o**2 - 6*o + 12. Let q be (-9)\/(27\/(-6)) - (12 + 36\/(-6)). Determine i(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 386?\nAnswer: 11194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 25 - 39. Let m be 6\/f + (-74)\/(-16). Suppose -3*c + 7 = -m. Let v(q) = -3*q - 2. Determine v(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84139 and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 30*l - 11*l)*(3*l**3 - 26*l**3 - 4*l**3) as b + n*l**3 + h*l + o*l**4 + j*l**2 and give o.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o + 4*o - 68 - 6*o - 11.\nAnswer: -22*o - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7013 + -91167\/13. What is the nearest to 1\/4 in 15, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmig when four letters picked without replacement from {b: 1, i: 7, m: 3, g: 4, l: 3}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, -1.7, 10\/27, 1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -56. What is the common denominator of 24\/22*54\/x and 41\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -19. Let b(y) = 71 - q*y**3 - 33*y - 5*y**3 - 38. Let k(a) = a**3 + 2*a - 2. Let h = 43 + -41. Calculate h*b(j) + 33*k(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/490 + 112\/(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4681 - 56099\/12. What is the common denominator of -163\/264 and o?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2. Let c(w) = -272*w**2 - 21*w + 3. Let t(m) = 50861*m**2 + 3934*m - 562. Let o(i) = -562*c(i) - 3*t(i). Determine o(u(q)).\nAnswer: 7025*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 11\/3*h**2 - 5\/3*h.\nAnswer: (h - 1)*(11*h + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*j - 8. Let w(g) = 0*g + 0*g + g**2 - 2*g**j. Let x(v) be the second derivative of v**3\/3 + v. What is x(w(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 2*d. Let p be j(-1). Let a be -4*(-2)\/(-2 + p). Let l(u) = -u - 2. Let t be l(a). Let f(n) = n**3 - n**2 - 3*n + 2. Give f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3361556 is divided by 409.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - n)*(6*n - 3*n - 4*n) + n + n**2 - n - 56*n + 17*n**2 + 56*n.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15))\/(2\/10). Solve 0 = -w - 3*n + 14, 4*w + v*n = -0*n + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = 34*x + 277*x - 1620 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216 - 1137*l + 85 + 131 to the form b + a*l and give a.\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33524 and 17748.\nAnswer: 301716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -222331602?\nAnswer: 222331564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + 245 - 89 - 118.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*q**2 + 4*d*q - 2*d - 136*q + 1386 wrt q.\nAnswer: -2*d*q + 4*d - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.3 + -34. Let c be (-8)\/6*(-6)\/(-4). Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9968?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/78 - 2*x**3\/39 + 10*x. Factor v(n).\nAnswer: 2*n*(n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -454329*x**2 + 5325*x - 1065. Let m(g) = -854*g**2 + 10*g - 2. Determine 2*b(u) - 1065*m(u).\nAnswer: 852*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gii when three letters picked without replacement from giggggig?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-8988)\/(-52) + 1. Let h = s - 20871\/130. Calculate the common denominator of -75\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7102946 to the nearest integer?\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 420969149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -551.\nAnswer: -551.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:54 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5373967 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*l - 84. Let o = 62 - l. Suppose o*g - 154 = -2*g. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -523 by 4.\nAnswer: -523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2. Let f(c) = 6*c. Let g(a) = a. Let k(o) = -6*f(o) + 34*g(o). Give y(k(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1632*k**2*w**3 - 11*k**2*w**2 + 1580*k**2*w - 51*k**2 - k*w**2 - 2*k*w + 2 wrt w.\nAnswer: -9792*k**2*w - 22*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8)\/(2\/(-28))*4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/35)\/((1443\/130)\/37)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 14 + 46. Suppose 0 = 4*j - 0*j - n. Factor -2\/5*l + 4\/5 - 2\/5*l**j.\nAnswer: -2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*z + 21*k - 25*k, 5*z + 5*k = 50. Suppose -5*x + 14 = -41. Calculate the smallest common multiple of x and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6021 divided by -223?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -62, -81, -100?\n\"Answer: -19*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6749897 and 1372?\nAnswer: 26999588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017351 (base 9) in base 16?\nAnswer: -84aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/(-2))\/5)\/((-6)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25011451 to the nearest one hundred thousand.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(126)\/sqrt(3) + sqrt(42)))\/sqrt(6))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209*d**5*i + 2*d**2*i + 20*i - 5 wrt d.\nAnswer: -12540*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12969779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96208, 96212, 96216?\nAnswer: 96220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 387137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -118*t + 8. Calculate o(1).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318 - 295 + 396)*(3 - 1 - 8)*(-2*v + v + 0*v).\nAnswer: -1302*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38\/152)\/(14\/8 - 1). Which is the second biggest value? (a) -1 (b) 0 (c) -0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:40 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.9 - -3.9. Let v = -61044270 - -61044301.000013. Let r = v + t. Round r to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 37. Suppose g + z*x - 4380 = 0, 2*g - 8784 = -0*x + 4*x. Suppose g = -5*u - 6714. Round u to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 24. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 3*g + 2. Let t be ((-4)\/10)\/((-1)\/5). What is the remainder when l(t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81290885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19936 + 3956 = -5*h. What are the prime factors of h?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -54, -80?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52\/3 + -18. Which is the smallest value? (a) -1 (b) 2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*(a*a\/a**(-3\/11))\/a)\/a)\/(a\/(a\/((a**(5\/6)*a)\/a))))\/((a**(-1)\/a)\/a)**(-4\/7))**(1\/40) assuming a is positive.\nAnswer: a**(-127\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 + k - 1. Let z be w(5). Let v = -4 + z. Suppose -y = -6*y + 5. Solve v = -2*r + 5*s + y, 4*r - 5*s = -2*s + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 42*w - 30. Let q(l) = -2*l + 2. Let y(b) = 2*d(b) + 30*q(b). Let t(p) = 7*p + 22*p**2 - 7*p - 20*p**2. Give t(y(g)).\nAnswer: 1152*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330763649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)\/(i\/((i*i\/(i\/i**(2\/13)*i))\/i*i*i))*(((i**(4\/13)\/i)\/i)\/i)\/i**(1\/20) assuming i is positive.\nAnswer: i**(-1973\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -272696, -272701, -272710, -272723, -272740?\n\"Answer: -2*f**2 + f - 272695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161534 and 1052.\nAnswer: 84966884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468543290?\nAnswer: 2, 3, 5, 2749, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6536 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 528318*z + 3698275.\nAnswer: -(z - 528325)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.905 rounded to one dp?\nAnswer: -71.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132516 and 8.\nAnswer: 265032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/115 and 95\/2520662.\nAnswer: 12603310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -220232 (base 4) in base 10?\nAnswer: -2606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-1 + -1 + 1). Suppose -153 = -4*u - 2*o - 55, 0 = -x*u - 5*o + 77. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*f**3*o**3 + 4*f**3*o - 3*f**2*o + 88*f + o**3 + 2*o**2 wrt f.\nAnswer: 246*f*o**3 + 24*f*o - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (7 - (96 - 40)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -9*y - 69. Suppose -437 - 388 = -y*t. What is the remainder when 118 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 13. Let r = -0.3 + 0.4. Let d = r + -0.1. Which is the third smallest value? (a) 1 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47934 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/161*42*(-9)\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 321*w - 1259. Determine s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*i**3 + 444*i**2 + 720*i - 432.\nAnswer: 4*(i + 3)*(i + 6)*(13*i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:41 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:08 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 20*g**2 + 4*g + 8. Let l be k(-2). Let m = l - 19. Let f = m - 59. Solve -v - f = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i - 47*i = 8. Solve -5*j - o + 9 = 0, i*j = -3*o - 0 + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -21*u + 5*z - 25, -6*z = -2*u - 44 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + 326*c**2 - 393*c - 10629. Give v(-164).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23872*q**2 + 4*q + 1571518 with respect to q.\nAnswer: -47744*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 23) + -4 + -49 + 164\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 + -212. Let y = p + -111. Which is the third biggest value? (a) 0 (b) -5\/3 (c) y (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/7 - 2742*z**3\/7 + 36616*z**2\/7 + 875832*z\/7 + 1583296\/7 = 0.\nAnswer: -1384, -11, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -875, 1, 2 in descending order.\nAnswer: 12, 4, 2, 1, -875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -666 - -671. Find the third derivative of 24*v + 86*v**6 + v**d - 2*v**3 + 12*v**2 + 3*v**2 - v**5 - 23*v wrt v.\nAnswer: 10320*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b + 1. Let v(d) = 8*d + 2. Let z(g) = 4*g + 1. Let x(k) = -2*v(k) + 5*z(k). Let q(p) = -3*f(p) + 2*x(p). Let s = 43 - 47. Calculate q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.29164615139.\nAnswer: -0.19164615139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.9 and 662756306.5?\nAnswer: 662756302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -488*s + 45387. Calculate t(93).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzzwbzwb. Give prob of picking 2 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 8*b + 3*b**2 - 5*b**3 + 3*b**3 - 6*b to the form p*b**2 + a*b + i + l*b**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -25. Let n = 35 + f. Suppose t = n + 5. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 9*b. Let p be s(-8). Let c = 14 - p. Let j = 3 - -3. Calculate the lowest common multiple of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2\/2 - 35*z + 67. Let g be v(30). Suppose 3*t = 7*t + 12. Put g, 4, t, 1 in descending order.\nAnswer: 4, 1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/20 + 5\/(-50). Solve -5*q + p*m + 13 = m, 2*q - 7 = -m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f)\/(f*f**(9\/5)) assuming f is positive.\nAnswer: f**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 4b834?\nAnswer: 4b834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 96\/21) + 3. Which is the closest to -0.2? (a) u (b) -0.1 (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**8\/u*u)\/u**(5\/6))\/(u\/u**(1\/4)*(u*u*u**(-8)*u)\/u))**12 assuming u is positive.\nAnswer: u**149","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**4 - 31675*f**3 + 600340*f**2 - 2021420*f + 1894800 = 0.\nAnswer: 2, 15, 6316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:59 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(-44)\/((w**9*w)\/w**(-6\/13)) assuming w is positive.\nAnswer: w**(464\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 1. Let a(b) = -9*b + 12. Let q(t) = a(t) + 5*f(t). Let l(r) = 4*r**2. Give l(q(y)).\nAnswer: 4*y**2 + 56*y + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.2. Which is the third smallest value? (a) 5 (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 4*n**2 - 20)*(n - 3*n + 3*n - 4*n + 3*n + 3*n + 1 + 2*n - 1 - 3*n + 5*n - n + 2*n - 4*n + 3*n - 2*n + n + 2*n + (-n + 4*n - 5*n)*(1 + 1 - 3)).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 14908305238.\nAnswer: 14908305237.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777539.\nAnswer: 7, 277, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/260 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 126*y + 7. Let g be (-2716)\/(-98) + 2\/7. Let k(b) = -3*b + 1. Let a(s) = g*k(s) + j(s). What is the first derivative of a(x) wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275966.\nAnswer: 2, 3, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7107863*r**3 - 21*r**2 + 7107886*r**3 + 21*r**2 - 4508*r - 2 + 142*r**5 wrt r.\nAnswer: 2840*r**3 + 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -20*c + 15*c, 5*c - 20 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 20*l + 804, 16 = -26037*s + 26035*s + 18 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -906050 + 906045. Let o(y) = -y + 1. Let k(c) = c**2 + 6*c - 7. Let d(n) = k(n) + 3*o(n). Give d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13) - (sqrt(13) + sqrt(208)*-5 - sqrt(13)) - (-2 + 1 + sqrt(13))).\nAnswer: -3 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 2*a - 17 to the form m*a + b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmyyzal. What is prob of sequence mq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) -2 (c) 3\/2 (d) -16\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z**2 + 73*z**2 - 19*z**2.\nAnswer: 122*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 104368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4 - 28 - 23*s - 17 - 32 + 11. Let o be f(-3). Let z = -3\/79 + 179\/553. Which is the fourth smallest value? (a) z (b) 0 (c) o (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52336 divided by -6\nAnswer: 26168\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 21*h**2 + 551. Let y(r) = 20*r**2. Determine q(y(d)).\nAnswer: 840*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 209*w**2 + 1213*w - 24. Determine g(-6).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2437332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 1. Suppose 5*y - 20 = -0*y. Let c(w) = -8 - y*w + 0 + 2. Let t(s) = -c(s) + 3*j(s). Differentiate t(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0461 + -1.9539. Which is the closest to 2\/5? (a) r (b) -5 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5)*70\/12*-39. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -443150.17 to the nearest 100.\nAnswer: -443200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(-332 - 263 - 252).\nAnswer: -1694*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -22, -6, -2, -16?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 770500 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -70 - 28 - (4 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**2\/2 - 85. Suppose 16 - 4 = -3*o. Let n(c) = -c**2 - 6*c + 1. Give o*l(i) - n(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 13*s. Suppose 18*x - 13*x - 8785 = s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2312303110?\nAnswer: 2312303112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 801472241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5)*l)**(-28\/9)\/(l**(5\/4))**(-1\/89) assuming l is positive.\nAnswer: l**(-79519\/16020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2774957322 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b + 382 = -5*v, -5*v - 398 = -2*b. Let h = v + 232\/3. Is h > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11571 and 120147?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 265*f**2 - 5000*f + 24500.\nAnswer: -(f - 245)*(f - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52\/301 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1529*m**3 - 7*m**2 - 36*m wrt m.\nAnswer: -9174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2768775 by 3.\nAnswer: -922925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6))\/(9\/(-162)) - -8203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/122*(-40608)\/335016?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011000000000010001?\nAnswer: -1011000000000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9442 + -9448. Sort l, 5, -3, -1 in decreasing order.\nAnswer: 5, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206650, -206584, -206468, -206296, -206062, -205760?\nAnswer: -205384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 4 + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 214 = 5*b, -4495*b + 4491*b = 66*j + 102 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19179558 by -2934.\nAnswer: 6537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 579 - 1800?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2668 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -281 + 281. Suppose z = 6*w - 1406 - 424. Calculate the remainder when w is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**28*c*c*c*(c\/c**(-10))\/c*c**39\/c**(-5) assuming c is positive.\nAnswer: c**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/8 and -1\/528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002211151 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 999661, 12.\nAnswer: 2, 12, 999661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 4) + 2)\/((-12)\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1056 - -987) + 45 + 1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662956 is divided by 206.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 43. Give i(23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*l - 231, 4*g = l + l + 246. Let i = -81 + g. Let j be (-2 - i\/6)*-2 - -8. Solve j*t + 2 = -13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010110101011101 - 1110100011?\nAnswer: 1011010100110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8882142 divided by 2\nAnswer: 4441071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = 3*x - 2*w, 2*x + 26 = -4*w. Let n(p) = 36 + 4*p**2 - 52 + 2*p + 2*p**3 + 13. Let m(g) = 1. Let z(k) = x*m(k) - n(k). What is a in z(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Suppose 3*f + 235 = i, a*f + 5*i + 185 = f. Let t be (-4)\/f + (-1)\/4. What is the third smallest value in 0, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*k - 135*k - 5*x = 19, -3 = -3*k - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*k**3\/4 + 2583*k**2\/4 - 8556*k + 33635.\nAnswer: -(k - 35)*(7*k - 62)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157806.\nAnswer: 2, 3, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(165\/440). Suppose 2*i = h*i - q + 165998, 6 = -3*q. What is i rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:23 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 3*f**2 + 2*f - 3. Let t be h(3). Suppose 3*r - t = 2*r. Which is the closest to -1? (a) 0.03 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/117*(-6)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14544 divided by 251?\nAnswer: 14544\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 7*x**2 + 10*x - 15. Calculate the lowest common multiple of u(6) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 25. Suppose 6 + 19 = 5*p. Let s be c(p). Solve 0 = -s*x + 4*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27) + (-48)\/(-27). Put -1, o, -2 in increasing order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.927573 millilitres to litres.\nAnswer: 0.002927573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*x - 24. Solve 0*i - 3*i = -x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*h - 150. Suppose h = -2*m + 7*m. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-156)\/(-4))\/3)\/1. Let b = j - 9. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 12394?\nAnswer: 39\/12394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 305276616 and 305276620 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7095, -14035, -20753, -27249, -33523, -39575, -45405?\nAnswer: -51013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17271 is divided by 1917.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 1, n: 2, k: 1, h: 1, w: 1}. What is prob of sequence hkx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + (-1 - -3). Let f(l) = 4*l - c - 6*l**3 + 2*l**3 - 3*l. Let y = -37 + 38. Give f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-80)*4\/(-6)*4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 502528 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:52 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1425 and 126075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261677 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*t + 30 = 0, t = -4*x + 9 + 6. What is the lowest common multiple of 50 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93126 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 25 + 8 + m)*(0*m**3 - 2*m**3 + 8*m**3) in the form h + a*m**3 + i*m**2 + u*m**4 + q*m and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*m + 33 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + 161. Suppose -2*m + 88 = r, -m - 2*m + g*r + 158 = 0. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 + -740 + (1 - 2) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 2592, 5825, 10342, 16137, 23204?\nAnswer: 31537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 8. Let n be y(-2). What is the nearest to -0.2 in 1\/7, 5, n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5586.035 milliseconds in nanoseconds?\nAnswer: 5586035000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*n - 2*o, 0 = -3*n - 6*o - 37 + 34 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 432?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, v: 3, d: 2, u: 1, w: 3}. What is prob of sequence du?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.4. Let l = -5.07 - -0.07. Let d be -10 - (56\/(-32) - 8). Which is the closest to -5? (a) l (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**1)\/h**(-8))\/((h**9*h)\/h*h**(3\/7)) assuming h is positive.\nAnswer: h**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 4*l**4 - 4*l**4 + (-4*l**3 - l**3 + 3*l**3)*(-1 + 2*l + 1) + 17*l**3 + 15*l**4 - 17*l**3.\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66170525 to the power of 1\/2, to the nearest integer?\nAnswer: 8135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20726237 is divided by 1066?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 5. Let r be t(7). Suppose -3*n = r*n - 20. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/5 (c) 0 (d) -1 (e) 146.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97.4 - 98. What is the nearest to -1\/8 in n, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3 + 1 + o - 3. Let y be w(-7). Let r(c) = c**2 + 5*c - 7. Let a be r(y). Sort 2, -3, a in descending order.\nAnswer: 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 42461?\nAnswer: 42465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1388313796 from 11997.\nAnswer: 1388325793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1996071890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3164224214 - -4?\nAnswer: -3164224210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2\/7 (c) -1 (d) -761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230890113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 32 + 16. Let o be q\/(-12)*(-6)\/(-4). Suppose 2*t - 188 = o*f, f + 3*f = -3*t + 254. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 46 - 6*w)*(4*w**2 - 21 + 3*w**3 + 27 - 3*w**2).\nAnswer: -18*w**4 - 6*w**3 - 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-530)\/30 - 5 - -8*14\/(-336).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30533747 divided by 5.\nAnswer: -30533747\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 11*a - 30. Let c be p(14). Find m such that -4*m**2 - 19 - 15 + c*m + 26 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -2, -4, 1, -8\/2221 in ascending order.\nAnswer: -4, -2, -8\/2221, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047759374 rounded to four dps?\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011221101010 (base 3) to base 11.\nAnswer: -39a36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 18*h**2 + 43*h + 39. Give i(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*r = -40537, -297*x + 2*r = -294*x - 60798. Does 298 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.029 (b) -0.05 (c) -0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37725 and 8551?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12203 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 29877.\nAnswer: 14\/29877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3035524 - -2?\nAnswer: 3035530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-14)\/(-112))\/((-30)\/(-96)*3).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630.104 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9982 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4050*z - 421. List the prime factors of a(6).\nAnswer: 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -180, -275, -372?\n\"Answer: -g**2 - 90*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -664996335*p**3 - 619599990.\nAnswer: -1994989005*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230903544 by -630884.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/(-5) - 30\/(-75). Let i(x) = x**3 - 15*x**2 - 7422*x + 6*x**2 + 7430*x + 4. Let z be i(r). Sort 0, 2, -4, z in increasing order.\nAnswer: -4, 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1788 and -23\/12.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/98)\/((-12)\/(-14)). Let i(u) be the second derivative of u + 0 + h*u**3 + 0*u**2. Let r(g) = -7*g**2. Give r(i(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40249 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c4 (base 14) in base 10?\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -1281.\nAnswer: 1281.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1060 - -1061.1. Which is the closest to 11? (a) -4\/3 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 42 = t. Suppose -t*f + 7 = -14. Calculate the remainder when f is divided by (0 + -1)\/1 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - n + 0*n**3 - n**2 + n**3. Let t(i) = 4*i**3 + i**2 - i - 2. Let b(m) = m**3 - 1. Let y(f) = 2*b(f) - t(f). Give -x(l) - y(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -3 (b) -1823 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 76, 307, 770, 1543, 2704, 4331, 6502?\n\"Answer: 13*m**3 - m**2 - 11*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*s, 0 = s + 2*x - x - 1. Suppose 0 = 4*v + v + 35. Let o be v\/(-9) + (-2)\/6. Which is bigger: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4762\/92979 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 14*m**2 + 11*m - 7*m - 3*m**2 as k*m + i + f*m**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 5*v, 0*v + 14 = -3*d - 5*v. Let m = d + 8. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51257 is divided by 7292.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-9))\/((-6)\/(-9)). Let s be u + 0 + 2 + 14. Let z = s - -18. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = -5*y. Suppose y*g + 60 = 3*m + 2*g, -60 = -3*m + 5*g. Let p be (-2 - -2 - 0)\/(-1). Solve 0 = -5*b - p*b - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 35*c + 2567. What are the prime factors of f(-176)?\nAnswer: 7, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 29. Let o(c) = -91*c + 93*c - 3 + 3. Give m(o(p)).\nAnswer: 4*p**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.1. Let g = 22.44 - 130.54. Let x = g + 108. Which is the closest to x? (a) k (b) -1\/6 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -5 - (3 - 1). Let l(m) = -5*m + 1 + 2*m**2 + 6 - y. What is the units digit of l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 4*p**2 - p + 4. Suppose -12 = -15*t + 12*t. What is n(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.4494 rounded to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19369 is divided by 376?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 19*n + 3. Let m be -3 + 92*2\/8. Let s be c(m). Solve 5*b + 4*j = -s, 2*b - 3*j = j + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640 is divided by 698.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/25)\/(21\/210). Solve 18*p - 16 = k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330 + 2?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b = -104*b + 34714. What is the remainder when b is divided by 205?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -317?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037?\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 27*h**2 - 17*h - 66. What is the hundreds digit of m(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2. Suppose -3*u = 5*a - 7, -3 = -4*a - 3*u + 2. Let q(l) = -a*l - 20 + 20. Determine q(t(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-2) + (-12)\/24. Let v(k) = k**3 + 6*k**2 + 2*k + 4. Calculate v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*a*l**3*w**3 - 4*a*l**2 + 6*a*l*w**3 + 3*a*w**2 + l**3*w**3 wrt l.\nAnswer: 120*a*w**3 + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -560 divided by -35\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -4*r + 7*r. Suppose 0 = 17*t - 733 - 117. Let c = t + r. Which is smaller: c or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-3)\/(6\/44). Let r = n + 47\/2. What is the third biggest value in -2, 0.4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*u - 3 - 4, -5*u - 20 = 0. Let b(j) be the first derivative of 2*j**2 - 2*j + 3034. What is b(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -159, -260, -363, -468, -575?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -272416.1?\nAnswer: -38138.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 - 9.4. Sort -3, -3\/2, j, -0.3.\nAnswer: j, -3, -3\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -466, -10, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 - 9*g**4\/8 - 91*g**3\/6 + 7*g**2 - 4. Find the first derivative of k(n) wrt n.\nAnswer: 2*n - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000908378156 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**5 + 20*g**4 + 276*g**3 + 668*g**2 + 608*g + 192 = 0.\nAnswer: -4, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 19*y - 18. Let c be f(1). Is (52604\/(-16))\/((-1)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7108024 by -28.\nAnswer: 253858","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/7*(-10)\/20?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122637 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -3629.\nAnswer: 3629.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 6. Calculate the lowest common multiple of 2 and (-142)\/j - (-10)\/45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/29)\/h**(-1\/19))\/((h*h**(-10))\/(h**(-16)\/h)))**(-2\/15) assuming h is positive.\nAnswer: h**(2894\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222712, 222733, 222754?\nAnswer: 222775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(6*(-1)\/(-540)). Let w = 68 - v. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/36*66\/(-44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + sqrt(144)*-2)\/(sqrt(100)\/sqrt(2))*1.\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2401708269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-7)\/(14\/2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/255 and -41\/85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 212 = -42*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -12. Let y = -9.98 - h. What is the second smallest value in 2, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 456785061*n*x - 1422*n - 7016 wrt x.\nAnswer: 456785061*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/3 - 4*c**4 - 16*c**3\/3 + 4*c**2\/3 + 6*c + 8\/3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y**1)**(-21)\/((y**(-2\/5)*y*y**(1\/12))\/((y*y**(-3\/2)\/y)\/(y\/(y\/y**(-3))))) assuming y is positive.\nAnswer: y**(-3731\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 7*s - 8. Let r be 7 - s - (-208)\/(-36). Let w = 0.15 - -0.25. Put r, -5, w in ascending order.\nAnswer: -5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4 - 10*c**3\/3 - c**2 + 5*c - 6. Is b(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61087368 times -5\nAnswer: 305436840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02267 from -3870453075.\nAnswer: -3870453074.97733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - (10 - 9). Let r be (-4 - -3 - l)*7. Let x = r - 2. Which is the closest to 0? (a) -2\/9 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3296.23723168 + -3.\nAnswer: 3293.23723168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**3*w - 96*f**3 + 8*f**2*w + 2*f + 15*w wrt f?\nAnswer: 36*w - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*y**4 + 635*f*y**3 - 539*f*y + 20*f - 122677*y**2 + 111*y - 1 wrt y?\nAnswer: -12*f*y**2 + 3810*f*y - 245354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1690 and 2.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2 - 8*o - 4 + 7. Let l = -13 + 14. Calculate z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 858 or -12485?\nAnswer: -12485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 - 13*v**2 + 5 to h + j*v + z*v**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 14 + 2. Let n(s) = -s**2 - 2417*s**l + 2414*s**3 - 2 + 4. Let g(z) = -z**3 + z**2 + 1. Calculate -2*g(a) + n(a).\nAnswer: -a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121331 and 574.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 38. Let d be h(-18). Let o = -14 + 22. Let w = o + d. What is the smallest common multiple of w and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let g(a) = 34*a - 21. Determine g(i(r)).\nAnswer: -34*r - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 2*s - 1. Let o be c(-2). Let v(y) = y - 1. What are the prime factors of v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 0. Suppose t*r + 3*i - 9 = 2*r, 32 = 4*r + 4*i. Solve r*u - 2*u = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*s - 3*m + 2, -m - 13 = 4*s. Let c = s + 11. Is 16\/(-56) - (-240)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 28 = 4*x, -4*x + 28 = -2*o - 0*o. Solve 5*y - 5*i + 5 = 0, y + 2*i - x*i = 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*w + h, -4*w - 3*h = 175 - 7. Let j = -36 - w. Suppose -2*o = 2*b + 22, -5*b = -5*o - j*b - 27. Sort 4, o, 3.\nAnswer: o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1296 and 1\/2747880.\nAnswer: 49461840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 19*u - 70. Give r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*j + 60, q = 6*j + 5098 - 5162 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let n(l) = -15*l**2. Calculate n(m(u)).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 704\/19. Let u = 314 + -316. Is u equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, w: 2, t: 1, x: 6, i: 5}. Give prob of picking 2 z and 2 i.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 31. Let c(j) = -120*j + 3. Let z be c(n). What is the units digit of z*1\/(-9) + 1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = v + 4*f - 0, 2*f = -3*v - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -7 in descending order.\nAnswer: -3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 20*w**2 + 11*w + 60. Let g(a) = -3*a**2 - 2*a + 1. Determine d(b) + 6*g(b).\nAnswer: -2*b**3 + 2*b**2 - b + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/324)\/((-25)\/2100)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*k + 19, -3*k - k + 21 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 2*w**2 + w + 4*w.\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from xllxlxxlxaaax?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)*d)**(6\/7)\/((d\/(d**(-1)*d)*d*d)\/d**(-5\/7)) assuming d is positive.\nAnswer: d**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17184 - 63507 = -9*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1083, -3, 151 in increasing order.\nAnswer: -3, 151, 1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + r - 2)*(-2 + 0 + 1) + r + 4*r - 2*r)*(-226002 + 3*r + 225961 + 6*r**2 - 3*r**2).\nAnswer: 6*r**3 + 6*r**2 - 82*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550155.\nAnswer: 3, 5, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64140914 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19216*w + 15. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -4. Let z = c - 15. Is 13 a factor of 33 - (-1)\/2*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {z: 1, q: 1, v: 4, j: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.937 - 0.063. Which is the third biggest value? (a) 3 (b) -3\/5 (c) 2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l - 6. Let v(c) = 6*c + 5. Let b(t) = 5*h(t) + 6*v(t). Let x(g) = -21*g + 12. Let a(y) = 1. Let s(r) = 12*a(r) - x(r). Determine s(b(j)).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -139*g**3 + 4*g - 155. Let u(f) = -276*f**3 + 9*f - 310. Let j = 239 - 230. Let p(q) = j*o(q) - 4*u(q). What is the first derivative of p(m) wrt m?\nAnswer: -441*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 75, 104, 133, 162?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 16*c = 48. Let m be ((-8)\/(-3))\/((-8)\/c). Suppose -u - m = -8. What is the smallest common multiple of u and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/17 + 54*w**2 + 7440*w\/17 + 14944\/17.\nAnswer: -2*(w - 467)*(w + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t + 4*t - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22436?\nAnswer: 2, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4066*j**4 - 13982*j**3 + 950*j**2 - 387691*j wrt j?\nAnswer: 97584*j - 83892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 20 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 3}. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v - 175. Suppose v = 5*a + 4*w, -2*a + 5*w = 14 + 5. Suppose 0 = b + a*o - 0 + 9, 15 = -5*b - 5*o. Which is greater: 3\/8 or b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/6)\/((-10)\/15). Let v(l) = -13*l - 10. Let a(p) = 2*p - 3. What is the remainder when v(o) is divided by a(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from wxjhwh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*j = j, j + 3 = 0. Suppose 0 = b*g - 4*g + 3. Suppose -7*y + 524 = -g*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 - -338. Let q = 173 - o. Which is the biggest value? (a) 3 (b) -1\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, b: 3}. What is prob of sequence sbsb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 28. Give x(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -12. Let f be 2274\/72 + (-1)\/l. Let p = -31 + f. Put 2, 0.4, p in decreasing order.\nAnswer: 2, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32 + 27*z**4 + 8 - 28 + 10*z**4 with respect to z.\nAnswer: 148*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r + 180. Determine n(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 413 - 565. Let c = m - -152. What is the third biggest value in -12, c, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (7 - 6) - (14 - 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 8:26 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(4)*5)\/sqrt(7) + sqrt(80) + -3 + (sqrt(80) - sqrt(80)*2))*2*6.\nAnswer: -36 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 863 + 506 - 1372.\nAnswer: -5*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 - 51*s**2 - 23*s - 29. What is the units digit of f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -448 + 449. Solve -7 = -2*w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -34*u**3 - 2*u**2 + 1. Calculate q(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 138*l + 33. Let v(t) = -t**2 + 51*t - 12. Let j(g) = -4*f(g) - 11*v(g). Let y(m) = 3 + m - 3. Determine j(y(o)).\nAnswer: 3*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1034023 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15787 (b) -3\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 3:47 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 6. Suppose -46 = -0*c - 4*c + z*s, 3*c = 2*s + 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 143. Let x = -30 - u. Let o = -12 + x. Solve p + 0*n + 3*n - 11 = 0, -o*n + 28 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 33. Let c(z) = -3*z**2 - 15*z - 23. Let r(g) = -g**2 - 7*g - 12. Let a(u) = 2*c(u) - 5*r(u). What is the units digit of a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2245554 divided by 6\nAnswer: -374259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(15)\/sqrt(5) + -5)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.76624 rounded to zero dps?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + 4 - (sqrt(405) - (0 + sqrt(405) - sqrt(405))*3) - (2 + sqrt(405) + (sqrt(405) - (3 + sqrt(405)*2))))**2*6.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7830072 and 7128?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = 0, 4 = -4*m - 2*o + 4*o. Suppose -m + 0 = x. Let d be (x - -1) + 2\/9. Sort -2, d, -2\/3 in descending order.\nAnswer: d, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -23. Let c = -42 + 25. Let x = l - c. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s + 11*s - 4 - 5. Determine d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x. Sort -3, x, -5.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1977936 and -7\/247242.\nAnswer: 1977936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5 - 44*u**4 - 80*u**3 + 336*u**2 + 576*u = 0?\nAnswer: -2, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 68849?\nAnswer: -10\/68849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108*y**5 + 2*y**2 + 182*y?\nAnswer: 2160*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610806903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*s**2*t**2 + 15214*a*s**2*t + 12*a*t - s**2*t**2 + 3484*s*t**2 wrt s?\nAnswer: 4*a*t**2 + 30428*a*t - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -548*j + 552*j + 2*g - 33 - 81, 33 = j - g for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - b - 346 = 0, -5*d - 4*b = 26 - 367. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 13 + 11*g + 165 + 3*g**3 + 180 - 4*g**3.\nAnswer: -g**3 + 13*g + 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 169 and -45.7.\nAnswer: 123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (90\/27)\/(10\/120)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 52, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 - 421 = -3*m. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u**2 - 11*u + 12. Suppose 2*z + 5*y = z, 4*y = -5*z + 42. Let b be x(z). Let o(h) = 2 - 5 - 47*h**b + 48*h**2 - h + 0*h. What is o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(117) - sqrt(117) - sqrt(117) - sqrt(117))\/sqrt(9) + sqrt(13) - (sqrt(91)\/(sqrt(448) - sqrt(7)))**2 - 2*2*sqrt(468)*4).\nAnswer: -100*sqrt(13) + 85\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7471 = -35*q - 6*q + 7922 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g + 12. Let y(q) = -q**2 - 6*q + 11. Let f(x) = -3*o(x) + 4*y(x). Calculate f(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -1782, -3492, -5820, -8760?\nAnswer: -12306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(1 + q**2 - 1 + (-q + q + q)*(48*q - 25*q - 26*q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(5)*5)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1881 + 1906. Solve r = 186*j - 181*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 + 2*b**4 + 30*b**3 - 50*b**2 - 28*b + 48 = 0. What is b?\nAnswer: -4, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 2*x + 2. Let k(h) = h - 3*h**2 - 4*h**2 + 6*h**2 + 1 + 2*h**2. Suppose 0 = 3*t + 4*g - 5*g + 1, 5*t = 4*g - 11. Determine t*n(o) - 2*k(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 22*g**2 + 21*g + 688. Let v be n(19). Solve -3*u + 5 = -2*x, 0 = u + 1 - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*s - 1088, -3*s - t + 1644 = 17. Suppose 4*d + 2*z - s = 3*z, 534 = 4*d + 2*z. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2345*g**2*y**3 + g*y**2 + 5*g + 2*y**3 wrt g.\nAnswer: -4690*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2130704 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-10 + 5) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39977*z + 28 + 39975*z - 38.\nAnswer: -2*z - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-9)*g)\/g)\/((g\/g**(2\/39))\/g)*g**3*g**(-4\/11))**(-37) assuming g is positive.\nAnswer: g**(84323\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 6*p - 21. Calculate b(9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1078*q = 251*q - 45186 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**3 + 15*l**2 - 214*l - 1109. Let c(f) = -f**3 + 3*f**2 + 1. Let x(h) = -5*c(h) + g(h). What is the derivative of x(o) wrt o?\nAnswer: -9*o**2 - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -2, -3 in increasing order.\nAnswer: -9, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 = -x - 0*x, -x + 3*g + 12 = 0. What is the units digit of ((-5)\/2)\/(-5)*x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2. Suppose 11 - 35 = -3*w. Let f be 4*1\/w - 1\/2. Calculate p(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 161, 372, 667?\n\"Answer: 42*r**2 + r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/90 and 1\/9520.\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*l**2 - 555*l**2 + 1006*l**2 + 3.\nAnswer: -30*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6 + 14. Suppose -p + 3*h = -12, u*p + 0*h = -5*h - 3. Is 488 + -6 - (0 - p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -4, 1, -8, 0.1 in descending order.\nAnswer: 1, 2\/15, 0.1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 131703*t + 0*t**3 - 131654*t.\nAnswer: -t**3 + 49*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*t + 2*t**3 + 2*t - 8*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 493553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -431*m**6\/120 - 6*m**3 + m**2 + 467. What is the first derivative of h(t) wrt t?\nAnswer: -1293*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-24) + (1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3993 is divided by 212?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((13 - 22) + -1 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 640 or 1708?\nAnswer: 640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-945)\/(-35))\/((-27)\/(-30))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5074, -5077, -5080, -5083?\nAnswer: -5086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from {y: 3, q: 1, o: 4, j: 1, t: 7}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -z - 18. Suppose -3*w = 4*v - z, 0 = -4*v - 0*w + 5*w + 45. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*((-3360)\/(-432))\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-4))\/((-2)\/62836688*-2). Let z = -11189172 + b. Round z to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69 - (15 - (18 - 48))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:44 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 16, 45, 94, 169, 276?\n\"Answer: t**3 + t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 164 (b) 0.12 (c) -0.2 (d) -1\/4 (e) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/5*10384\/7139?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122000212 - -2?\nAnswer: 122000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 20 = -17*q, -3*g - 3*q + 111 = 0. Suppose 2*f = -23 + 9. Let n = g - f. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 166*t**3 + 5*t**2 - t - 2. Calculate j(1).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(25\/(-10))\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 + 1 - -1. Let i be ((2 - -1)\/l)\/1. Sort 0, i, -5 in ascending order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44686000 rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39705204\/71 or 559228?\nAnswer: 559228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -13673.166 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -30. Let z = 75 + -45. What is the greatest common factor of z and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4554?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35038, 70308, 105586, 140878, 176190, 211528?\nAnswer: 246898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s - 5*n = 24, 4*s = 3*n + 21. Suppose 2*j + 4*h = 4*j - 826, s*j - h = 1234. Is j a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, 1 o, and 1 q when four letters picked without replacement from {o: 1, e: 2, i: 2, v: 1, q: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m - m)*(650 - 8*m + 20*m - 10*m).\nAnswer: 4*m**2 + 1300*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1828736, 7314956, 16458656, 29259836?\n\"Answer: 1828740*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31511281 (base 9) in base 15?\nAnswer: -14eda7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjxjxjxjjmmjjjjjj. Give prob of sequence jm.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, and 1 y when three letters picked without replacement from kyfxuyyggkgufufy?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) -0.1 (c) -605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044363142 to four decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:23 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 4607.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-10392)\/(-24248)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 15, l: 3}. Give prob of sequence ssls.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 + 2*y**4 - y**4 + (27*y - 27*y - 15*y**2)*(-3 + 3 - y**2) + y**4 + 3 - 3.\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, c: 3, v: 7}. Give prob of sequence bb.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-120)\/(-10) - 13)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87983218787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13 + -3166635.727?\nAnswer: -3166634.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 17. Let d be c(-4). Let z be 12\/(-2) - (2 - 4). Is d equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(24)\/sqrt(108) + -3*(sqrt(2) + sqrt(2) + -1 + sqrt(2) + sqrt(2))).\nAnswer: -18 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*t - 14 = 1, -5*h = -3*t - 65. Let p = -22 + h. What is the units digit of 56\/p*(-36)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 142 = 2 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + 0*u)*(0*u**4 + u**4 + 0*u**2 - 2*u**2).\nAnswer: -4*u**5 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let s be b(-6). Suppose -s = -2*l - 1. Differentiate l*r + 3 - 4 - r - 4*r wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*b + 57*b + 870 = 0. Sort b, 5, -0.37, 2 in descending order.\nAnswer: b, 5, 2, -0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than or equal to -1.301714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150804540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-79)\/8)\/(2\/(928\/(-12))). Let v = z - 381. What is the biggest value in -0.11, -1, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13450000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -19.81, 0, 1\/395, 4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175.835 - -176. Let h = f + -0.265. What is the nearest to 2 in -2\/17, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 21*b + 3*g - 9928, 3*g = 5*b - 24841. