{"text":"Question: Three letters picked without replacement from dddpdddpd. Give prob of sequence dpp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 639 divide 399104703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b = -3*b + 102480. Suppose -6*m = 22*m - b. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of -m**5\/20 + m**4\/6 - m**3\/3 - 2*m**2. What is i(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2280 and (-2)\/(24\/28) - -1*1561\/21?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 - (0 + 13 - 3)) + 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(2) + -2)*-1)**2.\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f + 6. Let j(h) = h - 7. Let m be (-6)\/9*(-3)\/(-2). Let o = m + 7. Give o*j(p) + 7*x(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.05 - -0.95. Let r = -2.375 - -0.375. What is the nearest to n in r, 0.1, -28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 160646701073 + -0.2.\nAnswer: 160646701072.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(7\/4))**(-17)*(c*c\/(c**(-2\/31)*c))**(1\/6))**(-1\/8) assuming c is positive.\nAnswer: c**(3667\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 + 8*y**2 - 13*y - 16. Let w be s(5). Let h(z) = z**3 + 7*z**2 + 3*z - 15. Let i be h(w). Solve -5*a + 14 = 3*p, 3*p - 2*a = 4 + i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - (-2 - 2 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1.0282 less than 0?\nAnswer: -1.0282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 867 and 3?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in -0.15, 42, -4\/93, -3?\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -34 or -26728\/785?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**3 - 10*j**2 + 21*j + 87. Let y be z(-12). What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -37 - -44. Put 2, 0.1, r in descending order.\nAnswer: r, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2, 0.5, 0.2, -0.2, -0.09, 4\/533?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**3 - 25*v**2 + 83*v - 6. Is 12 a factor of u(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 3 (b) -0.01 (c) 0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-2)\/(-4) - (-1199)\/(-154) and 24\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03? (a) -0.2 (b) 19 (c) 2\/5 (d) 123 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let 113*c**2 - 52*c**2 + 24*c - 60*c**2 - 5*c - 66 = 0. What is c?\nAnswer: -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -20. Suppose -2*x + s = -7. Let p(h) = -h**3 + 8*h**2 + h - 2. What is the units digit of p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1449807.\nAnswer: 3, 59, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = v, 4*h - 12 + 0 = 2*v. Let a be (0\/h)\/(-2 + 0). Suppose 16 = 4*c - a*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: Rearrange -6*f + 12*f - 10*f + (-11 + 0*f + 33 + f)*(2 - 4 + 4) to m*f + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -2*u. Suppose 5*h - 4*n = 2 + 16, -4*h = -5*n - 9. Suppose -30 = h*i - 48. Solve -s - i = 4*p, u*s + 3*s = 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8759839*t**5 - t**2 - 9*t - 84084 wrt t.\nAnswer: 525590340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.4 + -0.32. Let l = 0.72 + p. Let a = -0.992055 + -0.007945. Does a = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k - 4. Let r be q(-3). Let b(n) = -n - 6*n**r - 5*n + n**3 - 8 + 1. Let y be b(7). Solve -2*t + 14 = 3*t + f, y = -5*t + f + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and 6.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of m**6\/120 - 179*m**5\/30 - 25*m**4\/12 - 7*m**3\/6 + 723*m**2. What is the second derivative of r(x) wrt x?\nAnswer: 6*x - 716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*q + 117913 = 4*n + 60*q, -3*n - 4*q = -88391. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 96 * -276383.5.\nAnswer: -26532816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20\/9? (a) -2 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 + 23. Suppose 34 = 3*w - 2*l, 0 = 5*w - 3*l - l - 60. Suppose -w*m = -3*m. What is the units digit of y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 2 (c) 2\/11 (d) -5 (e) 1009.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, h: 11}. Give prob of picking 1 g and 1 h.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d + 2*d - r = 9, 13*d + 144 + 156 = -r + 309 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24.1 - -136.1. Let l = n + -150. Round l to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 125302920 by -478.\nAnswer: -262140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4954 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -25*d + 260. Let j be u(11). What is the units digit of j*2\/(-10) - -1316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100101100000 - -11011?\nAnswer: -100101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -33\/155 and -103\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -114770138 take away -688?\nAnswer: -114769450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 572907*n**3 + 26927940*n**2 + 246471*n\/4 + 141\/4 = 0.\nAnswer: -47, -1\/874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as -981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-15)\/20 + (-46)\/(-8). Let f(c) = c - 2. Let k be f(n). Let a = -97\/140 - 3\/28. Sort a, -1, k in descending order.\nAnswer: k, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 252 - 181. Let k = -26 + b. Calculate the least common multiple of 10 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -135472124, -135472107, -135472074, -135472019, -135471936, -135471819, -135471662, -135471459?\nAnswer: -135471204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 396 + -391. Let o = 13.7 - -2.3. Which is the smallest value? (a) -5 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -97, -260, -537, -928?\n\"Answer: -57*n**2 + 8*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 69, 91, 117, 147?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/7)\/(18\/(-63))*108\/(-1863)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -21*a - 5. Let t be u(3). Is t\/(-3) - 36\/54 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*1*(8 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 4*b**2. Let n = -21 - 464. Let t(i) = -99*i**2 + 4*i - 2. Let p(s) = -23959*s**2 + 970*s - 485. Let d(f) = n*t(f) + 2*p(f). Give d(r(g)).\nAnswer: 1552*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together -77.738 and -18.099293.\nAnswer: -95.837293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 86036.92 milliseconds to seconds.\nAnswer: 86.03692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -72? (a) -3 (b) -2 (c) -1\/10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 87509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1437106.\nAnswer: 2, 11, 65323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4174115 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 178872926 to the power of 1\/2, to the nearest integer?\nAnswer: 13374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1208660 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((9\/(-3))\/(-6))\/((-4)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10 - -44. Suppose j = -5*t + 9. Let b(y) = 2*y**2 + 3*y. Let n(d) = 3*d**2 + 5*d. Let u(s) = -2*s + 1. Let w be u(-1). Calculate t*b(p) + w*n(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17153 - 17153.8991. Round t to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 8*f + 145 = -5*p, -2*p - 72 = -5*f. Let k = p + 46. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by -181874.\nAnswer: 1\/90937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -5368102 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 318752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8.2 + 8. Which is the third biggest value? (a) -3 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -4*a + 6. Suppose -2*x = -3*x + 7. Suppose -x = -4*g + 9. What is c(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -3*s**2 - 184*s - 559. Determine o(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 140 and 1218?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4201133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 0*z - 18 = -26. Factor 9\/5 - 3\/5*p**z - 6\/5*p.\nAnswer: -3*(p - 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 0*u = 3*t + 16, -4*u + t - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the third derivative of o**5\/12 - 3*o**2. Let g be y(-1). Solve -g*w + 4 = 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 48*i + 6*i**2 - 4 - 42*i + 6*i**3 - 5*i**3. Let b be o(-4). Solve -7*c - 6 = -b*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4339557?\nAnswer: 3, 47, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2521, -10374, -23457, -41764, -65289, -94026, -127969?\nAnswer: -167112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 5*r - 39. Let l = -10 + 17. Suppose p = -4*k + l, k - 5*p - 7 = -0. What is the remainder when r is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3763 (base 8) in base 13?\nAnswer: c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 5*x**3 + 16*x**2 + 9*x - 9. Let k(l) = -l**3 - 4*l**2 - 2*l + 2. Suppose -2*h + 0*t = -2*t - 34, 3 = 3*t. Let n(s) = h*k(s) + 4*j(s). Factor n(v).\nAnswer: 2*v**2*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0.5 (c) -3\/5 (d) -14 (e) 2752\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9875 and 170640.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14 and 6806.\nAnswer: 47642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (73 + 50 - 30)*(-m + 0 + 0 - 3*m - 3*m + 4*m + (-2*m + m + 0*m)*(3 - 3 + 2)).\nAnswer: -465*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1099386 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 75\/45*(0 + -3 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (9 - 13) + (-42)\/(-10). Which is the fourth smallest value? (a) 17 (b) 4\/7 (c) -2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -16*m**3 - 7*m**2 - 7*m + 25. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (19 + -12 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6128604 millimeters in micrometers?\nAnswer: 612.8604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + 4*r + 7, 8 = 2*k - 2*r. Solve -k + 18 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97 = -v - 5*g, v + 5*g + 271 = 4*v. What is the nearest to -1 in v, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 100859599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 61691\nAnswer: 6169.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 112948 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 24*y**2 + y**2 - 9*y**2 + (-3 + 2 + 2 + (17 + 12 - 25)*(-1 - 4 - 7))*(y**2 + 0*y**2 + 0*y**2).\nAnswer: -31*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 + 11*l - 33. Calculate y(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2296 and 7784.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 105, -2, -5 in decreasing order.\nAnswer: 105, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1974*n**2 + 1982*n**2 + 2 - 55*n**3 + 1 + n**3 + 1 to z*n**2 + d*n**3 + h*n + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*b + 9*b = -39*b - 666 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2923)\/13 - (2944\/208 - 14). Is y smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 8624*t**5\/9 - 225442*t**4\/9 - 10532734*t**3\/9 + 12272102*t**2\/9 - 1520050*t\/9 - 2500\/9 = 0. Calculate t.\nAnswer: -25, -1\/616, 1\/7, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 113*y**3 + 22*y**3 + 68*y**3 + 117*y**3 + 60*y**3 - 550*y**3 - 2.\nAnswer: -170*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 3*n - 3. Let y(k) = 4*k - 3. Determine 7*m(t) - 6*y(t).\nAnswer: -3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -176*z = -183*z - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 326*q*z**3 + 145500*q*z**2 + 257735213*q*z + 2*q wrt z?\nAnswer: 1956*q*z + 291000*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03544964 + -141.06?\nAnswer: -141.09544964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28 - 6. Let o = 22 - g. Find the common denominator of -7\/16 and -4 + o + 539\/84.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -678*h**2 + 341 - 341 to f*h + m + r*h**2 and give r.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3669 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 5*h, 4*r - 4 - 4 = -4*h. Let k be r*((-2)\/(-8) - 0). Let d = 1529 - 1529. What is the nearest to d in -1, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 147*w**4 - 125?\nAnswer: 588*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22 - -24. Solve l*r = a - 2*r, -2*r = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/(-5))\/(348\/14007*7\/(-2)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**2 - 15*i + 2. Let t(s) = -14*s + 1. Let n(u) = -5*b(u) + 6*t(u). Let r(g) = 3*g**2 - 5*g - 2. Let v = 374 - 370. Calculate v*n(z) - 7*r(z).\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -4.28 and -42.2246?\nAnswer: 37.9446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, 61092 in ascending order.\nAnswer: 0, 3, 61092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2198.1 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/(-24)*(0 + 9). Suppose 0 = p*q - 381 + 54. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 459818691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 2*o**2 + 36*o**2 - 13*o**2.\nAnswer: 25*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -11320 (base 8) to base 10.\nAnswer: -4816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*q + 2*q = q + 1765201. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 5*z + 24 = 0, -d + 3*d + 15 = -3*z. Let u(g) = g**3 + 3*g**2 + 2. Let w be u(d). What are the prime factors of (-141)\/w*14\/(-21)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 3*t**3 + 114891*t**2 + 1100397165*t + 7697151525 = 0.\nAnswer: -19145, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(78) - (2*sqrt(78) - sqrt(78)))\/sqrt(6))**2 + -3*(6*(sqrt(52) + sqrt(13)))**2 - (-1*sqrt(104)\/sqrt(2))\/(sqrt(144)*-2).\nAnswer: -12636 - sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21001475, -42002951, -63004427, -84005903?\nAnswer: -105007379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 50? (a) 131\/5 (b) -2 (c) -812\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((112\/24)\/14)\/((-1)\/(6\/(-9))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the third derivative of m**5\/180 - m**4\/24 + 32*m**2. Factor f(c).\nAnswer: c*(c - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2404 and 1317952733?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 432868659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(4\/3)\/(u**(2\/17)*u))\/(u**(1\/6)*u**(-2\/13)) assuming u is positive.\nAnswer: u**(269\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -226348 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 7:18 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 + -1. Let g = -4 + u. Differentiate 0*h**2 - 2 - h**g + 0*h**2 with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 48 - 13. Let c = 301 - 308. Let l(y) = y**3 + 10*y**2 + 6*y - 3. Calculate the remainder when l(c) is divided by g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7, y: 1, t: 10}. Give prob of picking 2 t and 1 y.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*k - 5*k**2 + 3*k**2 + 16*k.\nAnswer: -2*k**2 + 67*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 89.32413*5\nAnswer: 446.62065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 43730.5 years?\nAnswer: 43.7305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n + 0*n + 0*n)*(2 - 5 + 4) - n - 3*n + 3*n + (-3*n + n + n)*(-2 - 1 + 4) + 1 - 1 - 2*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3ad1 (base 15) in base 9?\nAnswer: 18217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4410 divided by 15?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*f - 3*i + 42, 2*f + 16 = -4*i. What are the prime factors of (-46)\/f - (-4)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1003296.\nAnswer: 2, 3, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.7 + 1.2. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*p + 3*p = 0. Solve 5*y + x = 16, p*y + 3*x = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 95 - 87*h - 1136*h - 95 to w + c*h and give c.\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 92 = -3*a - 723, -4*c = a + 208. Let v = a - -221. Let z = 82 + 17. What is the highest common divisor of v and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 205199341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9141445 and 245.\nAnswer: 447930805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1798 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -6 + 21917050.3\nAnswer: 21917044.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 60 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6634957.\nAnswer: 7, 947851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2411 greater than 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 111\/5104 and 51\/24464.\nAnswer: 709456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -s**3 - 135879*s**2 + 2*s - 76756.\nAnswer: -3*s**2 - 271758*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4, 130, -34, -2 in ascending order.\nAnswer: -34, -4, -3, -2, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -89 - 13ab?\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 121493.\nAnswer: 121493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + 10805*l + 10802*l - 21610*l.\nAnswer: -3*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3*(-4)\/4 + 5. Let t = d - 6. Let o = t + 10. Round o to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*o = -y + 7*o - 0*o + 28, -268 = -16*y + 4*o for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 78 and 670851831.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 1)*(2*k - 2*k + 3*k) + (-2 + 4 - 1)*(-4*k - k + 4*k) - 3*k + 3*k - 2*k + (3 - 1 - 3)*(0*k - 2*k + 3*k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*d - 7*r - 283, 2*r + 91 - 7 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 5. Suppose 39 = o - h*o. What are the prime factors of (-38)\/(-6) + 52\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -5\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-33)\/(-4))\/(1\/(-4)). Find the common denominator of 32\/11 and (-69)\/(c\/(-6) + 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -116, -106, 12, 310, 860, 1734, 3004, 4742?\n\"Answer: 12*q**3 - 18*q**2 - 20*q - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, s: 1, m: 3, j: 1, f: 3}. Give prob of picking 1 j, 1 e, and 2 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 146? (a) 5\/3 (b) 0.2 (c) -0.1624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -51) + 20 + 131 + -155.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3\/3 - 6*q**2 + 47*q\/3 - 10.\nAnswer: (q - 15)*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 0 + 2*x - 1 + 2*x**2 - 5 + 4. Let k be m(-2). What is the third derivative of -68*n**6 + 83*n**6 + 7*n**k + n**2 wrt n?\nAnswer: 1800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1324.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 8*f + 6. Let h(c) = -3*c - 2. Let x(d) = -11*h(d) - 4*y(d). Let n be x(5). Differentiate -1 + 6 + b + n*b with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -39 + 662\/17. What is the third smallest value in t, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 789 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 10 = -4*t. Find the second derivative of 4*s + 3*s**t + 2*s + s - 3*s wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20, -31, -42, -53?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-820)\/(-2624))\/((-5)\/12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 0 - 4*a - 5 - 2 + 3*a. Let g be j(-9). Solve -5*s + 3*c = 22, -5*s = 5*c - g*c + 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 2*j - 35 = 43, 5*t + 5*j = 155. Suppose -2*p + 126 = 2*w, -5*w - 34 = -p - 1. Let o = t + p. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -265.57 - -282.57. What is the closest to l in 5, -6, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - 65?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -42 - -33. Let c be (-234)\/(-27) - (-6)\/w. Let i(h) = -h**3 + 9*h**2 + 7*h + 2. List the prime factors of i(c).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u - 7. Let o(l) be the third derivative of 0*l + 4*l**2 + 0 + 1\/6*l**3. Determine g(n) + 6*o(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50812?\nAnswer: 2, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 3*b - 0*b. Let s = -197 + 198. Find the first derivative of -s - 4*d + 5*d - b*d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/((-1 - -1) + 2). Let v(f) = f**2 - 2*f + 2. Let a be v(2). Suppose q - a - 5 = k. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**3 + 6*r**2 + 3*r - 6. Let l be n(-5). Solve l = -2*c + 4*a, -4*c - 5*a = -a + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 836 - -256. Let i be 9\/(-21) - (-482)\/c. Let g = 61\/195 - i. Find the common denominator of g and 17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 55a558 + 3a?\nAnswer: 55a596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -27\/21011830 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - (3 + -8 + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 29972 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1335 - -2615. Let h be (0 - (-2)\/(-5))*-5. Suppose 4*d + w - g = 828, 5*d - h*w - 5979 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -498 divided by -50?\nAnswer: 249\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 2. Let o(d) = 3*d**3 - d**2 - d + 14. Let k(w) = 4*w**3 - w**2 - w + 20. Let v(n) = -5*k(n) + 7*o(n). Determine v(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*l + 9*l + 1555 = -t, -5*t + 4657 = 3*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 5*c + 14 = 0. Let z(r) be the second derivative of 1\/20*r**5 + 1\/6*r**4 + 0 + c*r + 0*r**3 + 0*r**2. What is the third derivative of z(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 350999 is divided by 200.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of 65*m**7\/42 + 25*m**6\/2 + 151*m**5\/4 + 195*m**4\/4 + 40*m**3\/3 - 30*m**2 + 2753*m. Solve h(k) = 0 for k.\nAnswer: -2, -1, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/(-6) + (10\/(-15))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -2*o**2\/7 + 5499674*o\/7 + 32998116\/7 = 0.\nAnswer: -6, 2749843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -46*o - 253. Let a(c) = c**2 + 7*c - 13. Let h(i) = i**2 + 7*i - 16. Let q(y) = o*h(y) + 6*a(y). Calculate q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -3*n - 14. Let t = n + 19. Solve 2*y - t - 3 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91493 is divided by 277?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2916411989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 - 7*h**2 + 8*h - 7. Determine l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 250.6 to zero dps.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6978888.\nAnswer: 2, 3, 7, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 44354, 89071, 133788, 178505, 223222?\n\"Answer: 44717*o - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-21)\/(-105))\/(1\/305). Suppose -v*z - 2480 = -66*z. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*i**3 - 988*i**2 + 991*i\/2 - 62.\nAnswer: -(i + 124)*(4*i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24)\/(sqrt(6) + sqrt(216) + sqrt(6)))\/((1*sqrt(10))\/sqrt(5)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -18 + 18 - 2*v**3 - 3*v**3 + v - v + 2*v**2 - 2*v**2 + v**3 + (-v**2 + v**2 - v**2)*(-2*v - 3*v + 4*v) - 3*v**3 + 2*v**3 - v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 5. Let r = 9\/2 - u. Let o be (-8)\/28 + (-15)\/(-28). Which is the closest to r? (a) 0.5 (b) -1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.2074 - 4.1. Let w = -0.0074 + f. What is the closest to w in -0.1, -1\/2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 62 - 52. Let f be (2 - (-12)\/(-8)) + h\/4. Suppose 0*n - 15 = 5*k - f*n, 0 = 4*k + 4*n - 20. Solve -4*o - o + 4*p - 5 = k, p = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence axcb when four letters picked without replacement from {x: 4, b: 4, m: 2, a: 4, c: 6}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2761547484?\nAnswer: 2, 3, 541, 425377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 6 + 817*d**3 - 4*d + 6*d + d**2 - 6 - 818*d**3. What is a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 1 (c) -2128 (d) -25 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.30689 to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -4*k - 9*k. Solve -5 = k*v + 4*c, 0*c = 5*v + 3*c + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*-2*155\/465?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)\/(2*sqrt(12)) + -2)**2 + (sqrt(88)\/sqrt(4))\/sqrt(11) + ((sqrt(98) + sqrt(98)*-2)**2 - sqrt(98)).\nAnswer: -10*sqrt(2) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -18*m**3 + 120*m**2 - 245*m + 2146. What is b(9)?\nAnswer: -3461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 35 * 10\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*t = -8*t + 7*t. Let p = 1.34 + -0.24. Let g = 1.7 - p. What is the third smallest value in g, t, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n**5\/3 - 383*n**4\/3 + 361*n**3\/3 + 8023*n**2\/3 - 362*n\/3 - 7640\/3 = 0. Calculate n.\nAnswer: -4, -1, 1, 5, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((-11655)\/8325)\/((-7)\/(-615))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = 3*y + 71*f - 73*f, -y = -2*f + 7. Let n = -5 + 5. Let b(i) = 2 - 2*i + i**2 - 2*i**2 + n*i**2. Give b(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -7. Suppose -74 = g*j - 5*j. Calculate the remainder when j is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 574*g*o**3 + 523*g*o**2 + 838608*g + o wrt o?\nAnswer: 1722*g*o**2 + 1046*g*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 18471913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 0*p = 28. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t + 0*t - 4*t)*(15 - 16*t - 15).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 585768, 584937, 583552, 581613, 579120, 576073?\n\"Answer: -277*p**2 + 586045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a**2 + 224*a - 228 = 0. Calculate a.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h**2 - 8*h**2 - 14*h**2 + 4*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 483927 - 483927 - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (r - 2*r + 0*r)*(6 + 0 - 4) + 5*r + 29*r - 12*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of -10541695 and 5.\nAnswer: -10541690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.29 + 10?\nAnswer: 9.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 26*m**3 - 2*m**2 + 2*m - 2. Let d(t) = -623*t**3 + 49*t**2 - 49*t + 49. Let u = -2993 + 2944. Determine u*a(h) - 2*d(h).\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*b + 2*b + 0*b)*((-b + 5*b - b)*(-2*b + 2 - 2) - 11*b + 4*b**2 + 11*b) to the form n*b**2 + r*b**3 + q*b + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8210668, 8210665, 8210662, 8210659, 8210656, 8210653?\nAnswer: 8210650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -8. Let w(i) be the second derivative of 2*i - 1\/12*i**4 + 1\/3*i**3 + 0 + b*i**2. Find the second derivative of w(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4.4*-0.5.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 32072434 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (-860424)\/(-16) - (-42)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 2536.61 and -2409.6.\nAnswer: 127.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -61 + (-41 - (-68 + -19))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 8, f: 5, w: 4}. What is prob of picking 3 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1081 is divided by 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 - (0 + (3 - 1)). Let q(a) = -30*a - 1. Let i(n) = -n. Let r(x) = 3*i(x) - q(x). Let c be r(w). Round c to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1136335 (base 12) to base 10\nAnswer: 3307865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 329\/6*h - 331\/6 + 1\/3*h**2 = 0.\nAnswer: -331\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 1 + 0)*(-1097*s + 173*s + 67236*s**2 + 180*s + 743*s) in the form n*s**2 + r + o*s and give n.\nAnswer: 67236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 79*a**2 + 1566*a - 292. What is b(-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 240063248 from 2241.\nAnswer: -240061007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 377 - 381. Let u be (-28)\/21*(-2 + (-10)\/a). What is the nearest to u in -2, -5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3 + 5. Let p(k) = 2*k**2 - 25*k + 37. Let r be p(11). Let x(i) = 164 - 164 + r*i**f. Let o(l) = -l**2. Give x(o(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be 49\/28 + 1\/4. Let i = -1 + v. Calculate the least common multiple of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -711.4 (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/47? (a) 1 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.005782307281 rounded to five dps?\nAnswer: -0.00578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.4 - -5.4. Which is the biggest value? (a) f (b) 0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b in b**4\/7 - 90*b**3\/7 - 276*b**2\/7 - 278*b\/7 - 93\/7 = 0?\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 2*i + 248 = -2*w, -5*i = -4*w - 246. Suppose -v - 2*v + 3*s + 54 = 0, 85 = 5*v - 4*s. What is the remainder when i is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -11*v - 820 + 67*v + 40*v + 820. Let k(x) = x. What is k(u(h))?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3446550 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2244617*s**3 - 3*s + 4252 wrt s?\nAnswer: -13467702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-60)\/36)\/(3\/9). Let f = 27 + -46. Let o = 19.3 + f. Which is the third biggest value? (a) -0.02 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 231, 815, 1787, 3147, 4895?\n\"Answer: 194*o**2 + 2*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 5*u**2 - u. Suppose -l - l + 2 = 0. Let q be k(l). Let s(j) = -j - 6. Let h be s(-5). What is the third biggest value in h, q, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22\/42 - 41\/(-287)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**2 + 14*a - 44. Let s be o(-20). Let j = -80 + s. Let g(h) = 2*h - 2. What is g(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g - 3. Let m = 1057 + -1041. Determine r(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.092 - 0.098. What is w rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9678, -137, 10.\nAnswer: -137, 10, 9678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gkdgddkkqdgdkkg. Give prob of picking 1 d and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.217 - 23.713. Let x = 25 + w. Suppose -4*o = -1258 + 1254. Which is the fourth biggest value? (a) x (b) o (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 2 - (23 + -38 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13)\/65 - 14\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12\/13 in -6, -4968, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the third derivative of 0 - 1\/60*y**5 + 0*y - 1\/3*y**3 - y**2 - 5\/24*y**4. Let u be x(-4). Solve u*a + 5*o - o = -20, o - 2 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3c + -6b?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(120)\/sqrt(6))\/sqrt(2) - 6*sqrt(40)\/sqrt(4))\/(-3*(sqrt(32)*2 - (sqrt(2) + (sqrt(16)*-2)\/sqrt(8)))))**2.\nAnswer: 3125\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/9 - (-1 + (-9)\/3). Let y be (-6)\/8*(-20)\/(-1). What is the units digit of y\/(s\/((-380)\/15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1431296 or -78?\nAnswer: -1431296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the second derivative of -251*x**8\/28 + 4*x**4\/3 - 10*x**2 - 46*x. What is the third derivative of r(l) wrt l?\nAnswer: -60240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 76.77487 kilograms to tonnes.\nAnswer: 0.07677487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (114*z - 26 + 57 - 33)*(-z - 2*z + z).\nAnswer: -228*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00012051258324 to 6 decimal places.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ywyqyqwmqq. Give prob of sequence qw.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**2 - 2841*h + 8550.\nAnswer: -3*(h - 3)*(h + 950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-245)\/(-10))\/((-1)\/(-2)). Suppose 6*c = 4*c - 2*y + 10, -3*y - r = -5*c. Calculate the remainder when 43 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.741327l in millilitres?\nAnswer: 6741.327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -258 + 608 - 349 + 130*o**3 - 3*o.\nAnswer: 130*o**3 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.16 - 0.16. What is the biggest value in d, 0.2, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 975 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -72981022 and -72981020 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -48, -433, -818?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of 1\/4*s**2 + 2 - 1\/16*s**4 + 0*s + 1\/12*s**3. Let j(y) = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 103399*z**4 + 20403*z + 1.\nAnswer: 1240788*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 12*r - 5. Let b = -31 + 27. Let i(v) = 11*v - 4. Let q be -2 + 6 + (1 - 0). Let n(s) = b*w(s) + q*i(s). Let a(k) = -2*k**2. Calculate n(a(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 7:22 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {b: 5, t: 2, n: 4, q: 3, l: 5}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2549030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -556*-17.\nAnswer: 9452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -64 + -11d5de?\nAnswer: -11d642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 378\/630 + (470\/(-325) - -1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 0*n - 2*w = 2399998, -n - 3*w = 599997. What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m\/m**(-3\/7))\/m*m**(-3))**(-18))**(15\/2))**(-10) assuming m is positive.\nAnswer: m**(-24300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3.41659 millennia?\nAnswer: 3416.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10388 is divided by 2590?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 127, -334, -935, -1736, -2797?\nAnswer: -4178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of x**7\/42 - 5*x**6\/12 - 13*x**5\/4 + 310*x**4\/3 - 1120*x**3\/3 - 655*x**2. Determine f, given that u(f) = 0.\nAnswer: -7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44175 divided by 8835.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 6*p + 1715. Let m be l(0). Let f = m - 1120. Calculate the remainder when f is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 - 13.8. Let w = 1 - y. Let p = -108 + 109. Which is the closest to p? (a) -4 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 54137*m**5 + 2*m**3 + 299628*m**2 wrt m.\nAnswer: 3248220*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1709853922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 21*d**2 - d + 1. Let l be b(1). Let a = -10 + l. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -11*u - 8. Let l(p) = -7*p**3 - p**3 + 3*p - 2 + 0*p. Let k be l(1). Is x(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4410 and 1909040?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 110, 502, 1188, 2180, 3490?\nAnswer: 5130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -103706 (base 8) in base 13?\nAnswer: -12a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(-14)\/v)\/v*v)\/(v\/(v**(2\/45)\/v*v*v))*(v**(2\/7))**(8\/3))**(-2\/3) assuming v is positive.\nAnswer: v**(8942\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.049 + 37272484.\nAnswer: 37272483.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = -3*y - 3*l, 0 = 3*y - 3*l - 31 - 56. What is the remainder when y is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -45168 + 66789. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 + 101. Suppose -q = -5*q + y. What are the prime factors of (-12 + 16 - q\/6)*153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 29, 0, -10 in decreasing order.\nAnswer: 29, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 8028 = -2793. Let c = -5836 - b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 1\/1563?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 291 + -291. Which is the nearest to i? (a) 19 (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 200*y**5 - 290*y**4 - 1205*y**3 + 620*y**2 + 585*y + 90 = 0. What is y?\nAnswer: -2, -3\/10, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*z + 21 = -30*z. Differentiate 177 - 44 - 9*a + 3*a**2 + z*a + 8 + a with respect to a.\nAnswer: 6*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1607, 1469, 1331?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 853566*c**2 - 2590439*c**2 - 2574396*c**2.\nAnswer: -4311269*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -13013 (base 4) to base 16.\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -132492*i + 55526*i**2 - 55529*i**2 + 132486*i.\nAnswer: -3*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(42)\/(sqrt(6) + sqrt(24)*-6 + sqrt(6)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 + -1. Let n = -16.8 - d. Which is the biggest value? (a) -0.1 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 4, q: 1, t: 3, j: 4, z: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -l + 1. Suppose -5*b = -10, r - 84 = 5*b - 2*b. Suppose -l*g + r = g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p**3 + 10*p**2 + 3*p - 13. Let i be b(5). Suppose 2*q = -i*o + 14, 16*o - 12*o = 4*q + 12. Solve 5*h + o = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -15\/11, 67, -0.2, 2, -2\/13, -8, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -16, 0.02, 4, 0.1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12\/14 - 462\/(-147) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 314555122.\nAnswer: 2, 7, 1709, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 753564 + -366664. Round u to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 477*j**3 - 217*j**3 + 48*j**3 + 251*j**3.\nAnswer: 559*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2658 + 4357 - 10*y + 56*y + 7462*y**3 - 44*y wrt y.\nAnswer: 44772*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/9 not equal to -2\/141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 32447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -154*h = -153*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o - 24299 + 24230 - 7*o.\nAnswer: -5*o - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand v - 497*v**3 - 523 + 271*v**3 + 5*v**2 + 224*v**3 + (-3*v**2 + 3*v**2 + v**3)*(0 - 5 + 3).\nAnswer: -4*v**3 + 5*v**2 + v - 523","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 3*a**5 - 1 + (2*a**5 + 0*a**5 - a**5)*(0 - 1 + 2) + a**5 - a**5 + 3*a**5 + 3*a**3 + 11*a**5 - a**3 - 22*a**5.\nAnswer: -4*a**5 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7000 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2838 - -2851. Let r = 112 - 50. Calculate the remainder when r is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 19899 and 38016.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 0*j + 17 = 5*a, 0 = 5*a - 15. Let g = 1 + j. Let d(n) = -n + 2. Let c be d(g). Solve -c*o + 15 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8078453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-10)\/(-6) + (-9367)\/4263 and 59\/70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2. Let w(s) = 103*s + 394 - 58*s - 394 + 159*s. Calculate x(w(v)).\nAnswer: 41616*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -756 = t - 5*t - 5*f, f + 378 = 2*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1049 - 15737\/15. What is the nearest to -0.01 in v, -9, 0.2, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22 - -33. Calculate the remainder when u is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79616658?\nAnswer: 2, 3, 11, 29, 41597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-7)\/(-56)*-2*-92 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2906 + 2910. Solve n*w + 2 = 2*k, 10*k = 8*k - w + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 16\/20*(-5)\/(-2). Suppose 2*q - 3*q = 4*a - 24, -n*a = 4*q - 26. Solve 0 = 2*d - d + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of -13*h**4\/6 + h**2 - 13589*h. Let r be 3\/(-1 + (-15)\/(-6)). Let y(s) = -2 + r + 2*s. Determine w(y(g)).\nAnswer: -104*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 93 = -4*c - 5*b - 271, 5*c - 2*b + 422 = 0. Let x = -606\/7 - c. Let f = -657 + 4607\/7. What is the second smallest value in 0, x, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*2 - (-22 + 20). Let r be 52\/(-10) + (-8)\/4. Let b = r - -241\/30. Sort b, -2, u in ascending order.\nAnswer: -2, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30 + -28 + (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 130760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1002637623 a multiple of 2420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g**4 - 6*g**3 - 264*g**2 - 1056*g - 1152 = 0 for g.\nAnswer: -4, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -o**4*v - 856*o**3*v**2 + o*v + 2*o - 7*v**2 + 564*v wrt o.\nAnswer: -12*o**2*v - 5136*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 228 - 216 = 4*i. Suppose y - 18 = 4*y. Let m be 2\/y*-39 + i. What is the greatest common factor of 48 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 319172.\nAnswer: 2, 7, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 5*q**2 + 3*q + 5. Let d be v(-4). Suppose -d = -5*w - 28. Find the third derivative of -8*b**2 - 3*b**5 - 5*b**2 + w*b**2 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -2*j + 5*h + 9, 2*h = -j - 7. Let v(n) = -5*n**2 + 3*n**2 + 7*n + j*n**2 + 2. Let x be v(-7). Solve -3*y - 5*s + 1 = 14, x*y = 4*s + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y + 9 = 2*k, 69*k - 74*k + 35 = -5*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 516 + 810. List the prime factors of u.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -352, -1358, -3004, -5284, -8192, -11722, -15868?\nAnswer: -20624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l**3 - 25*l**2 - 6*l - 16. Give s(13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3747 is divided by 3747.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 AM and 11:06 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -203*d + 73*d - 520 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (n**2 + 0*n**2 + n**2)*(4 - 6 - 5).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3406524 and 25152.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2b8 (base 12) to base 13\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4249377?\nAnswer: 3, 11, 42923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -113 + -21?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.269512 to three dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of t**3\/3 + 5*t**2\/2 - 24*t + 17. Let d be h(-8). Solve 4*u + 3 - 11 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/78*(-350506)\/3172?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 - 6. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 74038160 divided by -235.\nAnswer: -315056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -11*p**3 - 4*p**2 - 1 + p**3 + 4*p**2. Let s be q(1). Let f = s - -16. Solve 0*u + f = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11\/63 + 8\/(-28). Let x = 16894 + -16893.2. Sort 4, x, v in decreasing order.\nAnswer: 4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 179904020.\nAnswer: 2, 5, 1117, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 202222 (base 3) in base 16?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 3 = 2*j, -256*n + 2*j = -255*n - 9. Let i(o) be the second derivative of -1\/84*o**4 - 9*o + 1\/21*o**n + 0 - 1\/140*o**5 + 0*o**2. Factor i(h).\nAnswer: -h*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1013 + y + 1013 + 23*y**3 as o*y**3 + q*y + w*y**2 + s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -331 or -358?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3985*t**2*w**2 + 62*t**2*w - 2*t*w**2 - 42108*t - 88*w**2 wrt w.\nAnswer: 7970*t**2 - 4*t - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 211312 (base 4) to base 3.\nAnswer: 10022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 78243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2*u - u = 0. Suppose 7*t + 28 = -u*t. Let d be 3\/2 - 70\/t. What is the greatest common factor of d and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 20 = 21*d - 19*d, 3*d - b - 18 = 0. Solve 0 = y - 2*y + k + d, -3*y = -k - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-81 - -95) + (1 - 27) + -13 + -8 + 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9775 + 9775 - 54*v)*((5 - 2 - 1)*(0 + 2*v + 0) - v + 10*v - 2*v).\nAnswer: -594*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3606 + 3605.998377. Round c to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -5. Suppose g*q = 3*o - 4*o + 8, -o + 3*q = -2. Let h(p) be the third derivative of -p**4\/12 + p**3 + 18*p**2. Calculate h(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(605) + 2*sqrt(605) - (sqrt(605) + 0 + sqrt(605) + -2))**2*2*2.\nAnswer: 352*sqrt(5) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 2 u, and 1 g when four letters picked without replacement from ugmrkub?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -141 + 2*x**2 + 65 + 4*x + 65 - x in the form o*x**2 + b*x + y and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 110 = -j. Let h = -38 - j. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (22\/14 - 1) + (-80)\/336?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2195.\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of s**6\/24 - 5*s**4\/8 - 9*s**2\/2 + 3. Let h(i) be the second derivative of v(i). What is the second derivative of h(u) wrt u?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 135*t - 538. Let u be v(4). Solve -4*g - 1 = -3*j - 5, -5*j + 28 = u*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1597 is divided by 159.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13632139 and 51367.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - a0800?\nAnswer: -a07da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 50*r**3 - r**3 - 20*r**3 + (-5*r**2 + 2*r**2 + r**2)*(-17*r + 5*r + 17*r) as q*r**2 + d*r + p*r**3 + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 708 = -1679*i + 1620*i. Which is the third biggest value? (a) -2 (b) -3\/4 (c) i (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 199984 = 2*x + 4*z, x - 49984 = -4*z. What is x rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 - 5*r**2 - 4*r - 6. Let l be m(-4). Let n be (2 - (-14)\/l)\/(2\/18). Let q = 6.04 - 0.04. Which is the biggest value? (a) n (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k - 2*o + 899, 3860 = 5*k + 2*o - 595. List the prime factors of k.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((15\/(-35))\/(7\/(-1)))\/(10020\/5845)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10001001000010111010 (base 2) in base 11?\nAnswer: 353818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*z - 14 + 128*z**2 - 107*z**2 - 14 - 13*z**2 to c*z + g + y*z**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38736833?\nAnswer: 101, 383533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 107, 32, -47, -130, -217?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 + 19*v**2 + 87*v - 17. Give d(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -3 - 7*v + 1 + 7*v + 8*v**2 in the form d*v + j + p*v**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 18, -23, -4, 0.954 in descending order.\nAnswer: 18, 0.954, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 510 by 170.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1706450 divided by 1\nAnswer: 1706450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -115644, -231280, -346894, -462486, -578056, -693604?\nAnswer: -809130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**3 - 8*x**2 + 9*x - 10. Let h(k) be the third derivative of -k**4\/6 - 11*k**3\/2 + 28*k**2. Let i be h(-10). Determine f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/2))**(37\/4)*c**(-3\/7)*c*c*c\/c**(-5)*(c**(1\/2)\/((c\/c**(-7))\/c))\/((c\/(c\/(c\/(c\/c**(2\/7)))))\/(c*c*c*((c**(-1\/3)*c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(1357\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -3. Suppose i*d - 4*g + g - 23 = 0, -5*d + g = -77. Let h = -4 + d. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 AM and 8:08 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 21.98093 millennia?\nAnswer: 219.8093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**(1\/4))**(1\/12)\/(((l**(-13)*l)\/l)\/l**(16\/9)))**(1\/20) assuming l is positive.\nAnswer: l**(2137\/2880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -258 + 510. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17754\/(-538)*(-4)\/(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 373826 + -1?\nAnswer: 373825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -2, -0.1, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**2 + p - 1. Let y(n) = 146*n**2 - 11*n + 6. Suppose 0 = 56*i - 52*i + 24. Let c(b) = i*t(b) - y(b). Solve c(o) = 0 for o.\nAnswer: 0, 1\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 136 divided by 22657\nAnswer: 136\/22657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -15*((-290076)\/(-20))\/(-23).\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - 107.9.\nAnswer: -107.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 11, -2\/3, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 15089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 16*n + 60 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.483 and -0.032108.\nAnswer: -0.015508164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -313, -625, -937, -1249, -1561, -1873?\n\"Answer: -312*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 87134 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3.5 (b) 0.5 (c) -6 (d) -12 (e) -9 (f) 5 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 50 + -45. Suppose -5*t - 2 = -3*t. Suppose -h - 5*f + 1 = -0*h, -13 = 2*h - 5*f. Put w, h, t in descending order.\nAnswer: w, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 45985648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -5.313 to one decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-476)\/(-6) - (-14)\/21. Let d = s + -77. Suppose 2*x = d*j + 365, -2*x - 2*j - 185 = -3*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - (-3*(11 - -4) - -11)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -6296934 divided by -958\nAnswer: 6573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 386, 291, 156, -19?\n\"Answer: -20*b**2 - 35*b + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -14\/787 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does -14 = -542\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 5*n + 18*n**2 + n - 15*n**2 as m + z*n + v*n**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(2299)*2)**2*5*2 - (1*sqrt(171)*1 - (sqrt(19) + 0)*1*2)**2.\nAnswer: 3310541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, 311, 3, 4 in ascending order.\nAnswer: -24, 3, 4, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 20*d - 88 + 88 in the form a + h*d and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the second derivative of j**7\/126 + j**6\/90 - j**5\/10 + j**4\/18 + 5*j**3\/18 - j**2\/2 - 20*j - 10. Factor f(d).\nAnswer: (d - 1)**3*(d + 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*p**2 - 7 - 14*p**2 + 2*p**2 - p**2 + 4 as v*p + q + b*p**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001068 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1\/1*4203\/9 is divided by 130.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**2 - 4*d + 6. Let b be k(-5). Let h(r) = -6*r + 6. Let x be ((-8)\/(-6))\/(1\/3). Let a(f) = f - 1. Calculate b*h(t) + x*a(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*o + 2*o + 4*i + 39, -5*o + 75 = 5*i. Let w = o - -61. What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p - 5*a - 99, -7*p + a + 119 = -3*p. Let c = p - 20. Suppose x - 1 = c. Calculate the remainder when 31 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12.2 - -12. Let s = 1 + 0. What is the closest to 2\/7 in s, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -582 + 582.416. Let s = v - 3.416. Which is the second smallest value? (a) 1 (b) s (c) -1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 1024815*k - 4. Let z(i) = 2*i. Give q(z(l)).\nAnswer: -4*l**2 + 2049630*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g**3 - 12*g**2 - 1490*g + 1500 = 0 for g.\nAnswer: -25, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -20\/483 and 31\/36226?\nAnswer: 17497158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 22, -2, 988, -4 in descending order.\nAnswer: 988, 22, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is sixteen fifteenths of a minute in milliseconds?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(1125) + 1 + sqrt(1125))*3)**2 - (0 + 1*sqrt(125)*2 + -1).\nAnswer: 1070*sqrt(5) + 40537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 + 12*u**2 + 12*u + 1. Let y be d(13). Let t(k) = k + 14. What is the units digit of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - -6. Suppose -n*u - 315 = 5*y, 3*u - 165 = 3*y - 2*u. Let f = -29 - y. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 39 = 3*j, -1 = -3*i + 5*j - 4. Let b be (-15)\/(-40)*4\/i. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -123\/40 and -38\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -326382146.7 rounded to the nearest 100000?\nAnswer: -326400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20212 - 60635\/3. Factor -2\/3*n + j + 2\/3*n**3 + 0*n**2 - 1\/3*n**4.\nAnswer: -(n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/6*2 - 17. Let a be ((-6)\/5)\/((-1)\/r). Let o = 676 - a. What is o rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -4*w + 9, -5*k - 17 - 4 = -w. Suppose 3*l = -w, 0*l + 32 = 2*c + 2*l. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is a378 - 13?\nAnswer: a365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -14*w + 17. Let q(u) be the second derivative of -5*u**3\/6 + 3*u**2 + 99*u. Calculate -4*j(l) + 11*q(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2476, 2473, 2468, 2461, 2452?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let -3*m**2\/5 + 147*m\/5 + 468\/5 = 0. What is m?\nAnswer: -3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 = -5*k - 78. Let v be (-10)\/k + 1016\/10. Suppose 5*h - 3*s + 2*s = v, 4*h + 4*s - 72 = 0. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2632.75 - -2590. What is j rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8929?\nAnswer: 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 15028867.49 to the nearest 100000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -2*b**2 - 100*b + 972. Calculate x(10).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12 + 6. Let k = 5.0441 + -0.0441. Which is the third biggest value? (a) p (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 8 + 9 + -3 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q - 4*h - 34 = 0, -5*h - 142 = -13*q + 3*h - 11*h for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - 0) + 3\/1. Let m be 14\/d - (-6)\/(-9). Let a = -2 - -1. What is the closest to a in -0.2, 1, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -2*m + 10. Differentiate -9 + 44*a**4 - 365*a**2 + 365*a**m wrt a.\nAnswer: 176*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -428140, -428141, -428142?\nAnswer: -428143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.75 - 3.67. What is the third biggest value in b, 5, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + 2 - 2*b - 3 + (3 - 2 + 1)*(-b - 4*b + 3*b) + 0*b + 2*b + 0*b - b + b - 2*b.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/14236 and -95\/56944.\nAnswer: 56944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 45 or 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -2 (b) -1\/25 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 78877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*v + 45 = 18*v. Calculate the remainder when 26 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3410 and 51260?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*y = 13*y - 2*v - 5, 0 = -5*y - 2*v + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/(-18)*3*0. Solve -p - 2 = -y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 - 3*t**2 + 3*t - 1. Let p be r(-4). Suppose -19*i + 16*i = -4*w + 80, -2*w - p*i + 22 = 0. Is 1\/23 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 288938 and -3.\nAnswer: 288935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zggggzzgzgg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r - 3. Let f = 48 - 68. Let w = -12 - f. Let b be g(w). Solve 3*m = b + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -222*j**2. Let w(a) be the second derivative of a**4\/12 + a + 2. What is s(w(u))?\nAnswer: -222*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 50 + (1\/2)\/(6\/(-24)). Let a = -93 + 173. What is the highest common divisor of a and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from {j: 3, n: 1, g: 1, h: 2, c: 3, v: 7}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a*a**(-2\/43)))\/a)\/a**13)**(-49) assuming a is positive.\nAnswer: a**(29400\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 86 and 1634?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -22 - 350. Let w = u - 8. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 730 - 754. What is the units digit of (1461 - 2)*(v + 25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6, 5, -253, 0.2?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eeheeeehethcheehhhc. Give prob of sequence tetc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18329390 is divided by 3054894?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 28 + -16. Find the common denominator of (-175)\/(-110) + z\/(-8) and (-1)\/16*29*2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 - 15*u**2 - 28*u - 4. Give a(17).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 - 10202*l + 3353068. Calculate d(340).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (114*q + 108*q + 84*q - 43*q - 70*q)*(-2*q - 2*q + 0*q).\nAnswer: -772*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 481731135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 13028 (base 12) to base 5\nAnswer: 1312302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*j - 10*j - 10*j - 8*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 50, 0, -17, 1009.\nAnswer: -17, 0, 50, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 + 4*n + 10. Let f be c(6). Suppose -3*t - 5 = -2*r, -5*t = -t + r - 8. Let a = t - f. Solve -3*y = -3*b - 21, -4*b - a*y = 2 + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -3*j**4\/2 - 12201*j**3 - 292086*j**2 - 1020684*j + 9537360 = 0.\nAnswer: -8110, -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 + 360. Let z = -421 - -424. Which is the third smallest value? (a) -3 (b) z (c) s (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = v - 7. Suppose -v = -y - x, y + 4*x - 1 = 15. Suppose 24*m**5 + 4*m - 4*m + 26*m**5 + 8*m**3 - 40*m**y = 0. Calculate m.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5 + (-24)\/240 + (-38)\/20. Is j less than or equal to -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.32 + 1748207.2314.\nAnswer: 1748207.5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1025, -8317, -21863, -41657, -67693, -99965, -138467, -183193?\n\"Answer: n**3 - 3133*n**2 + 2100*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -v - 4*t + 18, 4*v + 16 + 12 = 4*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((2881\/268)\/(-43))\/(5\/40*184\/(-6)).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let q(l) = 25*l**2 - l - 1. Let m be q(-1). Suppose -2*r + 0*r - 2 = -4*i, m = 5*r. What is the remainder when 5 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 168240738?\nAnswer: 2, 3, 17, 1649419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*(52\/2080)\/(5\/(-40))*46\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 137 + 134 - 409 - 2*l + 138. Let z(g) = 39*g**2. Give z(o(c)).\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 494 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 228598 is divided by 45037.\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v**2\/3 - 72*v + 1944 = 0. Calculate v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3324054*h**4 - 351566792*h wrt h?\nAnswer: -39888648*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -210, -199, -150, -39, 158, 465, 906, 1505?\n\"Answer: 4*l**3 - 5*l**2 - 2*l - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 17778401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4600625076 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -254145816 divided by 2.\nAnswer: -127072908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 177 = -21*b + 219 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -4*b - 6. Let y(o) = -5*o - 7. Let s(z) = -z**3 + 14*z**2 - 7. Let n be s(14). Calculate n*h(p) + 6*y(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(1*-2) + 6. Let g(b) = -3*b + 71. Let x be g(24). Let a be 7\/((-210)\/(-95)) - x\/(-6). Solve -a*p = -q*c - 3, -c - 1 - 2 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 3 + 5 = 4*f, 0 = 4*w - 3*f - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:23 AM and 7:34 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the third derivative of 7*h**4\/8 + 4*h**3\/3 + 2*h**2. Let b be 14\/(196\/70) - (-1)\/(-1). What is the tens digit of c(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ogoo when four letters picked without replacement from ggoooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -117) + (-1224 - -1009)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-1)\/o)**(-1\/10))**27\/((o**(-6)\/(o\/(o*o*o\/o**0)))\/(o**(-2\/5)\/o)**(-2\/43)) assuming o is positive.\nAnswer: o**(2909\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 14*l = -17*l + 398, 3*z + 4*l + 17073 - 16840 = 0 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3195*k = -f - 3192*k + 51, 0 = -3*f - 3*k - 63 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-2 - (-4 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 10446450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.47 + 1.4. Let v = 5.07 + o. Let s = v - 0. Which is the smallest value? (a) 3 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = 6*n - 204. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5)\/(636\/(-72) + 8). Solve -5*h + 20 = -5*o, -10*h + i*h + 16 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1\/(-1))\/((-5)\/(-30)). Let l be r*3\/(3 + -6). Suppose 5*p + 9 = -2*n - l, 4*p + 12 = -5*n. Is 3\/49 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -2117 and -2118 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 12512 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the first derivative of r**6\/6 + 2*r**5\/5 - 2*r**3\/3 - r**2\/2 - 2. Find n, given that h(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 192*s**2 - 97*s**2 - 94*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.5 - -0.4. Let j = q - 0. Let g = 0.1 + -4.1. Which is the third smallest value? (a) g (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1978662249 to the nearest one hundred thousand.\nAnswer: -1978700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z**2 - 808*z + 1632 = 0 for z.\nAnswer: -204, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*z + 5*z + 285. Let l = 146 + z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/3 <= 119\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the third derivative of -g**6\/210 - 344*g**5\/105 - 685*g**4\/42 - 228*g**3\/7 + 10*g**2 + 10. Solve r(q) = 0.\nAnswer: -342, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 4*i = 92, i = -1 - 4. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 11079\/60*328\/(-12). Let g(i) = -16*i**3 - 10*i**2 - 8*i. Let s be g(-7). Let l = s + u. Calculate the common denominator of -97\/8 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 + (8 + -7 + -4 - -16)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2905219)\/(-12010)*12\/354?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -86ab + 167?\nAnswer: -8544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 282 - -27?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(45)*-1 - (1 + sqrt(5) + -1)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79*d - 82*d = -156. Solve 0 = -d*f + 51*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -80 by -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80*a**2\/11 - 86*a\/11 - 6\/11 = 0. What is a?\nAnswer: -1, -3\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*o**4 + 1755*o**2*t + 22346*t wrt o.\nAnswer: -20*o**3 + 3510*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 - 6. Let q(y) = y**3 + 39*y**2 + 108*y + 4. Let u be q(-36). What is the first derivative of 3*r + u*r - r + t wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (770\/(-33))\/((-1)\/3). Let s = 112 + q. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the second derivative of -l**6\/3 - 13*l**5\/10 + 1451*l**4\/6 - 2003*l**3\/3 + 570*l**2 - 4262*l. Suppose t(f) = 0. Calculate f.\nAnswer: -19, 2\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(17) + -4 + sqrt(68) + sqrt(17)) + -5)**2.\nAnswer: -168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(63) + (-2*sqrt(49))\/sqrt(7).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c - 8 = -224. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 4*d - 2. Let x(s) = -4*s - 3*s**3 - 7 - 5*s**2 + d*s**3 + s**3. What are the prime factors of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1285, -2821, -4357?\n\"Answer: -1536*h + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -5 - 22*s + 20*s - 13*s as p + b*s and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1436, 419, -2348, -7741, -16636, -29909, -48436?\nAnswer: -73093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 298005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 118327 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: (-55)\/18*7*(-63)\/735 + -2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 209*l - 338. Calculate z(3).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 34*y**2 - 9*y**5 - 34*y**2 + (1 + 3 - 3)*(-2*y**5 - 5*y**2 + 5*y**2) + 3*y**5 - y**5 - 4*y**5 + 2*y**5 - y**4 + y**4.\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*1*sqrt(325) + sqrt(325).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + 1. Suppose v*o - 24 = -5*a, a + 4*o = -0*o + 8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * 0.109\nAnswer: -0.0545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1145 + 2375. What is g rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4687984 and 2128?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35 + 16 + 15 - 3*w + 9 + 18 + 6*w.\nAnswer: 3*w + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of -t**4\/2 - 19*t**3\/2 + 45*t**2\/4 - 7696. Solve u(h) = 0 for h.\nAnswer: -15, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the third derivative of 0*i**4 + 7\/120*i**6 + 7*i**2 + 0*i + 0 + 0*i**3 + 1\/12*i**5. Find the third derivative of o(c) wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/170)\/((-64)\/40). Is 0 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 335, 333, 331, 329?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Do -5265746 and -5265745 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -16 + 3*s - s - 31 + 14 in the form o + k*s and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -26463406*x**5 - 9*x**4 - 8290100*x - 25 wrt x?\nAnswer: -529268120*x**3 - 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 25523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/630*-18)\/(((-60)\/(-154))\/5)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 74.8 - 151.3051361\nAnswer: -76.5051361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 126\/(-288)*10\/(-35)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 1 + 3 + 0 + 2 + 0 + 3 - 4 + 3 - 3 + 0 + 2 + (2 - 2 - 1)*(-1 - 2 + 2) - 2 - 6 + 1)*(3*c + 3*c - 4*c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = j - 3. Suppose -j*g = -16 + 4. Suppose -5*d = g*d - 144. Solve -n = 3*n - d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1314)\/(-72) + 2*1\/(-8). Solve 2*o = u - 1 - 7, -5*o - w = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*b - 755 - 402 - 635 = -b for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4dc (base 16) in base 5?\nAnswer: -14434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.03 * 69\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 14\/241?\nAnswer: 14\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -20.327709 and -9.\nAnswer: 182.949381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (18\/(-12))\/((-6)\/16). Let b(t) be the third derivative of -1\/60*t**5 + 0 + 0*t - 3*t**2 + 0*t**l + 0*t**3. Let j(k) = 14*k. Calculate b(j(h)).\nAnswer: -196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 AM and 2:57 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1\/806 - -2612\/6045. Calculate the common denominator of -77\/276 and h.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/7)\/(130*132\/80080)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -2*p + 434. Let x(v) = 141*v**2. Determine x(k(z)).\nAnswer: 564*z**2 - 244776*z + 26558196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*r - 3418533 = 64*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88 is divided by ((-162)\/36 + -11)\/(2\/(-4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the first derivative of -5\/6*g**6 + 0*g**2 - 2*g**4 + 41\/3*g**3 + 106 + 0*g**5 + 0*g. What is the third derivative of z(i) wrt i?\nAnswer: -300*i**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -197940 by 39588.