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -379995, -1520067, -3420217, -6080445, -9500751, -13681135?\n\"Answer: -380039*w**2 + 45*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unuu when four letters picked without replacement from nnunnuuunnn.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -132\/7. Suppose 0*o + 4*s = -2*o - 6, o - 7 = 3*s. Suppose -2*n + 5*a = -23 - 16, 3*n + 3*a - 6 = 0. What is the second smallest value in n, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-18 + 13) - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h**3\/2 + 363*h**2 + 1737*h\/2 + 249 = 0 for h.\nAnswer: -2, -1\/3, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 930451 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + y**3 + y**3 - 5*y + (16*y - 16*y - 11*y)*(-y**2 + y - y)*(-8 + 1 + 16) to h*y**2 + k*y + f + l*y**3 and give l.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 2, n: 7, t: 4}. What is prob of sequence nnu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (249\/(-156) + 16\/(-104)). Suppose -3*m = 7 - 4. Which is greater: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2743 + 24748\/9. Let g = -319\/200 - 1\/200. What is the common denominator of h and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -808 - -1192. Suppose 5*i - 1510 = 5*s, 2*i - 3*s - j = 222. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -606\/7, -9, 1\/2, 0.05, -0.004 in increasing order.\nAnswer: -606\/7, -9, -0.004, 0.05, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (30 - 34) - 18) + -76.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 15*a + 13. Let f be y(3). What is the biggest value in f, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 37 - 37. Suppose 2 = 5*n - 8. Let c(r) = 4*r**2 + 0*r**2 + 4*r**n. Determine u(c(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - b - 7)*(7*b - 8*b - 5 + 3) to w*b**2 + j + x*b and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 9*m - 8. Let v be s(8). Suppose x - 6*x + 4*p + 2195 = v, -3*x + p = -1324. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33698 and 7739172?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 0*d - 133*d**2 - 78*d**2.\nAnswer: -211*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 5*w + 3*w)*(10*w**4 - 240 + 240).\nAnswer: 120*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 0*m**2 + 4*m**2 + 1 + (-3*m + 5*m - 4*m)*(3 - m - 3))*(-3 - 3 + 4).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -11 - 31\/24*y**4 + 53\/6*y**3 + 0*y + 3*y**2. Find the first derivative of s(u) wrt u.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h\/(h*h**(3\/2)*h))))\/(h\/(h\/(((h*h**(-3\/2))\/h)\/h)))*((h**(-6)\/h*h*h)\/h)\/h**(2\/15))\/((h*h**(3\/2))\/h**2)**(-3\/10) assuming h is positive.\nAnswer: h**(-419\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvflvvv. What is prob of picking 1 f, 1 q, and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 621685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637152 = -2073*a + 2105*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 17. Let w be 6\/(-2)*(-1 - 0). Solve -w*a - r = -3*v - 2, 0 = 4*a - 3*v + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/((-2)\/(6\/(-1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 28196 = 24*w. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-574)\/328*(-12)\/14.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, 52, -0.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 19.5. Let m = -2.5 - k. Suppose -3*f = 4*r - 4*f - 3, f - 7 = -r. Which is the second biggest value? (a) r (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 1c?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-4))\/((-1)\/59*3). Let i = 129 - n. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2803 + 2826. Calculate the remainder when 49 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6*g + 638 - 647 = 0, -j - g = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -24 - (1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228*-0.461365.\nAnswer: -105.19122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*d + 126 = 111*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0 - 1\/4*i**2 - 3\/8*i**4 + i - 1\/2*i**3. What is j in w(j) = 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*w - 53*w - 5200. Let v = 843 + w. List the prime factors of v.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 12 = 14*t. Solve -t = g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1 - 2) + -4 + -2 + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - -4 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4072134 rounded to 2 dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 5*w - 6. Suppose -2*t + 4*a - 2 = 0, -4*a + 17 = t - 0*t. Does 22 divide c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2048 by 3.\nAnswer: -2048\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.3. Which is the closest to 0? (a) 2\/7 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3840?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194544 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3, 3*z = z - h + 27. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from ursrsrrsjs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00549686 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/4)*s)\/(s**(18\/5)*s) assuming s is positive.\nAnswer: s**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55872)\/(-14) + 60\/420 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -263 - 35*d + 34*d - 61 in the form r*d + z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 10, 23, 52, 103?\n\"Answer: z**3 - z**2 - z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7205 + 7201. Suppose 5*t - 28 = 3*r, -4*t = -4*r - 7 - 17. What is the fourth biggest value in r, 3, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeyxxexxbbxy. What is prob of picking 2 x and 2 e?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54601.56t?\nAnswer: 54601560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-12) - -2)*(-7)\/21. Let u = 0.08 + -0.08. Let o be ((-10)\/6)\/((-12)\/9). What is the second smallest value in b, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s, -2*t + 2*s + 9 = 7. What is the biggest value in 2, t, -2\/57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.934075 to 2 dps.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Let c = -5.84 + -0.16. Let u = -9 - c. Put 3, x, u in ascending order.\nAnswer: u, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 566 - 675.1. Let m = 117 + t. Let f = 7.4 - m. Put -4, f, -3, 4 in descending order.\nAnswer: 4, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 32720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16 + -0.13. Suppose 12 = -s + 2*o, 2*o + 1 = 11. Let i be (-9)\/3*((-1488)\/(-168) + -9). Sort i, s, a, -0.1 in ascending order.\nAnswer: s, -0.1, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(91)\/(1*sqrt(7)) - sqrt(13))) + sqrt(117) + -1 - 1*(sqrt(13) + 1*(1 + sqrt(13))))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:04 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 138\/(-24). Let p = 6 + y. Which is the smallest value? (a) -1\/3 (b) p (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 5*b = -9288. Let c = b + -1061. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -22*k**3 - 7. Let d(n) be the first derivative of -15*n**4\/4 - 5*n - 2. Suppose -5*q = -5*s - 15, 5 + 14 = -5*s + 3*q. Calculate s*m(a) + 7*d(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8427383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 583071090.9999816 - 583071437. Let l = v + 346. Round l to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Let a be (6 + 1)*(-104)\/(-91). Solve -j + x*j = -a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -7*o - 36 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94\/3 + 31. Let y(c) = 28*c + 1. Let f be y(1). Let g = f - 204\/7. Is d <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2825376 to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + c + 8, 4*c + 0*c + 18 = -2*w. Let n be (8*1)\/(((-6)\/w)\/3). Solve g = -5*o - 21, 2*o - 14 = n*o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 3166515 + 1583277 + 10*m + 1583238.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -62. Let l = 30 - 14. List the prime factors of (h\/8)\/(6\/l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.076 + -0.724. Which is the third smallest value? (a) -0.4 (b) t (c) 3\/2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 6. Let z be (-2)\/((32\/10)\/(-8)). Let d(w) = -w - 5. What is z*b(c) + 6*d(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 = 2*b - 7, 5*b + 5 = -5*p. Solve 0*y + 4*y + 4 = p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-10)*1530\/(-36). Let d be -6 + 69\/12 - 50\/s. Sort 0.3, 1, d in decreasing order.\nAnswer: 1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (10\/90)\/((-2)\/(-10))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**2 - 12 + 9 + 3 in the form c*k**2 + f + a*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/3 + 28142*h\/3 - 9380 = 0. What is h?\nAnswer: 1, 14070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1, -1.9515?\nAnswer: -1.9515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 100079632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811273 is divided by 134?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/3*(-191)\/545496*-252?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(605) - sqrt(605))**2 + (sqrt(10)\/(sqrt(8)\/sqrt(4)) - ((sqrt(20))**2 + 1)).\nAnswer: sqrt(5) + 15104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 17\/338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/56)\/((-30)\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**7\/840 - n**6\/120 - n**5\/30 - n**4\/24 - 2*n**3 + 1. Let a(o) be the third derivative of l(o). What is a(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 - 1.73. Let d = 0.69 + 2.21. Let p = c + d. Is -0.5 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13 + 5*o - 3*o - 6*o. Let h(f) = f + 3. Let b(y) = 26*h(y) + 6*l(y). Let q(p) = -p. Calculate q(b(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6 + (2 - -12 - 13)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-28.639.\nAnswer: -14.3195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24798 + -12815. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*v - 1056, 636 = -3*i + 6*i - 2*v. Let w(z) = 10*z - 210 + i. Let j(y) = -4*y**2. Give w(j(c)).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.152? (a) -0.4 (b) 0.6 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.92814337 rounded to two decimal places?\nAnswer: -23.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1924 and 161912.\nAnswer: 2104856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44260)\/181466)\/((-4)\/1886)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076923066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339581*y**3 + 4*y**2 + 2*y + 38542 wrt y?\nAnswer: -2037486*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2452, -4902, -7352, -9802, -12252, -14702?\n\"Answer: -2450*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2058*s**3 + 3126?\nAnswer: -6174*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 11 = 3*g + 2, -5*g = j - 15. Let b = -8 + 11. Suppose 196 = 2*l + 5*c + 170, 4*l - 3*c = -26. Sort -4, b, l, j in decreasing order.\nAnswer: b, j, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/202 or -1?\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -x + 2*x + 55, -9*f + 133 = -5858*x + 5863*x for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 13 + 22. Solve 0 = -5*x - 3 - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x + 15, -x = -3*b + 93. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3779 is divided by 172?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21360720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/11)\/((-1*12\/10)\/((-72)\/(-480)))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. Let k = x - -14. Suppose 12 = 3*u - 3. What is the remainder when k is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/4 + -3 + 2. What is the tens digit of ((-336)\/y)\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026437 rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*w**3 - 742*w + 742*w)*(-7*w + 1 + 23*w + 8*w) in the form i*w**2 + y*w**4 + o*w + a + f*w**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42870 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 + 1873212*a**2 - 438572312568*a - 20178290289392 = 0.\nAnswer: -46, 468326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -28*z. Suppose 5*t + 2568 = 13*t. Let b(w) = 321 + 0*w - t + 2*w. Determine b(f(y)).\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v = 41*v, v = -7*y - 3*v + 147 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhhhbhzzhhzhh. What is prob of sequence bh?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 1. Suppose -21 = -l - 5. Suppose 0 = 3*x - t - 17, -4*x + l = -2*x - 3*t. Let p be k(x). Calculate the greatest common factor of p and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49fc (base 16) to base 9.\nAnswer: -27874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(1216) + 1 + 0) - -4*-3*(-4*(sqrt(1216) + sqrt(1216)*-1) + sqrt(1216)))**2.\nAnswer: -2720*sqrt(19) + 351524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17381481 by -19.\nAnswer: 17381481\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgv when three letters picked without replacement from {g: 6, v: 2, q: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/42)\/((-2)\/10) + 1. Let o = 2.3 + -0.9. Let f = 1.2 - o. Which is the nearest to f? (a) t (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + h + 3*h + 6772 - 2*h - 7617 as a*h + j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1\/10)*c**(-1)\/c)\/(c**(-2\/7)*c)**(-28)*((c\/(((c*c**0*c)\/c)\/c))\/c**(-3))\/(c*c**(1\/2))**0 assuming c is positive.\nAnswer: c**(239\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-13)*x**4*x**12\/((x\/((x\/(x*x*x\/(x*x\/(x**(-2\/27)*x)*x*x)))\/x)*x)\/x) assuming x is positive.\nAnswer: x**(83\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k. Solve -2*d - 15 = 3*y - k*y, -y - 5 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*6\/(-4)*8\/12. Let v(g) = -4*g - 2. Calculate v(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**5\/5 - 25*j**4\/2 + 418*j**3\/3 - 471*j**2 + 576*j + 3172. Solve o(y) = 0 for y.\nAnswer: -32, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(72)\/sqrt(6) + sqrt(12))\/sqrt(6) - (2 + sqrt(6)\/(sqrt(33)\/sqrt(11)))**2.\nAnswer: -9*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 74*a**2 + 85*a + 693. Calculate h(-73).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 5*p - 4. Let b be l(3). Solve 3 = z, 1 = b*h - 3*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*50050\nAnswer: 2852850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122212 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -51. Suppose -q*p - 2*p + 1169 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-5)\/a)**19*a**1*a**7\/a)**(-3\/10) assuming a is positive.\nAnswer: a**(207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m\/(m\/(m*(m\/(m\/(m**(-4)*m)))\/m*m)*m*m*m)*m*m)**(-6\/25)\/(((m*m**(2\/7))\/m*m)\/m*(m\/m**(-5))\/m)**(-4\/11) assuming m is positive.\nAnswer: m**(3238\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640 (base 8) in base 6?\nAnswer: -4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 22*f - 45*f + 43*f)*(-16*f**4 + 2*f**4 - f**4).\nAnswer: -300*f**5 + 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/6)\/((-1)\/6). Let v be 2\/5 + 1\/(40\/224). Solve -5*q + 5*w + 20 = 0, 2*q - w - o = v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11310 and 65?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - -6) - -4 - (11 + -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*(s\/s**(-2\/17)*s)\/s))**(2\/115))**(-2\/7))**(-34) assuming s is positive.\nAnswer: s**(-152\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-62)\/8. Suppose -2*a + 2 = -2*v, 2*a - 3 = -1. Sort v, l, -5.\nAnswer: -5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 9*v + 3 = -5*v, -13 = -r + 4*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4 + 3476*s**3 - 992208*s**2 + 100957264*s - 2802312128 = 0?\nAnswer: 44, 133, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/(-1258) + (-365)\/(-3330). Let a(k) be the third derivative of i*k**5 + 5\/72*k**4 - 9*k**2 + 0*k**3 + 0*k + 0 + 1\/72*k**6. Factor a(h).\nAnswer: 5*h*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8575 divided by -5\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:22 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t - 132 = 2*p - 63*t, 0 = t - 4. Suppose 0 = -4*d + 2*j - 2, 9 = -3*d + 2*j + 2*j. Is (1\/d)\/(((-18)\/p)\/9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5325479 is divided by 268?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 14116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 704944001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579842003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 380, 758, 1136, 1514, 1892?\n\"Answer: 378*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -42 + -23 - (7 - 3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 - 4*j + 3. Let h be i(3). Let l = 2 - 2. Solve h = -l*a - 2*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + w - 2 + 7, 5*x - 8 = -2*w. Let b be 1\/(16\/40 - 6\/40). Let -320*n**3 - 5*n**4 + n**b + 308*n**3 - 8*n**x = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158986 is divided by 31796.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8988 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 41*v**4 + 2*v**3 - 45*v**4 + 70 - 68 - 3*v**3 - 2*v in the form i*v + u*v**4 + d + r*v**2 + k*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f - 5. Let h(s) = s + 1. Let t(j) = -5*h(j) - v(j). Let l(u) = u**2 + u**2 - 4*u**2. What is l(t(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 209 - 214 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 10)*(-2)\/(-1). Let c = b + -20. Let q be c\/(3 - 1) - -38. What is the highest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01969 from -35.\nAnswer: -35.01969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynwheeeieieei. Give prob of sequence hwy.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.2999975 - -24.3. Round j to 7 dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 410 + -412. Let q be 3\/i*(-13 - -11). Sort -2\/5, 1\/5, q in decreasing order.\nAnswer: q, 1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138250 and 13825.\nAnswer: 138250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/2 + 1172420*s - 16413831\/2 = 0.\nAnswer: 7, 2344833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-12))\/(220\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t + 12*t - 2*t**2 + 9*t + 3*t**2 as w*t**2 + l*t + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {g: 2, i: 1, v: 1, y: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/2*(114\/15 + -8). Let t(i) = -i**3 - 2*i**2 + 2*i. Let o be t(g). Is 6 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 300\/18)*3. Suppose -19*f = -s*f + 518. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72765 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 670 + -228. Let b = -284 + l. List the prime factors of b.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3718196, -3718196, -3718194, -3718190?\n\"Answer: a**2 - 3*a - 3718194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3\/5, -1721, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 12 = y, 196*m - 180*m + 5*y - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/25)\/((-6)\/(-5)). Let i be (-109)\/(-327)*3\/(-5). What is the nearest to f in -5\/2, i, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 20891376*p + 36370799264448.\nAnswer: 3*(p - 3481896)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37c9 - -26?\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -37, 3, -4, 176, 4, 1 in descending order.\nAnswer: 176, 16, 4, 3, 1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.04 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2676, -2682, -2692, -2706, -2724, -2746, -2772?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6*r - 11. Let i be a(8). Suppose 0 = -4*c - 5*l - 2919825 + 519840, -4*l - 2999988 = i*c. What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 4*w + 20, 2*u - 25 = 1284*w - 1279*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25758*t**2 + 2592*t. Let l(a) = 12*a**2 - a. Give -7776*l(g) - 3*n(g).\nAnswer: -16038*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 1, l: 1, m: 1, j: 2}. What is prob of picking 1 j and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 - (1 - -3)) - (-10 + -4 + 22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.2 - -3.2. Let s = 17 + y. What is the second biggest value in -0.9, s, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 941*c**2 - c**3 + 5*c**3 - 7*c**4 - 937*c**2 + 15*c**4 to the form v*c**2 + b*c + d + x*c**4 + p*c**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**3\/3 - 7*o**2\/2 + 3*o + 821. Calculate d(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s**3 + 13*s**2 + 14*s + 8. Let y be (7\/(-5))\/((-1)\/5). Let t(q) = -7*q**3 - 6*q**2 - 7*q - 4. Let r(m) = y*t(m) + 3*a(m). Calculate r(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166666\/167 - (-2)\/(4\/(-14))?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4330302 (base 5) to base 12\nAnswer: -36883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -172, 3, 4508?\nAnswer: 4508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 42. Let c(o) = 10*o + 126. Let j(m) = -16*a(m) + 5*c(m). Let x be j(11). Let p = -18 - 1. Which is smaller: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86270.\nAnswer: 2, 5, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 25 - 22)*(4 - 1 - 1)*(-4*j + 2*j + 0*j) in the form g*j + c and give g.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2644, -4, 0.3, -7 in ascending order.\nAnswer: -2644, -7, -4, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7 - 2*p - p - 4*p. Suppose 4*r = 5*w + 4, -6 = -2*w - 14. Let b(l) = 3*l + 3. Give r*z(v) - 10*b(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3233 + 13.6933. Let l = 0.37 - a. Let d = 12.987 + l. Round d to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964282311 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.488 - -3.685. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 + 114\/(-4). Suppose 5*w - 2*k = -131, 3*w + 2*k + 29 = -56. Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 38 - 37, 2*g = -3*l + 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1901851096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)*p*p)\/p)\/p**(1\/5)*p\/p**(2\/17)*p**10 assuming p is positive.\nAnswer: p**(738\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (-219 + 105) - (-5 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00103011 to 5 decimal places.\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7391886.857 to the nearest one thousand.\nAnswer: -7392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (2 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + b - 3. Let c(h) = -3515*h**2 + 1110*h - 3330. Calculate c(a) - 1110*d(a).\nAnswer: -1295*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 3128 = -757. Calculate the greatest common factor of 245 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, -5, 2\/17, 0.87 in descending order.\nAnswer: 5, 0.87, 2\/17, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 5. Let c(h) = 2*h + 2. Let t(a) = 5*c(a) + 3*d(a). Let x be t(-3). Suppose -3*p + 16 = x. Solve -15 = -0*k + 5*k - p*b, 3*b - 10 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 - 12 - 4*x**3 - 9*x**3 + 0*x**4 + 2*x**4 to w*x**2 + q*x**3 + g*x**4 + l + s*x and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k**2 - k + 3 + k**2 + 3. Let m(u) = u**2 - 1. Give -6*m(p) - o(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-10) - (-68)\/170.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122 - -108) + 11 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1102 (base 5) to base 12\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 32 = -3*y - y, 48 = 5*g + 2*y. Solve 0 = 48*s - 44*s + g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5681164 or 5681177?\nAnswer: 5681164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -40779 and -40778 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*p + 305 = -0*p, -2*p = t - 103. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -519 + 526. Suppose 2*c = -3*l - p, c - l - 6 = -2*c. Put 8, c, 0 in descending order.\nAnswer: 8, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 754.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(22)*1)\/(-4*sqrt(4)\/sqrt(2)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216869, 433683, 650497, 867311?\nAnswer: 1084125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20495886 or -20495883?\nAnswer: -20495886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632330 is divided by 4151?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11352689609114 + 64\nAnswer: 11352689609178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 110064*h**2\/7 + 31446*h + 110060\/7.\nAnswer: 2*(h + 1)**2*(h + 55030)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 31*w**3 + 41*w**3 + 0.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a9 (base 13) in base 16?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2)\/2 + 0. Let h be 3*(-3 - (-6 + 2)). Suppose 5*g - h = 7. What is the greatest common factor of g and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -5*u - 0, 0 = 5*w - u - 17. Suppose 74 = 2*s + w*n, -s + 4*n = -4*s + 113. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1414 > -1423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 4. Let k(g) = -g**2 + g. Let u(c) = -k(c) + v(c). Let s be u(9). Let j = -37 + s. Solve q + j = 4*l, -5*l = 2*q - 17 - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:58 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 27 (b) 1\/588 (c) 79 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztc when three letters picked without replacement from fattcrz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -487, -397, -263, -97, 89?\n\"Answer: -2*u**3 + 34*u**2 + 2*u - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*m**3\/9 - 3932*m**2\/3 - 786*m = 0. Calculate m.\nAnswer: -1179, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311222 (base 4) to base 14.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -2*sqrt(209)*-4 - ((sqrt(209) + 1*sqrt(209))*4 + sqrt(209)))\/((sqrt(11) + (sqrt(11) - sqrt(1331))*-3)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200022 (base 3) in base 15?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0\/(-2))*1. Suppose o = i - 5. Let t(u) = -2*u**2 - 6*u. Determine t(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + g = 1123, g = p - 5*p + 898. Suppose -4*m - m - p = 0. Let y = m - -80. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = 4*v, -3*w - 5*v = 1 - 32. Suppose -t + 0 = -w. Suppose 0 = 3*j - t - 5. Solve -j*g - 32 = -3*p + g, -4*p = 3*g - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)\/((q**(-4\/9)*q)\/q)*(q**(3\/2))**(1\/32))**(-12) assuming q is positive.\nAnswer: q**(9509\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (8\/(-6) - (-34353)\/2376).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253\/8 - 32. Let d = 1074 - 1073.8956. Let q = d - 2.1044. Which is the closest to -1? (a) 3 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*n = -445*n + 11 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 453 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36.668 times -3\nAnswer: 110.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -38.83\nAnswer: -3.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34083099529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h**2 - 44*h + 677. Is r(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -1 + 1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-4 - 2) - 4) + 0 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i + 157. Give j(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + (-118)\/(-6). Let c(p) = -p**3 - 3*p**2 - p - 5. Let s be c(-5). Calculate the highest common factor of s and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*h - 8*h + 4155, -h = 0. Does 62 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7*g + 6150 = -4*g, -4*l = 2*g - 6152. Let u = l + -904. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75.578 + -1.422. Which is the third smallest value? (a) h (b) -0.2 (c) -3\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 - 15*u**3 - 15*u**3.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15640 by -460.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 - 8. Let h(z) = z**3 + 3*z**2 + z + 8. Let f(b) = 4*h(b) + 5*k(b). Let j be f(-6). What are the prime factors of (-5)\/(-15) + j\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4077128605 rounded to the nearest one hundred thousand?\nAnswer: -4077100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4*3\/54)\/(23\/207)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/169570 and 99\/50?\nAnswer: 847850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 577325 or 0?\nAnswer: 577325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 53020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2884 - -5727\/2. Let f = 30640 + -1010993\/33. Let n = -2704\/231 + f. Find the common denominator of q and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 1 + 7. Let a(r) = r**3 + r**2 + 38. Let x be a(0). Let m = -16 + x. Calculate the least common multiple of g and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-382)\/955).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 6\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/3)\/((-70)\/(-8820)*-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50439 is divided by 16619.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 294293662 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -627 smaller than -628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75033022 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**6\/120 + y**5\/60 - y**3\/3 - y**2\/2 + 1. Let m(x) be the second derivative of g(x). Suppose 3*s - 6 = -0*s. Give m(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1215 and 15105?\nAnswer: 1223505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89426098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 3*j + 3 = 6*u, 9 = u + 2*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242\/3 - -80. Let d = 26 + -26.4. Which is the nearest to i? (a) -0.2 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*n + l, 2*n + 356 - 127 - 123 = -3*l + 123 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142588, 142548, 142508, 142468, 142428, 142388?\nAnswer: 142348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2222*b - 12874*b - 1512*b to the form y*b + c and give y.\nAnswer: -16608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*g**2 + 29*g**3 - 151*g - 114*g**2 + 151*g.\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 - 2*c - 11. What is the units digit of q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -t, 2*t + 2*t + 2*i = 5*t + 3*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 768\/18*(-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 1 + 3)\/(0 - 1). Let b(f) be the second derivative of u + 3*f + 0*f**2 - 5\/6*f**3 - 1\/12*f**4. Give b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 928\/14 + (-12)\/42. What is the highest common divisor of m and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -19*k + 0 + 8*k - 4 + 10*k. Suppose -m = 3*r + 19, 0 = 2*r + 16 - 6. What is b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:28 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkk. What is prob of sequence kk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*v + 15, -3*k = v + 6 - 1. Suppose k = -2*w + 7 + 3. Solve 2*o + g + g = 12, -w*o = 4*g - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64a7 - 2?\nAnswer: -64a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + c + 166 = -216, -2*b = 4*c - 264. Suppose -5*u = -5*w - 275, 0 = -2*u - 3*w + b + 2. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6*3\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 4 - (1 - (754 - 0)). Let n = m - 752. Factor 0 + 12\/19*d**3 - 18\/19*d**n - 2\/19*d**4 + 0*d.\nAnswer: -2*d**2*(d - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/114 - 152\/1444.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*m + 5 = -218, 3*d = -m - 691. Let h = 291 + d. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:56 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009024463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3824.99994721 - -3825. What is s rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2628 - 2578. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:34 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4\/11, 5, -758\/13, -0.3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*x + 78*x - 37 = a, -3*a + 3*x = 48. Is a not equal to -464\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:18 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6685 and 0.07.\nAnswer: -0.5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3008524108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.03236 + 29336624\nAnswer: 29336623.96764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - x. Let q be p(1). Let w = -1 + q. Suppose 4*r - 5*i - 45 = w, -i + 15 = 5*r - 5. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4558? (a) -13 (b) 0.02 (c) 0.4 (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + 2 + (-6)\/3. Suppose 2*m = m + d. What is the remainder when 43 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from cgrcgrcgcccgg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:30 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, 1792, -1 in increasing order.\nAnswer: -22, -1, 3, 1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let o be (8\/(-4))\/((-3)\/(-6)). Let j be o*(3\/(-6) - 0). Which is the closest to -0.1? (a) j (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:01 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*(v\/(v*(v\/v**(-3))\/v*v*v))\/v*v)\/(v\/v**0)*v**2\/(v**(-5)\/v) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -4261?\nAnswer: 4266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 13125.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2247611 is divided by 606?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -34*d - 1. Let y(o) = -2*o**2 + 47*o + 22. Let a be y(24). What is w(a)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 4034330558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*s**3 - 175*s**3 + 395 - 395.\nAnswer: -603*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let n = m - 1. Find the second derivative of n*o**2 + 0*o + 2*o**3 + o + 0*o**2 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*a - 21 + 14, r = 4*a - 17. Let n(q) = 12*q**2 + 17*q + 24. What is the hundreds digit of n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -63484.\nAnswer: 23\/15871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 5. Let n(l) = -l - 3. Suppose -39*a + 55 = -28*a. Give a*n(u) - 3*h(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 3*g + 4*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120926.\nAnswer: 2, 13, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/20 and (12210\/440)\/(201*1).\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1 - -3 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 - 25*a + 2. Let k be s(-5). Solve -d = -4*j + 2, -3*j + 3*d - k = -8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2 = 4*z - 3, -4*u - 16 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*u + 217, -5*h = -0*h + 3*u - 251. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 + -0.07. Let y be (7 - 1)*(-1)\/(-3). Suppose -y*m + m = -5*c + 20, 0 = -4*m + 20. What is the nearest to o in 0.4, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbawckbcakcwb. Give prob of picking 1 b and 2 c.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4763.34 millilitres in litres?\nAnswer: 4.76334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 0*o**2 + 38204 - 5*o**2 - 2*o**3 - o + 4*o**2 + 3*o**2.\nAnswer: o**3 + 2*o**2 - o + 38204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axx when three letters picked without replacement from {a: 3, s: 13, x: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4416, 8828, 13240, 17652, 22064?\n\"Answer: 4412*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(34)\/sqrt(2)*4 + sqrt(17) - (sqrt(68)\/sqrt(4) + 3)) + 4 - 5*(sqrt(1088)*1*-2)**2).\nAnswer: -16*sqrt(17) + 87036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 63 = 13*o. Solve 0 = -4*b - o*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 40. Suppose s = 2*p + p - 324. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*p + 21177 = -914*p for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g + 41*g + 5*v = 5, 2 = -2*g - 4*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -2*i**2 - 9*i + 6. Let j(o) = o + 2. Calculate 26*j(h) + 6*m(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-2 - -4) - (-6 + 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3323104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**3\/33 - 19*s**2\/22 - 20*s\/11 + 161. Solve c(o) = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 30 = 4*f. What is the units digit of 12\/(-9)*15\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 29 = u, 2*u + u = 5*b + 7. Suppose -8*c + 33 - u = 0. Solve 9 + 0 = -c*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20976327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2546 + 2747. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742370 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/6*(-180)\/25. Suppose 0 = -12*p - 2*p + 294. What is the highest common divisor of h and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 3. Let g be h(1). Is g bigger than 2\/4247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -665856\/5 + 1632\/5*r - 1\/5*r**2.\nAnswer: -(r - 816)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((7 - (-33 + 32 + 60 + -1)) + 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77546 and 40110.\nAnswer: 1163190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 22. Let k = t + 62. Let g = k - 23. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 37*q**3 - q**2 - 38*q - 35. Let n(h) = -13*h**3 + 13*h + 12. Let t = -310 - -293. Let u(v) = t*n(v) - 6*l(v). Determine u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 divided by -5?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 6, q: 10}. What is prob of picking 4 z?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 5*l + 27. Let i be u(-8). Solve 2*p + 6 = -4*c + 16, 5*p + i*c + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 746\/3, 1\/6, -19, -2\/19 in increasing order.\nAnswer: -19, -2\/19, 1\/6, 746\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 348, 522?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*r = -20, -i + 5*r = 3*r - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 129*m - 27346. Determine d(113).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iihihhhiii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6226762, -12453522, -18680282, -24907042, -31133802?\n\"Answer: -6226760*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6756, 6662, 6568, 6474, 6380?\nAnswer: 6286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -19*b + 118. Let d be p(6). What is the third derivative of 198*t**2 + 112*t**4 - 215*t**4 - 9*t**d wrt t?\nAnswer: -2688*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0235 - 4.9635. Let w = d - -4.9399446. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 26921 - 26921.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 5*v - 7. Give i(5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 - 2. Suppose i + 1 = w, k*i + 5*w - 25 = w. Suppose -4*d + 15 = -3*h, 3 = 3*d - i*h - 12. Solve d*n + 3*n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*d - 38*d + 9*d - 2304. Solve 8*o + 4*o - d = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 280 = -13*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 b when three letters picked without replacement from nmggtbmaagmtgmgm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-18)\/(h**10\/h))\/(h\/h**(-19)*h**(-19)))**(1\/81) assuming h is positive.\nAnswer: h**(-28\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = k - 5. Let n be (-3)\/k + (-1)\/(-2). Suppose -c + 2*w - 10 = 0, -w - 20 = 4*c - 5*w. Solve -u = -c*u - n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7929 or 7932?\nAnswer: 7929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 2*z)*(-11*z**2 + 19*z**2 + 10*z**2) + 3*z - 3*z + z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -4.96. Let x = -295.29 + -5.71. Let u = x - -304. Which is the third biggest value? (a) u (b) t (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 1. Find the second derivative of -5*z + 3*z + 11*z**i - 7*z**2 wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19524660 rounded to the nearest 10000?\nAnswer: -19520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5634 + -6?\nAnswer: 562e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 51*y - 520. Calculate the least common multiple of 754 and k(-34).\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2\/211 (c) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7058, 14069, 20986, 27809, 34538, 41173, 47714?\n\"Answer: -47*d**2 + 7152*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*x - 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 49*g**2 + 95*g + 71. Determine m(-47).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:53 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + -5*(((2*(-2 + sqrt(363) + sqrt(363)))**2 - ((-5 + 2*sqrt(363))**2 - sqrt(363) - sqrt(363))) + 5).\nAnswer: -21759 + 550*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/66, 5, 1\/18, -0.4, -2.\nAnswer: -2, -0.4, -7\/66, 1\/18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 76 = -64. Suppose -o*u = -u - 155. What are the prime factors of u?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115876 (base 16) in base 10?\nAnswer: -1136758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w - 50. Let n(r) = -3*r. Determine x(n(p)).\nAnswer: 18*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 n when three letters picked without replacement from {l: 2, n: 2, e: 2, s: 5, d: 1, m: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**3 + 790*i**2 - 11962*i - 3040.\nAnswer: -2*(i - 80)*(i - 19)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**49\/(f\/(f**(1\/3)\/f)*f*f\/f**(-2\/25)*f)*((f*f\/f**0*f)\/f)**20*f**(1\/5)\/f**(-2\/17) assuming f is positive.\nAnswer: f**(170303\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/24 - 21\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5264)\/1222)\/(12\/(-78)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/73040 and -109\/980760.\nAnswer: 162806160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -2\/9, 1.04?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-25)\/15)\/((-5)\/(-15)) - -5534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*w = -4, -14*p + 11*p - w = -16 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1886\/373 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -327 - -317. What are the prime factors of w\/85 + 37197\/153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(272\/(-32) - -7). Which is the third smallest value? (a) -1\/151 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 89542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = j - 8, 7*j - 21 = -i + 2*j. Suppose 4*a + 5*d - 7 = 0, -d - 2 + i = 0. What is the derivative of a + 0 + v + 2*v + 0 wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13*v + 8*v + 11*v. Let f(j) = 3*j**2. Give q(f(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*s**3)\/s)\/s)*s*s*s)**8\/(s\/(s*s**(5\/6)*s)*s\/(s*s*s*s**10*s)*s*s) assuming s is positive.\nAnswer: s**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-33)\/(-6) + (-4)\/8. Solve v*k - 4 = -t + 2*k, 4 = -2*t - 2*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -70 - 287. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 times 0.0737?\nAnswer: 9.7284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/7))**5*i**16\/(i*((i\/(i\/(i\/i**(1\/28))))\/i)\/i) assuming i is positive.\nAnswer: i**(529\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 + 86*j**4\/3 - 3424*j**3 - 119336*j**2\/3 - 351488*j\/3 - 103040 = 0. What is j?\nAnswer: -92, -7, -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 - 10*v - 8. Determine o(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7297, -58507, -197639, -468697, -915685, -1582607, -2513467, -3752269?\nAnswer: -5343017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-497)\/17395*-1*15.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 8. Let h(k) = 5 + 2*k**2 + k**2 - 2*k**2 + 0*k**2 - 5*k. Determine h(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2788*138.1\nAnswer: -385022.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/5 + 3124*j**3\/5 - 296973*j**2\/5 + 1420204*j - 6807172\/5 = 0. Calculate j.\nAnswer: -3217, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112112 (base 3) in base 15?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-100 + 100 + 59)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - 19. Let z be i(6). Suppose -3*n + 2*r + 75 = -r, z*r + 20 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4304917*p**4 - 393147*p**2 + 2*p wrt p.\nAnswer: -103318008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 73, 63?\n\"Answer: -10*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -49. Calculate the least common multiple of i and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16*v**2 - 181*v - 71. Determine z(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -4, 2, 1\/10 in decreasing order.\nAnswer: 2, 2\/17, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13345*d**3 - 26813 with respect to d.\nAnswer: 40035*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + g**2 - 21*g - 31. What is the remainder when u(-7) is divided by 123?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2, -1\/2, -1.41?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2 - 2 + 0 + 19*k - 5*k. Let a(r) = 41*r - 11. Let m(z) = 6*a(z) - 17*c(z). What is the derivative of m(g) wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002011 - -2201?\nAnswer: -222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755519?\nAnswer: 439, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 29*l - 25*l = -3700, 0 = 3*v + 2*l + 2218. Let b = 739 + v. Solve 3*s + 3*x = 6, 2*x = b*s - 13 - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2 + 6*i**2 + 16 + 6*i**2 - 3*i - 27*i**2 + 13*i**2. Let m(z) = -z**2 - 8*z - 4. Let j be m(-3). Is y(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1300 = 4*z + 4*i, 4*z + 527 = -5*i + 1828. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 2*r**2 - r - 3. Let x(z) be the third derivative of z**4\/24 + z**3\/6 + 89*z**2. Give o(g) + 3*x(g).\nAnswer: -g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -3\/7 (c) 2\/59 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = -3*n + 10, -5*f + n = -18. Let y(u) = -8*u + 4*u - 4*u**3 - f*u**3 + 9*u**3 - 3. Give y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 14*f + 138. What is the common denominator of 17\/4 and f\/12*(14\/(-3) + 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 350 + 8\/4. Let h be (-26)\/(7\/(-2) - 7\/(-42)*9). What is the highest common divisor of h and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15172, 5, -4, 26 in descending order.\nAnswer: 26, 5, -4, -15172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*w - 3 = 0. Let p(n) be the first derivative of 0*n - 1\/4*n**2 - w + 1\/6*n**3. Factor p(f).\nAnswer: f*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 45 + 10\/3*b**3 + 65\/2*b**2 - 5\/4*b**4 + 50*b. Factor z(k).\nAnswer: -5*(k - 5)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6195\/8 + -772. What is the common denominator of l and -31\/212?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*v - v - 3 = 0, -4*v = 3*z - 16. Let b(c) = 2*c**2 - 14*c - 11. Let m be b(9). Solve -z*p + 20 = 4*l, m = -5*l + l + 5*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 35 = -3*o, -3*o + 3*z + 388 - 361 = 0. Solve x = 2*j - 5*j + 9, 0 = -o*x - 4*j + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and (9324\/74)\/((-1)\/(-5)).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 420, 147, -310, -957, -1800, -2845, -4098, -5565?\n\"Answer: -n**3 - 86*n**2 - 8*n + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - -13 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05514 + 8.94486. Sort -6, o, -2\/7, 1\/6 in descending order.\nAnswer: o, 1\/6, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - 2555 = 5*a, 3*s + 4*a - 1554 = 0. Suppose 16 = -6*r + s. Is 3 a factor of (r - -1)\/2 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4694623 to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1050\/11 or 95?\nAnswer: 1050\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147))**2 + sqrt(3) + -1*sqrt(108) + (sqrt(75) + -1)*2 + 1)*-5.\nAnswer: -745 - 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzpzzpp. Give prob of sequence pzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2569 + 11886\nAnswer: 11886.2569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 11*q - 197. What is the lowest common multiple of q and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207\/(-276)*(-275)\/(-33)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162.1 - -118. Let i = -40.19 - t. Let y = i - -0.09. Which is the closest to -1? (a) -0.3 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15245891*d**2*n**2 + 2*d**2*n - 13*d**2 - 33*n + 14 wrt n?\nAnswer: 30491782*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - 1*sqrt(99)))*1 + sqrt(99) - (sqrt(99) - 2*sqrt(99))*1)*-3)\/((2*sqrt(99)*-5)\/(sqrt(1100) + sqrt(1100)*1 + sqrt(1100))).\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.3 - 2389.6888?\nAnswer: -2343.3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {e: 1, k: 4, v: 3, j: 9, h: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**3 - 620*n**2 + 1895*n - 1270 = 0 for n.\nAnswer: -127, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbggbbgbgbbb. What is prob of picking 2 b?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 - 3. Which is the nearest to -1\/4? (a) 2\/11 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 2*u + 2*u)*(21*u + 24*u + 56*u) to the form y + r*u**2 + k*u and give r.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -102, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**3\/3 - 11*n. Let j = 0 + 2. Let k(q) = j*q + 2*q - 3*q. Determine y(k(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + (51 - 91 - -71) + 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from {z: 2, e: 2, u: 1, x: 1, d: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 26*a - 13*a - 13*a - 2*a**3 to the form n*a**2 + u*a**3 + f + x*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3208352627 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5920710.85935 and -0.05?\nAnswer: 5920710.90935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:02 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306) + sqrt(306)*2)\/(sqrt(24)\/sqrt(300)).\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (-25)\/4. Let i(l) = l**2 + 5*l - 3. Let y be i(o). Suppose 2*g + r - 15 = 0, y*g - 36 = 2*r + r. Solve 0*u - x = -u - 2, -3*x = g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 15 = 5*f + 3*p, 3*p + 15 = 5*f. Let m = 13 - f. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-36))\/((-525)\/56)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565440 is divided by 23523?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -28. Let o(z) = 3*z**3 + 6*z**2 + 9*z. Let d(m) = m**2 + m. Let c(b) = v*o(b) + 9*d(b). Factor c(f).\nAnswer: -3*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16*2)\/((37\/(1258\/(-51)))\/5)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0333 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 43, 73, 105, 133, 151, 153?\n\"Answer: -w**3 + 10*w**2 - w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -db2 - 1?\nAnswer: -db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from wwwtwwwwwwwwwtwwww.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = 2*v, 7 + 8 = 2*c - 5*v. Suppose c = 5*t + 25, -3*k + 0*k - 4*t = -2017. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5604)\/467*2*(-10)\/(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 2*r - 33. Give o(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, -18\/13, 5\/3, 4, 65, 1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t - 18 = -50*t. Suppose -q + 43 = 1. Calculate the highest common divisor of q and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74.5*13.2988\nAnswer: -990.7606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -7*y**2 - 707. Let f(x) = -4*x**2 + x. Give f(g(u)).\nAnswer: -784*u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -793.601 + 933.16092. Let f = i + -140.96. Let u = -1.4 - f. Round u to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17667.35 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192385*d**4 - d**3 + 10*d + 32467634?\nAnswer: 769540*d**3 - 3*d**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1\/9, 1\/2, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94316 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 21625296*x - 116913356771904.\nAnswer: -(x + 10812648)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**7\/56 - t**6\/40 - 3*t**5\/40 + 41*t. Factor i(v).\nAnswer: 3*v**3*(v - 2)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f**3 + 4*f**3 - 3*f**3 + (1 - 6 + 3)*(-1 - 2*f**3 + 1) + (-6*f**3 + 4*f**3 + 3*f**3)*(38 - 11 - 21).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 11. Let l(a) = a + 8. Let w(f) = -7*l(f) - 5*u(f). Let q(r) = -r + 3. Let y be q(4). Let s be w(y). Let o(k) = -9*k + 1. What is o(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 5 - 8*n + 7*n**4 - 9*n**4 - 12*n + 6 - 2*n**2 to i*n + v*n**4 + p + o*n**3 + j*n**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 737875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d - 171. Does 2 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/24 - l**3\/3 + l**2. Let r be n(-3). Is r != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223 (base 5) to base 6.\nAnswer: -1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/16)*o**26)\/(o*o\/(o\/(o*o**(-2\/41)*o))*o*o*o)**(1\/5) assuming o is positive.\nAnswer: o**(81991\/3280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5890)\/19*7\/(-70)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**3 + 11*n**2 - 2*n - 6. Calculate g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 6*b + 2*b**2)*(0 - 4*b + 0)*(-10 + 5 + 6).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 38. Determine a(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**2 + 1. Let y(a) = 394*a**2 - 195*a**2 - 191*a**2 - 3*a + 3*a. What is z(y(s))?\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:37 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32288245 and 4109413.\nAnswer: 226017715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 6*k**2 - 12*k**2 + (-k + 0*k + 2*k)*(-k - k + 4*k))*(11 + 32 - 9).\nAnswer: -680*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 5. Let j(c) = -2. Let z(f) = 5*j(f) + 2*x(f). Let s(w) be the second derivative of -2*w**4\/3 + w. Calculate s(z(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let k be d(-4). Let y be (2 + k\/(-3))*3. Find the third derivative of 2*i**y - 3*i**2 - 3*i**6 + 2*i**2 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 743 = -247. Suppose -d = d + j. Let c = d - -182. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f)\/f)\/f*f**(-10))\/(f**(-2\/27)*f**(2\/5)) assuming f is positive.\nAnswer: f**(-1259\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 1, m: 1}. Give prob of picking 1 m and 1 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004723287 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2048\/5*l + 672\/5*l**2 - 88\/5*l**3 + 2048\/5 + 4\/5*l**4.\nAnswer: 4*(l - 8)**2*(l - 4)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 595093.\nAnswer: 5\/595093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 21 = p. Let f(v) be the third derivative of v**4\/24 - 2*v**3\/3 + 196*v**2. Give f(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((93 + -81)\/6)\/(75 - -2)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(0 + 0 - 2*u) - 4*u + u + 5*u + 20925 - 20925 - 527*u.\nAnswer: -515*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2 + 22*p + 1. Let h be g(9). Suppose -6*z = -h*z. Solve 4*a + a - 10 = z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 7*t**5\/4 + 10*t**4\/3 - 43*t. Find the third derivative of j(a) wrt a.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4290313 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305 (base 13) in base 6?\nAnswer: 34414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 12:02 AM?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -13. Let a(p) = p**3 - 11*p**2 + 2*p - 16. Let u be a(x). Let c(i) = 5*i + i + 8 - u + i**2. Give c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 3, -167221, -4, 8, -1 in increasing order.\nAnswer: -167221, -6, -4, -1, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**10\/181440 + s**9\/5670 + 163*s**4\/12 + 21*s. Let x(v) be the third derivative of r(v). Factor x(d).\nAnswer: d**4*(d + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 11*w - 2*m = -46, 2*w - 75 = -5*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((-4 - -2) + 27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*m**3 + 236*m**3 + 719*m**3 + 475*m**3 - 2193*m**3.\nAnswer: -1157*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 15 - (116 + -133).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:21 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from bidiu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 125*o**2 - 64*o - 112. Give y(-63).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*x**6 - 8*x**3 + 4706*x**2.\nAnswer: -3480*x**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 9*u. Suppose 0 = -u*p + 4*p - 32. What is the remainder when 65 is divided by 80\/p - (-1)\/2*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-11))))\/(y*y**(-11)))**(2\/3) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 + 3391*u**3 - 6779*u**2 + 3389*u = 0. Calculate u.\nAnswer: 0, 1, 3389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/6300 - 7*p**6\/900 - p**5\/20 - 7*p**4\/12 + p**2\/2 - 61*p. Let u(y) be the third derivative of f(y). Solve u(h) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:17 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 438. Calculate the remainder when d is divided by 89.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (-1 + 9141\/3)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 163.7, 11\/2, 1, 0.1 in increasing order.\nAnswer: 0.1, 1, 11\/2, 163.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/195 - 581\/390. Which is the third biggest value? (a) -0.005 (b) q (c) 1\/5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -7) + 4 - (-1 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s - 255 = 5*v, 106 = -2*v - s. Let n = v - -28. Is n\/18 + (-770)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3762034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3100 and 17500?\nAnswer: 542500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1260 + 13805\nAnswer: 12545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)\/t)\/(t\/(t**(-7\/2)\/t))*(t**(-1\/2)\/t)\/t**(-8\/9) assuming t is positive.\nAnswer: t**(-454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*z**2 + 4 + 0*z**2 + z**2 + z**2 + (-4 + 1 + 2)*(3*z**2 - z**2 - z**2) - 480*z + 480*z - 54*z**2 to x + l*z + f*z**2 and give f.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73 - 17b3?\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -1.5.\nAnswer: -5, -1.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 32*p + 36*p. Let g(k) be the second derivative of 0*k**2 + 0 + 1\/2*k**3 - 2*k. Calculate d(g(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 105355404 divided by 40788?\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.8 in -0.6, 2\/13, 1, 91, 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -295, -239, -161, -61, 61, 205?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1316896.3 to the nearest 10000.\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -191.7 in -4\/5, -2.11, -1\/7?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 577404354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -41, -0.5, 4 in increasing order.\nAnswer: -41, -3\/4, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27079 is divided by 476?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -550 (base 11) to base 5.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -453*i - 2978. Calculate b(-10).\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31848*-627.\nAnswer: 19968696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 364 in descending order.\nAnswer: 364, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z - 367*z = 586*z - 9018 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w - 212. Let u be q(-31). Sort u, -4, -1 in decreasing order.\nAnswer: u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + -39. What is the common denominator of 16\/(-3)*60\/o and -49\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 14*i**2 - 10*i + 14. Let w be j(-13). Let y be ((-8)\/w)\/(10\/25). Which is the nearest to 1? (a) -0.1 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(88)\/sqrt(2))**2 - (sqrt(55)*-2)\/sqrt(5)).\nAnswer: -264 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 5980535615585?\nAnswer: 5980535615585.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1169137, 1162846, 1152369, 1137712, 1118881, 1095882, 1068721, 1037404?\nAnswer: 1001937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19945\/6 + -3315. Let u = v - 15\/2. Factor u*p**2 + 2\/3*p + 4\/3*p**3 + 0 + 1\/3*p**4.\nAnswer: p*(p + 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(4 + -5) - -6. Suppose f + 1 = 2*o - 77, -118 = -l*o + 2*f. Suppose 3 = w - o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 8*l**2 + 14*l - 10. Let i be p(9). Find the third derivative of 38*o**6 - 65*o**6 + 4*o**2 + i*o**6 wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -37?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, -0.2, -18 in decreasing order.\nAnswer: -0.1, -0.2, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -165, -249, -333?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 8*g + (-3*g + 4*g + 0*g)*(-5 + 4 + 3) to v*g + l and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -488340 divided by -244170?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 11*l - 22. Is j(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/60 - 80*j**2. Let b(t) = 7*t**3 + 5*t**2. Calculate -b(s) + 5*v(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 3*h**2 - 3*h**2 + 7*h**2 + 0 with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 600. Suppose 7*w - 2*w - h = 0. Calculate the remainder when w is divided by (1 + -3 - 1)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 526196053 and 71128.\nAnswer: 8891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -39. List the prime factors of ((-825)\/(-5))\/w - 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyddyy. What is prob of sequence yd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-168)\/(-9) - 2\/3. Find the second derivative of 165 - 165 - 51*l + 61*l**2 + b*l wrt l.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -4657997\nAnswer: -57\/4657997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2994, -4, -8 in increasing order.\nAnswer: -2994, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3610956 or 3610999?\nAnswer: 3610956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 730*z - 5*z**3 - 6 - 13*z**4 + 730*z + 7 in the form f*z**3 + l*z**2 + x*z + o*z**4 + i and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(12) + sqrt(12) + sqrt(60)\/sqrt(5)*-6 + sqrt(12) + sqrt(12) - sqrt(12)) + sqrt(120)\/(sqrt(40)\/sqrt(4)))\/(-1*(-2*sqrt(294) + sqrt(294))*6).\nAnswer: -sqrt(2)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2382)\/17 + 4\/34. Let x be (14\/f)\/(1\/2). Which is the biggest value? (a) x (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536 (base 11) in base 10?\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 26 - 3 + 4*x**2 - 23.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 6690891?\nAnswer: -20072673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 7*o**2 - 3*o + 5. Let l be k(6). Suppose -188*y + 2368 = 108*y. Solve 3*b - l = -4*c, 3*c = y*c - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180, 1160, 1100, 982, 788, 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n + 4*n - 3*n + 2*n - n + (-1 - 3 + 6)*(-2*n + 1 - 1) - 1 - n + 1 + 3*n + 5 - 5 + 3*n - 2*n - 5*n + 0*n - 3*n + n)*(0 + 0 + 2*n).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -930 - -869.23. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*y + 67768 = 8538, -148071 = -5*u + 3*y. Is 223 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1165\/(-3728))\/((180\/(-8))\/3)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -163, -330, -499, -670?\n\"Answer: -h**2 - 164*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5960558901.\nAnswer: 3, 11, 180622997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 12209825?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 755372, 755361, 755352, 755345, 755340, 755337, 755336?\nAnswer: 755337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1281819 and 924?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132813427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13*-2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25498, -102243, -230154, -409231, -639474, -920883, -1253458?\n\"Answer: -25583*w**2 + 4*w + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 221. Let v(q) = -130656*q. Calculate v(b(t)).\nAnswer: -130656*t**2 - 28874976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (sqrt(1331) + 4 - sqrt(1331)) + sqrt(1331) + sqrt(1331) - 2*sqrt(1331)*2)**2 + 2)*4.\nAnswer: -176*sqrt(11) + 21324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38.853 and 421.893736.\nAnswer: 460.746736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372803.\nAnswer: 59, 131, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2656236 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 0, -95 - 162 = -4*x + 5*h. Let s = -88 + x. Let m be (-20)\/(-6) - s\/30. Solve -m*q + 8 = -3*u - u, -q + 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5551? (a) 3 (b) 35 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/885 and (2\/177)\/((-6104)\/(-83167))?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -1\/2 (c) -28 (d) -2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let h(v) = 716*v**2. Determine c(h(a)).\nAnswer: -716*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3.6. Let m = -1.88 - -3.28. Let q = v + m. Which is smaller: q or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17063, -68293, -153695, -273269, -427015?\n\"Answer: -17086*j**2 + 28*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 22 = 4*t. Which is the third biggest value? (a) t (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 13 + l**2 + 13.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24775 - 0.261179. Round y to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27900 and 279?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s**2 - 8*s**2 - 5*s**2. Let q(b) = b**2 + 16*b. Give f(q(x)).\nAnswer: x**4 + 32*x**3 + 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*a - 18 = 5*f + 395*a, 2*f + 2 = 4*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33262?\nAnswer: 2, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7051.\nAnswer: 5\/7051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glhtbbtgbbt. What is prob of picking 1 l and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g - 24 - 296 = 1144 - 204 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 + 1951760.\nAnswer: 1951759.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -43) + -1 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w + 5. Let g(s) = 57*s + 39. Calculate -4*g(a) + 33*y(a).\nAnswer: 3*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 - 4*n + 3. Let x be w(-5). Let q = x - -32. Let y = -1 + q. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/4 + 305*j**3\/4 - 1239*j**2\/4 - 909*j\/4 + 2781\/2 = 0.\nAnswer: -309, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105340, 421341, 948014, 1685359, 2633376?\n\"Answer: 105336*v**2 - 7*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -656087 - -656090. Let -2\/5*j**p - 4\/5*j - 16\/5 + 2*j**2 = 0. Calculate j.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2512)\/(-5181) - 4\/6\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1668 (c) 0 (d) 3 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 203374*t - 10340245969 = 0. Calculate t.\nAnswer: 101687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -2. Suppose 9*a - 282 = -4*x + 7*a, 84 = x + 5*a. Calculate the remainder when x is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 67\/12*a**4 + 0*a**5 - 22 + 1\/14*a**7 + 0*a**3 - 5*a - a**2 + 19\/15*a**6. What is the third derivative of z(h) wrt h?\nAnswer: 180*h**2 + 912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:01 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585404869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 8 - (-2895 - 1). Suppose 187*s = 200*s - k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 greater than or equal to -7264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5850190 divided by 2925095.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0, 24, -1 in decreasing order.\nAnswer: 24, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335231 is divided by 9058.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-7)\/70)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 7632*k - 875820 = 0. What is k?\nAnswer: -110, 2654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -974 - -978. Solve 6*i + g + 26 = i, -d*g + 6 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 5.01, 0.012, -7 in descending order.\nAnswer: 5.01, 2\/15, 0.012, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 208*n + 2284. Give w(79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.024267 from -859.\nAnswer: -858.975733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(200) - (2*sqrt(200) + sqrt(200))))**2.\nAnswer: 460800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (420\/45)\/(4\/(-6)). Let d be 0\/(-11) - (j - 2\/(-1)). What is the highest common factor of d and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -29, -33, -1, 3 in ascending order.\nAnswer: -33, -29, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 1\/3, 6747, 3\/7, -18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 3*l. Let j(n) = -4*n**3 + 7*n. Let z(g) = g + 13. Let d be z(-7). Calculate d*j(i) + 13*b(i).\nAnswer: 2*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 11*z**7\/840 + 7*z**4\/6 + 61*z. Let s(l) be the third derivative of j(l). Let y(h) = h. Give y(s(x)).\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15976 and 44.\nAnswer: 175736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o**3 - 188*o**2 + 697*o - 510. Let x(m) = 180*m**3 + 2068*m**2 - 7668*m + 5612. Let h(b) = -32*p(b) - 3*x(b). Factor h(c).\nAnswer: 4*(c - 43)*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 33*z**2 + 53*z + 617. Let h be i(-17). Solve 17 = u + h*p, 0*u - 5 = 3*u + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 8273, 4\/5, 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*g**3*j - 4373487*g**3*t + 28445*g**2 + 10*j*t with respect to t.\nAnswer: -4373487*g**3 + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-7))*p*p)\/p**(1\/4))**(6\/7) assuming p is positive.\nAnswer: p**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + c = 3*c + 43, -4*z - 2 = -2*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4)*1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-1 - -27)) + (7 - 19).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 533*z + 1400 - 1401 + 1486*z - 513*z in the form r*z + d and give r.\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -1528.42.\nAnswer: -1528.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((((t*t*t\/(t**(-3\/2)*t))\/t)\/t)\/t))\/(t*t\/(t**(-2\/21)*t))*t\/t**(-2)*t**2\/t assuming t is positive.\nAnswer: t**(143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 167*l**2 - 3*l**3 - 111*l**2 - 51*l - 110*l**2 = 0. Calculate l.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1811*o**3 + 3*o**2 - 44*o + 41. What is z(1)?\nAnswer: 1811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - (-32)\/130. Let l be (-8)\/6*6\/4. Let b = l - -3. Sort p, 2, b in descending order.\nAnswer: 2, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = 220. List the prime factors of 3\/(3 - (-648)\/g).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5\/8, 4, -856?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0428 and -21.4258.\nAnswer: -0.91702424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from xttaaata?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 33*u - 3. Let y(l) = 873*l**2 + 70. What is t(y(q))?\nAnswer: 28809*q**2 + 2307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 18768.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00683 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 1\/16*f**4 - 4*f**2 + 0 + 1\/24*f**5 + 0*f - 1\/6*f**3. Factor m(b).\nAnswer: (b + 1)*(5*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889839 divided by 3.\nAnswer: -296613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 64*d + 20 = 60*d, -7*t + 2*d + 12 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 6*c = 8. Solve -p = 3 - c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660593249?\nAnswer: 7229, 91381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a**2 - 3*a + 5. Let q(i) = -i**2 - i - 1. Let k(u) = -n(u) - q(u). Find the second derivative of k(m) wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/15000 and -31\/3120.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -366 - -364.6. Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, -3 in increasing order.\nAnswer: -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16d2c1 (base 14) in base 4?\nAnswer: -3010123021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 883*p**2 + 1 - 919*p**2 - 133*p + 172*p to u*p + r + o*p**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 - 3*z - 2. Let k(a) = a**2 + a. Let h(p) = 6*k(p) + l(p). Let n be h(1). Let v = -77 - -173. Calculate the greatest common factor of n and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5712949, 11425915, 17138889, 22851871, 28564861?\nAnswer: 34277859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*g + 20 = 0, g + 0*g + 20 = -3*v. Let c(y) = -y**3 + 9*y**2 - 9*y. Let k be c(8). Let q = v - k. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -8. Let m = q - -7. Suppose 3*c - 4*c - 33 = -4*y, c + 5 = 0. What is the remainder when y is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30890442 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 2*c**2 + 23*c - 19*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + (-23 - -4 - -23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.212936\nAnswer: -0.0638808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 12\/30)\/((-10)\/(-25)). What is the third smallest value in -0.2, c, 2.95?\nAnswer: 2.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591*g = -578*g + 13. Let s(t) = t + 3. Let a be (-27)\/5 + (-21)\/35. Let v be s(a). Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 23. Suppose -3*n = -a*r - 2, -3*n - 2*n = 4*r - 40. What is the remainder when 8 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/366)\/((-2)\/(-8))*51\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:35 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 4:12 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 + 30*h**2 + 8*h - 223. Give p(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.24. What is y rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 11*f - 92. What is the derivative of -9*p**3 - 6*p**3 + 17 + f*p**3 + 22*p**3 wrt p?\nAnswer: 90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**3 + 17*k. Let j(c) = 2*c. Calculate j(l(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7407, -28454, -63445, -112380, -175259, -252082?\nAnswer: -342849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1318, -7273, -13230, -19189, -25150, -31113, -37078?\n\"Answer: -f**2 - 5952*f + 4635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1886 divided by 80?\nAnswer: -943\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 3*m + 30. Let u be a(7). Let x = -3.8 + -0.2. Put 0.2, u, -1, x in ascending order.\nAnswer: x, -1, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1281 - 776. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.161 - 2.839. Which is the smallest value? (a) r (b) -0.3 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p**5 - p**4 - 44*p**3 - 4409*p**2.\nAnswer: 420*p**2 - 24*p - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*q = -24, -4*h - 7*q + 34 = -5*q. Let o = -17 - -19. Suppose 5*w + 25 = 4*u, -5*u + o*w + 1 = -h. Solve u = -0*t - t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p**(2\/21)*p)*p*p*p)*p**1)**7\/((p**(-4\/9)*p**(-5))\/(p**(-1)\/(p*p\/(p**(-2\/5)\/p)))) assuming p is positive.\nAnswer: p**(-553\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Suppose -s - f*j = 3 - 0, 0 = -3*j. Let x = 7 - s. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 y when three letters picked without replacement from dyydddddyd?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17875674 is divided by 4468904?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 408457458821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -2356884.\nAnswer: -77777172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3200*l**2. Let s(d) = -12*d + 50*d - 15*d - 13*d - 14*d. Determine t(s(c)).\nAnswer: -51200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 + 5*j - 1. Let w be s(-4). Let x = -3 - w. Suppose -2*m = -2*p + 20, -x*m + 1 = -0*p + p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeefeeee. Give prob of picking 4 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(4400) + (-3*-2*sqrt(4400) - sqrt(4400))) + -5.\nAnswer: 10 + 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3208\/9 + -356. Let b(d) be the first derivative of 0*d + 1\/6*d**4 + 1\/3*d**2 + l*d**3 - 3. Find g such that b(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + v - 3. Let t(x) = 2*x**2 - x + 7. Let u(m) = 5*g(m) + 3*t(m). Is u(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10333, 20712, 31139, 41614?\nAnswer: 52137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6)*t**(-2\/13))\/(t**0)**47*(t**(8\/5)\/(t\/(t\/t**(-1\/5))))\/((t**(2\/3)\/t)\/t*t*t*t**(1\/5)*t) assuming t is positive.\nAnswer: t**(1322\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = b, -4*b + 3*b - 5*y + 20 = 0. Suppose -6*j = -3*j - 4*i + 6, 4*i - 10 = 5*j. Sort j, b, -4 in decreasing order.\nAnswer: b, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -24 - (54 - 29).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/17))**(3\/19) assuming z is positive.\nAnswer: z**(15\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2. Let p(v) = -62*v + 3. Give p(k(u)).\nAnswer: -496*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2147220 and 1264?\nAnswer: 8588880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**4 - g**3 - g**2 + 1. Let m(l) = 2*l**4 + 2*l**3 + 2*l**2 + 10*l - 2. Let t(u) = -m(u) - 2*x(u). What is the second derivative of t(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(3*1\/(-3)). Let h = -45 - -33. Let y = h - -16. What is the smallest value in 0, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-49)*t**1*t*t\/(t*t**2)*t*(t**4*t\/t**(-2)*t)\/t**(3\/20) assuming t is positive.\nAnswer: t**(-803\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 76. Solve f*m = -6 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.88 + 0.12. Let n = -6 - -8. Which is the closest to y? (a) 0.1 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19727 = -32*m - 19567 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -26. What is the smallest value in -0.1, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684552 and 792.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/50)*s*s**(-31)*s)**27 assuming s is positive.\nAnswer: s**(-39123\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6\/4*18640\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - 1552?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/11)\/(-4) + (-17 - (-7770)\/231). Let n(x) = -x**3 + 21*x**2 - 70*x + 29. Calculate n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 14. Let p be a(-11). Solve -2 = f, -2*f - 15 = o + p*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936554?\nAnswer: 2, 468277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*q = -38, -47 = 3*u + 5*q + 101. Let o = -44 - u. Suppose 2*g - 19 = -3*r, g - 3*r + 34 = 6*g. Solve 0 = -o*v + g - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 1. Suppose -5*o = 18 + 17. Let m = o - -23. Calculate the smallest common multiple of u and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**2\/2 + 641. Let n(y) = 16*y**2 - 96. Let b(a) = 1. Let g(l) = 96*b(l) + n(l). What is g(k(p))?\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*2 - sqrt(352))\/sqrt(8))\/(sqrt(4)*-1*4)*-2.\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -32\/155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 5*i**2 + (0*i - i + 2*i)*(5*i - i - 2*i) - 3*i**2 + 8*i**2 + 3*i**2 - 177*i - 179*i - 4*i**2 - 184*i + 540*i - 5 as x*i**2 + s*i + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13781 = 353*v + 549*v + 11475 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28994543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -13188.\nAnswer: -13195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4, -3, -349\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/84 and -19\/93?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4 - 1 - 2*z**2 + 3*z**2.\nAnswer: z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636017013 divided by 36037?\nAnswer: 17649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17172803?\nAnswer: 17172803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.138 and 0.5.\nAnswer: -11.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1230*g + 10. Let c(t) = 139*t - 1. What is 35*c(o) + 4*h(o)?\nAnswer: -55*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-40) + (-7958)\/20. Let w = 366 + z. Find the common denominator of w and 43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201010011 (base 3) in base 6?\nAnswer: -144304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/4))\/i)**12\/(i**(2\/7))**(-11) assuming i is positive.\nAnswer: i**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -34. Suppose -5*c = -c - g*a - 27, 2*c = -2*a. Suppose 0 = c*n - 195 - 831. Calculate the highest common divisor of n and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -8 - 32. Does 4 divide (g - -4) + ((-144)\/3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*c = 1219*c + 9006 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 7*r - 10*r = 0. Suppose -2*y - 5*l = -r*y - 469, 2*y = l + 499. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1605 - 1505. Solve -4*i = -m + 116 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g + g. Let s be 0 + -4 - (-8 + g). Solve 2*k + 0*k = s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -3, -1518, -15 in decreasing order.\nAnswer: 8, 1, -3, -15, -1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1871, -1977, -2149, -2393, -2715, -3121, -3617, -4209?\nAnswer: -4903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*h + 524 = -0*h, -1048 = -2*v - 2*h. Let q = -363 + v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o + 9*o - 4*o + 14*o + o.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7903512?\nAnswer: 2, 3, 31, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23395 - 23391. Which is the closest to -2? (a) 42 (b) 2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 1490 = 6*y. Is (y\/3)\/(4\/(-6)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 4*h + 31, 2*s + 74*h - 14 = 76*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 350333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 288\/192*4\/30\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101311 is divided by 1165.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 35505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -155 (c) 1\/3 (d) -4050 (e) -0.4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60457 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.829321 to 1 dp.\nAnswer: -101.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2. Let q(s) = -s**2 - 7*s + 7. Let f(p) = p**2 + 3*p - 3. Let l(d) = -7*f(d) - 3*q(d). Determine t(l(b)).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8778 and 611002.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -189500 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 66 = -606. What is the first derivative of -x*v**2 + 57 + 10*v**2 - 64*v**3 + 22*v**2 wrt v?\nAnswer: -192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4\/11*p**2 - 72\/11 - 2\/11*p**3 + 30\/11*p = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*((-2)\/2 + -35). What is the greatest common factor of 207 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20c8 (base 14) to base 9\nAnswer: -7683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*h - 80, 4*h - 56 = -h + 3*z. Let a be -8 + 1 - 5*-6. Suppose 0 = -3*p + 5*v - a, h = 4*p + 5*v - 3. Does -12\/19 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-4)\/4*3. Let t be 36\/(-15)*(l - 15\/2). Suppose -3*g + g = 4*r - t, r + g = 4. Solve -9 - 1 = r*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -49*b**2. Let s(r) = 3*r. Give x(s(g)).\nAnswer: -441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4706 + -4724. Put 1, 5, 1\/13, -4\/7, b in decreasing order.\nAnswer: 5, 1, 1\/13, -4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m - 5*r = -342, -m = 3*r - 89. List the prime factors of m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -15) + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 373969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -5*v - 77. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 4*c - 7 + 6*c**2 + 0*c**2)*(2 - 3 - 3)*(0*c - 4*c - c).\nAnswer: -20*c**3 + 80*c**2 - 140*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*3.203\nAnswer: 16.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7263, 29395, 66391, 118245, 184951, 266503?\n\"Answer: -b**3 + 7438*b**2 - 175*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieieviiiivixiiviivve. What is prob of sequence exee?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*t - 132 = -13*t. Let q(l) = 7*l - 1. What is the remainder when t is divided by q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 24. Let m(r) = 8*r**3 - 2*r + 1. What are the prime factors of m(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2. Let n(t) = -71*t - 8. What is n(v(k))?\nAnswer: 213*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/32148507 and 41\/2?\nAnswer: 64297014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1129899 * 6.\nAnswer: 6779394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 3. Let w be r(5). Suppose -3*p + 5*m = -0 - 6, 4*p = -3*m + w. Let i be p + -4 + (-52)\/(-2). Calculate the greatest common factor of 60 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36925.9188 times 5\nAnswer: -184629.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25403 (base 8) to base 11.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385624844.\nAnswer: 2, 3, 2837, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 157657286 to the power of 1\/2, to the nearest integer?\nAnswer: 12556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*w + 14 + 2*w + 11 + 8*w.\nAnswer: 8*w + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/35)\/s**32*s*s**34*s**(2\/9) assuming s is positive.\nAnswer: s**(1006\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -114 and 232.99.\nAnswer: 118.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 2. Let y be u(2). Suppose y = 2*q - 4. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/6*-1*(-3)\/108?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.789936 rounded to one dp?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 + 17581*j**3 - 40322340*j**2 + 31784271939*j - 16835583934359\/2.\nAnswer: -(j - 32759)*(j - 801)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 115349, 115353, 115359, 115367, 115377?\n\"Answer: t**2 + t + 115347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*m + 6, -4*m = y + 4*y + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9999912 + 4. What is l rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21277 = -3*f - 4*y, -y = -2*f - 4*y + 14184. Let m = -12295 + f. What is m rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -40\/17 (b) 3 (c) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i - 138 = k, 0 = -k - 2*i - 138. Let b be (k\/(-36) - 4)*8. Let h = -1 - -1. Sort -0.4, h, b.\nAnswer: b, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.14, 0, 0.1, -14, -0.04, -3\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419661700 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 641 times 0.16\nAnswer: 102.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1279709 divided by -16\nAnswer: -1279709\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 434 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2056.\nAnswer: -1\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686398408?\nAnswer: 2, 19, 4515779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 32. Is 3 a factor of 7\/(-14) - y\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 432*x - 639. Let o(b) = 27*b - 40. Let t(w) = 2*g(w) - 33*o(w). Differentiate t(z) wrt z.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10812 or -10809?\nAnswer: -10809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4721445 times 12\nAnswer: 56657340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**2 - 7*d - 4. Let h(r) = -6*r**2 - 3*r - 2. Let t(y) = -5*h(y) + 2*l(y). What is the remainder when t(2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/11))**(-3\/7) assuming a is positive.\nAnswer: a**(3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*w - 16303 = 2*w. Sort w, -3, 0, 4 in ascending order.\nAnswer: -3, 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgccgg. Give prob of picking 3 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3 - 2*y + 3) + ((-y + 0 + 0)*(3 - 2 + 0) - 3 - 2*y + 3)*(-152 - 118 + 336) + 5*y + 7*y - 10*y.\nAnswer: -194*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/28 and -55\/696456.\nAnswer: 4875192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26284965.\nAnswer: 3, 5, 7, 167, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2216 and -24.7.\nAnswer: -2240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -323?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -69 times -6\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 8) to base 16\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*2)*2)\/(-1*sqrt(150)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1743 and 301.\nAnswer: 74949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 + 210. Let i be (s\/(-15))\/(10\/105). Is -2 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6905 + -34523\/5. Which is the third biggest value? (a) -3\/2 (b) -6 (c) 6\/5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39\/14, 0.004, -4, -3, -0.3, -0.4, -1\/5?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -6) + 1 - (22 - 28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(12\/2) + (-1040)\/(-39). Suppose -5*s - t + 42 = 0. Suppose -s*p + 2 + 4 = 0. Solve 6*l - p*l = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9203051 is divided by 9203035.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - z, -3 = 4*x - 3*z - 9. Solve x*y + 4*s = -4*y - 16, 3*y = 3*s + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -766.5144526419 + 0.1640756419. Let k = 760.7504 + x. Let i = -5.6 - k. Round i to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8676654 is divided by 249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4996 + 84847. Suppose w - c = 37884. Suppose -8*g + w - 527727 = 0. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 107664272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -366 by 3053.\nAnswer: -366\/3053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -239, -120, 13, 166, 345, 556?\n\"Answer: u**3 + u**2 + 109*u - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {y: 9, s: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -55, -79, -103, -127?\n\"Answer: -24*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8128*n + 1 - 5*n**2 + 5*n**2 - 3*n**4 - 40*n**3 - 8128*n to the form d*n**4 + z*n + r + k*n**3 + t*n**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3822822 = 62577178. Round y to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 - 3*d - d**4 - 11*d**3 + d - 112 in the form n*d**2 + a*d**3 + w + p*d**4 + m*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -271*x**6\/120 - x**4\/6 + 67*x**3\/6 - 1289*x**2. What is the second derivative of w(c) wrt c?\nAnswer: -1626*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2418.77 + -2409. Let j = y + -10. Let s = 0.07 - j. Sort -1\/3, -1, s in increasing order.\nAnswer: -1, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o**2 - 28 + 14 + 10)*(-18*o + 8*o + o) as n*o**2 + t + i*o**3 + x*o and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8121 * 0.274.\nAnswer: -0.2225154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 404?\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -131?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2347854+-3.64\nAnswer: -3.8747854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.07326 years to months.\nAnswer: 264.87912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m - 1. Let k be a(8). Let d = -20 - k. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. What is the third derivative of 2*h**6 + 0*h + 0*h + h**f wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196837?\nAnswer: 196837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.6 (b) 7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414336 is divided by 123?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -74 (b) 2\/9 (c) 4\/3 (d) 2\/11 (e) 7\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -19 (c) 2\/7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1201 and 41559404?\nAnswer: 41559404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let w(a) = 4*a - 1. Let v be w(h). Let m(i) = -3*i - 9. Let s be m(-4). Solve -v*r + 6 = -s*p - p, -2*p - 3*r + 6 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20758960.64 to the nearest 1000.\nAnswer: 20759000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 128*q**2 - 4002*q - 448. What is b(-74)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -182. Let h = b - 57. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 3164163116?\nAnswer: 3164163120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1) + -2 + 10. Suppose -g = -2*c + t, -2*g - 1 = 2*c - 7. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 3*p + 4. Let k(i) = 6*i**2 + 3*i + 5. Let s be -1 + (-3 - 0\/2). Let v(h) = s*k(h) + 5*w(h). What is the second derivative of v(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*s + 5*s + 2)*(1893*s**2 + 6 - 4*s**3 - 1893*s**2).\nAnswer: 4*s**4 + 16*s**3 - 6*s - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15949 = 1038*g + 509*g - 11037 - 2407 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/210 + (-68)\/(-3) + -23)*560\/(-896).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8631*y + 8631*y + 4*y**3 - 5*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(48) + -1*sqrt(48) + sqrt(48)) + (sqrt(121)\/(sqrt(22)\/sqrt(2)))**2 + 1 + sqrt(11) + 0 + sqrt(11).\nAnswer: 5*sqrt(11)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490629 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394.9411 - 393.33. What is u rounded to 2 decimal places?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 7*x**2 + 7*x + 58. What is y(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 1673609751?\nAnswer: 1673609753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b (base 13) to base 14.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0 - 1\/48*z**4 + 0*z**2 + 1\/24*z**3 + 1\/120*z**6 + 23*z - 1\/80*z**5. Solve q(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 + 4*d - 4. Let y(m) = 5*m - 40. Let z be y(17). Suppose z - 49 = -v. Calculate o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q**2 - 81*q**2 - 121*q**2)*(-2*q**3 + 12*q**3 - 2*q**3) + (4*q**3 - 4*q**3 - 2*q**4)*(0*q - q + 3*q).\nAnswer: -1468*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101892118?\nAnswer: 2, 17, 2996827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j. Let n(i) = i + 105515. What is l(n(r))?\nAnswer: -9*r - 949635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 14702130?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164116 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66658209.\nAnswer: 3, 23, 631, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13190 is divided by 197.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225135 (base 7) in base 15?\nAnswer: -31b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -428, -639, -848, -1055, -1260?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**3 + 3*t + 1\/4*t**4 + 0*t**2 + 0. What is the second derivative of q(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 14*t - 16. Let j(h) = h**2. Give x(j(b)).\nAnswer: 3*b**4 - 14*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7) + (-161784)\/196. Let i = w + 827. Let -3\/5*s**i + 1\/5*s**3 + 0*s + 4\/5 = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19245*b**2 + 23131*b**2 + 1429 - 46121*b**2 wrt b?\nAnswer: -7490*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (15 - 33) + -11 - -18?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101143 (base 7) in base 8?\nAnswer: 407337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f - 5. Let s(q) = -737*q + 730. Let d be s(1). Let p(z) = -8*z + 6. Calculate d*p(h) - 6*o(h).\nAnswer: 2*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009930234 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h. Let n(x) be the second derivative of -x**4\/3 + x**2 + 25*x. Let b(g) be the first derivative of n(g). Calculate b(i(p)).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 1, w: 5, p: 4, k: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 13. Suppose -40*q + 45*q - 2040 = y. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Solve 5*o - 9 = -2*q, -q - 2 = -p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 224*z - 662. Determine q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 5. Suppose 2*x - f*c = 1 + 3, -4*x + 8 = 5*c. Find the third derivative of -k**3 + 21*k**3 + 4*k**3 - 7*k**3 - 22*k**x wrt k.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -0.4. Let g = 1.8 + y. Let f = -77\/5 - -15. What is the closest to f in 1\/2, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (3 - -3) + -3 + -10 + -1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.3. Let r = j - 0. Let h = 0.08 + -0.38. What is the nearest to r in h, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2184 divided by 9734\nAnswer: 1092\/4867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10047*f**4 + f**3 + 3*f**2 - 8858*f + 20.\nAnswer: -120564*f**2 + 6*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfenefffzvjz. What is prob of picking 1 v, 1 z, and 2 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -7.7, 69?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*m - 23. Let s be (23\/6 - m)*(-3476)\/(-366). Let w = -12\/61 - s. What is the common denominator of w and 52\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 12 = 79. Let v = t - 2. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.141 decades in millennia?\nAnswer: 7.54141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((48\/27)\/(-8)))\/((-3)\/3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 + 146.2247005058\nAnswer: 147.3247005058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12336940 divided by 220\nAnswer: -56077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, p: 1}. What is prob of picking 1 p and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5 - 4*m - m + 1. Let d(z) = -4*z - 3. Let g = 369 + -371. Calculate g*r(t) + 3*d(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 28 - 63 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 274531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/17, -3, -120, -2\/13?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18971377 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 270696511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -168*i + 195*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 - 228. Factor 1\/3*b**4 - b**2 - 2\/3*b + r + 0*b**3.\nAnswer: b*(b - 2)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125869 divided by -6?\nAnswer: -125869\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52262 (base 7) in base 6?\nAnswer: 135225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31844358 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))\/(s\/(s*s**7))*(s*s\/s**(1\/2))**8)\/((((s*s**(2\/13))\/s)\/(s*s*s\/s**(-6\/7)))\/((s*s**(2\/17))\/(s\/s**(2\/11)))) assuming s is positive.\nAnswer: s**(1616803\/68068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3994?\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 621 + -142?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 - -4.27. Which is the nearest to 7? (a) r (b) 2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 3.9, -1\/4, 0.3, 2?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30211, -65686, -101161, -136636, -172111?\n\"Answer: -35475*w + 5264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2133 - -2130. Let p(r) be the third derivative of -r**2 + 0 + 0*r + 1\/2*r**3 + 1\/24*r**4. Determine p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142\/923)\/(1\/(-509)*2) - (-824)\/5356.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1754*o*s**3 + 17*o*s**2 - 2*o + 245*s**4 - 13118*s**2 - 2*s wrt s.\nAnswer: 10524*o + 5880*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -772412 (c) -1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 400.3935ng?\nAnswer: 0.0004003935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 71 = p, -138*r + 4*p = -146*r - 132 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -62, -93, -124?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 9)*(-2 - 2 + 5)*(q - 2 + 0 + 1) to p + i*q and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/32553 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) -6 (c) -0.6 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1146870547 rounded to three dps?\nAnswer: -1.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b4421 + 5?