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (19764\/243)\/(10\/15). Calculate the greatest common factor of j and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(832) - (1 + sqrt(832) + 1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -40*y**2 + 17*y**2 + 40*y + 21*y**2 to the form h*y**2 + o*y + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -18 + 17f00c?\nAnswer: 17eff4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 - 1238*r + 1563. Give t(0).\nAnswer: 1563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 - 54*v - 3891. Let u be z(-41). Solve 20 = -3*m - 5*l, -u*l - 11 = 4*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.75096 centimeters in millimeters?\nAnswer: 37.5096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1014 and 770133.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) 494 (c) -94 (d) 5 (e) 195\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 183639317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 899335 is divided by 1977.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 202411330 (base 5) to base 2.\nAnswer: 11001001100111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c. Let d(q) be the third derivative of 45\/8*q**4 - 10*q**2 + 0*q**3 + 0 + 3*q. What is d(n(j))?\nAnswer: 135*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -27590775 at most as big as -27590776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: ((-60)\/(-2))\/2*(-20)\/190*-38\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -10031510 and 15634.4.\nAnswer: -10015875.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-4))\/(2\/44). Let c(a) = -38*a - 2. Let h(s) = -13*s - 1. Let g(d) = f*h(d) - 4*c(d). Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:38 PM and 9:09 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/3, 9.8, 1, 45258?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**4 + 12221990*g**3 - 24443965*g**2 + 12221980*g.\nAnswer: -5*g*(g - 2444396)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2.53 times -0.125\nAnswer: 0.31625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -278584\/45 - -6190. Let z = 14\/9 + o. Let p = -25.3 - -25. Sort 0.2, z, p in decreasing order.\nAnswer: z, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 230613, 461225, 691837, 922449, 1153061, 1383673?\nAnswer: 1614285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 7 - (-10)\/20*-13. What is the closest to -2\/3 in -6, -1.3, -2, z?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1*15*(-612)\/(-612)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(272)*-1 + 0 + 5*(sqrt(272) + 0))**2.\nAnswer: 4355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 6*o**2 + 2*o**2 - 1 - o**3 - 2*o**2 - 1 - 2*o. What is the units digit of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (855\/(-350) - -4) + (-78)\/1365. What is the nearest to 0.2 in 1, -0.4, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 73704 or 7591474\/103?\nAnswer: 73704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert b82 (base 13) to base 16.\nAnswer: 7ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - -1.8. Let o = 1.5 - 2. Which is the nearest to l? (a) -2\/11 (b) -2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**3 - 7*p**2 - 111*p + 592. Determine r(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -43*x**3 + 7*x - 971 wrt x.\nAnswer: -129*x**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19 + 15. Let g = s - -27. Solve 0 = n + 3*u - 12, -4*u = -g + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1486 - 8941\/6. Let y = -71\/18 - t. Let -y + 2\/9*h**2 + 0*h = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**3 - 12*w**2 + w + 12. Let g = 6 + -18. Let k be r(g). Suppose -3*j = -k*x + x - 66, 5 = j. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 (base 12) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -348 = -8*f - 12. Let x be (f\/(-147))\/(2\/(-14)). Let w(t) = 2*t**3 - 2*t**2 - 2*t. Give w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 4*y + 2. Let x be k(3). Suppose 0 = 4*u + 4*o + 16 + 24, -o - x = 0. Let v be u - -2 - (-8 + 1). Solve -1 - v = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/2*(-72)\/8*(-435)\/(-135).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = z + 10 - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + 14 + 5 - (-1 + (7 - 7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + 2. Let p = -11 - -15. Let i(a) = -a**2 + 6*a - 3. Let b be i(p). Solve -f*s - b*v + 2*v = -10, 6 = s - v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence egn when three letters picked without replacement from nknedgg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 84366\/49 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 PM and 5:22 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 87900 and 45732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 0 - 71 = -2*q, -109 = -3*q - 5*p. Suppose -4*x = -5*o + q, -x = 2*o - 2 - 21. Solve 11 + 9 = -o*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.5, 1716353, 114?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000082 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.04879543719 + 3.\nAnswer: 5.04879543719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**3 + 10*d**2 - 8*d + 7. Let k be z(-11). Suppose -c - l = 105, 5*c - 2*c - 2*l = -290. Let w = k - c. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, o: 2, j: 1, g: 1, h: 1, m: 3}. Give prob of picking 1 m and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 63\/71240 and -12\/715?\nAnswer: 783640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lddllldjddjj. Give prob of picking 3 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 + 9*u + 10. Let p be j(7). Let d be (-2*(-4)\/p)\/(5\/30). Which is the biggest value? (a) -6 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*1*1304\/163.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 199.80928 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 63\/84*8\/1. What is the highest common divisor of h and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**3 + s**3 - 7*s**3 - s**3 + 2*s**3 - 3*s**3 + (-2*s + 3*s + 0*s)*(-5*s**2 + 4*s**2 - s**2))*(-3*s**2 - s**2 + 3*s**2) - 2*s**5 + 6*s**5 - 2*s**5.\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.0218 - -0.0218. Let l = 1925\/2 + -941. Let k = l - 22. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of -4 + 4267*t**3 + 28*t - 29*t + 0. Let v be y(1). What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -18810*m + 707. Is g(-12) 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 235848?\nAnswer: 2, 3, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5, -19, -55, -125, -241, -415?\n\"Answer: -2*x**3 + x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is k in -k**4 - 80*k**3 + 216069*k**2 - 215496*k - 1295892 = 0?\nAnswer: -507, -2, 3, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2\/10717 + 108709\/42868. Let p = -87\/7 + 1997\/168. What is the common denominator of a and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2512.115 to the nearest 10.\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -6\/7, 32284, 2\/37, 1?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -3*a + 2 + 4, -3*l = -5*a + 8. Let b be 211\/105 - (2 - 0). Let k = -62\/105 - b. What is the closest to l in k, 1, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ujujuujjjuuuuujujjjj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddrdrrdddrdrrddrdd.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -2*y**4\/9 - 8*y**3\/9 + 2*y**2\/9 + 8*y\/9 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**2 + y - 170. Let i(m) = -2*m**3 + 15*m**2 + 9*m - 8. Let t be i(8). Let r be q(t). Let b = r - -268. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (96\/144)\/((-6)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 5.341283 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, o: 1, r: 2, g: 9}. Give prob of picking 2 g.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 57, 4, 1, 0, 1\/31 in increasing order.\nAnswer: 0, 1\/31, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2063487, 2063822, 2064387, 2065188, 2066231, 2067522, 2069067, 2070872?\n\"Answer: s**3 + 109*s**2 + s + 2063376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91893 is divided by 413.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 171 divide 2886495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 7. Suppose -o*r = -0*r + 85. Let s = r - -29. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1442 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: What is the second derivative of 5*d**4 + 621*d**2 - 14298*d - 1 wrt d?\nAnswer: 60*d**2 + 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of 0 + 0*x**3 + 1\/4*x**4 + 0*x + 14*x**2. Let m(q) = 3*q. Let o be -7*1 + (1 - 3). Calculate o*m(j) + 4*s(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - ((-546045)\/(-24780) + 4\/(-14))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -769*d - 3*d**3 - 1512*d - 5988831*d**2 + 5988831*d**2 as w*d + o*d**2 + y*d**3 + q and give w.\nAnswer: -2281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -31.29477 and -5?\nAnswer: 26.29477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2370309 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t**2 - 28*t - 37. Let i be h(-4). Factor 18*m - 149*m - 5*m**3 + 8 + i*m - 58*m**2 - 10*m**3 + 36*m.\nAnswer: -(m + 2)**2*(15*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000178011952 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5*(-5)\/((-50)\/44) and (6 + -5)\/(7\/196).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -0.0023003, 2\/3.\nAnswer: -0.0023003, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 2:40 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.06609476665 and -12440?\nAnswer: 12440.06609476665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4334, -17340, -39026, -69398, -108462, -156224, -212690, -277866?\nAnswer: -351758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -386, -383, -378, -371, -362, -351, -338?\n\"Answer: s**2 - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -10. Let z = j + 4. Which is the second smallest value? (a) 2\/9 (b) -12 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1878 + 1893. What is the remainder when 867 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8113 and 402.\nAnswer: 3261426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1344 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -26 - -21.6. Let f = -4 - y. Let u = f + 0. Which is the third biggest value? (a) u (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.57? (a) -3 (b) -310 (c) 5\/2 (d) 0 (e) -7 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -5. Let g = -18.6 - -19. What is the third smallest value in 1, r, 0.06, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p. Let a(l) = 2*l**2 + l - 4. Let s be a(3). Let g(x) = -8*x**2 - 17*x + s*x. Let h(k) = 9*k**2. Let v(n) = -7*g(n) - 6*h(n). What is v(i(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes after 6:08 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14067454 to the nearest integer?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuxx when four letters picked without replacement from uxxuuuxuuxxxx.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 2663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.885 rounded to two decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2572?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, e: 2, p: 7, w: 2, h: 1, s: 1}. Give prob of sequence hc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 2, 0.5, -5\/27 in descending order.\nAnswer: 2, 0.5, -5\/27, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10162\/53 + 192. What is the biggest value in 1, g, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 18 + 11)*(-2 + 3 - 7)*(0*j**5 - j**5 - 3*j**5).\nAnswer: 72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 2*y**2. Let p(x) = -x**2 - 3*x + 1. Let v be p(2). Let l be 4\/((-12)\/v) + 0. Let k(q) = q - q - l*q. Calculate k(f(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -88*u - 125. Let m(l) = 7*l + 10. Let i(w) = 2*b(w) + 25*m(w). Let k(z) = -6551*z - 2. Determine i(k(s)).\nAnswer: 6551*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -23547 divided by -3243\nAnswer: 167\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -6*sqrt(180).\nAnswer: -36*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -32.3 - -32. Let d be 28\/105*(-6)\/(-5). Let w = d + -13\/25. Which is the closest to w? (a) v (b) -4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -12 - 0. Suppose 0*s + 30 = h*s. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 966 + -0.5.\nAnswer: 965.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 98, 285, 592, 1013, 1542, 2173, 2900?\nAnswer: 3717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 997 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 30450, 60883, 91304, 121707, 152086, 182435, 212748, 243019?\n\"Answer: -u**3 + 30440*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 90 minutes after 6:04 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671963 is divided by 205.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -7818*o*y**4 + o - 130*y**4 + 2*y - 710187 wrt y.\nAnswer: -31272*o*y**3 - 520*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 189595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-3*(2*sqrt(832) - sqrt(832)))**2*-2.\nAnswer: 44928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + -116 + 145 + -50.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 + -17)*1*2\/(-6). Let f be (-30)\/(-7)*434\/93 - (-1 + 7). Let n(m) = 4*m + 3 + 0*m - 6*m. Let l(c) = 4*c - 7. What is a*l(t) + f*n(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -782.68435958 - 3.62982942. Let j = d + 0.765189. Let h = j - -786. Round h to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 = -3*f + 52*g - 56*g, 0 = -2*f + 4*g - 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + (-5)\/90*-6. What is the third biggest value in m, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-63)\/210)\/((-393)\/4978).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -4*g**2 + 3 + 3*g**2 + 0. Let k be a(4). Let b = -8 - k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 547999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -z**2 - 25988*z - 168844036 = 0.\nAnswer: -12994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1049\/504 + -302\/63. What is the common denominator of g and -79\/620?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1*-2*sqrt(98))**2 - ((-4*-1*sqrt(14))\/sqrt(7))**2*6.\nAnswer: -84*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 3:15 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -53708*f**2 - 5813*f + 1 wrt f?\nAnswer: -107416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 419 - 420. Suppose -u = -f - 44, 249 = 5*u - 2*f + 35. Let y = j + u. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9114996*h**3 - 4*h**2 - 12*h - 444 wrt h.\nAnswer: 54689976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z + 32. Calculate the remainder when o(6) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1670640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*z - 15*z - 15*z + 82440 = 0. What are the prime factors of z?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 0 + -1 + (4 - 1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 88 - 0. Calculate the lowest common multiple of 9 and l.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28 + 1018*v**3 - 638*v**3 + 5338*v**3 - 28.\nAnswer: 5718*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1168, -2348, -3542, -4756, -5996, -7268, -8578?\n\"Answer: -w**3 - w**2 - 1170*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*o = 58*o - 1500. Calculate the greatest common divisor of o and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from {z: 2, j: 2, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19976 and 681?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.08 * 84.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 129418613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 84922, 84937, 84952, 84967?\nAnswer: 84982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 70709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 4*s - 75. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 + 6*c - 11. Let u be x(-7). Let y be (9 - -2)\/((-4)\/u). What is the highest common divisor of y and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3 from 291.61.\nAnswer: 294.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 6, c: 1, j: 4, y: 5}. What is prob of sequence cjj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 10108589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 9\/7 (c) 1\/8 (d) 11\/3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3236\/7 + 462. What is the closest to d in -0.1, 0, 3\/2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4*((-5)\/(-14))\/((-651)\/(-3038)*(-8)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 287267?\nAnswer: 103, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1045 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 22*l**2 - 2*l + 1. Let q be p(1). Suppose 0 = 3*n + 6*t - 5*t + 3, 3*n = 5*t - q. Let r(k) = 2*k**3 + 3*k**2 + k. Calculate r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 31 = -2*n, 4 = 4*n - y - 13. Solve -r - n - 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7920 divided by 80?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 104 + 0 + t - 37 + 43.\nAnswer: t + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/43381 + -2254710\/23902931. What is the common denominator of p and -19\/87?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -432 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1036437240 divided by 534246?\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 + 13*l - 8. Let b be n(13). Let u be 60\/b*2\/(-3). Solve 0 = -4*k - u + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 525 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(3146)*2 - sqrt(3146))\/(sqrt(18)\/(3*sqrt(9)) - sqrt(2)).\nAnswer: 99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12778.70233052198 + -116120154.30231322198. Let n = -116107583.6 - o. Let d = n + 208. What is d rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112983425.\nAnswer: 5, 4519337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 25*l - 70*l - 1 + 1 in the form f + v*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -54, 2, 2\/3, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -36, -74, -140, -234, -356, -506, -684?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 145305 and 2976.\nAnswer: 144142560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 78 + 0*(-1)\/(-4). Suppose 7*h - 109 = 255. Calculate the greatest common factor of w and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -6*z. Let c(p) = 2*p**2 + 3*p. Let a(j) = j + 0*j + 6*j + 5*j**2. Let q(d) = -6*a(d) + 14*c(d). Calculate q(o(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z = 9*z. Let m be z\/(-2) - 29 - -3. Calculate the remainder when (-2)\/(-13) + (-542)\/m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-783)\/10962)\/((1 - 9\/3)\/21).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 30666534217 to the nearest one hundred thousand.\nAnswer: 30666500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -125*k + 1829 = -671 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*g**2 + 4*g**2 - g**2)*(2*g - 17*g + 34*g) to p*g**2 + x*g + t*g**3 + q and give t.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 24674436107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 294073459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8866207227 to the nearest integer?\nAnswer: 94161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4023 and 150?\nAnswer: 201150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of -m**6\/8 + 23*m**5\/60 - 34*m**2. What is the third derivative of o(x) wrt x?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.316 and 0.1.\nAnswer: 1.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 2026*m**2 - 5*m + 12. Let o(q) = -3*q**2 - 2*q + 2. Calculate j(p) - 5*o(p).\nAnswer: 2041*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1548 and 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from {q: 1, f: 3, y: 2, r: 1, z: 6}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 354 - 0?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - 1.1. Let t be (-46)\/((-10948)\/(-8262)) + 35. Sort w, t, -0.12 in ascending order.\nAnswer: w, -0.12, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 108652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o + 13. Suppose 3*p = 17 + 10. Let f be b(p). What is the second biggest value in -2\/15, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27641?\nAnswer: 131, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18 - -58) + (0 - 4) - 21?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -14 + 20 + 0 + -8 - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 5*m - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from trgg. Give prob of sequence trrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -204*c. Let o(q) = -q**2 + 6*q - 6. Let x(b) = -b**2 + 7*b - 7. Let s(g) = -7*o(g) + 6*x(g). What is v(s(l))?\nAnswer: -204*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -27 + 26.78. Let n = k + 1.22. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**3 - 2*c. Let a = 4 - 0. Suppose 0 = -a*r + 4, 2*m - 3 = -r + 4*r. Let z(j) = 4*j**3 - 4*j + j**3 - 7*j**m + 9*j. What is -5*w(b) - 2*z(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 89482178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 26 = -4*q, 383*z = -2*q + 385*z + 4. Solve q*i + 5*x - 5 = 9*i, 5*x = 3*i + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(1*-6*(2*sqrt(1216) - sqrt(1216))**2 + 5).\nAnswer: 7291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 8 = -5*k, 6 = 3*k - l - 0. Calculate the smallest common multiple of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, i: 1, k: 2, f: 1, s: 3, u: 1}. Give prob of picking 1 s and 1 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -707 (base 16) to base 3.\nAnswer: -2110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(15\/(-20))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6968981 minutes in seconds?\nAnswer: 41.813886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5895 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - -212?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 16*h**2 + 3*h + 2. Let p = -8 + 13. Suppose 25 = p*b + 2*n - 0*n, 0 = 3*b - n - 4. Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 87*j**3 - j**2 - j + 1. Let k be o(1). Suppose 2*v - 82 = -2*y, -y = v + v - k. Calculate the highest common divisor of v and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + r + 5 = 0, 13309*r - 1 = l + 13312*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 52\/1513 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5\/1851 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 266094 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/2 + (-513)\/(-18). Calculate the highest common factor of s and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.08 - 1.08. Which is the third biggest value? (a) 5 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 294828878 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -a - 3*b, -4*a + 0*a - 3*b = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-11\/3)\/(d\/(d\/d**(-8\/9))) assuming d is positive.\nAnswer: d**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, -0.04, -1 in decreasing order.\nAnswer: 36, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 953512 and 408648.\nAnswer: 2860536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 30, 57, 90, 129, 174, 225?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -3*z - 3*w, 22 = -4*z - 12652*w + 12654*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = g - 15, 0 = -2*p + 3*p + g. Suppose 0 = 2*a + 3*k - 144, 0*k = -2*a - p*k + 148. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 2, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-19 - -15))\/(-63)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 57.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 PM and 7:51 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*k + 1 = 2*g + 22*k, 4*g - 7*k = 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -0.0894361?\nAnswer: 0.3577444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vzuovgg. Give prob of sequence vu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 6*n**2 + 42952*n - 85904. Determine p(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 11133000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n + 11 = -s, 5*s - 11*n + 10*n = 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the second derivative of -n**3\/6 - 658*n. Let d(c) = 7*c - 4. What is 6*a(y) + d(y)?\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1303768 and 4904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 0.1, 105\/4, -0.06, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + q = t - 3, 2*t = 3*q - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/11947122 and 40\/297.\nAnswer: 11947122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of 9*g**3\/2 + g**2\/2 + 5*g. Let y(p) = -13*p. Let s(f) = -6*q(f) - 13*y(f). Find the first derivative of s(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1331*x - 14641\/4 - 11*x**3 - 1\/4*x**4 - 363\/2*x**2.\nAnswer: -(x + 11)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) -402 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**2 + 4*o + 3. Let s be d(-4). Factor 27*v + s*v**4 - 6*v**3 - 24*v - 5*v**2 - v**2 + 3*v**5 + 3.\nAnswer: 3*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -6*(sqrt(36) + sqrt(2304)*2)\/sqrt(12).\nAnswer: -102*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 108 + 186. Suppose -10*f + t + 286 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-35)\/(-126) + 0)\/((-75)\/(-45)). What is the closest to 0.04 in c, 0.09, -5, -1\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 133 - 191. Find the common denominator of (-1 - (-90)\/88)*w and 77\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1859579 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -647 - -1097. Calculate the greatest common factor of 50 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 3 - 8*b - 9*b - 2 + 6*b. What is the remainder when x(-2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = 2*x - 8, 0*x = -x - 2*u. Is x\/(-6) - (-8452)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52*w + 37951 - 37951.\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, -2, 0.3, 170, -4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 3*c + 3*d - 5 = 0, 0 = 4*c - 3*d - 20. Suppose 14 + 6 = -5*s - c*g, 0 = 3*s - 5*g - 12. Let h be 26\/8 + -1 - 2. Is h > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40*5\/80*(-7)\/(70\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001727 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 + 2)*(-18 + 9 - 18)*(1 - 1 - 2*x).\nAnswer: -108*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 128 divided by -2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14\/5? (a) -1\/7 (b) 236 (c) 2\/5 (d) -0.5 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -1. Let r(c) = c - 1. Let u be 1*(-3)\/(-5) - 56\/35. Let z(i) = i**3 - i**2 - 2*i + 2. Let o be z(2). Give o*r(f) + u*d(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -3*s**2 + s + 6. Let k(o) = 6*o**2 - 2*o - 11. Determine 3*k(i) + 5*r(i).\nAnswer: 3*i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-9)\/6*4\/3. What is the smallest common multiple of a\/(-6) - (-118)\/6 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6627158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 16857\nAnswer: 1685.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/10, 4\/13, -0.1, 276, -16.\nAnswer: -16, -3\/10, -0.1, 4\/13, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 - 0 - 72\/(-42). Which is greater: u or -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 56.709103 to one decimal place.\nAnswer: 56.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - 335515?\nAnswer: -335515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -222*w + 239*w = 102. Let b(j) be the first derivative of 23*j**3\/3 - 23*j**2\/2 - 11*j - 2. Let y(c) = 8*c**2 - 8*c - 4. Determine w*b(a) - 17*y(a).\nAnswer: 2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dvv when three letters picked without replacement from {q: 8, d: 1, c: 4, r: 1, v: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -2064149400 rounded to the nearest one million?\nAnswer: -2064000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = 10*n - 4, 0*t - 2*t = 2*n + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-5)\/o**(1\/2))\/(((o*o**(-4\/9)\/o*o)\/o)\/((((o**(-2)\/o)\/o)\/o)\/o*o)) assuming o is positive.\nAnswer: o**(-181\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 37645146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n**3 + 5*n**2 + 5*n + 5. Suppose -3*m = -10 - 5. Suppose 0*h + m*h = 5. Calculate the lowest common multiple of h and w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the third derivative of o**6\/360 + o**5\/120 + o**4\/12 - o**2. Let b(g) be the second derivative of z(g). Determine b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 54*z - 44*z**4 + 108*z**4 - 38*z**4 wrt z?\nAnswer: 312*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 793 = z + 5*y - 3522, -20 = -4*y. Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/19 in 1\/2, 0.1, -382, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -3 + 23. Suppose -6*k + 2*k + 3 = -g, x*g - 4*k - 1 = 0. What is the lowest common multiple of ((-5)\/(-4))\/(7\/56) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2709, -2711, -2713, -2715, -2717?\nAnswer: -2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.0025919 millimeters?\nAnswer: 0.0000000025919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 + 5*i + 1. Let r = -7 + 3. Let h be ((-4)\/(-8))\/(1\/r). Calculate d(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.1 + 2. Let j = 11323 + -11323. What is the closest to g in -0.01, j, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-3) + (756\/(-891))\/(-1). Factor 2\/11*n - q*n**2 + 2\/11*n**4 - 2\/11*n**3 + 0.\nAnswer: 2*n*(n - 1)**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -527 (base 13) in base 12?\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 64 (b) 3\/53 (c) -0.3 (d) 2\/15 (e) -34\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 3\/4 (b) -2\/9 (c) -0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 286707753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**3 + 6*f**2 + 2. Let k be q(-6). Suppose -5*t + 3 = -k*t. Suppose -s - t = -4. Solve 0 = 2*d + 11 - s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -129, -235, -291, -267, -133, 141?\n\"Answer: 5*d**3 - 5*d**2 - 126*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y - y + 4, x - 2 = y. What is the lowest common multiple of ((-4)\/(-4))\/((-2)\/(-4)) and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*6621.95\nAnswer: -19865.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1060 + 1061. Let i be ((-3)\/5)\/(-1 + 4). Which is the nearest to i? (a) -4\/5 (b) 0.3 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 98*((-18)\/21 - 0). Let a be 32\/z + (-2)\/(-3). Let u = 11 + -52\/5. Put 4, a, u in decreasing order.\nAnswer: 4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 318 + -312. What is the remainder when 29 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22300 divided by -10?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from fuuufjxllxdf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * -0.01865954.\nAnswer: -0.00932977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8268, 16539, 24808, 33075?\nAnswer: 41340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2 + 5*z - 5. Give f(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -26*l**2. Let o(p) = -16*p + 8*p + 9*p. What is j(o(f))?\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 286 and 0.1.\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sum 2891085 and 40.\nAnswer: 2891125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -19372 and 1417 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 106*h**3 - 100*h**3 + 1 + 0 with respect to h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of 0*p**4 + 10\/7*p**7 + 0*p**5 + 0*p**2 + 0*p**6 + 0*p + 2*p**3 + 1. Find the third derivative of b(w) wrt w.\nAnswer: 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h**(2\/5)*h)\/h)\/h**7*(h*(h*h\/(h**7*h))\/h*h)\/h*h**(3\/8)\/h assuming h is positive.\nAnswer: h**(-489\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y**2\/7 - 2*y + 396\/7 = 0. What is y?\nAnswer: -18, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 1*2*sqrt(3))*-3.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1963 and 11453?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**2 - 15*c + 26. Let s be m(13). Let a be (-11)\/((-77)\/28) + -7. Is s at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 497005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(7) - (sqrt(7) + 3 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -4. Let p be a + (-2 - -2) + 1. What is the third derivative of 3*v**3 - 3*v**3 - p*v**5 - 2*v**2 wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6*(-2 - (-2)\/(-4)*-3). Let n(t) = -t**2 + t - 2. Give n(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 7686 = 7*l - 2*n, -2*l = -4*n + 3852. Does 8 divide (4\/(-8))\/(-4 - 7675\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, f: 1, p: 1, k: 1, i: 1}. Give prob of picking 1 i and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*o - 170 = -4*o - 3*g, 7*o + 5*g + 135 = -26*o + 1577 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 11*j + 32. What is the closest to -0.03 in -2, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*b - 15*b**2 - b - 14*b**2.\nAnswer: -29*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y + 3. Let h be k(7). Let r = h + 5. Let l(p) = 7*p**2 - 3*p**2 - r - 2*p**2. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of c**3\/3 + 7*c**2\/2 - 20*c - 55. Let z be q(3). Solve b = -b + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 53 - 74. Let w be 4\/((2\/7)\/(p\/(-49))). Suppose -w*u + 69 = 9. Solve 3*k + 2*k - u = 0, 0 = -5*s - 5*k + 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 356620.\nAnswer: 2, 5, 11, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqrqrrquuquququuuq. What is prob of picking 1 r and 2 q?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1575*s + 25*s = 96602 - 1983 + 79781 for s.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70 divided by -1894.\nAnswer: -35\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are -284 and -1979\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (10 + -7 - 4)*-5. Suppose -3*k = -4*x - 28, -2*k - k + 3*x = -27. Solve m - 8 = -4*i + 3*i, -3*i + t*m - k = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, 12, 40, 86, 156, 256?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -55*y + 6. Is i(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:37 AM and 11:33 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1\/(-3) + 1974\/63?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u - 12. Let b(i) = -i - 12. Determine 3*b(q) - 4*j(q).\nAnswer: q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 48, -7, -3, 1 in increasing order.\nAnswer: -7, -5, -3, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.020178 centuries to months.\nAnswer: 24.2136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 3*s = -2*k + 6, -2*k + 2*s = 6. Let z(q) = -1 - 13*q**2 - q - 12*q**2 + 20*q**2. Let p(x) = -11*x**2 - 2*x - 3. Give k*p(o) + 7*z(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 7 = -1. What is the second derivative of -w**h + 12*w**3 - 4*w - w**3 wrt w?\nAnswer: 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1409.3856 months in decades?\nAnswer: 11.74488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-10 + 780\/75)*315\/14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1 - 1 - -1 - (-6 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/((-1*sqrt(40) - sqrt(40))\/sqrt(5))*2)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**3 + 8*n**2 - 5*n + 7. List the prime factors of w(5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 17*(3 - (-9)\/(9\/(-4))). Let m(w) = -w**3 - 16*w**2 + 20*w + 25. Let t be m(p). Put t, 2\/13, -1\/3 in decreasing order.\nAnswer: 2\/13, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + -13 + 34 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0461 rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 - 7. Suppose 2*w = -z*w + 3*b - 8, 2*b = 2*w. What is the remainder when 27 is divided by 7*2 + (w - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26 - -17. Let i = -14.5 - b. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/10 + (-515)\/(-25). Let p = l + -13. Let j = 10 + p. Is 18 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 36*c**3*x**3*y + 3*c**3*x*y + 2*c**2*x + 10*c*x**3 - c*x + 171*y wrt x.\nAnswer: 216*c**3*x*y + 60*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1011 (base 2) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -42 + 75. Suppose 3*i = -397 + 130. Let q = i - -100. Calculate the greatest common divisor of f and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47151170 a multiple of 5690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/112096 and -23\/2.\nAnswer: 112096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes before 7:30 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 8*b**2 + 5*b**2 + 6*b**2)*(-4 + 1 - 1).\nAnswer: -12*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3332 and 47719.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 431142*w**3 + 390920*w**2.\nAnswer: 2586852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, -6, 6, 0 in increasing order.\nAnswer: -6, 0, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 32 - 25 + 2*z + z**4 - 8 + z**4 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of c*h*l - 2*c*h - 4*c*l**4 - 12659*c*l**3 + 198*c*l - 3*c + 6*h*l**2 + h - 128 wrt l?\nAnswer: -48*c*l**2 - 75954*c*l + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**2 + 13*y - 15. Let w be 3\/(-8 + (-16167)\/(-2022)). Let l = w + 685. Determine s(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fp when two letters picked without replacement from fpdufuk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from yyipiiiiipgii.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -8258?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3249*i**2 - 7*i + 19. Let p(x) = -x**2 - 17*x - 70. Let u be p(-9). Is v(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 806158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -0.5, -2, 0.5 in descending order.\nAnswer: 0.5, 0, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*t - 133*t - 138 = 0. Let k = 4.06 - 4. What is the third smallest value in t, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**3 - 4*k**2 + 64*k + 64.\nAnswer: -4*(k - 4)*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 39225*w + 314048. Calculate u(-8).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 74*(-6 - -62)\/7 + 6. Solve m*k = 602*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 - 464*x - 13456.\nAnswer: -4*(x + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 46 - -52. Let d(k) = -k + 6. Let h(r) = 1. Let w(u) = d(u) + 3*h(u). Let a be w(-5). What is the greatest common factor of t and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -h + 21, -c + 2*h - 6*h = 21. Let x(k) = -2*k - 6. Determine x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 7 + 3. Suppose -5*n + 20 = -f*n. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k + 2. Is 3 a factor of u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1325 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(-4) + (-38)\/(-4). Let z = -2755 - -2750. Which is the third smallest value? (a) v (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (1 + sqrt(847) + 2 + sqrt(847) + 0)**2 - (-3*(sqrt(847) - (sqrt(847)*-1)**2) - (3 + (-3 + sqrt(847))**2)).\nAnswer: 99*sqrt(7) + 1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -28\/9 (b) 29036 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -168*p + p**2 + 2 + 168*p to the form u + q*p + w*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 68037909 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -2*(17 - 1531)*87\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -127*h - 104 = -153*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (-18 - -5 - (-3 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60*x**3 - 66*x**3 - 717*x**2 + 716*x**2.\nAnswer: -6*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*(r*(r\/r**8)\/r)\/r*r\/(r**(-2\/17)*r*r)*(r*r**(2\/31)*r)\/r**6 assuming r is positive.\nAnswer: r**(-6228\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-70)\/(-1)*(-2)\/4*-1. What is the remainder when (370\/j)\/(-2)*-7 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -8, 3, -1, -0.4, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 28 = -482815*p + 482819*p, -p + 3*t = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3956604 or -3956690?\nAnswer: -3956690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4540068 is divided by 4196?\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 2828735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-189)*-7)\/((-4)\/(-12))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llvllllvllll. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 119 a factor of 217587930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 6*q - 2. Let z be n(-1). Let o be (150\/z)\/((-4)\/(-16))*-1. Suppose -o*x + 72*x + 246 = 0. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4\/(-6))\/((-6)\/72). Suppose 0 = -3*x - 4*w - 5, -a = -2*x + 4*x - 2*w. Let d be 3*1\/(30\/x). Is d less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -660\/7 (b) -2\/7 (c) -5 (d) 2\/7 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -21*y**3 + y**2. Let w be z(-1). Let p = -1 + w. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - 6 = 2*f, 1035 = 4*f - 3*d + 1047 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 481 divided by -338?\nAnswer: -37\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 1 = 8. Let x(a) = 13*a - 2*a**2 + 9 - 3*a + 3*a**2. Let q be x(f). Solve q = 2*o + 3*o - 3*t - 12, 3*o = -3*t + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*a - 2*a. Find the third derivative of 0*k**3 - 5*k**2 + 0*k**a - 3*k**4 + 11*k**2 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**2 + 19*y + 68. Let a be i(-3). Let v(c) = c**3 + 3*c**2 - 2*c + 1. What is v(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 16*l**2 - 33*l - 65. What is h(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4579355 and -1.2.\nAnswer: 5495226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2. Let p(v) be the third derivative of -v**5\/20 + 5*v**3\/6 - 2*v**2 - 12*v. Determine c(p(x)).\nAnswer: -9*x**4 + 30*x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j - p - 9 = 0, 3*j - 22*p - 597 + 587 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -38 - -37.05. Let k = -0.9499949 - w. Round k to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**3 - 3*x**2 + x - 4. Let d be u(-4). Suppose -d = -2*y + 3*p, 4*p - 14 = -6. Let z = -4 + y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 219 divide 21107807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, t: 2}. Give prob of sequence fff.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 24 (base 5) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5550713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 + -1624?\nAnswer: -1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 3*r**2 - 267*r + 4762. Determine h(23).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -24274340 minus 5?\nAnswer: -24274345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1204 - -24000010?\nAnswer: 24001214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 1, m: 3, i: 4, n: 1, p: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2905 - 772731\/266. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -6\/5 (b) 47\/263 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.39? (a) -1 (b) 13 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 1687 = 1691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1331932*l + 115374 = -1330994*l for l.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 90 - 88. Suppose z*u = 80 + 352. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1354550 and 1354622 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*u + 3 + 15 = 0. Let g = 34 - 9. Calculate the lowest common multiple of u and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 491862 by -7.\nAnswer: -70266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43230 + 47784. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 40, 41, 50, 73, 116, 185, 286, 425?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1301\/15 + 457\/5. What is the third smallest value in 9, 1\/3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-36)\/9*((-165)\/3 + 2). Suppose l + 3 = n. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ialllaalillilala. What is prob of picking 2 l, 1 i, and 1 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 5:58 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5\/11 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 - -68?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -394*v + 389*v = a, 0 = -99*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 7 + (24\/(-64) - (-138033)\/24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 285 and 10481901.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 4 - 2)*(-595 + 67*t + 595) - 2*t + t - t.\nAnswer: 534*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(99) + sqrt(99) + -4 + sqrt(99) + 0 + 2*(-2 + (sqrt(11) - (sqrt(11) + -2)) + (-2*sqrt(110))\/sqrt(10)))**2.\nAnswer: -60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 449 - 449.98. Which is the biggest value? (a) 0.2 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**1)\/(g\/(g*((g*g\/(g*(g\/(g*g**(-2\/35))*g)\/g*g))\/g)\/g*g)))\/(g**0\/g)**33 assuming g is positive.\nAnswer: g**(1118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -117*a**2 - 2. Let o be f(1). Let d = o - -149. What is the smallest common multiple of 30 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(81)\/(1*sqrt(48)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve s - 3*w + 22 = 0, -2*w = -2*s - 93 + 65 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -138 + 146. Suppose 3339 = n*v + v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10143949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -59*i + 27. Let p be a(-7). Suppose 0 = 7*f - 358 - p. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 + 8*r**2 - 24. Let t be d(14). Let f = t + 6003\/5. Determine k, given that f - 9\/5*k + 6\/5*k**2 + 3\/5*k**5 - 9\/5*k**4 + 6\/5*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 424*i**3*w**2 - 41*i**2*w**2 - i**2 + i*w**2 wrt i?\nAnswer: 2544*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2061 - 2057. Sort -69, 3\/7, w in increasing order.\nAnswer: -69, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2 + 7\/6*d + 1\/6*d**2.\nAnswer: (d + 3)*(d + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -8 + 11 - (-4)\/528*-40642. Let v = -923\/3 - f. Calculate the common denominator of ((-11)\/3)\/(68\/6) and v.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-3)\/2)\/((-6)\/(-8)). Let g(k) = -23*k. Let t(x) = 8*x. Let n(d) = -3*g(d) - 8*t(d). Calculate n(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 111\/14674 and -197\/880440.\nAnswer: 880440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 9336887 - 60?\nAnswer: 9336827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27678348?\nAnswer: 2, 3, 85427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 51 - 51.00172. What is l rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 5*z + 10 = 0, 2331*z + 2 = 5*x + 2332*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 532607051 to the power of 1\/2, to the nearest integer?\nAnswer: 23078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 92210 - 92033. Let q = 114 + 33. Suppose w + q = 4*k, -3*k + 4*w + 0*w = -120. Calculate the remainder when h is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 5*u - 8 = 0. Let v be 1\/(u - 3)*4. Suppose -2*g - 22 = -7*g - v*i, -i + 13 = 5*g. Solve 5*q - 30 = 4*n, 16 = -5*q + 8*q - g*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1383782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -197.07*0.4.\nAnswer: -78.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-5)*(15\/(-4))\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from mjqbr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 671664.\nAnswer: 2, 3, 7, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 6 (b) 0 (c) 1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/13250 and 13\/2?\nAnswer: 13250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 181, 163, 125, 61, -35, -169, -347, -575?\n\"Answer: -r**3 - 4*r**2 + r + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 2*r + 5. Let z be n(-7). Let l = -5 - z. Solve -4*h = -l*o + 3*o - 21, 5*o - 3*h = -37 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes after 10:39 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 7 + -cd?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4 - (-6 - -3) - 36\/(-4). Let g(j) be the first derivative of -j**2\/2 + 3*j - 542. Give g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14*d**4 - 71528*d**3*s**3 + 3133312*d**2*s**3 + d**2*s**2 wrt d?\nAnswer: 336*d - 429168*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-14)\/120 + 3\/12. Let n(t) = 2*t**2. Let l be n(1). Let p be (l\/20)\/(3\/(-6)). What is the third smallest value in p, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -36628807 not equal to -36628793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/u**(1\/12)*u)\/(u**1*u)*u**(-4\/11)\/u**(1\/6) assuming u is positive.\nAnswer: u**(17\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 780 is divided by 62.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -n + 11, 3*w - 7 = -0*n - 5*n. Let k be (-8)\/(-10)*(4 - n). Round k to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.3 + 2.7. Put j, 7, 1 in descending order.\nAnswer: 7, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1372 divided by 7.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.4*2.56\nAnswer: 1.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**2\/3 - 85*m\/3.\nAnswer: -m*(m + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/58061007 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*d**2 + 4*d**2 + 15*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2*(-2)\/6 + (-169)\/39. What is the nearest to -4 in x, -2, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 + 2*a**2 - a. Let i = 1 - -1. Let x be j(i). What is the common denominator of x\/(-30)*(-1975)\/(-10) and 51\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 15 = d - 3, 0 = -d - 3*k + 13. Let a = 10.26 + 1.14. Let y = 11.1 - a. What is the closest to 6 in 0.5, y, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 45160830*m**3*x**3 - 2*m**2*x**3 - 14935*m*x**3 - 9*x wrt m.\nAnswer: 270964980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 33 - 301?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t**3 + 12*t**2 - 10*t - 4. Let u be k(11). Let l(p) be the second derivative of 7*p**4\/4 - 5*p**3\/3 + 17*p**2 - 50*p. Is l(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*1*(1 + sqrt(76)).\nAnswer: -12*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p**3\/3 + 3007*p**2 - 31595*p\/3 + 4514 = 0. Calculate p.\nAnswer: -4514, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1385778?\nAnswer: 2, 3, 71, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 194.559 - 210.85964. Let f = j - -13.7. Let i = f + 2.6. What is i rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of -w**2 - 21. Let k(q) = -2*q. Determine 4*k(v) - 5*u(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -19c + 2?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.408075 take away 9926?\nAnswer: -9925.591925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - 2. Let a = 7 + n. Suppose -a*j = -3*t + 137 + 80, 2*t - 154 = j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9899.123 decades to years.\nAnswer: 98991.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5941977.\nAnswer: 3, 1980659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 205651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**4 + 100*k**3 + 55*k - 2. Let n(j) = 2*j**4 + 202*j**3 + 111*j - 5. Let u(o) = 5*c(o) - 2*n(o). Find the second derivative of u(q) wrt q.\nAnswer: 12*q**2 + 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q**3 + 12*q**2 + 14*q = 0. What is q?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2979 + 2971. Let m(o) = 9*o + 2*o**3 - 5 - 3*o**3 + 3*o**2 + 16 - 10*o**2. Calculate m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 144 = -8*r + 80 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 71125016219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1921\/16 > 5.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 + (-8 - 13) + (16 - (4 + -1 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let k = 162797\/20 + -8142. Let s be 5\/(-6)*14967\/(-60). Let i = s + -219. Find the common denominator of i and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 8:34 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(18)*2)\/sqrt(6).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 13524 and 43512.\nAnswer: 1000776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.054969 decades to centuries.\nAnswer: 0.3054969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 787 is divided by 223?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17 - 14. Let n = 7 - y. Suppose -32 = -7*t + 3*t + 4*f, -3*t - 3*f = 6. Solve 5*s = -0*d - 2*d + n, 5*s - t*d = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -31138 - -59268. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8099 is divided by 7215.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 210, 225, 266, 345, 474, 665?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2099949 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 4*u + 20, u + 2*u = -3*l + 24. Suppose 4*s - 12 = -4*k, 6 = l*s + 3*k - 7. What is the smallest common multiple of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-312)\/36)\/(((-8)\/372)\/1).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 7*x**2 - 2. Let c be p(7). Put c, -1, -4, -5 in increasing order.\nAnswer: -5, -4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 8:19 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = -i - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7473 + 10476. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 8 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - 0*f - 5. Let p(q) = q**2 - 8*q + 5. Let u be p(5). Let c = f - u. Solve 0 = 3*m - 5*h, 5*h = m - c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2883773 is divided by 576728?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 297 a factor of 198655875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-2*(-25)\/5200))\/(-10).\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -10 - 2. Suppose 3*y - 47 = -o*c, -3*y + 9 = 2*c - 10. Let n = c + -5. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 4*b - 5. Let n be (-2)\/(-5) + 104\/(-10). Let g be (-4)\/10 + (-24)\/n. Let w(y) = y + 3*y - 2*y - g. What is 2*s(x) - 5*w(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8447?\nAnswer: 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 = 43*s - 118 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes after 5:55 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(24\/(-20)*5 + 5). Let z(o) = 1 - 4*o - 1 + 5 + 103*o**2. Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - 20. Let g = u - -19.2. Which is the biggest value? (a) -1\/5 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/12 - (-151)\/2. Suppose 2*v = b + 10. Let a = 158 - 147. Calculate the remainder when v is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 140416029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(3\/8)*v)\/(v\/v**(3\/14))*(v\/v**2)**24 assuming v is positive.\nAnswer: v**(-1311\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 8, 0*l = -3*v + 4*l + 329. What is the remainder when v is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*b**2 + 138*b**2 + 87*b**2 + 102*b**2 - 362*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14045443*l**2 - 37745658*l?\nAnswer: 28090886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (156906\/(-6040881))\/(-2*(-10)\/168*-2).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the third derivative of -2*b**7\/525 - 24*b**6\/5 - 57838*b**5\/25 - 7083004*b**4\/15 - 27303838*b**3\/5 - 11684*b**2. Factor z(d).\nAnswer: -4*(d + 3)*(d + 239)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 150407 divided by -4\nAnswer: -150407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*g**2*m**3 - 214*g**2*m + 19*g**2 - 10*g wrt m?\nAnswer: 9*g**2*m**2 - 214*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 107760883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 190 = 2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002736 to 7 decimal places.\nAnswer: 0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77943914 is divided by 265?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-48)\/(-60) + (-652)\/15*2. Let y = 259\/3 + a. Solve -y*t**2 - 1\/5*t**3 + 0*t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1580983962?\nAnswer: 2, 3, 12347, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + 4*d - 4*d)*(-3*d**2 + 5*d**2 - 8*d**4 + 0*d**4)*(-2 - 3 + 7).\nAnswer: -32*d**5 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 117*f - 44*f - 30*f - 42*f + 2.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7488 - -7487.8. Which is the biggest value? (a) 2\/7 (b) -5 (c) j (d) -3 (e) 108\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/(-85)*(-4080)\/11760.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - -1526661?\nAnswer: 1526663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r = -19 + 49. Let z(t) = t**2 - 5*t - 13. Let h be z(7). Which is the nearest to 0? (a) -1\/9 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*g**2 - 4*g**2 + 7*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-9)\/24)\/(-1))\/((-2)\/8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10631*l - 19298 wrt l.\nAnswer: -10631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -33 - 2120?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 686560682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 77217356333.90027 - 77218243454. Let u = d + 887061.1. Let o = -59 - u. Round o to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 - 9) + 2 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 401764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - 8\/5. What is the closest to 0 in -2\/3, o, 5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -118*w + 46. Let i(y) be the first derivative of 3*y**2\/2 + 1. Let q(x) = -6*i(x) - r(x). What is the derivative of q(h) wrt h?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*i - 6. Suppose -f - i*m = -24, 2*f + 0*f - 3*m - 15 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-60)\/(-50)*(-70)\/(-4). Solve 6*u - u = 2*w - 7, 3*w + t = -3*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 times -840.364?\nAnswer: -12605.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16309.053 - 16309. Which is greater: 3.8 or o?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 13) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/56 and 789\/(-180) - (-1)\/3?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 4354244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -894 divided by 6?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000010803 to 7 decimal places.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 63160315 (base 8) to base 10.\nAnswer: 13426893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eylololxyree. Give prob of sequence oro.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(104) - (sqrt(104) - (sqrt(104) + (sqrt(104)*-3 - sqrt(104)) + sqrt(104)))) - 4*-1*sqrt(104))\/((3*sqrt(112)\/sqrt(2))\/(sqrt(28)*3))*1)**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000019310977 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 4*m**3 - 18*m - 9*m**4 + 8*m**4 - 12684*m**2 + 12686*m**2 in the form c + s*m**2 + b*m**3 + q*m**4 + g*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17*440\/(-340))\/(16\/(-4)*1)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = 2*q + 29*g - 26*g, 0 = 25*q - 29*q - 10*g + 96 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 10:48 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 34 + -31. Let z be (x\/(-2))\/((-39)\/104). Calculate the common denominator of 38\/3 and (-220)\/130*10\/z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -115 - 60. Let w(o) = 4*o**3 - 60*o**2 + 36*o + 31. Let h be w(14). Let g = c - h. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13181 + 10786. Which is smaller: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 97, 5 in increasing order.\nAnswer: -2, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**2 + 2*y - 9. Let z be (14\/(-4))\/(4\/8). Let x(m) = m**2 - m + 4. Calculate z*x(h) - 3*w(h).\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + 1 + sqrt(153))**2 + (sqrt(153) + 1)**2 + -4)*-4.\nAnswer: -1276 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 247365 = 137308*a - 135157*a for a.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2855)\/(-239820))\/((-1)\/(-35)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000270083698 rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16*1*(-9)\/(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -50*q**2 - 4 + 3*q + 7*q**2 + 3*q**4 + q + 40*q**2 as a*q**3 + n*q + v*q**4 + o + r*q**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24 - (6 - -23) - (-3 - 2 - 59)) + -10.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 121 divide 46528044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 13.4501 and -0.4.\nAnswer: 13.0501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a. Let s be h(-1). Let w = 15 - s. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/8 - (8968\/(-32) + -3). What is the second derivative of 12*b**3 - 285*b - 2*b**4 - q*b - 4 + 552*b wrt b?\nAnswer: -24*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 114 + 519. Find the second derivative of -j + 4*m + 17*m + 3*m**5 + 633 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -21 - -39. Let d(l) = 2*l - 1. Let a(r) = -r + 1. Let q(u) = -4*a(u) - d(u). Let b be q(h). Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(2\/4)\/(3\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -36, -40, -44, -48, -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 + 10\/4)*(-134)\/3. Let w = b - -210. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 PM and 2:09 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47788863?\nAnswer: 3, 15929621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-six fifths of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.2, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 826710.\nAnswer: 2, 3, 5, 17, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 5*p = 8. Let r be (p + 1)*(-44)\/(-6). Suppose -t - 5*a + r = 0, 0 = -3*t + 4*a - 0*a - 29. Sort t, -4, 2 in ascending order.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-68)\/(-34))\/(0 + 1\/4). Let n = c - 5. Suppose -n*s + s + 8 = 0. Solve -2*h = -s*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 - -22122?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from porrooo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 40987*k - 1803426. What is z(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 248 times 161.644\nAnswer: 40087.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1641, -2\/5, 5\/51.\nAnswer: -2\/5, -0.1641, 5\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the second derivative of -7\/30*j**5 + 164\/21*j**2 - 128\/7*j**3 + 6 + 4*j + 97\/6*j**4. Factor x(t).\nAnswer: -2*(t - 41)*(7*t - 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -53 + 31. What is the common denominator of 1107\/i + (-4)\/22 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 4*c = -0*c + 17, 0 = -m - 4*c - 19. Let p be (m + 5)\/(3\/(-2)). Let z be ((-6)\/4)\/((-2)\/(-4)). Sort p, -2, z in ascending order.\nAnswer: p, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 9, -4*y + 4*l - 44 = -0*l. Let x = -6 - y. Suppose -2*p = -p - x. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1843, -1873, -1903?\n\"Answer: -30*l - 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 11*j**2 - 3*j - 6. Let r(g) = -5*g**2 + g + 3. Let v(a) = 6*k(a) + 13*r(a). Calculate v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 720.9267 - 2.8767. Let p = -718 + m. Which is bigger: p or 2\/107?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5091\/2246 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -2*l**3 - 22*l**2 - 42*l + 113. Let g be r(-7). Solve -t - 3*a - 12 = 0, 20*a = 4*t + g*a + 14 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, 2\/15, 0, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10100120 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 + -3 + 4 - 0. Which is the biggest value? (a) x (b) 0.2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 360 (base 9) to base 12.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2053 - 505?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2*(18 + -12))\/((-1)\/17). What is the tens digit of 89376\/j - (-8)\/(-68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than 18\/7553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.19 - -25.19. Let g = 1254\/1555 - 2\/311. Which is the nearest to -5? (a) g (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (41 + (-1771)\/44)\/(-1 + (-6386)\/(-86)) and 167\/126?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 517 * -0.2.\nAnswer: -103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 4*x = -50, 0 = -w - 3*w + 2*x + 82. Let r(f) = -19 + w + 13*f. Let k(i) = -i**2. What is k(r(o))?\nAnswer: -169*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11138*r - 32554?\nAnswer: -11138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 7 - 14 = 0. Let w(x) be the second derivative of -x**4\/12 - 3*x**3\/2 - 7*x**2\/2 + 4*x. What is the smallest common multiple of w(h) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + j - 49 - 49 = 0, 2*j = -3*c + 145. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d**2 + 6*d + 4. Let g be (1 + -3)\/((-3)\/(-6)). Let n be p(g). Let h = n + 55. Solve -2*k + 5 = -h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3a1581 (base 11) to base 8.\nAnswer: 2321444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/11, -28, 1.03?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/(b**(-2\/13)\/b)))\/b*b*b**(-4))**15 assuming b is positive.\nAnswer: b**(-1005\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = -3*d - 2*d. Let w = -14 - d. Suppose -6*b = -5*t - w*b + 31, -b = t - 9. Solve 0 = -p - 5*u - 5, 5*p - t*u + 2*u - 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q - 24. Let z be v(12). Find the common denominator of z\/(-3) - (-50)\/(-3) and -103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - 2*o + 85054*o**2 + 4*o - 85262*o**2 + (3*o**2 - 3*o**2 - o**2)*(1 + 2 - 5).\nAnswer: -206*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1295.7169 rounded to the nearest 10?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08359 rounded to three decimal places?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (162\/(-216))\/(((-276)\/32)\/1). Let t be 1*2\/(-4)*-10. Which is the biggest value? (a) x (b) -0.1 (c) 1\/3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1172707 (base 8) to base 5.\nAnswer: 40400223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 46 - -19?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 113 - 63. Is a smaller than 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(847) - (-2 + sqrt(847))**2 - -2*sqrt(1008) - -6*(sqrt(847) + 3).\nAnswer: -833 + 145*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of c**4\/48 - c**3\/12 - 2*c + 10. Suppose g(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -19*k + 2*k + 18513. Suppose -8*i + 17*i = k. Calculate the remainder when i is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 PM and 4:55 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -221 by 85.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9817209387*d + 19634418769*d - 9817209381*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 5621097.1 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -5b (base 12) to base 14\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19828730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 11501 by -608.\nAnswer: -11501\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10.62 + -10.6. Let d be ((4 + 17)\/(-126))\/((-3)\/4). What is the second biggest value in d, 4, j, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12 in 4, 0.4, 7, -1, -0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19*r + 93*r + 25*r)*(2*r + r**2 - 2*r).\nAnswer: 99*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*k + 3*k - 2*k)*(-6 - 6 - 22 + (2 - 3 + 2)*(4 - 2 - 3) + 3 - 4 + 2 - 1 - 1 + 0) + (-2 + 3 - 2)*(-2*k + 3*k + k) as w*k + y and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 614765 plus 140?\nAnswer: 614905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 2*b + 19. What is k(-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1541 + -1050. What is the remainder when z is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 573568785 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -3*a - 3. Let t(s) be the first derivative of -s**2\/2 - 3*s - 3. Let c be t(-6). Suppose -3*r - 13 = -4*i - 4*r, -3*i = 3*r - c. Give y(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 PM and 12:38 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 207885091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (5 - 7) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**2\/17 + 4*i\/17 + 6\/17.