\nAnswer: -3b4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -1.7. Let l = h + -0.5. Let w = 8 - 4. What is the closest to -2\/5 in 2\/3, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 14*d**2 - 17*d + 9. Let h(t) = t - 1. Let i(g) = -3*h(g) - j(g). Is i(13) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363281*f + 2*w + 28 = 363279*f, 0 = 3*f + w + 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131713.\nAnswer: 131713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*q + 1356, 0 = -4*b + 6*q - 4*q + 1080. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a - 76*a = -2255. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*g**2 - 8*g**2 - 7*g**2 + 18*g**2 as r*g + m*g**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10204, 10205, 10206, 10207?\n\"Answer: w + 10203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, 2, -2\/31, 3\/8?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p - 2*i + 16, 3*i = -4*p + 23. Find the first derivative of 72*y - 50*y - 4 - 58*y - 2*y**p wrt y.\nAnswer: -4*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -12*m - 21. Put -7, m, -4, -2 in decreasing order.\nAnswer: -2, m, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 2118, 4701, 8296, 12891?\nAnswer: 18474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4497*u**2 - 1148?\nAnswer: 8994*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.048494.\nAnswer: 0.0145482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*i**6 + 39*i**5 + 1120097*i**2 wrt i.\nAnswer: 12000*i**3 + 2340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k + 0)*(-4*k + k + 2*k) - 14*k**2 + 2*k**2 - 3*k**2 + (-2*k + 2*k - k)*(-k + 0 + 0 + (3 + 0 - 1)*(3*k - 2*k - 3*k) + 0 - 2*k + 0).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3, -6515, -2\/15, -31?\nAnswer: -6515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4341 - -4345. Solve 4*n - 32 = f*u, 0*u + 4*u + 35 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -6*c. Let k(h) = 27 - 13 - h**c - 14. Let m(f) = 23*f. What is k(m(o))?\nAnswer: -529*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**3 - 20*w**3 - 14*w**3 + 1 to x*w**2 + f*w + p*w**3 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 15*c + 6. Put -4, -1, c in decreasing order.\nAnswer: c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/(-1))\/((104\/1170*30)\/44).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5*160\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 2 = -4*b + 3*f, -5*f + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6 + -1)\/((-126)\/72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/577607 and 29\/12410745.\nAnswer: 459197565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197 by 83.\nAnswer: -197\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/44 and 35\/332872?\nAnswer: 3661592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (492\/(-779))\/((-4)\/38)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4)\/((-1)\/4). Solve y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaeaaae. What is prob of picking 3 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3306 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 2:37 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*-3 + (-2)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -9077711841?\nAnswer: -9077711841.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 85.17468um?\nAnswer: 0.08517468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 5*i + 2 = 44*y, -3 = -3*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.019? (a) 5 (b) 0.4389 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14114943 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -59. Suppose 8*s - y = 4*s. Let r(l) = -l**3 + 10*l**2 - 5*l - 4. Does 14 divide r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 - h + 9. Let m be l(7). What is the derivative of -4*f + 2*f - 4 + 3*f + m wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -351377 or -351025?\nAnswer: -351377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3620, -6.87, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -11, 2, -3, -22789.\nAnswer: -22789, -11, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 252*a - 251*a + 54, 2*i = -5*a - 17 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 700.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2322647370 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63598, 64878, 66160, 67444, 68730?\n\"Answer: z**2 + 1277*z + 62320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-4)*(u*u**(1\/8))\/u*(u*u\/(u**(-1\/7)*u)*u)\/(u\/(u\/(u**(-2\/7)\/u)*u)) assuming u is positive.\nAnswer: u**(535\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-2)\/(-15)). Suppose -3*h + g = -1. Suppose a - h*a**2 + 0*a**2 + 0*a**2 + 2*a**4 - a**5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5116*s + 3*v = 5121*s + 6*v + 75, 6*v + 114 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (-2 - (-3 + 1)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from gdugdvfvvg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 e when three letters picked without replacement from emqhehkemhqqhe.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**3 - 11*a**2 + 5*a + 16. Let x(p) = -3*p**3 + 2*p**2 - p - 3. Give -2*b(k) - 11*x(k).\nAnswer: k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*b**5*s**2 - 10*a*b*s**2 + 4*a*b*s - 187*b**4*s**3 + 2*b**2*s**3 + 3*b**2*s**2 wrt b.\nAnswer: -60*a*b**2*s**2 - 4488*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77000211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58894 and -0.3?\nAnswer: -17668.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16005, -16068, -16241, -16578, -17133, -17960, -19113, -20646?\nAnswer: -22613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4917263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/9 - 177638*c**2\/9 + 710576*c\/9 - 710584\/9 = 0. What is c?\nAnswer: -88823, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/870)\/(-1*(-1)\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 - 28*p**3 - 74*p**2 + 28*p + 75 = 0 for p.\nAnswer: -25, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 17*k - 5. Suppose 0 = p - 2, 3*p + 2*p + 15 = 5*g. What is the remainder when g is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 13) to base 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 45, 93, 167, 273?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 77*c**2 - 406*c - 157. Let d be t(71). Which is greater: d or -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-1)*w)*w)*w)**4)**(1\/54)*(w*w**(-1\/4))\/((w**(-2\/17)*w)\/w)*w\/(w*w\/(w**(-7)*w*w))*w\/w**(-1\/9) assuming w is positive.\nAnswer: w**(-2461\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3497 + -3487. Solve 19 = 2*b + y*t - 5*t, -3*b + 21 = 5*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585614677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -258*u + 1560. Determine a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 4. Let f be x(-3). Suppose -h + 43 = -f*o, -4*o + o + 3 = h. Solve 3*k - h = u + 2*u, 5*k - 27 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22371 and 12.\nAnswer: 89484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1835 divided by 3969\nAnswer: -1835\/3969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 33 = -24*b. Let x(i) = -66*i + 11. Is x(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*3*1)\/(5*sqrt(72)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let g = 2440 + -2443. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpzppzj. What is prob of sequence jz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 6*r**5\/5 + r**4 - 2*r - 4. What is the third derivative of j(x) wrt x?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 14. Let u be v(-12). Solve -13*j - 84*j**5 + 28*j + 255*j**4 - 255*j**3 + 63*j**u + 12*j**2 - 6 = 0.\nAnswer: -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*p - 1996 + 1216 - 2796 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c - -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 - 1 + 18*n**2 - 4 + 8*n**2 - 22*n**2 in the form g*n**2 + f*n + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**2 - 13*n - 43. Let s be w(-3). What is the greatest common divisor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -542561199 or -542561200?\nAnswer: -542561199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/(-60) + (-27)\/9)\/(70\/112 + 0)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/60 + l**5\/60 - l**4\/6 - l**3\/6 - 2*l**2. Is z(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11405 - 12025 = 489*l - 9738 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -22*k**2 + 81*k - 79. Let o(y) = -26*y**2 + 80*y - 78. Let q(z) = -5*o(z) + 6*p(z). Determine h so that q(h) = 0.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43146, 43148, 43148, 43146, 43142?\nAnswer: 43136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12559573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/220)\/((-3)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/(x**4*x)))*x*x**5\/x*(x*x**(-1\/3))**(32\/3) assuming x is positive.\nAnswer: x**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/2 - 3*k**3 + 12*k**2 - 13*k + 9\/2 = 0 for k.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 146 * 1\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-3*sqrt(2)) + sqrt(19) - sqrt(114)\/sqrt(6)*1 - (sqrt(38) + 3*-2*sqrt(38))\/((sqrt(44)\/sqrt(2))\/sqrt(11)).\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 2, w: 4}. Give prob of sequence bbl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*t**6 - 12*t**5 + 8*t**4 + 26*t**2 - t - 47?\nAnswer: -1080*t**3 - 720*t**2 + 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/75550 and -58\/55?\nAnswer: 831050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38748 - 2.8?\nAnswer: -38750.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**4 - y**3 - y**2 + y + 1. Let v(c) = -29*c**4 + 84*c**3 - 36*c**2 - 39*c + 21. Let m(g) = u(g) - v(g). Solve m(a) = 0 for a.\nAnswer: -2\/3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (5 + 10 - 15) + -25 + 18.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -527*d**4\/2 - 29*d**3\/3 - 3*d + 436. Find the third derivative of k(o) wrt o.\nAnswer: -6324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*y**2 - 6\/7*y - 4\/7 = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2 + 427. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*l + 25, -4*q + 18*l + 15 = 15*l. Let j = 2 - -2. Let c = 2 + -1.9. What is the biggest value in c, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7030336304 - 0.08719\nAnswer: -7030336304.08719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2556774*k**2 + 736*k + 1777 wrt k.\nAnswer: 5113548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 6*g**4 + 6614*g**3 + 1118350*g**2 - 24511238*g + 15841820 = 0.\nAnswer: -887, -235, 2\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*m + 4*z - 2, -m + 4*z - 2 = 0. Solve -m*b + 2 = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 8*s - 218 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -72.95. Put -0.3, -1.9, i in increasing order.\nAnswer: -1.9, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172240 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003014046 rounded to seven dps?\nAnswer: -0.0003014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*21\/(2 + 5). Let b be f\/(-7) - 36\/(-12). Determine h so that -18\/7*h**3 + 0 + 120\/7*h**4 - 75\/7*h**5 - b*h**2 - 3\/7*h = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -146257\/6 - -24319. Let m = i + 524\/9. Find the common denominator of -73\/14 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538178 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 6*a**2 + 10*a - 6. Let b be u(2). Let v be (-2 - -9) + -1 - 2. Let n = v + 1. Solve -q = 5*y + 9, -5*y + n = -4*q - b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9504 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -186.349. Let y = k + 0.051. What is the nearest to 5 in 2\/3, -4\/5, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2*(2 + 0). Is (-306)\/(-12) - 4 - (-1)\/p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 264, 3, -19238 in decreasing order.\nAnswer: 264, 3, -3, -19238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-7)*(h*h\/(h*h\/(h*h*h\/h**(-5\/3))*h*h*h))\/h)\/((h\/h**0)\/h**(2\/7)) assuming h is positive.\nAnswer: h**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3013074.\nAnswer: 15065370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(1*sqrt(16)) - (sqrt(1275)*1 + sqrt(1275))\/sqrt(3))*-3.\nAnswer: 57*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(539) + (sqrt(11) - (sqrt(99)*5 - sqrt(11))) + -1)*-2)**2.\nAnswer: 320*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 132, -592, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3 - 15858*h**2 + 7573474 with respect to h.\nAnswer: 9*h**2 - 31716*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*v, -4*l = l + 3*v. Let s be ((-117)\/(-7))\/3 - (-170 + 175). Find b such that l - 2\/7*b**3 + 0*b - s*b**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 2. Let g be ((-10)\/(-6))\/(4\/36). Suppose -g = -a + 2. Calculate the remainder when a is divided by b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 < 941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 189, -0.05, 4, -0.2, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouk when three letters picked without replacement from {a: 1, o: 4, u: 4, k: 1, i: 1}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j. Let m(y) = -43*y**2 - 301. Determine w(m(h)).\nAnswer: 172*h**2 + 1204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 60a6?\nAnswer: 60a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svxfxvxssxvfvxsxfxs. What is prob of sequence fsxf?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6859e7 (base 15) to base 10\nAnswer: -4980367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23178224 is divided by 901.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fffiffffffffffffffff.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 7*x - 108. Give t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56046 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361644.273 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**3\/2 + s. Let w(z) = 131944*z - 395848*z + 131932*z + 131945*z. Calculate n(w(y)).\nAnswer: 81*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 25*l**2 - l + 2. Let m be y(2). Calculate the common denominator of 8\/5 and 9\/6*m\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845 + 65 = -10*z. Let u be z\/(-80) - 9*2\/(-30). Let g = -1.9 - -2. Which is the closest to 2\/7? (a) g (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 7*v**2 - 11*v + 10. Let r be x(5). Suppose -6 = -2*f + 5*w + 26, 73 = 3*f + r*w. Is f < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**5 + 1371*c**4 - c**2*w + 510*c*w + 2*c - w - 2 wrt c.\nAnswer: -120*c**3 + 16452*c**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/5 - 162*c**2\/5 + 495*c - 1500.\nAnswer: 3*(c - 25)**2*(c - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and -2628?\nAnswer: 2627.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1341 - -1254. Put -3, 0.1, x in decreasing order.\nAnswer: 0.1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1505*r + 70843. What is g(-47)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*(y*y\/(y\/y**(16\/5)))\/y*y)\/y)\/y)*y*y**12)\/(y**26\/y*y*y*y\/(y\/((y**(1\/17)\/y)\/y))*y) assuming y is positive.\nAnswer: y**(-1297\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -51*k - 4106. What is p(-81)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.614 or -557.946?\nAnswer: -557.946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 35) + 294 + -314 + (8 - (-1 - 0))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1.1.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9*1 + (-9)\/((-36)\/(-16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858815540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + (-11)\/231. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 31 - 24*q - 9*q + q**2.\nAnswer: q**2 - 33*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2665321 (base 7) to base 6.\nAnswer: 11315331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -24523*j + 3089903. Give r(126).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + (-173)\/894. Let p be 105\/420 + 9\/12. Are i and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*a = -1086 - 1154 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 50 = -v, -3*k - 4 = -5*v - 130. Calculate the remainder when 4182 is divided by k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*q + 14, -4*c + 0*q = 2*q - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + 56)\/((-6)\/(-4)) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + 0 + (41 - 63))*(3 + 1 + 17)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 4. What is the common denominator of 56\/11 and 59\/(-3)*1\/x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -16. Suppose -5*o - 120 = -5*v, -2*o = -v - 3*o + 26. Let t = v - 21. Solve -s + t + 1 = m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135800133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/24*(-5)\/((-25)\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 77. What is the highest common divisor of c and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*t + 95*t - 180*t + 448 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 - c + 1. Suppose 0 = 20*d - 8 - 12. Calculate z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-21)\/6 + 3). Let c be j\/15*30\/4. Let q(g) = -3 + 1 + c*g + 5*g - 4*g. Determine q(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -2 + 9)*3\/(-1). Let g be ((-1)\/2*b)\/((-3)\/(-2)). Find the third derivative of -33*s**g - 2*s**2 + 3*s**2 + 12*s**4 - 2*s**4 wrt s.\nAnswer: -552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302190089.\nAnswer: 79, 3825191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and 2229894950794.\nAnswer: 2229894950837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -57*p**2 + p - 11. Determine i(-2).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 11*u = 4. Suppose -3*p + 2*v + 247 + 1681 = 0, -2*v + 2552 = u*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 71*r**5\/30 + 2*r**2 - 11*r. Let j(y) = -4*y. Determine j(o(z)).\nAnswer: -568*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75218492, -150436985, -225655478, -300873971, -376092464, -451310957?\nAnswer: -526529450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let g(z) = -148*z**2 - 3*z + 24. Let j(i) = -6*c(i) + g(i). Let x be j(-2). Round x to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/((30\/(-25))\/(-3)). Let t(w) = -w**2 + 10*w + 16. Let y be t(11). Find the third derivative of 43*a - a**y - a**f - 19*a**2 - 43*a wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -496, 1, -17\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.4, 288\/83 in decreasing order.\nAnswer: 288\/83, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110101010010011 (base 2) in base 15?\nAnswer: 1c77e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3493 greater than -3489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q - 8. Suppose 0 = s + 2*u + 6, -7*u = s - 2*u + 18. Let c be 2\/s*(-1 - 0). Let k(f) = f + 1. Determine c*w(v) - 6*k(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 4. Let x(y) = y + 3. Suppose -5*m + 89 - 19 = 0. Let f = m + -12. Suppose -f*h - 2 = -6. Give h*i(w) + 3*x(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1746\/5755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696 by -2892.\nAnswer: -58\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(125) + 0 + sqrt(125) - (1 + (0 + sqrt(125) - sqrt(125))) - (-2 + (sqrt(125)*-1 - sqrt(125)))*-4)*3)**2.\nAnswer: 5400*sqrt(5) + 41400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68.4 - -68. Let l = -1767\/4 - -439. Which is the closest to 1? (a) l (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/15 - 171196*d\/15 - 114128\/5 = 0. What is d?\nAnswer: -85596, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 109 + 13 = 0. Let n = r + -9. Solve 0*c = 3*c + n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -19*g + 1. Which is the smallest value? (a) 5 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1818213679.19999907 + -1818213597.2. Let l = -82 + q. What is l rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s + 1. Let q(i) = -9*i - 2. Let w(m) = -m + 1. Suppose 4*l - 3*k - 4 = k, 0 = -4*k - 8. Let y(g) = l*w(g) - q(g). What is 6*r(n) - 5*y(n)?\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -68 + 63. Sort -2, r, 200.\nAnswer: -2, r, 200","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:41 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*d + 12, -4*d + 8*d - 6*r = -24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/22226?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Suppose -10*y + 11*y = 2*c - 9, -2*c + 6 = 2*y. Let s(i) = -15*i - 1. Let d(l) = l - 1. Let f(z) = y*s(z) + 3*d(z). What is f(p(r))?\nAnswer: -36*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p + 478. Let a(c) = -16*c + 956. What is -4*a(d) + 9*i(d)?\nAnswer: d + 478","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-84) - 3\/(-12)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8229135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 900 + -882. Let o(p) = -4*p + 8. Let b be o(6). Let d = m + b. Solve -d + 1 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125.41 * -61138\nAnswer: -7667316.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363427 - 181712 - 181715 - 211*i.\nAnswer: -211*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -597.29 times -238\nAnswer: 142155.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from caacaacacaaca.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4218494 divided by 19.\nAnswer: -222026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/24*4\/(-21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 7*t**2 - 7*t - 3. Let w be o(-6). Let g = w - 67. Suppose -g*b + 2682 = 1034. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let z(l) = -l**3 + l**2 + 3*l + 2. Let c be z(-2). Let x = c + -7. Let p be 2 + x + -3 + 2. Let r(u) = -6*u. Give p*r(m) - 11*y(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 2. Let s(w) = 71*w - 33 + 39 - 55*w. Determine 7*c(x) - 2*s(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1085 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -0. Suppose -g*v + 146997 = a, 5*a = 2*v - 0*a - 98015. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -2 + -16 - (4 - (-4 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/13 (c) 0.06 (d) -12\/5 (e) -1\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1656 + -121?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 + z**2 + 74*z - 48. Let j be m(-28). What is j rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0*s**4 + 15\/2*s**3 + 0*s**5 + 0 - s + 0*s**6 + 12*s**2 - 4\/15*s**7. Differentiate x(z) wrt z.\nAnswer: -224*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 440*o - 436*o - 67 + 47, 5*o = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from eevccdgv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 9*g - 15. Let q be h(4). Let y = -60 + q. Suppose -b + 5*d + y = 0, -75 = -4*b - 7*d + 2*d. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00374 and 0.3.\nAnswer: 0.30374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5795.\nAnswer: -1\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -29, 2, -4 in decreasing order.\nAnswer: 2, -2, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -44?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 53.8431 + 0.7587\nAnswer: 54.6018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g - 25 = -26*g. Suppose 9*z - 4*z - 15 = 0. Let p(v) = -3*v**3 + 4*v**z + 3 + 1 - 1 + 5*v**2. Calculate p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 0*o + 0*o)*(0 + 3 + 0 + (2 + 14 - 8)*(-6 + 3 + 4)) in the form l*o**2 + c + h*o and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287 divided by -1.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370803219 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f + c = -54*f - 28, -4*c = 11*f + 133 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*t + w, 0 = -5*t - 0*w - 4*w + 89. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*b + 2*z + 11, -5*b - z + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 97*l - 2. Let s be b(-3). Let c = 180 - s. Suppose j + c = 3*j - y, -j = -2*y - 241. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 9:31 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2994 - 16496 = -3*q, -q + 2*b + 4497 = 0. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 15165326?\nAnswer: 15165331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/27 - (-7 + 3))*18\/84?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403*q**2 + q - 752*q**3 + 402*q**2 - 805*q**2 to n*q**2 + g*q + d + s*q**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5616 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 19\/(-26 + 14 + 13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 94 + -3 + 9 + -35 + 60 + -40.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 70811?\nAnswer: 1911897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*10\/(-8)*(136\/(-7))\/(16780\/11746)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 4. Let h(d) = 49*d + 63. Let f(k) = -4*h(k) + 63*t(k). Let r(c) = -2*c. Determine f(r(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 8340827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*d - 21 = 11, -d = 2*l - 1. Suppose 4*y = -t + 1, -4*t - y - 8 = l. Let j be (2\/(-5))\/(18\/(-10)). What is the biggest value in j, -5, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.3 (c) 668 (d) -1 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22422?\nAnswer: 2, 3, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 2, j: 2}. What is prob of sequence jj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, -297, -1031, -2155, -3669?\n\"Answer: -195*z**2 + 241*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*16*(-5)\/(-60)*-3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 56*a + 23. Let v(t) = -14*t + 1. What is o(i) + 6*v(i)?\nAnswer: -28*i + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8652\/31 (b) 3 (c) 0.2 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2675, -10702, -24069, -42770, -66799, -96150, -130817, -170794?\n\"Answer: m**3 - 2676*m**2 - 6*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2317.3 * -2\nAnswer: 4634.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144109 at least 1144109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*u - 9881 = -9889, 0 = 4*k - 5*u. Sort k, -21, -9, -2, 14.\nAnswer: -21, -9, k, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {k: 2, a: 3, l: 2, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -5*h**2\/2 - 2*h - 8. Let s = 164 - 162. Suppose 0 = -0*d + d + s. Determine k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 10*t**2 + 5*t + 9. Let l = 2 - -3. Suppose 0*s + 5 = l*s. Let q(x) = -x**2 - 1. Let w(d) = s*j(d) + 4*q(d). Determine w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 8*d - 6094. Let i(w) = -6*w. What is i(g(m))?\nAnswer: -12*m**2 + 48*m + 36564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) 1\/6 (b) -5 (c) 1\/10 (d) -2\/11 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29246.59ml to litres.\nAnswer: 29.24659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 + -8 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4 = m - 1, m - 12 = -2*f. Suppose -5*p + 5 = m. Let d be p\/(-1) - (-25 - -2). What is the highest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -29*h - 503. Determine w(-9).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129607179 by 84877.\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c - 253. Let j(s) = 6*s + 252. Let z(d) = -6*j(d) - 7*n(d). Is z(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244704729?\nAnswer: 3, 389, 209687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 866636771 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 464*y**5\/15 + 458*y**4\/15 - 1862*y**3\/15 - 1832*y**2\/15 + 8*y\/5 = 0.\nAnswer: -2, -1, 0, 3\/232, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + -17 + 0 - (-61 + 60) - 4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255559033 to the nearest integer?\nAnswer: 15986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.58501 * -137.\nAnswer: -765.14637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 12500 + 1532. What are the prime factors of n?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3082 and 12328.\nAnswer: 3082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20509 + 7169. Suppose s = 39*x - 78831. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**3 - 81504*q**2 - 459*q - 354.\nAnswer: -54*q - 163008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 3*r - 9, 4*x + 5655*r = 5654*r + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -230132332 (base 5) to base 2\nAnswer: -11111001010000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 3. Let q be u(2). Let r = q - -13. Do 4 and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c**(-1\/7))\/((c\/(c\/((c**(-2)*c)\/c)))\/(c*c**(-4))))\/((c**(-1)*c)\/c**(2\/11))**(4\/9) assuming c is positive.\nAnswer: c**(848\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*((sqrt(175) - -2*(sqrt(175) + -1)) + 1 - (sqrt(175) + sqrt(175) + -1 + sqrt(175))*6*-4)**2.\nAnswer: -3939997 + 75000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/2 - 3*o**4\/2 - 11*o**3 + 12*o**2.\nAnswer: o**2*(o - 6)*(o - 1)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -5 - (-7 - -11). What is the third derivative of -7*y + 2*y - 9*y - 5*y**2 + 2*y**t - 76*y**6 + 0*y**2 - 14*y**6 wrt y?\nAnswer: -10800*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(1\/2)*c)\/c)*c*c*c)**(-2\/83)*(c\/(c*c**9*c*c))\/c**(-1) assuming c is positive.\nAnswer: c**(-837\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2461 + -2432. Solve 0 = z*d + 20*d + 49 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 3:58 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -241314.24 from 2195.\nAnswer: 243509.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:39 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339837479.\nAnswer: 41, 103, 80473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.943 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 19.05629.\nAnswer: 5.716887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 a factor of 161210216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2346, -2440, -2700, -3210, -4054, -5316, -7080, -9430?\nAnswer: -12450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 207505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let u(a) = -26 + 5 + 6 + 7 - 2*a. Let f(h) = 6*h + 22. Let i(t) = -4*f(t) - 11*u(t). Give i(b(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 76257860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 - 18*o**3 - 3*o**2 + 72*o + 60 = 0 for o.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761241541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 4. Let j(q) = -4*q - 5. Let r(u) = 4*j(u) + 5*l(u). Let d(n) = 435*n - 25. Let t(m) = -34*m + 2. Let b(c) = 2*d(c) + 25*t(c). Give r(b(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let p(x) = -3*x**2 - 3*x + 3. Let o(b) = 9*b**2 + 8*b - 8. Let m(v) = 3*o(v) + 8*p(v). What is q(m(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 16. Let n be f(4). Suppose 4 = n*q - 4. Solve -q + 6 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 98, 1150, 4098, 9890, 19474, 33798, 53810?\n\"Answer: 158*s**3 - 54*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(44) + -2 + (-2*(sqrt(11) - (sqrt(11) + 1)))**2 + -1*sqrt(891)).\nAnswer: -12 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + -15 - (1 - (6 + 2 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - q - 13. Let x(z) = -3*z**2 + z**2 + 38 + 3*z**2 + 3*z + 10*z**2. Let b(n) = 8*a(n) + 3*x(n). What is b(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/105 - (-1)\/5. What is the nearest to -0.1 in g, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 125?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q + 4. Let d be f(-3). Let c = -25 + 27. Suppose 6*t - d = c*t. What is the highest common factor of 63 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-273)*-6 + 49\/65\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 50*s**2 + 34*s + 38. Is u(-4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 14 = 2*u, -u + 12*h - 7*h = -19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let v = 1380 + -1375. Which is the closest to j? (a) -2\/5 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 503 + 487, -4*d + 2*q - 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82176)\/(-5457))\/((-58)\/(-493))?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 993*d - 5650. What are the prime factors of y(38)?\nAnswer: 2, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91309181\/374 + 244142. What is the common denominator of -25\/9 and u?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*b + 5. Let m be (23 - b - (-6)\/2)*1. Solve -c = -m*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7804786 and 5676208?\nAnswer: 62438288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Let c(n) = 4 + 14*n - i. Let u be (-6 + 18\/4)\/(21\/(-14)). Calculate c(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00232758 - 26.17.\nAnswer: -26.16767242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, -1\/5, -7 in increasing order.\nAnswer: -7, -1, -1\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -29. Let j = 43 + n. What is the remainder when j is divided by 6\/(-4)*(-70)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2. Let v(q) be the second derivative of 2*q + 0*q**3 + 1\/6*q**4 + 0 + 0*q**2. Calculate v(f(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4180 by -5.\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 12270346708 - 12667254*o - 1\/2*o**3 + 4359*o**2 = 0.\nAnswer: 2906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/6 + 14\/(-3). Which is greater: t or -1\/147?\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 0 + sqrt(208) - (sqrt(1573) + 0 - sqrt(13)) - ((-3*sqrt(104))\/sqrt(8))**2*2.\nAnswer: -234 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktrtrrjtrt. What is prob of picking 1 r and 1 t?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/23)\/x**(-2\/15))**43 assuming x is positive.\nAnswer: x**(3268\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*a - 1 - 44*a + 133*a - 44*a in the form d*a + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4)\/((-1)\/1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 5*(sqrt(76)*-3 + sqrt(76)))\/(sqrt(48)\/sqrt(300)))**2.\nAnswer: 38475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:10 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -6643 (b) 2\/7 (c) 2 (d) 0 (e) -5\/11 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 2 z when four letters picked without replacement from {d: 4, z: 5, o: 2, p: 3, q: 5}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10026 and 46\/1671.\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y = 71*y - 1918 + 2068 + 3322 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r**2 - r**2. Let h(p) be the third derivative of 0*p - 1\/60*p**5 + 0 + 0*p**3 + p**2 + 0*p**4. Calculate b(h(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2\/(-16))\/(69\/6348).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -365885 take away 0.1?\nAnswer: -365885.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14149792*m**2*w**2 - 3359829*m**2 wrt w.\nAnswer: 28299584*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ommm when four letters picked without replacement from ommoooooom?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -256492.\nAnswer: 5\/256492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/5 (c) 2602 (d) -3 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -0.5, -47, 1\/4 in decreasing order.\nAnswer: 6\/11, 1\/4, -0.5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 1. Let b be (22\/3)\/((-4)\/6). Let z = 16 + b. Determine j(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.00083 + -29. Round b to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572 and 22.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z*z**(2\/35)*z)**(22\/7) assuming z is positive.\nAnswer: z**(-726\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 3:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 14. Let q(x) = -x + 1. Let i(m) = 9*m - 11. Let k(r) = i(r) + 6*q(r). Does 10 divide k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -18. Suppose -15 = -f*i + 12. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-5 - -3)) + -21. Let s = -9 - g. Let u = -1 + 7. What is the remainder when s is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -27*j - 7. Let w be i(-1). Suppose 4*z = 10*q - 5*q - 20, -w = -5*q - 3*z. Solve q*r = -0*r - 5*a - 5, 5*r - 30 = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31656, -61813, -91970, -122127, -152284, -182441?\n\"Answer: -30157*a - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16946 and 106486.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 132?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 94*o**2 - 698*o - 1654. Let r(i) = 3*i**3 - 96*i**2 - 695*i - 1655. Let v(y) = 5*h(y) - 4*r(y). Factor v(z).\nAnswer: -2*(z + 5)**2*(z + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2*q**3\/3 - 3*q + 1. Suppose 0 = -14*v + 9*v + 25. Suppose 9*u = v*u + 3*o + 18, 2*u - 4*o - 14 = 0. Calculate n(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(12\/18). Let a(d) = -60*d + 2765. Let k be a(46). Sort -15, k, 2, n.\nAnswer: -15, n, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 1. Let y(h) = -203*h + 3868. Let g be y(19). Let x(j) = -4*j + 5 + 4 + j - 5. What is g*b(v) - 4*x(v)?\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 0.0279, -1, -4, 0.27345?\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.404969 millennia in decades?\nAnswer: 640.4969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**1\/w*w)\/w)\/(w*w**(-8)\/w))**18 assuming w is positive.\nAnswer: w**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140 (base 6) in base 13?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 4\/7 (c) 5550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -26*d**4\/3 - 2383582*d**3\/3 - 549880*d**2\/3 + 16134856*d\/3 - 3667040 = 0.\nAnswer: -91676, -3, 10\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + -10010040032?\nAnswer: -10010034410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -m + 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15 = 4*n, n - 5*n + a - 25 = 0. Let u = n + 27. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -2*y. Which is the nearest to y? (a) -0.4 (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 628 - 623. Calculate the lowest common multiple of (-6)\/(-15)*(1 + 14) and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 3, p: 1, s: 2, n: 3, h: 1}. What is prob of picking 1 n, 1 h, and 1 z?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3109618*b**2 + 7954*b - 8 wrt b.\nAnswer: -6219236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6956 in 1, 0, 4.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 - 2\/5. Let s(m) = -11*m + 69. Let a be s(6). Let f = a + z. Sort 3, -3, f in descending order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-70)\/40)\/((-6)\/(-24)). Let n(k) = -k**3 - 8*k**2 - 6*k + 14. Determine n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29255133 is divided by 5275?\nAnswer: 5258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 1 = -11*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079026 is divided by 1291?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**(1\/3)*w)\/w))**(3\/8)*(w*w**(-1))**(-9))**(10\/7))**(-31) assuming w is positive.\nAnswer: w**(-155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 63643077*v - 63643077*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + -280. Let b = 226 + n. Let c = 191 + b. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5268 and 94443387.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(20))**2 + sqrt(7) - -2*sqrt(7)*4.\nAnswer: 7\/4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7608132 decades in months?\nAnswer: 91.297584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*a + 3*a. Suppose 6*v + a = -0. Is 3418 + -6 + 4 + v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + -6. Let t = -12 - a. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201607 (base 8) in base 4?\nAnswer: -1100032013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, 5, -5 in ascending order.\nAnswer: -5, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 39*w**2 - 36*w + 60. Give m(-38).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2576\/1840)\/(42\/15)*(-26)\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26335414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5763070 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3213\/(-14))\/9*(-2)\/(-3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5*q + 6. Let i be p(4). Suppose i*m + 15 = 5*m. Let y be m*(48\/15 - 3). Sort 8, y, -1 in decreasing order.\nAnswer: 8, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5 - 10. Let z(g) = 3*g - 7. Let u be z(7). Suppose 0 = -p + 2, -5*i + p + p = u. Put 5, i, t in decreasing order.\nAnswer: 5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25036 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:46 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(448)) + sqrt(7))) - 4*(sqrt(7) + -3))**2 + (sqrt(42)\/(sqrt(24) - sqrt(864)) + -1)**2.\nAnswer: 301*sqrt(7)\/5 + 25407\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 971.48 - -22.52. Let k = 989.99 - x. Round k to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 11*j + 36. Let g be i(7). Solve -3*q - g = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 3:52 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143971 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14628831*p**3*t**2 - 4*p**2*t + 3411*t**2 wrt p?\nAnswer: 87772986*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5200) + sqrt(52) + -2*sqrt(468))\/(sqrt(4)*-1*1*1).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 21) + (-139 + 59 - -71)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from knn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*d**4*f - d**4 + d**2*f + d*f + 79*f wrt d?\nAnswer: 624*d*f - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 26587080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33399282?\nAnswer: 2, 3, 7, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3*q**4\/4 - 4*q**3\/3 - 2*q**2 - 4*q + 14. List the prime factors of d(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 x, and 1 h when four letters picked without replacement from {x: 1, l: 2, h: 2, m: 1, k: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + m**2 - 2*m + 1. Let k be d(1). Suppose -k*n - n = -27. Let r = 1 + n. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -31172794?\nAnswer: -18703676.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8203820678 to the power of 1\/2, to the nearest integer?\nAnswer: 90575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/((-79)\/1185*90)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*z + 452 = 0, -t + 5*z = 3*z - 103. Let i = 186 - t. Suppose 4*d - i - 17 = 0. Solve -d = -4*a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 22. Let r be p(-5). Solve -2*v - 2 = 5*j - 0, -3 = 2*j + r*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brbrbyrzyyrrrrzrur. What is prob of sequence yyzr?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/24)\/(490\/28 - 18)*96\/(-44).\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, b: 7}. What is prob of picking 1 p and 1 b?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 4*o + 0*o + 2 - 5 + 2 - 2*o + (-4 + 3 + 0)*(5*o + 0*o - 3*o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 16*j**2 + 3*j + 8. Let x(u) = u**3 + 9*u**2 - u - 3. Let r(v) = -5*c(v) - 9*x(v). What is r(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 174073*q**3 + 5*q**2 - 5*q + 4. Let p be u(3). Suppose -s = -5*z - p, 0*s - s - z + 4699999 = 0. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17657, -34778, -51895, -69008, -86117, -103222?\n\"Answer: 2*v**2 - 17127*v - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 7*m**2 - 12*m**2 + 5*m**2 - 15*m**2.\nAnswer: -29*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 81 = -3*s - 331, 8 = 2*s. Let x = 263 - d. Solve 3*a + x = 2*m - 0*m, -3*a = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1839 divide 1020797637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-92 - -12) + 35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2008 + 6025\/3. Let c(j) be the first derivative of 0*j**2 - 13 + 0*j**5 + 0*j + 1\/3*j**6 - b*j**3 + 0*j**4. Find the third derivative of c(o) wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10 + 5*x - 10*x**2 + 17*x**3 - 38*x**3 + 20*x**3 + 4*x - 7*x. Give v(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 112069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + 3 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1779*u - 12. Let y(p) = 592*p + 4. Give -2*f(x) - 7*y(x).\nAnswer: -586*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from dfffdfddffdf.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6, 17 = -0*h - h + 3*n. Let k = -16 - h. Solve 0 = 3*d - 5 - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140424 equal to -140420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60539079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 + 1. Give a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/10229 + -1094451\/265954. Let a = 7314162437\/1040 + -7032846. Let o = a + 53\/65. What is the common denominator of o and d?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 2*a - 9 = -11*k, 0 = -2*k - 2*a + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1547*i - 1 + 1 + 0 - 1500*i.\nAnswer: -3047*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561327 and 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*u - 2*u + 22 = 0, -b = 4*u + 7. Does 2 divide 6*-7*b\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/25)\/2*(1183 + -1197).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let l = -1615 - -1618. Which is the nearest to -0.1? (a) l (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -87, 4 in increasing order.\nAnswer: -87, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-19)\/(k\/(k*k\/(k*k\/(k**(-1)*k))*k))**(10\/11)*((k**(-2)*k)\/(k**(-1\/2)*k))**(-38) assuming k is positive.\nAnswer: k**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s - 44*s = -30. Suppose 0 = i - p - 0*p - 28, 0 = -3*p - s. Let k = 146 - 102. What is the remainder when k is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 818686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25251 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54203.59cm in millimeters?\nAnswer: 542035.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t + 54*t**2 + 2*t**4 - 30*t**2 - 28*t**2 + (9*t + 3*t - 6*t)*(-4*t**3 + 3*t**3 - t**3).\nAnswer: -10*t**4 - 4*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 2. Let f be (k + -1)\/(1 + 0). Solve f + 3 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010937 to 7 dps.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1279481 (base 12) to base 8.\nAnswer: 15717141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -2\/13, 95, -5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 + 5 = -2*g, -5*g = -5*p + 20. Let z(q) = 4*q - p*q - 3*q - q. Let r(v) = 2*v**2. Give r(z(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88626134 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000884 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q - 7*q - 3*q**2 - 4*q**2 + 7*q**2 + 11 - 4 - 2*q**2 + 3*q**2 - 3*q**2 + (-2*q + 2*q + 3*q)*(-1 - q + 1) + 3*q + q**2 - 3*q.\nAnswer: -4*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:03 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 22. Let c = 12 - b. Sort c, -10, 5 in descending order.\nAnswer: 5, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593413*f**3 + 1541179*f**2 wrt f.\nAnswer: -3560478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 279891?\nAnswer: 2239128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -38. Let n = o - 46. Let k = -60 + 58. What is the nearest to k in 0.2, 11, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*n - 127. Let c be ((-1600)\/12)\/((6\/n)\/(-1)). Let m = c - -1877. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 140289, 280578, 420867?\n\"Answer: 140289*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 5. Suppose -446 - 2542 = -4*k. Suppose 0 = -745*y + k*y - 2. Let l(i) = -1. What is y*r(u) - 5*l(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 29*g + 114. Let j be l(-4). Let a(x) = 72*x**2 + 16*x + 36. Is 12 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2 (c) -3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328141 is divided by 9286?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 79*k**2 - 276*k + 101. Determine m(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*k + 605*k + 500*k + 613*k + 605*k - 2931*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 775*b**3 - 785*b**2 - 775*b + 780.\nAnswer: 5*(b - 1)**2*(b + 1)*(b + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8*b + 13 = 7*b, -160*t - 926 = -163*t + 190*b for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u + 26*u - 11 + 5.\nAnswer: -2*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7876.82 rounded to the nearest one hundred?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699903 is divided by 4858?\nAnswer: 4461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043*1999.7.\nAnswer: 85.9871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 3*h + 12. Calculate m(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -831 + 3?\nAnswer: -82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, y: 6, b: 3, s: 2, z: 2}. Give prob of picking 2 y and 2 b.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(52)\/(5*sqrt(196)))**2 - (sqrt(91)\/((sqrt(7) + sqrt(21)\/sqrt(3))*6))**2).\nAnswer: -366853\/176400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 10. Let i(s) = s. Let k(o) = -f(o) + 2*i(o). Suppose 0 = -3*z - 3 - 3. Let a = z - -2. What is k(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19*f**2 - 5. Let r(m) = m**2 - 1. Suppose 5*z = -3*s + 4 + 41, z + 4 = 2*s. Let j(d) = z*r(d) + a(d). Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381*-7.95549\nAnswer: 3031.04169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 - 2*q - 213 + 7*q**2 + 2*q**3 + 214 - 3*q**4 as f*q**4 + w*q**2 + h + u*q**3 + j*q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*a**5\/4 + 21*a**4 - 36*a**3 - 16*a**2.\nAnswer: -a**2*(a - 4)**2*(11*a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -908 - 506897*c**2 + 381*c**4 + c + 506897*c**2 - c wrt c?\nAnswer: 1524*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/24462 and 31\/9.\nAnswer: 24462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845 and 1235.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, m: 5}. What is prob of sequence mz?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pukppmkumpm. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-20))\/(-3 - (-524)\/176). What are the prime factors of b + -16 + (-1 - -25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8, s + m + 16 = -2*m. Let o be (2 - -1)\/(42\/s). Let r = 0.4 + -0.3. What is the third biggest value in r, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**5\/20 + 11*d**4\/12 + d**3\/6 + 7*d**2\/2 - 2*d. Let z be h(11). Suppose -3*x = -0*x - z. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 12. Is (447\/t)\/((-3)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -67. What are the prime factors of x?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 37*d**2 + 314*d - 11638. Calculate x(37).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 107\/2, -3\/2, 0.4, 1\/4, -4\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (398\/(-6))\/(82 - 83) + 2\/3. Solve -64*x + p*x - 5 = -l, 0 = -2*l + 5*x - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-962)\/130)\/(51\/(-15))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29247*m**3 - m**2 - 83661?\nAnswer: 175482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**4 + 10*q**3. Let r(j) = -49*j**4 - 5*j**3 + 4*j**2 + 91*j. Let p(k) = -2*i(k) - r(k). Find the third derivative of p(v) wrt v.\nAnswer: 1128*v - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 0.2, 2\/11, 0.3, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2. Let s(a) = -10*a - 47. Give n(s(v)).\nAnswer: -600*v**2 - 5640*v - 13254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f*f\/(((f\/((f**(1\/4)\/f)\/f))\/f)\/f*f)*f)**31*(f**0)**9)**18 assuming f is positive.\nAnswer: f**(4743\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -299, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/((-21)\/(-18)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 771310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 0.2 (c) -4 (d) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, h: 6}. What is prob of picking 4 h?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.933 + 0.935133. Round o to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254858187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18721\/8 or -1\/7?\nAnswer: 18721\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -421794050*h**2 + 37806413.\nAnswer: -843588100*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 6.1. Which is the third smallest value? (a) s (b) -0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/4782 + 210443\/167370. Let q = 6\/7 - r. Put 1, q, -0.1 in increasing order.\nAnswer: q, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/a**10*(a**(2\/9))**(-44) assuming a is positive.\nAnswer: a**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*3*(sqrt(27) + (sqrt(2187)*-1 - sqrt(2187)))*-4 + 2)**2.\nAnswer: 14688*sqrt(3) + 40450756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16 = 5*o + 4*j, -3*o + 2*j = 8. Suppose 2*h - 2*k - 8 = -2*h, -k = o. Let a(x) = h*x + 0*x + 2*x - 3*x. Let q(p) = -3*p**2. What is a(q(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/18)\/(3 - (-3134)\/(-1044))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 9, c: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408278778.\nAnswer: 2, 3, 89, 823, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53616*56.79.\nAnswer: 3044852.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7336520185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7801*b**2 + 39032*b + 130. Give o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from shdvvhhvhhsvhsvvdhh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 148*b**2 - 12*b + 51. Is j(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11709?\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1038400849 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1773083 and -37\/113678?\nAnswer: 1783721498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -5. Let m = 2 - l. Let j(q) = 6*q**3 + 23*q**2 + 23*q - 17. Let o(a) = -a**3 - 4*a**2 - 4*a + 3. Let f be 1\/4*1 + 411\/(-12). Give f*o(s) + m*j(s).\nAnswer: -2*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 962656 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 7, 0.31, 1, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 2*n + 22, -8 = 4*n - 2443*s + 2439*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*j + 2*d, 3*d - 1 = 4*j - 2. Find k, given that -4 - 3*k**2 + 10*k + k**2 + 2*k**2 - j*k**2 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*u + 56 - 20 - 36 to z + h*u and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*r - 5, -4*r + 3*r - 3*f = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166 + 35*g - 33*g + 958 + 622 + 41 to the form f + o*g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 8*d + 5. Let t be 6\/14 - 59\/7 - -3. Let i be k(t). Calculate the highest common factor of 340 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(20)*3 - sqrt(20))\/sqrt(10)*-2 + (-1*-3*sqrt(500))\/sqrt(10).\nAnswer: 3 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15755102437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6887 smaller than -6891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -1\/5 (c) 0 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 16\/5, 0.4, -2\/9, -0.9?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 + d**2 - d**2 + 0*d + 0*d + d**4 + (-2 + 3 + 4)*(16*d**3 - d**4 - 16*d**3).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + 4*m. Let u(l) be the second derivative of -7*l**4\/12 + 4*l**3\/3 - 2*l. Let s(j) = 5*n(j) - 3*u(j). Let h be s(4). Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10833 is divided by 3553?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1062\/(-2860) + (-40)\/(-200) and -117\/14?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -17 - 23 - 8 - -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*a - 22*a + 56*a in the form y + l*a and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.6, -0.18, 13.1, 3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, z: 2, l: 2}. Give prob of picking 3 j.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 6. Let a(t) = t - 1. Let l(v) = -3*a(v) + j(v). Let y be l(4). Let g = 11 + y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12295 (base 11) to base 2.\nAnswer: -100010011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/7*s**2 + 72 - 1262\/7*s.\nAnswer: (s - 252)*(5*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2197*k - 559*k - 39 + 39 + 374*k as p + g*k and give g.\nAnswer: -2382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c + 6*c + 28*c + 8*c.\nAnswer: 83*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*l = -124*l + 8*a + 68, 5*a - 4 = 22*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -239420 to the nearest 1000.\nAnswer: -239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i. Let s(q) be the first derivative of -q - 10. Let n = 2 - 1. Let d(c) = 2*c - 5. Let y(x) = n*d(x) - 5*s(x). What is y(o(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*y + 39. Suppose 2*r - 11 = d, -7*d + 4*d - y = -r. Let x(p) = 38*p - 21. Let j(i) = 20*i - 11. Let c(b) = -11*j(b) + 6*x(b). What is c(r)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2142667\/4 + 2858318219\/5336. Let f = y + 1\/232. Sort f, -5\/4, 0.1.\nAnswer: -5\/4, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/(k*k**(-12)*k)*k**(-3\/10)\/k**11)**(2\/5) assuming k is positive.\nAnswer: k**(-21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 310 and -3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 13*v**2 + 8*v - 8. Give w(5).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640372708.\nAnswer: 2, 13, 31545629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 10*c + 1\/20*c**5 + 3\/2*c**2 - 1\/3*c**4 - 1\/2*c**3 + 0. Determine d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*u + u - 4600, -b - 9221 = -2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5020 and 3765?\nAnswer: 15060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 626387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3. Let d(b) = -5*b**3 + 168*b**2 + 9408*b + 175616. Let o be 3 + -9 + 3 + 1 + -1. Let j(t) = o*x(t) + d(t). Find n such that j(n) = 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 1, u: 2, a: 1, s: 1, z: 2}. What is prob of sequence uabe?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 * 0.23.\nAnswer: -0.0667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 35 = 9*l. Suppose 0 = 13333*y - 13316*y + 68. Put l, 0, y in decreasing order.\nAnswer: l, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r - r)*(4 - 3 + 0) - 2*r + r - 5*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 1. Let m = 25.2 + -32. Let u = 6.4 + m. Sort c, u, -0.08.\nAnswer: u, -0.08, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 2, a: 1, d: 1}. What is prob of picking 1 d, 2 b, and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114.9 + 114.89. Sort -3.3, -4, x in descending order.\nAnswer: x, -3.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d3506 - 24?\nAnswer: -8d352a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:15 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (2*sqrt(2))**2)*-5 + ((sqrt(64)*-1)\/sqrt(4))\/(sqrt(800)*2).\nAnswer: -sqrt(2)\/20 + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -342 or -2467347?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719783427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 17 = 3*v, -6*x + 853*v - 851*v = -30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49506 = -2129*y - 31815 + 15322 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1327553364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1236 (base 9) to base 6.\nAnswer: -4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 181*u + 5. Suppose b - 3*l - 6 = -8*l, 23 = 2*b - l. Let c be r(b). Let n = c + -14024\/7. What is the common denominator of n and -143\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 9*v + 47 = -4*v, -4*i - 44 = -2*v for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17800.999981333 - -17801. Round x to 7 dps.\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301614632 to the power of 1\/2, to the nearest integer?\nAnswer: 17367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.3666\nAnswer: -0.7332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-22 + 15 - (1 - 4)) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.5, 53, -1, -8\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43d + -d0?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4 + 4)*(-501 + 2186 + 1168 - 201)*(2*n**4 + 3*n**4 - 6*n**4).\nAnswer: -2652*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 4*h + 8. Let s be i(3). List the prime factors of (3\/6)\/(s*(-7)\/39396).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 207747.03.\nAnswer: -20774.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -73.31 * -19.49\nAnswer: 1428.8119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -48*p + 139. Solve q - p*b = -3*q + 12, 0 = 4*b - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 8. Let d(j) = -j**2 - 4*j - 6. Let n be d(-1). Give k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3810125510 take away 0.17?\nAnswer: 3810125509.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(448\/88)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from cdmdcdbbsxbdbxc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v - 3 = i, -4*i - 4*v = -12. Suppose i = 3*h - 5*h - 4. Let x be (-4)\/(-5)*(-85)\/h. Solve 5*s - x = -9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-33 - (-14 + -9) - (0 + -7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4314, 8617, 12920, 17223, 21526?\n\"Answer: 4303*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/5, -7, -0.3, 0.018 in decreasing order.\nAnswer: 2\/5, 0.1, 0.018, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 65453722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*f - 13 = 0, 5*g - 5 = 4*g + f. Find w such that -1\/3*w**2 - 3 + g*w = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u**2 + 10*u + 7. Let g(r) = 3*r**2 + 3*r + 2. Let t = 7 - 14. Let h(c) = t*g(c) + 2*v(c). What is l in h(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67561.07 nanometers to micrometers.\nAnswer: 67.56107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*k - 14, -23 = 5*w + 5*k - 3. Let g = -8036 - -128547\/16. Find the common denominator of g and w*(-412)\/192*2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -78082?\nAnswer: -78085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 216, 323, 430, 537, 644?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 2*d - 11. Suppose 20 = -114*n + 115*n. Let q = d + n. What is the remainder when 11 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*p**2 - 113?\nAnswer: -110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1342068*j**3 - 2847248 wrt j.\nAnswer: -4026204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 137*u**3\/3 - 555*u. Let o(r) = -2*r**2. Calculate o(h(i)).\nAnswer: -150152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 916 = 62*n - 66 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24034.\nAnswer: 2, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**2. Let q(d) = -2*d**2 + 83*d - 126. Determine q(v(u)).\nAnswer: -200*u**4 + 830*u**2 - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*q**2*x + 3587*l*q*x**3 - 13*l*q*x - 3*q**2*x**3 + 39305*q**2 + 17*q*x**2 wrt l.\nAnswer: q**2*x + 3587*q*x**3 - 13*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-3)\/(3\/2). Suppose -z - 4 = 0, 5*d + 6 = -b*z + 2*z. Find the second derivative of u**d - 3*u + 0*u**2 + 0*u + u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -475031 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 3 + 3)*(63 - 27469*z + 13732*z + 13735*z) in the form n*z + d + v*z**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, 820, 4, -0.06 in increasing order.\nAnswer: -1\/7, -0.06, 3, 4, 820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*v**4 - 15*k*v + 190*k + 3*v**4 wrt v.\nAnswer: -4*k*v**3 - 15*k + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/120 and -11\/4868196.\nAnswer: 48681960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 4293\/44776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = -12*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o - 1935 = -66 + 1182 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 0*x + 3*x)*(-4 + 0 + 3) + (-5 + 4 + 3)*(x + 0*x - 2*x) as o*x + c and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1072 and 36?\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -130 times 0.97763\nAnswer: -127.0919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1815*j**2 - j**3 + 1251642*j - 1251642*j + 179*j**4 wrt j.\nAnswer: 4296*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 9*o**2 + 38*o**2.\nAnswer: 47*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x - 2*b - 106, -3*x - 4*b = -130. Let i = x + 42. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 + 294 = 4*y - 3*a, 0 = y - 3*a - 115. Suppose 4*s + 93 = 4*u - 19, -3*s = -4*u + y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 6. Let v be j(6). Let x = 6 + v. Which is the nearest to -2? (a) x (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (-466 + 484 - (-1 + 4 + 17))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3079188 and 35\/8?\nAnswer: 6158376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 108. Suppose 7 = f + 1. Calculate the least common multiple of ((-5)\/(5\/14))\/(-5 - l) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3173*y + 10259*y - 198246 = -171159 - 416615 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/(-20) + -8 + 52\/(-10). What are the prime factors of (-18)\/(-12)*(-532)\/u?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2411*w = 54458 + 29972 + 9599 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 17724795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -2283536?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 16*s - 975. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + 8*g**2 + 2*g - 119. Let c(q) = -q**3 + 3*q**2 + q - 40. Calculate -8*c(x) + 3*f(x).\nAnswer: 2*x**3 - 2*x - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 626454 and 32562?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4 + 2) - 0. Let t be (-13)\/2 - b\/2. Let l(x) = x**2 + 5*x + 6. Let p be l(t). Solve 0 = -s - 2*s + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 y, and 2 z when four letters picked without replacement from myzsybybyzzyqb?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 79*b**3 + 7643*b - 45 - 7643*b.\nAnswer: 79*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5335 minus -5?\nAnswer: 5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:41 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(20\/(-120))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6450877?\nAnswer: 6450877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*k + 21 = 0, -4*o - 4*k - 9*k - 11 = -k - 17*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 + 0*b**2 - b**2)*(2*b + b + 0*b)*(-4 + 2 - 5)*(0 - 2 - 3) to j*b + z*b**2 + k*b**3 + x and give k.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 7. Let i(k) be the first derivative of 1\/24*k**4 + 1 + 0*k + 1\/6*k**3 - k**2. Let w(t) be the second derivative of i(t). Give -l(z) + 6*w(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - 1813?\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 42*m - 515. Let a be f(12). Let p(z) = 3*z**3 - 5*z**2 + 2*z - 7. Let i(v) = 8*v**3 - 14*v**2 + 6*v - 20. What is a*p(w) + 4*i(w)?\nAnswer: -w**3 - w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/3)*w)*w*w)**26*(w\/(w\/w**(1\/2)*w))**(-25)*(w**(1\/5))**(-4)*w**(4\/3)\/w**(-7) assuming w is positive.\nAnswer: w**(1901\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * -0.7.\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 2*x + 2*x + (2*x + x - x)*(-50 + 94 + 305).\nAnswer: 699*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*9\/(-81)*43\/((-2150)\/(-1260)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*t + 3276, 43*t - 44*t - 4*f + 640 = 0. Calculate the remainder when 668 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2803 (base 16) in base 6?\nAnswer: -115231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*m + 14. Let q be m\/((-4)\/((-80)\/(-1))). What is the greatest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 14. Suppose 4*o - 5*y - 4 + u = 0, o = 3*y - 10. What is the tens digit of 2\/(o\/(-625)) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 16 - 42 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66526138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3245488 is divided by 81134?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*3\/(-15) - 10240\/(-50). Calculate the highest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -346 - -20. Let x = -150 - l. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618267585 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -158.000000341. Round k to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5 + (4 + -3 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmm when three letters picked without replacement from mmmmcmvmmmvymymmmmv.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 580 = 6*w. Suppose 0 = -b + w - 37. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 1171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -2.5 (c) -1 (d) -143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from yrigggrg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -33083.\nAnswer: 33036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -3\/5 (c) 2\/17 (d) 61 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - (sqrt(5) + 5 + sqrt(5)*6))**2 + (sqrt(5) - (-5*sqrt(125) - sqrt(5)) - sqrt(5)).\nAnswer: 87*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**3 - h**2 + h + 1. Suppose -a - 2*w + 0 - 5 = 0, 7 = a - 4*w. Let z be r(a). What is the greatest common factor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d**(-4)*d)\/((d\/((d*((d\/(d**(-5)\/d))\/d)\/d*d)\/d))\/d**(2\/25)))**(-2\/9) assuming d is positive.\nAnswer: d**(32\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 + -33?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 8. Suppose u - g = -0*u. Let w be -1*(1 - (u + -1)). Is -1\/7 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16558005 and 890.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21489089 or 21489082?\nAnswer: 21489089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34575*b**3 - 11604*b**3 + 2*b**2 - 2*b**2 - 11450*b**3 - 11531*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffoq when four letters picked without replacement from fofofofofoffqffoffof.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4039*p - 112270. Calculate r(-28).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 15. Suppose -i + 765 = 2*i + 3*k, -k - 761 = -s*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3894*q = 3198*q + 3480 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625949.1s to nanoseconds.\nAnswer: 625949100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293659 is divided by 818?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -2*o + 4*k, 7*o - 12*o = -k + 306. Let z be o + 65 - (-2)\/(-2). Solve 2*i + z - 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114691 less than -10629.9?\nAnswer: 104061.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3569 is divided by 1082?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436000 rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**3 - 2328*f**2 - 62637*f + 64962 = 0.\nAnswer: -27, 1, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1500\/(-54) - (-14)\/2*4\/(-3024)*24\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -87*c**2 - 689*c + 13. Let u be w(-8). Is u less than -515\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112058 and 34122964.\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.5, 6, -0.06, -0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 41*p - 30. Let n = -369 + 330. Let h be i(n). Let s(o) = -o**3 + o + 240. Let l be s(0). What is the greatest common divisor of h and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x. Suppose -5*q - 4 + 74 = r, x = 5*q - 15. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*h + 14071 - 2861 = 0 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - 1. Let g be -7 - y\/10 - (-22)\/5. Let t(j) = -j. Determine t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7431*c - 26 = -7434*c + 3*v + 16, 7*c + 4*v = 109 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:38 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5986546, 5986554, 5986562, 5986570?\n\"Answer: 8*s + 5986538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1124 - 0?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, 1 o, and 1 k when four letters picked without replacement from {y: 1, d: 2, i: 1, o: 1, k: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*3\/3)\/((-38)\/((-6)\/(-36)*6)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.006*0.2.\nAnswer: -0.2012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 42, -9, -7, -16 in increasing order.\nAnswer: -16, -9, -7, 2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -7*u + 12*u. What is the lowest common multiple of (-55)\/(-3) + 2\/(-6) and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306758859, -306758858, -306758857, -306758856, -306758855, -306758854?\nAnswer: -306758853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*q**4 + 2 - 108*q + 23*q**4 - 94*q**4 + 35*q**4 - 10*q**3 wrt q?\nAnswer: -108*q**2 - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 4*o + 26*o = -441 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and (13\/2)\/(5\/1930) + 285 + -293.\nAnswer: 22509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12 and -1\/4536?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718070685?\nAnswer: 5, 31, 89, 124543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 31905745.\nAnswer: 4\/31905745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12070 and 6223150?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 8*t - 9. Let n be w(-5). Let m(d) = 1 - 7*d - n - 1. Let u be m(-4). Solve 0 = 2*c - 7*c - 10, 4*i - 5*c = u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 47*w + 337. Give i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 9*x + 3*x**2 + 1\/3*x**3 - 2. Let h(r) = 0. Calculate r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)\/d)**(2\/37)*d**6*d**1 assuming d is positive.\nAnswer: d**(767\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 - -3.88. Let p = -0.07420736 + 0.0942074. Let f = p + u. Round f to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -112 and 464129.\nAnswer: 464017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136, -140, -146, -154, -164?\n\"Answer: -i**2 - i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1355 by 271.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**2 - 8*p**2 + 7*p**2 + 17*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(3*f - 5*f - 10*f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*l - 2, 3*j = 14065230*l - 14065227*l - 18 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 0 + 52\/(-13). Suppose q = 8*a - 11*a + 4497. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3700414 and 29603312.\nAnswer: 29603312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102850 divided by -11\nAnswer: 9350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from pamemtp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3, 0 = 4*g + b - 49 + 6. Let q(f) = -5 + 5*f + 4 + f + g*f**2 - f**3 - 7*f**2. Calculate q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8543176.\nAnswer: 2, 53, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 39634.74 micrometers?\nAnswer: 39.63474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c - 30. Let u(a) = a**2 + 2*a + 11. Is u(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f + 20*f + 2*f. Let v(x) = -9*x**2. What is v(g(q))?\nAnswer: -1521*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgca when four letters picked without replacement from rczgsarrsrscaacaaza.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -31. Let l(r) = -452*r - 1786. Calculate the smallest common multiple of l(-4) and f.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s = 29 - 29 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.6 - 129022.\nAnswer: -129011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3 - -7) + 1431\/(-159).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/sqrt(7) - sqrt(17))*-3)**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - (-20)\/6. Let r(t) = -5*t**2 + 2 + 8*t**2 - t**2 - 5*t. What is the units digit of r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/19)*l**(-4))\/((l*l**(1\/14))\/l*l\/l**(-1\/16)) assuming l is positive.\nAnswer: l**(-8573\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (135 + 84 + 641)*(-v - 2*v + 4*v)*(1 + 2 + 0) as o*v + z and give o.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-7\/9)*n))\/n)\/(n*(n*n\/(((n*n*n**(-16)*n)\/n)\/n))\/n))\/(n**(-6\/7)*n\/(n*n\/n**(-2\/5))) assuming n is positive.\nAnswer: n**(-5519\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6841.8 or 4?\nAnswer: 6841.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100677, -201869, -304069, -407781, -513509?\n\"Answer: -84*s**3 - 100604*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2*h - 18. Let b be r(-6). Solve o + o + 4 = -4*k, 2*o = -5*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 - 0) + 9)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -4\/3, 0.2, 26\/5, -0.018, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:54 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5650879 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7ca - 314?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23957, -20170, -16383?\nAnswer: -12596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + (2 - -1))*8. Let t be (-150 - y) + 0 + -2. Let s = t - -204. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 18*o**5\/5 + 48*o**4 + 572*o**3\/3 + 160*o**2 + 50*o + 11. Factor h(u).\nAnswer: 2*(u + 5)**2*(3*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2. Let y(s) be the third derivative of -s**4\/24 - 16*s**2. Determine y(p(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72243 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -56*w + 1232. Let r(l) = -5*l + 112. Let b(x) = 3*a(x) - 32*r(x). Let k be b(14). Solve d + k*d = -6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:11 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, t: 5, w: 1}. What is prob of sequence wttt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -23. What is the remainder when 50 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(48)\/sqrt(128)) + -4)**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*4 - 90\/45. Let b(f) be the first derivative of 5\/3*f**3 + 4 + 0*f**4 + 0*f + 0*f**2 - f**6 + v*f**5. What is the third derivative of b(z) wrt z?\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l\/(l*l\/l**1)*l)\/l)))\/(l**(-2\/51)*l) assuming l is positive.\nAnswer: l**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2061414160 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*a + 514 = 209*a - 1481 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11894 + -11281. Solve -f*w + 63 = -592*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10*f**5\/9 - 349366*f**4\/9 - 69844*f**3\/3 + 2934712*f**2\/9 + 3074320*f\/9 - 558976\/3 = 0?\nAnswer: -34936, -2, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 3566 = -21*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*t**2 - 1105392*t**3 + 2085*t**5 + 1105392*t**3 wrt t.\nAnswer: 125100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 2*s - 6. Let g be (132\/(-110))\/(4*3\/30). Give a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from {b: 1, k: 2, v: 4, e: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549314 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154567\/110 + -294\/55. Let w = o + 1376. Let a = 233685\/16 + -14599. Find the common denominator of w and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 3*b - 3*y - 322, 305 = 4*b + y. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*13.87\nAnswer: -5.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-12) + 1 + 6\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8575 - 3524. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.23666t to grams.\nAnswer: 46236660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -31*(1 - (-3 - -5)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-140\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/6 + 5*y**2\/2 + 9*y. Calculate q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*b - 65, 2*q - 4*b = q - 16. Let i be q\/14 - -2 - 1. What is the closest to 1\/2 in 3, i, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20329 (base 11) in base 14?\nAnswer: -ab5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 - t + 2. Let p(z) = -z**2 - 194*z + 2. Give i(r) - p(r).\nAnswer: -r**3 + 193*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/15 - 376*w**2. Let b(o) = -54*o**2. Determine i(b(t)).\nAnswer: 11664*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90311643 and 369.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3863 or -3862?\nAnswer: -3863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.05. Let w = x + 5.05. Which is the second biggest value? (a) -3\/7 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 5*l**3 + 18*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (4 - 2)) + -2 + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**3 + 399*l**2 - 200*l + 133. What is w(-67)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69620 (base 12) in base 2?\nAnswer: -100010011000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2500 by 250.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 34. Suppose 0 = 2*i - 4*u - 66, -4*i + 6*u + 148 = 2*u. Which is bigger: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (62\/(-18) - -2) + 1. Let s = -6.98 + -0.02. Let d = 6.8 + s. Which is the nearest to 2\/9? (a) d (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-31698)\/(-1638)) + (0 - 2\/26).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 - 7*b - 4. Let v = 27 + -12. Calculate the remainder when v is divided by u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209203.\nAnswer: 209203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 25 = 0. Let b = -793 + 801. Calculate the least common multiple of q and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 29253.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406782923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 50 = -0*t. Suppose 3*m - 9 = -0*m, -2*n + 5*m = t. Let u = -3 - -6. What is the biggest value in 1\/2, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3902*s**4 + 1947*s**4 + 1 + s**2 + 1951*s**4 - 74*s**3 in the form m*s**4 + a + w*s**3 + k*s**2 + n*s and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c**2 - 8*c - 19. Let l = -7 - -25. Let h be s(l). Let b = h + -2194. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -187.\nAnswer: -3\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(-r**2 + r**2 - 2*r**2)*(r**2 + r**2 + 7*r**2) to the form m*r**4 + o*r**2 + q*r**3 + l + z*r and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Solve -d*v = 7 + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1.476. Let t = -0.306 + a. Let f = 0.09 + t. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5*u**2 - 14*u**2 - 239 + 249 + 7*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(3648) - 2*sqrt(3648))*4 + (sqrt(3648) - 6*(sqrt(3648) + 2*sqrt(3648))) + sqrt(3648))\/(-5*(sqrt(3) + -5*(sqrt(3) - sqrt(27)))*-2).\nAnswer: -16*sqrt(19)\/11 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 94. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**7\/840 - 3*k**6\/16 - k**4\/3 - 5*k**3\/3 - 11*k + 2. Let f(d) be the third derivative of p(d). Solve f(i) = 0 for i.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.8 + 19. Let q = 4 + -9. What is the closest to 1 in r, q, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111111473?\nAnswer: 11, 17, 594179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577 a factor of 537577060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/14 - (-612)\/28 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*f + 102 = q + 104, -6*f = -4*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-108)\/(-3))\/(-2) - -3. Let n = m + 21. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -1)*(5\/3 - 0). Solve -4*d - 3 + s = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/21)\/((-3)\/7 + -1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 195.9 (b) 2 (c) -1 (d) 12.3 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 2}. Give prob of picking 2 u and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((49 - 4)*16\/(-24)*1)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j + 2*o + 25 = -76*j + 151*j, 0 = -9*j - 8*o + 225 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 11*x**2 - 29*x - 38. Let h be s(-8). Let w(u) = 2*u. Let i(n) = 23*n + 5. Determine h*i(z) - 22*w(z).\nAnswer: 2*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + 10*q**2 - 5*q - 4. Let x(n) = 7*n**3 - 19*n**2 + 10*n + 7. Let y(l) = 5*o(l) + 3*x(l). Let s = -3 + 9. What is y(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09295 + -0.17095. Are v and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49506 divided by 16502.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.3 (b) 3 (c) 0.4 (d) -4\/221 (e) -0.3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:32 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:58 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -118 + 10. Calculate the common denominator of 23\/9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7839 and 50.\nAnswer: -391950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/10 + (-1)\/5. Let y = 3 - w. What is the lowest common multiple of 1 + -2 - (-9 + -2) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90314.13 centuries to decades.\nAnswer: 903141.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8001 is divided by 7980.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8893 - 2*o**2 - 8893.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -14*m + 1659. Let w = m - 3853\/7. Factor 36\/7*q + 3\/7*q**3 + w*q**2 + 24\/7.\nAnswer: 3*(q + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((133\/(-21))\/19)\/((-1)\/(-39))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 15219144.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6963 and 15442035?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 100*n + 8. Let l(m) = 6*m**2 + 301*m + 22. Let r(k) = -4*l(k) + 11*x(k). Let c(h) = -3*h. Calculate c(r(z)).\nAnswer: 6*z**2 + 312*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -79\/1272, -0.1, 2\/9 in decreasing order.\nAnswer: 2\/7, 2\/9, -79\/1272, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) - ((sqrt(65) - sqrt(65)*3) + sqrt(65)))) + sqrt(65))\/sqrt(5) + (sqrt(13) - (0 + sqrt(468)) - sqrt(13)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/12 (b) 6 (c) -7 (d) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 - 3*s**3 + 3*s**3 + (0*s - 7*s + 2*s)*(-22 - 15*s**2 + 22) + (-2*s**3 + s**3 + 0*s**3)*(1 - 2 + 2).\nAnswer: 70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 2 + 4*g + 3*g. Let h(j) = -7*j + 3. Let q(k) = 6*k - 2. Let s(b) = -3*h(b) - 4*q(b). Let o(y) = -8*s(y) - 5*w(y). What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621187?\nAnswer: 7, 88741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12971657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*o**4 - 36*o**4 + o**3 + 23*o**4)*(-7*o - 19*o - 13*o).\nAnswer: -702*o**5 - 39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7936 is divided by 361.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 13*f - 26*f + 95*f - 25*f as p*f**2 + s*f + j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 9*f**2 + 10*f - 7. Let n be v(8). Let i = 8 - n. Which is the second smallest value? (a) i (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 4.7. Let z = -3\/11966 - 131617\/35898. Which is the second biggest value? (a) z (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638005?\nAnswer: 5, 127601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10792, 21634, 32476, 43318, 54160?\nAnswer: 65002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 79 - 204. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, d: 3, f: 6}. Give prob of sequence ddz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5.8. Let v = 0.3 - 0.4. Let d be (18\/4)\/3 + -2. Which is the nearest to d? (a) g (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 3) + (-4 - (6 - 8) - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10111101111 (base 2) to base 4\nAnswer: 113233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/20 - 5*i**4\/6 - 2*i**3 + 2*i**2 - i. Is l(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*10\/(-15) - 0. Let c be (4\/w)\/((-10)\/30). Suppose 2*v - 4*v = -c*z + 118, 4*z + 5*v = 281. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288735 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(83 - 1237). Let g = 1179\/2 + x. Let -28*m**2 + 0 - 6*m - 55\/2*m**3 + g*m**4 = 0. What is m?\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 687507, 687255, 687009, 686769?\n\"Answer: 3*k**2 - 261*k + 687765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (63\/21 - 7\/1) + 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23643*z - 22 = 23647*z + c, 0 = 2*z + 6*c - c + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1118 + -798. Let m = l + -215. Let y = m - 88. What is the second biggest value in -1, 1\/5, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-252)*(-18 + (-2208)\/(-115)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (1 + -4 - 0) + 0 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + -971.6696336.\nAnswer: -971.6096336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 33, 79, 163, 297, 493, 763, 1119?\n\"Answer: 2*l**3 + l**2 + 3*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*s - 375 + 7393, 0 = -2*p - 2. Suppose 4*c - s = -2*x, 7*c = 5*c. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000141441 + 10?\nAnswer: 1000142001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 85*u - 24446. Determine h(266).\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 4, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*y - 11, -5*y - 19 = -4. Solve -5*u = o*p - 20, 3*u = -u + 3*p - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -440046596*m**5*z**2 + 4*m*z**2 + 12185313 wrt m?\nAnswer: -8800931920*m**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/30, -7\/3, 5, -2\/3, 2\/9, -1?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 100. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 82*k + 257. Let d be t(6). Let i = d + -748. Is 8\/83 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1)\/g)\/g)**(-7\/2))**24)**(12\/5) assuming g is positive.\nAnswer: g**(3024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1158*13039\nAnswer: 15099162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*p - 9 = 0, 2*p = 3*n + 2 - 1. Solve -s = n + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 6*q**4 - 3*q**4)*(0 - 2 + 1)*(2*q + 0*q - 5*q).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**8\/336 + 71*g**6\/120 - 13*g**5\/30 - 3*g**2 - g. What is the third derivative of q(n) wrt n?\nAnswer: -60*n**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/((-5)\/((-25)\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431068 - 431061. Suppose 2*a + f = 53, 3*a - 4*f + f = 93. What is the highest common factor of y and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {u: 4, s: 1, w: 2, t: 2, l: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a**2 - 4*a - 3. Let b be l(-1). Let i(u) = u**3 + 12*u**2 - 16*u - 13. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 37 = -157. Suppose -6 + h = 9*t. Solve t = 2*m + 4 + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 + 67796*p - 5170834818.\nAnswer: -2*(p - 152541)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2. Let b(v) = 25*v. Calculate b(g(i)).\nAnswer: 125*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1545?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000135756 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -34141202422?\nAnswer: 34141202424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a61 (base 14) to base 10.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0204636*7.\nAnswer: -0.1432452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359394493977 plus -6?\nAnswer: 3359394493971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 964362030*v**4 - 833957946*v wrt v.\nAnswer: 11572344360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(5 - 4*z - 5)*(-3 + 1 + 5)*(-3*z**3 + 3*z**3 + 2*z**3)*(-86 - 14*z + 86).\nAnswer: 336*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6421.19, -8, 0.1 in descending order.\nAnswer: 0.1, -8, -6421.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 21*q**2 - 165*q + 2425. What is n(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 n, and 1 u when four letters picked without replacement from bqbubbqbnnbv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 5*w - 3. Let b(q) = q**2 - 4*q - 2. Let z(a) = 4*b(a) - 3*r(a). Give z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585362262 to the power of 1\/2, to the nearest integer?\nAnswer: 24194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68191, -135600, -202801, -269800, -336603, -403216?\nAnswer: -469645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 644 divided by -876236\nAnswer: -161\/219059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278075 (base 9) to base 3.\nAnswer: 22122002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/4 - 3*t**3 - 6*t**2 - 51*t + 95. List the prime factors of v(-12).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:02 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k - 12*k + 1121 + 1471 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 2, -2, -8, -16?\n\"Answer: -n**2 + n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:27 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 * 25\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 17 = 10*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 135 = -3*g, 3*r + r - 51 = g. Let s = g + 45. Suppose s*x + 41 = -b + 255, b = -5*x + 541. Does 36 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 - 210 + 809 + 3178)*(-k + k - 2*k**5) - 2*k**5 + 3*k**5 + k**5.\nAnswer: -7244*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -392533.64 to the nearest 10.\nAnswer: -392530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 380a9 (base 11) to base 12\nAnswer: 27796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 433342439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -19. Is 760\/a - 2\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41, -4, 4, 74 in ascending order.\nAnswer: -4, 0, 4, 41, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - 3841 - 300*c + 398*c.\nAnswer: 98*c - 3457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 take away 170.9?\nAnswer: -81.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42122.\nAnswer: 2, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259749511 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 1 + 1)*(-4 + 3 - 1) + (b + b - 4*b)*(b + 3*b - b)*(-2 + 2 - 2).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -136 and 0.19.\nAnswer: -135.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*y**4 - 99*y - 22*y**4 - y**2 - 25*y**4 wrt y.\nAnswer: -84*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118520 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1895, -1892, -1889, -1886, -1883?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3984108840 and 0.033.\nAnswer: -3984108839.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 32*p + 4. Let t(o) = 2*o - 1. Let k be t(3). Suppose 0 = -d + 5*d + 8, k*a + d = 13. Does 30 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40426791 to the nearest 100000.\nAnswer: -40400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9821011?\nAnswer: 1949, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2548 in -4, 2\/9, -0.354, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**2 - 11*m - 10*m**2 - 6*m**2 in the form a*m**2 + k + h*m and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/171 and 53\/4?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.1 + -25.7. Which is the nearest to 0.1? (a) -0.1 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275 by 1759.\nAnswer: -275\/1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w + 3*n + 336, -4*n + 219 = -3*w. Let a be -4*(-1 + 2 + 7). Let t = a - w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1319\/250 - 72\/125. Let z be 7 - 218 - 2*1. Calculate the common denominator of 4\/16 - z\/108 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16085 - 16072. Let o(f) = 3*f + 38. What is o(d)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 + 15*w**2 - 2*w + 2. Let u be t(-4). Let n be (1 + (-5)\/3)*-3. Let m(q) = -q**2 + 4*q - 3. Let f be m(n). Sort 2, f, u.\nAnswer: u, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48707 is divided by 711?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaiaaaaaaiiaaii. Give prob of picking 1 a and 3 i.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3 (c) -52 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 32835487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 35. Let q = k + -3. Let y = q + 10. Which is the closest to 1\/2? (a) y (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from gidaidyzddydddgzzy.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -48221, 202.\nAnswer: -48221, 5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6))**(-1\/10))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2800.976\nAnswer: -5601.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1835 + 1847. Solve 4*i - 3*j + c = j, -3*i - 5*j + 23 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 48*k**2 + 3*k + 60. Let l be x(-10). What is l rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216022?\nAnswer: 2, 108011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 + 3983*f. Let q(i) = -i**2 - 41. Calculate t(q(b)).\nAnswer: -4*b**4 - 4311*b**2 - 170027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(3\/144*21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*t - 13, -22 = -2*h + 6*t - 3*t. Suppose -h*p + 8 = -p. Calculate the least common multiple of (p*-1)\/((-22)\/33) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1635*j**3 + 527*j**3 + 591*j**3 + 519*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Let k(d) be the first derivative of 11*d**2 + 18. Give k(j(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0612294 - 4311098.\nAnswer: -4311097.9387706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 343\/4 - 245\/2*u - 11\/2*u**3 + 42*u**2 + 1\/4*u**4 = 0. Calculate u.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1998384 and 28\/507?\nAnswer: 337726896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.1, 948, -3.\nAnswer: -3, -2\/3, -0.1, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -140856*w**2 + 175019 wrt w.\nAnswer: -281712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -518, -517, -516, -515, -514?\n\"Answer: k - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -131517 (b) 8 (c) -5 (d) 14 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5797 plus -122667333?\nAnswer: -122673130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(107\/((-76505)\/(-26)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0519 - 0.0481. What is the second smallest value in 10, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(6\/(-18))\/((-4)\/(-84))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15184 - 209 - 6*(0 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 17 = -4*b. Let x be (3 + (-14)\/b)*-66. Let c = x - 14. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*p + 6 = 2*o, -5*p = 4*o - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 1366212.\nAnswer: -5\/227702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19604\/(-2262)*(-9)\/(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.096 + 0.204. What is the biggest value in -4, 5, -28, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -126, 156, 1960, 6378, 14502?\n\"Answer: 182*k**3 - 331*k**2 + k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 + 108*c + 653. Let q(n) = -19*n**2 + 213*n + 1307. Let l(s) = 2*q(s) - 5*r(s). Factor l(v).\nAnswer: -3*(v + 7)*(v + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/8 - p**3\/6 + 3*p**2\/2 + 3*p. Let l(t) be the first derivative of z(t). Find the first derivative of l(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/7, 0.3, -4\/5 in increasing order.\nAnswer: -4\/5, -3\/5, -1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-6)*(4\/(-7))\/((-360)\/(-756))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/77089 or 2\/9?\nAnswer: 6\/77089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3 - 792*r**2 + 4625*r + 71526 = 0.\nAnswer: -7, 13, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 7. Let c(v) = -2*v + 5. Let o(q) = 4*c(q) - 3*w(q). Let s(i) = -3*i + 5. Suppose 3*u - 23 = 5*d, 3*d = -d - 16. Calculate u*s(g) + 6*o(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 6 = 0. Put -35, p, 1 in decreasing order.\nAnswer: 1, p, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*(1470\/(-189) - -9 - 4\/18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1250, -361, -2\/5, -0.05?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240845 * 0.2.\nAnswer: 48169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3326)\/6652 + -1 + (-807)\/(-534).\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/7, 478, -1, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 479404 and -790576.78.\nAnswer: -311172.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4101 + 457 + 443 - 3*x + 3228.\nAnswer: -3*x + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 816440*r**2 + 83396030554*r + 15151045859404.\nAnswer: 2*(r + 182)*(r + 204019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/((-1)\/(-3)). Let g be (-1331)\/(-7) + q\/(-14). Suppose -k + 2*u + 79 = 0, 4*u - g = -6*k + 4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3194164.\nAnswer: 2, 17, 107, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6210 and 2622?\nAnswer: 117990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4 - 0. Let z = 46 + -24. Calculate the remainder when 81 + 4 + (0 - d) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1121399, -1121400, -1121401, -1121402, -1121403, -1121404?\nAnswer: -1121405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1283738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 8*m**2 - 6*m + 3. Determine p(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**2 + 362 - 2*h**3 + 105*h**2 - 13 - 50*h**2.