\nAnswer: -2*(i - 3)*(i + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -756 - -754. Let v(l) = l**2 + 4*l + 3. Give v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2748.4 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 - (3 + -1 + 113 + -3 - -10)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (255\/60 - 2)\/((-1)\/(-96)). What is the greatest common factor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 26 = 3*g, o = 130*g - 133*g - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2150 and 26950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1*9*(-3)\/(-3). Let h = 1 - n. Suppose 0 = 2*r - 4 - 52. Calculate the remainder when r is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(130)\/(-3*sqrt(10)) + (sqrt(208) + (4 + sqrt(208))**2)*3.\nAnswer: 323*sqrt(13)\/3 + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 310655 (base 13) to base 11\nAnswer: 711168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*o*x**2 - 835*o*x + 50*o + 28065*x**2 - 30 wrt o.\nAnswer: -2*x**2 - 835*x + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 316.2 + -319.2. What is the nearest to 3\/2 in 3\/4, -0.3, -2\/3, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - (13 + 0 + 24 - 17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -42737 (base 8) to base 7.\nAnswer: -103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 96016920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 6*y + 200 = 0. Let g be (-4)\/6 - y\/(-15). Suppose 4*r - 20 = 0, -g*b - r = b - 71. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 2641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13 + -1331?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**3 - 3*v**2 + 4*v. Let b be j(-4). Let u(k) = -1 - k - k**2 + 4*k - 4*k. Give u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the first derivative of 37*f**5\/5 - f**4 - 9428*f**3\/3 - 4280. What is the third derivative of g(w) wrt w?\nAnswer: 888*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.36? (a) 14 (b) -5\/4 (c) -1\/16 (d) -1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 534 is divided by 104.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/(-6) + 49\/(-2). Let g be (2\/4 - 0) + 12\/k. Suppose g = -2*x + 52 - 8. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 4:39 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 1*sqrt(17) - (sqrt(1088) - (sqrt(1088) + 3)) - ((((sqrt(102) - (sqrt(102) + -2*sqrt(102)) - sqrt(102)) + sqrt(102))*6)\/sqrt(6)*-3)**2.\nAnswer: -22032 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (50\/4)\/(1\/6). Suppose h = -4*h - c. What is the remainder when (-4 - (0 + -3))*h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 877647 (base 9) to base 15.\nAnswer: a53a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - 2*w + 44, s + 3*w + w + 11 = 0. Let o(a) = -4*a - 44. Let n be o(s). Solve 2*q + n = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z + 379. Let y be o(0). Suppose 158 = 2*r + 3*k + 937, 2*k - y = r. Let u = -3967\/10 - r. What is the common denominator of u and -75\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1457145 is divided by 228.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 - 19*x - 91. Let b(i) = -3*i**2 - 58*i - 275. Let z(t) = -6*b(t) + 17*k(t). What is the derivative of z(r) wrt r?\nAnswer: 2*r + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.8 - -0.8. Let k = y + 6. What is the third biggest value in 0.2, -0.01, k, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/13 - 2887728*y\/13 - 1042371625248\/13.\nAnswer: -2*(y + 721932)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**2 + v + 1. Let y(c) = 31*c**2 - 9*c - 9. Determine 18*k(p) + 2*y(p).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t + 34*t - 5*t)*(4 + 0 - 2)*(2*t**3 - 4*t**3 + 5*t**3 + (2*t**2 + t - t)*(-5 + 5 + t) - t**3 + t**2 - t**2).\nAnswer: 232*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 0 = 4. Let b be (-75 - s)\/(-7 + 5). Calculate the highest common divisor of 57 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 12:08 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4325 + 4695. Calculate the remainder when y is divided by 57.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -2*i**3 + 126*i**2 - 98*i - 158. What are the prime factors of k(55)?\nAnswer: 2, 3, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 2*u + 6 = -g, 3*u = 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**2*d**(-1)*(d*d*d*d**(-7))\/(d\/(d**(-2)\/d)) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.65505 from 127752.\nAnswer: 127753.65505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 23 + -19. Let j be (-3)\/d - 150\/(-40). Suppose -6*g = -3*g + 5*i + 11, 3*g - j*i - 21 = 0. Solve g*l + 1 = 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((30\/6)\/(-10)*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 4 = -2*t. Suppose 1323 - 4007 = -t*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/180 and -149\/168?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-5*(sqrt(35) + sqrt(35) + (sqrt(315)*1 - sqrt(315))))\/(sqrt(30)\/(sqrt(30)\/sqrt(5)*4))*4)**2.\nAnswer: 179195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + -5*sqrt(2736)*-4))**2 + 3)*3.\nAnswer: 3283209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**2 + 2. Let j be y(0). Let s(m) = 2 - 6*m - j*m - 2 - 218*m**2. Let v be s(-6). Round v to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 3*h**3 + 10*h**2 + 8*h + 3. Let j(x) = 1 - x**3 - 3*x - 2*x + 5*x. Let m(z) = -j(z) + w(z). Solve m(t) = 0 for t.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 167*t + 29. What is the smallest common multiple of 30 and z(2)?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + 268b?\nAnswer: 268e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003566848774 to 6 dps.\nAnswer: -0.003567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of 7*h**7\/2 + 169*h**3\/2 - 453*h. What is the second derivative of y(k) wrt k?\nAnswer: 2940*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -n**4\/2 + 3*n**3\/2 + 135*n**2\/2 + 257*n\/2 + 63 = 0.\nAnswer: -9, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -2*l + 53. Let i be t(25). Put 5, -2, -5, 24, i in decreasing order.\nAnswer: 24, 5, i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -3*k + 9, -3*u + 2 = -u + 4*k. Let l = 248 + -240. Suppose r = -u*r + l. Calculate the least common multiple of r and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - -4. Suppose -4*u + 15 = u + 5*l, y = 2*u - 4*l + 12. Solve -2*f - f = u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 - 5*o - 2. Let i be b(-2). Let t(y) = -3*y + 5*y - i*y. Let p(z) = 2*z**2. Determine p(t(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1525 (base 6) to base 13\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 131711.1 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -3*r**2. Let l(i) = -91*i. Calculate o(l(a)).\nAnswer: -24843*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 80 = 55*s - 85 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 135529288.1 rounded to the nearest one million?\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 10) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*i - 29*i + i**2 + 10*i + 9*i + 22*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-27)\/(-12) + -2)*0. Let o be -3*(7\/3 + x + -3). Suppose -2*u + t + 1106 = -t, -o*u + 5*t + 1106 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 82, 11, -1, 3, -27356, -4 in decreasing order.\nAnswer: 82, 11, 3, -1, -4, -27356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00316058597 rounded to 5 decimal places?\nAnswer: 0.00316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -240893245 rounded to the nearest 1000000?\nAnswer: -241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(3 + -2 + sqrt(567)))**2*4 - 1*((3*(-1 + sqrt(567)))**2 - (1 + sqrt(567) + 1)).\nAnswer: 1323*sqrt(7) + 31242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 31*d**3 - 8*d**3 + 15*d + 1.\nAnswer: 23*d**3 + 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 + 3*x - 5. Determine l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**3 - 37. Let g(t) = t**3 - 19*t**2 + 20*t - 41. Let n be g(18). Let q(a) = -a**3 - 36. Let l(c) = n*q(c) + 4*s(c). Differentiate l(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9, -100, -357, -864, -1705, -2964?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/(u\/(u\/u**(1\/11))))*u)\/u**(2\/7) assuming u is positive.\nAnswer: u**(62\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -r. Let d = 2 - r. Suppose 2*c + 0*c = d. Which is bigger: c or -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 969227409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l + d = -3*l + 23, -5*d = 10. Let u be (-6)\/(-15) + (-13)\/l. Solve -n + 15 = -u*f, 2*n - 10 + 0 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/10)\/((-1386)\/(-385)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = o - 5. Suppose 17 + o = 4*u. What are the prime factors of ((-2)\/u)\/(1\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58796.5 - -281.\nAnswer: -58515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 737 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-9 + 0)\/(-9)*(-3)\/1947. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -55573000 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 581181864 to the nearest integer?\nAnswer: 24108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2774 + 2769. Let m be (-18)\/108 - (-26)\/84. What is the nearest to m in -4, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8.1 - 8.836. Let a = d - -81.836. Let k = -86 + a. Round k to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/8 + (-68)\/(-16). Suppose j = -o*w + 2*w + 24, -5*w + 47 = 2*j. Suppose -2*r + 0*r = -j. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-33 - 19 - 84 - 8)*(-1 - 2*p + 1).\nAnswer: 288*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 2, i: 1, a: 1, x: 2, q: 2}. What is prob of sequence xqqa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 714946 - 223634. Let f = -701112 + v. What is f rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*c + 96 = 77*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.2 in -5, -0.05, 29985, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -10, -8.\nAnswer: -10, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 115193514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 303 - 13?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/31, -18, -5, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 198877 = 198876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 23*s**2 + 7*s - 8. Let y be g(6). Suppose -4*b = -3*b + y. Is (b\/2)\/(1\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 11\/16322 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 28, 0.1, 2, 1\/3 in descending order.\nAnswer: 28, 2, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/(-2)*((-9)\/(-3))\/18. What is the second biggest value in 1\/9, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (14\/3)\/(6\/135). Suppose -g + p = -5. Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001843687 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -263*h**4\/2 + 1055*h**3\/3 - h**2\/2 - 1249. Find the third derivative of l(f) wrt f.\nAnswer: -3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 - 11*f - 10. Let u be l(-10). Which is smaller: 3\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -20*o**2 + 2*o + 1. Let q(c) = -3456*c**3 - 79*c**2 - 10453*c + 5. Let k(s) = q(s) - 4*y(s). Find the second derivative of k(m) wrt m.\nAnswer: -20736*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 - 15. Let d = t + 9. Suppose -2*n - 5*c = -21, -4*n = 2*c - c - 69. What is the greatest common divisor of d and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**3 + 9*d**2 - 2*d - 7. Let g be o(7). Let a = g - 77. Solve -q + 3*q + 6 = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3466260 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i**(-1\/5)*i**1*i assuming i is positive.\nAnswer: i**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes after 10:40 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-14)\/6)\/(-1 + (-14)\/(-15)). What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) -3 (b) 5 (c) 1\/8 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5 - (-3 - -12)\/3. Solve -2*q - 2*t = -2, -a*q + 5*t + 13 = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q**5\/3 - 10*q**4 - 1610*q**3\/3 + 10390*q**2\/3 + 5016*q - 23800\/3 = 0. Calculate q.\nAnswer: -25, -2, 1, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 - -17. Suppose c - 9 = -2*k. Suppose -5*w + g + 185 - 37 = 0, 2*w - k*g = 56. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j - 5*j + 5*j. Suppose 4*b + 10 = 2. Let f(i) = -12*i - 1. Calculate b*f(k) - 22*a(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 315.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 - 106*p + 1389. Determine k(17).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89*j + 98*j - 187*j + 10*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 4*j + 40. Let z be p(-8). Solve 3*a = -0*h + 2*h + 6, 4*a - z = 5*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 12:59 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -5092.1279 to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -52 + 51.7. What is the closest to -2\/5 in q, -6, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1020100021 (base 3) in base 15?\nAnswer: 7307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - -3 - -1) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99)\/(sqrt(45)\/sqrt(5))*-4)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -2*z**2 - 5*z + 9. Let f(y) = -y**3 - 12*y**2 + 4*y + 160. Let a be f(-11). Determine h(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the third derivative of -1\/24*q**4 + 0 + 0*q - 1\/6*q**3 + 2*q**2. What is the units digit of x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/w**(-4\/7))\/w**(3\/7) assuming w is positive.\nAnswer: w**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/6*2*8\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/17 (b) -6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 + 222*p + 2. Let h be z(0). Solve c - 25 + 20 = h*a, -3*c - a = 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 42, 17, 4, 3, 14, 37, 72?\n\"Answer: 6*x**2 - 43*x + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-24)\/1068 + 39544496\/712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5474295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*u - 10 = 61 + 349 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -4*w**2 + 7*w + 3. Let a(c) = 4*c - 4. Let p be a(2). Suppose 0 = 4*z + 3 + 17. Let m(o) = -3*o**2 + 7*o + 3. Let i(u) = p*r(u) + z*m(u). Give i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jssnaannjajnaaajna.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32449568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, r: 1, t: 2, f: 2, w: 2, u: 1}. What is prob of sequence wfrw?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -79989 divided by 6153.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 520061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/30 and 48\/5705.\nAnswer: 34230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30296*h**2 - 18*h - 4890*h**2 + 26973*h**2 + 24644*h**2.\nAnswer: 77023*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2110233123211 - 3?\nAnswer: -2110233123220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r = -2*r + 4*z + 59, -3*z = 3*r + 33. Let n = -5 - r. What is the least common multiple of 9 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((0 - -1)*-4)\/(-5). Let n(j) = -j + 6. Let a be n(5). Let d be (51660\/152880 + 3\/(-13))*(-2)\/3. What is the nearest to a in d, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -269 - 118. Let v = 253 - q. Does 32 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/((-3)\/(-114)) - 2. Let y = -34 + 33. Is -8 + k + 4 + y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 151\/262572 and 19\/12.\nAnswer: 262572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 607733?\nAnswer: 7, 17, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 485, 483, 483, 485, 489?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 933484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum 1 and 7351874256279.\nAnswer: 7351874256280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 60242884 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, i: 2, z: 5, a: 1}. What is prob of sequence zm?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 1496359.814 to the nearest one hundred.\nAnswer: 1496400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -506*r + 26044 - 238 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 3*c - 14, 2*p = -c. Let x = -3\/7 + 13\/14. Let w = 27 + -27. What is the nearest to w in 2\/5, x, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1150816 (base 10) to base 12.\nAnswer: -475b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/25018 and 149\/32166.\nAnswer: 225162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 379.772 to the nearest integer.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2186968502 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56152298.\nAnswer: 2, 67, 419047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 51 - 3. Suppose -2*d + 0*d + 42 = 0. Suppose 5*z = 51 - d. Calculate the greatest common divisor of x and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r - 8. Let z be o(6). Let u be 0\/z + 11\/55. Which is the biggest value? (a) u (b) 4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 5*u**3 - 3*u**2 - 4*u + 9. Let v(h) = -4*h**3 + 2*h**2 + 3*h - 8. Let q(d) = 5*f(d) + 6*v(d). Let s = 419 - 415. What are the prime factors of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/11060 and -31\/174748?\nAnswer: 873740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/((-10 - -5)\/(-60)). Differentiate -37 + r - 4*r - i*r - 13 with respect to r.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4 + (-32)\/(-6))*(-18 + 6). Let x(i) = -2*i**3 - 9*i**2 + 53*i + 19. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -5*i**3 - 5*i**2 + 5*i + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (78 - 258 - 192)*(-n + 0 + 0) + 26 - 11*n - 26 as t*n + k and give t.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is 735\/45*(-4848)\/1414?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 768530 divided by -153706.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 36, 79, 128, 183, 244, 311, 384?\n\"Answer: 3*b**2 + 34*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -44\/21 and 107\/48540.\nAnswer: 339780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -159a37 (base 11) in base 10?\nAnswer: -247485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -40*x**2 + 43*x - 7. Let j(l) = 22*l**2 - 23*l + 4. Let h(o) = -6*f(o) - 11*j(o). Let p = -9 + 6. Determine h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 21074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (10\/6)\/((-11)\/(-33)). Solve j*s - 3 - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 289876748 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the first derivative of s**4\/4 - 13*s**3\/3 - 7*s**2 - 3*s - 39. Calculate i(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + 6 + (2 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 301 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -230 - 1330?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 665 a factor of 132685653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5*(-60)\/(-56) - 3)\/((-72)\/(-84)).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.092 times -0.0501714?\nAnswer: 0.0046157688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 177 and 800018229?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 2, s: 1, t: 2, n: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -529.1 to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -5*m**2\/4 + 186565*m - 6961299845 = 0. Calculate m.\nAnswer: 74626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 1)*(3*x**3 + 4*x**3 - 4*x**3 + (10*x + 0*x - 2*x)*(4*x**2 - x**2 - 2*x**2)) - 4*x**3 - x**3 + 3*x**3.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -12*j**2 - 5. Let o(q) = -506721*q. What is o(l(h))?\nAnswer: 6080652*h**2 + 2533605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 397 = v, -397 = -v + 2*h - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -5*r - 9 + 71, 0 = -4*f + 3*r + 150. What is the remainder when f is divided by (52\/6)\/(14\/21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(6\/19))**(-2\/49)*z\/(z**8\/z)*(z\/z**(-1\/40))\/z assuming z is positive.\nAnswer: z**(-222989\/37240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y + 8. Let s be n(6). Let o(d) = -52*d**2 - 4*d - 3. Let z be o(-1). What is the remainder when 13 is divided by s\/(-3) - z\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -36*j**2 + 115*j - 567. Calculate d(5).\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 2 z when four letters picked without replacement from uzczuujuzcj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of 3*n**9\/2240 + n**7\/5040 - n**6\/720 - 11*n**5\/30 - 19*n**2. Let g(f) be the third derivative of b(f). Does 27 divide g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -270*r - 854 + 1704 - 850 as a + y*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m - 24. Let o be r(-13). Suppose -o*z + y = -0*z, 2*z - 4*y = 0. Solve z*t + 2 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2144?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -5118175 by -101.\nAnswer: 50675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(-1\/3))\/b**(-1))**(7\/8) assuming b is positive.\nAnswer: b**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 - 280*g + 138*g + 86 + 142*g.\nAnswer: -g**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-7 - -4) + (-13)\/(-5). Let q = 21 - 21.11. Which is the biggest value? (a) 0.4 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0.1, 5.76, -2 in decreasing order.\nAnswer: 5.76, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 4*z - 896, z - 4*z - 4*m + 672 = 0. Suppose -k + 9*k = -z. Let w = 33 + k. Solve 5 = -4*t + 2*o - w, -10 = -2*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27111 and 2380604?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1069*r + 15397 = -575*r + 3541 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1025*u = 1019*u + 54 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 7563553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (-5 - -1) + 4 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 16 + 2 = 0. Suppose -34 - x = -8*h. Solve 0 = 3*f - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ieqe. Give prob of picking 1 e and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3040?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from opcuqjq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 57448 and 1032?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1348 + 1348 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 168392 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 -1 = 3*l + 155. Let c be 9\/(-3) + (-13)\/(l\/(-816)). Let s = -136 - c. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that a**5\/3 - a**4 - 2*a**3 + 10*a**2\/3 + 7*a + 3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 4*d - 44. Determine r(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 39 and 65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -393.5 - -393. Sort 0, -37, 4, r in decreasing order.\nAnswer: 4, 0, r, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3\/15 - 8*g**2\/15 + 2*g\/15 + 4\/5.\nAnswer: 2*(g - 3)*(g - 2)*(g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 658*t**2 - 1310*t**2 + 646*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.021257 less than 0?\nAnswer: -0.021257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -3*p**3 - 3*p**2 - 10*p - 26. What is s(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 76, -4, 0, -3, 3 in descending order.\nAnswer: 76, 5, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 + 8 - -1 - (6 + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -584 + 189 = 152*l - 4651 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.1 + -4.2. What is the third smallest value in 2, -2, y, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15\/(-12) - (-18)\/12. Let d(t) be the first derivative of -s*t**4 - 5 + 5\/3*t**3 - 4*t + 7\/2*t**2. Determine d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/609048 and -49\/342?\nAnswer: 11571912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3\/4, 18, 1.6?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q**3 + q**4 + 3*q**3 + 2*q**4 + 0*q**4 - 4*q**4 + (3140*q + 86*q**2 - 3140*q)*(-4*q + 0*q + 8*q)*(-7 - 2*q + 7).\nAnswer: -689*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18574566.\nAnswer: 2, 3, 3095761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.4 (b) 1\/2 (c) 234 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -242, -333, -122, 541, 1806, 3823, 6742, 10713?\nAnswer: 15886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.9 * 5976.\nAnswer: 5378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010001101 + 1000100100?\nAnswer: 10010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-7 + (-20)\/(-4))*(-2002)\/20. Let h = i + -959\/5. What is the common denominator of h and -51\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**3 + 6*h**2 + 7*h + 4. Let f be r(-4). Let l = f - -6. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + p - 8 = 0, -4*p = -5*y - 1 + 37. Suppose y*z - 7*z + 3 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -2*a**4\/3 + 36667826*a**3\/3 - 220006812*a**2 + 1320040584*a - 2640080880 = 0.\nAnswer: 6, 18333895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 1 = -7. Suppose 15 = -2*u + 7*u. Solve -5 = -m*c + u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 354\/14 + 2\/(-7). Suppose o = -5*f + 175. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 256*a**2 - 2*a + 1. Let z be p(-1). Let m = 461 - z. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 522911.5 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(105)\/(sqrt(5) + sqrt(10)\/sqrt(2)))\/(sqrt(3) + sqrt(3)*-2*-3))**2.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 15.64996 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6152887 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.13 or -63.77?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -6577*w + 108752 - 185972 = -1004577 for w.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18004 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 11. Suppose h*u - 6 = 2*u. Let x(j) = j**2 + 4*j - u*j + 8*j - 5. Calculate x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -27 + 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-4))\/(3 + 60\/(-32)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 11*s**3 - 73*s**2 + 10*s + 9. Let q(o) = -10*o**3 + 69*o**2 - 10*o - 8. Let p(c) = -12*d(c) - 13*q(c). What is p(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 6 = -4*h - 18, 0 = 2*i - 10. Let r = 4986 - 64850\/13. Does r = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-17)\/(a**(2\/9)*a))\/(a**(1\/4))**(2\/3) assuming a is positive.\nAnswer: a**(-331\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 19*h + 602. Give x(-37).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 83*x + 94. Let f be k(7). Suppose 2*m - 681 = -c, -m = m - 5*c - f. Does 70 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1104 = -46*j + 828 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c + 5. Let q = 31 + -29. Let z be m(q). Find the second derivative of -37*x - z*x**5 + 24*x - 4*x**5 wrt x.\nAnswer: -220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 AM and 10:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of -m**6\/600 - m**5\/150 + 21*m**4\/40 - 885*m**2. Factor c(s).\nAnswer: -s*(s - 7)*(s + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 191 + (-6)\/((-54)\/(-45)) + 6 and 8?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1385693818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 2*g - 1. Let u be x(1). Let t be u + -2 + 4 + -1. Let k = t - 6. Put -3, k, 5 in decreasing order.\nAnswer: 5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 84*c - 80*c + 2*p, 5*c = 4*p + 29. Let r(j) = j**3 - 30*j**2 - 31*j. Let t be r(31). Solve -c*h - h - 24 = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 divided by 794\nAnswer: -7\/794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-40*j - 2 + 104*j + 74*j)*(-4 + 9*j + 4) as l*j + k*j**2 + x and give k.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*b**2 + 108*b - 108*b)*(-8*b**2 + 6 - 6).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -800*p = -428*p + 5208 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ytx when three letters picked without replacement from eyxexhht.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 71445*l**3*x**3 - 64*l**3*x + 2*l*x**3 - 5*l*x**2 - 33*l*x - 277 wrt l.\nAnswer: 428670*l*x**3 - 384*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Suppose 112 = j + 8. Let h be (-88)\/j + -1 + 2. Put -0.5, 0.5, h in ascending order.\nAnswer: -0.5, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 2214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11780 and 1873628.\nAnswer: 290412340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1132, -1766, -2400, -3034, -3668?\n\"Answer: -634*x - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5)\/k**6)\/((k*k**(-6\/17))\/(k\/k**(1\/15))) assuming k is positive.\nAnswer: k**(-2732\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be (23\/(-4) + 43\/(-172))*45\/(-2). What is the highest common divisor of r and 648?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1, -2\/13, -5\/33, 0.5?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) 0.2 (c) -6055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 + 6*t. Let x be j(-5). Let o = x + 9. Factor -o*y**2 + 4*y**2 + 0 + 6*y**2 - 4 + 10*y.\nAnswer: 2*(y + 2)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -69.43251 - -69.36. What is m rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1118 + -1107. Solve t = x + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 332190540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**30)**(-40)\/(o**32)**(23\/2))**(-14\/3) assuming o is positive.\nAnswer: o**(21952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -5, -3016, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44189403?\nAnswer: 3, 14729801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -3*(((-2*sqrt(104) - sqrt(104))*-2 + sqrt(104) - sqrt(104) - sqrt(104)) + sqrt(104))\/(sqrt(8) - sqrt(32)\/sqrt(4)*-3).\nAnswer: -9*sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -10222121 (base 3) to base 2.\nAnswer: -101101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 161985825*q**2 - 73210327*q?\nAnswer: 323971650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -72 - -75. Suppose -5*w + y*m + 510 = -3*w, -w + 255 = -2*m. Let j = w + -90. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13777 = 1839*w + 416*w - 106232 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (0 + 3 - 1) + -7 + -1 - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -87*p**2 + 2 - 93*p**2 - 2 + 181*p**2. Let q(m) = -83*m**2 + m. What is q(g(a))?\nAnswer: -83*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 543337142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -2, -3, 57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1990 and 18389590.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o**4*o)*o*o*o**(-7)\/o)\/(o\/(o\/(o\/o**(2\/7))*o))**(-1\/14) assuming o is positive.\nAnswer: o**(-540\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81 - 2*x - 87 + 168.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*b - 2652 = 0, 214*k + 5*b = 219*k + 415 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((-4*(sqrt(24) - (sqrt(24) - -2*sqrt(216))))\/(3*sqrt(512)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 904657 = -14*y + 903999 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -49843600*f**3 - 50041280*f**2 - 197876*f - 196.\nAnswer: -4*(f + 1)*(3530*f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(3 + 3 + -1*sqrt(363) + sqrt(363))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 27535562 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8 - -6. Let o = -7 - -6.7. Let q be (-2*6\/33)\/((-14 - 4)\/(-9)). What is the nearest to o in 3, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 + 9*s**2 + 10*s - 10. Let n be -8 + 5 - 0\/2. Let z = 12 + n. Let l be f(z). Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2065866 or 2?\nAnswer: -2065866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -80*g - 6702. Calculate i(-86).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 570 (base 8) to base 7\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + 0 - -2*2. Let h = k - 2. Let g be 21\/6 - 2\/h. Solve 2*z + 4*m - m = 13, g*z - 17 = -4*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2619971, -5239960, -7859953, -10479950, -13099951?\nAnswer: -15719956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:05 AM and 1:23 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = -4*n + 1 - 7, 481*n - 485*n - 26*m = -18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the third derivative of 5*a**4\/6 - 49*a**3\/6 - a**2. Suppose 9*o - 4*o - 45 = 0. What are the prime factors of j(o)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-28))\/(28*(-6)\/(-64))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -74 - -62. Let s(x) = -x**2 - 18*x - 57. Let w be s(f). Let v be (20\/w)\/((-2)\/(-3)). Solve v*r + r - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 787, 32199, 117455, 283477, 557187, 965507, 1535359?\nAnswer: 2293665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/((v**(2\/37)\/v*v)\/v))\/v*v*v*v**(-1\/6)*(v*v*v\/(v\/(v\/(v*v**(-17)\/v)))*v)\/v*v**(1\/6)\/v assuming v is positive.\nAnswer: v**(812\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 339725784*p*s + 2479910*s + 9 with respect to p.\nAnswer: 339725784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2c - -758?\nAnswer: 72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate b*g**2*n**2 - 4*b*g**2 - 12*b*n**2 + 33*g**2*n - 4*n**2 with respect to b.\nAnswer: g**2*n**2 - 4*g**2 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -197*c + 191*c + 112116 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2355751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(140)\/sqrt(7) - sqrt(20)) + ((sqrt(25) - sqrt(50)\/sqrt(2))\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10915 + -10912.815. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - -10 - 0 - (-54 - -54)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-51 - 11*f + 51)*(-f + 4*f - f)*(0 - 3 + 1)*(-1326*f + 866*f - 391*f) to the form i + d*f**3 + m*f**2 + k*f and give d.\nAnswer: -37444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -7 + 7 - 989*j - 2263*j + 313*j in the form a + y*j and give y.\nAnswer: -2939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + f + 2*f + 3 + (f + 0 + 0)*(1 - 3 + 1))*(2*f**3 - 4*f**3 + 4*f**3) + (4*f + 2*f**3 - 4*f)*(-9*f - 24*f - 12*f).\nAnswer: -86*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4\/6 + 53*g**3\/3 + 1889*g**2\/6 + 1281*g.\nAnswer: -g*(g - 122)*(g + 7)*(g + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 812 a factor of 97192340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*t - 120 - 137 = -169*t + 49 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -6. Suppose z - 5*p - 2 - 8 = 0, -p - 3 = q. Put z, 5, 0 in decreasing order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-4*(sqrt(272) + -2*sqrt(272) + 1))**2.\nAnswer: -128*sqrt(17) + 4370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r - 10. Let k = 3 + -10. Let v be 58\/k + (3 - (-38)\/(-14)). Determine o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 4*o**2 + 3 - 20*o**2.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/595 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Total of -75 and -34056070196.\nAnswer: -34056070271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) 5 (c) 2\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r, 1 z, and 1 w when four letters picked without replacement from aaawrmwzrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89393 is divided by 9654?\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 - 7*u - 164. Let t be x(-11). Suppose -7*r = -3*r - 8. Calculate the greatest common divisor of r and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 6*p**2 - 4*p + 2. Let s be g(3). Suppose h = -3*r + s, 2*r - 2*h + 3*h = 30. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 + 21. Sort u, 0, 5.\nAnswer: 0, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3537.4 times -0.004?\nAnswer: 14.1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 24 + -17.9. Let s = -6 + n. Sort 2, s, 3 in ascending order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87490132?\nAnswer: 2, 887, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 7, -0.04, 2\/1571?\nAnswer: 2\/1571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1484, 2281, 3134, 4043?\n\"Answer: 28*c**2 + 713*c + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 3:37 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13999\/3 or -4666?\nAnswer: -4666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = 4*k - 4*t + 62, -86 = 2*k + 4*t. Let s = k - -39. Let m = -4.91 + -0.09. Which is the closest to 3\/4? (a) m (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**3 + 6*w**2 - 432*w - 15. Give j(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 88*q - 510*q + 235*q + (-4*q + q + 4*q)*(-6 + 2 + 3) + (6*q - 3*q - 4*q)*(8 + 2 - 23) to h*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*p + 2*x + 11 = -7, 0 = -5*p - x - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -16*w**4 - 26*w**3 - 10*w**2 + 2. Let q(t) = -t**3 + t**2 + t + 1. Let x(s) = -n(s) + 2*q(s). Factor x(a).\nAnswer: 2*a*(2*a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2051 and 4981?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) 0.2 (c) 147 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*u + 1190 - 3427 + 2237.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l + 2243 = 4*l + 4*p, 2*p = -2*l - 1514. Let i = 746 + l. Put i, 0, -5 in descending order.\nAnswer: 0, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (18 + -13)*(-4)\/10. Let x be 215 - (3 - y - (3 + -1)). Suppose m - 3*m = -x. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(272) + 3)*4.\nAnswer: 10 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 133.4 plus -0.115?\nAnswer: 133.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-14 + 0)\/(5\/(-20)). Suppose 5*w = w + l. Suppose w*z + 5 = 9*z. Which is bigger: z or 1\/54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11295023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*m + 87*m + 76 = 2048 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -0.6 (b) -2 (c) -1\/13 (d) -1.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 - 10*h**2 + 3. Let o = -32 - -22. Let v be w(o). What is the units digit of (4 + -2)*v\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*l**2 - 11*l**3 + l**4 + 6*l - 4*l + 3*l**2 - 26 + 10*l**3 in the form d*l + o + x*l**3 + t*l**4 + z*l**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 128\/(-4)*3\/30 + 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 - 8*s - 8. Let w be q(-6). Suppose -t - 5*i = -842, w*i - 419 = -t + 418. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (8\/(-10))\/((-4)\/70). Let h be n\/(-63) - (-350998)\/(-9). Round h to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4268265 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of -1\/168*f**8 + 0 + 1\/15*f**5 - 1\/3*f**3 - 1\/12*f**4 + 0*f + 1\/30*f**6 + f**2 - 1\/105*f**7. What is a in m(a) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 6:45 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 73 and 584.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -6678907521*w + 490347. Let g(t) = 54483*t - 4. Let j(s) = -490347*g(s) - 4*m(s). Let o be j(1). Let y = o + -25483. Round y to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1))**(-20)*(c**(-1\/2)\/c)\/c**(3\/5) assuming c is positive.\nAnswer: c**(179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of s**7\/42 - 6*s**5\/5 - 97*s**4\/12 + 70*s + 1. What is the third derivative of w(i) wrt i?\nAnswer: 60*i**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the first derivative of -2087*l**2\/2 - 328. Let j(k) = -k**2. What is j(r(w))?\nAnswer: -4355569*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -1\/23, 2.7, 2 in ascending order.\nAnswer: -0.2, -1\/23, 2, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 3\/((-1799)\/(-42) + 22\/33)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7197.521 centimeters to micrometers.\nAnswer: 71975210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11202 (base 5) in base 6?\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 13) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + ((-12)\/(-15))\/((-5)\/25). Let d(f) = f**3 - f**2 - 2*f + 1. Let x be d(k). Let s(y) = -3*y - 5. Let c(m) = -5*m - 9. Calculate x*s(h) + 4*c(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxiiixxiixxixxixiix.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 5.049066 kilograms?\nAnswer: 5049066000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1071409\/420 - -2551. Let r(y) be the third derivative of -1\/210*y**5 - 1\/105*y**7 + 0*y**3 - 1\/28*y**4 + 15*y**2 + 0 + 0*y + c*y**6. Factor r(d).\nAnswer: -2*d*(d - 1)**2*(7*d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n + 170 - 83 - 33 - 54.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c6 (base 16) to base 6.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add 3 and 188873.\nAnswer: 188876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*w - 3*w + 7. Let g = 9 + w. Suppose -147 = g*y - 595. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 4 + (-1 + -5 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 4668 divide 341390332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/6)\/(46\/69)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 - 5*i. Let f(j) = -j. Determine 3*f(h) - g(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 915560 and 3290.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a = 2*t - 16, 4 = -2*a - 0*a + 2*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q**(6\/5)*q))\/q**30 assuming q is positive.\nAnswer: q**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 74075 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118 + 346 = 4*n. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oocuoouuo. What is prob of picking 4 o?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 207760?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 154*k - 41*k - 44*k - 36*k - 36*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.25 + 0.051.\nAnswer: 1.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -133322 + 203?\nAnswer: -133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 871884 (base 9) to base 5.\nAnswer: 113113042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/997904 and -1\/272?\nAnswer: 16964368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 393758*m**2. Let c(y) = 2*y. Calculate u(c(g)).\nAnswer: 1575032*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of 13*o**8\/336 - o**5\/5 - 24*o**2. Find the third derivative of a(f) wrt f.\nAnswer: 780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 7, 2058.\nAnswer: -5, 2, 7, 2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than 2703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 11*w**3\/2 + 417*w**2 - 999*w\/2 + 77.\nAnswer: (w - 1)*(w + 77)*(11*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7.9 + 7. Let r = 314 - 312.67. Let o = -0.33 + r. Which is the second biggest value? (a) u (b) -4\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15612216 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 247028 is divided by 4769?\nAnswer: 3809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 38219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k**2 - 5*k. Let u be y(4). Find the second derivative of -n**2 - 6*n**2 + 16*n + u*n + 0*n**2 wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cojoecojocojfjele. What is prob of picking 1 j and 1 e?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) 25\/6 (d) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from xtjxttwtttxxtttttwq.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 9*x**2 + 2. Let d(v) be the second derivative of 5*v**4\/6 + 3*v**2\/2 - 420*v. Determine -2*d(p) + 3*k(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 - 6\/12*-38. Let a = 459 + -147. What is the highest common factor of a and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -471*u + 1321*u - 395*u - 472*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8 or -248\/27?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -38.001333 + 38. Round x to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2844 and 130425524?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 - (2\/(-2) - 5). Suppose 0 = 2*o - m, 0 = 3*t - o - 3 + 1. Solve -12\/7*w**4 + 8\/7*w + 18\/7*w**5 - 22\/7*w**3 + 8\/7*w**t + 0 = 0 for w.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2991 + 5487. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from {r: 11, u: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -627616 (base 10) to base 13.\nAnswer: -18c892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 343303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m = 3*g - 12, 51*m + 10 = 3*g + 46*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 47.56 to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -14.52 less than 39048\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -10, -17, -0.87 in increasing order.\nAnswer: -17, -10, -0.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does -222646 = -222646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -381 - -836. What are the prime factors of p?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 6. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -3*a**3 + 34*a**2 + 2. Let l(k) = 7*k**3 - 69*k**2 - 5. Give 2*l(n) + 5*y(n).\nAnswer: -n**3 + 32*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q + 1. Suppose 0*o = 2*d + 3*o - 3, -4*d = 4*o - 8. Let j(c) = -1. Determine d*j(w) + z(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (955\/(-382))\/((-6)\/((-2304)\/20)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 2*d + 69. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1321594 or 1321473?\nAnswer: 1321594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.4 (c) 0.2 (d) 4 (e) -0.147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*b**5 + 440*b**4 + 446*b**3 + 112*b**2.\nAnswer: -2*b**2*(b - 56)*(2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3 - 110639*t**2 - 173066400*t - 67208539212.\nAnswer: (t - 112187)*(t + 774)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 448900 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/12)\/(-4*11\/66).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.13 + 1.13. Suppose w + 2 = -2. Let f be (-2)\/(-4)*w\/(-11). Which is the third smallest value? (a) 2\/9 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001307077499 to 7 dps.\nAnswer: -0.0013071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 203814.9us?\nAnswer: 203.8149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 34*j - 37*j - 384. Let b = 894\/7 + j. Sort b, -4, 5 in decreasing order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, s: 1, q: 1, m: 1, j: 3}. Give prob of picking 1 m and 2 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20 + 23. Suppose -9 = -2*q + m - 1, w*m = 0. What is the least common multiple of 2 and 21*3\/9 - q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of -j**4\/2 + 113*j**3\/3 - 950*j - 1168. Differentiate m(b) wrt b.\nAnswer: -6*b**2 + 226*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102674110667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2 (b) -6\/13 (c) 2\/7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 189257614233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f - 24 = -6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 7314 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -2*m + 3*m - 17*m**3 - m**2 - 5 + 16*m**3. Let z be x(0). Let l = -1 - -6. What is the second biggest value in 2\/5, l, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 22\/4 + 1\/(-2). Suppose -5*g = 10, -4*b + a*b - g = 5. Is 48\/17 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**6\/l*l\/l**(2\/3)*(l\/(l\/(l**(1\/7)\/l)))\/l**(-5))**(13\/7))**(14\/5) assuming l is positive.\nAnswer: l**(1144\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 23904656893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 396 - 238. Let q = -85 + h. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x*x**(-6\/5))\/(x**(-16)*x))**(-1\/24))**(1\/21) assuming x is positive.\nAnswer: x**(-79\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of a**2*d - 34686*a**2 + a*d**2 - 3841*d**2 wrt d?\nAnswer: a**2 + 2*a*d - 7682*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -10954 (b) 201 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -183*r + 1215261013 = 388*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -152, -408, -824, -1394, -2112, -2972, -3968?\n\"Answer: k**3 - 86*k**2 - 5*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 - 7*f**2 - 6*f + 2. Let p be 1\/2*-4 - 3. Let o be k(p). Let h = 33 + o. What is the remainder when 42 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7355 is divided by 66.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 - -9. Suppose 2*p - p = f. Factor 2\/3*x**4 + 0*x**3 + 0 - 2\/3*x**2 + p*x.\nAnswer: 2*x**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4760 times 0.2?\nAnswer: -952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*s + 8*s - s - 93*s**2 + 52*s**2 + 51*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 - 9*f - 5. Let p be m(10). Let u(y) = -2*y**2 - 3*y - 1. Let z(v) = -v**2 - 2*v - 1. Calculate p*z(r) - 3*u(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*h**2 - 193*h + 6 + 0*h**2 - 107*h - 5 - 3*h**2.\nAnswer: 3*h**2 - 300*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*o - 31*o + 3*o**2 + 2*o**3 - 5 + 3 to the form m*o + j*o**2 + c + v*o**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5348 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*v - 3 = 39. Suppose -k + 2*k = 3*y - 1004, -v*y = 2*k - 1016. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of -1877*f**3\/3 + 3*f**2\/2 - 6*f + 1. Let v be w(-7). Round v to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -158, 72, 5, -8 in descending order.\nAnswer: 72, 5, -8, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of w**7\/1260 + w**6\/90 + w**5\/20 - w**4\/4 - 37*w. Let i(v) be the third derivative of o(v). Factor i(y).\nAnswer: 2*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**5\/5 + 28*t**4\/5 + 64*t**3\/5 - 896*t**2\/5 - 512*t\/5 + 7168\/5 = 0. What is t?\nAnswer: -4, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3660*a**3 - 57980*a**2 - 9285*a + 80 = 0 for a.\nAnswer: -1\/6, 1\/122, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*o**2 + 4*o**2 - 51*o**3)*(-3*o - o + 2*o) + (-2*o + 2*o - 2*o)*(132 - 255*o**3 - 132) to l + f*o + v*o**4 + i*o**3 + p*o**2 and give v.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 7 = -2*x - 9, x + 11 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.5 + 0.2. Let c = -45 + 49. Sort 2\/11, x, c in increasing order.\nAnswer: x, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by -475.\nAnswer: -6\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - q - 1. Let r(t) = -2*t**2 - 3*t + 6. Let v(f) = -r(f) - 4*w(f). Let h(l) be the first derivative of v(l). Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**(-2\/3)*c*c*c)\/c**(-8))\/(c**(-2\/7)*c\/((c\/c**(-1\/9))\/c)))**48 assuming c is positive.\nAnswer: c**(10816\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 75411657 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3824698?\nAnswer: 2, 397, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -5b77 (base 13) to base 6\nAnswer: -135530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127788836.\nAnswer: 2, 7, 73, 101, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -38*u**4 + 983*u**3 + 135817 with respect to u.\nAnswer: -152*u**3 + 2949*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((-46)\/115)\/((-2)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 5, -2260, -80 in descending order.\nAnswer: 5, -1, -80, -2260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2942103?\nAnswer: 3, 43, 22807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 279031 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4228866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 1)*(2 - 3 - 1)*(-13 + 2*m + 13).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96289 is divided by 3100.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-27)\/6)\/((-4)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5759 - -4003. Let f = 3461 + z. Does 2 divide (4\/10)\/(f\/425 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (110\/(-15) - -4)*402\/(-1675). Which is the third biggest value? (a) j (b) -7 (c) 0.4 (d) -0.3 (e) -0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = 3*l, 1083*l + 1081*l - 45 = 5*u + 2168*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 2298 = -3*n, -2*l - 2*l + 4596 = -2*n. List the prime factors of l.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001032958167 to 6 decimal places.\nAnswer: 0.001033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20120 - -1002111?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3943, 3959, 4021, 4159, 4403?\nAnswer: 4783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-45 + 20 + 245)*(4*u**5 - 3*u**5 + 0*u**5) + 2*u**5 - u**5 - 2*u**5.\nAnswer: 219*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1 <= 281.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 36*g**2 + 103*g + 26. What are the prime factors of t(-7)?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1501 + -18874. Is (-1)\/(104241\/z - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of -n**8\/13440 + n**7\/2520 - n**6\/1440 + n**4\/12 + 3*n**2. Let k(v) be the second derivative of j(v). Factor k(i).\nAnswer: -i*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*z - 152 = -122 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24 - 11869\/(-494))*-186 + 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -20.7 - -21. Suppose 5 = -3*c - o, 3*c + 0*o + 3 = -3*o. What is the third smallest value in c, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w - 70. What is y(6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of 3*d**5\/20 + d**4\/24 + d**3\/2 + 329*d**2. Suppose 2*i = 3*a - 6, -5*a = 10 - 0. Is x(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(3*(-2 + sqrt(2880))*-4*4*1)**2.\nAnswer: -13289472 + 442368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -3*z + 2*o + 32, 0 = -2*z - 5*o - 32. Calculate the common denominator of -50\/189 and (-4)\/z - 340\/(-48).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 35999063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*3*(-3)\/(-18). Let s(v) = 2*v - 37. Let x be s(-13). Let i = -57 - x. Solve k + c = -d, 1 = 5*k + 2*c - i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 + 1 - 3)*(-5 + 9 + 3)*(1 - 4*q**2 + 7*q**2 + q**2) to a + l*q + h*q**2 and give h.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2740889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 - 135. Suppose 570 = 3*x + 3*m, 0*m = 3*m. Let r = h + x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 + 7*w - 13. Let v be u(-9). Suppose v*p = o - 24, 3*p + 6 = p. Does 2 divide (-3 + (-32)\/(-12))*o*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 4928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*g + 4*g - g)*(3 + 3 - 5) + (-g + 13*g - 2*g)*(26 - 36 - 56))*(0 - 1 + 2).\nAnswer: -662*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 2 + 52*d**2 + 7 + 7433*d - 7437*d.\nAnswer: 52*d**2 - 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -7*a**2 - 132*a + 31. What is p(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12.5 - -12. What is the nearest to -0.3 in 8, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 + 5*j**2 + j - 1. Suppose 6*l = 2*v + l - 8, -5*v - 5*l + 20 = 0. Suppose z = 4, -3*f = -f + v*z - 26. Is o(f) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 208 and 7748.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 1 - 3)*(0*x + 5*x + 19*x) + 0*x - 4*x + 2*x)*(x**2 - x**2 + 2*x**4).\nAnswer: 44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 10*n - 3*v - 9 = 0, -5*n - 3*v + 21 = 0. Suppose 0*q - q - 4 = -5*m, 2*q + 2*m = 40. Solve -n*h = h - q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttjzjjjytyztj. What is prob of picking 1 z, 2 y, and 1 j?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -d8fb - 2?\nAnswer: -d8fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be -8 - -8 - (1 + 4). Let o = -30.6 - -31. Which is the smallest value? (a) -1 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3\/5 - 72592*x**2\/5 + 290381*x\/5 - 217788\/5.\nAnswer: -(x - 3)*(x - 1)*(x + 72596)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + q + 0*q)*(-1 + q + 1) + 2 - 2 - q**2 + 42*q**2 - 7*q**2 - 3*q**2.\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11862 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - -8 - 6) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*x + 6*x + 8*x - 14*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1514*o - 1510*o - 324000 = 0. Suppose -3*x - 4*m + o = 0, 3*x - 42888 = 5*m + 38112. Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1\/8, -16, 2\/7, -2\/3, 269, -1\/4, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of -r**7\/84 - r**6\/16 - r**5\/8 - 5*r**4\/48 - 13*r**2\/2 + 20. Let f(h) be the second derivative of z(h). What is c in f(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(-15)*q)\/q*q)\/q**(4\/5)*q**7*q*q**1 assuming q is positive.\nAnswer: q**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 10\/22672969 and -71\/6183537.\nAnswer: 68018907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -46829\/2 - -23416. Let s = -2 - -2.1. Let j = s - -0.1. Which is the smallest value? (a) -3 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 10 = -36*t + 33*t, 0 = -2*w + 2*t - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (32\/(-208) + (-343)\/52)*(-3499 - 1)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -5, 2\/215, 1\/2, -32, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -170 + 679\/4. Which is the third smallest value? (a) s (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1150957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -33, -5\/4, 3\/5, -5, 2 in decreasing order.\nAnswer: 2, 3\/5, -5\/4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 50, 1\/3 in decreasing order.\nAnswer: 50, 1\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n**2\/2 + 17629*n\/2 + 8814 = 0. Calculate n.\nAnswer: -17628, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1135, -1 in ascending order.\nAnswer: -3, -1, 1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 414 and 108342?\nAnswer: 2491866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 36 and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/66154 and -15\/16.\nAnswer: 529232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(-4)\/g))\/(g\/((g*(g*g**(-11)*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 469944403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 73161\/16 + -4570. Find the common denominator of y and -91\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1567611.768 rounded to the nearest 100?\nAnswer: -1567600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 833 - 1657 + 827 + a. What is the remainder when 269 is divided by k(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 37670269.89 to the nearest 10000.\nAnswer: 37670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 556863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 8*x**2 - x + 4. Let l(r) = 7*r**2 - r + 3. What is 3*g(j) - 4*l(j)?\nAnswer: -4*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**3 - 3*u**2 - u + 5. Let q be v(4). Suppose -23 = -5*d + q. What is the smallest common multiple of d and (30\/8)\/(3\/16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - h - 220 = -4*t, -4*h + 220 = 4*t. Let r be (4\/10)\/(11\/t). Find the second derivative of 0*f - 10*f**4 - r*f - f + 6*f wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 3*g = 0. Let r be 6 + (0 - (6 + -2)). Solve 5*x + 4 = 4*n, 5*n + r*x + 11 + 17 = g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 10:01 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -4*y + 8, -2*y + 5*i - i + 16 = 0. Let q be (0 - 1\/(-7))*2. What is the closest to q in 1\/2, y, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + 0)*-5)**2 - (4 + 2*sqrt(3)*3)**2) + 5 + sqrt(1200)*2*-2.\nAnswer: -128*sqrt(3) + 2581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 11, k: 2, b: 5, p: 1}. Give prob of sequence vv.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sqhqssqhshp. Give prob of picking 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -75, -78, -79, -78?\n\"Answer: o**2 - 6*o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4 + 7 - 7 - 21*z + 3*z with respect to z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(216)\/sqrt(8) + sqrt(27))\/(sqrt(99)\/sqrt(539)))**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 22 (base 10) to base 5\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from gtrrrzrg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 4*t + 3. Let n = -5787\/161 + 251\/7. Is t at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 0*s + 3*s = -89, 2*s + 6 = 0. What is the remainder when 29741 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b - 1500 = 614. Suppose -4*w = -3*x - 381, 3*w - 3*x + 14 - b = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wh when two letters picked without replacement from {s: 3, w: 3, c: 6, h: 6, t: 2}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 70427 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(847) + 1*sqrt(847) - sqrt(252))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 570*p**3 + 2*p**2 - 4*p + 2. Calculate the remainder when r(1) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b**2 + 12*b - 6. Let i be k(5). Suppose -c = i*y - 164, 5*c - 5*y - 842 = -3*y. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 45*o - 24. Let z = 115 - 121. Let c(a) = -a**3 - 7*a**2 - 9*a + 1. Let r be c(z). Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1045432198?\nAnswer: 2, 1741, 300239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**2 - y - 1. Let i(f) = 16*f**2 - 6*f - 6. Let t(k) = -i(k) + 6*j(k). Let o(d) = d**2. Calculate t(o(w)).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g - 5, 0 = -2*k + 3*g - 7 - 8. Suppose k = -7*o + 40 - 5. Suppose -2*c - 3*m = -161, o*c - m = 296 + 149. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mtizn. Give prob of sequence min.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -146532 + -196?\nAnswer: -1466c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, -2\/11, -144\/11, -102926?\nAnswer: -102926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 2911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.01 + 1.93. Let k = u + 0.08. What is the closest to 2\/5 in -5, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d + d + 5*d)*(-1 - 1 - 20)*(-1 + 0 - 2) as n + o*d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 148 + -69. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 87513012 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: Suppose 4*h = -2*z - z - 19889, -4*h + 4*z - 19868 = 0. What is h rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - ((-5 - -4) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.018 - -4.018. Which is smaller: x or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -158 - 12*o + 102 + 2*o. Let x be c(-6). Solve -x*q = -2 + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -11*x. Let p(d) = -14*d - 1. Let t be p(-2). Let u = t + -11. Suppose -f - f - u = 0. Let i(y) = -4*y. What is f*i(h) + 3*g(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-l + 2*l - 3*l)*(-1327*l - 333*l + 469*l) + 2*l**2 - 2*l**2 + 2*l**2 in the form q*l + w*l**2 + s and give w.\nAnswer: 2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 - p. Let i(q) = 12*q**3 - 72*q**2 + 72*q. Give 5*i(b) + 360*s(b).\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 139608 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19504785 is divided by 66797.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**8\/k**3*k*k\/k**(1\/8)*k\/k**(-2) assuming k is positive.\nAnswer: k**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 4, -338, 1 in ascending order.\nAnswer: -338, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.8650296421 + -0.13.\nAnswer: 4.7350296421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1744679913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 125132676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2054 - 260. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of 0 - 1\/6*p**4 + 35\/6*p**3 - 148*p - 105\/2*p**2. What is the derivative of g(m) wrt m?\nAnswer: -4*m + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -35 (base 6) to base 13.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (11\/(-3))\/(-11)*57\/(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**2 - 2*f. Let b be u(4). Let a be b\/(-60) + 48\/5. Solve a + 6 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 58\/5 and -3\/160499.\nAnswer: 802495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*l + 34*l - 6 = 5*f + 19*l, -5*f - 3 = 2*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1100 + 116561?\nAnswer: 115461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -32 times 326?\nAnswer: -10432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 PM and 9:19 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 7376500 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -8*o + 64. Let c be s(9). Let r(a) = -a**2 - 2*a. Let w be r(2). Let y = c - w. Solve 4*h = f - 15, y*h - 2*h = f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2\/(-3) - 5285\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/149 in 2\/11613, -1, -0.4?\nAnswer: 2\/11613","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 + 47*j**2 - 166*j - 134. Calculate o(43).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 114844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 - 0. Suppose 2*f - 4*f = 46. Let x = f - -22. Is x at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 253225 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2.195634815 minus -0.25543?\nAnswer: 2.451064815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - z + 2*h - 3, 3*z - 15 = 2*h. Suppose 2*u = -z*u + 105. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 4:36 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -314969 + 314969 + 13*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 849 is divided by 257?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = 5*g + 45, 4*c - 2*g + 44 = 2*c + 14 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of 271*b**4\/2 + 18*b**3 + 7*b**2\/2 + 1687. Find the third derivative of h(u) wrt u.\nAnswer: 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 335.3 + -309.212. Let q = g + -26. What is q rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-378)\/(-15) - 2)\/(2\/5). Calculate the greatest common divisor of 29 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -110 (base 4) in base 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -11*c*m**3 + c*m**2 + 389*c - 14*m**3 wrt m?\nAnswer: -33*c*m**2 + 2*c*m - 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -50.19296198 - -0.19282498. Let s = 67 - 17. Let g = t + s. Round g to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1, 6, 11, 16, 21, 26?\n\"Answer: 5*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 1083 - 1079 = 0. Let c(g) be the first derivative of -2*g**3\/3 - 3*g**2\/2 + 2*g + 1. Let z be c(u). Put -5, z, 2 in increasing order.\nAnswer: z, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the third derivative of y**3 + 32*y**2 + 0 + 2*y - 1\/24*y**4. Determine i(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -1. Let v(u) = 8*u - 12. Determine 12*k(l) - v(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-70)*(-92)\/(-138))\/((-3)\/30).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -492 divided by -6?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g**2 + g - g + 5*g**2 - 7*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3 + -5 + (-26)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 1 = -3*h - 1, 2*n = -5*h - 24. Let j be ((-4)\/(-3))\/n + 2. Let u = j - 2. Which is the closest to 1? (a) u (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3387062.082 take away -0.34?\nAnswer: -3387061.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1344*h**2 - 2*h - 1338*h**2 + 4*h.\nAnswer: 6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 8*w**2 - 68*w - 12. Let c be m(22). Suppose 5*j = 7*j - c. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -247*v + 3*k + 1 = -242*v, -k = 2*v + 3 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3317 and 7308374?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 119841423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -2*x**3 - 5*x**2 - 3. Let b(p) = 3*p**3 + 6*p**2 + 3. Determine 3*b(w) + 4*k(w).\nAnswer: w**3 - 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t + 2*t - t)*(-3*t**3 + 13*t**3 - 2*t**3 + 2).\nAnswer: -16*t**4 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m**2 - 2511*m + 378 + 2511*m.\nAnswer: -m**2 + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -56 - -154. Let x = r + -137. Let b = 38.96 + x. Sort b, -0.1, -2, 4 in descending order.\nAnswer: 4, b, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5494 - -313208\/57. What is the common denominator of o and -17\/129?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 586922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 39060 and 175770?\nAnswer: 351540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the third derivative of p**6\/120 + p**5\/60 - p**4\/24 - p**3\/3 + 3*p**2. Let a be o(-2). What is the smallest value in 2\/19, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 3*(5 + sqrt(1452) + 2))**2.\nAnswer: 2112*sqrt(3) + 13324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**5\/7 + 18472*s**4 - 54*s**3\/7 - 3491308*s**2\/7 - 6465248*s\/7 - 443328 = 0. Calculate s.\nAnswer: -64652, -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*(o**1\/o)\/o)\/o**(-1\/9)*(((o\/(o\/o**8)*o)\/o)\/o)\/o**(1\/4) assuming o is positive.\nAnswer: o**(247\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(3520)*2 - sqrt(3520))*-3)\/(6*sqrt(15)\/sqrt(3) - (sqrt(405) - sqrt(405)*-2)).\nAnswer: 16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x + 3, u = -2*x - 2 + 12. Suppose -5*f - 26 = -2*n, -u*n + 3 + 13 = -f. Suppose -n*k = -6*k + 1011. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 3*u**2. Let z be w(1). Let x be 1 + (z - (-222)\/(-57)). Is 0.1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange h**2 + h**3 - 2*h**4 - 114*h + 3 + 3*h**4 + 113*h - 2*h**2 to k*h**4 + f*h + l*h**2 + p + m*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 3*h - 10, -4 = -48*y + 47*y - 2*h. Suppose -j = 2*j + 9. What is the tens digit of y\/(-12) - (5440\/j)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + -4. Let c be -2 + k*1\/(-3). Let z be 5\/2*4\/(-25). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h + 6. Let p be s(-4). Let c(t) = -t**3 + 3*t + 2*t + 0*t**3 + 3 - t**p. Suppose 4*v - 4*d = -5*d - 11, -5*v + 2*d - 17 = 0. What is c(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 8 = 3*i - 12, 4 = 2*y. Let n = 5 - i. Let b = 1 - n. Solve -6 = 2*u + z, -u - 2*z + b = 3*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 922904293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 14259733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - 0. Let h be (-4)\/(-6)*75\/10. Suppose 34*i + 9 = 37*i. Solve -4*t = -t + h*z + 6, -t - o = i*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 440 a factor of 1950466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4 + 62*j + 81*j - 15*j.\nAnswer: 128*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34167 is divided by 17078?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 4*s - 9 = 0, -64*c + 4*s - 7 = -61*c. Let v(w) = 1. Let a(h) = -5*h - 1. Calculate c*v(g) - a(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 1\/3*g**2 - 2\/3 - 1\/3*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 11, 3\/2, 0.11, 5, 3\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -164723 - -3?\nAnswer: -164720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -15*(-3)\/18*(-32)\/(-520)*13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + g - 3 + (0 - 1 + 0)*(6*g + 2*g - 3*g) - 25 - 2*g - 12 + 4*g + 4 + g - 4 + (-5 + 4 - 1)*(2*g - 3*g + 3*g) + 2 - 2 - g.\nAnswer: -6*g - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000892969036 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 5*w - 762. Let n(p) = 253. Let l(j) = 3*n(j) + r(j). Let b(c) = -5 + 2 - 1 + 6*c. Give -3*b(o) + 4*l(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllllxxxlll. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 + 7*f - 3. Let z be t(-8). Let v = -153 + 158. Suppose 0 = 5*s - h + 17, -4*s + 7*s - 1 = -v*h. Sort 11, s, z, 1 in increasing order.\nAnswer: s, 1, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 115.154 + -0.154. Let v = -115.868 + t. Let h = 1 + v. Round h to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/4)\/(-32 - -8)*-2. Let o = 157 + -157.5. Let y = -46 + 137\/3. Which is the nearest to -2\/17? (a) o (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/(u**(-4)*u)*u\/(u\/(u\/(u**(-5)*u)))*u*(u**6\/u)\/u**(-2\/5))**27)**(-4\/21) assuming u is positive.\nAnswer: u**(-2952\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98085 = -86*h + 40203. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 61 = j - 57, -j + 8 = m. Solve -d = -2*d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 39 - 14. Let l = -216 - -315. Calculate the remainder when l is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -23*z**2 - 154. Let o(d) = 2*d**2 + 14. Let l(b) = -22*o(b) - 2*v(b). Let i(c) = -249*c + 1. Calculate i(l(k)).\nAnswer: -498*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -747, -5\/2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -263*w**2 + 962*w**4 - 260*w**2 - 98*w**2 - 84*w**2 + 80*w**2 wrt w.\nAnswer: 23088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4aa + 3?\nAnswer: 4ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, 14, -1054.\nAnswer: -1054, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1075113 - 4?\nAnswer: 1075107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sum -185 and 0.2346985061.\nAnswer: -184.7653014939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 PM and 12:58 AM?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 68, 186, 370, 620, 936?\n\"Answer: 33*k**2 + 19*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 195 = 5*j, -6 = 3*m - 0*m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11088 + -22643. Let j = f - -6655. Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -13, -5, -2, -1.06, -54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 60*a - 47. Let o(t) = -7. What is 6*o(c) - p(c)?\nAnswer: -60*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/2)\/d)\/d**(-6))**12 assuming d is positive.\nAnswer: d**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/380730 and -73\/847707?\nAnswer: 415376430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19847, -19772, -19575, -19196, -18575, -17652, -16367?\nAnswer: -14660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**2 + 17*h - 11. Let b = -17 + 24. Let z be a(b). Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 2*l = -95, 0 = 4*x - 3*x + 4*l - 45. Let u = 55 - x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the first derivative of -9*y**5\/5 - 345*y**4\/4 - 149*y**3 - 111*y**2\/2 + 804. Determine x so that j(x) = 0.\nAnswer: -37, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-286)\/(-2) - (-6)\/(48\/(-40)). Calculate the highest common factor of i and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of p**2 + 56 - 2*p**2 - 2*p**2 + 21*p**2 - p**2 - 6*p wrt p.\nAnswer: 34*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 77 in 2\/3, 5, 0.3, -1\/6, 318.4, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i + 1. Let t = 2 + 68. Suppose -4*m - 4*k = -56, -5*m = -6*k + 2*k - t. Calculate the remainder when m is divided by s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 131\/2540 or 0?\nAnswer: 131\/2540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is m in 6*m**4\/7 + 25090*m**3\/7 - 133944*m**2\/7 + 167480*m\/7 = 0?\nAnswer: -4187, 0, 2, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w\/(w\/(((w**(-3\/4)*w)\/w)\/w))*w)\/(w**12*w))**(-2\/45))**(17\/6))**11 assuming w is positive.\nAnswer: w**(2057\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118808 is divided by 39567.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -14*x - 68. Let n be u(-5). Let -4\/3*h**2 - 1\/3*h**5 + 0 - n*h**3 - 1\/3*h - 4\/3*h**4 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 times -1677908.89?\nAnswer: -671163.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3612611?\nAnswer: 601, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1923*w + 4157*w - 2000*w to the form v*w + a and give v.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (85\/(-60) - (-3)\/4)\/(20\/(-1780530)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = -2*o - 14, -2*o + 714575*s - 2 = 714579*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-10) - 112\/(-10). Let r = 13 - q. Sort 0, 3, r in decreasing order.\nAnswer: 3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -5363, -10747, -16125, -21497, -26863?\n\"Answer: 3*f**2 - 5393*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17.36 - 17.3469992. Let s = 29 - 28.987. Let j = r - s. Round j to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + -8. What is the third derivative of 5*o**2 - 2*o**2 + 6*o**6 - 8*o**i wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 881549 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 3*o + 11 = 0, -4*o - 8 = -4*y - 0*y. Let t = -0.02 + 0.04. Let q = t + 3.98. Sort 0.2, q, y.\nAnswer: 0.2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 44 + -50. Let h(d) = -d - 1. Let a(j) = 10*j - 15. Let x(i) = -a(i) + 6*h(i). Let z be x(k). What is the highest common divisor of 42 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**10*a*a)\/a**0*(a**(-2\/13))**29 assuming a is positive.\nAnswer: a**(98\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 6213 divided by 109\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h + 65968 = 11*h + 57*h. Calculate the greatest common factor of h and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 365163414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -4*s + 13*s. Suppose -s*k - 10*k = -16. Does 18 divide -1 + (-2 - k) + 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/196 and (-44429)\/3430 - 117\/(-9).\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 5*a**2 - 2*a - 2. Let r be d(2). Suppose 4*t - 22 + 2 = 0. Suppose -t*q + 7*g - 22 = 3*g, q - 4*g + r = 0. Which is smaller: q or -7\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18662 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -j + 35. Let h(p) = p**3 + 36*p**2 + 69*p + 38. Let t be h(-34). Solve -j = n + t*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5767*((-4)\/(-12))\/((-2)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -228 by -114.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6.436 or -1?\nAnswer: 6.436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5698710.\nAnswer: 2, 3, 5, 23, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 - 38*b**2 + 76*b - 176. Calculate m(36).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*b - 20*b + 5*r - 32 = 0, -4*r = -4*b - 8. Let i(o) = -3*o**3 + 13*o**2 + 2*o - 2. Let t(a) = 4*a**3 - 14*a**2 - 3*a + 3. Give b*t(m) + 3*i(m).\nAnswer: -m**3 + 11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2032?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -26*z - 729 + 651 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -14*h + 5*h + 38 - 160*h**3 - 162*h**3 + 323*h**3 in the form t*h**2 + a + r*h**3 + z*h and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2481, -11144, -25571, -45768, -71741?\nAnswer: -103496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/(-55) + (178\/15 - (34 + -22)). Which is the second biggest value? (a) 5 (b) k (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -150 by -50.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -66*g + 5. Let x be h(-2). Let p(u) = -62*u - 66*u + x*u. Let a(i) = 2*i - i - 3*i. Calculate a(p(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27089618.\nAnswer: 2, 103, 107, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 19*w**3 - 5*w. Let s(v) = -9*v**3 + 3*v. Let k = -278 - -275. Determine k*u(h) - 5*s(h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 615681258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -26 - -28. Let b be 40 + 3 + 1 + w. Is 13 a factor of ((-39)\/2)\/((-69)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-8)\/(-3*3\/90). Let a = s + -74. Calculate the highest common factor of a and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 12*j**2 - 4*j. Determine l(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - -1. Suppose h = -2*h + 3. Suppose -5*a + j + 92 = 0, -65 = -g*a - 3*j + h. Solve 0 = -y - m, 5*y + 0*m = m + a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 96358 divided by 4.\nAnswer: 48179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48\/180 + ((-693528)\/(-180))\/(-71).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -2*f + 2. Let q be r(-6). Let d be q*1 + 1 - -1. Suppose 2*l = 2*c - 28, l - d = 5*l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 358352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001966570176 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - -2. Suppose 0 = y*q - 43 - 57. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -21*t**4 + 2*t**4 + 4*t**4 - 93*t**2 + 4*t**4 - t**3 - 227*t**2 wrt t?\nAnswer: -264*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -699, -1491, -2279, -3063, -3843, -4619?\nAnswer: -5391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120*x - 192 = 112*x. Calculate the least common multiple of 32 and x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -6*q**2 - 24*q - 12. Let d(v) = v + 1. Let o(u) = -12*d(u) - f(u). Find the second derivative of o(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 68aa + d3?\nAnswer: 699d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vveeeeexeeeeexrxeex. What is prob of picking 2 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 513675 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 8807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 635612.\nAnswer: 2, 131, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 123.5478 to 1 dp.\nAnswer: 123.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4 - -4)\/(-17 + 10 - -2). What is m in 0 + 1\/7*m**5 + 1\/7*m**4 + 0*m**2 + 0*m**3 + y*m = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r**(3\/4)\/r)*(r*r**(-2)*r*r)\/r)\/(r**(1\/3))**(-29) assuming r is positive.\nAnswer: r**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*c + 8380 = 17*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4647618 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34082 + -1840363\/54. Calculate the common denominator of -77\/324 and o.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 11*d. Let x(v) be the second derivative of v**3\/6 + 5*v. Calculate x(g(q)).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**2 + 8*x + 4. Let u be g(8). Suppose -136*h + u*h + 108 = 0. Solve 5*t + 2*z + h = -2*z, 5*z = -3*t - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138558 = 3*l + 4*l. Suppose -23*h = -29*h + l. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -353*v - 38. Let m(o) = 1061*o + 103. Calculate 11*f(y) + 4*m(y).\nAnswer: 361*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 7:44 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -133\/146256 and -131\/62304.\nAnswer: 17258208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -135?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -24 (base 5) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 4*a = -20, 4*a = -16 - 4. Suppose 0 = 25*l - 20*l. Solve 5*x + l*x + 5 = g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 6.3. Let f = 0.152 + 4.848. Which is the third smallest value? (a) p (b) 3 (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t + 15. What is the units digit of i(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -34, -71, -110, -151, -194, -239?\n\"Answer: -n**2 - 34*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 + 5. Let o be 27\/6 - (-3)\/b. Suppose o*g - 9*g = -30. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-6\/5)\/(a*a*a\/(a\/a**6*a)))\/(a**(3\/4)*a*a\/((a**(4\/3)*a)\/a))*((a*a\/(a\/a**(-2\/3)))\/((a\/a**(-2\/3))\/a))\/(a**(2\/15)\/a**(2\/3)) assuming a is positive.\nAnswer: a**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 - 4 - (-2 + 0). Suppose m = -0*u + 5*u - 25. Find the second derivative of o**5 - 3*o**u - 4*o - 4*o**5 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**3\/4 - 150*w**2 - 1209*w\/4 - 303\/2.\nAnswer: 3*(w - 202)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = -3*d + 269. Suppose -3*x + 29 = 5*z, -4*x - 12 = -5*z - 4. Suppose -d = -x*u - 3*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -3*t**2 - 29*t + 14. Let x be g(-10). Which is the closest to -7? (a) -2 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 2)*(7 - 2 - 2)*(9 - 9*a - 5*a + 2*a**3 - 8).\nAnswer: -6*a**3 + 42*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -84*j**3 - 1458608*j**2 + 1458612*j**2 - 589*j**3.\nAnswer: -673*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*l - l + l)*(-1036*l + 11780*l + 21 - 21) to the form m*l**2 + t + r*l and give m.\nAnswer: 21488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 3691.5, -38, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1829791670 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 10389680 by 40.\nAnswer: 259742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 7*z**2 + 1303*z**3 + 0*z - 1302*z**3 + 0*z - 3 - 4*z**4 as n*z**4 + t*z**2 + j*z + m + x*z**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -3*a**2\/5 - 24000*a + 360027\/5 = 0. What is a?\nAnswer: -40003, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 1119 - 49283 = -n, -o + 3*n - 12052 = 0. What is o rounded to the nearest 100?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6\/(-4)*(-44)\/6. Let f be ((-5)\/(-2))\/(4\/(-8))*-1. Find the second derivative of f*s**5 - d*s**5 + 2*s - 5*s wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 + 25 + -2 + -13\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40\/96*2\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -13. Let l = u - 3. Is 58\/(6\/3)*l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 87319 and 797915?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 37581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**3 + 5*p**2 + 8*p - 9. Let g(t) = -t - 4*t**2 + 4*t**2 + t**3 + 0*t. Let b be g(2). Let k be z(b). Solve i - 8 = -k*i + 3*q, 0 = i - q - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 414531263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggagaaggee?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 40929 - -1?\nAnswer: 40930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) + -2 + ((sqrt(625) - sqrt(25))\/sqrt(5) - sqrt(5)))**2 + (2*sqrt(405) - (sqrt(5) - (sqrt(180) + 2)**2)).\nAnswer: 13*sqrt(5) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 8:22 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 15478071 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the third derivative of o**2 + 0 + 1\/6*o**3 + 1\/24*o**4 + 0*o. What is h(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = c + 11, 3*c - 7 = -8*n + 6*n. Put 2, 60, c, -5 in decreasing order.\nAnswer: 60, 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 7*h - 61. Let d be g(9). Solve d*x + 3*z - 4 = 3*x, -5*x - 5*z = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**5 - u**5 + u**5 + (u**4 + u**4 - u**4)*(-2*u - 3 + 3).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10080679\/6 or 1680114?\nAnswer: 10080679\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 8*v**5\/5 + 22*v**4\/5 - 22*v**3\/5 - 92*v**2\/5 - 8*v + 16\/5 = 0.\nAnswer: -2, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-150)\/8)\/(-31 + (-5819)\/(-184))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the first derivative of 5*z**6\/6 - 11*z**5 + 155*z**4\/4 - 35*z**3 + 1217. Find n such that x(n) = 0.\nAnswer: 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3328673 is divided by 96?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 4*y**2 + 9*y - 12. Let j be o(-4). Let t(p) = 27*p - 11*p + 24*p - 5*p + j*p. Let u(g) = -2*g. Give t(u(a)).\nAnswer: -102*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3668089057 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -30 - (65 + -19 + -63).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -4\/4701 and -20\/7.\nAnswer: 32907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be 14\/6*(-2)\/(-7). Let k = 9.7 - 8.43. Let o = 0.87 - k. Which is the nearest to 0.1? (a) h (b) -4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3610 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) 35 (c) 5 (d) 0.021854 (e) -0.2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.4 - 2. Let s = c - -0.7. Sort 8, -1, s in descending order.\nAnswer: 8, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**3\/3 - 1294*k**2\/3 + 2165*k.\nAnswer: -k*(k - 5)*(k + 1299)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 1\/6 (b) 448919 (c) -3\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(3)*1 - -3*(0 + sqrt(3) - sqrt(3)))*2.\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 770 is divided by 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*u + 16464 = -52*u. Let a = u - -36472\/31. Is a greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 174 + -172. What is the smallest value in -2, 1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 + 42. Let f = 76 + -75.7. Let t be (8\/10)\/((-6)\/15). Put h, t, f in increasing order.\nAnswer: t, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-8 + -2)\/(-2)*11?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 52031, 104016, 155957, 207854, 259707, 311516?\n\"Answer: -22*i**2 + 52051*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21 - 21. Suppose 3*p = 4*m - 20, m = 3*m + 4*p + 12. Let r = 3 - m. Solve d = -4*t + r - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 360 + -367. Is (-2)\/c + ((-1004)\/(-14) - 3) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -29 - -47. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-32)\/(-12))\/4*3\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the second derivative of -w**6\/6 - 4*w**5 - 75*w**4\/4 + 135*w**3 + 51*w. Factor d(z).\nAnswer: -5*z*(z - 2)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - (8 + 1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1\/3 - 17080\/(-15) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -2*x**4\/15 - 8*x**3\/5 + 28*x**2\/15 + 40*x + 110\/3 = 0.\nAnswer: -11, -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:21 AM and 11:47 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/r**(-2\/3))\/(r*r\/(r**5\/r*r)))**42)**44 assuming r is positive.\nAnswer: r**8624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*m + 2*m - 45, 0 = -9*d + 8*d - 7*m + 63 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -341 < -343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8218 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10468, -10470, -10472, -10474, -10476, -10478?\nAnswer: -10480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8823*j + 8801*j - 16265 + 52609 = 0. Which is the fifth biggest value? (a) -4\/7 (b) 0 (c) -2 (d) j (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-r**2 - 2 + 23 - 337 + 0*r**2)*(-1 - 2 + 1) in the form k + u*r**2 + g*r and give k.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, 72, 11, 2, -8, 7 in decreasing order.\nAnswer: 72, 11, 7, 3, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-2 + -3 - (-6 + 3)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 151204 divided by -149\nAnswer: -151204\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes after 11:49 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 AM and 2:54 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4350, -8694, -13034, -17370, -21702, -26030, -30354?\nAnswer: -34674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 + 410 = 3*q. Suppose 5*c - q = 119. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1825 (base 9) to base 5\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*a**3 - 10*a**3 - 15*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 28\/9 and -32\/129?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 24\/11 (b) -4\/3 (c) -0.2 (d) 0.0481 (e) -5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (64 - 56 + 286 + 10)*(3*q - q**2 - 3*q) to b*q + f*q**2 + v and give f.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31327 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -66*b**2 + 10*b. Let i(y) = -66*y**2 + 8*y. Give -3*i(h) + 2*w(h).\nAnswer: 66*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*k = -461 + 117 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u - 26. Let c be z(-7). Let g be (-16)\/c + (-2)\/5. Suppose -5*b + 65 = -g*b. Calculate the remainder when 22 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (25\/4)\/(4302\/(-4296) - -1). Let p = x + 40316\/9. Calculate the common denominator of p and 0 - (885\/18)\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 10:08 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5491.69 litres in millilitres?\nAnswer: 5491690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 + 5. Let t be (-2 + c)*(-6)\/(-9). Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34, -140, -308, -532, -806, -1124, -1480, -1868?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -21120?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.65 - 0.55. Which is the fourth smallest value? (a) 15 (b) -5 (c) 2\/15 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-22)\/10 + 1 + (-7)\/(-7). Which is the biggest value? (a) 2 (b) 4\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) 0.3 (b) 2.62 (c) 0.01 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12562?\nAnswer: 2, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -102 + 102 - 34*y in the form b + p*y and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 7*r**2 - 1264*r - 491. Suppose 0 = -4*n + 37 + 91. What is the smallest common multiple of n and c(181)?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-247)\/(-57) - 2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(273)\/sqrt(7)*6)\/sqrt(3).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 6*o**3 - o**2 - 10*o - 8. Let c(s) = -s**3 - s**2 - s. Let x(b) = -5*c(b) - j(b). Factor x(i).\nAnswer: -(i - 8)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 46 = -0*s. Suppose 5*n + 8 = s. Solve i - 8 = n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-94)\/(-12) + 1\/6. Does 13 divide -1 + c\/4 - -28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 115\/31353066 and -95\/198.\nAnswer: 344883726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -24967764*f**3 - 335679*f**2 - 2*f - 4.\nAnswer: -149806584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -11.56 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -4173785 by 76.\nAnswer: -4173785\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2635501?\nAnswer: 11, 23, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -18030 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 26981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than 3797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6671872503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 5*t + 15 = 0, 7 + 5 = 2*l + 4*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -122*k - 127*k = 2988 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) -18 (c) -2\/3 (d) 5 (e) 229 (f) -0.017 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 30\/(-90)*(2 - 20). What is the highest common divisor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6.625 - -5.84. Round k to two dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {j: 4, y: 4, m: 2, e: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is ((-55)\/5 - 8\/(-2)) + 120954 + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -27611, -110387, -248317, -441395, -689615, -992971, -1351457?\n\"Answer: m**3 - 27583*m**2 - 34*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d = 4*v + 5, -81*d + 5*v = -76*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 4:34 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 27 - 22. Suppose -y*f = -4*g + 19, 1 + 5 = -2*f. Which is the third biggest value? (a) g (b) 0.04 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.128 + -69.128. Put y, 3, -2\/5 in ascending order.\nAnswer: y, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide (144\/(-60))\/((-2)\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ghoggog. What is prob of picking 1 h and 2 g?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -97363, -389352, -875959, -1557184, -2433027, -3503488, -4768567?\nAnswer: -6228264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -9*r - 90. Calculate g(-24).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 45\/4 of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of -3*u**2 + 0 + 0*u - 1\/24*u**6 + 0*u**4 + 1\/30*u**5 + 0*u**3. What is the third derivative of d(t) wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-540)\/27)\/(-10))\/(8\/(-45)*(-90)\/(-27)).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-105)\/(-6))\/7*2. Let q(k) = -6 + k**2 + c + 4 + 2*k. Let g be q(-1). Solve 6*r = g*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-2\/19))\/v*(v\/(v*v**11))\/v*(v**(-2\/9))**50 assuming v is positive.\nAnswer: v**(-3970\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 20 = s, -s + 3*w + 80 = 3*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1559*l = -998*l - 51140 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 372 divided by -93.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2276 + -1753?\nAnswer: -4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2169552661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 4*l = -a, 1 = -l. Let r(q) = 610*q**3 + q**2 + 2*q - 3. Let v be r(a). Calculate the highest common divisor of 61 and v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11652408 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**3 + 4*b**2 - b - 1. Let j be r(-4). Solve j - 8 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*a + 27 - 13 - 5 - 9.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -7. Suppose -7*v + 3*v = 8. Sort 0, w, v.\nAnswer: w, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1161.0926 + -0.0926. Let u = 1118.32 - r. Let z = -41 - u. Round z to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.21, 3, 6314, 0.4?\nAnswer: 6314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 8*c**2 - c - 5. Let j(y) = -15*y**2 + 3*y + 9. Calculate 3*j(p) + 5*x(p).\nAnswer: -5*p**2 + 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1057460 times -0.5\nAnswer: -528730","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Round -795.494632 to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1406891189 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are -654\/49 and 20\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(36)\/(sqrt(2)*-2))\/sqrt(6))**2.\nAnswer: -4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i**3 + 2*i**4 + 0*i**3)*(-5*i + 3*i + 4*i) + (3*i + 2*i - i)*(2*i**4 + 5*i - 5*i) + i**5 + 0*i**5 - 2*i**5 + (-5 + 2 + 4)*(-2*i**5 + 2*i**4 - 2*i**4).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1163 - 1020. Suppose 5*b = v - 30, -145*b + z*b - 10 = 0. What is the smallest common multiple of 0\/(-1) - (-1 - 14) and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of 0*i**4 - 1\/60*i**5 - 2*i**2 + 23\/6*i**3 + 0 + 0*i. Is y(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 - ((-14)\/8 - -1). Which is smaller: -3\/38 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a factor of 205084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 185\/26, -0.08, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) -0.6 (b) -1 (c) 1 (d) -1.3 (e) 0.0218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12768.27 - -12883.2961. Let g = h - 115. Round g to 3 dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 + 14. Suppose -20 = -5*n, 0*n - 96 = -5*d + n. Let o = d - 0. Calculate the lowest common multiple of z and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -2*t - t + 89, 0 = -3*t + 2*j + 91. Let h = -7 - t. Let g = 61 + h. Solve -2*s = -5*l - g, 2*l + 2*l - 3*s = -27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 2*n**2 + 7*n + 9. Let w be i(-3). What is the second derivative of 61*l**5 + 74*l + 90*l**5 - 13*l**5 + w*l wrt l?\nAnswer: 2760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 4, 430, 5, 2 in descending order.\nAnswer: 430, 5, 4, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dwtjxjfxjjwtxwf. Give prob of picking 1 d, 1 j, 1 x, and 1 t.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q - 1. Let k(i) = -2*i**2 + 11*i - 6. Let c(u) = 6*d(u) - k(u). What is the second derivative of c(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-n**2 - 4*n**2 - 2*n + 8*n**2 - 18)*(1 - 3 + 0) - 2*n**2 + 3*n**2 - 4*n**2 to the form h*n**2 + d*n + r and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -80717610 to the nearest one hundred thousand.\nAnswer: -80700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18553290 divided by 265047.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - 2*n + n)*((5 + 8 + 7)*(0 + 2 - 6) - 4 + 3 + 3).\nAnswer: -78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 84236.88nm?\nAnswer: 0.08423688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*i**5 + 3*i**5 - i**5 + (15*i**2 - 71*i**4 - 15*i**2)*(-19*i + 2 + 55*i + 20*i).\nAnswer: -3978*i**5 - 142*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the second derivative of 0 - w - 17\/12*w**4 + 13*w**2 + 0*w**3. What is the first derivative of y(a) wrt a?\nAnswer: -34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5463, -21799, -49017, -87117, -136099, -195963, -266709?\nAnswer: -348337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 10474*w + 62836. Calculate b(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, -1136 in descending order.\nAnswer: 5, 4, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the third derivative of a**2 + 2\/3*a**3 + 1\/4*a**4 + 0 + 1\/60*a**5 + 0*a. Let f(i) = -i + 8. Let o be f(13). Calculate s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 22? (a) -0.4 (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 97590 and 32530?\nAnswer: 97590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 55 - (-6 - 220\/(-35))\/((-14)\/98).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is t in 5*t**2 - 9110*t - 1736520 = 0?\nAnswer: -174, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/516 - 3259\/903. What is the common denominator of 45\/28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 83.54 - 85.54. Which is the smallest value? (a) 5 (b) j (c) 10\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 4*m + 12553 + 50356 = 0, 12582 = a + m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**2 + 5*z - 7. Suppose -5*s - 17 = 13. Let r be u(s). Let f be 22 + -6 - 0\/r. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 529 divide 1088153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 154 + -153. Let t = -0.8 - 0.2. Let y = -1.4 - t. Put y, g, -1\/6 in descending order.\nAnswer: g, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1442286, -1442293, -1442300, -1442307, -1442314?\n\"Answer: -7*m - 1442279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5541435197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 s when three letters picked without replacement from {s: 4, o: 1, i: 3, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1801*h**2 - h**3 + 39*h**4 - 20 + 1803*h**2 + 139 + 268*h**4 wrt h?\nAnswer: 7368*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10262 - -10294. Solve -4*g - 3*l + 27 = -4, -3*g - 4*l + u = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**3 - v**2 + 3*v - 1. Let o be i(-3). Let q be 0*(-2)\/o*2. Let j(h) = h**3 - h**2 - h + 41. Does 14 divide j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13)*-1*-3 + (sqrt(13) - ((sqrt(637) + 2 - sqrt(637)) + sqrt(637))**2).\nAnswer: -641 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 7b2073c + -2?\nAnswer: 7b2073a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5648 - -2740. List the prime factors of p.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 65 = 2*n, -4*n + 103 = 4*c - 17. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/3))**19*(t\/(((t\/t**(-3))\/t)\/t))**(-2\/59))**(-14) assuming t is positive.\nAnswer: t**(31304\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-14))\/((-200)\/28)*49\/(8526\/(-29)).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 116143?\nAnswer: 37, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o\/o**9))\/o)\/(o\/(o\/o**(1\/19)*o*o)) assuming o is positive.\nAnswer: o**(189\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*7 + (-7850)\/471.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -2*t - 4986. Suppose -2*q + t = 5*r - 3*q, -2*q - 3984 = -4*r. Suppose 6*o - r = 208. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55068682447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2961799 plus -1?\nAnswer: 2961798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r - 9556 + 9512 = -4*q, -4*q = -5*r + 46 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x**2 - 5*x + 2. Let o be (-4)\/(-8)*-10 + 0. Is a(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of 379*h**5\/15 + 53*h**4\/24 - h**3\/3 - 737*h**2. Find the second derivative of u(w) wrt w.\nAnswer: 3032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 3342 = 5*r + 81, -3 = -r. Suppose 2*u - a = -z, 4*u - 573 = 3*u + 3*z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + (-189)\/(-45))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 AM and 12:26 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -250602, -501199, -751796, -1002393?\nAnswer: -1252990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21 - 8. Let s = a - 23. Let p be ((-12)\/s)\/((-6)\/(-30)). Solve -t = t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 + -0.5. Suppose 4*i - 7*o = -6*o - 16, -3*i = 2*o + 23. Which is the third biggest value? (a) i (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1584054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 297108 divided by 1179\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (785 - 792) + (0 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and 550.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -23*h**3*j - 7*h*j**3 + 196*j**3 wrt h.\nAnswer: -69*h**2*j - 7*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 2:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -39, -159287, 5 in descending order.\nAnswer: 5, -39, -159287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 14 + 3 - (6 + -12 - 0). Let q be (-2)\/4*(25 - z). Which is smaller: q or 175?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -4, 25, 44.\nAnswer: -4, -3, 25, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 12, 148, 3, 16, -2.\nAnswer: -10, -2, 3, 12, 16, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 502393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -199 + 3389\/17. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11.2 + 15. Let y = w - 3.8. Sort y, 0.08, 0.2, -1 in decreasing order.\nAnswer: 0.2, 0.08, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010 + 1001?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 250 by -74.\nAnswer: -125\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of q**7\/7 + q**6\/6 - 23*q**4\/2 + 2459*q**3\/3 - q**2\/2 + 4207. Find the third derivative of y(o) wrt o.\nAnswer: 120*o**3 + 60*o**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in 2*p**5\/7 + 10522*p**4\/7 + 11283320*p**3\/7 + 3443800800*p**2\/7 + 3432528000*p\/7 = 0?\nAnswer: -3940, -660, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (9\/12)\/((-3)\/12). Let x(z) = z - 2. Let i(d) = -d + 1. Give r*x(h) - 4*i(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115 = -8*o - 99. Solve -2*s = o*a - s + 2, -4*s = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 AM and 10:10 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6 - -15?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttjtjnjnnjj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.5 + 1.6. Is x greater than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 267 + -202. Calculate the highest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -51.5 - -64. Let l = 12.561 - b. Round l to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-one halves of a millennium?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i + 765 + 499 = 0. Find the third derivative of -i*n**2 + 5*n**4 - 9*n**3 + 5 - 5 + 190*n**2 wrt n.\nAnswer: 120*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1824100.\nAnswer: 2, 5, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2.83618146 rounded to four decimal places?\nAnswer: -2.8362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/13304 and 133\/48.\nAnswer: 79824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 4*a - 4599. Let f(y) = y - 1149. Calculate 9*f(m) - 2*w(m).\nAnswer: m - 1143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 2014501 (base 6) to base 12.\nAnswer: 47431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 1078451 + 306088 = 5*a, 0 = -5*a + 3*x + 1384541. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i - 3*v = 8*i - 18, -2*v - 175 = -5*i. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152) + -3*sqrt(152))\/(sqrt(72)*-1) - ((-3 + sqrt(171) + sqrt(171))*6 - ((-2 + sqrt(171))*6)**2).\nAnswer: -1402*sqrt(19)\/3 + 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -3050*k - 74949. Determine u(-24).\nAnswer: -1749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9427 and 6856.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(833) + (-2 + sqrt(833) + -1 + sqrt(833))**2 + sqrt(833))*-5.\nAnswer: -16701 + 350*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28)\/(sqrt(16)\/sqrt(4)) - (sqrt(175) + 1) - -5*sqrt(567)*-1)**2.\nAnswer: 98*sqrt(7) + 16808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 747, 751, 757, 765?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 146226642?\nAnswer: 2, 3, 29, 181, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**2 - 6*w - 8. Let c be 150\/22 - (-12)\/66. Determine i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -38 + 10 + -6 + 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 13 * 5680.\nAnswer: 73840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 127.9622 and 49206?\nAnswer: 49078.0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 4100\/80 - 9 - 42\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -2\/15, 2, -14, 2\/9, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 125 + -119. Let l be m + (-38)\/6 + 7\/15. Suppose -b - 5*h - 4 = -2*h, -5*b - 4*h = -13. Sort b, l, 8, -3 in increasing order.\nAnswer: -3, l, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 + 75*o + 1271. Calculate the remainder when j(0) is divided by 128.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the third derivative of 13*d**4\/24 - d**3\/2 + 6*d**2 - 7*d. Give z(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2153*k**3 - 2*k**2 + 81*k - 1988577 wrt k.\nAnswer: -6459*k**2 - 4*k + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 798*l**2 + 5*l + 1. Suppose -8*o = 10 - 26. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of -301*m**4\/3 + 7*m**3\/6 + 2*m. Let f be p(8). What is f rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -7*h - 4. Let o be 231\/49 + 2\/7. Let y be x(o). Let w = 52 - y. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39628722 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (16 - (2 - -1) - (-33 - -40)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*z**5 + 244634110*z**2 + 122043238*z wrt z?\nAnswer: 40*z**3 + 489268220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (52\/208)\/(-1)*(-3)\/(-39).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - 6*k**2 + 2*k - 2. Suppose 4*f - 5 + 1 = 0, -5*p = 2*f - 112. Let q = p + -16. Determine a(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2\/9 (b) -5 (c) 3744 (d) 6\/5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-17 - -33)\/(0 - -2). Let j be ((-2)\/s*-1)\/((-140)\/(-1568)). Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*y**3 - 10*y**3 - 16*y**3 - 8*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -107 + 91 - -107 - ((4 - -3) + -2)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 3177072, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 396331 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 31336043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 59 - 53. Suppose i + 3961 = -b*k + 2*k, 2*k + 19877 = -5*i. Let q = i - -8607. What is q rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 39374 and -713.\nAnswer: -28073662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**3 - 7*r**2 - 5*r + 2. Let i be o(-6). Let w = 1302 - 3973\/3. Let n = w - -329\/15. Which is the closest to 1? (a) 4 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 15*z - 210. Let r be a(13). Sort r, 1, 10 in decreasing order.\nAnswer: 10, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(1573) - sqrt(91)\/(sqrt(49)\/sqrt(7))) + -5)**2*5.\nAnswer: -500*sqrt(13) + 6625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-60)*5*234\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express t**2 - 3*t**2 + 2*t**2 + 2*t**2 in the form z*t + j + i*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -2849129 bigger than -8547386\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 43 - -24. Suppose 3*w = -13 + k. Suppose 0*a + w = a. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -11*z**3 + 40*z**2 - 26*z - 26. Let n(r) = 7*r**3 - 26*r**2 + 17*r + 17. Let l(c) = -8*n(c) - 5*y(c). Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 h when three letters picked without replacement from tmaehaetehaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -2*w**2 - 2*w + 1. Suppose -n = -6*n - 2*z - 21, -n = 4*z + 15. Suppose 0 = -f + 10 - 9. Let g = n + f. What is r(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the second derivative of -910906*t**3\/3 + 7*t. Let g be r(1). Let z = g + 8321812. What is z rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 266.9831 millilitres to litres.\nAnswer: 0.2669831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1135 - -3146. What are the prime factors of s?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4680 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 1. Let t(y) = 135*y - 135. Suppose -23 = 6*l - 29. Let q(d) = l*t(d) - 5*r(d). Suppose q(i) = 0. What is i?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 36, 4, -50, -126, -224, -344?\n\"Answer: -11*t**2 + t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -5*v + 84. Suppose -4*u = 3*z - v, u + 6 = 3*z + z. What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5311190054 to the nearest integer?\nAnswer: 72878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0, -4, -0.01, 18, -51 in descending order.\nAnswer: 18, 0, -0.01, -0.1, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.364 and -55.\nAnswer: 20.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**3 + 878132*v**2 + 48158274944*v - 4003188558848.\nAnswer: 4*(v - 83)*(v + 109808)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 0.3. Let w be -2*-3*1\/(-2343). Let g = w + -1532\/11715. Sort t, g, 1 in descending order.\nAnswer: 1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 122666244 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -374 - -756. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/13 + 30\/312?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -17b017 - 1b?\nAnswer: -17b036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/15 in 0.4, 2\/13, 4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-582)\/2910)\/(1\/(-185))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 PM and 4:37 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 634 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 + 2 - 3 - -5. Let p(s) = 4*s**2 - 6*s + 17. Let f(w) = -3*w**2 + 4*w - 11. Let y(m) = 7*f(m) + 5*p(m). Let q be y(-4). Solve -o*z + q*z = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -102 - -144031340?\nAnswer: 144031233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-1*(sqrt(128) - (sqrt(128) + (sqrt(128)*1 - sqrt(128)) + sqrt(128) + -1 - sqrt(128))) - (2 + 1*sqrt(128)*-2 + sqrt(128) + sqrt(128)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, -0.04, -1, 2\/315?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p**(-3\/2)*p)*p)**(-28)*(p**(-2\/5))**28 assuming p is positive.\nAnswer: p**(-546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 199, 198, 195, 190?\n\"Answer: -i**2 + 2*i + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 62 - 52. Find the common denominator of x and 2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7274741 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -147.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 5394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - v + 30 = 17, 0 = -3*d - 3*v + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 + -10. Which is the nearest to 0? (a) -1\/2 (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 52*f - 56*f. Solve 0*x - 5*s = -4*x - 3, 4*x + f*s + 13 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/4)\/(39\/52).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 5*o + 0*o = -153, 3*h + 4*o = -448. What is the remainder when 30\/20*h\/(-6) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 856976 is divided by 106842.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 30 (base 11) to base 5.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iycxqyqhh. Give prob of picking 2 q and 1 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*z - 8. Let d(n) = z*n - 11*n + n**2 + 7*n. Let o(w) = 8*w - 2. Let f(q) = 17*q - 5. Let h(j) = -2*f(j) + 5*o(j). Calculate d(h(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6970*g - 25391*g + 5889*g - 1323*g.\nAnswer: -27795*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(275) + ((6*(sqrt(275) + sqrt(275) + sqrt(275) + 1) + sqrt(275) + sqrt(275))**2 - sqrt(275))) - 3*(sqrt(539)*2 + 4)**2.\nAnswer: -116552 - 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s - 1655 = 289. Let w = s + 331. Solve -7*t = w - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 19140 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/4*2*(-70)\/(-21)*-1. Let a(z) = -z**3 + 5*z. Let f(o) = -o**3 + 8*o - o**3 + 0*o**3. What is u*f(m) - 8*a(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**2 + r. Let n(k) = 4*k**2 - 11*k + 2. Let d(l) = -n(l) - 6*v(l). Is d(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -28.80302 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**3 + 1455358*k**2 + 264760546544*k + 794268541464.\nAnswer: 2*(k + 3)*(k + 363838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*d = -20*d + 320 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18294 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -7\/10958, -2, -3 in descending order.\nAnswer: -7\/10958, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 88 and 198760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1912118922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (2\/90)\/((-6)\/(-285)) and -115\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -1 - (-7 + 4 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(1053) - (sqrt(1053) + -2 + -5)))**2 + ((sqrt(1053) + 1)*-5 - -2*(-2*sqrt(1053) + sqrt(1053))).\nAnswer: -63*sqrt(13) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27261 - -2257.\nAnswer: -25004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**3 + 8*j**2 + 4*j - 2. What is the remainder when 36 is divided by s(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 + 12*k**2 + 5*k + 8. Let l be h(12). Suppose 483 = -65*f + l*f. List the prime factors of f.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 2*q = -0 + 42, 66 = 5*i - 7*q. Solve -i*m - 2*n - 5 = -4*m, 25 = -5*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -301*o - 128. Let w(g) = -603*g - 253. Let z(m) = 5*q(m) - 2*w(m). Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 24.62884ug to tonnes.\nAnswer: 0.00000000002462884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lbllqbldlddo. Give prob of sequence db.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 51 = -27*r + 25*r + 15, 3*r + 13 = 2*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 696720*j**2*n + 2*j**2 + 5*j - 10*n**4 + 15330 wrt n.\nAnswer: 696720*j**2 - 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-559)\/(-215) + 18281\/(-3535)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 1 + 25462449*w**2 - 25466127*w**2 in the form y*w**2 + v + k*w and give y.\nAnswer: -3678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (39\/(48672\/(-2688)))\/(6\/(-26)).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {j: 1, n: 1, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 2*g. Let d be i(2). Suppose 2*s = -3*s - p - 12, -d*p = s + 10. What is the tens digit of (8 + s)\/((-9)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 9*p**2 + 6*p**2 - 3*p**2. Let t(z) = z**2. What is x(t(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - i - 10 = -2*b, -3*b = -6. Let l = -14.9 - -1.9. Let f = l + 11. What is the closest to 1 in f, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 99705 and 26795.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 3:30 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4212420 is divided by 4212374.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53426769?\nAnswer: 3, 11, 23, 43, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5729 + 5731 = -i - z, -i + 5*z + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(6*8\/(-16)). Suppose -3*h = 2*h - 65. Suppose -y + 10 + h = g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1287766928 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -2326545 by 1261.\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 740 = -12914*o + 13284*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + l = 10, 3*z = 2*z + 5*l + 2. Find the common denominator of -77\/2 and (-249)\/(-36)*1 + z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 150 - 1052\/7. Let a = 6791\/14 - 3385\/7. What is the nearest to p in 3\/7, 2, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 48 = 2*h. Calculate the smallest common multiple of 6 and (-4)\/h*-3*10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 151717 is divided by 75850.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.289 + 0.289. Sort 1\/8, r, -6 in ascending order.\nAnswer: -6, r, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 49706 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 5*k + 98, -k - 114 = -4*z + 6*z. Let u = z - -3. Let c = u - -86. Calculate the lowest common multiple of c and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 112\/9? (a) 2\/239 (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2*g**2 + 4*g - 465. Let z(u) = 2*u**2 + 3*u - 349. Let t(j) = 3*q(j) - 4*z(j). Suppose -w - 4 + 2 = 0. Give t(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-24)\/(-2))\/(9\/(-2)))\/((-90304)\/575688).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(((i**(-2\/3)\/i)\/i*i*i)\/i))**(-24))**(-2) assuming i is positive.\nAnswer: i**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 2:43 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101111 + -100010110110110100?\nAnswer: -100010110111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zddd when four letters picked without replacement from zdzdzzddzdzz?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 479774, 479775, 479776, 479777, 479778?\n\"Answer: c + 479773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 3*o - 5*l - 16, -4*l = 20. Calculate the remainder when 31 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1182 + (1 - (13 + -7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 1 - 3)*(-2*l + 0*l + 4*l + (-1 - 2 + 4)*(-l + 3*l - l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggeieetgtgegikv. What is prob of picking 1 t and 1 e?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 48101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19 - 29) + -8 + 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -325*m**3 + 3*m**2 - 25*m?\nAnswer: -1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29 - -43. Suppose 0 = 4*x - 2*y + 3*y + 1, -5*y = x - t. Let n = -0.13 + -4.87. What is the smallest value in n, -0.2, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -0*t + 2*t. Let u = 22 + t. Suppose 355 = u*a - 6*a. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149662476?\nAnswer: 2, 3, 47, 197, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/10)\/(((-133)\/(-84))\/(-19))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -18*k**2 + 16*k. Let l(w) = -w**2 + w. Let b(t) = 48*l(t) - 3*y(t). Suppose 3*r - 10 = -2*r. Let q(d) = d**2 + r*d**2 - 5*d**2. Give b(q(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -178239.45 to the nearest one thousand.\nAnswer: -178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 858 - 928.4. Round d to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jmgfggfjm. What is prob of picking 1 j and 3 g?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = 4*p + 79, 5*p - 15*j + 90 = -13*j - 4*j for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12\/31 + 46\/279. Suppose 6*m - 9 = 21. Which is the nearest to -1? (a) 4 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*h = 6*h + 92. Solve -6 = h*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 149 (b) 6 (c) -0.4 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 + 4*m + 2. Let n(r) = r**3 - 5*r**2 - 10*r + 27. Let a be n(6). Let w be p(a). Solve 0*b = -b - 5, -5*j - w = -b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -7*f. Let y(g) = -38*g**2 - 10112*g + 10112*g. What is w(y(h))?\nAnswer: 266*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - g - 1. Let n(s) = -2*s**3 + 2*s**2 - 8*s - 5. Let i(r) = -3*k(r) + n(r). Let j be i(-3). Solve 14 - 2 = j*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-2) + (7 - 1680\/288). Which is the second smallest value? (a) -3\/8 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-130)\/52*4\/(-5). What is the closest to 2\/7 in 0.041, 3\/2, w?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - 1. Suppose -4*a + 2 + 6 = 0. Let m be l(a). What is the remainder when (7 - 31)*(-5)\/m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 11:47 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 13 = 77. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*g - 46 + 18. Suppose 5*k + 2*y = 440, -g*y = -2*k + 6*k - 352. What is the highest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -558600 divided by 1225.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of 0*l**3 + 1\/7*l**7 + 0 - 9\/8*l**4 + 0*l**5 + l**2 + 0*l**6 + 0*l. Find the second derivative of g(z) wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rkwxrnxxerwrxnrwwrr.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 789*m - 2131. Does 7 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -41\/2? (a) 97 (b) 1 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -315*f - 8 - 383*f + 1211*f - 306*f - 3 to v + k*f and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 103255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*(-2337)\/171 - (-64)\/8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 2, n: 14, o: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 5.0637117?\nAnswer: 5.0637117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from immimmmimmmmmi. What is prob of picking 3 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1184 - 1180. Suppose 5*g = -4*f - 0*f + 16, 0 = -4*g + 3*f - 12. Suppose -r + 4*r - 15 = g. Solve 2*y - 2*p + c = 5*y, -r*y = -p + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14274 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30 - -15. Let s = -12 - m. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 103122, 103115, 103098, 103065, 103010, 102927, 102810, 102653?\n\"Answer: -v**3 + v**2 - 3*v + 103125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -358 + 363. Suppose 0 = d*g + 3*c - 35 - 5, -4*g + 4*c = 0. Let z be 0\/(-1) + (-2 - -2). Solve 0 = g*m - 2*v + 35, 2*v - 6*v + 20 = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 34.193 + 6.617. What is w rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((26\/4)\/(-1))\/(74\/(-1628))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -19*d - 24. Let x(k) = 16*k + 24. Let z(y) = 5*v(y) + 6*x(y). Calculate z(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-35)\/(-14)*20\/125. Put 5\/2, -1, 8\/3, l in descending order.\nAnswer: 8\/3, 5\/2, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 24*x**3 + 5*x - 3. Let l = 21 - 19. Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*b - 17 = o + 23*b, -2*o + 3*b = -6. Let v = 4 - 3. Let d be 2 + ((-2)\/v - -2 - o). Solve 0 = 2*k + 5 - d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 7912 = 4*y, 3*z + 3*y = -0*y + 11895. What are the prime factors of z?\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7120243 or -7120249?\nAnswer: -7120243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Total of -26542709 and 12.56.\nAnswer: -26542696.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-238)\/21*9\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 - 7*m**2 - 13*m + 46. Calculate t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 689 divide 230573381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7.44755*-28.\nAnswer: -208.5314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/601 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uufb when four letters picked without replacement from {b: 7, f: 3, u: 8}?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.795 - 2.35. Let k = -0.155 - j. What is the fourth biggest value in -0.2, 0.3, 3, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 511 + 111 = -18*g. Solve -31*z - 180 = -g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/81 and 40\/9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2\/19 - -94\/171. Let n(a) = -a + 11. Let g be n(11). Let u = 0.0072 + -4.0072. What is the biggest value in g, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 + 10. Let o be (-2)\/(-4)*i\/2. Solve 25 - o = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-3)\/2)\/((-18)\/24). Suppose 5*k = -l + 32, -l + 0*l + b = 0. Let i(m) = 401*m + 5. Is i(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*o - 10*o = 3*h + 71412, -3*h + 23788 = o. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-3\/10)\/((t*t\/((t*t**0)\/t))\/t)*t*t**6*t*t*t*(((t**0\/t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be -67 - -76 - (-1)\/((-4)\/(-684)). What is the highest common divisor of u and 1560?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 4 + 19*r**2 + r - r**2 - 2 as a*r**2 + d + c*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -171 and -58324159434.\nAnswer: -58324159605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -8 * 1.892\nAnswer: -15.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (28\/(-336))\/((-6)\/(-4) + -2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - 3.3. Let o be ((-3)\/4)\/(3\/2). Put b, 1, o in descending order.\nAnswer: 1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*j - 36*j = 24 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1428 = -2451*w + 2400*w. Calculate the lowest common multiple of w and 292.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53452 - r + r + r**2.\nAnswer: r**2 + 53452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d + 5*d + 5*h - 98 + 48 + 51 = 0, -4*d = -7*h - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1520551 (base 6) to base 14\nAnswer: 2429d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: -1268 divided by -8200\nAnswer: 317\/2050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**2. Let y(g) = 9*g + 5. Let i(h) be the third derivative of -5*h**4\/24 - h**3\/3 - h**2. Let q(x) = -5*i(x) - 2*y(x). Determine q(z(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -158 + 155. Sort 2, -89, y.\nAnswer: -89, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of b**7\/35 - 5*b**4\/24 - 5*b**2. What is the second derivative of r(x) wrt x?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, 0.02, -5, 0.1, -0.043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7244*r*t**2*w + 149*r*w**2 + 2*r*w + 5*t**2*w**2 - 5009*t**2 - 43*t + 2*w**2 + 2 wrt r.\nAnswer: -7244*t**2*w + 149*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/2)\/((-7)\/(-5) + (-194)\/485).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 10, 440, 3, -1\/17, 5 in decreasing order.\nAnswer: 440, 10, 5, 3, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 103 = 41. Let t = 75 + r. Suppose 2*m + t = 5*m. Solve -m = 2*w - 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/6*3\/2. Let a be (2 - -8)\/((-1)\/y). Suppose 29*p + 3*s = 34*p - 10, -4*s + 8 = 4*p. Solve 5*x = -5*m + p*x - a, m - 3*x = -4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 6*p - 15. Let j(g) = 1220 + 61*g - 64*g - 1212. What is 6*h(n) + 13*j(n)?\nAnswer: -3*n + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 75506208 to the power of 1\/2, to the nearest integer?\nAnswer: 8689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 4*o**2 - o - 25. Suppose -21*c = -12*c - 54. List the prime factors of w(c).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from {k: 9, u: 3, s: 1, r: 4, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(3\/7)*p**1)\/(p**(-1)*p)**33)\/(((p\/p**4*p)\/(p\/(p\/(p**(-3)\/p*p))))\/(p**(-8)*p**(-1))) assuming p is positive.\nAnswer: p**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -324 - -328. Solve 2*x = 2*d - 2, 0 = -q*d - 2*x - 3 + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 + (11 - 712\/16))\/(57\/(-152)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 28 + 56a?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 452*l - 5*c - 195 = 450*l, c + 27 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/4*w - 9\/8*w**2 - 3\/8*w**3 + 0.\nAnswer: -3*w*(w + 1)*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*5*(-7)\/(-105).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -4*d**2 + 12*d + 13. Let i(w) = -2 + 0*w**2 + 1 + w**2. Let b(s) = -5*i(s) - k(s). Is b(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-54234)\/345840 + (-2)\/(-11)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -547057, -547356, -547655, -547954, -548253?\n\"Answer: -299*w - 546758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-6) - 20\/(-6). Suppose -10 = -4*g - 3*w, w + 3*w = -g - q. Let b = -6.9 + 7. What is the third smallest value in b, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 69 = -35. Let q be t\/14 + (-3)\/(21\/(-2)). Suppose 0 = -q*z + 5*c + 21, 2*z + c - 4 = -3*c. Calculate the highest common divisor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 888*k + 374*k - 520*k as m*k + y and give m.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -154 + 2*s - 692 - 592.\nAnswer: 2*s - 1438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1644341 (base 9) to base 10\nAnswer: 915175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*o - 38 = 52 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 731835953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5628\/(-536)*18\/21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 - -12. Let i(t) = a - 5 + 5*t. Suppose 0 = -42*k + 31*k + 11. Let w(q) = q. Give k*i(p) - 3*w(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -32.8 + 25. Let n = 8 + m. Let z = 5.6 - n. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aewaewiiziam. Give prob of sequence eai.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -34, -66, -98?\n\"Answer: -32*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 126610 divided by 63305?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 1787694\nAnswer: -1\/595898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of -1\/60*k**5 + 0*k + 0 + 2\/3*k**3 + 5\/24*k**4 - 2*k**2. Let w be f(5). Solve -3*i = -w*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 92*i**3 + 7*i**2 + 5*i - 6. What is the units digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 5*j + 2677861 + 10687542 = 0, 0 = 4*d - 3*j - 17820489. Let h = -454223 + 2609349. Let t = d - h. Round t to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange o + 6*o - 12*o - 5*o to the form h*o + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 + -108a45?\nAnswer: -108a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2792*q**2 + 11960*q**2 - 22*q + 22*q.\nAnswer: 14752*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of 4*g + g - 2*g + 2*g**2 - 6*g - 27. What is h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 99976291?\nAnswer: 1607, 62213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23595 and 55986645.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -68546, -137093, -205640, -274187, -342734, -411281?\n\"Answer: -68547*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c - c - 3*c)*(0*c + 4*c + 9*c)*(-2*c + 0*c + 4*c).\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -11*d**3 - d**2 - d - 1. Let h be -2 + 1\/1 + -1. Is p(h) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -9 and -0.1388?\nAnswer: 8.8612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 3 + 3*k**2 - 2*k**2 - 5 - k**3 as m*k**3 + n*k**2 + w*k + t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 + i - 1. Let s(y) = 6*y**2 + 8*y - 17. Let x(t) = -s(t) - 5*u(t). Let v be x(-8). Calculate the highest common factor of v and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14953?\nAnswer: 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*a**2 + 7*a**2 - 24*a - 12*a + 41*a to the form o*a**2 + y*a + g and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6\/(-33) + (-13212)\/(-66). Calculate the greatest common factor of 40 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the third derivative of -1\/8*r**4 + 0*r + 0 + 4*r**2 - 1\/3*r**3 - 1\/60*r**5. Let u be p(-2). Solve 5*w + 4*v - 12 = u, -2*w - v + 9 = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*v - 81 = 15*v + 24 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8421*l**3*p**2 + l**2*p**2 + 3*l**2 + p**2 - 63 wrt l?\nAnswer: -50526*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 4 - 1. Let q(f) = -7*f**3 - 6*f**2 - 6*f + 6. Let j be (4\/5)\/(20\/(-150)). Let p(u) = -u**3 - u**2 - u + 1. Calculate j*p(x) + z*q(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5490340 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -20, -11, -0.34, -1\/2, -5.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2061*z + z**2 + 0*z**3 - 3*z**3 - 2060*z - 2. Let b(i) = -7*i**3 + i**2 + 2*i - 5. Determine 2*b(f) - 5*j(f).\nAnswer: f**3 - 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 346, 913.\nAnswer: 4, 346, 913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 20*r**2 - 4*r - 84. Does 54 divide o(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 26 + (-1 + 2 - 0). Suppose 60*j - 43*j - 51 = 0. What is the highest common factor of y and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 264 divided by -132.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 3*m**2 + 5*m**3 - m**3 - 8*m**4 - m**4 + 8*m**4 + 16*m - 2*m**3 in the form j*m + a*m**4 + s*m**2 + t + h*m**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*g**3 - 2*g**3 - 5*g**3)*(-2*g - 3*g + 3*g) - g**4 - 3 + 3)*(0 - 2 + 0).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 35 (base 11) to base 3.