\nAnswer: -2*h**3 + 349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + h - 29. Calculate b(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrorrrcrprdc. Give prob of sequence prdr.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*l + 15 = 277*l. Let a be 1049 + (-1)\/2*-2. Suppose 0*n = l*n + a. What is n rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*h**2 - 945362*c**4*h*u + 13*c**2*h**2 - 1082*c*u - h + 24*u wrt c?\nAnswer: 24*c*h**2 - 22688688*c*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/30 - 2*k**5\/5 - 2*k**4 - 16*k**3\/3 - 7*k**2 - k. Determine j, given that y(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 85*s**2 - 92*s + 29. Let t be z(-41). Let g = t + 2593. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -2\/13, -51, 2, -2815\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.4. Let u = b + 0.7. Put 0, 2, u in increasing order.\nAnswer: 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126 + -1.799?\nAnswer: -1127.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3*x + 3 = 3*c, 0 = -5*c - 5*x - 5. Let t(n) = -n + 231. Let k be t(c). Let d be k\/45 + 2\/(-15). Solve -25 + 3 = -5*i - s, -i - 6 = -d*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*r + 88163 = 188*r - 295409. Does 80 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97.7753 + -98.23. Let x = i + 0.46. Let w = x - 0.001. What is w rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.45 - 2.4. Let k = s + 2.3. Is -1 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -592 - -587. Which is the closest to -2\/3? (a) -2\/9 (b) -4\/15 (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1283462 and -0.1.\nAnswer: -128346.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54\/7*y**3 - 225\/7 - 108\/7*y**2 - 390\/7*y - 3\/7*y**4 = 0. What is y?\nAnswer: -1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3*g**3 + g**2 - 38. What is the second derivative of n(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-46))\/((-3576)\/(-41124))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r. Let z(d) = -6*d + 4*d + d + 3*d. What is z(s(g))?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137117 is divided by 89.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 34*d - 12. Let f be k(-2). Let t = f - -80. Let n(a) = -1 + 4 + a**3 - 2 + t. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39891 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*o**2 + 12*o**4 + 105*o**3 - 105*o**3 wrt o?\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3866*a*h - 210318197*a + 510*h wrt h?\nAnswer: 3866*a + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1872 and 693810?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*v - 9 + 112, v = -2*t + 184. What is the remainder when t is divided by (1 - 5 - -33) + 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from qhmhhxchhxxhxuxq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c28089 (base 15) to base 16.\nAnswer: -8d012f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1001601.8 to the nearest 1000.\nAnswer: 1002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891687?\nAnswer: 3, 23, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 6 + -1 + 3 - 1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263 - -259. Let a be (-21)\/(n - -1) - 6. What is the second biggest value in -5, 3\/4, -10\/9, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - u**2 + 144*u - u**2 - 144*u to z + i*u**2 + f*u and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6623377 (base 8) to base 6.\nAnswer: -102050115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 9*t**2 + t + 1. Let u be y(-9). Let z = u + 6. Let d be 36\/21 - z\/7. Solve -4*i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*c + 5 - 30, -4*c = -5*m - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*55\/(-605)*11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 14*b**2 + 24*b - 21. Calculate y(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 970521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {a: 1, z: 1, c: 10, n: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*r + 3097, 8718 = 4*r + 4*o + 2534. What is the highest common factor of r and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.31621+16\nAnswer: 14.68379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13982 is divided by 159?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/16)\/(40\/160) + -6*7\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -1)\/6*-62. Let q = u + 45. Suppose 0 = 6*l - q - 10. Solve 2*z + 6 = l*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**3\/6 - w**2\/2 - 5*w. Let x(n) = 2*n + 2. Give 4*l(t) + x(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - -145 - (-6 + 40)) + (0 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and -11?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/9)\/(26\/312). Suppose b + 4*q = -0*q + 300, k*q = 12. What is the highest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((-6 - -3 - (1 + -7)) + 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4090566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -66.85, 0.04, 182.5 in decreasing order.\nAnswer: 182.5, 0.04, -66.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/575564 and -125\/12.\nAnswer: 1726692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7567910.\nAnswer: 2, 5, 7, 73, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 24 = 2*i + 5*p, 3*p + 15 = 0. Calculate the remainder when i is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/11160 and 97\/8472?\nAnswer: 3939480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-42 - -24) - 23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {v: 1, m: 2, h: 4, f: 2, c: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 3*x**2 + 4*x - 2. Let s be i(2). Let f = -4 + 7. Let z = f + s. Let r(d) = 2*d - 6. Determine r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1\/7, 4 in descending order.\nAnswer: 23, 4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**30\/(((i*i\/(i\/(i**(-1\/9)*i)))\/i)\/i*(i\/((i\/i**(-3))\/i*i)*i*i)\/i) assuming i is positive.\nAnswer: i**(289\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 18*q - 3. Let s be j(2). Let p = s + -6. Let f(b) = -2*b**2 + 151*b - 569. Let g be f(4). Calculate the greatest common divisor of g and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/((630\/40)\/(-3)). Which is the closest to 7? (a) -2\/77 (b) -4 (c) 2\/11 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -13*o + 24. Determine d(15).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 2236, 3335, 4426, 5509, 6584?\nAnswer: 7651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8018 + 8148. What is the smallest common multiple of k and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3, 4, 5 in descending order.\nAnswer: 28, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8082 and 366.\nAnswer: 493002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 0. Let j = 2281 - 2282. Are j and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*x = w - 22, 0 = 3*w + 5*x + 35. Let d = -0.828 + 591.828. Let u = d + -590.6. What is the closest to 1 in w, u, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 155?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5563 - 5426. Calculate the greatest common divisor of 13837 and q.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m**2*o**3 - 12*m**2*o**2 - 4*m**2*o + 54*m*o - 4*o wrt o.\nAnswer: 108*m**2*o - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, o: 1, v: 4, g: 4, n: 1}. Give prob of sequence rrv.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + (-3)\/(-2). Let n = -3431 + 3431. Let k(m) = -4*m**2 - 1. Let y be k(-1). Which is the second smallest value? (a) y (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152040 - -25?\nAnswer: -152011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 14*w + 76. Let a be h(4). Solve 4*d = -3*j - 18, 7*d - a*d = j - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4192 - -205430\/49. Calculate the common denominator of 42\/5 and i.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 + 241 + 126)*(-3 + 47*w**4 + 3*w**2 + 47*w**4 - 93*w**4) to the form z*w**4 + p + o*w + c*w**3 + k*w**2 and give z.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 - 27990*t + 587349 = 0?\nAnswer: 21, 27969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c235 (base 16) in base 15?\nAnswer: eae7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -762dc5 + 3?\nAnswer: -762dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 42*a = -45*a + 336998, 5*a = -10. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10420*d**2. Let w(h) = 1305*h + 1308*h - 3920*h + 1306*h. Determine w(o(p)).\nAnswer: 10420*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1031 = -4*i, -7*n + 4*n = i + 254. Let t = -40 - i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 11, a: 7}. What is prob of sequence aa?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(256) - sqrt(16))*-3)\/sqrt(8)*3 + (-2*sqrt(8))**2 + -4 + (sqrt(32))**2.\nAnswer: 30*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/144 and 11\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 2*x**2 + 23 + x - 5*x + 11*x in the form g*x**2 + i*x + j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4.697 times -9\nAnswer: 42.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnzbjnbbpbkkjb. Give prob of sequence pbjj.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppzpzp. Give prob of sequence pp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 x when four letters picked without replacement from xxxexxxxexexxx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 66*h - 351. Let b be a(9). Solve -4*q = j + 21, b = -4*q - 21*j + 24*j - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (240\/64)\/(-3*1\/(-11448))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -5 (c) 2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29581 is divided by 171.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -3*w. Suppose h = -l + 15, -5*h = -w*l + 16 + 7. Let n be (-4)\/(-2) - 0\/(-2). Calculate the greatest common factor of l and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -276.999889. Round i to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.9 - 0.2.\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/20 - g**5\/30 - g**4\/8 - g**3\/6 + 9*g**2. Let z be o(-1). Let k be 3\/(18\/(-3))*z. Solve -k*x + 10 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1054776 or 1054794?\nAnswer: 1054776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7632*b**3 - 2544*b**3 - 2543*b**3 - 2546*b**3 - 18*b.\nAnswer: -b**3 - 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/49 (b) -0.02 (c) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffl when three letters picked without replacement from ffflffll.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 26*f - 7. Let x be h(2). Let k = 476 + -458. Let q(t) = -45 - k*t + x + t. Let g(n) = -n. Give q(g(z)).\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981846581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 26*j**2 + 257*j + 514. Let y be v(34). Let k be ((-4)\/40)\/((-4)\/15). What is the closest to 1 in -0.2, y, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76547 and 83968.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 35*r**2 + 5*r - 24. Let h be w(3). Factor h*f**2 + 170428 - 52516 + 499*f - 10903*f - 3*f**3.\nAnswer: -3*(f - 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-16)\/(-6))\/(78\/(-81) + 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 9*i - 5. Let y(z) = 2*z**2 + 8*z + 4. Let c(j) = 3*r(j) + 4*y(j). Let s(d) = -d**2 + 8*d - 3. Let k be s(7). What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 4 - 4 - (31 - 21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**2. Let w(l) = -2*l - 20. Give w(y(q)).\nAnswer: 22*q**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 99*f - 30 = 0, -2*f - 2*f = k - 6*f + 5 - 35 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -0.5. Let m = k + 0.4. Let j(n) = n**3 + n**2 + 5. Let o be j(0). Which is the smallest value? (a) m (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -36*z**2 - 52*z + 368 = 0.\nAnswer: -4, 23\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*s + 3*b, -2*b + b = 3*s - 166. Suppose -3339 = 14*m + 7399. Is m\/(-5) + 33\/s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1745 and 200446405.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*w**2 + 74*w**4 + 46*w**3 - 3*w - 88*w**3 + 41*w**3 - 12*w**4 + 2*w wrt w?\nAnswer: 1488*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 181627 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p\/(p\/(p*p**(-10)*p))*p))*p)**(-3\/34))**(-2\/19) assuming p is positive.\nAnswer: p**(-15\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (-4)\/6. Let o be g*20\/4*-1. Suppose 0*k - 150 = -o*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.2 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cupspcsspppcc. What is prob of sequence cscp?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 1. Let w be u(2). Suppose w*g + 58 = -5*k + 283, 4*k - 2*g - 168 = 0. Let j = k + 148. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/8 + 784049583*k\/4 - 204911249534157963\/8 = 0.\nAnswer: 261349861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8*f**2 + 1 + 6*f**2 + 1136*f - 3397*f - 1347*f.\nAnswer: -2*f**2 - 3608*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -153984.979292 and -5.\nAnswer: -153989.979292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*c + 412, 303 = 7*h - 5*h - 3*c. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 5*x - 4. Let g be a(4). Suppose g = 2*j + 2*j - 12. Solve -4*m - 5*n - 7 = -21, -6 = -j*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*sqrt(80)*-3)**2 - ((sqrt(80) - -6*(sqrt(80) + 0)) + sqrt(80) + -1*sqrt(80) + -3)**2.\nAnswer: -216*sqrt(5) + 7607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 62*a + 184. Give h(34).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 3*r. Let g(u) = -u**2 + u - 1. Let n(o) = f(o) + 2*g(o). Let i(q) = 1. What is -5*i(b) - 2*n(b)?\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -817 + 800. Let l(g) = -18*g - 6 - g**2 - 9 + 4. Let o be l(z). Solve 1 - o = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0229794609 rounded to 4 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-1071)*(-42)\/(-24)*(-104)\/13.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:02 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948 divided by -2?\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021433 (base 5) to base 12.\nAnswer: -16b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*c + 1756 = 60, 5*r - 3*c = 4214. Solve r*u = 823*u - 147 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {d: 9, p: 1, e: 2, f: 2}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 642 - -4?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047361802 to four dps.\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209399*b**2 + 188270*b?\nAnswer: 418798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f, -b - 3*f + 4*f + 3 = 0. Suppose 5 = 2*a - b. Solve 3*c + 12 = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*t - 37*t - 137214 = 1536*t - 657*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206979841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 734405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -218426.1 - 1832.\nAnswer: -220258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 84. Determine f(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(199*x - 206*x + 3 + 0).\nAnswer: 7*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/91 (b) -3 (c) 3 (d) 4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2973633, 5947263, 8920893, 11894523, 14868153, 17841783?\nAnswer: 20815413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158c (base 15) in base 7?\nAnswer: 16335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let z be (2 + 1)*v + -3. Suppose s + z = 3. What is the greatest common divisor of s and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-3 - 18 + 12)*(4*f - 5*f + 5*f).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 10*b + 5*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -106. Let t = -30 + q. Suppose 0 = 5*o + 5*i - 95, 5*o = -i - t*i + 99. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -434. Let i = o - 391.000001605. What is i rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/12*(0 + -4). Solve 0 = l - x - x, -4*l + 12 = -t*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320*340.31\nAnswer: 108899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 96853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 698 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Suppose o = 5 - 0. Let q = -4 - -9. Solve q*a + 6 = c*d - 3, o*d = 4*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m + m - 3*m)*(3 - 2*m - 3) - 2*m**2 + 0 + 0 + (-2 - 2*m + 2)*(0*m + m + 0*m))*(-11*m + 26 - 26).\nAnswer: 66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyrryryyyrrr. What is prob of sequence ryr?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 146. What is the nearest to -1 in o, 0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/2))\/t**(-1\/7))**(-23\/5)*t**3*t\/(t*t\/(t\/(t\/t**(-1))))*((t\/(t**1*t))\/t)**(3\/43) assuming t is positive.\nAnswer: t**(-6311\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*l + 243*l - 20*l**4 - l**2 - 2 + 22*l**4 to g + a*l + p*l**3 + j*l**2 + t*l**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 17. Let s be p(6). Let v = -15766\/27 - -584. Which is the biggest value? (a) -2 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107, 55, 3, -49, -101?\n\"Answer: -52*u + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -539*y + 180. Let f be o(-6). Suppose 1326 + f = 6*i. What are the prime factors of i?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -4\/7, 3, -1.\nAnswer: -2.6, -1, -4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -73714.018 rounded to the nearest ten?\nAnswer: -73710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, 1 t, and 1 h when four letters picked without replacement from {j: 3, h: 1, r: 3, b: 1, k: 9, t: 2}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -37639.54928 to the nearest 100.\nAnswer: -37600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 78. Let o be p(0). Suppose l + 2*l = o. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 - -119. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8068 or -6?\nAnswer: 8068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -33.4.\nAnswer: 2.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/5 - 3*g**3\/5 + 2*g**2\/5.\nAnswer: g**2*(g - 2)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-7) + 6\/21. Let k(r) be the second derivative of -r**4\/12 - 2*r**3\/3 - r**2\/2 + 13*r + 8. Calculate k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-20)\/2))\/(116\/145)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-2)\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.45, -4, 92, 0.0539, 2\/23?\nAnswer: 0.0539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 1819.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 3*o - 5. Let u be n(-5). Let d be 6\/(-15) + (-77)\/(-5). Calculate the highest common factor of d and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.609 + -2.409. What is the closest to -2\/7 in -22, g, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - (-10 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9 = 5*v, 4*v - 2*d + 249 = 257 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 + -0.26. Let o = 7.11 - g. Let m = o + -10. What is the third smallest value in m, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69704 + -44811. Does 233 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7722238651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180138 is divided by 1979.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 5.09.\nAnswer: -0.3563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = -4*i + 13, -b = -2. Let u be 1\/(((-9)\/15)\/(-3)). Let r = 2 - 1.8. What is the third biggest value in r, u, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 876, 1317, 1758, 2199, 2640?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-85218)\/(-35))\/(8\/20).\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 1:46 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 112, 225, 390, 619, 924, 1317?\n\"Answer: 2*j**3 + 8*j**2 + 35*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 4:05 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218161297.\nAnswer: 218161297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84761\/24 + 3529. Let j = k - -3\/8. Find the common denominator of j and -38\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g**2 - g**2 + 4*g + 5 + 0. Let q be i(5). Suppose 2*r - 3*j - 19 = q, -3*r + 32 = -j - 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (172\/2236)\/(139\/13). Which is bigger: -40 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89205026759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 + -4) - ((-23 - -28) + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 12:06 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5394 is divided by 1599.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6630 divided by 6.\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.125001 rounded to 2 dps?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38899 divided by 2\nAnswer: -38899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 87430?\nAnswer: 87434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 563*r - 394. Let f(b) = -1115*b + 787. Let k(g) = -6*f(g) - 11*p(g). Differentiate k(a) wrt a.\nAnswer: 497","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924 greater than 1046.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 52 = 3*q. Let o(v) be the third derivative of 11*v**6\/120 + 3*v**5\/20 + 3*v**3\/2 - 3*v**2. Let p(m) = -m**3 - m**2 - 1. Calculate q*p(h) - 2*o(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + -2 + 214071\/9)\/((-6)\/(-9)).\nAnswer: 2, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 4561*k - 11*k**2 + 4561*k.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538 = -122*v + 2390 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0 + (0\/(-1))\/2). Suppose -3*k - 11 = -5*s, -2*s = -4*k + 4 - 14. Let c be k*(-15)\/(-10) - f\/(-1). Is 5\/13 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 18*v - 24*v + 17*v - 8 + 0 as o*v**2 + r + l*v and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 5*l**2 - 5*l - 3. Let p be z(6). Suppose -p = n - 1. Let a = 5 - 1. Put -1, n, a in ascending order.\nAnswer: n, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124930334 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -56, -59, -62, -65, -68?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzmcvaczcacgmmamc. What is prob of sequence mg?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(242) + (sqrt(242) - -2*sqrt(242))) - -4*sqrt(204)\/(2*sqrt(12)).\nAnswer: 89*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*p = 48, k - 33 = -8*p + 4*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2798100 by -2798100.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5789 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -439 divided by 2\nAnswer: -439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85468 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*f + 12 = -2*f, 4*b + 4*f - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(245) - ((-3 + 2*sqrt(245))**2 - sqrt(245))) + (sqrt(245) + (sqrt(245) - (-6*(1 + sqrt(245)) + sqrt(245))) - (sqrt(245) + 0)*6))*-3.\nAnswer: -3612*sqrt(5) + 35532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24169167?\nAnswer: 3, 11, 241, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/186670440 and 197\/9120?\nAnswer: 746681760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(304))**2 + 5 + ((sqrt(1900)*-1 + sqrt(1900))*4)**2)*-4.\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 1435?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 3, -5*k - 76 = -2*q. Calculate the greatest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 - 6. Let j be k(0). Let q(n) be the third derivative of -n**5\/60 - 7*n**4\/24 - n**3\/6 - 39*n**2 - 24. Give q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(32\/(-6)) - 1. Let b = 0.38 - -0.02. Let h = -0.071 - -0.571. What is the nearest to 1 in h, b, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 155 + 4*n**4 - 100*n**3 - 28*n**2 - 49*n**4 - 5*n**5 - 155 - 32*n**2 = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from ehjfhjfjfxxexhxh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 12 = 0. Suppose 3*x + 2*j - 8 = j, -j = x. Suppose u - g = -2*m, -2*u - m - 23 = -x*u. Calculate the lowest common multiple of u and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzgzzzgzgzzzg. What is prob of sequence gz?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-20 - -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.1, 2, -0.11 in ascending order.\nAnswer: -2\/3, -0.11, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 203 = -2*n. Is 34 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 7\/16*i**6 - 38 + 183\/40*i**5 - 15\/2*i - 285\/32*i**4 + 33\/2*i**2 - 41\/8*i**3. Determine p so that d(p) = 0.\nAnswer: -10, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-8*5*3\/390. What is the fourth biggest value in a, -1\/2, -2\/5, 5\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 9 + 27. Solve 2*i = -i - m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q + 2*q + 28*q + (6 - 4 + 0)*(-67 + 67 - 20*q) + (-2*q + q + 0*q)*(0 - 1 + 2).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -84*a**3 - 7*a**2 - 2*a + 8. Let c be p(6). Round c to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -205210.\nAnswer: 61563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**2 - 7*c + 4. Let w be p(7). Let s be 4\/(-10) + w\/15. Let y = s - 12. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1278 and 83\/45156.\nAnswer: 135468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 5321 - 3859 = 0. What is the greatest common divisor of 63 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:53 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*y - 3, -2*y + 3 = d - 3. Let k = -8 + -2. Let o = -10 - k. What is the closest to y in o, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 7374*v**3 - 9*v + 17*v**2 - 49 - 7375*v**3. Let w be z(16). Calculate the greatest common factor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:29 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/3 + 2*t**2 + 2*t. Let s(v) = -2 + 30*v - 68*v + 39*v. Let k(r) = 4*h(r) + 9*s(r). What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*b**4 - 23*b**3 + b**2 + 26*b + 1730754 wrt b.\nAnswer: 200*b**3 - 69*b**2 + 2*b + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/4 of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6306 and 28377.\nAnswer: 56754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 5*f**3 - 13 - 3*f**3 + 3*f**4 - 7*f**4 as k*f**3 + w*f**2 + t*f + j*f**4 + i and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 5*y + 40 - 10, -3*x + 2*y = -21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + 121 + -56 - 32?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from {z: 2, r: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 10, 3, -0.4, -2\/17, -41 in increasing order.\nAnswer: -41, -0.4, -2\/17, 3, 10, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 354693821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468.7 * 0.056348.\nAnswer: 26.4103076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23117 and 19.7563.\nAnswer: -23097.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 (base 4) in base 15?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 4*y**2 - y - 1. Let o be u(4). Let a(m) = -m**2 - 11*m - 7. Let t be a(o). Suppose t + 43 = 3*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-9))\/(4\/24). What is the second derivative of -t*r**2 + 0*r**2 - 6*r**2 - 8*r + 5*r wrt r?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519856*u + 126 = -519862*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 47 = 183. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*b - 5*z, -11 = -2*b - 180*z + 181*z for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 16) to base 14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 + 4*d + 3. Let f be 2\/((-4)\/(-1))*8. Let s(r) = 13*r**2 - 9*r - 7. Let t(j) = f*s(j) + 9*o(j). What is the first derivative of t(c) wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 46*g + 36. Calculate z(-7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12154079 = -262*v - 12150935 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2009655 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 33*g - 7. Let s be f(-6). Let a be 4\/(-22) + (0 - 0)\/s. Let x = 0.6 - 1. Put a, -1\/2, x in decreasing order.\nAnswer: a, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98417 - 191907. Let r = 11218969\/120 + x. Find the common denominator of -19\/8 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let o(p) = -3*p. Let r(j) = 2*i(j) - 3*o(j). Let y be r(-1). Let c(w) = -4*w**3 - 2*w - 1. Let a be c(y). Solve 18 + 7 = a*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9163 and 2176?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11169996303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596.97679 rounded to 0 dps?\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2882.292 + -2950. Let j = y + 68. Round j to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -47. Let p = -775 - -774. Sort 13, j, p in descending order.\nAnswer: 13, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160127364 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 35. Let t = 5.7 + -6. Let w = -29 + 142\/5. Which is the second biggest value? (a) y (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let i(a) = 7*a - 1. Let b be i(d). Is (2\/b)\/((-1)\/(-159)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2740 - 7453. Let b = t + 4639.34. Let z = b - -11.76. Round z to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5947\/171 + (-4)\/(-18). Calculate the highest common factor of x and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 1. Let j be b(-3). Let n(f) = 3*f + 4. Let x be n(j). Let m(s) = -s**3 - 7*s**2 + 5*s - 9. What is the tens digit of m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xxtavxtottx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11245632 (base 7) to base 12.\nAnswer: 3b6a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 3 - 3)*(2*m - m + m)*(1 - 3 + 1)*(180 + 8*m - 180).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175604 - 558963 - 303028 = -7268*o - 11283*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236.8 - 236. What is the closest to -2 in 0.1, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3703 = 6*n + 1081. What is the units digit of (1 - -3)\/(19\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 236.4 + 0.5.\nAnswer: 236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -0.04, 0.5, -4 in descending order.\nAnswer: 4, 3, 0.5, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -8)*(-1 + 2) + 27. Suppose -3*r + l = 24. Suppose 0 = r*o - 3*y - 80, -5*y - 136 - 59 = -5*o. Calculate the remainder when 144 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/297 and 1\/998217.\nAnswer: 998217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {r: 12, l: 3}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5 + -17 - 3) + -335 + 342 + -28?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2593 and 147800\/57 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/7 + 1672*f\/7 - 1670\/7 = 0?\nAnswer: 1, 835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2586 - 2584. Solve q + r*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1426676 to 3 decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 8. Let o(j) = -j - 4. Calculate 5*o(t) + 2*r(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145149*h**3*l**3 - 6*h**3*l - 409*h*l + l**2 + l wrt l.\nAnswer: 870894*h**3*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 9*r**2 - 7*r + 20. Let p be 12\/(-8) - (-2 + 84\/8). Let k be b(p). Is k at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 + v - 3. Let t be y(-4). Suppose -t = -5*i + 11. Suppose 0*h + 4*h = i. Solve 5*w + h + 19 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 y when four letters picked without replacement from {d: 4, w: 1, y: 1, a: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1054 + 5)*5\/(10\/(-2)).\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-7) - 4)\/(0 + -2). What is f in 4*f**3 + 0*f**5 - 5*f**5 + 8*f**3 + 3*f**d - 10*f**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -2*d + 61. Let j(i) = 117*i**3 + 3*i**2 - 12*i + 17. Is 12 a factor of j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34713389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 682 + -646. Let i(r) = -8*r**3 + r**2 - 2*r - 1. What is the remainder when i(-2) is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3883493, 7766923, 11650291, 15533597, 19416841, 23300023, 27183143?\nAnswer: 31066201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*a = -27264 + 24889 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 57. Suppose -1 = -3*m + 5. Solve -2*q + 15 - 3 = -2*u, m*u + 4 = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2986599, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 236, 268, 300, 332, 364?\n\"Answer: 32*m + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7402.\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*z + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((0 - -3) + 0 - 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p - 44926 - 44916 + 89842.\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3353*p + 46946. Determine l(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -28. Which is the third smallest value? (a) -2\/9 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 445 - -82. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 810, -1\/2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*f + 20435, -8174 = -6*f + 4*f - 4*i. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 21 = -3*g + 54, 3*n = 6. Suppose g*l - 86 = 58. Let i(a) = 5*a + 15. List the prime factors of i(l).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 497 = -5*u, 4*u - 180 = -2*w + 832. Suppose -4*m + w = -3*r, -4*r + 2*m = -r + 502. Let h = 275 - r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2da - 8d6?\nAnswer: -5fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2091357646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2830 divided by -10.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*t. Put -1, t, -2 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*n**2 - 896 - n + n + 896 + 2*n to j + h*n**2 + k*n and give h.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 8*a + 7544. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 7.2, 0.5 in decreasing order.\nAnswer: 56, 7.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -934*o + 59. List the prime factors of n(-1).\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:10 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -2*j**7\/105 + 2*j**5\/15 + j**2. What is the third derivative of d(o) wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 14. Let w = 21.52 + -0.02. Let o = g - w. Which is the second smallest value? (a) o (b) 2\/9 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 539, -2\/3, -1947, -0.1 in increasing order.\nAnswer: -1947, -2\/3, -0.1, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**4 - m**2 - 4*m + 1. Let q(k) = 10*k**4 - 44*k**3 + 56*k**2 + 288*k + 8. Let h(z) = 8*j(z) - q(z). Factor h(o).\nAnswer: -2*o*(o - 20)*(o - 4)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/10 + (-117)\/390 - 8. Let l = 0.1 - -0.1. Are l and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3372\/5 + 674. Suppose 3*k = t + 1, k - 2 = -4*t - 6. Is q less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/15)\/((-66)\/(-165))*348. Which is the second smallest value? (a) -1 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2 - -2)*-62. Let d = 134 + q. Let c = -49 - -58. What is the greatest common divisor of d and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2936*a + 5868. Calculate p(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 33229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 11\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 16) to base 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 107.48. Let h = t + -0.48. Which is the closest to 0.1? (a) h (b) -0.2 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -38*y**2 + 1. Let z(h) = -76*h**2 + 2. Let r(a) = -7*n(a) + 4*z(a). Differentiate r(v) with respect to v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535 - 547 = 71*d + 769 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001305735254 to 7 decimal places.\nAnswer: 0.0013057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -9 + 16. Let x = 48 + a. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5874.\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/259 and 157\/221718.\nAnswer: 8203566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 5724393?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141778?\nAnswer: 2, 7, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpdc when four letters picked without replacement from {p: 1, u: 1, j: 1, c: 1, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66520151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963474 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f**3 - 5102319*f**2\/5 - 1785819*f\/5 = 0. What is f?\nAnswer: -7\/20, 0, 85039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -262318.7 plus 0.12?\nAnswer: -262318.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -20199.\nAnswer: -5\/20199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7273\/6 + 1237. What is the common denominator of (-29 + -2)*6\/(-32) and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -35213*f - 2*f**2 + 35213*f. Let t(h) be the third derivative of -17*h**5\/30 + 2*h**2. What is t(x(g))?\nAnswer: -136*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 482*q**2 + 8*q - 7. What is the hundreds digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -428, 29050, -3 in decreasing order.\nAnswer: 29050, -3, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 9*h - 16. Let m be k(-11). Suppose -m = -t - 3. Let c = 4 + t. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*j + 34 - 37 + 178*j.\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736497173 and 4153?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 10*m + 15. Let r be (2\/(-3))\/((-8)\/(-132)). Let v be a(r). Let -6*y**3 + 3*y**v + 0*y**3 + y**3 + 2*y**3 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 3:42 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -29\/3. Let a(f) be the second derivative of 0*f**2 + 2*f + 0*f**5 + 0*f**4 + 0 - s*f**3 - 1\/30*f**6. Find the second derivative of a(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 take away -7739379?\nAnswer: 7739334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6))\/((-3)\/171). Let v be f\/6 - 7\/21. Let l = 128 - -97. What is the greatest common factor of v and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 56 = 3*h + s, -21 = -3*h + 3*s. Let a be h\/(-8) + 6\/4. Suppose a = -0*n - 4*n + 76. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7454857 is divided by 49699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11229391?\nAnswer: 379, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(160)\/(sqrt(16)\/sqrt(2)) - sqrt(20)))*-3)\/((1*sqrt(120))\/sqrt(12)*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-3942))\/((-6)\/(-3))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 19 in ascending order.\nAnswer: -3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 76\/(-10) + 2\/(-5). Find the common denominator of -39\/7 and a\/(-20) - (-47)\/(-30).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 827.\nAnswer: 5\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:24 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/13)*n)\/(n*n*n**(-8)\/n*n))**(-12\/13)*(n*n**(-2\/9)*n)**(6\/5)*(n*n**(4\/9)\/n)\/(n*n*n**(-1\/12)) assuming n is positive.\nAnswer: n**(-180769\/30420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 75 = 6*l, 97*l - 45 = 6*r - 9*r + 102*l for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057173 rounded to 7 dps?\nAnswer: -0.0000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 202952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/4 - (-2)\/8. Suppose 5*c - 31 = -u, 0 = b*c + 5*u - 1 - 22. Let z = -8750 + 8746. Put c, 1, z in descending order.\nAnswer: c, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2279.05 to the nearest integer.\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.3 + 26.6. Suppose 6 = 2*o, -3*o - 2*o + 18 = -x. What is the third biggest value in c, -12, x?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6590233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2 + 3 - 3 + 7*d**3 - 2*d**2 wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -a - 1, 12*u + 10*u - 36 = 18*u + a for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/20 - 7*o**4\/12 + o**3\/3 - o**2 + o. Let k be f(7). Let j be (4\/3)\/(4\/k). Solve -x + 3 = 5*l, -j*l - 3 = -x - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1011 - 130?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -46218715 and 0.452274.\nAnswer: -46218714.547726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 10818 + 1620 = 0. What are the prime factors of j?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**6\/36 + g**5\/120 - 2*g**3 - 10*g. Let h(z) be the second derivative of m(z). Determine h(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x + 2*o, -3*o = -4*o + 1. What is the third derivative of -9*a**2 - 43*a**3 + 3*a**x + 78*a**3 - 35*a**3 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 6\/11, -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 51. Let s = a - 14. Suppose -24 = -5*u - 9, -g + 436 = s*u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 4*o = 9 + g. Let x(r) be the first derivative of 2*r**3\/3 - 3*r**2\/2 - 3*r + 12. Determine x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16401538217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 >= 0.171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Let a(v) = 3*v + 4*v**l - 3*v**2 + v**2 - 2 + 1. Determine a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 16*b + 112. Let n be ((-4)\/10)\/(b\/70). Which is greater: n or -14\/13?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87134 is divided by 1814?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 4 - 1766*u - 3*u**2 - 3 + 1619*u.\nAnswer: -7*u**2 - 147*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**4 - 80*k**3 + 641 wrt k.\nAnswer: 8*k**3 - 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*m**2*r + 2*h*m*r**3*u + 8*h*m*r**2*u**3 + h*r**3*u**3 + 7*h*u**2 + 22*m**2*r**3 + 5500*m**2*u**3 + 18*r**3 wrt m.\nAnswer: -2*h*r + 44*r**3 + 11000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 39 - 43 = 4*l, 15 = -l - 3*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 11, 28, 51, 80, 115?\n\"Answer: 3*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 2 r when four letters picked without replacement from {e: 1, r: 2, h: 1, d: 2, g: 1, u: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 - 4*d. Suppose -6 = 4*m + 6. Let w(o) be the first derivative of 0*o**3 - 11\/2*o**2 + 0*o + 7\/2*o**4 + 13. What is m*w(g) + 8*f(g)?\nAnswer: -2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -847 - -843.39. Let r = k - -0.61. Put -0.2, -0.3, r in descending order.\nAnswer: -0.2, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49880012, -3, 6 in ascending order.\nAnswer: -49880012, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2890 + -2887. Let b(a) = 25*a - 6. Let y be b(4). Suppose -z*m = -y - 2411. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*n - 15571 = -15587, -n + 35 = -8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q**5 + 7620*q**4 + 22832*q**3 - 6024*q**2 - 22888*q - 1596 = 0 for q.\nAnswer: -133, -3, -1, -1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 - n + 1. Let z = 14 - 23. Let h = z + 6. Let i(d) = -2*d**3 - 4*d**2 - 3*d + 2. Determine h*x(f) + i(f).\nAnswer: f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10343*k - 91316. Calculate t(-9).\nAnswer: 1771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + 6 - (21 + -20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35033 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 - (17 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (2 - 1 - 1). Let k = -1.12 + 1.42. Which is the nearest to y? (a) 0.5 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let h(b) = 223947*b**2. Determine j(h(y)).\nAnswer: 100304517618*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 259*i + 6 - 91*i - 85*i - 83*i.\nAnswer: -4*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.06. Let w = -27.3 - -27. Let r = -0.06 + 1.06. What is the nearest to i in 0.2, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -358*s**3 + 2 - 36*s**4 + 357*s**3 - 3*s**2 + 3*s**2 as c*s**3 + j*s + t*s**4 + h + m*s**2 and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 8*v + 3. Let k(l) = l**2 - 9*l + 2. Let q = 17122 - 17118. Give q*f(n) - 6*k(n).\nAnswer: 2*n**2 + 22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 675, 5, 0.\nAnswer: -1, 0, 5, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1279709 - 3886291. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29714 and 4654.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44467 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.94 and -102.\nAnswer: -122.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -58 (b) -1.6 (c) -1\/7 (d) 6 (e) -7 (f) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751441919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 368752 and 4?\nAnswer: 1475008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1562*x**3 - 3*x**2 - 3*x + 4. What is the hundreds digit of n(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 952\/9 + -19337\/180. Let x = 619205206883\/172243664 - 2\/10765229. Let j = x - 3593. Calculate the common denominator of t and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3\/7 - 95559*f**2\/7 + 802008048*f\/7 - 644678790444\/7 = 0. What is f?\nAnswer: 897, 15478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(63))\/sqrt(9)*-2.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmlm when four letters picked without replacement from {e: 5, l: 1, m: 7}?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 12:00 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1727 + -1726.8. Which is the third smallest value? (a) -2\/9 (b) -3 (c) w (d) -17.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-six thirds of a week?\nAnswer: 4816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2687, 5244, 7671, 9968, 12135, 14172?\n\"Answer: -65*o**2 + 2752*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-nine halves of a kilometer?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 0.1 (c) 2\/9 (d) 2\/5 (e) 6.2 (f) -73557\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p - 10604 = 3121. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63526? (a) 3 (b) 0.2 (c) -0.2 (d) -0.14 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**0)**(2\/93)\/(f**8*f**(-2\/5)*f))**(-9))**(-5\/3) assuming f is positive.\nAnswer: f**(-3989\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + (-1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 174904238*l**2\/5 + 3823936996055638*l\/5 + 3823936121534498.\nAnswer: 2*(l + 5)*(l + 43726057)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(80)\/sqrt(4).\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.159505 to three decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 118532, 118522, 118506, 118484?\n\"Answer: -3*m**2 - m + 118536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 12 + 65 = 15*a. Solve 0 = -a*r + 33 - 9 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 22 - 56)*(-1 + 3 + 0)*(0 - 1 - 2*v + 0).\nAnswer: 464*v + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59817602 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 710350183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -937 + 942. Which is the smallest value? (a) d (b) -1635 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5 - 9. Suppose 4*s - 93 = -2*v + 7*s, -r*v = -3*s - 195. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/(2\/(-18)). Let f(z) = -45*z + 7. Is f(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -6 + 0*d + 5\/3*d**3 + 0*d**2 + 3\/4*d**4. Find the third derivative of z(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4134980 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (23 - ((20 - 27) + 30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -481763, -963680, -1445597, -1927514, -2409431, -2891348?\n\"Answer: -481917*x + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/210*-7*2*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 331210 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, -0.329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y - 245*y - 20*y**2 - 5*y + 209*y + 23*y.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*o + 420, 0 = -3*f - 0*o + 2*o + 415. Let l = f - 129. Solve l = -z - 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -6.1. Let j = -4.7 + k. Let m = 23\/70 - -1\/14. Does j = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.027 - 0.027. What is the biggest value in 0.5, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12839\/30 - -428. Let h(d) be the third derivative of -5\/84*d**4 + 0 - 1\/21*d**3 - j*d**5 - d**2 - 1\/140*d**6 + 0*d. Find w, given that h(w) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = -6*j. Suppose -5*f = -y + 54 - 307, 5*f - 259 = j*y. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -32000*c. Let p be (-3)\/((-3)\/(-2)) - -10. Suppose p = -4*s - 12. Let x be j(s). Round x to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 11 - (-2 - 0) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74 from 0.4.\nAnswer: -73.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6104172 by -43292.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 3*c)*(-3 - 2 + 6) + 61*c + 249*c + 58*c + 61*c to q*c + x and give q.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118090 by -1205.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16772 and 0.102?\nAnswer: 1710.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/15 and 1*(-1246)\/72*24\/84.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7576 + -0.5576. Which is the biggest value? (a) -5 (b) f (c) -38 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-6)\/12). What is the greatest common divisor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 777221 by -6.\nAnswer: -777221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36019 is divided by 1941?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.06.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/9 and 52\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931342321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -125, -189, -253, -317, -381?\n\"Answer: -64*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*j - 3661 - 21773 = -1480*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + 57\/(-132). Let b = -122520.8 + 122521. Sort b, -0.2, s in ascending order.\nAnswer: -0.2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 7*g + 22*m = 76, -3*m + 9 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3120 and 330.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 693 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 22*h - 999. Let w(l) = 3*l**2. Determine w(y(s)).\nAnswer: 1452*s**2 - 131868*s + 2994003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2651623 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178335358 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-868)\/(-18) + (-6)\/27 + 0. Let v = 80 - o. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*1*(-4)\/3. Let y = g + 52. Suppose 0 = 3*j - 9, -35 = -5*n - 4*j + y. Calculate the least common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0155, 1\/10, -266?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 11*m**2 - 11*m + 12. Let z be q(10). Let c(h) = h**2 - h + 11. Let r be c(0). Solve 3*b + r = -2*x + 4*b, 9 = z*x + 3*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 263*y - 1311. Let z be x(5). Let a(d) = 6*d + 42. Let c(r) = 5*r + 42. Calculate z*c(k) - 3*a(k).\nAnswer: 2*k + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/7 - d**2 - 6*d\/7.\nAnswer: d*(d - 3)*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3264.8 * 2\nAnswer: -6529.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 2, c: 1, z: 1, r: 5, m: 5}. What is prob of picking 1 l and 2 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/((-64)\/((-2752)\/129))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17*y**2 + 3*y + 31. Let b(s) = -7*s**2 - 2*s - 15. Let j(h) = -9*b(h) - 4*o(h). Let d(v) = v**2 - v - 1. Calculate -6*d(q) - j(q).\nAnswer: -q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 108 - 101 = 401*o - 318 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 14*u**2 + u - 6. Let r be s(-15). Suppose 5*h - 186 = r. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17178 + -5?\nAnswer: -17183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19775785 and 0.011.\nAnswer: -217533.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-5 + 0) - 2. Suppose -5*p = 5*r + 25, -2*r + 4*p = r + 15. Let x = r - b. Solve 0 = -2*s + 5*o - 17, 0*s - 2*s + x*o - 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753619333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*r = -11, 3*o - 5*r + 3 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -329155.262 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n + 78. Let q be o(-3). Let t be q\/4*(-7 + 9). What is the highest common divisor of 12 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1407*m**2 + 1876*m + 8442. Let k(n) = -2*n - 9. Give -2814*k(p) - 3*u(p).\nAnswer: 4221*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*m + 155 - 151, 3*m + j - 46 = 0. Suppose -4*s + 5*s - 38 = 2*p, 5*s = -2*p + 238. Calculate the remainder when s is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 r, and 1 p when four letters picked without replacement from rxrprprxxprxprp.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 - c - 26. Let p be l(0). Let t be 1500*(-13)\/(p\/840). What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109 * -259.3.\nAnswer: 28263.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a97422 (base 12) in base 9?\nAnswer: 30470668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 1 + 5 - z**3 - 1 + 4*z**2 - 2*z. Give a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 16555*c - 1514788. What is g(-91)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Find the second derivative of -s**n + 6*s**2 + 0*s + s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1949294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 0 + 0)*(4*t**3 - 4*t**2 + 4*t**2) + 84*t**3 - 8*t**4 - 44*t**3 - 49*t**3 to the form j*t**2 + y*t**3 + s*t + w + m*t**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10005202 or 10005205?\nAnswer: 10005205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 12 - (4 - (9 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6066 and 6692.\nAnswer: 40593672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 2. Let t(f) = 44*f + 39. Let z = 154 + -151. Let p(r) = z*v(r) + t(r). Differentiate p(h) wrt h.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2381454 (base 9) to base 5\nAnswer: 312343434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:07 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 125 + -216 + 6.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.29 less than -18?\nAnswer: -922.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 277.\nAnswer: 49\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpezepeez. What is prob of picking 2 p and 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Let d be y + -6 + 2*2. Suppose -d*l - 14 = 2*v - 7*v, -l + 14 = 3*v. Solve -v*r = -5*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8)\/(72\/(-32)). Let i = 5 - 1. Sort 0.1, i, q.\nAnswer: 0.1, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36985, 73970, 110955, 147940, 184925?\n\"Answer: 36985*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/12670 and -51\/25?\nAnswer: 63350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*f + 30*f - 77. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/4 - p**3\/3 + 2*p + 1. Let u = -27033 - -27033. Determine r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169.717*0.7525.\nAnswer: -127.7120425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932*m + 5659 - 1931 = 0. Find k such that -m + 5\/3*k + 1\/6*k**2 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/4*(-3)\/(-36)*-18.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l**3 + 1374*l**2 - 38313*l + 6. Let m(t) = 36*t**3 - 4119*t**2 + 114938*t - 17. Let n(o) = -17*i(o) - 6*m(o). Determine b so that n(b) = 0.\nAnswer: 0, 113\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-10)\/(-9)*9\/(-2). Let i be (2 + 0)*(p\/(-10) - 7). Let v be (2 + -3 + -2)*(i - -3). What is the highest common factor of 216 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 14*k**2 + k. Let r(y) = -y**3 - y**2 + y. What is -r(x) - t(x)?\nAnswer: -x**3 - 13*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324125 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136839509 to the nearest integer?\nAnswer: 11698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -485 + 737. Let r = p - 462. Let o = 883 + r. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -7)\/(1\/388) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 4*g - g)*(-g**2 + g**2 - 3*g**2) - 6*g**3 + 0*g**3 + 8*g**3 as y*g**3 + f + j*g**2 + u*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*5\/10 + 239. Calculate the greatest common divisor of 34 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 527 - 529. What are the prime factors of (-4770)\/(-9) - (x - 4)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - y + 127, 3*a = -0*a - 3*y + 69. Suppose 0 = -5*v - a - 24. Is ((-1012)\/55)\/(4\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 918 divide 934909548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*l + 5*l. Suppose 4*f - 13 = 5*t, -t = -l*f - 0 - 1. What is the smallest common multiple of 9 and (f\/6)\/(-3 + (-1023)\/(-342))?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*b + 19853, 4276 = 3*r + 4*b - 7591. Calculate the greatest common factor of r and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w + 2. Let f be y(4). Calculate the remainder when (3 - 2)\/((-2)\/f) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 26. Let h be n\/(-33) + 14800\/6. Let x = h - 44411\/18. Calculate the common denominator of -31\/10 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 23 - 21 = 0. Let f(r) = 4*r - 5. Let t be f(4). What is the derivative of u*l + 4 + 4*l**3 - t*l wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 + 18 + 5*t**2 - 18.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27\/37 - 1243\/629. Let y = q + 857\/323. What is the closest to -0.1 in 0.5, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/(16\/160).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2047 and 321.\nAnswer: 657087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*24)\/(-4) + (-260)\/(-39). Factor 0 - 5\/3*t**2 - v*t.\nAnswer: -t*(5*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) + (-9)\/((-180)\/5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 44. Let l(o) = 4 - 7*o + 0 - r. Let g(t) = -5*t + 15*t - 9 - 3*t + 9. Calculate g(l(n)).\nAnswer: -49*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(2 - (-482375)\/102) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111614019 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.7964ml to litres.\nAnswer: 0.5887964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 5:31 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*q. Let r(z) = 15*z + 15 + 30*z - 6*z - 13*z + 4*z. Does 9 divide r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 4*j**2 + 6*j. Let a be l(4). Suppose 0 = r + 2 - 7. Let o be ((-4)\/(-7))\/((-14)\/(-49)). Solve 2*q + q - 19 = r*c, -4*c - o*q = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (281\/(-137) - -2)*77\/((-30184)\/112)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2, 4, 3, 46 in ascending order.\nAnswer: -3, 0, 2, 3, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 70683?\nAnswer: 5\/70683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 21. Let d be (-12)\/b*(1 - -4). Solve d + 3 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*c = -3*f + 3, 2*c - 12 = -5*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71466 divided by -86?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/3*r**3 + 1300\/3*r + 305\/3*r**2.\nAnswer: -5*r*(r - 65)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b + 41. Let p be s(-5). Let c be p*(8 + -7) + 8. Suppose -7 = -2*w + 51. Solve 4*i - 6 = -3*x - w, -c*i - 13 = x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385661 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22370897867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1568722657, 1568722659, 1568722661, 1568722663, 1568722665, 1568722667?\nAnswer: 1568722669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 0 (c) -4\/7 (d) -8.7 (e) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -142. Let c be (-14)\/v - (-88)\/9. What is the greatest common divisor of 100 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -93010242\nAnswer: 5\/46505121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 8 + 12. Is 3\/((-66)\/d) + (-8807497)\/(-451) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 841\/1479517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:48 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/59 (b) 0.1 (c) 0.2 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 238\/(-22) + (-142 - -153). Let x = 7 + -6.9. Put 1, -4, a, x in increasing order.\nAnswer: -4, x, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**5 - 172*g**4 + 280*g**3 + 80*g**2 - 272*g + 92 = 0.\nAnswer: -23, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = -25*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 14163416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is caf - 2a2b1?\nAnswer: -29602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 12*a**2 + 25*a - 2. Let t be r(10). Let h(c) = c**3 - 2*c**2 + 7. Let b be h(0). Suppose 196 = b*x - t. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/4 (b) 5 (c) 257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17986817 or 17986818?\nAnswer: 17986818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(190)*-3*2)\/sqrt(10))**2.\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvt. Give prob of sequence vd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (219\/(-4)*2)\/(9\/12). Let b = -144 - u. Solve b = 2*o - 4*g, -1 = -4*o + 5*g - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzjzjjzzjjjjjjjjjjj. Give prob of sequence jjz.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ecb + 4?\nAnswer: -4ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*4\/(-42)*3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -619?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11967713 is divided by 2463.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -3. Suppose t*u = -n - 10, 3*u - n + 14 = -u. Let j(b) = -b - 2. What is j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75044 + 75044.000043837. Round v to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4\/13 + 2870*i**3\/13 - 24166*i**2\/13 + 42540*i\/13 = 0.\nAnswer: 0, 5\/2, 6, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4a06ea?\nAnswer: 4a06eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 7\/23 (c) 0.2 (d) 0.408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3261066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/4 + 5*z - 11 = 0. What is z?\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*a - 2*d - 4, 5*a - 25 = 5*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -6. Let i be 4\/3*m\/1. Which is the smallest value? (a) i (b) 0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 - 12*z - 3. Let r(o) = -6*o**3 + 18*o + 4. Let h(v) = -8*k(v) - 5*r(v). Factor h(g).\nAnswer: -2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361*a**2 - 157608 + 157608)*(0*a**2 - a**2 + 4*a**2).\nAnswer: -1083*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/8090 and -81\/24860?\nAnswer: 20111740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*c + 5*t - 2, 5*c - 4 = 4*t. Let l = 16 + c. Suppose -19 + l = -y. Solve 16 = o + y*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-5 + 66\/12)*8\/4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -0.5, -4395953?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -82, 1\/4 in decreasing order.\nAnswer: 1\/4, -3\/5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-28))\/((-2)\/(-48)))\/(32313\/75397).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 2. Let w be m(0). Let d(f) = f**3 - 5*f**2 + 4*f - 2. Let n be d(w). Let k = -1 - n. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 5293086?\nAnswer: -1\/155679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6568*c + 7101*c - 5 + 56920*c.\nAnswer: 70589*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/6*(-184)\/6. What is the smallest common multiple of i\/8 + (-2)\/(-8) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -25. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-424)\/100)\/(4\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23712312 is divided by 23712300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51274.\nAnswer: 2, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2. Suppose 212*t - 227*t = 135. Let g = -3 + 1. Let f(s) = 3*s**3 + 5*s**2 + s. Calculate g*f(n) + t*p(n).\nAnswer: 3*n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 o when four letters picked without replacement from {o: 8, k: 3, d: 4, j: 2}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2. Let x(d) = -2*d**3 - 7*d**2 + d - 12. Let l be x(-4). Let k(i) be the first derivative of l*i + 0*i**2 - 5 - 2\/3*i**3. Calculate h(k(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66846 + -37350. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*f = f - 26, 2*f + 38 = 2*u. Suppose 18*v - u*v = 12. Calculate the greatest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -4 (b) 52 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/((-2961)\/22372)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**3 - 4*h**3 + 2*h**3 + 16*h**3 + 25*h**3.\nAnswer: 58*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185*s**4 + 6*s - 6*s + 154*s**4 - 373*s**2 - 46*s**4 wrt s.\nAnswer: 7032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfffmbbbbmfmmmbmfmb. Give prob of sequence bb.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 665.446 + 1.554. Let h = -666.999423 + n. What is h rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1320107229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44250 is divided by 14622.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426241009, -426241011, -426241013, -426241015, -426241017, -426241019?\nAnswer: -426241021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) 1 (c) -1043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -951 - -1?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 27 + 5*b - 3*b + 22 - 49.\nAnswer: 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(275\/20 + -14). Let y(q) be the second derivative of -1\/2*q**2 - 1\/6*q**3 + g - 12*q. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00243 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-10)*15400\/(-112). Is (-9370)\/(-8) - (-11)\/z*-10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.05 and -511920.\nAnswer: -3609036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -1.09.\nAnswer: -14.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-12) + 3)\/(2\/(-12)). Does 15 divide (-120)\/(-14)*((-12)\/4 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478 and 4302?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618332907 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16115526.597 from 99.\nAnswer: -16115427.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/20 + 7*c**3\/6 + 19*c**2. Differentiate r(h) with respect to h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143292111 and 6702?\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5066733, -5066790, -5066829, -5066844, -5066829, -5066778?\nAnswer: -5066685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*i + 184*i - 69*i)*(1 + 1 - 1)*(-2 + 7 - 2).\nAnswer: 138*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8002.7 - 8390. Let y = j + 271. Let x = y - -122. What is x rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/49 - (-1 - (-92)\/14). Let l = 5 - 10. Is s greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**3\/3 - 3*g**2\/2 - 2*g + 1. Let b(h) = -4*h**2 + 10*h + 7. Suppose 3*y - 17 = -11. What is y*b(a) + 7*q(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -30, 25, 80?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -45, -5, -39, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 + 296. Suppose n - 2*q + 68 = q, 0 = -2*n - 4*q - 116. Let r = g + n. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 61*v + 1834. Let d be n(-30). What is the nearest to 15 in d, 2\/21, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25170960 is divided by 369.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let y = 0.341 - -3.359. Let h = y + -6.7. What is the smallest value in f, 1\/8, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Suppose -5*s + 5 = m - 4*m, -5*m = -3*s + 3. Suppose m = 4*f + f - 60. Let w(y) = -y - y - 12 + f*y. What is 12*i(o) + w(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b - 5*b - 24*b + 18 + 9*b. Let j(w) = 7*w - 10. Let l(d) = 6*c(d) + 11*j(d). Suppose 2*z - 2*f = -8, -3*f + f = 3*z + 22. What is l(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11033936 is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/((-70)\/(-105)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1782 and 1458.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46.6401 - 0.0401. What is y rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88511 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 17*k - 5*g - 11632 = 0, 4*g = -5*k + 19325. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.761 minus 951?\nAnswer: -962.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**4 + 4812*o**3 - 75728*o**2 + 94544*o - 30800 = 0. Calculate o.\nAnswer: -550, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:15 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*f - 178*f + 619*f + 804*f + 246*f as b*f + v and give b.\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 3, 23, -4, -5, 842 in descending order.\nAnswer: 842, 23, 3, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 0 + 1\/3*a**5 - 11\/3*a**4 + 19\/3*a**3 - 3*a**2 + 0*a = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -16.48. Let q = y - 0.4. Let h = -1299 + 1299. Which is the closest to h? (a) 0.4 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*p - 75 - 102*p - 123*p**2 - 36*p**2.\nAnswer: -159*p**2 - p - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/2085? (a) -3\/4 (b) 0.4 (c) 1.6 (d) -5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 14633. Let j(l) = 85*l**2. Give i(j(d)).\nAnswer: 85*d**2 + 14633","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7746*4\nAnswer: -30984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.26795 + 98618.\nAnswer: 98630.26795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552 by 2.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 2 - 2 + c - 4 + 4 + (c + c - c)*(-5 + 1 + 2) - 25*c - 25*c + 8*c.\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/1080*3*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5843460 divided by -12?\nAnswer: -486955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*k + 101*k - 385*k + 85*k + 101*k + 1368*k**3.\nAnswer: 1368*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 31. What is the nearest to -0.2 in -0.3, s, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 8*c**2 - 7*c + 19. Let g be s(8). Let t be (12\/(-18))\/(-1 + g\/(-39)). What is the third derivative of 13*b**6 - 59 - t*b**2 + 118 - 59 wrt b?\nAnswer: 1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/5 + 18*q**3\/5 - 6*q**2 + 14*q\/5.\nAnswer: -2*q*(q - 7)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -419, -1111, -2379, -4415?\nAnswer: -7411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316698302.\nAnswer: 2, 967, 163753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101212121000100 (base 3) to base 14\nAnswer: aa5d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 - -252. Let y(m) = -m + 6. Let k(d) = -10*d + 65. Let s be 4\/1 + 2\/4*-20. Give s*k(i) + t*y(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 4, k: 6, i: 4, b: 3}. What is prob of sequence ki?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 22*i**2 + 51*i + 18. Calculate a(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1174*y**4 + 59*y**5 + 18*y**5 - 1173*y**4 - 592*y**3 - 28*y**5 + 592*y**3 + (2*y + 0*y + 0*y)*(-2*y + 2*y + 2*y**4) - 1 + 1 + y**5 - y**5 + y**3 - y**3.\nAnswer: 53*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -11, 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2*(1 + 0). Let m(g) = g + 3. Let k be m(x). Let i(n) = -3*n**3 + n**2 - n - 1. Let c be i(-1). Sort c, 2, k in descending order.\nAnswer: c, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232531 - -4?\nAnswer: 232535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 g, and 1 e when four letters picked without replacement from ieigeiggeieii.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g - 93. Let l be v(-13). Let m = l - 131. Let y(r) = -r**3 - 4*r**2 - 4*r + 1. Give y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(385))\/(-4*sqrt(44)\/sqrt(4)))\/((sqrt(180) + sqrt(180)*-1 + sqrt(180))*-5*-3).\nAnswer: sqrt(7)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 2. Let j(m) = m**3 - 16*m**2 + 16*m - 15. Let c be j(15). Suppose 0*a + 1 = 2*a - 5*s, -2*a + 3*s + 3 = c. Let x be 7 + 0 - 1 - a. What is d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*u - 575*u + 192*u + 190*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25000639?\nAnswer: 29, 877, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {l: 2, b: 6, o: 4, e: 2, i: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = o + 44. Let d = o + 38. Solve z - 3*z + 2 = d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 167, 299?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/3 - 91*r**3\/2 - 1849*r**2\/2 - 712*r. Differentiate z(u) with respect to u.\nAnswer: -8*u - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48327135 by 3221809.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 - 13094366*c**2 + 52377477*c - 39283110 = 0 for c.\nAnswer: -13094370, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowowow. Give prob of picking 1 w and 2 o.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 68418, 2, 4, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -91121736?\nAnswer: -9112173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-18 - (17 - 35)) + 40 + 3\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:34 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 19956 = -b + 5*b, 0 = -u - 2*b + 9970. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1282, 1285, 1302, 1339, 1402, 1497?\n\"Answer: u**3 + u**2 - 7*u + 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 296698 = 296719 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11\/2, 1\/4, -320, -1\/24, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or -246?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by (-1638)\/(-70) - 2\/5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2102193 and 3165?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/36)\/((-4)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*o**3 - 4*b**2*o**2 + 19*b**2*o - 5*o wrt o?\nAnswer: -24*b**2*o - 8*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1025\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32622248 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y**3 - 3 - 2*y**2 + 1 - y + 3*y**3 - 2*y**3. Calculate the least common multiple of v(3) and (8\/5)\/(48\/15 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 12*h + 575. Let r = h - 115. Solve -3*p - 1 + 13 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/(-14))\/((-28)\/(-98)). Suppose 2*u + 18 = 3*z, -2*z + v*u = 6*u - 19. What is the lowest common multiple of 1 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 6. Let a be l(-4). Suppose 5*o - 16 = -a. Let h be o + (-4 - 1*-2). Solve h = 6*d - d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(22\/6) - (-103776)\/8096.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:36 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 32 + 18 - 3*k + 3*k**2.\nAnswer: 3*k**2 - 3*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2610 and 518230?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*(-16)\/(-6). Suppose m*u - 16 = 5*w - 1, 0 = -5*u - 3*w - 9. Let a(y) = -y + 4. Give a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(-1*sqrt(12)) - (sqrt(66)\/(sqrt(24)\/sqrt(4)) - sqrt(11))) + -4)**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/40 + (-41919)\/(-26690)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 - -148. Find the third derivative of -139*h + 67*h**x + 32*h**4 + 139*h - h**3 wrt h.\nAnswer: 768*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/297 and -19\/216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + -10*8\/(-16). Solve s - u = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0)*2\/2. Suppose -2*x + k = 6*a - 3*a, -4*a + 2*x + 18 = 0. Find the second derivative of 2*f**5 - 4*f**3 + 4*f**a + 2*f wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 4 - (1 - -1). Let f(z) = -s*z + 4*z + 0*z. Let b(j) = 77*j + 21. Let i(y) = 18*y + 5. Let w(l) = 5*b(l) - 21*i(l). Determine w(f(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.038 - 2.038. Which is the second smallest value? (a) -8 (b) p (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70104 - 69952 = 8*s. Solve -5*x + 6*r - 3*r - 25 = 0, -5*r + s = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3662236.1 rounded to the nearest 1000?\nAnswer: -3662000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 9)*((4 + 3 - 3)*(0 + 3 - 2) + 4 - 1 + 0)*(-4*x**4 - x**4 + 4*x**4)*(-2 + 5 - 2).\nAnswer: 98*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6011 - 2848. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.24. Let o be ((-462)\/(-99))\/((-2)\/3) - (-2 - 4). What is the third biggest value in -2, o, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o - 5*l - 173, -5*l + 107 = 2*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + w**3 + 3 + 0 - 3*w**2 - 2*w**3 + 3*w**2 + (2*w**2 + 3*w**2 - 3*w**2)*(0 - w + 0) - w**3 - 4*w**3 + 3*w**3 - 2*w**3 + 0 + 0.\nAnswer: -7*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*i**4 - 4570*i**3 + 10*i*w - 7216*w - 80 wrt i?\nAnswer: 24*i**3 - 13710*i**2 + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 43*s - 146. Let y be t(14). What is the highest common divisor of y and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(9 - 3) - 2. Suppose -3*l = -t + 25. Is l*(2 + 2)\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, r: 6, c: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Suppose 2*j + 6 = y*j. Let h(v) = -3*v - j*v + 8*v. Let t(n) = -n. Give -2*h(f) - 2*t(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + 246*n - 354. Determine i(80).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*v)*(-171 + 337 + 38*v - 162).\nAnswer: 114*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 + 148. Which is the closest to 0.1? (a) -5 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/9 + 5*k**3\/9 + 22*k**2\/9 + 16*k\/9.\nAnswer: -k*(k - 8)*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1617)*-3 + sqrt(1617) + sqrt(1617))*-5)\/((sqrt(165)\/(sqrt(11)*1) + sqrt(15))\/((sqrt(300)\/sqrt(5))\/sqrt(12))).\nAnswer: 245*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91\/283 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d**3 + 73*d**2 - 23*d**4 - 74*d**2)*((d - 4*d + 4*d)*(-2 + 3 + 0) - 4 + 4 - 3*d).\nAnswer: 46*d**5 - 4*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12240 is divided by 70?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/5, 42859, -2.\nAnswer: -2, -0.5, 2\/5, 42859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0)*1\/(-3) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -20, 3, -1, 2, -105 in descending order.\nAnswer: 3, 2, 0, -1, -20, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (7 - 10) + -1 + 7 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81478684733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*p**2 - 7*p**2 + 9*p**2 - 6*p**2 as a*p**2 + w*p + o and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -205, -405, -685, -1045?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 26*c + 256. Calculate t(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558282.4 decades in centuries?\nAnswer: 55828.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 6*u + 7*u)*(1 - u - 1).\nAnswer: -u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188097 divided by -1.\nAnswer: 188097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.218*-0.699.\nAnswer: 25.316382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*u + 92 = -32, -170 = -5*w + 5*u. Let j be 2\/(w\/(-56)) + (4 - 0). Factor -j + 1\/4*g**2 - 1\/4*g.\nAnswer: (g - 2)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*l**2 + 47*l**2 + 64*l**2 - 2 + 1 to the form j + w*l**2 + b*l and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 36. Solve -s*w + 4 = -6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 39744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 792, 1566, 2340?\n\"Answer: 774*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85283 or -85282?\nAnswer: -85282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82706709.\nAnswer: 3, 1381, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmwplppwwwlzpmepp. What is prob of sequence mw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 108 - 44)*(-u**3 + 3*u - 3*u).\nAnswer: -125*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40986 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1283 - 497. Let m be (-9)\/(-3) + 1 + i. What is m rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 64 = -79, -2*i - 4*k = -44. What is the remainder when (0\/1 - 19)*-1 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 0*z**4 - z**4)*(7 - 1 + 3)*(1 - 1 - 3*z)*(-3 + 4 + 2).\nAnswer: -81*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171021 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.559 and 567081?\nAnswer: 567081.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:22 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10088, 20194, 30286, 40358, 50404, 60418, 70394?\nAnswer: 80326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {k: 1, l: 7, f: 4, d: 6}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 152*m + 1147. Calculate the remainder when j(-6) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 - 367.77. Let j = 0.308 + -0.038. Let q = j + z. What is q rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3947*v + 3911*v = 1080 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - 2 - (-7 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(160) + sqrt(160) - sqrt(160)))\/((sqrt(810) - 3*sqrt(810))\/sqrt(2)).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61115022 a multiple of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7585 and 68265.\nAnswer: 68265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -26.95 (b) 1 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and -14 - 12\/((-120)\/290)?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2096476 and 163\/180.\nAnswer: 94341420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8828 is divided by 419.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 32 - 6*z**3 + 2*z**3 - 42.\nAnswer: -8*z**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006588 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-4))\/(21\/28) - -278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 13*w - 23. Let g be f(10). Calculate the highest common divisor of 119 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -577823, -1155572, -1733321, -2311070?\n\"Answer: -577749*z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-8) + (-45)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10212110001112 (base 3) to base 2\nAnswer: 111110101111010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 2*m)*(0 + 0 + m**3 + ((3 - 4 - 1)*(0*m + 2*m - 4*m) - 1 + 2*m + 1)*(-60*m**2 - 112*m**2 + 101*m**2)).\nAnswer: -425*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -3.3. Let m = 0.3 - d. Let w = 2.734 - m. What is w rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 368 + -364. Suppose 5*t - 17 = 8. Solve t*k = z*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, k: 5, b: 4}. Give prob of picking 2 d and 1 b.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 6*o**2 + 2*o + 6. Let r be i(-6). Let h = 10 + r. Suppose -h*y - 16 = 0, -3*y + y - 8 = k. Solve -m + 0*m + 5 = k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2, 0.26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 9*g - 5. Suppose -g*r - 26551 = -11*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 43*h**2 - 15*h - 20. Determine p(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - 3 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-550)\/(-16) + (-81)\/216. Calculate the highest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 7901106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-156)*112\/(-84))\/(((-12)\/(-9))\/(-4))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*136873.\nAnswer: 2737.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1385125957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36127561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6*(-2)\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*6)\/(-6*-2*sqrt(4)) + 3 - (4*1*sqrt(13)*4 + (sqrt(13) + sqrt(52)\/sqrt(4))*1 + sqrt(13) + 4))**2.\nAnswer: 36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*z = 51, -392 + 425 = 3*w + 2*z for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1255 and 7223389947?\nAnswer: 7223391202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Let a = -1.1 - b. Is 2\/9 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 + 521 = -m. Solve 4*v + 5*p - 13 = 0, 0*v = -m*v + 3*p - 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2532.\nAnswer: -506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10619 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 2, u: 8, h: 5, g: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**2 + 1124*s - 6692. Determine k(6).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -4, 0.17 in descending order.\nAnswer: 3\/5, 0.17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 27*v**2 - 52*v + 53. Let j be t(25). Solve -5 = i - 4*k + 2, 0 = 5*i - j*k + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 2*l**4 + 7*l**4 + l**4 + 0*l**3 + 0*l**3 + (0*l + 3*l - 5*l)*(4*l - l**3 - 4*l) - 104*l**2 + 2*l**4 + 104*l**2.\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r - 5. List the prime factors of h(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*s = 453*s - 6312 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*b - 144. Let p(l) = l**2 - 17*l. Does 6 divide p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m - 141 = -172 + 164 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-112.3.\nAnswer: 2919.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*t - 87, -259*t + 3*x - 107 = -263*t. Calculate the remainder when 790 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13703657419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 776*x + 10. Let u(o) = -4*o**2 + 1164*o + 14. Determine -7*l(z) + 5*u(z).\nAnswer: z**2 + 388*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 5*v**6\/24 - 3*v**5\/8 - 11*v**4\/48 + v**3\/2 + v**2\/2 - 13*v. Factor u(m).\nAnswer: (m - 1)**2*(5*m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + (1 - 4) + (9 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -6418\/4705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*f - 0*f. Let j(t) be the third derivative of 1\/8*t**f + t**2 + 0*t + 0 + 1\/2*t**3. What is the first derivative of j(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 0*v**2 + 15*v + 0*v**2 - v**2 - 1 - 7. Let u be d(15). What is the tens digit of (-2*12\/u)\/(2\/38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161718848 by -80859424.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3392.914 rounded to 0 decimal places?\nAnswer: -3393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 118, 237, 404, 619?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.4990782 + -0.1990528. Let d = u + -7.3. What is d rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Factor -v*s - 6*s + 2*s**2 + 4 + 4*s.\nAnswer: 2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -31*y - 984. Determine s(-34).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 21*s**3 - 13*s**3.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3949 and 3883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 divided by -3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/30*(-5)\/(15\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 + -54. Calculate the remainder when w is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4340 - 4345. Which is the biggest value? (a) o (b) -7 (c) 309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*j = 782, 0 = 3*i - 4*j + 156 - 628. List the prime factors of 4 + i + 3 + -2.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*a**17)\/a*a*a))\/a**(-8)*(a\/(a*(a\/(a**(2\/11)*a)*a*a*a)\/a)*a)**7 assuming a is positive.\nAnswer: a**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*x - 2*n, 4*x + 4 = -3*n. Suppose v = 5*v + 240. Let g be (-86)\/v + 3\/(-5). Which is the nearest to x? (a) g (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-2))\/(3\/6). Calculate the least common multiple of 2\/3*(-126)\/l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/15 + (-456)\/855. What is the nearest to -2\/5 in 2\/9, -0.5, 3, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4244 divided by -4.\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -1 + 27 + -10 + -15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*y + q, -278622*y + 278624*y + 8*q = -0*q + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54219043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.11936 millennia to years.\nAnswer: 20119.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5307 + -3091. Let q = -2208.488 + b. Let o = q + 0.188. What is o rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 2\/(-6) - 70\/147. Put -2, c, 4 in increasing order.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, -8266, 5, 4 in descending order.\nAnswer: 168, 5, 4, -8266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221.104t in nanograms?\nAnswer: 3221104000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.46 * -1710528.\nAnswer: -786842.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3100?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from {h: 5, k: 2, m: 1, w: 1, p: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -1\/6*o**3 + 0*o + 1\/10*o**5 - 1\/4*o**2 + 1\/8*o**4 + 3. Factor k(c).\nAnswer: c*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 63 + 132. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3414 and 239595658?\nAnswer: 718786974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191 + -122. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 + 2 - (-3150)\/250. Which is greater: -8\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -1411*j**7\/70 + 3*j**5 + 5*j**3 - 7989*j**2. What is the third derivative of h(k) wrt k?\nAnswer: -101592*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7438*t**3 - 3672*t**3 - 3767*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 207906137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f + 4*i = 581, 4*i + 2977 = 5*f. List the prime factors of f.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 72*s - 622. Calculate w(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5)*2\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2*-6*(-19)\/1026. Sort -1, -20, u in decreasing order.\nAnswer: u, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122076 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -29. Suppose -l*z + 582 - 92 = 0. Calculate the greatest common divisor of 49 and z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 > -1.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*106.\nAnswer: -2438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*f - 272 - 944 = 0, -4*f = -2*y + 810. Is y a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98207\/17544 - 41\/731. Find the common denominator of -41\/39 and f.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(68) + sqrt(68)*-2*-3)\/(4*(sqrt(64) + 2*sqrt(64))*6).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 + 92*p**2\/9 - 466*p\/9 - 10640\/9.\nAnswer: -2*(p - 35)*(p - 19)*(p + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 20 = 3*a. Let s(f) = f**2 + 4*f + 4. Let b be s(a). Suppose 0*n**4 - 4*n**b + 5*n**4 - 3*n**2 + 2*n**4 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135730b (base 12) in base 10?\nAnswer: 3848699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 3 in increasing order.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40569.9999947541 - 40570. Round k to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17*n + 482. Let f be y(28). Solve -f + 22 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/52 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173205941, 346411881, 519617821, 692823761?\nAnswer: 866029701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 25) + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296 - 124. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104, 207, 310, 413, 516?\n\"Answer: 103*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnhl when four letters picked without replacement from dhnldnnnlu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 667356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 576414*p**3 - 3458403*p**2 - 5187564*p.\nAnswer: -3*p*(p + 3)**2*(p + 192132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 15, 0 = 3*w - 4*k + 8. Let j be 2\/(-12) - -1 - (-4)\/2. Which is bigger: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-14)\/4)\/((-1)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 98166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357 and 238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 69875938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)*-2 + sqrt(132)*-3*-4)\/((sqrt(72) - (1*sqrt(72)*-5 + sqrt(72)))\/((sqrt(60)*-2)\/sqrt(10))).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 111\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128640332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 14. Let f = -17 - -9. Let x(r) = -17*r - 42. Let m(a) = f*l(a) - 3*x(a). Let d(n) = n + 5. Calculate -8*d(s) + 3*m(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -15. Let o(k) = k**2 - 11*k + 13. Let a be o(u). Suppose 4*l = 3*z - 50, 5*z + 2*l - a*l - 55 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from {n: 1, z: 4, f: 7, l: 2, w: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -469 (base 15) to base 5\nAnswer: -12444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 101*v + 2790. Let u be h(-18). Suppose 7*g = -2*c + 3*g + 20, -2*c + 10 = -g. Solve -c = -2*z - u*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2734 = 723*k - 40*k - 10247 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 2*y**2 - y**2 + (4*y - 18*y + 0*y)*(0 + 0 + 2*y) to d*y + h*y**2 + j and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75.00391t?\nAnswer: 75003910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4928?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -286868 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2764 is divided by 464?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 1 - 181184*k**2 + 181212*k**2 + 7*k to r*k + f + x*k**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*a - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15301693 and 1391063?\nAnswer: 15301693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 17 = -27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4 + sqrt(405) + 0 + (sqrt(405) - (-1 + sqrt(405)))*3)*3)**2.\nAnswer: 648*sqrt(5) + 3789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*q - 24, -3*a + 3*q - 4*q = -51. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*t**3 + 2*t**3 + 2*t**3)*(-2 + 3 + 1) - 3*t**3 - 2*t**3 + 4*t**3 + t**3 + 0*t**3 + 3*t**3 - 1 + 4*t**3 + 1)*(1 - 5 + 6).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297482.\nAnswer: 2, 3, 43, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100001001001 (base 2) to base 7\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:06 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:25 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81704064 a multiple of 4056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 121957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/285 and -53\/40.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 - 86804*f - 4603421 = 0. What is f?\nAnswer: -53, 86857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/4 + 11*j**3\/3 - 9*j**2\/2 - 8*j + 27. Let a be t(10). Let u(w) = 1 - 4*w - 3*w - a*w + 4*w. Determine u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42056?\nAnswer: 2, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 16*q**2 - 23*q**2 + 7*q**2 + 17*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a factor of 98061149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.894466*3.\nAnswer: 83.683398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -9. Let a = f - -6. Let 2\/11*w**3 + 0*w + 2\/11*w**4 - 2\/11*w**5 + a - 2\/11*w**2 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2295444123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 and 15\/64856.\nAnswer: 64856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111 + 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*r - 11*r. What is the units digit of (1561\/35 - r)\/(3\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igiww. Give prob of sequence iig.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289437 and 2082?\nAnswer: 200869278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123, -244, -351, -438, -499, -528, -519, -466?\n\"Answer: h**3 + h**2 - 131*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-60)\/(-2850))\/(((-6)\/(-5))\/(21\/(-14)))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -81 + (-25 - -64).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2240 and 38395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/(-45)*5\/9. Let l = -6 + 9. Which is the smallest value? (a) -5\/2 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 + 156. Let b(y) be the second derivative of 4*y - 5\/12*y**4 + 0 - 1\/20*y**5 + 0*y**3 + 3\/2*y**g. What is b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*q + 6*q = 0. What is the closest to -0.1 in -2.8, 2, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/2*-3. Let j = 216 - 203. Let c = j + -10. What is the closest to 7 in y, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by 78\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from veejjveeeeeeqeveqqqq?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2. Suppose 3*d = -5*j + 40, 0 = 7*j - 2*j - 25. Let o(q) = -d*q + q + 7*q. Give i(o(k)).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 3*d**5 - 2*d + (-2*d - d**5 + 2*d)*(1 + 0 + 1) - 2*d**5 - 4*d**5 + 13*d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 1559101 = -4*f + 1559220, 3*f + 2*b - 4*b - 78 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-65))\/((-512)\/222720).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from tjw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -25, -46, -75, -112, -157, -210?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*n - 4 = 0, 6 + 2 = c - 4*n. Let p be -5 + -90 + c + 2 + -1. Let r = 135 + p. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 + 2*x**3 + x**3)*(-104 - 87 + 26).\nAnswer: 495*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssj when three letters picked without replacement from lsllsllllllsjssllsl?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 19*r**2 - 7*r**2 + (-3*r - r + 3*r)*(4*r - 4*r - 2*r) + 6*r**2 + 4*r**2 - 2*r**2.\nAnswer: -16*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1093185 from -0.14.\nAnswer: -1093185.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 12842012*k**3\/3 + 41229292368004*k**2\/3 + 54972441192064*k + 54972458314752.\nAnswer: (k - 6421008)**2*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29802948 divided by 1182.\nAnswer: -25214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509637 years in millennia?\nAnswer: 0.000509637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.6 + -13. Let k = -0.6 + 0.9. Which is the closest to 3? (a) -0.5 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19210 - 49*g - 19201 + 3*g**2 + g**2 in the form d*g + s*g**2 + u and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 15*w**2 + 49*w + 10. Let c be p(10). Suppose -4*t + 5*t + 0*t = c. Put -12, 3, t in increasing order.\nAnswer: -12, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 15. Let x be (0 - (b - 3))\/1. Suppose 2*o - 20 - 2 = x. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-1636.\nAnswer: -52352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*m - 170 = 2*m, -2*m = 0. What is the tens digit of 1194\/r + (20\/85)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - z - 27 = 0, -2*z = 4*c + 3*z + 69. Let v = -10 - c. Let d be 26 + -10 - (2 + v). Solve -2*h + d = 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4882, -19516, -43906, -78052?\nAnswer: -121954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/(m\/(m*(m*m\/m**1)\/m*m))*m**(-7)*(m*m**5)\/m)\/((m\/m**(-1))**(-4\/21)\/(m**(-1\/3)*m)**(-10)) assuming m is positive.\nAnswer: m**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5997 and 2845774401?\nAnswer: 5997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123536 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 0, 45 - 128 = -x - 5*n. What is the tens digit of (108\/x)\/(4\/1526)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1001*l + 4. Let p(u) = -754755*u + 3015. Determine -4*p(g) + 3015*t(g).\nAnswer: 1005*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 83, 165, 293, 473, 711, 1013, 1385?\nAnswer: 1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 462*p - 462*p - 37*p**2 + (-24 + 44 - 6*p + 5*p)*(0*p + 2*p + 0*p - 2).\nAnswer: -39*p**2 + 42*p - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13552238876 - 25*v**2 + 13552238876.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.797 (b) -11\/4 (c) 2 (d) 4\/5 (e) 5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104 - 2498a8?\nAnswer: -249a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43.19451 times -13\nAnswer: 561.52863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - -8) - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 2670.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5413, -10852, -16293, -21736, -27181?