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 357149 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2 + 5*j + 4. Let b be r(-4). Suppose 36 = 3*h - b*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -m, -3*p + 11*m = 8*m + 12. Let x(d) = -2*d - 2. Let y(g) = 2*g + 1. Give p*y(o) - 6*x(o).\nAnswer: 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 3 = a. Suppose 0 = -a*k + k. Let s = 3 - k. Solve w = -s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000005389425 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1165\/3 + 387. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 1\/2 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/3 + 2972*z**2 + 3309320*z - 19891600\/3.\nAnswer: 2*(z - 2)*(z + 2230)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 18637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - l - 158 + 160 = 0, 5*n + 2*l = 6. Which is greater: n or -129\/112?\nAnswer: -129\/112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -135694*i + 135880*i + 6696 = 0 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.34 - 2.34. Let s be ((-6216)\/70)\/6 + 14. What is the closest to o in s, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 11*b**2 - 232*b + 24. Determine k(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 11*i**3 - 6*i - 6. Let j(d) = -11*d**3 + 5*d + 5. Let b(t) = 6*j(t) + 5*v(t). Let r(c) = -309*c**2 - 4*c**3 + 309*c**2. What is 3*b(k) - 8*r(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4527017897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -3, -5, 292, -9 in increasing order.\nAnswer: -9, -6, -5, -3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -7 + -9a?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:13 AM and 7:05 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (83 - 83 + 17*d)*(-2*d**2 + 2*d**2 + 3*d**2).\nAnswer: 51*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 39 and 5291.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/7 + (-15)\/(-21). Let a = m - -1. Let l(w) = -w**3 - 2. Let u be l(-2). What is the highest common factor of u and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/15*79\/((-29862)\/(-36)))\/((-220)\/14).\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2668, -2659, -2650?\nAnswer: -2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**(1\/4)*t*t*t)**20)**10 assuming t is positive.\nAnswer: t**750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2)\/(-1))\/2)\/(6\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 931800108 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ytyt when four letters picked without replacement from tytttyty?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + 3 + 0 + 2. Suppose 3*b + 8 = 3*i + 35, 0 = -4*i - l*b - 4. What is the tens digit of 2\/((-2)\/i)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -237 - -273. Suppose 0*s + 37 = 4*o - s, 3*o = 3*s + 21. What is the remainder when d is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oshohsnbbohnjh. Give prob of sequence onn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8903492 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2*p - 1 + (0*p + 0*p + p)*(-3 - 1 + 5))*(-6 - 193*p + 8 + 195*p - 11*p**2 + 2*p**3) as s*p + i + j*p**2 + v*p**3 + n*p**4 and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 12534041 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -271 * -22227\nAnswer: 6023517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16 - 0. Let l = -15.999812 - x. What is l rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 196190 is divided by 65396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 423*v**4 - 95*v**2 + 121*v**2 - 56*v**2 + 5*v**5 + 79*v**5 + 9*v**3 = 0.\nAnswer: -5, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 814617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*y**2 + 0*y**2 - y**2 + y**2 - 3*y**2 + y**2 + (1 + y - 1)*(2*y - 2 + 2) + (-4 - 7*y + 4)*(-4*y + 5*y - 2*y)*(1 - 2 - 1).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -600, -1216, -1832, -2448, -3064?\n\"Answer: -616*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 148*g + 14. Calculate q(-1).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - x - 396 - 1651, 4*x + 2059 = -3*d. Does 27 divide ((-14)\/(-4))\/(d\/342 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 548 divide 22378676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -21 (base 6) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y + 3*y + 0*y)*(-4 + 1 - 1) + y + 0*y - 3*y + 8*y + 8*y + 4*y + y + 3*y - 2*y + (y + y - y)*(0 + 1 + 1) + y + y - y.\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -977 - -915. Sort l, 2\/11, -2\/13 in increasing order.\nAnswer: l, -2\/13, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1, 31, 101, 229, 433, 731?\n\"Answer: 3*r**3 + 2*r**2 + 3*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*h + 5*p - 9, -p - 15 = 5*h + 3*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d - d + 220 - 227 - d + 2*d**2. Determine h(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 39641, 79190, 118651, 158024, 197309?\nAnswer: 236506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18516688 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-176)\/440)\/((-92)\/20)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 595\/9 + -1973\/18. Calculate the common denominator of -57\/4498 and d.\nAnswer: 4498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 38955701*c**2 + 54931450*c wrt c?\nAnswer: 77911402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 3*l**2 - 24*l**3 + 53*l**3 - 28*l**3 - l**2. Calculate u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 119079 and 7?\nAnswer: 833553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26 and 4498.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -6*l + 4. Let c be (-28)\/126 + 52\/(-9). What are the prime factors of m(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 455\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 8*f**3 + 4*f**2 + 3*f - 11. List the prime factors of y(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.1 take away 4839?\nAnswer: -4830.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) 28257093 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1145 is divided by 798.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7947729 is divided by 3973835.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1.02 times -8.4?\nAnswer: -8.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the second derivative of -a**5\/60 + 13*a**4\/36 - 22*a**3\/9 + 16*a**2\/3 + 324*a + 3. Let i(v) = 0. Calculate v.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8009603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -129 + 125. Let d be 21\/(((-66)\/44)\/(6\/v)). Solve -3*f - d = -3*w, 5*f + 11 = -3*w - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -126609.108 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 745437.39 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21.2 or -0.19889?\nAnswer: -21.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 8 (b) -0.2 (c) -3\/7 (d) -3138 (e) 3\/8 (f) 5 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -34 + 36. Suppose 4*l - 3*l = p - 4, 6 = -4*l + 2*p. Suppose -3*v + u - l = -7, -2*u = 6. Solve d + 3 = 2*a, 0*a + r*a = 3*d + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-6))\/(-2)*(-90)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -263*r**3 - 231 wrt r.\nAnswer: -789*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - -1212?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5\/21 - 3\/7. Which is the closest to -1\/2? (a) v (b) -0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-40)*2088\/(-29)*(-10)\/(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 6 = -0. Suppose -z + 30 = x, -x - l*x = 8. Suppose -b = -0*b - z. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the first derivative of 5*c**2 + 7 + 23 - 6*c**2. Let y(x) = 17*x**2. What is y(v(u))?\nAnswer: 68*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -137 + 204. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(91)\/(sqrt(7) + 2*sqrt(343)) - ((sqrt(208) - 1*sqrt(208)) + 0))*5)**2*5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tq when two letters picked without replacement from {t: 7, d: 2, y: 9, q: 1}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -2*s**3 + 26*s**2 - 17*s - 9. Is 15 a factor of b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -4*x - 15, 4*x = -6 - 14. Let w = -5439 - -5443. Suppose 0 = -w*k - n*p + 145, 0 = k - 0*k + p - 37. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -39*a**2 + 7*a - 7. Let r = 5595 - 5588. Let w(d) = -19*d**2 + 3*d - 3. Determine r*w(i) - 3*l(i).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4249687*-0.1.\nAnswer: 0.04249687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be 459\/63 + (-4)\/14. What is the common denominator of 89*(1 + c\/(-6)) and 9\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77 = -33*m - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/14622444 and 35\/561?\nAnswer: 2734397028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or -0.171?\nAnswer: -0.171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 249266 (base 10) in base 9?\nAnswer: 418832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -9*b**2 + 13*b**2 + b + 21*b**3 - 6*b + 9*b**3 - 9*b**3 in the form w + k*b + j*b**3 + q*b**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 1 + (-2 - 3 + 4)*(-9 - 7 - 1))*(6*w + 20*w + 3*w).\nAnswer: 435*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2372500 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (12\/8)\/((-1)\/(-24)). What is the tens digit of 906\/u + 3\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/7, 0.6, -8, 0.122, -0.5 in decreasing order.\nAnswer: 0.6, 0.122, -0.5, -4\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -27*c**3*h*q - 151*c**3*h - 5*c**3*q - 6*c**2*h - h*q + 1 wrt q?\nAnswer: -27*c**3*h - 5*c**3 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.37314 and 0.029?\nAnswer: 0.01082106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 127460730 rounded to the nearest 1000000?\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1903117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 332949 and 1424?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 8) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be -9*((-104)\/(-6))\/4. Let l be 5\/4 + s\/(-52). Let y(u) = -2*u**2 - 14 + 5 + l*u + 7 + 3*u. Calculate y(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/2, 0.2, 136, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2273105204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 42168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 961 = -3*d + 976. Suppose 4*c = -3*t - 57 + 140, 102 = 5*c + 2*t. Solve d + c = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from bggnbdebejedbbebe.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1.54 plus 130.5?\nAnswer: 128.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4066?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 + 151 = 4*j. Suppose -2*c = -5*k + 68, 0 = 3*k - 5*c - 6 - j. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 2*t = u - 14, 0 = u + 5*t + 13. Solve -u*j + 3 = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 4*z = 20, 0 = 3*m - 7*m - 5*z + 11. Suppose 5*o - m*w - 1505 = -9*w, 285 = o - 3*w. Is 76 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 30263645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from dgzkq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 20783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 != -3570583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*l + 12. Let m(c) = -c**2 - 3. Let u be m(0). Let i = l - u. Solve 5*b + 13 + 7 = i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5590 rounded to the nearest one hundred?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -48*i**3 - 264*i wrt i?\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 654 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -13 - (-47 + 44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*y**3 - 25*y**2 - 13*y + 200566.\nAnswer: -48*y**2 - 50*y - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2009 and 672.\nAnswer: 192864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(-8))\/(486\/(-96) - -5). Let j be (-38)\/(-14) - 4\/(-14). Let f be (j - -1)\/2*6. Calculate the highest common factor of f and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - z = -2002 - 8199, 3*z - 51003 = -5*t. What is t rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -15809942.\nAnswer: -1\/7904971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 - 3.97. Let r = -0.03 - g. Let v = r + -1.94. Which is smaller: v or -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r + 1. Let d = 20 + -15. Suppose 3*w - 21 = 6*s - 2*s, -d*s - 32 = 2*w. Give g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 - 13337?\nAnswer: -13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-62)\/26)\/(-4 + (6 - -9)) and 149\/66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6375337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes before 11:28 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 2\/15 (b) -2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-145)\/(-58))\/(5\/4). Solve 0 = o*w + w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*h**3 + 67*h**3 - 113*h**3 + 37*h**3.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 186.8 - 188.8. Let f = -0.1 + 0.2. What is the second smallest value in f, -0.4, -1\/8, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2858560, -2858485, -2858370, -2858221, -2858044, -2857845, -2857630?\nAnswer: -2857405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -47*f**3 + 6*f**2 - 13*f - 6?\nAnswer: -282*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 55*f**2 + 1. Let b be l(1). What is the tens digit of (54\/21)\/(12\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-34)\/4 - (-2)\/(-4). Let h(r) = 31*r**2 + 2*r - 2. Let v(i) = -15*i**2 - i + 1. Let w(b) = p*v(b) - 4*h(b). What is the units digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes after 10:46 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 29640653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 13 - 5 = 0. Let n(c) = 2*c + 2*c**3 - x*c - 2*c**2 + 3*c**2 + c**2 + 1. What is the units digit of n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.49465157779 from 321.\nAnswer: 321.49465157779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 121 + 56. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 570 = -4*g, 35*g - 32*g = -5*t + 1362. Solve 0 = -t*z + 285*z - 162 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -4 + sqrt(99)\/(sqrt(72)\/sqrt(2)).\nAnswer: -4 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 5842*m**3 - m**2. Let u be d(1). Suppose -j = -2*j - u. Let p = j - -46815\/8. What is the common denominator of 29\/4 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 AM and 3:50 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*j + 32*j - 571 - 90*j + 24*j.\nAnswer: -2*j - 571","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 + 12057707?\nAnswer: 12057707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2213 - -2209. Sort r, -366, 3 in decreasing order.\nAnswer: 3, r, -366","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0458884 to 3 decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 121 = 5*f, g - f = -g + 101. Let n = g - 30. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(396) + 3*(sqrt(396)*1 - sqrt(396)) - (sqrt(396) - (sqrt(396) + 1*sqrt(396)))*-6) + 3 + -4 + -5)**2.\nAnswer: 540*sqrt(11) + 9981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1433648*v**2 - 1350119?\nAnswer: -2867296*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -346782, 2, 0.3 in increasing order.\nAnswer: -346782, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 6*w**2 - 5*w + 30. Let t be z(6). Suppose k + 2*c - 8 = 0, t*k + 43 = 2*k - 5*c. Calculate the highest common divisor of 420 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by -1412.\nAnswer: 1\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 21\/(-3)*(-18)\/(-7). Put -0.2, 2, o in decreasing order.\nAnswer: 2, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -117*x - 1973. What is v(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9846619.\nAnswer: 613, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 42\/41 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11 + -8. Let k = t + -3.00000045. Round k to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(80\/6)*12\/54.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 9*k = 1001. Let d = -13 + 24. What is the greatest common divisor of d and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14596 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 80\/289179 and 109\/44.\nAnswer: 1156716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -276 - -460. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3820636722 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fmdhmumdhdhdhmdmmhu. What is prob of sequence hfh?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.21905*2.5.\nAnswer: -0.547625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 + 12*k**2 - k - 8. Let x be d(-12). Solve 3*w - 19 = x*w + 5*l, 13 = -4*w + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6732 and 1620?\nAnswer: 302940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45996, -43527, -39406, -33627, -26184, -17071, -6282?\nAnswer: 6189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5105984358.99998974 - 5105984469. Let j = 110 + f. Round j to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -142*p + 7. Let h(z) = -427*z + 19. What is 3*h(u) - 8*i(u)?\nAnswer: -145*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 22.96 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9? (a) -0.3 (b) 3\/109 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-7)\/((-945)\/75)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 + 11. Let m be (w\/2 - 2)*1. Let r be 37\/7 - m\/(-14). Solve -3*y + 2 = -l - 0*l, -2*y = -r*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 13) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express d**4 - d**2 + 2*d + 4*d - 2 - 7*d - 2 as u + r*d**3 + g*d**2 + w*d + t*d**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 - 1 = 5*l. Let k be (2 - 4)*(-1)\/1. Suppose 6*h = k*h + 28. What is the smallest common multiple of h and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1494.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)\/(sqrt(6) + sqrt(54) + sqrt(6)) + 5 + -3 + (sqrt(3) - (sqrt(363) - (0 + sqrt(363)))))**2.\nAnswer: 24*sqrt(3)\/5 + 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m - 27 - 57. Let u = m - -71. Suppose -3*f + 4*f = u. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j - 6*j + 2*j + 10*j. What is y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 - 21 + 8 + (-1 + 3 + 0)*(0 + 1 - 3))*(2*o**5 - 5*o**4 + 5*o**4).\nAnswer: -60*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the third derivative of 0 + 79*w**2 - 37\/12*w**4 + 0*w**3 + 19\/30*w**5 + 0*w. What is the second derivative of y(i) wrt i?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 29*a**3 - 6*a**2 - 1 wrt a?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes after 7:38 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2*66\/(-8)*17*(-132)\/1122\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffssffspf. Give prob of sequence sp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -265.83285 to the nearest integer.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 831.5179 millimeters?\nAnswer: 831517.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -40\/29 and 99\/290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from dliornnlni?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is 371217524 divided by -79?\nAnswer: -4698956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 169\/5371590 and -73\/5040?\nAnswer: 128918160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (160\/(-14))\/5 + (-8)\/(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*h + 6*h - 9 + 18 - 44 - 29.\nAnswer: -2*h - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1\/126 + -29\/126. Suppose -3*d + d - 12 = 0. Let a be ((-108)\/240)\/(d\/8). Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -43*d**2 - 23*d + 8. Let p(w) = 10*w**2 + 6*w - 2. What is -26*p(z) - 6*u(z)?\nAnswer: -2*z**2 - 18*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2 + -1 - (6 + -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1530715, 3061438, 4592163, 6122890?\nAnswer: 7653619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32\/(-7 - -15) + 7\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y*y\/(y**(1\/3)*y))\/y)**(-20\/9)\/((y*y*y**(-1\/6)*y)\/(y\/((y\/(y\/y**0))\/y*y))))\/(y**(-4\/7)\/(y**(-4)\/y))**(17\/3) assuming y is positive.\nAnswer: y**(-10739\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2 + 6 + 3*w + w**2 + 3. Let i be -4 + (2 - 4) + 1. Is g(i) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*s + 14 - 58 = 0. Which is the closest to -1\/4? (a) -4\/39 (b) -3 (c) s (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 325\/35 + (-6)\/63*3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -244445.046 and -0.1?\nAnswer: 24444.5046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 227 + -562441?\nAnswer: -562215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does -32235\/8 = -4029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1 times -10053634?\nAnswer: 10053634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 7327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.05 + 1.95. Let x be (-2871)\/(-44) + 1\/(-4). Let m = x - 65. Which is the second biggest value? (a) m (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/3 + 4*q\/3 + 4\/3.\nAnswer: (q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-6))\/(4\/(-45)*(-22086)\/6544)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k = -2*k. Let a be (-2)\/(-6)*k*1. Suppose a = 3*d + d + 5*u - 172, -3*d = -5*u - 164. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 235 and 7.\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 5:58 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1159094, -1159100, -1159110, -1159124, -1159142, -1159164, -1159190?\nAnswer: -1159220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 37 + -25. Let i(z) = -9*z**2 - 12 + w. Let h(g) = -2*g. What is i(h(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 63 and 70\/(6 + (-119)\/21)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 PM and 12:27 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.88 + 0.12. Let n = t - 0. Which is the biggest value? (a) n (b) -0.05 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 2 = s - 0, -s - 3*g + 2 = 0. Suppose -s*h - 50 = -j + 3*h, -h = 4*j - 263. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 555 and 32420.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2*s - 14. Calculate o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -19*j**2 + 1109*j + 2046. What is p(60)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 273*f**2 - 4*f + 3. Suppose 5*n = 3*d + 2, -3*d + 0*n + 14 = -n. Let j be d*(-5)\/(1*-15). Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -1\/6 (c) -4\/79 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 87 + -84. Suppose 959 = -m*n + 22298. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.3290151cm?\nAnswer: 0.000003290151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 31 - 4 = 0. Let d = c - -62. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*l + 5 = 5*m + 4*l, m - 1 = 3*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -9*b**2 + 20365681*b + 31679970 = 0. What is b?\nAnswer: -14\/9, 2262855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 3*a + 0*a + a. Let u(j) = j**2 - j + 11. Let y be u(0). Let g(p) = -y + 11 - 2*p**2. Give g(i(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -49, -42, -31, -22, -21, -34, -67?\n\"Answer: -p**3 + 8*p**2 - 10*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of p**6\/120 + p**5\/60 - p**4\/24 - 2*p**2 + 72. Calculate j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1190 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -29694 by -4424.\nAnswer: 2121\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 51, 78, 107, 138, 171, 206?\n\"Answer: j**2 + 24*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -101*n + 9. Let z(a) = -51*a + 4. Let u(m) = -6*l(m) + 11*z(m). Let j be u(4). Suppose 7*s - 537 - j = 0. List the prime factors of s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 428895.\nAnswer: 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from {n: 2, k: 2, t: 2, f: 3, b: 2, j: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 3*u**2 + u. Let o be g(-1). Let n(t) = t**2 - t. Let k be n(o). Suppose k*f + 0*f = -2*c + 4, 40 = 5*c - f. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 14728 and -28.\nAnswer: -412384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 13*g + 3808 = 0. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -40662555 (base 8) to base 2.\nAnswer: -100000110110010101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1830835790 to the power of 1\/2, to the nearest integer?\nAnswer: 42788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -190 * 1.1945.\nAnswer: -226.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 4 = 4. Differentiate -3*q**b - 5 + 4 + 6*q**4 wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in -11, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 19 (b) -1 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2931919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -24 - 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -190 + 402. Let m = 228 - r. Solve -3*q = -7*q - m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a in a**3 - 1\/5*a**5 + 1\/5*a**4 + 4\/5 - a**2 - 4\/5*a = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 2:58 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(-70) + (-2)\/(-10). Let i = 5295.01 - 5295. Which is the third biggest value? (a) 0 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-57)\/(-11) - 4\/22. Suppose 4*w - 4*o + 54 - 134 = 0, 2*w - k*o = 46. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - 7*h + 10. Let r be b(-8). Suppose -5*s - 59 + 479 = -3*c, -r*c - 252 = -3*s. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - (-1 - (5 + (-16 - -7)))) + -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/37281921 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-23622)\/508)\/((-12)\/(-8))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*p + 9 = -35*p - 25*p + i, -2*p - 12 = 8*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -150.1 and 5.\nAnswer: -750.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 19*c**2 + 13. Suppose -2312 = 58*t - 50. Let a(l) be the second derivative of -l**4\/4 - l**2 + 8*l. Determine t*a(s) - 6*y(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.2 + 0. Let x(n) = 27*n + 77. Let i be x(-3). What is the closest to h in 26, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68.45377 millilitres in litres?\nAnswer: 0.06845377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v**2 + 2*v - 2. Let k be u(1). Let y be (1*10)\/(1\/2). Let d(b) = 6*b**2 + 12*b. Let h be d(-2). Solve h = r + k*r + y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l + 8. Let z be p(-16). What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 790852714?\nAnswer: 2, 395426357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 635*o + 4016 + 8355 + 6044 = 0 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*v - 5. Suppose v*c = c - 7. Let w(d) = -13*d**3 - d**2 - 6*d - 7. Let b(f) = -4*f**3 - 2*f - 2. Suppose 0 = i - 2 - 0. Determine c*b(z) + i*w(z).\nAnswer: 2*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -157\/60 and -23\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 - -23. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13.6033 rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 93.92467 millennia in centuries?\nAnswer: 939.2467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2\/39, 16 in descending order.\nAnswer: 16, 1, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + d + 3*d = -46, -3*s + 4*d + 67 = 0. Let i(k) = 4*k**2 - 10*k + 1. Let y be i(10). What is the remainder when y\/5 + (-6)\/30 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -38, -4, -5, -1 in ascending order.\nAnswer: -38, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 593 is divided by 116.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 50357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, -5, -13, -25, -41, -61?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -15 - (18 + (14 - 38) + 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6365, -25503, -57391, -102023, -159393, -229495?\n\"Answer: q**3 - 6381*q**2 - 2*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7436186 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) 38\/3 (d) -13.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p = -15 + 55. Suppose 3*y = f - 6, -p*f + 66 = 2*y + y. What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of -c**6\/105 + c**5\/35 + c**4\/42 - 2*c**3\/21 - 7*c. Suppose f(x) = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 750130 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*4\/8)\/((-9)\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.04, -31, -5, -0.3, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 133 - 463 = 0. Suppose -557 + 95 = -69*b + 918. What is the smallest common multiple of g and b?\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -40*p**3 + 4*p**2 - 5. Let n = 277 + -280. What are the prime factors of h(n)?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n**3 + 3*n**2 + 2*n + 3. Let l be t(-2). Which is the closest to 1? (a) l (b) -1 (c) 1\/6 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 2*q = 49, -6*d - 4*q + 46 = -4*d. What is the nearest to -1\/3 in d, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.513 - 1.913. Let m = -0.18 - 1.82. Which is the nearest to m? (a) -2 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -5028028 times 0.025\nAnswer: -125700.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 1080 divide 45021205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/1212008 and 41\/82808.\nAnswer: 13332088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j\/(j\/(j*(j\/((j*(j*j**(2\/3))\/j)\/j))\/j))))\/j*j**(-4)*j)**(-37)*(j*j**(1\/6))\/(j**(-2\/13)\/j)*(j**1)**(-1\/24) assuming j is positive.\nAnswer: j**(39191\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4*((-4)\/9)\/((-52)\/234). Let v(j) = -j**2 + 10*j + 12. Calculate v(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 141 + -136. Which is the second biggest value? (a) o (b) -4\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 1093*c + 404*c + 3.\nAnswer: -689*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 8:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (10*l**4 - 3*l**4 + 2*l**4)*(-4 - 1 + 1) - 4*l**4 + l**2 - l**2 in the form v*l + w + d*l**4 + i*l**3 + r*l**2 and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 322 is divided by 114?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -c**3*i*u**3 + 78*c**3*u**2 + 62*c**3*u + 20846*c**2*i**3*u**3 - c*i**3 wrt u?\nAnswer: -6*c**3*i + 125076*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 13, c: 6}. What is prob of sequence ccr?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-42)*30\/(-60)*(-42)\/(-3)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -180 + 88 + 92 + 8*u**2 - 12*u**2. Let x(c) = 310*c + 1. Give y(x(t)).\nAnswer: -384400*t**2 - 2480*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose p**3\/4 + 11*p**2\/4 = 0. What is p?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 66 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 85164, 341133, 767734, 1364973, 2132856, 3071389, 4180578?\nAnswer: 5460429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 8:14 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of -v**7\/70 - 4*v**6\/5 - 61*v**5\/20 - 15*v**4\/4 - 6*v**2 + 6. What is s in j(s) = 0?\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, -111103 in ascending order.\nAnswer: -111103, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the second derivative of -m**3\/3 + 17*m - 9. Let c(a) = -2*a**2 - 6*a + 16. What is c(k(n))?\nAnswer: -8*n**2 + 12*n + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/49362 and -23\/24?\nAnswer: 197448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*b - 44 - 27 + 146 = 0. Solve 5*m + 5*o + 10 = 0, b*m - 6 = 5*m + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -786*c**3 - 45*c**2 - 315*c + 11. Is l(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) -8 (b) 45 (c) -13607 (d) 2\/3 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1 + sqrt(5)) + -6*sqrt(5)*-1.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 22187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be (155 - -3) + (4 - 2). Let x = c + -86. What is the remainder when (-1 - -2) + x\/2 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -41 - -165\/4. Let r be ((-1)\/2)\/(10 + (-1610)\/160). Suppose 3*y = 4*x + r, -y + 2 - 1 = -3*x. What is the nearest to x in d, -0.2, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 317 - 312. Let s = 0.06 + -0.16. What is the fourth biggest value in s, -4, u, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-1)*y)**(-1\/42)*y**2*y**(-5\/4))\/(y**(-7\/2)\/(y*y**(1\/5)*y)*y\/y**(-4)*y\/(y\/(y*y*y\/(y*y**(2\/9)\/y)*y*y*y)*y)) assuming y is positive.\nAnswer: y**(-4223\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7931482?\nAnswer: 2, 13, 107, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3693 a factor of 35092138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(1\/3))\/(g*g**6))\/(g*g**3*g**1) assuming g is positive.\nAnswer: g**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2169 = 27*z - 8379. Is 1 + (408\/20)\/(4\/z) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -15*p + 11. Let r be -8*(55\/10 - 4). Is i(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/2 and (-241)\/(-24) - 5\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 5, b: 5, p: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.4, 1, 4, 0.87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9653, 19260, 28867?\nAnswer: 38474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 239725453?\nAnswer: 11, 21793223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*d + 288*k - 111*k = 172*k + 75, -2*k + 48 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/10 and -56\/492703599.\nAnswer: 4927035990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1827 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*m - 6*m - 5*m to z*m + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 39 - 9. Let x = 34 - a. Let d = 43 - x. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -12*g + 64. Solve -l - 2*w = -10, -3*w + g = -l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 12) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of 7*j**5\/60 + j**2. Let d(n) be the first derivative of -n**2\/2 - 33. Give d(y(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -19 or -655?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 78, -0.2, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*b = -15*b - 416*b - 11880 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -52661702*m**3*s**3 - 553720*m**2*s**2 + 3*m**2*s - 6*m**2 + 3*m*s**3 + s wrt m.\nAnswer: -315970212*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -25049 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be (12\/8)\/((-1)\/64*4). Is (4986 - -2) + 23 + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1105600 - -50?\nAnswer: 1105650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -80230.6267 - -80287.6267059. Let y = 101 - 44. Let w = y - d. What is w rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/(s*(s\/(s\/(s*s\/((s\/s**(-6))\/s)*s))*s)\/s))\/(s*s**(-2)))**(-16) assuming s is positive.\nAnswer: s**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (72\/(-6)*-1)\/(((-32)\/(-64))\/((-49)\/(-28))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-147)\/(-6)*654\/(-327).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*k - 441 = -29*k + 363. Calculate the greatest common factor of 2479 and k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -37*f + 164*f + 157*f + 10*f**2 - 8*f to y*f + x + w*f**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:07 AM and 11:26 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/4 + 1 - 0. Suppose 4*v - 1091 = 185. Let l = v + -7335\/23. What is the biggest value in l, i, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of 147*w**4\/4 + 35*w**3 - 105*w**2\/2 - 2340. Let v(f) = f**3 + f**2 - f. What is -i(g) + 105*v(g)?\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cheeh. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4739*n**3 - 4 + 3 - 17.\nAnswer: -4739*n**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 31.51 - 31.51589. What is m rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 15*r**2 - 22*r + 153. Calculate m(8).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 116*g + g**2 - 116*g. Let l(k) = -6*k**2. Give l(x(c)).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a day in minutes?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-2 + (0 + 2*(sqrt(468) + 1) - (-4 + (sqrt(468) + 0 - sqrt(468)))*6)) + -5)**2.\nAnswer: 15000*sqrt(13) + 62425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 23 - 14. Let j(g) = 4*g + 2. Calculate the remainder when v*(0 + 28\/6) is divided by j(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/7 + 202238*u\/7 - 606696\/7.\nAnswer: -2*(u - 101116)*(u - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -73, -176, -321?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55625293?\nAnswer: 19, 23, 127289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 245928061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12864*s**2 - 12846*s**2 - 14*s - 6 + 25711*s**2 + 6*s**3 - 2*s**4 to the form t + f*s**2 + y*s**4 + z*s**3 + l*s and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:10 PM and 9:12 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8915 is divided by 8422?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -12, 70, -0.1, 2, -5, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 + 2*t)*(2 - 3 + 3 - 18*t) as k*t + y*t**2 + c and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of 79*y**2\/2 + 3*y + 4. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 662.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -4177.719 less than 3?\nAnswer: 4180.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 6) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44211 is divided by 166?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 30312 or -15?\nAnswer: 30312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 154, 302, 448, 592, 734?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11555201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -244.3261598 to the nearest integer.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1847379 is divided by 184657.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**2 - 2. Let v(r) = -r**2 - 2*r - 110. Give 3*q(n) - v(n).\nAnswer: -2*n**2 + 2*n + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -186366389*h**3 - 2*h**2 - 15466664*h + 2?\nAnswer: -1118198334*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -292 + 319. Suppose -14*n - 36 = -190. Solve -8*l = a - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 + u - 8. Let s be f(7). Let q be ((-16)\/s)\/((-1386)\/(-705)). Let t = q - -2\/105. Which is the second biggest value? (a) 4 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n. Let t(j) = j + 20231748. Calculate a(t(p)).\nAnswer: -p - 20231748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -23 by -6529.\nAnswer: 23\/6529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3923313 is divided by 175?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -6940670\/17 not equal to -408276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u + 12 - 10. Let n(w) = 3*w + 7. Let m be n(u). Let h = -5 + 6. Solve -h = -3*t - 4*x, 0*t = -t - x + m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaaaaayaay. What is prob of sequence aaya?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -838*b**4 + 2*b**3 + 5287*b?\nAnswer: -10056*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 - y - 5. Suppose -174 = -26*m + 23*m. Suppose 72 + m = -5*q. Let d(i) = 2*i + 52. Let j be d(q). Give w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 + 270*b**2 + 813*b + 1900. What is r(273)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 8019193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 31, 66, 113, 178, 267, 386, 541?\n\"Answer: z**3 + 28*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 11*m - 12*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 21.089, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 6*b**2 + 26*b + 251. Calculate w(-10).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 9:58 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 5*404\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 12 - (-7 + 27 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**2 + 1. Let m be z(-2). What is the third smallest value in m, 2\/13, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2 - 398*d - 10160. What is a(-24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 take away 231631889363?\nAnswer: -231631889362.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -943260 - 8.\nAnswer: -943268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**2 + 10*q + 18. Let f be p(-9). Let n be ((-6)\/18)\/(3\/f). What are the prime factors of -1*(-72 - n\/(-1))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6346.8 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 225*j**3*x**2 + 584*j**3 - j*x + 2*x**3 wrt x.\nAnswer: 450*j**3*x - j + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 114335680?\nAnswer: 2, 5, 431, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/(sqrt(45)\/sqrt(5)) - (sqrt(405) + sqrt(405)*-3)**2 - (sqrt(605)*2 + 1)*-6.\nAnswer: -1614 + 133*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -24618 = -2555*m - 36643 - 39156 - 40799 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 731831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((1140\/(-96))\/19)\/(10\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -1039 by 51510.\nAnswer: -1039\/51510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2885783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14177 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + a4a?\nAnswer: a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -5 + 1 + 7*2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -177 (b) -9\/224 (c) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 8830629735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5\/2)\/(9\/18). Let z be 73 - ((-6)\/5)\/((-2)\/c). Let h be (-20)\/z + ((-30)\/(-7) - 2). Solve -h*u - 9 = 2*o - 7*o, 5 = -2*u + o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 617\/408 - 25\/17. Let g(b) be the first derivative of 1\/12*b**3 + b**2 + 1 + b + d*b**6 - 5\/16*b**4 - 1\/20*b**5. What is x in g(x) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 0*q - 4 = 0. Let c = q - 1. Does 7 divide 2 - 2*10\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.99 - 4. Let a = l + 0.07. Let f = a + 0.24. Put -3, 2\/11, f in decreasing order.\nAnswer: f, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1500)*2 - sqrt(1500))\/(sqrt(1620)\/sqrt(9)).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -36*i. Let j be v(1). Let g(o) = -o**3 - 8*o**2 + 18*o - 16. Let b be g(-10). Is 251\/b + 27\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -375, 1050, 4273, 9294, 16113, 24730?\nAnswer: 35145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18656 and 5.\nAnswer: 93280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1294 at most -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -61 + 62. Which is the nearest to o? (a) -4 (b) 14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.626 + -0.926. Which is the nearest to 0.1? (a) 3 (b) -0.96 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5827 - -7868. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18738.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 621 divide 5093542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**2 - 4*m + 117. Let l be 0 - 0\/3*(-3 + 2). Let t be z(l). Calculate the highest common factor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*a + 4*n, -5*a + n - 1 = 10. Let y = a + 11. Calculate the smallest common multiple of 11 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 424 divide 66253481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28830*l**3 + 351*l + 29563*l**3 + 119*l wrt l.\nAnswer: 4398*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 + 1 + 17 + -24. Let z be 18 + 2 + -1 + h. What is the first derivative of -2 - z*k**4 + 141*k**2 - 141*k**2 wrt k?\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 11) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -50\/7, 2.3, 30?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 920 and 8375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + 23. Suppose 4*t - 2*r - 6 = 0, -m = -t - 2*r - 0. Suppose -2 = -0*z - t*z. Solve z + 1 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -126240 or -126505?\nAnswer: -126240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 692 = 2*h + v, 680 = -4*h + 2*v. What is the units digit of h\/(-8) + 3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 3\/2*x + 0 - 1\/6*x**2 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9 - 5. Suppose -q = o + 1. Is -7 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j*j*j**(-12))*j)\/((j\/(j*j\/j**(-17\/3)))\/j)*j**13\/(j*j**(-2)\/j) assuming j is positive.\nAnswer: j**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6348 and 34006236?\nAnswer: 34006236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -4*q**3 - 176*q**2 - 9*q - 902. Give l(-44).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2 - (-2 - -4))\/1. Suppose -k + f = 50, 3*k + z*f + 152 = 5*f. Let p = -28 - k. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0\/1*21\/42. Let l be 3\/(s + (-12)\/(-104)). Suppose 3*h - a = 14, -4*h + l = -0*h - 5*a. Solve h*x + 37 = 5*c, 0 = -3*c + 1 + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24408, -24186, -23816, -23298?\nAnswer: -22632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3319186867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 616 by -1.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -317, -6844, -4.\nAnswer: -6844, -317, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 - 8*s**2 + s + 2. Let k be t(8). Let m = k - 6. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(192) + -2 + sqrt(192) + -3 + sqrt(192) + -1 + sqrt(192) + 1 + -3)**2.\nAnswer: -512*sqrt(3) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 36 - 57. Let j = -17 - w. Suppose 0 = j*x + 2*b - 258, 0*b + 63 = x + b. Calculate the highest common divisor of 165 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/36 + (13 - 9)\/48. Let h(l) = -l**2 + 5*l - 3. Let m be h(3). Suppose 5*y - 8*k = -3*k - 25, 3*y + 5*k = 9. Sort y, m, o in ascending order.\nAnswer: y, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1186 (base 16) to base 5.\nAnswer: -120421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 8 = -28. Suppose -n*b + 20 = 4*s, -2*b - 3*b + 25 = 0. Suppose -6*q + 5*q + 39 = s. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -1. Suppose -506*f - 64 = -522*f. Solve i + f = k, -3*h = -4*h + 4*i + 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 688, 759, 834, 907, 972, 1023, 1054?\n\"Answer: -y**3 + 8*y**2 + 54*y + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 739382023?\nAnswer: 31, 2477, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -6*t**2 - 20*t - 6. Let w be k(-3). Put 124, w, -3 in decreasing order.\nAnswer: 124, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-1 - -1) - (35 - (-1 - (3 - -18))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 15740, 31489, 47252, 63035, 78844, 94685?\n\"Answer: u**3 + u**2 + 15739*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2977924692.\nAnswer: 2, 3, 89, 271, 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 2*j - 8 = -j + 1, -24*z + 20*z - 6*j - 46 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 193246582 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7\/2670 + 52673\/22695. Find the common denominator of -23\/12 and y.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 42 + -4. Suppose 0 = 4*q - 3*n + 7*n - 44, -16 = -2*q - 4*n. What is the remainder when o is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 60 + -45. Let x(m) = 7*m**2 + 2*m + 11. Let n be x(-6). Let a = n + -176. What is the highest common divisor of a and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3\/6)\/(4\/40). Suppose 5 = -h*d + 85. What is the lowest common multiple of 34 and d?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1037180 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11.03 - 11. Let x = 1030.03 - 1035. Let r = v - x. Sort r, 1\/6, -3\/4 in descending order.\nAnswer: r, 1\/6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 94, -5988, -0.1, -4, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.0432 (b) 5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 58 + -19. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2676*k + 229*k**2 + 2677*k + 14727*k**2 in the form g*k**2 + j*k + v and give g.\nAnswer: 14956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 276086092.\nAnswer: 2, 69021523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k - 6024 + 6024 = 0. Suppose -n + 2 = t, 2*n - 2 = -6. Solve -x + t*x + 6 = k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 4*q - 2*q**2 + 2*q + 4 + q**2. Does 9 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/1108 and 23\/136.\nAnswer: 37672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -9, -2\/7, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2*x + 2)*(2466 + 1441 - 13525) as y*x + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide (-4)\/6*(-42 - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1037\/9 + -115. Suppose 5*o = 8 - 38. Let u be o\/(-4)*((-235)\/(-75) - 3). Which is the smallest value? (a) r (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1359198*q**2 + 34*q + 10338.\nAnswer: -2718396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 4*u - 32 = 16, u + 38 = 2*v. Suppose -5*y = v, 0 = s + 5*y - 130 - 6. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -26 (b) -5 (c) 0 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f**1*f)\/f*f)**(6\/5)\/(f**0*f**5))\/((f**(-1))**(-13))**(10\/3) assuming f is positive.\nAnswer: f**(-671\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3.49994633 rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 293387497.\nAnswer: 13, 223, 101203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 27*r - 243. Let j(g) = 2*g**2 - 7*g + 12. Let l be j(3). Let n be k(l). Which is smaller: -1\/212 or n?\nAnswer: -1\/212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -3*u + 10, -3*i = u + 137 - 144 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is f in -36*f**3 + 1700*f**2 - 376*f = 0?\nAnswer: 0, 2\/9, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1287, -2441, -3597, -4755?\n\"Answer: -i**2 - 1151*i - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 3, 1621831 in increasing order.\nAnswer: 3, 14, 1621831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of i**7\/35 + 3*i**5\/20 + 7*i**2. What is the third derivative of q(p) wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -41 and -0.0417649.\nAnswer: -41.0417649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 1490*a**2 + 687*a - 3. Let s(v) = -744*v**2 - 343*v + 1. Let z(g) = 7*s(g) + 3*y(g). What is the second derivative of z(k) wrt k?\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -239 = 39*w + 91 + 177 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9.44 + 22.34. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-4))\/(178\/1068)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -4*s**3 - 2*s + 0*s**2 + 3*s**2 - 6*s**2 + 5*s**3. Let v be k(4). Suppose -8*j - v = -12*j. Solve -6 = j*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -6*u. Suppose 5*p + 0*l + l - 18 = u, -3*l = -3*p + 18. Suppose p*x + 44 = 6*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 0*f - 3*f + 2*f. Let z(u) = -u**2 + u - 1. Let m(k) = -6*k**2 + 11*k - 7. Let l(j) = -m(j) + 5*z(j). Let x be l(4). What is c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/2)\/(5 + 3 + -7). Which is the nearest to 0? (a) -6 (b) l (c) 2 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 AM and 11:07 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 554*d*j**5 - 6655*d*j**4 + 249162613*d*j wrt j.\nAnswer: 11080*d*j**3 - 79860*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6 + 3*r**3 + 4*r - 4*r - 3 with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zvp. What is prob of sequence vp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 3*v = 11, 2*a + 2*v = 8 - 14. Calculate the least common multiple of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 5128497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2499*v. Let a(u) be the second derivative of -u**3\/6 - 2481*u. Calculate a(w(h)).\nAnswer: -2499*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together 310185074634 and 1.5.\nAnswer: 310185074635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(0 - (-2)\/(-14)). Let n(y) = -y**3 + 4*y**2 - 3*y - 1. Let f be n(3). Let u = g - f. Solve -12 = -4*z + u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5562 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -5929 divided by -10\nAnswer: 5929\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 5*q + 6. Let p(d) = -28*d**2 - 13*d - 14. What is p(k(l))?\nAnswer: -700*l**2 - 1745*l - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.467095 decades in centuries?\nAnswer: 0.0467095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -4*h - u - 6, 2*u - 2 = 3*h. Let n(t) = t**3 - 19*t**2 + 32*t + 40. Let p be n(17). Solve h*k - 16 = p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p. Let i(k) = 8*k - 4. Let s(h) = 6*d(h) + i(h). Suppose -5*l - 3*u - 8 = 3, 3*u = -2*l - 8. Let t be -1*l*(2 + 2). Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 680295 and 84909.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*p = -60*p. Suppose p = 3*n - 34 - 1373. Suppose -2012 = -s - n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xzxzxxxzzzxxx.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 8*j**2 - 43*j. Let f(z) = -4*z**2 + 21*z. Determine -13*f(h) - 6*i(h).\nAnswer: 4*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*j + 2*j - 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1199 is divided by 256?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/2 of a gram in milligrams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -3*b**2 - 23*b - 19. Let h(l) = -2*l**2 - 12*l - 10. Let q(p) = -3*d(p) + 5*h(p). Calculate q(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 6 + 51. Is -3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 272 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1326 and 15967250.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m, 1 f, and 1 c when four letters picked without replacement from mgcvmfbv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 259 - 1279 = 0. Suppose 4*w - 184 = x. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 8:50 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of 0 - 1\/6*b**6 + 0*b**5 + 0*b**4 + 1\/6*b**3 + 0*b**2 - 4*b. What is the second derivative of l(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -87 - -93. Let p = 1488 + -1477. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*b*w**2 + 7*b*w + 2887*b + 145*w**2 - 2*w - 1 with respect to w.\nAnswer: -4*b*w + 7*b + 290*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 755*m + 64 = 759*m. Let t(h) = -5 + h**2 + 4*h + 6*h + 0*h**2 - 2*h. Let d be t(-9). What is the highest common divisor of m and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 6624 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 187 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -2*k**2 - 17*k - 25. Let z be i(-5). Solve 3*w = w + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 153*c = -470*c. Suppose 4*o = -0*w + w - 19, -5*w - 5*o - 30 = 0. Put 3, -7, c, w in increasing order.\nAnswer: -7, w, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3871 and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -9*q**2 + 747*q - 58. Calculate b(83).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y*y\/(y\/(((y**34\/y*y)\/y)\/y)))\/y*y**4)\/((y\/(y\/((y\/y**(-13))\/y)))\/y**(-1\/6)) assuming y is positive.\nAnswer: y**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -278123480 rounded to the nearest 10000?\nAnswer: -278120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - ((-4 - 0) + -16 + 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*d**2 - 3*d**2 - 7*d**2 - 7*d**2 + 12*d**5 wrt d.\nAnswer: 720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.93*8653.\nAnswer: -16700.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/4620 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2197*b = 2600*b + 8328 + 2553 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2353 + 2307.14. Let j = 28 + g. What is j rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-15) + ((-6)\/14 - 370\/(-525)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/36*(-9)\/30?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -78728 divided by 9841\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 3*v = -60 - 8, 3*a = -3*v + 117. Suppose a + 63 = 4*g. Solve -5*x - g = 3*k + 2*k, 5*x = -k - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 7*c - 56. Let a(l) = l**2 + 16*l + 61. Let v be a(-5). Give s(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13*(-20)\/(-520)*46.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2164913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000828280653 to seven decimal places.\nAnswer: 0.0008283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s + 7*s - 192. Suppose -9*w + s = -6. Solve x - w = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107435 (base 9) in base 8?\nAnswer: 175774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the second derivative of -3*o**4\/4 - 25*o**3\/3 + 5*o**2\/2 + 112*o + 1. Let j be y(-5). Calculate the highest common divisor of 110 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-4))\/((-2)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -92 = 2*r + 2*r. Suppose -3*l - 3*w + 12 = 0, 5*w - 3*w + 4 = 0. Calculate the lowest common multiple of l and 0 - r - (-5 - -6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*(6\/14 - 100\/168). What is the third smallest value in -9, 1, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -10 - 12 + 22 - s**2. Let d(k) be the first derivative of 263*k**3\/3 - 3221. Calculate d(l(n)).\nAnswer: 263*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.15270339 and 0.3?\nAnswer: 0.045811017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 85 - 78. What is the least common multiple of 9 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, -1, -637, -4.\nAnswer: -637, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 53 - 50. Let o be 393 - w - 1 - -1. Let z = -246 + o. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 79 - (-18 + 56) - 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/2 - (-135)\/(-18). Let k(j) = j**3 + 10*j**2 + 8*j - 1. Calculate k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 620 and 3162?\nAnswer: 31620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 1250*x**2 - 629*x**2 - 623*x**2. Let o(z) = 6*z - 2. Let l(i) = i + 9*i - 7 + 10*i - i. Let a(p) = 2*l(p) - 7*o(p). What is k(a(y))?\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 0*p - 2 = 0. Let n be p\/10 - (-28)\/10. Let d = -226 + 227. Put n, d, -1 in ascending order.\nAnswer: -1, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 - -3. Let r = 37 - 38.01. Let j = -0.01 - r. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5652)\/4239)\/(12\/(-153)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -273 or -0.2?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4915 and 75.\nAnswer: 73725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l - 4*l = o - 273, -3*o = 2*l - 139. Let m = -25 + l. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 134, 258, 346, 380, 342?\n\"Answer: -3*c**3 + 145*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*c**2 + 1 + 0*c**2 - 3 - 7.\nAnswer: 3*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2111001031 + 23?\nAnswer: 2111001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 3.85?\nAnswer: -11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -13, -23, -29, -31?\n\"Answer: 2*a**2 - 16*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(432) + sqrt(432)*-2*-4)\/sqrt(12))\/(sqrt(12) + sqrt(12) + (sqrt(12) - sqrt(432)*2) - -6*sqrt(12)*2))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -48 divided by -4150\nAnswer: 24\/2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -610 + 613. Suppose 8*p - 10*p - 7 = m*t, 3*p = -4*t - 9. Calculate the least common multiple of 157 and p.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - (3 - (5 + 0)). What is the third derivative of -6*v**2 + 4*v**5 + 0 + 7*v**j + 0 wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -113 = -4*h - 5*p, 3*p - 20 + 5 = 0. Let -5*o**4 + 206*o**3 + h*o**2 - 211*o**3 + 3*o**2 - 15*o = 0. Calculate o.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 8 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 150*z - 170*z - 12 - 328 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2. Let t(j) = 765*j - 5. Let q(i) = -383*i + 2. Let w be (-2)\/4 - ((-30)\/12 - 3). Let s(x) = w*q(x) + 2*t(x). Calculate a(s(l)).\nAnswer: -148225*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of a**2*m**3 - 34*a**2*m**2 + 3*a**2 + 2*a*m + 2*m**3 + 571*m wrt m.\nAnswer: 6*a**2*m - 68*a**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 2*m + 16 = -10, -5*l = 5*m - 130. Calculate the highest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/770)\/(((3\/8)\/1)\/((-196350)\/(-52360)))?\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11052830 is divided by 1568.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 - 2*n**2 - n - 4. Let p be x(3). Suppose 7 = 4*i - d + p, d + 5 = -5*i. Let j(z) = z + 10. Is j(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 975\/156*(-1008)\/(-105).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3.6 - -1. Let o = g - 4.1. Sort -2, o, -3 in increasing order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9? (a) 0.06 (b) -2\/13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/7 - 40\/(-7). Suppose -w + 19 = -2*t - j*w, t + w = -5. Let f(i) = i**3 - 3*i - 2. Calculate f(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = -4*j + 2*j. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 312021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*x + 97266 = 96586 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 15.6168, 1 in ascending order.\nAnswer: 0, 1, 15.6168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -888 by 222.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 290304696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-19)\/(1330\/200))\/(60\/(-24))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4 + -8 + 0*3\/(-9). Let h = 32 + -37. Put o, h, -3 in increasing order.\nAnswer: h, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l**2 + 2*l. Let o be s(1). Let u be (-2)\/13 + 4465\/9165. Which is the nearest to 0.05? (a) o (b) u (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -79*r + 4*r**5 + 79*r + (0*r + 0*r - 3*r)*(3*r**4 - 3*r**4 - 2*r**4).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 200 - 221. What is the least common multiple of w and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2837584 is divided by 12957.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1030*a**3 + 1811*a**3 + 62*a**3.\nAnswer: 2903*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -803, 1, -9, -8, 5 in increasing order.\nAnswer: -803, -9, -8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 158908701?\nAnswer: 3, 7, 7567081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -167143 = -26*c - 33347. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*u - m + 53, -15 + 38 = 5*u - 0*m - 4*m - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 - ((4 - 6) + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 5*g = -198. Suppose -8 = g*k - 67*k. What is the lowest common multiple of k and 47?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 - 3*v**2 + 9*v - 2. Let p be w(-5). What is the closest to 1 in 0.1, 5, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 43*v + 43*v + 48*v - 138*v - 13*v**2. Let y(u) = 2*u. Determine z(y(h)).\nAnswer: -52*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 592 and 740.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 4 - 2)*(0 + 4 - 6) - 4 + 3 - 1)*(1 + 461*y + 439*y - 452*y).\nAnswer: 896*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 237 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of m**4\/4 + 40*m**3\/3 + 8*m**2 - 187*m - 153. Is c(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -215, -91051, 4.\nAnswer: -91051, -215, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 568, 2280, 5126, 9106?\nAnswer: 14220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.08 + 5.08. Let y = 292551 + -292552. Let w = -0.2 - -0.3. Put w, -4, y, d in ascending order.\nAnswer: -4, y, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-h - 3*h + 2*h)*(2 - 4 + 0) - 4*h + 6*h - 4*h + 14 - 14*h - 14)*((2 - 2 - 2)*(-h**2 + 4*h - 4*h) - 4*h**2 + h**2 + 2*h**2 - 2*h**2 + 0*h + 0*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2 - 8*r + 2. Let z be h(8). Let k = -3 + z. Put -3, k, 0 in decreasing order.\nAnswer: 0, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 204, 409, 614, 819, 1024?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/476476 and 159\/13211380.\nAnswer: 145325180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -199*o**4\/2 - 3366*o**3 - 56355*o**2\/2 + 4913*o.\nAnswer: -o*(o + 17)**2*(199*o - 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 103 + 143 = 31*k + 10*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 81124 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e + a6679?\nAnswer: a6688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - -3)*4\/(-102). Suppose p = -3*p + 8. Suppose 1 = -3*m + p*m. Is m > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 0*m + 12*m**3 + m**2 - 2 - 5*m**3 - 2 + m. Suppose 5*l + 3*b = 19, 5*l - 5*b = -4 - 1. What is the units digit of o(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1635556 divided by 142\nAnswer: 11518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x + 34. Let l(c) = -c**3 + 22*c**2 + 136*c - 55. Let d be l(27). What is a(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 100 divide 12600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -8\/86197125 and 91\/15.\nAnswer: 86197125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19972 is divided by 2353?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 125 - (39 + 15 - -203)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes after 2:11 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, b: 1, e: 2, h: 2, m: 2, u: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(80) + -4 + (4 + sqrt(20) - sqrt(5)) - (-5*(0 + sqrt(5) + 1 - sqrt(5)))**2.\nAnswer: -25 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-77)\/105*-8 + 4\/30. Solve -10 = 4*b - l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 272 and 60161696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0*((-1)\/10)\/(1\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 + -47)\/(-12) + (-6 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4 + -1 + 6\/2. Suppose 0 = 4*b - 3*b - g. What is the units digit of 26\/b - 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/11735 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100200112001 - 1110?\nAnswer: 100200110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -p + 10. Suppose 7*d = 4*d + 15, -13 = 4*c - 5*d. Calculate the highest common divisor of c and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21760 (base 10) to base 9.\nAnswer: -32757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the third derivative of -92*o**7\/35 - o**6\/60 - 1441*o**5\/20 + 1652*o**2. Find the third derivative of i(m) wrt m.\nAnswer: -13248*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-28)\/6*(-5 + -1). Let f = -53 + z. Let j be (-116)\/(-10) + (-10)\/f. Calculate the greatest common divisor of j and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the second derivative of -w**3\/6 - w**2 + w. Let i be k(-2). Solve m - 3 - 2 = i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*a**2 + 4*a**2 - 6*a**2)*(-2*a + 2*a + a)*(3*a + 2*a - 4*a).\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12251 + 1518. Is r a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.6749231*-4.\nAnswer: -6.6996924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 280*n - 679*n = -11172 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9602 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 5, 25, 9, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1010 (base 3) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 PM and 1:29 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23\/(230\/(-24))*2\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 1758791 and 1758721 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 7*s = -981. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.6 + 1.1. Let f = -275 + 7426\/27. What is the third biggest value in -1, f, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 185 - 182. Let l = 2.65 + -2.47. Sort w, 0, l, -0.2 in increasing order.\nAnswer: -0.2, 0, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -27 + 53\/2. Which is the nearest to 0.2? (a) 0 (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10\/(-4)*(-14)\/(-35)*-955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3236447.71062 - -3236477. Let b = i - 29.25. What is b rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dsx when three letters picked without replacement from sooodoxxsgdssgxg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-654)\/(-9265)*(-10)\/((4 - 1) + 5)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, 2\/152219, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2083 is divided by 148?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 47015784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**30\/(((u\/(u\/(u\/(u**(22\/5)\/u))))\/u)\/u))\/(u**(19\/6))**12 assuming u is positive.\nAnswer: u**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -0.5, -2395, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -703374, -1406889, -2110404?\n\"Answer: -703515*k + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.214 + 0.086. Let c be 0 + 3 - (1 - 2). Let p be ((-1)\/c)\/(4\/(-24)). Do p and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11956, 11954, 11952, 11950, 11948?\nAnswer: 11946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c - 1612 + 5147 = 0. Let y = c + -214. Calculate the smallest common multiple of 11 and y.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (40\/24)\/(8 + (-14391)\/1782).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from alplpps. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -360 - 4*u - u**3 + 16*u + 377 + 5*u**2. What is v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 18.2 + -18. Let i = 1.5 + -2. Sort i, c, -4.\nAnswer: -4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 + p**2 + 3*p - 5. Let h be y(-4). Suppose 64*d = h*d - 16. Let x = d + 22. Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 232355617?\nAnswer: 13, 19, 43, 131, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 692144\/3, 0.5, 2\/3, 0.1 in decreasing order.\nAnswer: 692144\/3, 2\/3, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5369 and 162.\nAnswer: 869778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -14*p**2 + 36*p + 8. Let k(g) = 15*g**2 - 35*g - 6. Calculate 2*f(n) + 3*k(n).\nAnswer: 17*n**2 - 33*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 19*t**2 + 2*t**4 - 19*t**2 + (4*t + t + 0*t)*(-t**3 - 3*t**3 + 8*t**3) in the form a + p*t**3 + s*t + y*t**4 + d*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.1 - 2.9. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(348\/406)\/(8\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*m + 82 + 121 - 59 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -260*i**3 + 305*i**2 + 360*i + 80. Let l = 265 + -270. Let a(k) = 129*k**3 - 152*k**2 - 180*k - 40. Let q(z) = l*a(z) - 2*w(z). Factor q(y).\nAnswer: -5*(y - 2)*(5*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b + 30. Let u be w(-25). Suppose 0 = -5*g + 3*z + 20, -g + 5*z - 20 = -6*g. Sort -1, u, g, 1.\nAnswer: -1, 1, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 835 and 668?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41679 is divided by 13883?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together 4010974 and 821.14.\nAnswer: 4011795.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t\/t**(-2\/19)))\/(t**2*t)*(t*t\/(t**7\/t))\/(t\/(t*t\/(t*t*t**(1\/4)*t))))**5 assuming t is positive.\nAnswer: t**(-3555\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + -12. Let p(h) = -8*h**i + 7 - 3*h**2 - 2*h**3 + h**3. Let b be p(-11). Solve b = 4*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**2 + 216*l**3 + 10 + 15*l**3 - 10.\nAnswer: 231*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together -5985711140 and -0.3.\nAnswer: -5985711140.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2187, -8602, -19285, -34230, -53431, -76882?\n\"Answer: x**3 - 2140*x**2 - 2*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 17*d - 44. Let c be t(3). Suppose c*o - 23 = 12. Solve -3*x + 9 = 0, o*x + 1 = 5*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7.71*30.\nAnswer: -231.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-12840)\/1498 + 90\/(-14) + 6 + 709\/79?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1028?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -14.479 times 0.33?\nAnswer: -4.77807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 376761467?\nAnswer: 499, 755033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 - 11 - -4 - 15 - (-9 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, d: 12}. What is prob of sequence pdd?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 4, x: 10}. What is prob of picking 3 x and 1 e?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.6, -0.4, -2\/1113?\nAnswer: -2\/1113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 611 times 0.06?\nAnswer: 36.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 2*z. Let m(c) be the second derivative of 2*c**3\/3 + 9*c. Let d(y) = 7*i(y) - 3*m(y). Let v(k) = -3*k**2 + 8*k. Determine v(d(g)).\nAnswer: -12*g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 122 and 280173?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r + r**3 + 0*r**2 - r**2 + r - 2. Let g(q) = -6*q**3 - 3*q**2 + 3*q + 6. Let k(b) = g(b) + 3*i(b). Factor k(o).\nAnswer: -3*o**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 53*o**2 + 18*o - 124. Let u(t) = 13*t**2 + 4*t - 31. Let w(g) = 2*p(g) - 9*u(g). Differentiate w(i) wrt i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10080?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1900?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -912 - -513. Let o be (-315)\/((y\/149800)\/(-19)). Round o to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 1 + 2 + 4 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*s**2 - s**2 + 5*s**2 - s**2.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7282*w**5 + 905*w - 1 wrt w?\nAnswer: 145640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -268*g + 605*g - 11 + 135*g**2 - 287*g - 133*g**2.\nAnswer: 2*g**2 + 50*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10212*x**4 + 69*x**3 + 523078*x**2.\nAnswer: 245088*x + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42, -67, -86, -99, -106, -107?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11471\/2 + 1892819\/330. Let k = 1\/55 + u. Let x = 81\/5 + -16. Put 2\/9, x, k in decreasing order.\nAnswer: k, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(1573)*1 + 0 + sqrt(1573))**2 + (-6*(sqrt(1573) + (-1*sqrt(1573) + sqrt(1573) - sqrt(1573)) + sqrt(1573))*2)**2.\nAnswer: 88*sqrt(13) + 232808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9909 - -9914. Which is the fourth biggest value? (a) 29 (b) g (c) -10 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -31*g - 99. Let d be t(-3). Let s(w) = 9863*w**3 + 12*w**2 + 3*w - 6. Let v be s(d). What is v rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -l**3 + l**3 - l**5 + (l**5 + 0*l**5 + l**5)*(1 - 3 + 4) + 4634*l**5 - 5 + 5 - 1131*l**5.\nAnswer: 3506*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/27)*l\/(l\/(l\/l**(-6\/5))))**(-1\/79)*(l*l**(-10)*l*l\/l**8)**46 assuming l is positive.\nAnswer: l**(-7359137\/10665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*x + 32*x + 161 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**10)**11*j**(-2\/9)\/((j\/(j*j**(6\/13))*j)\/j) assuming j is positive.\nAnswer: j**(12898\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 3. Let d be ((-8)\/(-196))\/(3282\/(-1734) + 1). Let u = -2\/129 + d. Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -3451*f**2 + 8*f. Let a(i) = 2300*i**2 - 5*i. Determine 8*a(k) + 5*w(k).\nAnswer: 1145*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {j: 1, a: 3, y: 2, f: 2, k: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/6*5*2\/15\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0086020149 to 6 dps.\nAnswer: 0.008602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6896*g**4 + 103*g - 15 wrt g?\nAnswer: -82752*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 15, -5*q + 7*n - 2*n + 185 = 0. Factor q*i - 79*i - 1 - i**2 + 41*i.\nAnswer: -(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 2.8. Let v = l - 0. Let r = -0.2 - v. What is the closest to 0.1 in -2\/3, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1478 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 147545609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/160524092 and 73\/4.\nAnswer: 160524092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 5*c - 46348, 10*p - c - 33284 = 82640. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -i - 4*p, 0 = -i + p - 4*p + 5. Let z(s) = 0*s**2 + 0*s**i - 4*s + s**2 + 3. Let c = 0 + 4. What is z(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 176*l**2 + 16. Let q(n) = -59*n**2 - 5. Calculate -5*g(c) - 16*q(c).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbbbblbbblbbllbblbb. What is prob of sequence llb?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-1\/8)*u**(-6\/7)*u**(1\/11)\/u*u\/((u*u**(2\/5))\/u) assuming u is positive.\nAnswer: u**(-3977\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7865 and 1696420?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5487\/4 - 1253785\/914. Let i = 92423\/170004 + j. Let q = -59821\/6744 - 4\/843. What is the common denominator of i and q?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.6 * 25\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and 0.063?\nAnswer: 3.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9221 - -9316. Calculate the greatest common factor of k and 2983.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or 742792?\nAnswer: 742792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 67032575 = 3*f + 4*z, 3*f + 5*z = 40219532. Suppose 0 = -5*o - f - 22093481. What is o rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (28\/16)\/(-2 - (-51)\/24). Suppose d + 9*z - g*z = 11, -3*z - 17 = 2*d. Let m(b) = -4*b - 2. Calculate m(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -359+-7.2\nAnswer: -366.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 97848\/54 - -11*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:19 PM and 9:43 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14.52 + -14.62. What is the nearest to 20\/7 in -5, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17130114, -17130115, -17130116, -17130117, -17130118?\nAnswer: -17130119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23 + 5814842*f**2 - 5814842*f**2 - 2*f**3.\nAnswer: -2*f**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -44 - -46. Let z be (x - 1) + 7 + -3. Factor 3*h**3 + 11*h**2 + z*h**3 - 3*h**3 - h**2.\nAnswer: 5*h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 28812 and 7992.\nAnswer: 19188792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 332115151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/30*-4 + 44\/10. Let a(y) = i - 7 + 5*y - 5 - 10. Let r be a(4). Solve -z = -r*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -373 + -1223513\nAnswer: -1223886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 386820 and 92100?\nAnswer: 1934100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -138, -147, -168, -207, -270?\n\"Answer: -v**3 - 2*v - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 519539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (56\/(-528))\/((-2)\/4)*(-1206)\/(-1407)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 7}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 55) + 198 + -86?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7173387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x + 3\/2*x**2 + 3\/2.\nAnswer: 3*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 - 12*l - 220. What is u(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4352613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4646 - 622 = 167*z - 1988 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15 + 29. Suppose -x*a = -19*a. Solve s = -a*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 - 13*o - 8. What is the units digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 651201 and 1441.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18351 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4688 and 46294.\nAnswer: 370352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 178, 513, 844, 1171?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 6, 91, 322, 771, 1510?\n\"Answer: 12*r**3 + r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:30 PM and 1:57 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g + 0*g - 7 - g**3 - 3*g**2 + 4*g - 3*g**2. Suppose 0 = -155*t + 2892 + 25938. Calculate the remainder when t is divided by a(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**4\/3 + 18722*q**3\/3 + 1345390*q**2 + 293084342*q\/3 + 7112786828\/3.\nAnswer: 2*(q + 73)**3*(q + 9142)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1707780 < 1707788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -687 + 374 + 313 + 31*x.\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Subtract 4.1 from 7259.08759.\nAnswer: 7254.98759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -263 + 22*o + 263 + (7 - 1 + 1)*((-3 + 2 + 2)*(3*o - 6*o + 4*o) + 3*o + o - o) in the form r*o + a and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -105382*t - 6955214. Determine p(-66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(2\/25))\/f)\/f**9*f**(2\/3)*f*f**10 assuming f is positive.\nAnswer: f**(206\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 351 and 193518?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36\/42)\/(13\/182*-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 38.0034585 minutes to weeks.\nAnswer: 0.003770184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 + 11*o - 3. Let v be z(15). Let b be (9\/v)\/(2\/8). Is b less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of -5*i**8\/28 - 5*i**4\/4 - 16*i. What is the third derivative of j(o) wrt o?\nAnswer: -1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -123 divided by 4?\nAnswer: -123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 136 - 134. Suppose -h*n = 4*n - 720. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -27*q**3 + q**2 + q - 1. Let w = 114 + -113. Calculate n(w).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 2 h when four letters picked without replacement from {h: 17, u: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0 (c) 26 (d) 3\/574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h + 60. Let o be j(0). Suppose 2*f - 121 = -3*v, -v - 4*v + 180 = 3*f. Suppose 5*k - 55 = f. Calculate the highest common divisor of k and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 0.04, 120, -1\/4 in ascending order.\nAnswer: -0.3, -1\/4, 0.04, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 2*c**2 - 12*c - 10. Calculate the remainder when v(10) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/(((-42)\/(-42))\/((-3)\/7)*1)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 345 a factor of 116667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(3\/2)*k)\/k**(-5)*(k**1)**(-38\/7) assuming k is positive.\nAnswer: k**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 955739*j**3 - j**2 - 730029*j wrt j?\nAnswer: 5734434*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the third derivative of -g**5\/60 + 5*g**4\/12 - 2*g**3\/3 - g**2. Let h be v(7). Differentiate -38*f + 34*f + 1 + h*f with respect to f.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.0668*4400.2\nAnswer: -293.93336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u + 18. Let b(g) = 5*g + 71. Let n = 9104 + -9106. What is n*b(x) + 9*a(x)?\nAnswer: -x + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 173347, 346713, 520081, 693451, 866823, 1040197, 1213573?\nAnswer: 1386951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 141 - 136. Suppose -5*y = 3*c - 11 - 11, 2*y = -g*c + 5. Calculate the lowest common multiple of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 39015 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*k + 6*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r**5 - 39*r**4 + 24*r**3 + 1812*r**2 + 5952*r + 5376 = 0 for r.\nAnswer: -8, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -2*o**2. Let j(k) be the third derivative of -61*k**5\/60 + k**3\/2 + 1152*k**2. Give j(q(n)).\nAnswer: -244*n**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y + 2*y - 3*y + 1)*(-3 + 2 - 1)*(-432*y + 0 - 3 + 456*y).\nAnswer: -48*y**2 - 42*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 543 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 2*v = 2, -4*i - 2 = -4*v + 2. Let r = -107.72 + 106.62. What is the closest to i in -2, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m + j = -25, 2*m + 176*j - 180*j = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 28910656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 62334601*t*y**2 - 37*y**2 - 106432*y with respect to t.\nAnswer: 62334601*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -5*0.15\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5259 - 36a3?\nAnswer: -892c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 8*m**2 - 2*m - 15. Let l be j(-3). Do 64 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**2 + b. Let w be n(0). Suppose -y + 12 + 0 = w. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.02, 2\/13, 94 in descending order.\nAnswer: 94, 2\/13, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*d**4\/3 - 35*d**3\/3 + 5*d**2\/3 + 45*d + 30.\nAnswer: 5*(d - 6)*(d - 3)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.252 - 0.5\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -0*p + 2*p - 15, 4*o = -p + 25. Suppose 6*g - 10 = 4*g. Solve 0*d = p*d + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2928)\/(-366)*(-4)\/(32\/(-12))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, -2, 1, 2 in descending order.\nAnswer: 2, 1, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00950859 rounded to 4 dps?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1372\/(-147) + 2660\/(-84).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 + (-90)\/18 + (-5)\/(-2). Factor -v*i**3 - 21\/2*i + 15\/2*i**2 + 9\/2.\nAnswer: -3*(i - 3)*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = x + 2. Solve -x - 2 = -d + 2*i, -5*i - 24 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -344*i + 127*i - 16 + 1 + 129*i to the form w*i + d and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7517? (a) 67 (b) -4\/7 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i - 6*i + i - 11*i + 27*i - 3 + 0*i.\nAnswer: 5*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-16)\/7)\/(-4) - 222\/21. Do s and 0.002 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 + -13.89. Let f = g - 0.25. Let h = f + -0.16. Which is the closest to 0.2? (a) h (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 2*j = j - 172, -3*z = 4*j - 110. What is the highest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 95267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2796 and 5712.\nAnswer: 1330896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 91408821 less than 3?\nAnswer: -91408818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -14, -42, -86, -140, -198, -254, -302, -336?\n\"Answer: n**3 - 14*n**2 + 7*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 - -10313?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 79\/2054*154\/(-5) - (-48)\/60.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -3. Suppose 232*l + 184 = 236*l. Find the third derivative of -l*y**5 + 0*y**g - 9*y**2 + 47*y**5 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i + 75 = -5*t, -18*t + 44*t - 21 = 23*t + 3*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-18)\/(-5) + (-10)\/(-25). Solve 0 = 5*f - t + 14, -f - w*f - 26 = -4*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 - (-86)\/12*-4)*-3. Let y(l) = w*l**3 - 81*l**3 - 2*l - 1 + 0. Let m(s) = s**2 + 4*s - 1. Let i be m(-4). Determine y(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8 - (-4 - 1)) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 3*a = 963, 1 = 4*a - 7. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8471 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 141266509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -1953475 * 0.4.\nAnswer: -781390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.4, 34.5, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 + 40. Suppose -3*t = -2*t. Let w be y(t). Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of 0*b**3 + 0*b - 1\/12*b**4 + 34*b**2 + 0. Let l(a) = -a**2. Give s(l(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of 1\/20*d**5 + 0*d**3 + 0*d**4 + d**2 + 2 - d. Let j(b) be the first derivative of n(b). Differentiate j(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**1)**32*(r**(-1\/4))**(-7\/3) assuming r is positive.\nAnswer: r**(391\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 320*z - 231 + 924 = -267. Sort z, -182, -2 in ascending order.\nAnswer: -182, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26775 is divided by 3013?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1296707 is divided by 216114?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2181901513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 1 = 3*k - 119, 0 = -2*k + 4*w + 84. Suppose 3*l = -2*f + 6*l + 30, k = 2*f - 5*l. Solve 2*o - x + 4*x + f = 0, -2*o = 2*x + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 5*y - 2. Let w(r) = -2*r + 1. Let s(l) = -3*a(l) - 8*w(l). Let p be s(3). Let k be 0 + 2*(0 - -1). Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4805)\/217 + -1*(-9)\/(-21). Suppose -6*x + x - 115 = 0. Are a and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17853 - 17787. What is the smallest value in 1\/5, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-2\/9)\/y)\/y**(-3))**(-3)*(y\/(y**(2\/7)*y))**(1\/3)\/((y**(-3)\/y)\/(y\/(y*y**(1\/5)))) assuming y is positive.\nAnswer: y**(-162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 7*p**4 + 5*p**2 - 82. Let s(i) = 6*i**4 + 6*i**2 - 81. Let m(c) = -6*r(c) + 5*s(c). Differentiate m(h) wrt h.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 22 by 71.\nAnswer: 22\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -27\/2 - -13. Let g = -1 - -0.5. Let v = -0.4 - g. What is the nearest to v in w, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 15843000\/((-58)\/(-60) - (-2)\/(-3)). Round b to the nearest one million.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4351.10459 rounded to zero decimal places?\nAnswer: 4351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2 + 1 + 4 - 4. Let g be d(1). Suppose 3*w + 2*w - 5*m - 744995 = 0, 2*m - g = 0. Round w to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 42*h = 3*s - 6, -66 = 2*s + 36*h - 34*h for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 4, 289\/536, -2\/3, -1\/4, 0.08?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the second derivative of 2*l**3\/3 - 2*l. Let m(k) = 9*k**2 - 11*k + 11. Let s(b) = 5*b**2 - 6*b + 6. Let o(c) = -6*m(c) + 11*s(c). What is i(o(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -6*v**4 + 2938*v**3 - 77812*v**2 + 517048*v + 181104 = 0. What is v?\nAnswer: -1\/3, 14, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 20 = 4*d, -2*d - 3 = 7. Suppose m + 0*m - 4 = l. Suppose 5*c - m*c - 10 = 0. Solve -n = n - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 + 6*z**2 + z + 4. Let y be h(-6). Let s = y - -2. Suppose s = -2*w + 3 + 11. What is the greatest common factor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1449 or -27558\/19?\nAnswer: -27558\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5b1 + -13?\nAnswer: -5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Do 25\/51 and -3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**3 + 10*p**2 + 14*p - 13. Let w be m(-7). Let b = w - 20. Suppose -5*q = -7*q + b. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -4*t**3 - 652*t**2 + 621*t - 5737. Let r be m(-164). Factor -94\/5*i**4 - 12096\/5*i**2 + 41472\/5 - 2\/5*i**5 - 27648\/5*i - 1632\/5*i**r.\nAnswer: -2*(i - 1)*(i + 12)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (825\/60 - 13)\/((-6)\/(-104)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 4\/9 + 2\/9*l**2 - 2\/3*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 37 (b) -406 (c) -0.59 (d) -1\/3 (e) 4 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1355258 - 1?\nAnswer: -1355260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to 12\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 3232217, 3232218, 3232219, 3232220, 3232221?\n\"Answer: z + 3232216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/49140 and 83\/10?\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5662 + 4441 - 5621 - g)*(18 + 5*g**2 - 18).\nAnswer: -5*g**3 - 34210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 98 = -2*t, 0 = 3*t - 0 - 12. Let h be 34\/4 + 24\/16. Calculate the highest common divisor of h and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j - 2. Let t be o(-8). Suppose -m + 4*m = t. Solve -5*u - s - 17 = 0, 1 = -3*u + 5*s + m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 12, -2, 1543 in decreasing order.\nAnswer: 1543, 12, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 56 and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 630793, 630791, 630787, 630781, 630773, 630763?\nAnswer: 630751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 13 = 5*f. Suppose -v + 2*v - 24 = w, -54 = -f*v - 4*w. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 20 = -8*p. Suppose -2*r = 2*y - 10, -p*r + 0*r + 5 = -y. Suppose 0*b + b = 6*b. Solve -2*h - 2 = -r*a - b, -2*h = -8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2229 + 2206. Suppose 0*s + 4*p + 49 = s, 0 = -2*s - 2*p + 78. Let a = k + s. Calculate the remainder when a is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -359*d + 27888 = -356*d + 5*m, -3*d = -m - 27924. What are the prime factors of d?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(9\/7)*g**2)\/(g\/g**(-15)*(g\/g**(-1))\/g) assuming g is positive.\nAnswer: g**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nxx when three letters picked without replacement from {n: 4, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*x - 24 = -17*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 915151*o**3 + 28089376 wrt o?\nAnswer: 2745453*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 0*j**3 - 6*j**4 + 9 - 2*j**2 + j**3 - j - 9 as l*j**3 + g*j + h*j**2 + y*j**4 + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -9*z**2 - 38*z + 31. What is v(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - n - 15, -6*g + 2*g + 2*n + 22 = 0. Let c = 18 - g. What is the remainder when 26 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -872 - -449. Let o be ((-6)\/45)\/((-84)\/p). Let a = 1\/14 + o. What is the second smallest value in a, -3\/2, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 2*g - 6 = 0, -16*g + 21*g - 38 = -4*f. Determine b so that -20\/3*b**3 + 5\/3*b**4 + 0*b**f + 0 + 0*b = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 108 a factor of 321141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -46201 (base 7) to base 8.\nAnswer: -26761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 5*b = 0. Let m = 3 + b. Solve m*w + 7 = -5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 49 + -54. Which is bigger: h or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 11:45 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.75762345 to two decimal places.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -283? (a) -3\/5 (b) -5 (c) 1 (d) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 5, u: 14}. What is prob of sequence ux?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -8*u**2 - 50*u + 2. Let r(v) = -3*v**2 + v. What is 3*r(j) - x(j)?\nAnswer: -j**2 + 53*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7.4 - -9. Let x = k - 0. Let j = 2 - x. What is the nearest to 1\/3 in j, 0.5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -30 divided by 15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (61*d + 45*d - 61 + 61)*(-3*d**2 + 3*d**2 - 6*d**2) as z + l*d + m*d**2 + i*d**3 and give i.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432) - (1*sqrt(432) - sqrt(432)) - sqrt(432))**2 + sqrt(24)\/(sqrt(16)\/sqrt(2)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12529\/25066 - 2\/12533. Let w = 4.96 - -0.04. What is the nearest to 12 in 2, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -39\/5908 and 59\/154.\nAnswer: 64988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -14 and 243.3.\nAnswer: -3406.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -2*o**2 - 21*o - 12. What is s(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*z + 532 = -10*z. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2044 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Total of -20.6 and -0.01.\nAnswer: -20.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 496411 is divided by 17727.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1331481\/469 not equal to 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 29687.1mg?\nAnswer: 29.6871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -244135215 + 5?\nAnswer: -244135210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 0 - 13*f - 1 - 58*f + 0. Let b be d(-14). Is (-1*b)\/((-6)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -49 - (-39 + 16 - 1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -3630 - 140*a**2 - 34*a + 1299*a + 22*a**3 - 17*a**3 = 0.\nAnswer: 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13 + -110224?\nAnswer: -110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2037864 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (27\/36 + 2\/(-4))*30. Let y(v) be the first derivative of 3\/4*v**4 - 1 + 4*v**3 + m*v**2 + 6*v. Factor y(i).\nAnswer: 3*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c - 3. Let q be y(5). Let h(n) = 8*n - 2 - 7*n + 0 + 4 + 2*n**2. Give h(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1031 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: Let c(f) = 7*f - 5*f**2 - 2*f - f**3 + 10*f**2 + 0*f + 6. Let s be c(6). Solve s*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -194992 divided by 1\nAnswer: -194992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -570.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 857152740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/4849 (b) -1\/6 (c) 5 (d) -5 (e) 22 (f) 0.2 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -390906, 0.1, 3, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 373*a + 374*a + 2764*a**2 + 367*a + 621*a**2 - 1112*a as t*a**2 + f + s*a and give t.\nAnswer: 3385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*s**2 + 353*s - 264 wrt s.\nAnswer: 4*s + 353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -32 + 40. Let j be -1 + -1*t\/(-1). What is the second derivative of 32*l**5 - 11*l**5 - 26*l + 4*l**j - 4*l**3 wrt l?\nAnswer: 420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-172384)\/(-48) + 2\/3. Suppose 2*c - c = -4*t + 2873, 5*t + c - w = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1835 times 1074661?\nAnswer: -1972002935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of n**3*z**3 - 15*n**3*z**2 + 2*n**3 - 118894273*n**2*z**4 + 16*n**2*z**2 - 17*n*z**2 + 663*n*z + 5*n wrt z?\nAnswer: 6*n**3 - 2853462552*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:40 AM and 10:40 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4.6, -2, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w - 679 + 112 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 10 = 2*o, 5*s - 4*o = 35. Calculate the common denominator of 103\/(-66) - s\/(-6) and (5\/(135\/6))\/(8\/4)*33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 3*z**2 + 56*z - 1134. What is the remainder when q(57) is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 839*t**2 + 18*t + 2739160 wrt t?\nAnswer: 1678*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -116, -111, -106, -101?\n\"Answer: 5*v - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 1 - (-154 - -153)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/6, 0.1, 0.3, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor w**3\/3 - 488*w**2 + 7301*w\/3 - 2918.\nAnswer: (w - 1459)*(w - 3)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 590295 is divided by 811.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g**3 + 5*g**3 + 3*g**3)*(-8*g - 10*g + 3 + 10*g).\nAnswer: -80*g**4 + 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6595, 7935, 9285, 10651, 12039?\n\"Answer: y**3 - y**2 + 1336*y + 5259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 16*d + 42. Let k(q) = -27*q - 77. What is -3*k(t) - 7*s(t)?\nAnswer: -31*t - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 656, 140 in decreasing order.\nAnswer: 656, 140, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -4*l + 20, -d - 11 = -l - 6*d. What is the remainder when 62 is divided by 122\/7 + l\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 5*f - 8 = v, 0 = 3*v - 3*f + 24. Let j be (-39)\/v + 2\/(-4). Let d be 75\/(-2)*(-8)\/j. Calculate the highest common divisor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.61 - 1.61149. What is n rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 31*r - 463. Let u be n(15). Solve -5*t - 3*t = -u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of 0 + 0*j**5 - 35*j**2 + 3\/40*j**6 + 0*j**3 - 19\/24*j**4 + 0*j. What is the second derivative of z(i) wrt i?\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252 divided by 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**2 + 4*y - 4. Let h(j) = 3*j**2 + 3*j - 17. Let l(d) = 2*d**2 + d - 9. Let a(b) = 4*h(b) - 7*l(b). Let q = 180 - 185. What is q*i(m) + 4*a(m)?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31225192?\nAnswer: 2, 17, 439, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (28*10\/4)\/(285\/(-114))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -46 - -66. Let j(c) = u - 13 - c + 0*c + 2*c**2 + 2*c**2. What is the units digit of j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 (base 6) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 + 6*t - 2. Let k be m(4). Suppose -4*r = 2*w - 2*r + 26, 3*w + 2*r + 34 = 0. Let x = 14 + w. Is k >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(17\/5)*z**(-32)\/z assuming z is positive.\nAnswer: z**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4\/3 - 25049\/(-111)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 - 10*r**2 + 27*r - 9. Let o be k(5). What is the second derivative of -6*g**5 - g**5 - 8*g - o - g**5 wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 20 = -i. Let w = 0 - i. Let j(n) = n + 2. Calculate the remainder when 17 is divided by j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -26414*b + 524*b**2 + 2*b**3 - b**3 - 26408*b + 52820*b - 2 to the form l*b**2 + o*b + i*b**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - l = l - 17, -a + l + 23 = 0. Let j = -14 + a. Let t(m) = 2*m**2 + 9*m + 7. Let g = 288 + -294. Let b(c) = 2*c**2 + 8*c + 6. Give g*t(r) + j*b(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69634 = -47*l + 10*l. What are the prime factors of l?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -1. Suppose 4*x = x + 6. Suppose -x*m + 3 = m. Let p(u) = u + 3. Let a(i) = m*p(i) + 2*b(i). Differentiate a(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = 4*f + 1, 0*f + 5*r = 4*f + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4958 and 19094866.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10872 is divided by 1723.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-115))\/3*(162\/(-6804))\/(1\/(-6))?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:53 PM and 10:49 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 5 = 2*x, -3*d + x = -2*x - 18. Let g be 5\/10*4\/d. Find the first derivative of 1 - l**g + 4*l - 4*l wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (513\/(-108))\/(3\/(-36)*3). Solve 48*d = -s*d - 335 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -2*q**3\/3 + 80*q**2\/3 + 2*q\/3 - 80\/3 = 0.\nAnswer: -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, t: 18}. Give prob of picking 3 t.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - -4. Let f = 10 - w. Let l(s) = f + s + 0*s - 2*s. Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 6) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 11 + 3 = 0. Suppose 4*u = -0 + g. Is 844\/6 + u\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*v - 5*v**3 - 2 + 14*v)*(-1493*v**2 - 8164*v**2 + 2221*v**2).\nAnswer: 37180*v**5 + 14872*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3366475.\nAnswer: 5, 7, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1448422, 1448429, 1448440, 1448455?\nAnswer: 1448474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(605))\/sqrt(11))\/(sqrt(11) + sqrt(539)*-1 + sqrt(539)))**2*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -69052, -69048, -69042, -69034, -69024?\nAnswer: -69012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is c in -2*c**5\/13 - 284*c**4\/13 - 7498*c**3\/13 - 31576*c**2\/13 + 13080*c = 0?\nAnswer: -109, -26, -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/31094603 or 1?\nAnswer: 2\/31094603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -54*c - 1306. Calculate t(-38).\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + -1. Let o = 11 - 10. Let n = -8 + 5. Which is the nearest to o? (a) n (b) f (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**3 + 2140*m**2 + 172392*m - 174528.\nAnswer: -4*(m - 606)*(m - 1)*(m + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*r**3 - 1262663*r**2 + 1522334*r wrt r.\nAnswer: -12*r - 2525326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 28235494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*k**4\/7 - 24*k**3\/7 + k**2 + 24*k\/7 + 4\/7 = 0. Calculate k.\nAnswer: -2, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v**5 + v**5 - 14*v**5 - 3*v**5 - 3*v + 3*v + (3*v - v**2 - 3*v)*((2 + 2 - 2)*(-v**3 + 2 - 2) + 2*v**2 + v**3 - 2*v**2).\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 527*k - 1. Let i be m(-1). Let z be (2\/4)\/((-8)\/i). Let n = z + 9. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h - 2*m - 1, -2*m - 2 = -3*h + 7. Let f be 2*h + -5 + 7. Solve -2*v - 2 = -f*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**2 + 10*c - 10. Let v(z) = z**3 - 16*z**2 + 29*z - 24. Let j = -441 - -455. Let f be v(j). Determine g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -1350*k**5 - 13590*k**4 - 34554*k**3 - 1298*k**2 + 2320*k - 200 = 0. Calculate k.\nAnswer: -5, -1\/3, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24 and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -100001001101011 (base 2) to base 7.\nAnswer: -100400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 376*v**2 - v + 3. Does 18 divide h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 204542957 to the nearest integer?\nAnswer: 14302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 PM and 6:34 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 213.5 - 213. Which is the closest to -8? (a) -3\/5 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1000460723.\nAnswer: 37, 27039479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 10. Suppose q + f*q - 320 = 0. Suppose -2*l = -2*i - q, 2*i = -l - 0*l + 31. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 3:46 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 115*t + t**2 - 144*t - 630 + 258*t + 1642 + 279*t.\nAnswer: (t + 2)*(t + 506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*o**4 - 162*o**3*p**3 + o**2 + 8*o*p**3 + 14*p**3 wrt o?\nAnswer: 48*o - 972*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 862312 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(2\/43))\/i)\/i**(-1\/8)*(i\/(((i\/(i**0\/i))\/i)\/i)*i)**(-3\/26) assuming i is positive.\nAnswer: i**(-681\/4472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 2631*h - 2631*h - 10*h**2 + 4 - 6*h**2 in the form d*h + b + o*h**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -558 = 5*o + 2*q, 0 = 5*o - 3*o + 2*q + 222. Let r = -109 - o. Solve -r = u - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -15673? (a) -235 (b) 2\/3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 287131 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4 (b) 0.1 (c) 2060 (d) -2\/11 (e) -147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 2, h: 3, k: 1, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5274 and (-1 + -3)\/(-24) + (-125)\/(-6).\nAnswer: 36918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, b: 1, u: 1, x: 5, e: 4, p: 5}. What is prob of picking 1 b, 1 x, and 1 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 81444.223 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1531\/3568 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 397*q - 1194. Give p(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -2.06096 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(2\/(-1))*(-3)\/630*20.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 321 divided by 107?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 40\/273 and 43\/63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13.1 - -1.9. Let w = -0.14 + 0.54. Is w less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:05 AM and 5:18 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 693*n + 4590 + 4419 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/4516 or 1?\nAnswer: -1\/4516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1\/34 - 27\/238. Let n = 1.96 - 1.9. Let h = 19 + -19. Which is the third biggest value? (a) n (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 11 = -4. Let r(h) = -h**2 - 2*h + 3. Give r(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 4*x = -32, -5*k + 0*k + 3*x - 29 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4906 - 26b?\nAnswer: -4b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/289656 and 47\/891.\nAnswer: 3186216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -6. Suppose -3*z + 9 = -r - 20, t*r - 17 = -3*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(448)*-5 + sqrt(343) + sqrt(343) + (sqrt(343)*1 - sqrt(343))**2.\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 19504056 divided by -6?\nAnswer: -3250676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.398351 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1414, 1482, 1618, 1840, 2166, 2614?\nAnswer: 3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-15)*(-2 - 1\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) -1 (b) 0.06 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/9)\/((-6)\/(-182)). Let u = q - -29\/3. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that 3*p**2 - 306*p - 309 = 0.\nAnswer: -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -3 + 16. Let g(m) = 11*m**2 - 13*m - 4. Let v be -11 + 4*(-20)\/(-16). Let i(j) = -5*j**2 + 6*j + 2. Calculate f*i(a) + v*g(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4611.\nAnswer: 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (436*d**2 + 42*d**3 - 436*d**2)*((-4 + 5 + 0)*(-d - 2*d + 2*d) + 2*d - 5*d + d - 2*d + 0*d + 0*d - 3*d + 0*d + d - 1 + d + 1 - 4*d + 1 - 2 + 2*d).\nAnswer: -336*d**4 - 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 4:53 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-17 + 13)*((-8)\/(120\/(-9)) + 147\/30)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 4b6593 (base 13) to base 9\nAnswer: 3363568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1293 + 1293 + 6*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*19\/(-8)*4. Let h be v\/(-5) - (-27)\/(-9). Which is the closest to 0? (a) h (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3132332233 (base 4) in base 9?\nAnswer: 1641757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4358819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 23 = -2*y, 5*h - 3*h + 5*y = 5. Let p(m) = -h*m + m - 3 + 5*m + 5*m. Let v(b) = -11*b + 5. Determine 7*p(t) + 4*v(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be -10 + 1*(1 - 0). Let u be 0\/(-3*3\/g). Suppose -s - 4*x + 13 = u, s = -2*x + x + 1. Put 5, s, -1\/4 in increasing order.\nAnswer: s, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wffwwf. What is prob of sequence fffw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(125) - -2*-1*sqrt(125)) + 2*(sqrt(125) + -1))**2*-1.\nAnswer: -129 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -4 (b) -0.4 (c) -1\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 4*p**2 + p. Let s be v(1). Suppose 45 = s*l - 2*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**2 + 14*h + 4. Let i be t(-14). Let g(a) = 0 - i + a + 4. Let w(c) be the first derivative of -c**2\/2 - 1. Calculate g(b) + 2*w(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 3*o**2\/5 + 33*o\/5 + 6 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**2 - 1681632*k + 353485772928.\nAnswer: 2*(k - 420408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 10011011 (base 2) to base 14.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 441 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: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -t + 17, 2*c - c + 5*t - 1 = 0. Let g(y) = -y**3 - 3*y**2 + 2*y. Let l be g(c). What is the greatest common divisor of 88 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (19*k**4 + k**2 - k**2)*(2 + k - 2 + (k + 5 - 5)*(1 - 1 + 2) + 0*k - 3*k + 5*k + 2*k + k - 2*k).\nAnswer: 114*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -6*w + 4. Let r be (-10)\/(-4) + w\/(-2). Suppose -43*q - 133 = -50*q. Solve k + r = l - 0, 2*k - 5*l = -q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 840019 or 840035?\nAnswer: 840035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m**(2\/9)\/m))**(1\/8)*(m*m*m*m*m**(1\/6)*m*m)\/(m\/m**6) assuming m is positive.\nAnswer: m**(205\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 10*h**3 + h + 1. Suppose 5*m + 2 = 2. Let b be (m - -1) + (-18)\/9. Calculate f(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-14 + 30 - 15)*(3 - 2 - 3)*(-2*j - 1 + 1) to u*j + a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -645*d**2*o**2 + 3*d - 14*o**2 - 3*o wrt d.\nAnswer: -1290*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 8) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21713*l**3 - 8091*l**2 + 2 wrt l.\nAnswer: 130278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 30\/4*2184\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 2*n + 3*i = -14, -5*i - 28 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -627 greater than -1305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -34\/35 and -80\/1420839.\nAnswer: 7104195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1.03*-146\nAnswer: -150.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -2 + 13027*u**3 - 13064*u**3 + 2. Give s(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 37 + -30. Which is the third biggest value? (a) 4 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 5*v + 3*g, -v - 9*g = -4*g + 15. Solve -s + 4*r + 11 = v, -12*r + 13 = -s - 16*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 - (18 + -13) - -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + (-11 - -2) + (47 - -4) + -4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1498.7 - -1387. Let n = -119 - k. Let l = n - -6.3. Which is the closest to -1? (a) -3 (b) 8\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10001011100100000 (base 2) in base 14?\nAnswer: 1c080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 5*q + 11 = 0, 7*q + 20 = 2*o + 3*q. Let x(s) = s**2 + s + 2. Let w be x(-2). Calculate the greatest common factor of o and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -591*f + 593*f - 16 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 58 + (-58 - 2 - 10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 69.7612 rounded to zero decimal places?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 + -1. Suppose 2*f + 0 = v. What is the greatest common factor of 22 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*g - 34*g = 9. Let b(p) = -8*p - g + 10*p + 9*p. Let o(t) = 5*t - 1. What is -2*b(i) + 5*o(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 5*r + 7. Let a be 1\/1 - (-22 + 17). Let b(x) = -3 - 2*x + 0*x + 0*x. Give a*i(j) + 14*b(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h + v - 2*v - 6, -2*h + 8 = v. Let y(g) be the second derivative of 0*g**3 + 1\/12*g**4 + 0*g**h + 0 - 2*g. Factor y(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 88 or 38218?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(-3))**(-18)*t\/t**7*(t*t*(t**(-6)\/t)\/t*t*t*t)\/t)**(-3\/11))**(1\/45) assuming t is positive.\nAnswer: t**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of -1\/6*s**3 - 1\/6*s**4 + 2*s**2 + 1\/120*s**6 + 0 - 1\/12*s**5 + 0*s. List the prime factors of x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 66, 30, 17 in decreasing order.\nAnswer: 66, 30, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/(1 - 3) - (-2 + -21). Suppose 2*m + m = -2*m. Suppose 2*n - 3*r - 46 = -7*r, m = -2*n + 3*r + 39. Calculate the greatest common divisor of n and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 54101 - 54101 + 0*g - 2*g. Let o(k) = 16*k**2. Give o(a(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 - 93\/5*h + 222\/5*h**2 - 3\/5*h**5 + 96\/5*h**3 - 12\/5*h**4 = 0. Calculate h.\nAnswer: -7, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -11*s. Let c(i) = -57*i**2 + 151*i**2 - 2 - 77*i**2 + 2. What is f(c(j))?\nAnswer: -187*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -3*q**3 + 38*q**2 + 13*q - 4. Determine c(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 22 = c, -4*g + 0*g = -2*c - 26. Calculate the lowest common multiple of 8 and g\/(-15) + (-616)\/(-35).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2819344.\nAnswer: 2, 11, 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**2 - 15*m + 22. Let k(s) = -s - 1. Let g(p) = -3*k(p) - v(p). Let f be g(-19). Solve f = -4*b - 21 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 186767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, 26 in descending order.\nAnswer: 26, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of 277*p**4\/12 - p**3\/3 - 187*p**2 + 1070*p. Find the first derivative of k(i) wrt i.\nAnswer: 554*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -104483\/20 + 5226. Calculate the common denominator of u and -17\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1383 + -34?\nAnswer: 134b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 49 = 220*a - 223*a, -a - 2*f - 37 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 41976 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -87*u**3 - 9*u - 8. Calculate the remainder when m(-1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor d**2 - 402*d + 401.\nAnswer: (d - 401)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 108 and 7728?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 + -9.8. Let n = 0.1 + -0.09. What is the nearest to z in 0.4, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12.99 + -13. Let d = -9 + 98\/11. Let t = 8241 + -32965\/4. What is the nearest to f in d, t, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + 2 + 0 + 14. Suppose -2*k + 12474 = 40*k. Is 9 a factor of r\/6*k\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/2)\/j*j**2*j)**(11\/4)\/((j**2\/j)\/j**(-13))**(-7\/2) assuming j is positive.\nAnswer: j**(447\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(152)\/(sqrt(8) + sqrt(8) + sqrt(8)*-1) + -2*sqrt(1216) + 3*(sqrt(228)*2)\/sqrt(12) + (4 + (sqrt(19) - (sqrt(38)\/sqrt(2) + -5))**2)*-3*-4.\nAnswer: -9*sqrt(19) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - k = 6. Let n(r) = 4*r - 2*r**2 - 3 + 3*r**2 - 3*r**k. Suppose -3*o - 20 = -5*q - 5*o, -4*o + 12 = -4*q. Give n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**2\/7 - 14152356*n\/7 + 25036147543842\/7.\nAnswer: 2*(n - 3538089)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-7) - (-1482)\/(-546). Suppose 4*l - l = 0. Suppose 0*i - 2*o + 90 = 3*i, 2*i + o - 61 = l. Put f, i, -2 in decreasing order.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 2*w**3 + 42*w**2 - 46*w - 41. Let u be z(-22). Solve 8 = -5*o + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 10 = -3*r - 0, 4*h = 5*r + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, 5, 909860, -3, 2.\nAnswer: -25, -3, 2, 5, 909860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + 1*sqrt(1539) + 4)*-5)**2.\nAnswer: 1350*sqrt(19) + 38700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 + (33\/1)\/1. Let s(c) = 28*c + 8. Let k be s(4). Let j = k - w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*o + 39750 = -70*o + 2*j, 0 = 3*o + 4*j - 29820. Does 147 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 4*j - 5*u, 3*j - u + 11 = -3. Put 0, -1\/11, j in decreasing order.\nAnswer: 0, -1\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -1 - 7 + 0*u**2 + u**2 - 4*u. Let v be t(7). Suppose 2*q + q + h - v = 0, 5*h = -2*q + 13. Which is the closest to 1\/2? (a) q (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*r = 15*r + 25*r - 684 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 21 divided by -21\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 43, 30, 17, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -2*o + 18. Let x(s) = -s**3 - 2*s**2 + 2*s + 5. Let m be x(-3). Let i be t(m). Find the common denominator of 121\/12 and (i\/7)\/(12\/133).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -2\/13*t**3 - 6\/13*t**2 - 2\/13 - 6\/13*t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s - 7*s**2 + 40*s - 38*s. Let z(h) = 3 - 305*h + 303*h - 3. Calculate i(z(w)).\nAnswer: -28*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 - b**2. Let f be 6 - 2 - (-1)\/(-1). Let w(t) = 3*t**6 + 3*t**3 + 5*t**2. Let y(h) = f*r(h) + w(h). Find the third derivative of y(d) wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 5*i**2 - 3*i - 4. Let h be k(4). Suppose h = -3*u - u - 196. Let g = u - -78. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 144 + -100. Suppose -3*j = -h - 6, -2*h - 2*h - 5*j = -i. Let z(f) = -3*f + 1. Give z(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1469472 and 1680.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -101010 (base 2) in base 11?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 10) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 231 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 + -3 - ((-9 + 37)\/(-4) + 1). Solve -9*a + 4 = -5*a - 5*p, -i*a - 4*p = 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:21 AM and 5:26 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -3*m**2 - m - 1. Let s(v) = 2014*v**3 - 10682*v**2 - 4*v - 4. Let x(g) = -s(g) + 4*w(g). What is the third derivative of x(q) wrt q?\nAnswer: -12084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13059645.\nAnswer: 3, 5, 870643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -473*j**4*q**2 - 413*j**4*q - 622*j**2*q - 44*j*q**2 + 8*q**2 wrt j?\nAnswer: -11352*j*q**2 - 9912*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14491\/6910 - -2\/691. Let w(r) = -3*r - 29. Let m be w(-10). Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -3\/1385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence khgu when four letters picked without replacement from bbhbkbhghbvuhbbhbbb?\nAnswer: 5\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 7092 = -5*k + 12338, -4*o + 25950 = -2*k. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 27\/(-45)*((-36)\/135)\/((-68)\/50). Let a(b) = 6*b**3 - b - 1. Let g be a(-1). What is the biggest value in -1, f, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m**2 - 103190*m - 532408805 = 0. Calculate m.\nAnswer: -10319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 212 and 1956230.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*l - 50*l = -f - 9, 4*l = 2*f - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 84 divide (-4524)\/(-9) - 56\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -96*l + 388. Determine m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6266 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5878638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 16386 = -867*s - 2159*s - 277136 for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 4 (b) 5\/2 (c) -489 (d) -1\/6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*2\/((-70)\/15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*r - 8*r - 14*r)*(0 - 1 + 3)*(-2*r - 23 + 23) to the form t*r + w*r**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-17)\/(-17))\/(-2 - (-397)\/199). Let o be (-27)\/108 + t\/4. Let l = o + 152. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 18*r*w**2 + 210615*r*w + 8221866*w**2 wrt r.\nAnswer: 18*w**2 + 210615*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -31 + 38. Calculate the smallest common multiple of 36 and a.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14424*g + 14424*g - 12*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7494 divided by 2498.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-27 - -29 - (2 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 67.7 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7009 + 7011. What is the smallest value in 5, -14\/327, d?\nAnswer: -14\/327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -962*o - 70 = -948*o. Which is the closest to 0? (a) 3 (b) o (c) -0.29 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 444341441142?\nAnswer: 444341441142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 21762030 rounded to the nearest one hundred thousand?\nAnswer: 21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30008?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5, 37, 95, 191, 337, 545, 827?\n\"Answer: 2*j**3 + j**2 + 15*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the first derivative of 2*u**5\/5 + 37*u**4\/8 + 89*u**3\/6 + 17*u**2 + 6*u - 208. Solve d(x) = 0 for x.\nAnswer: -6, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5.8 + 7.8. Which is the closest to 13? (a) 1\/11 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-5\/11)\/(d**(-2\/3)\/d*d)*(d**(12\/13))**(-33\/5) assuming d is positive.\nAnswer: d**(-12613\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let 5*w**5 + 1810*w**4 + 217400*w**3 + 8776800*w**2 + 15016320*w - 66908160 = 0. What is w?\nAnswer: -132, -96, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2553291017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -8*v + 347. Calculate r(45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 20110 (base 6) to base 8.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6115 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 71199 - 23360. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 8 = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7752)\/5984)\/(-57)*(-16)\/6.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 PM and 10:55 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(315) + -1*sqrt(315))*-6)\/sqrt(7))\/(sqrt(1296) + -2*sqrt(1296)*6 + sqrt(1296)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 5*d**3 + d**2 + d. Let c(f) = 150*f**3 - 3*f**2 - 2*f. Determine c(z) + 3*m(z).\nAnswer: 165*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 127 (c) -8\/157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of (-1 + 4 - 5) + 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -v + 4. Let f = -0.071 - -0.571. Which is the closest to 3\/2? (a) f (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a*a\/a**(-1\/6))\/a)\/a*a*a\/(a*a**(-1\/8))*(a*a**(5\/2)*a)\/a**(6\/5) assuming a is positive.\nAnswer: a**(671\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1351892429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from {l: 4, b: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 65, 64, 63, 62, 61, 60?\n\"Answer: -u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*a, -2*a = 2*x + a. Let f be 43\/4 - 1\/(-4). Let b = 23 - f. Calculate the greatest common factor of b and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-3)\/2)\/(-1))\/((-309)\/(-2060)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 29742, 59476, 89210, 118944?\n\"Answer: 29734*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 19? (a) -4 (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of -19*d**8\/168 - 49*d**4\/4 + 80*d**2 + 1. Find the second derivative of c(t) wrt t.\nAnswer: -760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (29 + -5)*6*1. Suppose 3*x - z = 5*v, 4*v - 144 = -3*x + 3*v. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r**5 + 46372*r**4 - 324686*r**3 + 371120*r**2 + 742176*r = 0.\nAnswer: -23193, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the difference between 29533 and 0.3?\nAnswer: 29532.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 460812666 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -5, -27, -77, -167, -309, -515?\n\"Answer: -2*j**3 - 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 2*t - 16 = -8, 0 = 4*z - 5*t - 26. Let a = -4 - -7. Suppose -c - 2*c - 21 = -a*y, -5*y = -c - 15. Solve -y*q - 4 = z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjhhjjjhhjh.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24352 - 22990. Calculate the remainder when r is divided by 271.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12318 is divided by 1231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 70*o + 61*o - 118*o = 273 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) 0.4 (c) -0.2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 30 + -3.86933.\nAnswer: 26.13067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, 3, -1025 in increasing order.\nAnswer: -1025, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*i - 15 - 9 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add -0.4 and 67633635888.\nAnswer: 67633635887.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 AM and 11:40 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/((-8)\/4)*2\/2. Let c = 5 + z. What is the greatest common divisor of c and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 210\/(-175)*-5*16.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**3 + 17*z**2 + z - 23. Give r(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 - -1) + (-4)\/(-1). Let f(t) = y*t - t**3 + t**2 + 1 - 6*t - 7*t**3. Determine f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 - -2. Suppose 2*r + 8 = -f*r. Does 13 divide (r\/(-6))\/((-4)\/(-78))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4033, -5358, -6683, -8008, -9333, -10658?\nAnswer: -11983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2476108, 2476107, 2476106, 2476105, 2476104?\n\"Answer: -t + 2476109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 35*h + 2. Let x(b) = -25*b**2. Give a(x(v)).\nAnswer: -875*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 61352249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 3, -120 in increasing order.\nAnswer: -120, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5904 and 19683.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 + 3*d + 7. Let o be z(4). Let f = -32 + o. Suppose f*t = 15 - 0. Solve -t*p - 4*w + 7 = -3, 4 = 2*p - 5*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 8.3 + 25.2.\nAnswer: 33.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a*a**19*a)\/a*a**11)**(-3\/17))**1 assuming a is positive.\nAnswer: a**(-96\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 4 + 14, 33 = 5*m - 4*q. Suppose k = -3*u + 56, 411*k - 410*k - 116 = -13*u. Sort k, -2, m in increasing order.\nAnswer: -2, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, 45, 89, 133, 177, 221?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -2*l**3\/7 - 30*l**2\/7 - 96*l\/7 - 88\/7 = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s + 11. Let i(y) = 25*y**2 - 6*y - 4. What is the remainder when i(-2) is divided by p(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mvmmvvvumvv. What is prob of picking 1 u, 1 m, and 1 v?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 4 = 4*d, -39 + 37 = 2*d + c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6571 - -6575. Which is the second biggest value? (a) u (b) -0.05 (c) -1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 74 by 2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1271 and 74210.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10023 (base 4) to base 5\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 12 - 3 - (61 + 3 + (-115 - -92))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 7*q**2 - 18754*q + 75030. Calculate t(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20509 + -20506.3861. Round u to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of -1 + 24*h**2 - 1\/12*h**5 - 1\/120*h**6 - 1\/2*h**3 + 0*h - 7\/24*h**4. Factor s(p).\nAnswer: -(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 49 and 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x**2 - 41*x + 362. Calculate i(10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 59, -1, 104?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the second derivative of h**6\/10 - 3*h**5\/10 - h**4 + h**3 + 9*h**2\/2 + 5*h. Factor a(o).\nAnswer: 3*(o - 3)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = 4*n + 5, n + 4*s = -2*n - 4. Solve -2*g - b = -5*g - 10, 3*g - 5*b + 14 = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 10*n**2. Let h(l) = 388462*l**2. Give h(t(o)).\nAnswer: 38846200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 4*q - 14. Suppose 5*o + 41 = i, 38 = 3*i - 3*o + 5*o. Calculate the remainder when y(15) is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -9*u + 27. What is k(-3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + g + 20 = 0, 0 = 2*c - 5*g + 16. Suppose -2*o + 2*a - 14 = -36, -c*o = -4*a - 14. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 4)*(-1 + 5 + 3)*(5 - 2 - 1)*(-v - 5*v + v)*(-v + 1 - 1).\nAnswer: 140*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 1348*w**2 - 5380*w - 5. Calculate x(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -0*q + q - 20, 0 = 2*q - 4. Let r(h) = h**3 - 5*h**2 - 5*h + 6. Determine r(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30264 + 1650. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 + 9. Let a(h) = -h**2 - 7*h + 1. Let v = 32 - 23. Calculate the smallest common multiple of a(r) and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*((z**(-3\/5)\/z)\/z)\/z))**(1\/72))**(3\/52))**(5\/18) assuming z is positive.\nAnswer: z**(1\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 11:55 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = 4*j + 6, -4*r - 14 = -j + 3*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 0) + (-5 - (-6 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 146 divide -1 - -1728 - 430\/(-86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1257502, -1257501, -1257500, -1257499?\nAnswer: -1257498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -232*s + 233*s - 23628 = -q, -3*q + 70902 = -3*s. What are the prime factors of q?\nAnswer: 3, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8 or -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 4 + -1 + 10\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -84445 or -84446?\nAnswer: -84445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 - 17*a**2 - 9*a + 13. Let l(b) = -102*b + 3*b**2 - 3 + 205*b - 101*b + b**2. Determine 9*l(s) + 2*n(s).\nAnswer: -2*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u + 909*u**2 - 908*u**2 + 3*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 AM and 1:08 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20195652 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 218974 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 178560871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 295883 is divided by 279.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**2 + 1. Let z(o) = -2*o**2 + o + 5. Let g(r) = -4*p(r) + z(r). Let k(i) = -i. What is g(w) + k(w)?\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 27614.1l to millilitres.\nAnswer: 27614100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 142160731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1a182c - -5?\nAnswer: -1a1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r**4 + 0*r**4 + r**4 + (-r + r**3 + r)*(r + 2*r - 2*r) - 2*r**4 + 3 - 3 + 0*r**2 - r**4 + 0*r**2)*(-19 + 4 + 3).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.068? (a) 2 (b) -0.3 (c) 0.3 (d) 161.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1 - -0.1. Let k = 0.4 + -0.5. Let a = k + 0.5. Sort 1\/4, a, q in increasing order.\nAnswer: q, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5 + 9)*(-6*j**3 - 2*j**3 + 29*j**3 + (-3 + 3 + 2*j)*(-2*j**2 - 2*j**2 + 2*j**2) - 1 - 2*j**3 + 1).\nAnswer: 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 + 3 - 3)*2. Let d = -6 + 2. Let x be d\/(-14) - l\/(-7). Solve x*b = -4*r + 4*b + 12, b = -4*r + 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23261278567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2.74 (b) 4 (c) 0.1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/2 and (2781\/162)\/((-20)\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 815, 805, 781, 737, 667?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 89069 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/((-10)\/(-35)*(-7)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1044 and -496.\nAnswer: -517824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2390715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 31 = 9*l + 22*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*g - 6*g + 3*g + (-2 - 1 + 1)*(-18 + 11*g + 18) to o + j*g and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - (3 + -1 - (-10 + 17)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 - 3927*q - 23579. Determine j(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - sqrt(21)\/sqrt(3)*-5)**2 + 0)*6.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 305 (base 6) to base 2\nAnswer: 1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 23556688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 28188923 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 79939601426907\/913 + -87557056694. Let l = 9491 - o. Let g = 50203\/5478 - l. Find the common denominator of -35\/27 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2108 and 19716?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*i**3 + 43 - 43.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1617853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 26.91022cm in nanometers?