\n\"Answer: -j**2 - 5436*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 132 = 33*c, -2*c - 2*a = -506 + 514 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.557 - -69.4. Round m to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33894?\nAnswer: 2, 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 15*p**2 + 42*p - 22. Let l(k) = -3*k**3 - 15*k**2 + 43*k - 23. Let f(n) = 3*l(n) - 2*z(n). Factor f(x).\nAnswer: -5*(x - 1)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80392145*b**3*l**2 + 12*b**2*l**2 - b**2*l + b**2 + 25322*b*l**2 + b*l - 9 wrt b?\nAnswer: -482352870*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 1. Let r be y(5). Let f(a) = -a**3 - a + 7*a + 0*a**3 + 5*a**2 - 5. Let c be f(6). Is c less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhh when three letters picked without replacement from {s: 1, h: 3, l: 1, c: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 3\/5, -148, -10, -0.4, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 333\/2 - 171. Let u = -6 - -18. Suppose 0 = 2*o, -3*a = -o - 3*o + u. Is a at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-192)\/33 - 2\/11. Let b(g) = -35*g**3 + 17*g + 17. Let s(c) = 12*c**3 - 6*c - 6. Let j = 8431 + -8448. What is j*s(u) + m*b(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1) + 0\/(-1). Let p = 7 + s. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -82. Let p be ((-1)\/(-2))\/((-15)\/(-30)). Is p > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26586.\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69857419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 5 - 31)*(0*b**3 + 0*b**3 + 2*b**4).\nAnswer: -122*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30440701727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 58. Suppose 0*o = -5*o + 55. What is the least common multiple of o and (t - (-4)\/(-6))*(-33)\/(-22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-936)\/93 - ((-728)\/(-248) + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2894 divide 359857079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*i - 88*a*i**2 + 2462*i**2 + 8*i - 2 with respect to a.\nAnswer: 9*a**2*i - 88*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - -233?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17044865 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:21 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 60918\/333165. Let b = l + -2\/835. Let c = 1\/408 - 2453\/2040. Sort 2, b, c.\nAnswer: c, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0 + (1 + 1 + 1)*(-3 + 0 + 1) + 6 - 2 - 2)*(2*j + 0*j + j + (0*j - 3*j + j)*(-3 + 3 - 2) + 4*j - 1 + 1 + 1 + 2*j - 1).\nAnswer: -65*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.668 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**3 - h**2 + 26*h + 1191. Let w(m) = -12*m**3 + m**2 - 36*m - 1786. Give -7*o(v) - 5*w(v).\nAnswer: 4*v**3 + 2*v**2 - 2*v + 593","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18 - 20) + 795 + -1 + 0. What is the tens digit of (-5 - p\/(-28)) + 2\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 16 = -5*w, 4*o - w + 12 = 0. Let b = 5 + o. Let y(h) = h**2 - 2*h - 4. Determine y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 5*v + 42 = -5*p, -p = 3*v + 4*p - p - 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042815 to seven decimal places.\nAnswer: 0.0000428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61990 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, w: 2, j: 2, g: 6}. What is prob of sequence gggx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-1)\/4 - 2). Let h = 4.3 - 7.3. Which is the closest to y? (a) -1\/7 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8018133 is divided by 756.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, 0.2, -170807, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 1. Let z(t) = 7*t + 1. Let r be (-6)\/(-8)*6 + 26\/52. Suppose 2*w + 4 = w. What is r*i(p) + w*z(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 - 10*z**2 - 26*z - 14 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 314*v**4 - 24*v**3 + v**2 - 48790*v.\nAnswer: 3768*v**2 - 144*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j - 1. Let h(c) = 75*c**3 - 4*c - 3. Let s(k) = h(k) - 3*r(k). List the prime factors of s(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 8. Let h be j(-11). Suppose 4*g + 4*a = -0*a + 4, -3 = -4*g - h*a. Let z = 6 + g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**7\/3780 + t**5\/540 + 2*t**3\/3 - 3. Let j(m) be the third derivative of f(m). Factor j(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15646 * 0.363\nAnswer: -5679.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 143*o - 230805. Give x(1614).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 1288.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -127*s + 5. Let w(m) = -m**2 - 3*m - 4. Let x be w(0). Let q be x\/(-3)*((-9)\/(-6))\/(-1). Does 13 divide o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67596210 to the nearest 10000.\nAnswer: -67600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698167, 1396351, 2094559, 2792797, 3491071?\nAnswer: 4189387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16801640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*f = -290 + 3081 + 4193 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -419*l - 6. Let f be p(-4). Let v be 4\/14 - f\/(-35). Suppose -1 - 63 = -2*w. Calculate the highest common divisor of v and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008180944 to 5 decimal places.\nAnswer: 0.00818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 13. Let n be q(13). Let b(s) = 3*s + 242. What is the hundreds digit of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 3635568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a - 12. Give r(13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 6:59 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s + 20. What is g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a17 - -4?\nAnswer: -1a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198485333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2701*c - 1. Let y(z) = -2*z. What is y(n(r))?\nAnswer: -5402*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 232297754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*a**3 + 962.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42\/1073 + -25637\/134125. Let z = -2179\/2000 - c. Calculate the common denominator of 73\/56 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 56, 47, 34, 17, -4?\n\"Answer: -2*s**2 + s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 42268745372?\nAnswer: 42268745372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 314162 + -628327\/2. Let a = -0.04 - 2.16. Let p = a - -2. What is the nearest to p in j, 21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 484, 626, 764?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191125 = -16*p - 29*p - 191530 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. What is the nearest to 5 in 0.3, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(-1 + 2 - 5)*(6 - 6 - 18)*(0*z + z**2 + 0*z) as o + l*z**2 + s*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*c - 43, a + 4*a - 35 = -5*c. Let b(d) = 9 - d + 15 + 13 - 30. Give b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4900000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*v - 28, 3 + 5 = -v + 3*w. What is the remainder when ((-572)\/130)\/(v\/(-10)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44660.\nAnswer: 2, 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 16.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-200)\/(-5))\/8 - (-141)\/(-27). Which is the biggest value? (a) 0.5 (b) 2\/41 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**2. Let k(f) = -2*f**2 + 3*f - 2. What is k(t(d))?\nAnswer: -128*d**4 - 24*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 654, 1430, 2942, 5436, 9158?\nAnswer: 14354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -5*z + 1\/6*z**4 - 1\/2*z**2 + 0 + 1\/20*z**5 - 1\/6*z**3. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 97. Suppose -4*b = -3*h + 77 + 30, -5*b - 126 = 4*h. Let p be l(b). Solve -9*y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 6, 5?\n\"Answer: -j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0*j**3 - 1511*j**2 + 2*j**3 - 8 - j + 1519*j**2 - j = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 391*a**3 - 6*a + 87. Let r(o) = 130*o**3 - 2*o + 29. Let f = 96 - 113. Let c(m) = f*r(m) + 6*n(m). What is the derivative of c(g) wrt g?\nAnswer: 408*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79968*o - 86075 wrt o.\nAnswer: -79968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -321356.044 rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - -24. Let d = -19 + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131976 + -131975. Let h = -0.2 + -8.8. Put h, a, 0 in decreasing order.\nAnswer: a, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 205986 and 0.4.\nAnswer: 205986.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9521.75 (b) -1\/8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/(-4))\/(-3))\/(-1*3\/(-5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/17)\/i*i*(i\/i**14)\/i*i*i*i)\/(i*i*i\/(i\/(i*i*i*i*i\/(i*i\/(i*(i*i*i\/(i*i**(1\/7)))\/i)*i*i))*i)*i*i*i)**(-1\/31))**(-11\/4) assuming i is positive.\nAnswer: i**(100397\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -450243054?\nAnswer: 450243054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.694 rounded to 1 decimal place?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -204*f - 6118. Give l(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3 = l + 13, 0 = -3*z - 3*l - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-4)\/4 + 0). Suppose 4*z + g = 19, -5*z + 2*g - 3*g + 23 = p. Let r = -2 - -3. Calculate the highest common divisor of z and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/10 - q**4\/12 + q**2. What is the second derivative of k(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411234 (base 11) in base 5?\nAnswer: 132113310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 1639\/(-88)) + 6\/16. Calculate the common denominator of 59\/142 and (6\/24)\/(d\/(-637)).\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**2*o))**23 assuming o is positive.\nAnswer: o**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 16, 0*o = -2*o + k + 22. Find the second derivative of 33*i**3 - 16*i - 17*i**3 - o*i**3 wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -22*w + 7. Determine f(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - -2.305. Let g = 27.005 - m. Let x = g - 27.000042. Round x to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578339904 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngyflllggnz. Give prob of sequence lnly.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26619 divided by 467.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 5*l**4\/4 + 4*l**3 - 6*l**2 + 2*l - 5. Let u(m) be the first derivative of z(m). Factor u(r).\nAnswer: 3*(r + 2)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 4. Let h(t) = -6*t - 7. Let k(r) = 30*r + 36. Let y(g) = -11*h(g) - 2*k(g). Determine 3*v(b) + 2*y(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00694614516 rounded to 5 dps?\nAnswer: -0.00695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*56\/(-84)*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2 + 0 - 3)*(-b + b - 2*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q + 6 = 0. Let n(w) = 24*w - 4. Let b be n(q). Let a = -35 - b. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 146?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 4045 = -6*r. Suppose -11*a = -r + 72. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23834824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11)*1) - sqrt(102)\/((sqrt(18)\/sqrt(3) - sqrt(6)) + sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 7}. Give prob of sequence wwws.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-7)*p\/p**(1\/7)*p**(-3\/7)*p\/(p\/(p**(-4)*p)))**15 assuming p is positive.\nAnswer: p**(570\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**40\/w))\/w*w**(-2\/23)*(w\/((w*w\/((w*w**48*w*w*w)\/w)*w)\/w))\/(w**22\/w) assuming w is positive.\nAnswer: w**(-232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2072 - -14983. What are the prime factors of m?\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540.7209us to nanoseconds.\nAnswer: 540720.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v + 181 = -315 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-720))\/((-1091)\/(-13092))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 - 107*g - 1000. What is c(-12)?\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:09 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.28415 nanometers to micrometers.\nAnswer: 0.08528415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a84a8 (base 11) in base 8?\nAnswer: 13027247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 + 42332*d**4 + 447957222*d**3 - 896041444*d**2 + 448041889*d = 0.\nAnswer: -21167, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422\/7 + -60. Let l be (1 - 2 - 2) + (-20)\/(-4). Factor 2\/7*h**l + j*h - 4\/7.\nAnswer: 2*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836325, -836327, -836329, -836331?\nAnswer: -836333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h - 62. What is f(-5)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7848.8 - -7848.8. Let j = -3 + 6. Let v = j + -3.5. Which is the nearest to 5? (a) i (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-2229893.\nAnswer: -1114946.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618744374.\nAnswer: 2, 3, 13, 43, 160877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 25*r + 74 - 29*r.\nAnswer: -4*r + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let i(l) = 79*l + 6. Let y(d) = 316*d + 27. Let n(h) = 9*i(h) - 2*y(h). What is f(n(a))?\nAnswer: -158*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - a**2 + a + 1. Let w be u(-2). Let q be 6\/(-3)*w\/2. Let g = -6 - q. Solve 3*f + 5*b - 21 + 4 = 0, g*f - 2*b - 18 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 64 = 2*m, -2*y = 2*y - 3*m - 68. What is the least common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 275, 260, 235, 200?\n\"Answer: -5*z**2 + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/18)\/2 - (-74 + (-3714)\/(-54)). Suppose 0 = -u - 3*o + 77, 256 = 4*u - 5*o + 4*o. What is the highest common factor of u and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16369, -32743, -49113, -65473, -81817, -98139, -114433?\nAnswer: -130693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from ynfyycchfnfy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147401991.\nAnswer: 3, 11, 496303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1183 or -41424\/35?\nAnswer: -41424\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/20 - 1\/4. Suppose -5*u - 1 = -i*f + 5*f, -4*u + 6 = -f. Solve -v = -3*g + u - 4, 3 = -3*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + 2*p**3)*(-39 - 110 - 125).\nAnswer: -548*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)*l\/(l\/l**(-11))*(l**(-3)\/l*l)\/(l**0\/l) assuming l is positive.\nAnswer: l**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*h = q + 689, 2*q + 1389 = -3*h. Let l = q + 1083. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*g + 4*b, 2*b - 3*b - 10 = 5*g. Find the common denominator of g + 1 - 98\/(-16) and -19\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26367364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1021*b. Let i(p) = -13689 - 3*p + 13689. Give i(s(j)).\nAnswer: 3063*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 62*f**2 + 61*f**2 + 0 to i*f + c + j*f**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1031 - 25 - (1 - -3) - 6. Is d != 6978\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 - 5*r**3\/6 + r**2 - r. What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrdrrdd. Give prob of sequence rdr.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, i: 2}. Give prob of picking 1 i and 1 d.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13)*s**1*(s**(-1)*s)**(-3\/19) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/(32\/(-10))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112911960 divided by -595.\nAnswer: -189768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10302 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -1, 65, -3614, -2?\nAnswer: -3614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 2*u = 10, 5*q = 3*u - 15. Let b be (-6 - 25)\/(3\/156). Let s be 2\/(-8) + (-299)\/b. Is q smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 + 1?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 235\/45*(-9)\/(-6) and -3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttjt when four letters picked without replacement from ujhthtnthjhhhjttg?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 15. Let t = 10 - w. What is the second smallest value in -1\/9, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 8*f**2 - 8*f + 9. Let k be g(7). Solve k*x - 1 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1099465 bigger than -1099458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 102*q - 1. Let f be w(1). Suppose -5*d + 4*l + f = 0, -l = d + l - 23. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4032) + 4)**2 + (sqrt(1008) - (sqrt(1008) - 5*sqrt(1008)*-1)).\nAnswer: 132*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - ((71 - 16) + -28) - (0 - 83).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = 8. Is 831\/6 + (-1)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194370 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 107 = -34*a - 457 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 17*b**2 - 13*b + 21. Let f be (-1442)\/119 + 4\/34. List the prime factors of r(f).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 4, -33 = -3*s + 3*b. Let w = 5 - 2. Suppose -2*i - 5*f - s = 0, 5*i = -w*f - f + 4. Solve -6*v + 2*v + 4 = -2*a, i*a = -16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.48 and 35?\nAnswer: -86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 67.4914 centuries?\nAnswer: 6.74914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -871*o**3 + 6*o**2 + 5*o + 6. What are the prime factors of n(-2)?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 4912323*r = 0 for r.\nAnswer: -1637441, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 3\/5*a**5 + 0*a**2 + 2\/3*a**3 - a**4 + 5*a - 2\/15*a**6 + 0. Let t(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3*q - 3)*(-3 + 7 + 3).\nAnswer: 21*q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f = -640 + 1180 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536753103 is divided by 718?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44055 - 3?\nAnswer: 44052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -261*w. Let n(q) = 349404*q**2. Determine k(n(g)).\nAnswer: -91194444*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -485 - 0.3?\nAnswer: -485.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.327 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2996, -3000, -3004, -3008, -3012?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2312403322 + 1112?\nAnswer: -2312402210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302357 is divided by 12093?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*y + 12 = -2*n, -2*n + y + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1135735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1028, -2, 3 in descending order.\nAnswer: 1028, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5767 is divided by 714.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 8 + 0)*(2*f + 49 - 39 + 0*f)*(4*f**3 - 3*f**3 + 14*f**3 + 11*f**3) as c*f + i*f**3 + p + k*f**4 + z*f**2 and give k.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-3\/2)\/(n\/(n\/(n\/(n*n**1))*n)*n*n**(-1\/11))*(n\/((n*n*n**(-4)*n*n)\/n)*(n**4\/n)\/n)**(-35) assuming n is positive.\nAnswer: n**(-3089\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3 - 11140*w**2 + 99792*w + 399744 = 0.\nAnswer: -3, 12, 2776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*r**2 - 101*r**2 - 2*r - 97 + 0*r + 47*r**2 - 3*r in the form d*r + s*r**2 + b and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-455)\/26 - (-2)\/(-8)\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffiqwow. Give prob of sequence qx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - b + 21 = 0, 3*b - 8 - 1 = 0. Solve -4*v = -h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 34 (b) 4 (c) -3 (d) 316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-54)*(-51)\/(-15)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -5, 4636 in decreasing order.\nAnswer: 4636, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2760 divided by -1380\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247 - -222. Sort 3, -5, d in decreasing order.\nAnswer: 3, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**7))\/(x\/x**3))**(-18\/11))**(-1\/3) assuming x is positive.\nAnswer: x**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:35 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + (-16 - (17 + (-15 - (-8 - -43))))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*5*-1 - (sqrt(343) - ((0 + sqrt(343))*2 + sqrt(343))**2).\nAnswer: -42*sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 11821626*o + 11821629 = 0.\nAnswer: -1, 3940543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 10*n**2 + 15*n + 36. Let d be w(-8). What is the second derivative of 5 + f + 27*f**2 - d*f**2 - 81*f**2 wrt f?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4785\/4*s - 2395\/2 + 5\/4*s**2 = 0.\nAnswer: -958, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 5*g, 3*g = -2*z. Let f = -62 + 62. Which is the nearest to f? (a) z (b) 2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 553 + 54*y - 282 - 24*y**2 - 299 - 2*y**3.\nAnswer: -2*(y - 1)**2*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -32*c**3 + c**2 + c + 1. Let z be k(-1). What is the third derivative of -22*y**4 + 83*y**2 + 3*y**4 - z*y**4 - y**5 + 23*y**2 wrt y?\nAnswer: -60*y**2 - 1248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353229522 divided by -117743174?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 144*i. Let t(u) = 50*u**2 + 7*u + 2. Give q(t(c)).\nAnswer: 7200*c**2 + 1008*c + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41\/39 - 8\/13. Let u(d) = -d + 9. Let j be u(5). Which is the biggest value? (a) g (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a - 110. Let b = 186 - 115. Calculate the remainder when b is divided by c(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 147 - 228. Suppose 0 = 22*c - q*c - 30. What is the second biggest value in 1, -0.04, c, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qndb when four letters picked without replacement from bqqqmdn.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:48 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from llli.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {g: 1, n: 3, d: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(564\/189 + -3). Suppose 2*n - f = -n. Determine g so that 0*g**2 + 20*g**3 - 5*g - 2 - n*g**3 - 4*g**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Put u, 1, 2 in descending order.\nAnswer: u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = -2*p + m, -p + 2 = 3*m. Let a be (6*1)\/3 + 3. Suppose a*z - 56 = -16. Calculate the remainder when z is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-11) - 35\/22.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-2772)*9*420\/24?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 419849*q**3*u**3 - 2*q**3 - 17*q**2*u**5 - 7*q**2 - 24457*q*u**2 + 2*u**2 wrt u?\nAnswer: 2519094*q**3 - 1020*q**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*b - k + 24, b = 3*k + 14. Suppose -10 = -5*n, 5*o - 72 = 3*o + 3*n. Calculate the remainder when o is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 39*o - 40. Calculate t(31).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 668 - 944. Let b = -275.9999862 - u. What is b rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 28 + 3260 + -3325?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b. Find the third derivative of -3 + b*z**4 + z**4 + 3 - 2*z**2 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 8*u**2 + 3*u + 22. Let d be a(10). What is the greatest common factor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 14*s**2 - 4530*s - 4534. Calculate u(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443\/(431039\/(-12510))*14\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*x**5 + 15600*x**4 - 12420*x**3 + 2480*x**2 = 0. Calculate x.\nAnswer: 0, 2\/5, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 1880*g = 0 for g.\nAnswer: -376, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283422.5 years to centuries.\nAnswer: 2834.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*j**4 - 257 + 255 + 9*j**4 with respect to j.\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -27*x**6\/40 + x**5\/30 + x**4\/24 + 973*x**3\/6 - 2*x**2 - 41*x. Find the second derivative of j(u) wrt u.\nAnswer: -486*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from gggagggagggg.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 6, z: 6, p: 4}. What is prob of sequence pu?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-1 - (-5 - -2))) + (-229 - -241).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -9. Let o(z) = 4 - p + 6 + 37*z + 28*z. What is the units digit of o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -23*x - 1188. Give s(-50).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133.7 + -205.6. Let f = z + 70. Which is the third biggest value? (a) -1 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4597 + 64301\/14. Find the common denominator of (-18)\/(-117) + 4452\/1144 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2903772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + -3 - sqrt(448)*2.\nAnswer: -15*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65851 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(16) + (1*(sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4)) - sqrt(9)\/sqrt(12))**2.\nAnswer: 2*sqrt(3) + 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -842, -1660, -2458, -3236, -3994, -4732?\n\"Answer: 10*x**2 - 848*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*y**2 - 96*j - 3*y**2 + 4 wrt j?\nAnswer: -y**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 0*w)*((0*w - w + 0*w)*(2*w - w + w) + 4*w**2 - w**2 - 4*w**2)*((5 + 2*w - 5)*(-2*w + 5*w - w) + w**2 + 0*w + 0*w).\nAnswer: 60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3552 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 1. Let p = 183 + -174. Suppose 4*k - p = 4*g + 15, -g - k = 6. Calculate y(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-4 - (1 + -2 + 1 + -4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-38) - 219736\/2372150.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8148938 months to centuries.\nAnswer: 0.0015124115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.97984 to two decimal places.\nAnswer: 32.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11655*y**4 - 6777?\nAnswer: -46620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 = -3*l, -8*o + 3*o + 11 = 3*l. What is the second derivative of -i - 3*i**4 - 9 + 0*i**o + 3*i**4 - 16*i**3 - 2*i**4 wrt i?\nAnswer: -24*i**2 - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 15 + 39 - 42*q + 117*q.\nAnswer: 75*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 761 + -756. Suppose 13 = a*s - 3*j, -5*j - 22 = -4*s - 9. Solve -4*m - 6 = -5*l, 2*l + 3 = -s*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -22. Calculate the lowest common multiple of (6\/15)\/((-2)\/(-30)) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5))**(-2\/7) assuming h is positive.\nAnswer: h**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, -4, -23, 1\/5, -92.\nAnswer: -92, -23, -4, -2, -2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 268257, 266456, 264655?\n\"Answer: -1801*m + 270058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 - 172710?\nAnswer: -172756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -226356998218901 - -0.3\nAnswer: -226356998218900.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-1)\/(-6)). Let g be ((-1085)\/28)\/(1\/t). Suppose -4*x = 3*c - g, 2*c - 183 = -c + 3*x. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4367 and 1837.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1915311 not equal to -1915330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + w = 19, 2 = -t + 4*w + 17. Find the second derivative of 4*i + i + t*i**3 - 7*i wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124164*i**3 - 2*i**2*n**2 + 2*i*n + 17028*n**2 - 3 wrt i.\nAnswer: 744984*i - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1438 and 0.0885.\nAnswer: 1438.0885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -5 - (-3 - (-11 - 0))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 1. Let w(q) = 25*q + 5. Let x(u) = 5*o(u) + w(u). Let l be x(-1). Calculate the least common multiple of l\/6*-1*3 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose 5*f = -2*n + 133, n - 121 = -5*f + b*n. Let y be (3 + 6\/(-2))*1. Solve y*g + 5*g + f = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15\/1322 + 5333\/3966. Which is the biggest value? (a) s (b) -8 (c) 3 (d) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:27 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-1 - (30 + -16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/(-15))\/4)\/((-4)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*i + 20 = 4*i, -11 = -3*u - 5*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52335556977.515 - -5.\nAnswer: 52335556982.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + 3*n - 3*n + (2*n - 4*n - 3*n)*(0 - 5 + 3)*(0*n - 3*n - 4*n + 3 + n - 3 + (0*n - 5*n + 3*n)*(1 - 1 - 1)) to p*n**2 + l + t*n and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 1*sqrt(12)\/sqrt(4) - (5*sqrt(27))**2)*-3.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 19602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4928 and 5467?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111000101 + 10?\nAnswer: -1100111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31871.36 rounded to the nearest one hundred?\nAnswer: -31900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in -0.1, 1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-310)\/(-310))\/((-2)\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001110001101001101 + 100?\nAnswer: -101001110001101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/5090 and 65\/6.\nAnswer: 15270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6867 is divided by 215.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Suppose -u*a + 85 + 110 = 0. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*q**3*w**3 - 11*c*q**3*w + 2*c*q**2*w**3 - 4*c*q**2*w**2 + 3*c*q*w**3 wrt w?\nAnswer: 6*c*q**3 + 12*c*q**2 + 18*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/143 (b) -13 (c) 3\/2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.55 (b) 4\/11 (c) -3\/8 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/(i\/((i*i**(1\/6)*i)\/i))*(i**8\/i)\/i**(5\/8))**(-2\/23) assuming i is positive.\nAnswer: i**(-205\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 139303*g - 696484. Determine d(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -151 + 303 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 611 and 623 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 4*o + 1. Let f be u(-4). Let y = 10 - 51\/5. Let m = -4\/5 - -7\/15. What is the nearest to f in y, 5, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -672*f**3 - f**2 - 4*f - 7. Let w be h(-5). Let g = w + -581608\/7. Let n = g + -898. Find the common denominator of -43\/4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 100. Suppose -5*y + p = 5*i, -3*y - 3 = -4*i - 1. What is the lowest common multiple of 5 and y + 2 + -1 + 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1622*j**3 + j**2 - 1718*j?\nAnswer: 9732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140.79 + 142.89. What is the third smallest value in f, -5, 3\/25?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227549*s**3 - 311594*s**2 wrt s.\nAnswer: 1365294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -28. Is y at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49619*o + 50055*o - 12644 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.58 - -0.536. Let d = -0.144 - h. Which is smaller: d or 12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Let i be (-1)\/a - (-84)\/16. Suppose 2*t = -4*r + r - 2, 5*r = -i*t - 10. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-8)*-22 - (-6 - -2). What is the second biggest value in -1, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epp when three letters picked without replacement from {h: 4, c: 5, x: 1, e: 5, p: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7728 is divided by 242?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64053 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from abbbgbg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168719\/50694 - 80\/1207. Calculate the common denominator of c and (-2)\/(-5) - 1186\/240.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7522 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77802 + 77731.946. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3256 + 427. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 + 13 - 32*h**3 - 12 - 616*h**2.\nAnswer: -3*h**3 - 616*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1) + -5*(-6)\/(-30). Let n be 1 + 32 + (-4 - -3)*i. Suppose 0 = 16*b - 7*b - n. Solve -2 + 6 = -b*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*h - 88*h = -9. Let j(w) be the first derivative of 0*w - 3\/5*w**5 + 0*w**4 - 5\/2*w**2 + 0*w**h - 5. Find the second derivative of j(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1156.006175 - 1156. What is y rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2359 divide 84242249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 31*w**3 - 14 - 14.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-60) - 34\/12. Let i = 19 - m. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7132525.\nAnswer: 5, 285301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 15, 22, 29?\n\"Answer: 7*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, 279, 725?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2, 1, 52, -87 in descending order.\nAnswer: 52, 1, -2, -37, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 72832*s**2 - 509996*s - 437160.\nAnswer: 4*(s - 18215)*(s + 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873 equal to 4861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6722.85 to the nearest 100.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 49\/(-126)*-18.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53767699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261 or 11?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - -1bd32?\nAnswer: 1bd5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 129*q**2 - 380*q + 252.\nAnswer: -(q - 126)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539317.6 decades to centuries.\nAnswer: 53931.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 21*5 - 3. Round q to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 3. Let z(f) = 6*f**2 + 2*f - 6. Let a be z(-4). Let c(w) = 3 + a*w - 79*w - w**3 + 2*w**3 + 5*w**2. Give c(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65\/6, 2, 4, 0.058 in increasing order.\nAnswer: -65\/6, 0.058, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 - 8*n - 1. Let q(j) = -5*j**2 + 7*j. Let g(d) = -4*q(d) - 3*x(d). Is g(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51682.\nAnswer: 2, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 256726, 514690, 772654?\n\"Answer: 257964*q - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 - y + 5. Let f be k(5). Suppose 3*t + 2 = -1. Is t smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42560437 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k + 6*k)*(3*k**4 + 2*k**4 - 3*k**4) - 12*k**5 + 3*k**5 + 10*k**5 + 2*k**5 - k**5 - 3*k**5.\nAnswer: 15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -15.1 (b) 3203 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 113230?\nAnswer: -113221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 12 - 68*h**2 - 13 + 76*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.55 from -0.020113.\nAnswer: 1.529887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 23, -4, -11 in ascending order.\nAnswer: -11, -4, -3, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v**3 - 2*v**2 + 14*v - 53. Let p(y) = -76*y**3 - 11*y**2 + 77*y - 265. Give -2*p(b) + 11*x(b).\nAnswer: -13*b**3 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 2*g + 5*g + 1 - 1 + 2*g + (18*g + 18*g - 18*g)*(1 - 1 - 1) + (2*g - 3*g + 0*g)*(1 - 4 + 1) - g + g - g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 74285*f - 148590.\nAnswer: 5*(f - 2)*(f + 14859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -676.3 + 676.9. Let z = -92 + 463\/5. Which is the closest to j? (a) z (b) -4\/7 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -46.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 805?\nAnswer: 804.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 795, 6345, 16647, 31695, 51483?\n\"Answer: -q**3 + 2382*q**2 - 1589*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + 1c0?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219003651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - -63 - (17 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4548059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36864 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20277.\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b + 12. Let u(j) = -7*j - 6. Let t(r) = 3*a(r) + 7*u(r). Let l(s) = 11*s + 17. Let z(c) = 6*l(c) + 17*t(c). Let f(o) = -4*o**2. Calculate f(z(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-28 - -6683) + (-10)\/(-5)*10\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-196)\/42)\/((-1)\/18) and 20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340545867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*u + 40 = -101*u - 3*b, 0 = -4*b + 24. Calculate the remainder when 68 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:34 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114.92 - -114.32. Let l be (-1)\/(-2 + (-6 - 1)). What is the third biggest value in z, -1\/5, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/23 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*r**2 + (1 - 5 + 3)*(-r**2 - r**2 + 0*r**2) + 4*r**2 + 2*r**2 - 4*r**2)*(4*r**3 + 0*r**3 + 0*r**3).\nAnswer: 28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12) - sqrt(12)*-2) + -5*(sqrt(5) + 1))**2 + (sqrt(30) + sqrt(360)\/((sqrt(12) - (sqrt(12) - sqrt(12)*2)) + sqrt(12)))\/sqrt(6).\nAnswer: 48*sqrt(5) + 1205\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 23*i - 9. Let c be u(17). Let l = c - 61. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/((sqrt(72) + 1*sqrt(72))\/sqrt(9) - sqrt(8)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*r - 21. Let n be 2\/r*(2 - -7). What is the tens digit of (-14)\/n + 3 + (-458)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -77*f**2. Let y(v) = 6*v**2 + 9*v + 18. Let n(t) = -3*t**2 - 4*t - 8. Let p(d) = 9*n(d) + 4*y(d). Give z(p(b)).\nAnswer: -693*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.760005728 + -4.76. Round w to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 2*r**3 + 6*r**3 + (3*r**2 - 3*r**2 + 2*r**3)*(-4 + 0 + 5) + 2948 - 7*r**3 - 2952 + 5*r - 4*r as l + d*r + x*r**2 + z*r**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + f = 8479979, 4*f = 5*w - 6297281 - 4302719. Suppose -2*c = -2*j + w, 4 = 3*c - c. Round j to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 17 + 47. Let g be (5800\/1)\/(q + 11). Round g to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s*x**4 - 4014*s*x**2 + 2*s*x - 693*x**4 + 2*x**3 wrt x?\nAnswer: -24*s*x - 16632*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 7:09 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-2))\/(3\/6). Let l = -12 - m. Let f(b) = -7*b**2 + 2*b**2 - b**3 - 1 + 0*b**3 + b. What is f(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 508*p - 2565.\nAnswer: (p - 513)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -852 (b) 2\/3 (c) -3989 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/495 and -101\/308.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -925 + 925. Let h = 25.6 - 0.6. Let v = 13 - h. Are v and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 greater than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.4, -1, 4, -175?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**3 + a - 21*a**3 - a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 * -0.03.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/3 (b) 2 (c) -3\/2638 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3482, -3118, -2526, -1706, -658?\n\"Answer: 114*j**2 + 22*j - 3618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1012)\/(-176) + 1*(-3 + -2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 321 or 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68584.\nAnswer: 2, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -12, 22, 72, 144, 244, 378?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.03 to zero decimal places.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + 6 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.4. Let x = -0.2 - m. Let q = -0.1 - x. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 6) to base 9.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -85 + 40. Suppose 4*h - 48 = -5*o, -9 = -z*h + 3*o + 27. Solve -2*g + g - 5*y = -h, 0 = -4*g + 3*y - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, t: 6, c: 4}. What is prob of sequence cttt?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12501\/20 - 625. Let o(w) be the second derivative of w**2 - 1\/3*w**3 + 0 + 1\/4*w**4 - s*w**5 - 7*w. Calculate o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:22 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 21. Suppose -4*w + m = -12. Suppose 3*t = -4*y + t + 20, 2*t = w*y - 15. Solve 2*s - f - 3 + 10 = 0, -y*s = -4*f + 25 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(192)*-2 - (-5 + sqrt(192)*-2))**2 + 1.\nAnswer: -480*sqrt(3) + 6938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 11 (b) -23 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 5. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2382574*p**2*t - p*t + 14*p + 79*t - 17 wrt p?\nAnswer: -4765148*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**3\/2 + q**2\/2 + 4*q. Let w(r) = 2*r + 1. Suppose -5 = -5*i + 20. Suppose -20 = -i*a - 0*a. Determine a*w(z) - 3*l(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-3)\/(sqrt(1000)\/sqrt(4)) + 2 + -3)**2.\nAnswer: 24*sqrt(2)\/5 + 313\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -557 (base 10) to base 9.\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3238.078 + -3243. Let s = -0.952 - h. Let j = s + -4. Which is the second biggest value? (a) j (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 5442, -3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*o = -3*o - 112, 3*c - 4*o = 62. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779015 greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {g: 2, p: 1, r: 1, y: 1, h: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 + 9*i. Let t be (217 + 1 + -5)\/((-3)\/2). Let m = t + 136. Let k(x) = -11*x**2 - 19*x. Let p = 76 + -89. Calculate m*k(o) + p*z(o).\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 84*n - 1 - 172*n + 9*n**2 + 90*n in the form b*n**2 + v*n**3 + q*n + f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put 313, -14, -3 in increasing order.\nAnswer: -14, -3, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/17, 2\/79, 1.7, 0.1?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 22 = 2*h - 0*c, 0 = h - 3*c - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -297*s - 33. Let g be y(-3). Suppose 2*w = 3*m + 5*w - g, -1440 = -5*m + 5*w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*v**3 + 455*v**3 + 427*v**3 - 1728*v**3.\nAnswer: -265*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y - 112 = 0. Let i = -47 - y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/365742 and -11\/168804.\nAnswer: 2194452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 15. Let x(w) = 2*w + 3. Let n be x(-6). Let p = n + o. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492336258.\nAnswer: 2, 7, 15227921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14645 + 14872?\nAnswer: 30627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6, -n + 5*n - 58 = 3*x. Let o be 0\/(-2) + n\/4. Factor 2*s**4 + o*s - 3*s + 2*s**5 - s.\nAnswer: 2*s**4*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n - 4*y + 48 = 0, -2*n = 5*y - 47. Let q = -38 + n. Let j = 37 + q. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2517864 and -0.1.\nAnswer: -251786.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66880, -66044, -65208?\nAnswer: -64372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246 - 161. Suppose -3 = -2*i + 3. Suppose 2*v + i*v - r = 0. What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 44576184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29463 is divided by 293.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 107*n**2 + 2795*n + 372. Determine d(44).\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 164*w - 155*w - 90. Solve 3*q + w = 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -20*o - 340. Determine n(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w**2 - 219*w**2 + 66*w**2 + 76*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1072 - -1072. Let x(v) = -v**2 - 7*v - 6. Let b be x(-6). Determine f so that 2\/7*f**3 + 2\/7*f**2 + o*f + b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z - 4*z. Suppose -24 = 5*l - z*g, 2*l + 4*g = -2*l - 8. Is l\/14 - 5649\/(-49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2*g**5\/5 + 6*g**3 + 106*g + 147. Differentiate z(h) with respect to h.\nAnswer: -8*h**3 + 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**3 - g**2 + 1. What is the smallest common multiple of d(-1) and 11 - (-5)\/((-5)\/2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5218.8 - -5219. Let q = 11.5 - 11. What is the nearest to 2\/37 in v, q, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(0*v - 3*v + v) + 2*v + v - 5*v - 2 - 2*v + 4*v + 1)*(406 - 406 + 14*v).\nAnswer: -56*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -1 (c) -2\/21 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -13*v + 16. What are the prime factors of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1008*k**3*w**2 - 28*k + w**2 wrt k.\nAnswer: 6048*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 - 8*v**2 + 12*v**2)*(1 + 0 + 0)*(2 - 5 + 1).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + h = 1761, 2*h - 1045 = -4*m - 4587. Round m to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 9*y**2 - 9*y + 17. Suppose 4*b + 4 = -12, -3*u = -3*b + 12. Let k be s(u). Let m = 13 + -8. What is the greatest common divisor of m and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3. Calculate g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - (-10)\/(-25)*74. Let s = -43 - n. Let i = 16 + s. Solve f = -i*w + 4 + 2, 0 = 3*w - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 35*z = -812. Suppose 13 = -i - z. Is i at most -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**3*z**2 - 4*v**3*z + 46*v*z**2 + 3*z wrt v.\nAnswer: 12*v*z**2 - 24*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -13013.838?\nAnswer: -13014.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67270 by -10.\nAnswer: -6727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*c + 3*c. Sort -7, c, 2 in descending order.\nAnswer: c, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 11 + -10 + 864\/(-14). Which is smaller: v or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-1)\/(-39)*-1). Let o = -79 + 52. Let m = o - d. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 38311, -0.08, 0.3 in ascending order.\nAnswer: -0.08, 0.3, 1\/2, 38311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314926 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-376)\/12 + (-6)\/9. Let i = -2688 + 7967\/3. Let r = s - i. Is r < 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6792387.\nAnswer: 3, 7, 181, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 23.3?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n**5 - 4285*n**4 + 6410*n**3 - 2135*n**2 = 0 for n.\nAnswer: 0, 1\/2, 1, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 634347685 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/7 (b) 132 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2107100708 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2, -0.2, -2\/3, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 35. Let x = 24 - h. Let j = x + -8.3. What is the nearest to j in 4, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 28 = -4*c, 3*c + 2*w - 13 = 15. Solve 5*u - 2*u = -c, 0 = j - u - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 5 + 2)*(-3 + 3 - 2*b)*(b - 3*b + 4*b) to the form a + o*b**2 + m*b and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = -38*b - 10*b - 568 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-24))\/(6\/12)*-1. Let h(q) = -q**3 - 34*q**2 - 33*q + 9. Let b be h(-33). Put -4\/3, p, b in descending order.\nAnswer: b, p, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 3*z - 59. Let j(b) = -2*b. Calculate u(j(s)).\nAnswer: 8*s**2 + 6*s - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 63*u + 3 + 164*u - 52*u - 47*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*y = -157*y - 5*w + 18, 3*w - 6 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 48. Suppose 0*w - 4*w = -v. Let n(i) = -4 + 2 - 2 + 4*i - i**2. What is n(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 7 = -3*m + 37, 59 = 3*m - 4*c for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -113561*o - 1021992. What is r(-9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 137\/2. Factor -k + 1\/2*v**2 + 0*v.\nAnswer: (v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83e (base 16) to base 8\nAnswer: 4076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o**(3\/8)*o*o))))**(-1\/14) assuming o is positive.\nAnswer: o**(19\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 11*v + 41 + 20 = -t + 9*v, -31 = t + v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5 + 13 - 8 - 6*s**2 - 10*s**2. Let w(n) = 19*n**2. Calculate q(w(z)).\nAnswer: -5776*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.3599 centuries in months?\nAnswer: 36431.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52508514.\nAnswer: 2, 3, 19, 317, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y - 1. Let t(c) = -c**2 - 52*c - 7. Let x(n) = 6*o(n) - t(n). Let d = 13 + -21. List the prime factors of x(d).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l + 6. Let v be m(5). Suppose -2*p - 2*s = -5*s, 0 = 5*p - 3*s - 9. Let r(j) = -5*j - v + 3*j - 2*j + p*j. What is r(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 4, v: 8}. Give prob of picking 1 s and 1 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159 and 2850.\nAnswer: 151050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 16*q**2 - 5*q - 214. Give s(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-8)\/2)\/28*36\/(-27).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 7*f = 21, 4*f = 2*g + 8. Let 0 + 2\/3*x**5 + 128\/3*x - 12*x**4 + 194\/3*x**3 - 96*x**g = 0. What is x?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + 3. Let h(y) = y**2 + 24*y - 94. Let v be h(-27). Let w be v\/(-91) - (-2)\/(-7). What is the second biggest value in -5, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}