\nAnswer: 269102200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 500009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 14498 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 5*g = -3*n - 2, 5*n - 5*g + 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27517985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -147 - -152. Let v(j) = -17*j + 4. Let f be v(-3). Calculate the highest common factor of f and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 10 = 4*w. Suppose 3*s + 5 = -t - 24, t - s = -9. Let m = t + 67\/5. Which is the nearest to 1? (a) m (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (18 - -1)*(5 - 6). Let r = 117 + k. Let z = r + -1664\/17. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 228666376.\nAnswer: 2, 28583297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 5*c - 12 = -c, 4*c + 7 = -p. Suppose 5*a - 77 = -4*d, -5*a = 2*d - 4*d + p. Suppose -4*y + 23 = 5*r, -3*r - 4 = -d. Solve -y*j + 11 - 3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 134 - 113. Let a = z + -20.1. Let v = a - 0.90046. What is v rounded to five decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 13, -105, 4, -3, 5 in increasing order.\nAnswer: -105, -5, -3, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 110 + -123 + 27 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13942?\nAnswer: 2, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be 7\/5 - 2\/5. Let z(v) = 8*v**3 - 6*v**2 + v - 4. Let c(m) = -15*m**3 + 11*m**2 - 2*m + 7. Let a(k) = 4*c(k) + 7*z(k). What is a(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-11\/3)*w*w\/(w\/(w*w*w\/(w**(-12\/7)*w*w)*w*w*w)) assuming w is positive.\nAnswer: w**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -t = -2*o, -5*t - o = -14 - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 5*m + m + 5 - 10*m**2 + 3*m + m**3. Let y be h(9). Suppose -8 = -y*t + 27. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.116 - 0.116176. Round q to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 25*i**3 - 5*i**4 - 10*i + 67 - 15*i + 35*i**2 - 37 - 60.\nAnswer: -5*(i - 6)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*y + 37. Let c = y - -23. Solve c = -3*w - 3*x, 4*w - 12 + 31 = -3*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3445 (base 7) in base 13?\nAnswer: 75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 13054369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 4 - 2)*(2*w - 2*w - w) + 5*w + 0*w - 3*w - 3*w - 2*w + 4*w + (-1 + 2 + 0)*(0*w + 0*w - 2*w) as v*w + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**2\/k))**6\/(k**(-2))**(-2\/31)*((k\/k**(1\/8))**(-29))**(-1\/7) assuming k is positive.\nAnswer: k**(867\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, c: 2, m: 4, j: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, o: 3, w: 3, j: 2, r: 3, z: 3}. What is prob of sequence zz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s + 25 = -4*f - s, 2*f - s + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*f*n**4*r - 32416*f*n**4 - 5*f*n*r - 1162*f*r - 2*n**4 - 2*n**2*r - 3*n*r + r wrt n?\nAnswer: -48*f*n*r - 777984*f*n - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/3 + 22\/(-6). Let n(z) = z**3 + 4*z**2 + 3. Let m be n(-4). Put m, -3, g in ascending order.\nAnswer: g, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 119924840070 to the nearest one million.\nAnswer: 119925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1586083939.\nAnswer: 11, 43, 3353243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 3*j - 21 = 0. Which is smaller: -8 or j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1724.221 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -88*w + 2523. Give z(32).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + m = -40. Suppose -15*d = -m*d + 40. What is the remainder when 17 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 191103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 0*c - 3*c + 2*c**2 + 3*c - 6*c**6 wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36*-2*(-2)\/10*19755\/7902?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p, 1 y, and 1 d when four letters picked without replacement from {v: 1, w: 1, p: 2, d: 1, y: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.073? (a) 2 (b) 73 (c) 4 (d) -2 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 3*j + 3. Let v(s) = -6*s - 31. Let d(o) = -v(o) - 4*x(o). Let n(g) = 0 - 4*g + 9 + 4. Determine 5*d(b) - 7*n(b).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.238 - 2.438. What is the nearest to x in -3\/8, -1\/8, -7\/18, -7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24727 is divided by 194.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of g**4 + 146*g**3\/3 + 292*g**2 + 256*g - 1784. Suppose s(u) = 0. What is u?\nAnswer: -32, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 18\/(4 + 5\/(-2)). Let n be 0 + 13\/(26\/c). Calculate the remainder when 43 is divided by n\/(-10) + 174\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 88 and 1424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*p + 2*p - 6*p)*(-p - 2*p + 2*p)*(62491 + 12*p - 9362*p**2 - 12*p - 62491) to d*p + q*p**2 + u*p**3 + m + l*p**4 and give l.\nAnswer: -9362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*d - 50*d + 110 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(1300)*2 + sqrt(104)\/sqrt(72) + (-1*sqrt(143) - sqrt(143))\/sqrt(11) + 2.\nAnswer: 55*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 2*i)*(34*i - 13*i + 12*i).\nAnswer: 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 279 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2784042643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Calculate 2706624 divided by 7104.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -50 - -50. Let y(o) = o**3 - 2*o**2 + 4*o - 1. Let w(l) = 3*l**3 - 9*l**2 + 15*l + 4. Let g(p) = -w(p) + 4*y(p). Determine g(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 989, 1976, 2963, 3950, 4937?\n\"Answer: 987*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-6)\/12)\/((-2)\/4). Suppose -2*v + 19 = 3*f, -4*f + 16 = v - t. Find the common denominator of v\/(-60)*31*2 and 37\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 10 = 2*h. Let n(s) = s**2 + 2*s - 7. Let l(c) = c**2 + c - 4. Determine h*l(o) + 4*n(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (36\/57)\/((-5667)\/(-466583))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (7 + -3 - -7 - (6 - -20)) + (-20 - -12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 26, -1, 5, 2, 42.\nAnswer: -3, -1, 2, 5, 26, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12431545.\nAnswer: 5, 7, 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 12*i + 219. What is the remainder when d(-5) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4506 and 12016?\nAnswer: 36048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, 0.1, 2123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 - 1 + 2)*(-2 + 2 - 2*o) + 3*o + 3*o - 2*o)*(-o + 3*o - 4*o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -4*i**2 - 9. Let g(n) = 15*n. Give a(g(k)).\nAnswer: -900*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -35475*v**5 - 26*v**4 - 19*v**3 + 333549*v**2 + 141 wrt v?\nAnswer: -2128500*v**2 - 624*v - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 63578 and 1826?\nAnswer: 699358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (156\/15)\/(3\/(-75)). Let y = i + 266. Solve -4*q - 14 = y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, 3, -4, -0.4, -13149, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -32 + 43. Solve 0 = 4*c + 3*b - d, 4*c + 3 = -5*b + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3*s**3 + s**2 - 3*s + 1. Let v be o(1). Suppose 0 = -v*m + 3*k + 39, -2*m - 3*k + 15 = 6. What is the smallest common multiple of m and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yvcckkvjkycckyi. What is prob of picking 1 v and 3 k?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -414*s**4 - 2*s**3 + 868*s**4 + 1 + 3*s**2 - 452*s**4 + 2*s to y + k*s**4 + c*s**3 + t*s**2 + w*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2210 (base 3) to base 4\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4231 - -8658. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 156 a factor of 7055412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 598 and 2691?\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000932304 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1092369*o*q + 5238*o - 114 wrt q?\nAnswer: -1092369*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes before 9:29 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 248519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (41\/((-29274)\/136))\/(50\/35).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -6*k**2 - 5*k + 7. Let l(s) be the third derivative of s**5\/60 + s**4\/24 - s**3\/6 - 2*s**2. Determine -g(d) - 5*l(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 50*p + 15. Let u(g) = -7*g - 2. Determine -30*u(i) - 4*w(i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 76762 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 3*w**2 + 60*w + 283. Determine d(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r**2 + 5375*r - 5368. Give w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*z = 25*z - 2725. Let x = -473 + z. What is the lowest common multiple of 84 and x?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - 5*f**2 + 4*f + 4. Let r be n(4). Let o(p) = p**3 - 43*p**2 - 138*p + 4. Let j be o(46). Solve 0 = 2*m + j, -2 = -2*v - r*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 14 + 32 = 0. Let b = 8 + o. Suppose 0 = -4*j + 4*u + 4 + 8, -4*j - 4*u - 28 = 0. Sort b, j, -5 in ascending order.\nAnswer: -5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o - 12. Let c be p(-9). Let s be 1*3\/c*-3. Put 0, 5, s in descending order.\nAnswer: 5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 1447241.85 milliseconds?\nAnswer: 0.016750484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 10*p**2 - 22*p - 2. Let v(w) = 5*w - 1. Calculate the least common multiple of q(6) and v(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 36200 by 181.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 0 + sqrt(80) - sqrt(80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 17*c = -1444. Calculate the remainder when (-54)\/(-135) + (-1498)\/(-5) is divided by c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/106212 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 - 718*l - 21873. Give y(-29).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-6)*2)\/(4\/12). Suppose -2*m + 23 = -3*j, -5*m - 3*j = n - 28. Is (m + -1 + -1)*(401 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7286331 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/3)\/(2\/(-63)). Let u = 23 - a. Solve -u - 7 = 3*g, 4*f - 23 = g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**3 - 3*n**3 + 2*n**3)*(-6*n + 5*n - 3*n**2 + 4*n**2).\nAnswer: -3*n**5 + 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2528 - 484 = -502*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v**4\/17 - 1384*v**3 + 23590*v**2\/17 + 705900*v\/17 = 0. Calculate v.\nAnswer: -11765, -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -5*709314\nAnswer: -3546570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 378761.6647 to the nearest 10.\nAnswer: 378760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -12c - c?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of b*i*z**2 - b*i + 2*b*z**2 + b*z + b - 1009*i*z**2 + 7*i*z - i wrt z?\nAnswer: 2*b*i + 4*b - 2018*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.2 + -5.8. Let u = l + 5. Let y be ((-1)\/6)\/(7\/56). What is the second smallest value in 0.1, u, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.26*4214.136\nAnswer: 1095.67536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 266038639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from gfkmkekfikeikek?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-22)\/6 + 12\/18. Let z be (-64)\/(-33) + (-21)\/77. Put 0.3, z, 1\/3, r in decreasing order.\nAnswer: z, 1\/3, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Express 43 - 41*r - 86 + 40 as s + x*r and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*t - 15 = -5*t. What is the remainder when 23 is divided by (7 - -3) + -7 - (-3)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 4*r - 9*r + 7, 0 = -4*r + 3*b - 13. Let g be 19\/(-76)*8*r. Let z(n) = -7*n**2 + 2*n. Determine z(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1572934 and 26980.\nAnswer: 15729340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 1000000?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 50f6ff (base 16) in base 8?\nAnswer: 24173377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -40630 * 80.9.\nAnswer: -3286967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/4 and -49\/799016?\nAnswer: 799016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:09 AM and 1:26 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 3*y + y)*(5*y**3 + 9 - 9) - 3*y**4 + 2*y**4 + 3*y**4 + (2*y - y**2 - 2*y)*(4*y**2 - 5*y**2 + 0*y**2).\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 130579 is divided by 1655?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 66588639493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from euuu. Give prob of picking 1 u and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - 106 = 3299*l - 3295*l, -g + 11*l + 76 = -209 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*w + 6*w = 8*w, 4*p - w - 39 + 59 = w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16054 - 75585. What is the hundreds digit of -3*2\/3*o\/118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -13544045 divided by -3\nAnswer: 13544045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2*1)\/((-4 - -7)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153) - ((sqrt(153)*2)**2 + 3) - (sqrt(153) + -1 + 3)**2.\nAnswer: -772 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1\/989 + -84051\/13846. Let p = 15529\/16 - 971. What is the common denominator of p and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -3*v**2 + 0*v**5 + 0*v**4 + 0 + 1\/60*v**6 + 0*v - 3\/2*v**3. Find the first derivative of y(n) wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -127 = -2*s - 43. What is the remainder when s is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 9.752205 decades?\nAnswer: 0.9752205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**2 - 12*u + 33. Let m be s(-17). Let l = m - -55. Factor 0*i + 8\/3 - 2*i**2 - 2\/3*i**l.\nAnswer: -2*(i - 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(1\/3))**(-12))**(-1\/25) assuming b is positive.\nAnswer: b**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from {a: 7, f: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 - -101003.63.\nAnswer: 101003.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1784*x - 1784*x + 123*x**3.\nAnswer: 123*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, t: 2}. Give prob of sequence ut.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of a**5\/10 + 185*a**4\/12 + 226*a**3\/3 + 90*a**2 - 1659*a. Factor p(q).\nAnswer: (q + 2)*(q + 90)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -35*l + 11124442 - 801437. Find the second derivative of l + 242*x - x**4 + 19*x**3 - 294943 wrt x.\nAnswer: -12*x**2 + 114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8651686 and 276834.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4817867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 20, 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of b**5*x + 194*b**3*x - 221*b**2*x - 20*b*x wrt b.\nAnswer: 60*b**2*x + 1164*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 + 0*s**2 - s**3)*(845*s**2 - 3818*s**2 - 3619*s**2).\nAnswer: 6592*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.14 + -8.14. Let z = -27 - u. Let a = z - -19. Sort a, -1, -2.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -17*r + 145 + 2*r**3 - r**4 - 143 + 19*r + 18*r**2 as b + c*r**3 + n*r + p*r**4 + m*r**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 135042 and 10778?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**2. Let v(o) = -2*o**2. Let y(r) = 4*v(r) - 7*w(r). Let u(f) = 4*f**2 + 2*f + 2. What is -u(i) - 6*y(i)?\nAnswer: 2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/3 + -1)*(26 + -1004). Which is bigger: v or 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*y**2 - 2*y**2 + y**2 + 9 to b*y + m*y**2 + h and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/((f\/(f*f*f**(-28)*f*f))\/f))\/f)\/f*(f**(1\/4)*f*f)\/f)\/(f**(-25)*f**(-2\/23)) assuming f is positive.\nAnswer: f**(123\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -737556 minus 166.9?\nAnswer: -737722.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3\/4, 37, 0.4, 14 in increasing order.\nAnswer: 0.4, 3\/4, 4, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 312310.8 to the nearest 100.\nAnswer: 312300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 2:42 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 149*l**2 + 3*l - 7 - 10*l - 34523*l**2 - 1. Let c be t(8). Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 + 29. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - (3 - (-6 + 28))) + -53.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 + 2*r**2 + 2*r + 4. Let n be m(-2). Solve n*j - 4 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*i*w**4 + 6*i*w**2 + 5*i*w + 401*i - 41490*w**4 - 7*w**3 + 64*w**2 wrt w?\nAnswer: 216*i*w - 995760*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -4827 and -0.4?\nAnswer: 4826.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -10441216 (base 7) to base 16.\nAnswer: -dbedd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r + 2*r + r + (-3*r + 2*r + 3*r)*(-2 + 1 - 1))*(r + 2 - 2 + (-2 + r + 2)*(-1 + 1 - 2)) to the form x*r**2 + y*r + t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43302.\nAnswer: 2, 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, c: 2, o: 2, e: 6, b: 6}. Give prob of sequence ococ.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26573 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -176958, -353912, -530864, -707814, -884762, -1061708, -1238652?\n\"Answer: n**2 - 176957*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 6:56 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zqcpcccqc. What is prob of sequence qc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 + 10*s - 8. Let r(h) = 9*h. Let a be r(1). Let l be q(a). Solve -2*y + 3 - l = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -379503.4 and -7.\nAnswer: 2656523.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -448*c + 458*c - 91510 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 + 19 = 2*s. Let m(f) = -50*f + 251. Let h be m(5). Suppose 3*a + 21 = 5*n, -s = -5*n + a + h. Solve 1 = -g - n*g - 3*v, 22 = -3*g + 2*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7424.148 centimeters to meters.\nAnswer: 74.24148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3701? (a) 3 (b) 1\/7 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 0.066, 5, -2\/1373, -2.17?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of -l**7\/7560 + l**6\/1080 - l**5\/360 + l**4\/24 - l**2. Let h(j) be the second derivative of t(j). Find s such that h(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 2*z - 3. Let f be i(10). Solve 4*a - f = -0*h + 3*h, 3*h - 8 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1\/15212 + 29391\/15713996. Let r = -2172\/54749 + m. Let l(s) = s - 1. Let p be l(0). Which is bigger: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 156, 154, 150, 144?\n\"Answer: -w**2 + w + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 56\/99 and 5\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.27, -3, -2\/221, 16?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -9889 + -4?\nAnswer: -9893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (23 + -15 - 4) + 0 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = -0*x - 3*x. Let d = -9 + x. Suppose 2*v + d = -v. Put v, 2, -1 in ascending order.\nAnswer: v, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q**3 + q**2 - q**2 - 2 + (64*q**2 - 219*q + 219*q)*(q - 2*q + 0*q).\nAnswer: -67*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 7. Let r be (-1)\/(z + 100\/(-48)). Solve -1 + 9 = 4*h, 4*h + r = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 385472957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-170)\/(-425) - (-3)\/(-5)*-76. Solve f = -7*k + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/(-14) + (-371)\/(-49). Suppose 3*k = -2*t, 0*t + 4*t + 2*k = b. What is the second biggest value in 1\/6, 0, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from {w: 1, x: 2, t: 1, l: 1, b: 2, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10463421*l**2 + 9*l**3 - 8*l**3 - 10463421*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(-1\/5)\/j)\/j*j)**(5\/3))**(-16\/7) assuming j is positive.\nAnswer: j**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of -3*m**5\/20 + 29*m**4\/6 + 5*m**2\/2 - 2*m - 19. Let o(b) = 4*b**3 - 88*b**2 - 8. Let z(s) = 8*c(s) + 5*o(s). Factor z(r).\nAnswer: -4*r**2*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.1 - 0.1. Let d = 0.35 - 2.25. Let s = d + 2. Which is the third smallest value? (a) v (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 640 - 643. Is -0.95 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 620 - 618. Suppose 2205 = 2*u - 3*c, -k*u + 1009 = 5*c - 1204. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 4233*y. Let v(a) = 11*a**2. Determine m(v(q)).\nAnswer: 46563*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - j - 2\/3*j**2 + 1\/3*j**3.\nAnswer: j*(j - 3)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000174443 to 7 dps.\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 18*s - 12*s - 3*k + 19, -s - k - 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 10, 11, 12, 13?\n\"Answer: b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 18986\/38411 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**3 + 6*x**2 - 18*x - 1. Let w be r(-8). Suppose 3*a + w = 8*a. Suppose 5*q - a*q - 218 = 0. 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 the value of (40*(-2)\/(-320))\/(6\/(-12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.04 + 0.26. Suppose 0 = -n - 3*g + 21, -g + 5 = -0*g. Suppose -3*c = -2*i - n*c + 12, 2*i - 2*c = -8. What is the nearest to i in -0.1, r, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8040*l**2 - 3 - 16078*l**2 + 3 + 8036*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78940?\nAnswer: 2, 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 575 - 806. Let v be l\/(-66)*6\/14. Which is the third smallest value? (a) 2 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3\/10, 1\/144, 6651?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**2\/((j*j*j**(-2\/3))\/j)*j\/j**(-4)*j**(1\/7))\/(j\/j**(3\/4)*j*j*j\/((j\/j**(-3))\/j)*(j*j**1)\/j**5) assuming j is positive.\nAnswer: j**(803\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (131 - 60 - 87) + 37 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 280.6 * 0.1\nAnswer: 28.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2124 divided by 2124?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -56*69\/(-1449)*(-2)\/(-200)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -126c69a (base 14) to base 13.\nAnswer: -1ab7397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 4*o**3 - 3*o**2 + 2*o - 1. Let j = -74 + 67. Let g = 10 + j. Suppose -8 = -g*w + k, -2*k + 4 = 3*w + w. Calculate q(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 7*w**2 + w + 2. Let y(p) = 13*p**2 + 3*p + 4. Give -11*m(n) + 6*y(n).\nAnswer: n**2 + 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -3*p**2. Let r(q) = 19*q. Let l(a) = 11*a. Let w(s) = -7*l(s) + 4*r(s). Determine x(w(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 + 4*k + 7. Let y be s(5). Let z(v) = -y*v + v - v. Let q(m) = -3*m - 2*m + 3*m. Give q(z(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 879 - 13*j - 879 - 14*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 11 = 2*i + h, 0 = 5*i - 5*h - 95. Let l = -11 + i. Let y be l - (3 + 0) - -2. Solve u = 4*u - 4*b - 11, y*u = 2*b + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of -1\/6*d**4 - 1\/60*d**5 + 12*d**2 + 0*d - 1\/3*d**3 + 0. Let z(w) = -w**3 - 4*w**2 + 5*w - 5. Let x be z(-5). Calculate s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -9. Sort t, -2, -4 in descending order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-650)\/95 + 12\/(-108)*-63?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) -23 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 742 - 14839\/20. Let z(m) be the third derivative of 3\/20*m**5 + 0*m - 3\/8*m**4 - m**3 + i*m**6 - 7*m**2 + 0. Find d such that z(d) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = m - 4*m. Let j = m + 18. Calculate the highest common divisor of j and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 727 and -86357955.6.\nAnswer: -86357228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*s**5 - s**4*x + 6*s*x + 12*s wrt s?\nAnswer: 80*s**3 - 12*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 74439310349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 576, 1142, 1708, 2274?\n\"Answer: 566*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 + 9*d**2 + 3*d + 30. Let i(x) = x**2 - 23*x + 13. Let u be i(22). Let g be n(u). Solve g*y - 7 + 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -61044, 0.02, -0.1 in descending order.\nAnswer: 0.02, -0.1, -61044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -9*f + 2*a, -769*f + 770*f - 3*a + 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 605829893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10625, 21198, 31775, 42356, 52941?\nAnswer: 63530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1014*o**2 - 39*o + 2045*o**2 - 1014*o**2 + 3*o**3 to b*o**3 + d*o**2 + f + q*o and give q.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1015 and 3915?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 0 + 8 = 0. Is 14 a factor of ((-2)\/1)\/c*43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 6*n + 4. Calculate w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 - (1 - -13) - (-242 + 241)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6134 - 6129. Sort 3, z, 13, -2\/11, -0.5 in decreasing order.\nAnswer: 13, z, 3, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-1\/10)\/u**(1\/9))\/(u**(2\/3)*u**5))\/(u**(-2)\/u**(-1\/5)*u**5\/u*u\/(u\/(u\/u**(-6)))) assuming u is positive.\nAnswer: u**(-1357\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 40 + -200. Let r = -136 - z. What is the least common multiple of r and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -8*g + g**2 - 21 - 6*g + 3*g. Let a be x(13). Factor -7*i**2 + 17*i**2 - 5*i**3 + 5*i**5 - a*i**4 - 5*i**2.\nAnswer: 5*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30615947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**1\/(u*((u*u**(-4)\/u)\/u)\/u*u))\/(u**1*u\/u**4)*(u**(-2\/5))**(-24)*(u**(2\/5))**(-19) assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 11 (b) -0.3 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 - 8*s + 32. Calculate j(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236973 is divided by 265?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of 113*o**3\/2 - 587*o. Let u(z) = 4*z. Calculate m(u(n)).\nAnswer: 1356*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3027 + 3028. Put -0.5, -0.16, -1\/4, -9, c in increasing order.\nAnswer: -9, -0.5, -1\/4, -0.16, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121655115 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000160746 rounded to 6 dps?\nAnswer: -0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 9 = -3*a - 4*h, 4*a - 21 = -h. Suppose 6*z - 23 = -5. What is the highest common divisor of a and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 3399*k**3 + k + 2. Let r(o) = 16995*o**3 + 5*o + 11. Let c(g) = -2*r(g) + 11*w(g). Let h = 2 - 1. Let a be c(h). Round a to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 24*q + 30*q**2 + 38*q**3 + 1 + 29*q**3 - 3 - 79*q**3. Let f(t) = 24*t**3 - 61*t**2 - 48*t + 5. Let p(o) = 5*a(o) + 2*f(o). Factor p(d).\nAnswer: -4*d*(d - 3)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 25 + -25. Suppose 2*g - 7*g - 60 = y. Let f = g - -38. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22655762 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be 7 + (-42000340)\/50 - (-1)\/(-5). What is v rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4 - (-4 + 5) - -3) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*o - 3*o + v - 58, -3*v = -4*o + 60. Suppose -o*i + 781 = 5191. Is -244 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/40 and 2200\/448 - 2\/16.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 119 + -110.7. Let u = w - 8.3000053. What is u rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c*j**2*q**2 + 16*c*j*q - c*q + 103*j**2*q**2 - 4*j**2 wrt q?\nAnswer: 4*c*j**2 + 206*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**2. Let p(j) be the third derivative of j**5\/15 - j**4\/12 + 32*j**3 - 1420*j**2. Give p(b(a)).\nAnswer: 16*a**4 - 4*a**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 1745 = g - 1743, g - 8 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45878860 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2.5 + 2. Let w = -9 - -65. Let b = w + -60. What is the third smallest value in a, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33 divided by 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1721 + 370. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19633 + -18121. Calculate the least common multiple of a and 18.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 76*f*g*l**3 + 614*f*g - 52*f*l**3 - 1198*l**3 + 2*l**2 wrt g.\nAnswer: 76*f*l**3 + 614*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes after 6:41 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -23*h + 142. Let x be v(6). Solve -3*g = 4*j + 14, -x*g + 2*j = g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from totxooj. Give prob of sequence ox.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of -6*y**2 - 18*y + 1. Suppose 3*w + 5 = 5*b + 1, 2*w = 5*b + 4. Is 5 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1334610*o**3 - 4330235 wrt o.\nAnswer: 4003830*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -37904?\nAnswer: -5\/37904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b (base 13) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -405 + 623. Suppose 0 = 5*i + 4*w - k, 3*w - 132 = -3*i - 0*w. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**3 - 2*d**2 + 167. Let p be r(0). Let q = p + -98. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4426 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 7*l**2 - 3*l. Let o(r) = 14*r**2 - 5*r. Let d(x) = 5*f(x) - 3*o(x). Let m = 27 + -25. Let h(w) = -5 + w + 3 + m. Give d(h(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of 7*z**4\/24 + 35*z**3\/3 + 10*z**2 + 6. Let j be i(-10). Solve -3*g - 2*g = j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 + -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72)*3 + sqrt(72))\/sqrt(6).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + -8 + 6 + -8 + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10.9 - 3.1. Let c = -9.82 - 0.18. Let k = c - q. What is the closest to -1 in -0.1, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddw when three letters picked without replacement from wwwddwddddwdww?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2206 + -1?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49897 + 120093 = 10*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -2332 (base 5) to base 7\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l**2. Let f(c) = -67*c + 4812 + 172*c - 4814. What is f(x(p))?\nAnswer: 315*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + -333?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1910 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/3 and 625013134 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-14)\/(-1) - -45*(-14)\/63. Sort h, 5, -727 in decreasing order.\nAnswer: 5, h, -727","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -q - 4*q + 968, -3*q + 3*z + 600 = 0. Calculate the remainder when 347 is divided by q.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4330210 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -18446 divided by -67?\nAnswer: 18446\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 5006\nAnswer: -1501.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 296 plus -5054?\nAnswer: -4758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 51*p**2 - 32*p**2 - 3*p + 3*p to the form j + o*p**2 + b*p and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4316*g + 2*b = -4318*g + 37158, -4*g + 4*b + 74372 = 0. List the prime factors of g.\nAnswer: 2, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times 23188\nAnswer: 46376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38622 is divided by 1839.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3104, -5828, -8552, -11276, -14000?\nAnswer: -16724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 - 9. Let s be 2\/6 - 2\/(-3) - 0. Is j less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17687697 is divided by 8843838.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/43 in 4, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 131 + 1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 0.2 (b) -8676 (c) 0.1 (d) 6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -3\/2 (c) 2 (d) 222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 634*f**4 + 662 wrt f?\nAnswer: 2536*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from asavqs.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1390 and -57\/5798246?\nAnswer: 28991230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 18 divided by -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 2 = 0, -3*s - 20 = -4*o + s. Let y(j) be the second derivative of j + 0 - 1\/6*j**4 + 0*j**2 + 0*j**o. Let c(r) = -2*r**2. Calculate c(y(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-8))\/((3\/18)\/((-17)\/51))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1, 0, 1, 2, 3?\n\"Answer: o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13568904 to the nearest integer?\nAnswer: 3684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3\/2)\/((-15)\/35). Let q = -8\/3 - c. What is the third smallest value in -1, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 + -5)*(1 - 1962 - 5). Let p = 165233\/42 - n. Calculate the common denominator of 41\/27 and p.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -551c32 - a2?\nAnswer: -552004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2*1*(1605\/4280)\/((45\/444)\/(-5))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 2 = -7. Let s = 13 + 48. Suppose z = -3*n - 5 + 10, 5*z = -h*n + s. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -5*m - 3*q, 4*m - 4 = -5*q + 5. Solve 2*v - 4*k = 2, 28*v - 25*v = 5*k + m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13*(-1 + -3 + 2600\/676)*(-27)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -202 + 201. Let w(r) = -13*r**2 - 11*r - 11. Let o(x) = -7*x**2 - 6*x - 6. Let m(l) = -11*o(l) + 6*w(l). Let v(n) = -5*n**2. What is g*v(b) + 2*m(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.1005 - 1.3661457\nAnswer: -1.2656457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -27, 205, 15775 in increasing order.\nAnswer: -27, 205, 15775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1188)*-2 - sqrt(1188))*4 + -2*(sqrt(1188) - -3*sqrt(1188)))\/(-4*(4*sqrt(27) + sqrt(75) + (sqrt(75) - (sqrt(75)*-2 + sqrt(75))))).\nAnswer: 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 11, n: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4720599 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5.1 in -597\/2, -2\/13, 11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddeuxdbeeedd. What is prob of sequence ex?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 440591.6mg in kilograms?\nAnswer: 0.4405916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 3*v - 16 = 2, 4*j + 5*v = 6. Let g(r) = r**3 + 5*r**2 - r + 2. Let k(o) = o**3 + 4*o**2 - o + 2. Let i(b) = j*k(b) - 3*g(b). Give i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h - 4. Let m be t(-4). Suppose 4 = f - m. What is the greatest common factor of f and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (11\/44)\/((-33)\/12)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-1*6\/(-28))\/(-15*(-12)\/(-480))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -4*f. Suppose 2*p = -f*p + 6. Let a = 0 + p. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.2, 0.027, 1, 635, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 297809 is divided by 135?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((2*(5*1*sqrt(153) - (1*sqrt(153)*5 - sqrt(153))) + -1)**2 + -5).\nAnswer: -1216 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y - 2. Let s be r(-5). Suppose -3*z + 13 = s*p - z, 11 = -4*p + 3*z. Find the first derivative of b**2 - b**2 + b**2 + p - 2*b**2 wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -86*v + 91*v + 5*q, -5*v + q = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -585 + 1753\/3. Which is the second biggest value? (a) -14 (b) 2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 3*p - p - 2*p + p. Let l(c) = 3*c - 5. Let n(q) = -1. Let f(d) = l(d) - 5*n(d). What is f(r(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 - 5*v + 4. Let u be l(-5). Let p = 6 + 1. Suppose -u*w + p = -i + 23, 30 = 3*i - 3*w. Calculate the lowest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000403422072 rounded to five decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 6*h**2 - 5*h. Let n be o(-5). Suppose n = w - 5*w + 32. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110624147 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: Let a(p) = 6*p**2. Suppose 3*t = 2*t + 5. Suppose t*f - 10 = -0*f. Let q(h) = -h**2 + 2*h**2 + f*h**2 - 4*h**2. Give a(q(k)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*g - 9 + 9 + 6*g.\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/164 and -7\/8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -1167 * -5.0158.\nAnswer: 5853.4386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -5*x**5 + 4*x**4 + 2*x**3 - 7*x**2 - 3. Let p(i) = -i**5 - i**2 - 1. Let u(k) = 2*f(k) - 6*p(k). Find c, given that u(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 2 + (-7 - ((2 - 4) + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -116, -407, -956, -1835, -3116, -4871, -7172?\nAnswer: -10091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 19548, 39489, 59810, 80505, 101568?\n\"Answer: -g**3 + 196*g**2 + 19360*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -9*d**2 + 17*d + 17. Let q = -113 + 164. Suppose -3*y = -9, -y + 9 = -2*m - 2*y. Let v(n) = -n**2 + 2*n + 2. Give m*a(r) + q*v(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**2 + 4*s. Suppose 5*f = 6*f + 9. Let j(t) = 2*t**2 - 4*t. Let p(k) = 9*k**2 - 15*k. Let g(d) = 21*j(d) - 5*p(d). What is f*l(y) - 4*g(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17056, -34472, -51736, -68842, -85784, -102556, -119152, -135566?\nAnswer: -151792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -427\nAnswer: -3\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 351613? (a) -70 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)\/(1*sqrt(9)) + -3)**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6156164.\nAnswer: 2, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 8*x + 45 = 3*x, 3*x = -4*h + 77. Suppose 0 = -2*j - 3*j + h. Sort -2\/3, j, -0.3 in decreasing order.\nAnswer: j, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5825061 to the nearest integer?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 222*l + 3827 = 941 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v**3 - 4*v**3 + 4*v**3 + (-v + 0 + 0)*(0*v + 11*v**2 + 0*v) + (-1 + 1 + 2*v)*(-4*v**2 + 0*v**2 + 5*v**2) + 4*v**3 - 6*v**3 + 0*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*v = -154*v - 2122545 - 2565600. What is v rounded to the nearest 100?\nAnswer: -34700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**2\/7 - 95631*z\/7 + 109320.\nAnswer: -3*(z - 8)*(z + 31885)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 227000230.\nAnswer: 2, 5, 281, 80783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2 - b. Let o be y(0). Let j = 6 + -3. Is o - (1 + -8*j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25407747?\nAnswer: 3, 127, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -11 + (5 - (3 + 14 - 4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.21, 8.6, -5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2758, -11047, -24864, -44209, -69082, -99483, -135412?\nAnswer: -176869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 16b (base 14) to base 9.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 3836.2 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (9 - 21) + 9 + (11 - (-3 + -24))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -49 - -47. What is the common denominator of (42\/(-72))\/(f\/(-10)) and -19\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + 8 + -28*(-22)\/(-88). Solve 0 = -5*x + s - 11, -2*x - 2*s = 3*s - c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 8 = 0, -5*l + 0*z = 4*z + 712. Let o = l + 149. Solve 5 = -o*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53 + (-39 - (-134 + 56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + a + 2*a)*(-2*a + 2 - 2) + (-1 + 1 - a**2)*(10 + 2 - 4).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 535.4993kg?\nAnswer: 535499300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/(-10))\/((-150)\/250)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -403, -409, -417, -427, -439, -453, -469?\n\"Answer: -s**2 - 3*s - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 201, 222, 251, 294, 357?\n\"Answer: d**3 - 2*d**2 + 20*d + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0\/(2 + 3) - 54. Let w be ((-48)\/a)\/(4\/(-102)). Let z = -24 - w. Put 0.3, z, 1, -2\/9 in descending order.\nAnswer: 1, 0.3, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: ae21c (base 16) to base 12\nAnswer: 2a4910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 0 = -3*g + 2, 2 = -5*g + 3*a. Let n = g + 0. Let s = n + 4. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 - 4*q**2 - 90*q + 415. What is z(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1050\/(-252) + (-15)\/18. Suppose 3*h = 4 + 11. Sort h, d, 0 in descending order.\nAnswer: h, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 786192660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6293 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:13 AM and 2:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3664430 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3*1 - 1*(4 + -5). Differentiate 37 + 19*b**4 - l*b**4 + 14*b**4 + 0 with respect to b.\nAnswer: 116*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2787060 and 30936366.\nAnswer: 309363660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(6048) - sqrt(6048))*6)\/(((2*sqrt(150) - sqrt(6)) + sqrt(6))*-1) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 11 - -3b?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -226.3 + 227.3. Which is the nearest to 0? (a) -2 (b) -0.2 (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4988 and 1520351?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34267973?\nAnswer: 34267973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that d**2 - 32650*d + 266505625 = 0.\nAnswer: 16325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*t, 3 = f + 3*t + 4. Let n(w) be the second derivative of w**5\/20 - 2*w**4\/3 + w**3\/6 - 9*w**2\/2 - 35*w. Give n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wbw when three letters picked without replacement from ybywybvyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 82*w**3 + 10*w**5 - 83*w**3 + 14*w**5 + (3*w**4 + w**4 - 3*w**4)*(-4*w + 6*w - 4*w) + 0*w - w**5 + 0*w + 0 + 2*w**5 + 0.\nAnswer: 23*w**5 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 121373 greater than or equal to 121374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 20110000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -2*c**2 - 36*c + 34. List the prime factors of o(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 628756247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + -104 - (-386 - -130)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d - 1. Let u be b(2). Let z = -9522 - -9533. What is the highest common factor of u and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5336102 to the power of 1\/2, to the nearest integer?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5.319997312 - 5.32. Round f to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15390 - 9238. Calculate the remainder when l is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4*r + 1. Let z(i) = -i + 1. Let l(q) = x(q) + 3*z(q). What is the units digit of l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -2371547.\nAnswer: 237154.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -125439, -125481, -125523, -125565?\n\"Answer: -42*a - 125397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7 - -11. Let z be (70\/(-6) - -13)\/((-2)\/6). Let t be (z\/240*-5)\/((-5)\/8). What is the closest to 1 in d, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-g - 3*g + 3*g)*(4 + 0 - 2) + 3*g - 3*g - g + 4 - 5*g - 4 - 8 + 8 - 13*g)*(-2*g**4 + 2*g - 2*g)*(0 - 2 - 2).\nAnswer: -168*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 337 - 221*k**2 - 337 as t*k + y + s*k**2 and give s.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 738 a factor of 3970745194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.002 * -4.3.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 1:26 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9766580 - y + 3*y - 2*y + 9766580 + 7*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 729753.9 litres in millilitres?\nAnswer: 729753900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/21935 and 17\/12.\nAnswer: 263220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from {z: 2, s: 10, i: 6, y: 2}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5584?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 11:16 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 2, 1304, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -12 - 20. Let h be (9\/30)\/(6\/z). Is h <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 2*i**2 - 7*i - 7. Let s be w(6). Find the third derivative of d**6 + 4*d**6 - 23 + s + 2*d**2 wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9473 + 14725. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -33 + 37. Solve 5*d = a - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**3 + 28*y**2 + 12*y - 131. Let z be x(-27). Suppose -41 = -g + 359. Let t = g - z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4 + -2 + -1)\/(-1). Let g = -2 - c. List the prime factors of ((-7)\/(-5) + g)*25.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 4*j**3 + j**2 + 2*j - 3. Let k(b) = 21*b**3 + 5*b**2 + 11*b - 16. Give 11*f(m) - 2*k(m).\nAnswer: 2*m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 + g + 2. Let z(f) = -266*f**2 - 6*f + 241. Let h be (99\/45)\/(-11)*5. Let o(w) = h*z(w) - 6*d(w). What is the derivative of o(b) wrt b?\nAnswer: 544*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -72*q + 38 - 77 + 37 to z + b*q and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -6, 3, -2\/7 in ascending order.\nAnswer: -6, -2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 5*i - 469194, i = 2*u + 3*i - 469182. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2116, 8189, 18306, 32479, 50720, 73041, 99454, 129971?\n\"Answer: 2*l**3 + 2010*l**2 + 29*l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c + 0*c**2 + 10*c - 3*c**2.\nAnswer: -3*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 27*(-2)\/63*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -241235*d*r**2 + d*r + 361*d - 20*r + 7 wrt r.\nAnswer: -482470*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = u - 18. Suppose 2*a = 2*d - u, -5*d + 3*a - 1 + 6 = 0. Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes after 8:30 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the first derivative of 2*a**2 + 6*a + 167. Give o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4839, 7975, 11111?\n\"Answer: 3136*f + 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**2 - 4. Determine t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-36)*4)\/((-1)\/(-15)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n and 1 h when four letters picked without replacement from hnhkhhdhihnhn.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1518 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r**2 + 18*r + 71. Is z(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -85\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*y**2)*(2*y - 6*y + y) - 2*y**3 + 2*y**3 + 2*y**3 + (-1 + 4*y**2 + 1)*(-y + 6*y - 3*y) - 6*y**3 - 9*y**3 + y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 1182.\nAnswer: 2\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 334200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2222022 - -1001200?\nAnswer: 11000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*a + 165 = 179*a - 1039 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 79770384 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + 37. Calculate the smallest common multiple of x and ((-4)\/10)\/(88\/(-3300)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236 is divided by 53?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -3*r**2 - 61092*r - 732672 = 0.\nAnswer: -20352, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + -3. Let n = r + 9. Let w be -3 - -4 - 6\/4. Which is the third smallest value? (a) w (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -191 + 1?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 397901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 49.82 + -54.82. Let l = -62\/3 - -316\/15. Which is the third smallest value? (a) 2\/3 (b) l (c) t (d) 37\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - f + 44 = 0. Let r = f + 25. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 4. Let n be 1 + 0 + -1 + u. Suppose f + 5*t - 6 = 0, -11 = -f + n*t + 11. Solve g + f = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*a - 13*a**3 - 1031 + 2*a**2 - 4*a**4 + 3*a**4 + 1034 to the form n*a**4 + l*a**3 + k*a + r + u*a**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f**2 + 2*f**2 - 3*f**2)*(-3 - 1 + 0)*(-f**2 + 2*f**2 + f**2).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 49*b + 116. What is the tens digit of p(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -12*b**2 + 4*b + 4. Let i(g) = -25*g**2 + 7*g + 9. Suppose 0 = o + 5*o + 42. Let a(v) = o*l(v) + 4*i(v). Find the first derivative of a(y) wrt y.\nAnswer: -32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-11*w**2 + 16*w**2 - w**2 + 3)*(-2*w**2 + 15*w**2 - w + 0*w) to g*w**2 + z*w**4 + r + d*w**3 + c*w and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 27 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 21*v + 1. Suppose 0 = -3*w - 2*m + 22, -2*m = -6*w + v*w + 20. Let s(n) = -n**3 + 5*n**2 + 7*n + 6. Give s(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2532308 is divided by 18614?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6790 and 2.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 984987*c**5\/2 + 117220329*c**4\/2 - 4045917468*c**3 + 56902032732*c**2 + 397369752*c + 693576 = 0.\nAnswer: -171, -2\/573, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*r - 113 + 479 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 13239464 divided by 472838\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -2755 by 29.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is c11c - -433?\nAnswer: c54f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**3 - 15*s**2 + 14*s + 10. Determine f(8).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 2*r + 1 = 3, -5*r + 14 = -4*z. Let c(u) = -49*u + 5. Let d(t) = -103*t + 9. Let p(x) = -5*c(x) + 3*d(x). Does 12 divide p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 919 * -487\nAnswer: -447553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 1, v: 2, o: 4, b: 6}. What is prob of sequence boog?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-33 + 19 + 15 - 70*x)*(-2*x - 3 + 3).\nAnswer: 140*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2, 2\/11, 1.4, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14488568 is divided by 2157.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-8*w**3 + 15*w**3 - 18*w**3)*(-w + 0*w + 0*w)*(348 + 536 - 210) as b*w + i*w**4 + t + d*w**2 + s*w**3 and give i.\nAnswer: 7414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1 - -62 - ((4 - 9 - 1) + (-89 - -91))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70665?\nAnswer: 3, 5, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5*((-10)\/25)\/(-1). Solve -2*m + 2*p - 19 = -p, 19 = -5*m - f*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1573 + 933*u**2 - 1845*u**2 + 908*u**2 to t*u**2 + v*u + w and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -5084.6 rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 5.48204+0.2\nAnswer: 5.68204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/((4\/148)\/(-1)). Let q be w\/14 + (-6)\/21. Suppose -q*z = -2*z. Which is smaller: 1\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 - 2379?\nAnswer: -2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 1626*v + 1. Let b(h) = 95*h + 1. Calculate y(b(z)).\nAnswer: 154470*z + 1627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*z - z - 7 + 9 + 42*z - 129*z.\nAnswer: -146*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.0032 - -0.0032. Which is the third smallest value? (a) h (b) 17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*h, 0 = f + 3*h - 0*h + 1. Suppose -f*r = r - 2*r. Suppose -z - 6*z + 266 = r. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**3 - 6*f**2 + 4*f + 2. Let v be j(5). Let c(o) = -10*o**2 + o**3 + 15*o**2 + 56787*o + 4 - 56782*o. Give c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1071, -2114, -3139, -4140, -5111, -6046?\n\"Answer: w**3 + 3*w**2 - 1059*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 1519 divide 1593386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2146634 to the power of 1\/2, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 AM and 7:24 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 4 = -4*f, 7*h - 4*f = 3*h. Let r = 0.2 + 4.8. Let s = 43 - 43. What is the closest to s in r, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 7255, -517 in decreasing order.\nAnswer: 7255, -2, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, q: 1}. What is prob of picking 3 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1513751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + 5 + -5 - (10 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.086 and 2.\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 2261 by -19.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-30)*18*(-1980)\/4158.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -21*s**2 - 141*s + 140. Give j(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*-137980.\nAnswer: -55192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -73.3 + 71.3. Which is the fourth smallest value? (a) r (b) 191 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-146)\/(-511) - (1 + (-12)\/7). Let l(x) be the second derivative of x**4\/3 + x**2\/2 - 2*x. What is l(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/20*3)\/(-3*1\/(-42))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1756\/3 - 585. Let t = -0.35 + 0.3. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1282 - 1261. Calculate the remainder when 30 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*u**2 - 1710*u + 1296 = 0 for u.\nAnswer: 18\/23, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 + 4\/2)\/2. Suppose 2*g - g = y. Let i = 3 - g. What is the highest common divisor of 18 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/2, -2, -4, 0.4, 3285, 0.1 in decreasing order.\nAnswer: 3285, 5\/2, 0.4, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -5, -6, -37 in decreasing order.\nAnswer: -2, -5, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and -53.3.\nAnswer: -213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1.7941 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 1:25 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 232 and -1.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 5*g = 4, -2*z + 272 = -5*g. Suppose 89 = q + 5*f, -3*q + f + 104 = -z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5*(-3754804)\/(-6258004) - -3. Let w = -172118577543\/21903014 - r. Let f = -7863 - w. What is the common denominator of -7\/4 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (12\/(-45))\/(4\/10). Let x = -283.23 + 278. Let a = x + 1.23. Sort a, q, 0.4 in decreasing order.\nAnswer: 0.4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - 65\/(-5) - (5 + -16)*-2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1167*u + 129 + 164 - 2 + 220.\nAnswer: -1167*u + 511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/5 in 1.6, 4, 2, 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -149, -610, -1369, -2420, -3757, -5374?\nAnswer: -7265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000094 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2502574337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52, -104, -162, -220, -272, -312?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that w**3 + 68*w**2 - 993*w - 77220 = 0.\nAnswer: -65, -36, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 9 = -13. Solve 0 = g*k - 5*x + 20, -x = 4*k - 0*x + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13967766 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.26 * -21430\nAnswer: 5571.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.68618 and -3.\nAnswer: 2.05854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**3 + 24*r**2 + 19*r - 98. Calculate f(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 132 a factor of 222027036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -308 (base 14) to base 8.\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24154 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, o: 2, w: 2, q: 3, u: 6}. Give prob of sequence qq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -54090*j**4 + j**3 - 7545 wrt j.\nAnswer: -216360*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - 4) + 14 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -12191, -321, 58 in decreasing order.\nAnswer: 58, -321, -12191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*n + 57500 - 57500.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 11*h**2 + 27*h + 98. Let u be p(-5). Calculate the greatest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 + 34*f**2 + 5*f - 73. Determine o(35).\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.52825 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4*l + 16 = -2*l, r + 14 = -5*l. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -38, 19\/8, 0, -26, -1 in decreasing order.\nAnswer: 19\/8, 0.3, 0, -1, -26, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -568 - -570. Let h(b) = 2*b**2 + 6*b + 6. Let f be h(-4). Suppose -3*y = z - f. Solve y = -w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 2*g - 4*g + 12, -3*g + 4 = d. Let w = -9 - -9. Suppose w*t = -d*t + 32. What is the remainder when 31 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 38.6 - 45. Let y = s - -8. Let b = -1.49 + y. Is b != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 + 17. Let f be 0 + 12 + 0\/o. Solve -p = -4*p - f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 479419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -5*a + 3. Let w(s) = -4*s + 3. Let z(b) = -6*u(b) + 7*w(b). Let l(x) = 2 - 2*x + 4*x - x. Let d be -4 - (-8 + -4 + 5). Calculate d*z(i) - 4*l(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/70)\/((-30)\/(-70))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 231102003 (base 4) to base 7\nAnswer: 1401513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 38966\/115 != 338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2537, 5059, 7581, 10103, 12625, 15147?\n\"Answer: 2522*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -203711, -203632, -203499, -203312?\nAnswer: -203071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(448)*1 - sqrt(448)) + 2 - sqrt(448) - (-3 + 1 + sqrt(448))) + 4)**2 - (-4 + 1 + sqrt(448)*1 + sqrt(448) + 1))*2.\nAnswer: -544*sqrt(7) + 3716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y - 5. Let j be l(5). Suppose j = -x + 3. What is the greatest common factor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2390175 years in millennia?\nAnswer: 0.0002390175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (7 - 3) - (6 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 50157629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 12599768429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 0.39, -2\/5, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -q - 25. Is (-1347)\/30*q*(1 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-6)*(18\/225)\/(4\/(-15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of s**6\/24 - s**5\/12 - 5*s**4\/24 + 5*s**3\/6 + 11*s**2\/2 + 6*s. Let b(r) be the first derivative of j(r). Factor b(p).\nAnswer: 5*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 532*d**2 - 142*d + 6.\nAnswer: 2*(14*d - 3)*(19*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 - 3\/3*6. Let o = 10 + k. Suppose c = 2*c + 4*b + 14, -o*b = -5*c + 45. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = p**2 + p. Let n(r) = 13*r**3 + 3*r**2 + 1. Let w(y) = -n(y) + o(y). Let q be w(-2). Let k = q + -65. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 705 - 709. Let z = -16 - -21. Which is the closest to -0.2? (a) z (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1246, 1245, 1246, 1249, 1254?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 43 (base 15) in base 14?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = u - 10, -4*c + 2*c + 3*u = 8. Suppose 0 = -2*d + d + 4, 0 = w - d + c. Solve -2\/3*l + 2\/3 + 1\/6*l**w = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-7)\/2*((-15)\/(-21) + -3). Solve a + a + 5*c - q = 0, 5*a - 3 = -4*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k**2 + 2 - 2)*(2*k**3 + 2*k**3 - k**3) + 5*k**3 + 13*k**5 + 94 - 94.\nAnswer: 7*k**5 + 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7991 and 1572?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4 = 3*b - 6, -5 = 2*y - 3*b. Let v = y + -3. Factor -v*m + 4*m**4 - m**4 - 6*m**3 + 6*m**2 - m**4.\nAnswer: 2*m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2599*c - 1304*c + 9980*c**2 - 1295*c to the form i*c + v + f*c**2 and give f.\nAnswer: 9980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve z = -4*k + 11, -10*z - 5*k = -14*z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 211*k. Let y(w) = 106*w. Give -3*t(x) + 5*y(x).\nAnswer: -103*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-20)\/(16 - 36) - (2 - 3\/4). Which is the nearest to i? (a) 2 (b) 0.5 (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:36 AM and 9:35 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7107567 to the power of 1\/2, to the nearest integer?\nAnswer: 2666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u + 3 - 9. Factor 0*p - 2*p**3 - 2*p - 5*p**u + p**2 + 0*p**2.\nAnswer: -2*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30312389 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63 = 4*m - 25. Solve 2*c + m = 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22 + 2*w + 45 + 2.\nAnswer: 2*w + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/51 + 3341\/221. Suppose -3*j - o = 0, 3*j + 191 + 469 = t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*v - 5*q = -4 + 4 - 4, -v - q = -2*q + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-459)\/(-6)*(-2)\/(-3). Suppose 3*p + 0*p - s = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 AM and 5:30 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2*p + 20. What is x(-17)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 127 - 132. Which is the biggest value? (a) 2\/9 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -767\/8 - -90. Calculate the common denominator of 29\/10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1422100130 (base 5) to base 8\nAnswer: -16106662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2528*h**2*v - 2207779*h**2 + 5*h*v**2 + 50*h*v wrt v?\nAnswer: -2528*h**2 + 10*h*v + 50*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10508 + 37955 - 14*a + 11*a.\nAnswer: -3*a + 27447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25907 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 73819364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24345\/4 + 119749\/20. Which is bigger: -99 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the second derivative of p**6\/360 - p**5\/24 + p**4\/12 + p**3\/6 - 2*p. Let d(r) be the second derivative of q(r). Calculate d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -23*j**2 - j - 1. Suppose -185*s = 29*s - 427 - 1. Calculate c(s).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + (sqrt(200)*1 - sqrt(200))))*1)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = -14*n + 15*n - 24, 5*n - l - 120 = 0. Solve n*g - 8 = 22*g, -5*h = -2*g + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + 3*h - 2*h)*(-4 - 3 + 3)*(-2*h + 0 + 0) in the form k*h**2 + u*h + g and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 30, 59, 82, 93, 86, 55?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 263.569 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is a in 6*a**3 + 281*a**2 - 334*a + 96 = 0?\nAnswer: -48, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the first derivative of -b**5\/60 + b**4\/4 + 5*b**3\/6 - b**2 - 2. Let x(c) be the second derivative of j(c). What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 15671815522.5176889 - 15671816288. Let y = 794.48231 + p. Let i = -29 + y. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from dujd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/(-2))\/((-6)\/(-36)). Suppose f - 2*l = 65 - 9, x*f = 5*l + 166. What is the greatest common divisor of 416 and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162) + sqrt(162)*1*-3 + sqrt(162) + 0 + 6*2*sqrt(162) + 0 + sqrt(162) + -4)*-3 + 0 + 3)**2.\nAnswer: -9720*sqrt(2) + 210177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 29*z - 5. What is the remainder when f(2) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 106?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -q**2 - 45*q**3 + q**2 + 199*q**3.\nAnswer: 154*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**2 - 7*x - 10. What is v(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + y = 5*y, -q = 3*y. Let k be (-10)\/(-660)*1631\/58. Let g = 3\/319 - k. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11\/136 or -1?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**2 - 7*a + 11. Suppose -f = 3*r - 20, 2*f + 23 = -0*r + 3*r. Let u be c(r). Let v be 115\/9 + (-12)\/(-54). Does u = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 432 - 281. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 - 6*x**2 + 6*x + 1. Calculate the remainder when u(7) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((3 + (sqrt(320) - (sqrt(320) + 1)))*2)**2 + (sqrt(60)\/(-6*(sqrt(3) - 2*sqrt(3)))*1)**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 6*m - 2. Let c(s) = -2*s - 3. Let r be c(-3). List the prime factors of x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 5:58 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -63.597 - -2.557. Let n = d + 0.04. Let g = n + 60.9. Which is bigger: 3\/4 or g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129068 is divided by 16099.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -3\/7 (c) 11 (d) -0.06 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -2. Suppose -3*s + 2*b + z*b = -9, 0 = -s + 3*b + 10. Let n(c) = c**3 + 2*c - 1. Let h be n(s). Calculate the greatest common factor of 16 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the first derivative of -3*c**4\/2 + 4*c**2 - 4*c - 703. Let g(w) = -5*w**3 + 8*w - 3. Give -4*g(i) + 3*s(i).\nAnswer: 2*i**3 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 6648230 - 3?\nAnswer: 6648226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 93 - 39. Suppose -j + a = 2*j. Let q = -207 - -223. What is the smallest common multiple of j and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1972 and 1276?\nAnswer: 21692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -46590*t**2. Let f(o) = -2*o**2. Determine f(r(j)).\nAnswer: -4341256200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -90890.980905 + 90892. Let a = -1.3991 + h. Let q = a + 0.38. Round q to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s*s**9)\/s)\/s**(-13))**(5\/7))**(1\/30) assuming s is positive.\nAnswer: s**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-38)\/(-9) - 4\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4728*j**4 + 2445*j**2 - j - 695399702?\nAnswer: -18912*j**3 + 4890*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 2*x - 4. Let a(h) = 10*h**3 - h**2. Let j be a(1). Let v = j + -3. Let g = v + -4. Let t(y) = 3*y**2 + 4*y + 9. Give g*t(q) + 5*r(q).\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -3*i, i + 26 = 4*a - 19. List the prime factors of (1 + a + -7)*(-1 + 54).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14 and 1729.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -2376, -6278\/37 in ascending order.\nAnswer: -2376, -6278\/37, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 2681912.814 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12.0135 - 12. Round x to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 4*a - 2*b - 10, -5*a + 2 = -b. Are a and -3\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10404*c**3*w**3 + 24*c**3 - c**2*w**2 - 548*c**2*w - 16*c*w**4 + w**3 wrt w.\nAnswer: -62424*c**3 - 384*c*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*sqrt(91))\/((sqrt(7) - (sqrt(7) + sqrt(14)\/(sqrt(10)\/sqrt(5)) + sqrt(7))) + sqrt(7) - sqrt(7)) - (2*(sqrt(1053) - (0 + sqrt(1053) + -2)))**2.\nAnswer: -5*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -52363 - 5?\nAnswer: -52368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 770779 or 770798?\nAnswer: 770779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - (-24 - -11)) + (-6 + -5 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v + 3. Let f be j(0). Suppose -f*g = -6*g + 96. Let t = g - -5. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 896*y**3 - 244*y**4 - 896*y**3 + (1 - 1 + 2*y)*(1 + y**3 - 1) - 1 - 2*y**4 + 1 + (0 + 0 + 2*y)*(-7*y**3 + 4*y**3 + 2*y**3).\nAnswer: -246*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-2)\/(-5))\/(1\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 331 = -140*r + 1635 + 96 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 4*z - 10 = 0, 0 = -0*z + 3*z - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t - 7. Let r be f(10). Suppose 2*x = 8, -x + 14 = r*g - 2*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4968348 and 66044.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/56 and -83\/98?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -s + s - s**3 + s**3 - 5*s**3 + 0*s**3 + (0*s + 3*s - 5*s)*(-s + 2*s**2 + s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 7*j - 12. Suppose 3*d - j*d = -9. Suppose -2*o - 4*l = -20, -d*l - 1 = -16. Solve o = -2*p - 5*r - 1, 6*p + 4*r = p - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 134, -5\/21, 5, 0.5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2920220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 9:22 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4895 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:07 PM and 6:02 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 11.59, 13, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -2617 * -12.3.\nAnswer: 32189.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 26 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -113*z - 40 = -109*z. Let t(y) = y**2 + 13*y + 38. Let i be t(z). Put 0.1, 3, i in ascending order.\nAnswer: 0.1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddiipdidiidip. What is prob of picking 2 d, 1 p, and 1 i?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2.34329422 + -4\nAnswer: -1.65670578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17107, -34282, -51443, -68584, -85699, -102782?\nAnswer: -119827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 4368*l + 95 - 4371*l + 1045*l**2 + l**3 - 1035*l**2. Calculate d(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*c - 19. Suppose -2*k = 2*k - c. Suppose -42*x + 40 = -34*x. Sort 2, k, x in decreasing order.\nAnswer: x, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -59*z**2 + 3*z + 1. Let v(x) = 795*x. What is v(b(c))?\nAnswer: -46905*c**2 + 2385*c + 795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 170 and 593725.\nAnswer: 1187450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + 2a9?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -101 - (-498 - -507 - ((-10)\/(-5) - -16)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -19*p**3 - 3*p**2 - 3*p - 48. Let x(z) = 16*z**3 + 2*z**2 + 2*z + 46. Give -2*k(q) - 3*x(q).\nAnswer: -10*q**3 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -219 times -14\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1.18 plus 276?\nAnswer: 277.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 346.13481 and -0.16?\nAnswer: -55.3815696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be 11 - (4032\/(-20))\/(-18). What is the biggest value in r, -59\/3, 0, -0.4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 1:02 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6866 = 2*o - 5*v - 474, -4*o - 2*v = -14728. What is o rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) -118 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xsxssxsxxxsx. What is prob of sequence sssx?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1144 + 2?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 926 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 781939617.\nAnswer: 3, 631, 413069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 44, 551052 in increasing order.\nAnswer: -1, 44, 551052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*c**4 + 4764*c**2 + 1440768*c.\nAnswer: 60*c**2 + 9528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = g + 3*g, 0 = -2*r - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.017 and -394.461.\nAnswer: -6.705837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, q: 5, j: 1, o: 3}. What is prob of sequence jy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 4*l + 12, -36 = -l + 5*k - 9. Find the third derivative of -5*t + l*t**5 - 3*t**2 + 5*t - 3*t**5 wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11513697 and 1793760.\nAnswer: 1842191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -58*v**2 + 22*v + 78*v**2 - 90 - 7*v - 5*v**3.\nAnswer: -5*(v - 3)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -520020 divided by 260010.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1713895 and 0.24?\nAnswer: 411334.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 60.5+-0.005\nAnswer: 60.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.032 in 3, 2\/5, 4\/15, -2?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1557 + -777. Is 2\/(-7) - -24*c\/56 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 3*r - 41. Let p be o(12). Let y = 5 - 0. Let d = 4.25 + -1.25. What is the closest to p in d, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2768 = -5*c + 2*b, 5*b + 2228 = c + 3*c. Let r = -297 + c. What are the prime factors of r?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 138734 divided by -2?\nAnswer: -69367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/22 - 54\/297. Let t(g) = 5 - 3*g**3 - 2*g**2 + 4*g**3 + 7*g - 6*g**2. Let d be t(7). Solve 5*r - j = 17, -r + k*r - d*j = -19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -4. Let p = q + 4. Suppose 1 = -p*z + 28. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-59 + 11456\/192)\/(-17)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -224.8 + 198. Let t = -27 - s. Is t < 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 + 18*v**2 - 31*v - 16. Let q(t) = t**3 - 9*t**2 - 35*t + 4. Let p be q(12). Let g be r(p). Let k(i) = -i**2 - i - 17. Give k(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -382, -763, -1148, -1537, -1930?\n\"Answer: -2*r**2 - 375*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -13\/6, 3, 17.1, -0.2, -4\/5, -2 in descending order.\nAnswer: 17.1, 3, -0.2, -4\/5, -2, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 90585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -3104 divided by -1\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1610776 + 2375?\nAnswer: -1606401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -2259*o - 4894. What is the remainder when i(-3) is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2355 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -203 + 344. Let s = 1510\/11 - t. Find the common denominator of s and -6\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*w + 8*w = 144. Solve z + z = w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -18 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 292 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(204) + sqrt(204) + sqrt(204)*-2)*-4)\/(sqrt(60)\/(-4*sqrt(405))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 612 divide 64047636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of 1 - 1\/4*a**4 - 4*a**3 + 0*a + 1\/20*a**5 + 13*a**2. Factor x(z).\nAnswer: 3*(z - 4)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2\/13 - 656*z - 162754\/13.\nAnswer: 2*(z - 4283)*(z + 19)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 2101 (base 5) to base 7.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 43454.87kg?\nAnswer: 43454870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 11 = 2. Let i(b) = b**3 - 2*b**2 - 3*b + 1. What is i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 - -10. Suppose k*v - 2*v - 176 = 0. Let u = -1760 + 1768. What is the greatest common factor of v and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 147 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1666936478 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1534617699?\nAnswer: 3, 18899, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that s**4\/4 + 49*s**3 - 119075*s**2\/4 - 13385625*s\/2 = 0.\nAnswer: -275, 0, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62392?\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 11*o**3 + 5*o + 2. Let r be (-20)\/(-6)*3\/2. Let v(p) = -p**3 - p - p**3 + 4*p + 1 + 9*p**3. Calculate r*w(c) - 8*v(c).\nAnswer: -c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(300)*1 + 3.\nAnswer: 3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11706345 and 38115.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 - 6*t - 9. Let v(i) = -2*i**2 + 2*i - 3. Let x be v(1). Let a be h(x). Solve -2*u + u - 2 = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 2*v = 2*c - 4, -4*c = 4*v + 4. Suppose -c*j + j = -26. Let k = -12 + 25. What is the greatest common divisor of j and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16240 is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 PM and 2:08 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from obobobooobooob. Give prob of picking 1 b and 1 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -401 + -6?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6449858415 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -5 + 5 - h - 2 + 2*h. Let d be i(8). Let f(k) = -k**3 + 5*k**2 + 9*k - 3. What is f(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3573 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 3*z - 4*s + 156, -5*z = s + 165. Let c be z\/(-6) - (-4)\/(-6). Suppose -72 = -x - 23*x. Solve x = -4*l + n + 2, 0 = -3*l - c*n + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-354)\/590)\/((-6)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 8, q: 1, w: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1000) - (-3*sqrt(1000) - sqrt(1000)) - sqrt(20)\/sqrt(2)*-4)\/(-6*(sqrt(162) - -4*(sqrt(162) - (-1*sqrt(162) - sqrt(162))))).\nAnswer: -sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -35*i + 2 + 19*i + 15*i - 1. Suppose 0 = -2*x - 2 - 0. Let d(v) = -3*v + 16. Let q(k) = x*d(k) + 4*m(k). Calculate q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 191627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 18912253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**2 + 5*z - 5*z)*(-3*z + 2*z**2 + 3*z) - 3 + 5*z**4 + 3.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - -12)\/(57\/38). Suppose 2*n - p = 4*a - 3*a, -3*a = -n + 24. Is (2489\/3)\/(0 + a\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 1 + 1 + 2 + 3 - 3 + (2 + 2 - 2)*(-12 + 5 - 1))*(-4 - 18965*a**2 + 4 + 16698*a**2) as s + j*a**2 + u*a and give j.\nAnswer: 36272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -827*f - 927. Let y(l) = -2*l + 1. Let b(n) = d(n) - 4*y(n). What is the first derivative of b(m) wrt m?\nAnswer: -819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4220 - 34230?\nAnswer: -30010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -64 (b) -247 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3920 and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/4, -6\/191, 3\/7?\nAnswer: -6\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 - (-38 + 2 + 185) - -20.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 176 and 13464.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 3*d - 4 = 0, 20 = 427*m - 434*m + 2*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 245 - 0. Let r = c + -245. Solve -2*b + l = 3*l - 2, r = -2*b - 3*l + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*k + 402 = 9*k - 150 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 + 4 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43202069*p - 21608911*p - 21593156*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 103, 348, 637, 970, 1347, 1768?\nAnswer: 2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from ksiikzx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 87424980907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -5*g + 14. Let x = 25 - 20. Suppose 2*i - g*l = -2, x*i - l + 2*l = -23. Which is the second biggest value? (a) 2\/5 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10223221\/312 - 32767. Calculate the common denominator of 49\/52 and b.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 57\/404635 and 25\/66.\nAnswer: 2427810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 493 - 497. Sort d, 4, -2, -3 in decreasing order.\nAnswer: 4, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand w**5 + 0*w**5 + 3*w**5 - 3*w**5 - 6*w**5 + w**5 + w**5 - w + w + (1 - 1 + 1)*(w**5 - w**2 + w**2) - 3*w - 2*w**5 + 3*w.\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 205878686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**3 + p**2 - 81*p - 400. Determine x(-8).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = -351*f + 345*f. Let l be 1\/(-7)*1 + 64889999\/f. Round l to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*b**3 + 3*b**3 + 4*b**3 - b**3 + b**3 + 2*b**3 + (-b**3 - 2 + 2)*(2 + 1 - 6) + 11*b**3 - 7*b**3 - 5*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -9 + 3267?\nAnswer: 3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -2*d**3 + 6*d**2 + 23*d + 5. Let k(s) = -s**3 + 3*s**2 + 11*s + 2. Let i(j) = 13*k(j) - 6*q(j). What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 2*v - 5013 = -4*v, 2*v = 4*j - 6684. What are the prime factors of j?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*s = -604*s + 106*s - 1297 - 12828 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -49, 2, 5, -1 in descending order.\nAnswer: 5, 2, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2*v - 67. Let q = 13644 - 13666. Calculate i(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 10*u = 180. Suppose v + 5*t = 113, 5*t = 2*v - 181 + u. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3 - 1 - -2)\/2. Find the second derivative of -2*s**a - s + 4*s + 0*s + 2*s wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**5 + n**5 + 3*n**4 - 6*n**2 + 5 - 6*n**3 + 0 + 3*n - 2.\nAnswer: 3*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - i + 40 = 0, 4*u - 6*u + 83 = 5*i. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (304\/(-38) - -725)*31\/3.\nAnswer: 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-2 + 6 - (1 - 13)) - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 44*g**2 + 19*g + 344. Is t(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 352 + -347. Suppose -3*j + 21 = -2*t, -4*j + r*t + 24 + 11 = 0. Solve 2 = -4*i - 2*p, -4*i - 23 = -j*p - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -294 - -342. Calculate the smallest common multiple of 2 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h - 2*l + 16, 66 = 4*h + 21*l + 12. Solve o - h*z - 3 = -z, 4*o = 3*z + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 133290860?\nAnswer: 2, 5, 6664543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 366832954 to the power of 1\/3, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3, 16, 33, 48?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 PM and 3:19 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2*y + 39. Let t(s) = 5*s + 40. Let v(n) = 4*l(n) - 3*t(n). Let o be v(4). Which is the nearest to o? (a) -2 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -914799 - -2744398\/3. Let -1\/3*k**3 + 0 + c*k**4 - 10\/3*k**2 - 8\/3*k = 0. Calculate k.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*a**2 + 5178*a - 860184 = 0. Calculate a.\nAnswer: -3676\/25, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 44 + 468b?\nAnswer: 46cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26070 is divided by 3192.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, 3.92, -40, -513?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f + 4. Determine w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -88.0034*-21.\nAnswer: 1848.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n + 2. Let f be t(0). Suppose -m + 6*m - 4*h = 0, 0 = -f*m + h. Solve 0 = -2*p - m*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -46765\/10563 - 2\/1509. Let q = 1480912 - 62202311\/42. Let z = q - -620\/7. Calculate the common denominator of s and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 756 divided by 189.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5588\/(-209550))\/(-1 - (-11)\/10).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (35 - 6 - -5) - -26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 470 - 125 = -27*o - 206 - 421 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*p - 16*p - 53*p + 4*p to the form b*p + q and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffjffffuuufjfjjfufff. What is prob of sequence ujj?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5881624543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 2*h**2 - 7*h - 9. Let v be t(9). Suppose -c = c - v. Let o = -23 + c. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 35\/1*1*(-17)\/(-85)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4*v**2. Let c(f) = 120967*f. Give c(n(s)).\nAnswer: -483868*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -5*c - 5. Let g(t) = -t + 1. Let b(k) = -2*g(k) + n(k). Let j(m) = -m - 2. Suppose -3*i = 5*v - 78, 2*i - 4*i - 2*v = -48. Calculate i*j(o) - 6*b(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -5254 (base 9) in base 14?\nAnswer: -1596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 1 - 2 - r + 0*r. Let y be x(-3). Let v = 4 + y. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 + -1)\/(9\/(-9)). Let w(v) = -v**2 - v - 1. Determine w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 1449*l**3 - 9*l**2 - 3*l. Let x(w) = -4346*w**3 + 24*w**2 + 8*w. Determine 8*k(f) + 3*x(f).\nAnswer: -1446*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 - 2*i**2 - 1. Let r be k(-2). Let s be (-5 - (-1 + -2))*r. Suppose b = -s*b + 81. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, d: 2, m: 2, k: 8, n: 2}. Give prob of picking 1 k and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -7931, -31663, -71191, -126515?\n\"Answer: -7898*n**2 - 38*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the second derivative of d**6\/10 + 19*d**5\/40 + 25*d**4\/36 + 17*d**3\/36 + d**2\/6 - 82*d. Solve o(m) = 0.\nAnswer: -2, -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*k**4 - 10*k**3 - 36*k**2 + 58*k - 15 = 0. Calculate k.\nAnswer: -3, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -99015*v**3 - 758*v**2 + 49507*v**3 + 49503*v**3 - v**6 - v wrt v?\nAnswer: -120*v**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/72*(10 - 2)*19\/(-114). What is the smallest value in -1\/9, 9\/4, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19 - -21. Suppose -g - 6 = -2*g + d, -2*d = 4*g. Solve 3*k + 0 + 6 = 0, -g*s = -2*k - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 402359764 by 83.\nAnswer: 4847708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 69.066 + -69. Round d to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/20)\/(2\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/15, -3\/5, -8, -1.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n\/(((n\/(n*(n*n**(-12)*n)\/n))\/n)\/n)))\/(n**(-1)*n))\/(n**(-2\/11)\/(n\/(n*n\/(n**(-1\/2)*n)))) assuming n is positive.\nAnswer: n**(191\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 PM and 6:04 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 61\/85 + -2\/17. What is the third smallest value in 5, 0.4, a, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -1395*i**3 - 261*i**2 - 9*i + 12. Let k(g) = g**3 + g**2 - 3*g + 12. Let r(j) = f(j) - k(j). Find the third derivative of r(q) wrt q.\nAnswer: -8376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 - -8. Let o = y - -5. Suppose 3*v + 5*l - 37 = -0*v, -o*l = -3*v + 69. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and -130.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 7, -41, -2, 14, 1 in ascending order.\nAnswer: -41, -2, 1, 7, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -11*j + 89. Let h be x(8). Let g(o) = -4*o**2 + 12*o - 1. Let z be g(h). Solve 0 = -3*k + 2*v - 21, z*v - 2*v - 25 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13775313?\nAnswer: 3, 4591771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72851*x**2 - 145433*x**2 + 72573*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 AM and 3:13 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 4252, 17015, 38294, 68095, 106424, 153287?\n\"Answer: p**3 + 4252*p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from brbbbrhbrbbrhrb. Give prob of sequence rhh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 56 = 20. Let q(i) = i**2 + 9*i - 13. Let o be q(-11). Let u = 12 - o. Solve u*v - d = -0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 3*q + 18 = 0, -3 = -4*z - 5*q - 17. Let b(l) = 3*l**2 + 11*l - 22. Does 2 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -687 - -714. Let f(l) = 2*l - 37. What is the remainder when 354 is divided by f(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 18 or -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 2*v, -2*n + 4*v + 5 = -11. Suppose -n*c = -118 - 18. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5.3 and 117.43.\nAnswer: -622.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3615 - -3615. Let d be (1\/3)\/(3\/27). Suppose g = -d*h - 2*n + 227, -h + 3*n - 2*n = -79. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*s + s + 4864 = 0. Let l = -381 - s. Which is smaller: -124 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (32\/(-6))\/((-3)\/9). Let b = c + -11. Let h(u) = u**2 - 6*u + 10. Let f be h(b). Let r(s) = 6*s - 2. Let g(d) = -5*d + 2. Determine f*g(y) + 4*r(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/(sqrt(5)*2) - sqrt(2)*2*-1.\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 340493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 2*v**3 - 4*v. Let n(i) = 15*i**3 - 15*i**2 - 72*i + 15. Let r(u) = u**2 + 3*u - 1. Let j(w) = -n(w) - 15*r(w). Calculate -27*a(x) - 4*j(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14 and 8687162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 + 6*u**2 - u - 4. Let l be y(4). Let p be 4\/l*(-18)\/28. Let x = p + -439\/84. Find the common denominator of x and 47\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 2907 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*n**2 + 10 - 1800*n - 1824*n + 3626*n to the form s + m*n + c*n**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 417293.8 minutes to milliseconds.\nAnswer: 25037628000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1169852868 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is p in 507*p**5\/2 - 32487*p**4\/2 - 230124*p**3 + 29250*p**2 + 167616*p + 49248 = 0?\nAnswer: -12, -6\/13, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 105 and 930.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*z + 2*z**2 + 7*z)*(2*z + 3*z - 3*z) - 3*z**3 + 3*z**3 - 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -27 - (-98 - (-21 + 19 + -13))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - 28 = -3*f, 7*f - 6*f - 4*j - 6 = 1 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 13) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 30 (b) -2\/3 (c) 1 (d) -22 (e) -16.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -9432*b + 1407*b - 187347 = 197853 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:00 PM and 5:49 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/181736 and 83\/2248983.\nAnswer: 17991864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + (-1*2*(sqrt(13) - sqrt(208)) + 0 + sqrt(117) + -1 + sqrt(13) + 2)**2)*-2.\nAnswer: 80*sqrt(13) + 5188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(512) - (sqrt(512) + -6*(sqrt(512) - -2*sqrt(512)) + sqrt(512)))\/((6*(sqrt(48) + sqrt(48)*1))\/sqrt(12)).\nAnswer: 34*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 10 divided by 16126657\nAnswer: 10\/16126657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1181833 smaller than -1182110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.8363 - 2.8230568. Round w to four decimal places.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 2.944 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 36*d**2 + 1544*d - 7718. What is m(5)?\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r**3\/6 - 15343*r**2\/6 + 19619861*r\/2 - 19614747\/2 = 0. What is r?\nAnswer: 1, 7671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 + 2*m**2 + 18*m - 15. Let i be o(5). Solve -3*q + 9 = i, -4*t + 6*q - 28 = 2*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5136116 (base 9) to base 10\nAnswer: 2740407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -z**5\/8 - 1351*z**4\/4 - 1932657*z**3\/8 - 35501389*z**2\/2 + 157640252*z = 0.\nAnswer: -1309, -92, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*b - 24*b = 4. Suppose -8*p + 852 = -b*p. What are the prime factors of p?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22620 = 26304*c - 25550*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 11386624 divided by 4?\nAnswer: 2846656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 14059.5 rounded to the nearest 100?\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - a - 5 = 0, 6*b - 5*b + 5*a = -1. Let d = 404\/91 + -54\/13. Sort d, b, 3 in descending order.\nAnswer: b, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.7 + 6.3. Let b = n - 3.9. Sort b, -1\/2, 1\/4 in decreasing order.\nAnswer: 1\/4, b, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {t: 1, y: 1, c: 2, m: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -11*p + 20. What is the highest common factor of 82 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/(((u**(1\/4)\/u)\/u)\/u))\/u*u)\/(u*u**2*u))**(1\/27) assuming u is positive.\nAnswer: u**(-1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-28)\/6*6\/(-4). Let s = z + -3. Suppose 2*a + 15 = 3*y, 0 = s*a - 2*y - 0 + 10. Solve a = -3*t + 5*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2590*m - 31. Let k(u) = -29*u. Give v(k(b)).\nAnswer: 75110*b - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of 3*n + 0*n**4 + 1\/10*n**6 + 0*n**2 + 5\/6*n**3 + 0 + 0*n**5. Find the second derivative of r(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -4*x. Let d(q) = 4*q. Let y(m) = -3*d(m) - 4*z(m). Suppose -u - 6 = -4*u. What is the lowest common multiple of 4 and y(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 756052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.07 or 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 15, 82, -433, -0.04 in descending order.\nAnswer: 82, 15, -0.04, -2, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 5*c + 32 = 0, -52 = -7*a + 3*a + 2*c. Let l = 26 - a. Solve -z - 4*t = 1 + l, -3*t = 3*z + 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -99 - -115. Calculate the greatest common divisor of 112 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 21300766, 42601536, 63902296, 85203040, 106503762?\n\"Answer: -p**3 + p**2 + 21300774*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 4 + 0)*(-t - 4*t + 2*t)*(2 - 4 + 1)*(5 - 4 + 4)*(2 - 3*t - 2) as h + n*t + i*t**2 and give i.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.3, -0.2, 8, -5\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of 38745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 73533909?\nAnswer: 3, 3583, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of a**4 + 0*a**2 + 0*a**3 + 64 - 2*a + 51\/20*a**5. Factor r(y).\nAnswer: 3*y**2*(17*y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.10722 - -5?\nAnswer: 4.89278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 7 = 100. Let q = t + -19. Let z be 5\/5 + -4 - -5*3. Calculate the highest common divisor of q and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1\/16 + 0. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 78125 - 34230. List the prime factors of k.\nAnswer: 5, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 22 + -5?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2504? (a) -1\/4 (b) -4 (c) -13\/560\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1438 + 1564. What is the highest common divisor of 280 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -501.998 + 9.765. Let y = 492 + j. What is y rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 40703131 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**4 + 1961956*q**3 - 481151070304*q**2 - 3849351786532*q + 4330500894882 = 0.\nAnswer: -9, 1, 490493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yga when three letters picked without replacement from {a: 1, g: 2, y: 2, m: 1, v: 5, c: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 137*y**2 + 59*y - 192*y + 66*y + 69*y.\nAnswer: 137*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 16183579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.224 (b) 3 (c) -5\/3 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -12. Let x = 11 + y. Let q = -4.8 + x. Sort -4, q, 2\/11 in decreasing order.\nAnswer: q, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 7*a**3 + 5*a + 3. Let b(w) = -w**3 - w. Give -5*b(h) - j(h).\nAnswer: -2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*w**2 + 19\/2*w - 15\/4 + 5\/2*w**3 - 1\/4*w**4.\nAnswer: -(w - 5)*(w - 3)*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*n + 3*n - 4, -3*b + 4*n + 154 = 0. What is the second derivative of -6 + b*w - 25*w - w**2 - 21*w + 2*w**2 wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 44 and 89323839.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3044981 divided by 61?\nAnswer: 3044981\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + -10. Let b(h) = -h**2 - 4*h + 7. Let k be b(y). Suppose 2*i - 3*l - 17 + 4 = 0, 5*l - 53 = -k*i. Calculate the highest common divisor of 28 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 32*t - 315. Let n be h(10). Sort -26, -3, n, 0 in ascending order.\nAnswer: -26, -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 6*t**2 - 2*t + 3. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -114 - -1530?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 90, 95, 104, 117, 134, 155, 180?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(1 + sqrt(34)\/sqrt(2)).\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 0.5 (c) -68 (d) -8\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 11*d**2 + 6*d - 9. Let f(q) = 4*q**2 + 2*q - 3. Let l(c) = -8*f(c) + 3*o(c). Let s be l(2). Solve -4*p - 18 = x, 0 = -s*p + x - 6 - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10744\/(-61778))\/(66\/(-23)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 + -15 - (-2 + 1)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 - 5*l**2 - l + 2. Let g be q(5). Sort g, -4, 3, 9.\nAnswer: -4, g, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times 480069?\nAnswer: -192027.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -84416186 by -2.\nAnswer: 42208093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -458*q*y**2 - 867*q + 4*y**2 + 2 wrt y?\nAnswer: -916*q*y + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**3 - 100*l**2 + 3065*l - 2960.\nAnswer: -5*(l - 16)*(l - 1)*(l + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(34\/15) - (-5)\/(-5).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.2845405 rounded to one dp?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:02 AM and 6:29 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-5)\/(-56))\/(-3 + (-65)\/(-20)) and 17\/134?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 3005 = -5*i, -3*v - 2*i + 3*i = -3017. Suppose 8*f = 13*f - v. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 68321009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-27))\/(12\/18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 690 - 696. Let z(r) = 7*r + 23. What is z(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the third derivative of -7*q**5\/60 - 2*q**2. Let w(u) be the third derivative of -u**4\/24 - 15*u**2 - 3*u. Give w(a(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 7 - 3*i + 3 - 6*i - 14. List the prime factors of t(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 6*s + 25. Let d be c(-5). Let x be (-291)\/(-12) - ((-60)\/(-16))\/d. Solve -6*w = -w + x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 57160 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvvhvvvvvhh. Give prob of sequence hhh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 e, and 1 g when three letters picked without replacement from {e: 1, a: 1, g: 1, m: 2, d: 1, l: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of r**7\/63 - r**6\/45 - r**5\/15 - 4*r. Factor g(z).\nAnswer: 2*z**3*(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 469 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2188 divided by 4.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 482290 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 4045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-14)\/60 - (-44)\/66?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) 0.2 (c) -2\/7 (d) 2\/13 (e) 185 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(45) - (0 + -1 + sqrt(45))))**2 - 4*(sqrt(5) + 0 + sqrt(5) + -5*sqrt(5) + sqrt(5))**2*3.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -5\/8 (b) 5\/3 (c) -8\/329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 12. Suppose -c*y = -y - 10. Suppose -y*j + 6*j = 8, -x - 5*j = -91. Calculate the remainder when x is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 - 2*m + 12 - 22 + 6*m**2 + 13. Is 25 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (75\/(-20))\/((-40)\/(-64)) + -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t - 5. Let v(l) be the first derivative of 1 - 2*l - 1\/2*l**2. Let g(a) be the first derivative of v(a). Give -5*g(q) + p(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 219*r**3 + 867?\nAnswer: 657*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 52135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y - 2254 + 2358 = 0. Solve -y*b = -11*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -14*a**2 - 235*a - 943. Calculate g(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.63 + 1.63. What is the biggest value in v, 5, -1, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1147, 4536, 10151, 17962, 27939, 40052, 54271?\nAnswer: 70566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-5))\/(8\/140). Solve c = -n + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add -0.3 and 17.1885851.\nAnswer: 16.8885851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 4:33 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 9 = -p + s, 4*s = -3*p + 28. Let b be 38\/p - ((-76)\/(-16) + -4). Suppose w = 7 - 7. Solve w = -m - b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 5, t: 4, v: 1, a: 1, w: 4, y: 4}. Give prob of picking 1 v, 1 t, and 1 w.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -263*i - 250*i + 24624 = 0 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -10052 and 0.005886.\nAnswer: -59.166072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oooffofooooooofooooo. What is prob of picking 3 f?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7258 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -h**3 + 3*h**3 + 3*h**3 + (-864*h**3 + 207*h**3 - 560*h**3)*(0 - 4 + 3) as u*h + p*h**2 + w*h**3 + j and give w.\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 13 = 4*p, s + 12*p - 16*p = -3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -6470*y**3 - 8*y**2 - 6*y + 1. Is c(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r**2 - 7*r - 2. Let m(g) = g**2 + 3*g + 1. Let y be 4\/20 + 133\/35. Suppose -y*d - 5*b - 24 = -3*b, -3*d + 8 = -5*b. What is d*t(w) - 9*m(w)?\nAnswer: -w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 427805.\nAnswer: 5, 7, 17, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 172*q - 23 - 89*q - 84*q + 230 as u + r*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 - 15. Let r = 4 + s. Solve w = -5*v + 2*v - r, -3*w - 5 = 5*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 5\/4 (c) -0.028 (d) 1\/3 (e) -85 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 85 - 57. Suppose 5*i = 4*i + 42. What is the greatest common factor of i and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 0*o = 5*g + 15, -3*g + 11 = o. Suppose 5*a + g*c = 193, -127 = -3*a + c - 5*c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0005589 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 divided by 614027.\nAnswer: -13\/614027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/11))**27 assuming b is positive.\nAnswer: b**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1021304*y**3 - 180 + 2042626*y**3 - 1021325*y**3.\nAnswer: -3*y**3 - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -2166 * -0.00794\nAnswer: 17.19804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 2*o. Suppose -4*g + g = o. Find the common denominator of (2 - (-447)\/(-60)) + g and 57\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -255074799*o**3*t**3 - 660*o**3 + 116*o**2*t**2 - 3*o*t**2 - 5*o wrt t?\nAnswer: -1530448794*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1428601+0.220987\nAnswer: -1428600.779013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68332.\nAnswer: 2, 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -11*m + 18. Is q(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**5 + 5*j**2 - 5*j**2)*(4 + 1 - 4) + 9*j**5 + j**5 + 6*j**5.\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes after 2:11 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 637 - 6?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be 31\/868 + 465910\/280. What is the greatest common divisor of 364 and c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.107 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -42*t - 252. Let i be g(-6). Suppose 3*s - 4*d - 138 = i, -3*s - 4 = 4*d - 142. Calculate the lowest common multiple of 9 and s.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 979 is divided by 73?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/2 + (-49)\/(-2). Suppose n = -u - u. Let a be ((-3)\/(-2))\/((-33)\/u). What is the second smallest value in a, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1074\/(-396)*-11)\/(-6) - (-10)\/2. Which is the closest to 1\/3? (a) 3 (b) t (c) 0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 - 3*l**2 + 11*l + 12. Let y be x(-5). Solve -4*m + 9 = -y*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 87454 and 4526.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/3, 32.1, 0.075, -2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -c + 149, 5*u + 3*c - 4*c = 141. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -102012101 - 10210?\nAnswer: -102100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3379870, 3379938, 3379994, 3380032, 3380046?\n\"Answer: -x**3 + 75*x + 3379796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1884, 1896, 1908, 1920, 1932?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 13006485 = 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 36\/165115 and 17\/55?\nAnswer: 1816265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -63*w**2 + 10*w - 6. Calculate l(-3).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/24 and 97\/1500.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 12 = 48. Suppose -5*d + 403 = 4*t, 3*t - 336 = -5*d + 8*d. Let f = g + t. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -93 - 5*y - 307 + 8*y - y + (1 - 4 + 1)*(4*y - y - y) as u + c*y and give u.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 538923 a multiple of 1392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 15 (b) 5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -v - 3*v - 69, -2*d = -6. Let p be ((-560)\/v)\/(-7)*15\/(-4). What is the units digit of (-14)\/(-16)*2*p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*b**3 - 16*b**3 - 3*b**3 - 13*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 6 + -422576?\nAnswer: -422570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3601*b**4 - 4*b**3 - 2*b**2 + 1010*b - 16.\nAnswer: 43212*b**2 - 24*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (3*(sqrt(605) + sqrt(605)*-2 + 1 + -3 + sqrt(605) + 1))**2*4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + 1 - 159\/(-1). Let z be (-2)\/(-11) + m\/33. Solve -3*h = -z*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -840296, -840425, -840554, -840683, -840812?\n\"Answer: -129*p - 840167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1714, 6876, 15474, 27508?\n\"Answer: 1718*a**2 + 8*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/(-10))\/(-6*(-22)\/660)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -6023 (base 16) to base 15.\nAnswer: -745b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 486 and 95553.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from oovwvov.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + (6 + -10 - -55 - 9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -5. Let h(k) = -21*k - 27. Let v(o) = -2*o + 2. Let p(l) = 15*l - 8. Let a(r) = -p(r) - 6*v(r). Give x*h(j) - 27*a(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 166257 and 244657.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/14)\/4*(-21)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3353*n*r**3 + 2*n + 972*r**3 - 12*r**2 - 2 wrt n?\nAnswer: 3353*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 709, 1589, 2469, 3349?\nAnswer: 4229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*c = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -10*g. Let o(t) be the second derivative of 13*t**3\/2 + 415*t. Determine -2*o(a) - 9*s(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34.88 + 76.3.\nAnswer: 41.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 48*o - 315. What is the remainder when x(12) is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 - 859*x**2 + 432*x - 368084. Determine w(-860).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/5 or -8387543?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4306069 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -2*l - 15. Let k be ((-3)\/l)\/(2\/10). Suppose 0 = 5*g + j - 39 - 141, k*g = -j + 108. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4435883?\nAnswer: 31, 143093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 7341.238 nanograms?\nAnswer: 0.000007341238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11670 is divided by 485?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*a**3*l**3 + 4*a**3*l + 2*a*l**3 + 96*a*l**2 - 38*l**3 wrt l?\nAnswer: 30*a**3 + 12*a - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -4*5\/100 - (-22)\/10. Let b(l) = -l**2 + v*l**2 + 14 + 4 - 12. Calculate b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3331*x + 20086. Let i be y(6). What is the greatest common divisor of 3450 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 13805, 54889, 123363, 219227, 342481?\n\"Answer: 13695*p**2 - p + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 2 = -7*c + 12 + 25, 20 = 4*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**2 - t**2 + 2*t**2)*(t - 2*t - t) + t**3 + 0*t**3 + t**3 - 2*t**3 + 0*t**3 - 2*t**3 + (4*t - 4*t - 3*t**2)*(-3 + 3 - t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 1060.64539 to zero decimal places.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6784204 is divided by 157772.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2880*c**3 - 2887*c**3 - 2871*c**3 - 2870*c**3 + 11485*c**3.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 2*n. Let i(b) = -87*b + 87*b + 11*b**2. Calculate y(i(r)).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 37973629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, -2, 4, 84, 0 in decreasing order.\nAnswer: 84, 4, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 5*g + 4 - 10, -3*w = -3*g + 18. Let j(m) = -m + 18. Let t(k) = -k + 19. Give g*t(v) - 2*j(v).\nAnswer: -v + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 550\/(-60) + (80\/(-10) - 2*-2) and 1 + 11 - 0\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -78 - -78.048. Let i = w + -0.057. Let g = 0.00899259 + i. Round g to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -23*p - 181. Let o be i(-8). Solve -7*r + o = -10*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 250, 532, 814, 1096, 1378?\n\"Answer: 282*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 17\/((-418)\/(-30) + -14). Which is smaller: -256 or d?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the third derivative of -a**4\/4 - 7*a**2. Let r(u) be the second derivative of -2\/3*u**3 - 36*u + 0 + 0*u**2. Determine v(r(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(-2\/11))\/h)\/(h*h**14))**(-32)*(h*h*h\/(h**(-2\/15)\/h)*h*h\/(h**(5\/2)*h))**7 assuming h is positive.\nAnswer: h**(166403\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 94851, 94843, 94811, 94743, 94627, 94451, 94203, 93871?\n\"Answer: -2*v**3 + 6*v + 94847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/24473 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 8*z**2 + 6*z - 6. Let y be c(5). Let n be (-4)\/10 + (-114)\/(-10). What is the highest common divisor of y and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 410850 and 726?\nAnswer: 4519350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 188 = -2*r - 94, l - 5*r - 291 = 0. Suppose -l = -17*j + 948. What is the remainder when j is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minus -27.654281?\nAnswer: 98.654281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3158555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**3 - c + 2. Let i be h(0). Suppose i*a - 15 = a. Let w = a + 15. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2677.951 + 2677. Let a = 40.951 - 41. Let s = a + p. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the first derivative of -4*j**3\/3 + 33*j**2 - 32*j - 1344. Factor o(d).\nAnswer: -2*(d - 16)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 850354 is divided by 212496?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 0.04891 (b) 0.1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6770 - 47*p - 7485 + 715.\nAnswer: -47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*q - 2*q - 2358 = 0. Suppose -171 = -4*r + q. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 1100110?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-493)\/(-116))\/(5*(-2)\/24*(-129)\/(-430))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 96 + -97. Suppose 2*d - 4*o = -6, -2*o = 35 - 39. What is the nearest to d in c, -3, -4, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -238 + 416. Let h = z - 165. What is the remainder when 22 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 5*u**3 - 5*u**2 - 40*u + 60 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -181, -356, -531, -706, -881?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000083070273 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes before 6:59 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -r**4 - 11*r**3 + 563110*r**2 + 4*r + 1404053?\nAnswer: -12*r**2 - 66*r + 1126220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -88*m + 88*m + 70*m**5 + (-3 - 4 + 5)*(-2*m**5 + m - m) + (-4 + m**2 + 4)*(-2*m**2 + 2*m**2 + 2*m**3).\nAnswer: 76*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5135347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/((-1)\/1 + 2). Let u be (-12)\/24*0\/(0 + 4). Suppose 2*g + 2*l - 29 - 11 = u, -g = -2*l - 20. Solve -g = -5*x - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 5, y: 3, c: 5}. Give prob of picking 2 y and 1 p.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102499 is divided by 34148?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 112430421444 - -4?\nAnswer: 112430422003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -218.913 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/27497269 and -45\/2.\nAnswer: 54994538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of 7*j**5\/30 - j**4\/6 + j**3\/2 + 3*j**2. Is x(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) -63 (c) -1 (d) -92 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -7*h**3 - h. Let n(f) = 3*f**2 + 10 - f**3 - 42 + 8*f**2 + 14*f + 7. Let c be n(12). Give q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z**2 + 7*z**2 + 13*z**2)*(-1 - 1 + 3) as r + k*z + a*z**2 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1697.678976 - 1684.679. Let h = j - 13. What is h rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1899 divided by -3?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -40441 (base 7) in base 14?\nAnswer: -3821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 6342 by -151.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5059 is divided by 5056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 1:25 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 368610290 to the power of 1\/2, to the nearest integer?\nAnswer: 19199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 165 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8\/12*9\/2. Let p be (4\/3)\/((56\/h)\/4). Which is the smallest value? (a) 5 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -7*y + 10087. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3767543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77392?\nAnswer: 2, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {b: 5, m: 2, o: 5, z: 4, c: 3}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (115\/138)\/(3\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (174\/42)\/(9\/(-2)) and -23\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-6 - -20 - -3 - (-6 + 2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 3\/2, -28, 1\/4, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 159 a factor of 54938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 4 = 2*z - 14, -5 = -z - 5*t. Let d(v) = 31*v - 150. Let y be d(z). Solve -10 = 5*x + 4*i - 3*i, -4*i = y*x + 25 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from neceebniienie. Give prob of picking 1 n, 1 c, and 2 e.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8573 is divided by 57?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (48 - 2*j - 48)*(j + j - 8*j) + 3*j**2 + j**2 - 8*j**2 + (-3*j + 0*j + 0*j)*(2 - 2 - 2*j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*w = -0*w + 63 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/40 and 181\/1380.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-2\/9)\/(l**(3\/7)\/l))\/(l*(l*l**0)\/l)**32)\/(l**(1\/2)*l\/l**(2\/13)*(l\/(l*l*(l**(2\/9)\/l)\/l))\/l**2) assuming l is positive.\nAnswer: l**(-5783\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -5\/32562?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jsjsjjsj. What is prob of sequence jj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 8252\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 5\/((176\/924)\/((-40)\/(-1225)))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = -z + 116 - 226 + 99, -3*h = -z + 19 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (1 + 3)) + (-15 - -22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -219\/4 - -55. Let m = -2.7 + 3. What is the nearest to q in 4, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from -0.097.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 4)*(-6 - 2*r + 6)*(6*r**2 - 2*r**2 - 2*r**2)*(5 + 0 + 0 + (12 - 1 + 3)*(-3 + 1 + 1)).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + 2 + 292\/(-100). Let z(r) be the first derivative of 1\/15*r**6 + 2\/15*r**3 + 2 - 1\/10*r**4 - i*r**5 + 0*r + 0*r**2. Factor z(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.5894047 litres?\nAnswer: 589.4047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(-7)\/y*y*y**5*y*(y**(-1))**(-9)*(y**0)**(10\/11)\/((y**(2\/7)*y)\/y)**(11\/8) assuming y is positive.\nAnswer: y**(241\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1620) - ((sqrt(1620) - 5*sqrt(1620)) + sqrt(1620)))*2 + sqrt(1620))\/(3*2*sqrt(256)).\nAnswer: 27*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-19)\/(-38) - 30\/44)*(920\/40 + -31)\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence abf when three letters picked without replacement from {i: 1, a: 8, f: 1, z: 4, b: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 37) + 1070 + -1048.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 42\/9*(-6)\/(-7). Suppose -t*o + 17 = 3*c, -4*o + 0*c = -c - 21. Solve -o*a = -3*l - 30, -19 = -3*a + l - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 922 divide 20106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(304) - (1*sqrt(304) + sqrt(304)))*6.\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -329 - -587. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7.88 + 8. Let z = p - 0.82. Are -0.1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.164 + 0.164. What is the nearest to 1 in -63, y, -0.01?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 269235\/(-15314) + 17 + 2\/3 and 17\/60.\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, j: 2}. What is prob of picking 1 j and 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 19617*c**2 + 40*c + 42. What are the prime factors of q(-1)?\nAnswer: 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -2*w**3 - 14*w**2 + 1552*w + 12293. Determine t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 33059 + 0?\nAnswer: 33059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 15061477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from iienieniicni.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 1 = 5. Suppose 0 = -k*i + 18 - 6. Suppose 199 = i*f - 491. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5474 (base 9) to base 11.\nAnswer: -303a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6011, -5997, -5983?\nAnswer: -5969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13045230 + -11?\nAnswer: -13045241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 234 and 318.\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -146750 divided by 125\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19041, -19042, -19043, -19044?\nAnswer: -19045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 683*d - 2595 wrt d.\nAnswer: 683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4678463.6899919 + -4678463. Let o = -0.69 + r. What is o rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/56 and -29\/3640.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -589 - -905. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*-40674975.\nAnswer: 203374875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes before 10:01 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 5) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67, -142, -213, -280, -343, -402?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1488*f = 1478*f + 72590. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 53 in -2, 2\/5, -2\/7, 1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 + 3*c + 12. Suppose 3*v + 17 = t, 3*t = -0*t + 3*v + 27. Let j be f(t). What is the tens digit of 2 - 3 - (-30)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32556 divided by 16278.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -99, -126, -211, -384, -675, -1114?\n\"Answer: -5*z**3 + z**2 + 5*z - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 40 - 22. Suppose 0 = 2*n + 5*v + 1, -4*n - v + 43 = w. Suppose -2*c = -n*c + 580. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-1616.3885.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 - 2*z + 2. Let j be x(3). Let n(p) = -p**2 - 16 - 6*p - 6*p + 4*p - 2*p. Let m be n(-7). Solve j*k + 0*k - m = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 256 and 227840?\nAnswer: 227840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4756306931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/5520 and 25\/6?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, t: 4, u: 1, n: 1, a: 3, k: 2}. What is prob of sequence kuv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(76)\/sqrt(2))\/sqrt(2) + sqrt(19) + sqrt(171)\/sqrt(36) - -1*2*sqrt(304)))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151 = 12*i - 439. Calculate the remainder when 142 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 5 = -17*k + 18*k, 0 = -3*k - y + 27. Let a = -31 + 38. Suppose 0 = -a*o + 18 + 66. Is k at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21762?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-1\/3)\/n**(2\/7)*(n\/((n*n**(-5))\/n*n))\/n**(1\/9) assuming n is positive.\nAnswer: n**(269\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3352 + 3337 - 4254 + 8076*q wrt q.\nAnswer: 8076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -23*d**6\/120 - 3*d**4\/8 + 13*d**2. What is the second derivative of j(m) wrt m?\nAnswer: -138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 14004 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.6366 * -0.5.\nAnswer: 0.8183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 649090.\nAnswer: 2, 5, 13, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the second derivative of -o**6\/5 - o**4\/12 + 69*o**2\/2 + 2*o - 32. Differentiate t(z) with respect to z.\nAnswer: -24*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 - 8\/(-4))\/1. What are the prime factors of (f - -1)*(-186)\/(-4)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -32*c**3\/5 - 637252*c**2\/5 - 1354024*c\/5 - 159296\/5 = 0.\nAnswer: -19912, -2, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*l**2*x - 2413246*l**2 + 7*l*x + 15*l - 2*x + 106 wrt l.\nAnswer: -4*x - 4826492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -690736620 to the nearest 100000.\nAnswer: -690700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in -4, 15.2, -6, 0, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -410452*u + 410452*u - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/2019745 and -73\/337750.\nAnswer: 100987250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -9170 at least -192590\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2042331 (base 6) in base 3?\nAnswer: -12000212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000020831 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (4 - (-4 - -3) - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 14*c**2 - c - 1. Let m be l(-1). Let o = 32 - m. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -6008*q - 6014. Give b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 16712.017231 rounded to the nearest one hundred?\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 5 = -5*p + 10, -3*p = 2*i - 3. Suppose 3*m - 7 - 8 = i. Let h(f) = f**2 - 6*f + 4. What is h(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 3*p**2 - 2*p - 5. Let s(z) = z**2 + z + 1. Let m(w) = k(w) - 4*s(w). Let i be m(-7). Let g be 1\/(-4) - 52\/i. Solve -2*a = -3*a + g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 3 - 4)*(0 - 1 - 2)*(12 - 12 + 5*o) to the form x + l*o and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 330 (base 7) to base 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -367.783196 rounded to the nearest integer?\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2609416\/9 at least 289936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, l: 1, b: 1, c: 2, r: 1, o: 1}. What is prob of sequence qo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8130874 nanometers in meters?\nAnswer: 0.0000000008130874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10102101 - 102011111?\nAnswer: -112120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence io when two letters picked without replacement from idldiolii?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - l + 63, -3*k = -6*k + l + 107. Is (k\/(-4))\/((-1)\/118) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 17 - 15. Suppose g = -f + 25, 4*f = b*g - g. Let v be (g\/(-16))\/(3\/(-12)). Solve v*m + 2 = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -144*f + 145*f = -5*o + 244, -5*o = -f - 236 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 31\/5 of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o + 8. Let a(d) = d**3 + 3*d**2 - 7*d - 6. Let n be a(-4). Suppose 3*r = -2*l - 25, -n*r + 8*r + 5 = l. Determine y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 123223221 + 301?\nAnswer: 123230122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 - 8*l**2 - 8*l - 10. Let p be x(-7). Let q(w) be the second derivative of -w**5\/20 - w**4\/3 - 5*w**3\/6 - 3*w**2\/2 + 1270*w. Determine q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1593 (b) 2 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 48 - 324*b + 174*b - 1613*b + 363*b - 776*b. Let i be n(23). Round i to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.45 - 0.18. Let n = y + -0.03. Let h = 0.95 - n. What is h rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 939, 7371, 24793, 58701, 114591?\n\"Answer: 916*v**3 - v**2 + 23*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y + y + y)*(-6*y**2 + 12*y**2 + 13*y**2) - 2*y**3 - 3*y**3 + 7*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13*m**4 - 6422760*m**3 + 10*m**2 + 12620219 wrt m?\nAnswer: -312*m - 38536560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0\/(2 + 1\/(-1)). Suppose x = -5*l + 15, -5*a - l = -8*a. Is (-5)\/(5\/(-22)) + a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20395 + -0.4?\nAnswer: 20394.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 43292606 to the power of 1\/2, to the nearest integer?\nAnswer: 6580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**2 + 1 - 1)*(-47*u**2 + 22*u**2 - 11*u**2).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -102, -156, -168, -138, -66?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 - 88) + (1 - 4). What is the units digit of s\/(-9) + 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -110 times -0.09?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -31030466 + -36?\nAnswer: -31030535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:51 AM and 1:24 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 16 - 2bb7?\nAnswer: -2ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -26081*v**3 - 3571*v**2 wrt v.\nAnswer: -156486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-10)\/6)\/((-2)\/(-12)). Let s = p + 12. Suppose -s*r + 7437085 = -6562915. What is r rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23\/28 + -745\/924. Let r(v) be the third derivative of 0*v - 22*v**2 + 0 - i*v**4 + 8\/33*v**3 - 1\/330*v**5. Factor r(g).\nAnswer: -2*(g - 2)*(g + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 47549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101 + 100010?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -115, -466, -1053, -1876, -2935?\n\"Answer: -118*v**2 + 3*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-18)\/4)\/(6\/(-4)). Let o be -1*(m - (27 + 2)). Suppose o = 7*k - 30. Calculate the least common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 86258 and 31405936?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 3*z**2 + 3*z - 3. Let u be n(2). Let d = 107 + 28. What is the highest common factor of d and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 - 5*a**2 - 2*a + 1. Let z be b(-5). Let t = 225 + -160. Let k be (-1 + z)*26\/t. Let n(p) = -2*p**2 + 6*p - 1. Determine n(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xbxjxbbbxxxxjb?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -10*p + 72. Calculate z(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 162 + -813\/5. What is the biggest value in 15, 3\/2, j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g + 4*g + 0*g)*(3*g**3 + 4*g**3 + g**3).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the third derivative of 0*m**3 + 25*m**2 - 1\/6*m**5 + 1\/8*m**6 + 0*m**4 - 1\/42*m**7 + 0 + 0*m. Determine v, given that g(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 535 + -494. What is the remainder when 89 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -2*i. Let n(q) be the third derivative of 9*q**5\/40 + 29*q**3\/6 + 16*q**2. Let u(z) be the first derivative of n(z). What is m(u(w))?\nAnswer: -54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11124 and 4443420?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 23293753537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 36568 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + 0 + 0)*(267849*u**4 + 265831*u**4 + 3*u**2 - 530351*u**4).\nAnswer: -6658*u**5 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -573 or 1\/3?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 80 and 49776?\nAnswer: 248880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -12*b + 9686 - 3*b - 9846 + (-3 - 4 + 4)*(-b - 2*b + 2*b) as s*b + f and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 17*d**2 + 200*d + 5. Determine v(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 488 = -441. Calculate the remainder when k is divided by (-2)\/((-27)\/24 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of -2*q**5\/5 - 22*q**3\/3 + 18. What is the third derivative of g(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -1316\/4741?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 774*v**3 - 4*v**2 - 42*v + 4 wrt v?\nAnswer: 4644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/3)\/((12894\/(-5040))\/307)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-29400)\/675 - ((-273)\/13 + -21)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -5*c**4 - 65*c**3 + 260*c**2 + 4160*c + 3840 = 0.\nAnswer: -12, -8, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 93573506*d**3 + 93573497*d**3 - 187147002*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(306)\/(sqrt(6)*-3*-5))\/(sqrt(48) + sqrt(48)*-1 + (sqrt(3) - -4*sqrt(3)*-1)).\nAnswer: -sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 2092 divide 1049299084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - 11*p**2 + 2*p - 12. Let h be 5 + -6 - 5 - -14. Suppose -w - h*w = -99. What is i(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/6*-8)\/((-15)\/(-9))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1164582\/14065 + 82*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0010998645 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/3))**(-7)*t\/((t\/((t\/t**1)\/t)*t)\/t)*t*(t\/t**(-4))\/t assuming t is positive.\nAnswer: t**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 10 = 5*u. Suppose 0*w = u*w - 46. Suppose -10 = -3*f + w. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*i**2 + i**2 + 2*i**2)*(-104*i - 46*i**2 + 104*i).\nAnswer: 322*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -503*l - 250 = -508*l. What is the greatest common factor of l and 925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -220b + -1a67?\nAnswer: -3c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 - 20*b - 22. Let j be a(-19). Let f be (-6)\/(-4)*(5 + j). Let x = 6 + 1. Solve 2*z + f - x = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 1)*(2*a**3 - 2*a**3 + a**4) + (2 + 86*a - 2)*(-2 + 11*a**3 + 2).\nAnswer: 948*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the first derivative of 0*h + 1\/6*h**4 + 2\/3*h**3 - 1\/120*h**6 - h**2 + 1 - 1\/20*h**5. Let f(x) be the second derivative of n(x). Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the first derivative of -2*w**6\/3 + 3*w**4 - 8*w**3\/3 + 6. Factor x(g).\nAnswer: -4*g**2*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*s**2 - 2*s**4 - 7*s**2 - 4*s + 4*s - 3*s**4 + 0*s**4 + 2*s**4 + 2*s**4 + (0 - 3 - 6)*(s**4 - s**4 + s**4).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, 0.4, -0.22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2747*a + 2766*a - 551 = 0 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g**4\/7 - 18*g**3\/7 + 2594*g**2\/7 - 27390*g\/7 + 10800 = 0. What is g?\nAnswer: -45, 5, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w - 4*i - 17 + 3 = 0, -w + 2*i = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 70763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 637, 1565, 2779, 4279, 6065, 8137, 10495?\nAnswer: 13139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/14*1*-7. Suppose -5*y = -x*g + 1, 5*g - y - 3 - 11 = 0. Solve 8*z + 15 = g*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(-5)*(-8)\/(-4044). Let p = 122987\/15165 - u. Find the common denominator of -1\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 354 and 210807.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 890960072 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -31590383*h**4 - 97869235*h**2.\nAnswer: -758169192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4.25 + -4.346. Let p = -0.044817 - 0.051226. Let m = b - p. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + -74?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (812\/(-464))\/((-8)\/352)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve x = 2*n - 42, 5*n + 226*x - 4284 = 184*x + 144*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -125 - -149. Let v(s) = -11*s - 29. Let f(u) = -4*u - 10. Let i(o) = 8*f(o) - 3*v(o). Let b be i(5). What is the greatest common divisor of l and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 3*m + 17. Let i be d(-13). What is the hundreds digit of 4\/(-22) + 276*(-37)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:13 PM and 11:46 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -3, -5*p - 7 + 30 = 2*s. Suppose -21 = 4*l - 7*l - 3*r, 5*l + 2*r - 47 = 0. What is the smallest common multiple of s and -6 + -1 + l + 26?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 24 - 8 = 0. Let j = -0.041 + -0.459. Which is the third biggest value? (a) l (b) -2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 222 (base 12) to base 10\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -176, 0.11, -18\/7.\nAnswer: -176, -18\/7, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67 = -5*m + 3*d, -2*m - 2*d + 47 = 3*m. Let k = 15 - m. Suppose 4*i = k, -3*s - 17 = -6*s - 5*i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2. Let p(m) = -443*m - 1. Determine p(t(j)).\nAnswer: 443*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -128383*q**4 + 2*q + 41187 wrt q?\nAnswer: -1540596*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*w + u, -2*w = -w + 5*u + 11. Suppose -w*s - s + 20 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 357*n - 7511. Determine k(21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 1\/4, 1\/2, -459?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 13665.4 + 0.4.\nAnswer: 13665.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000777609792 rounded to 7 decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/3 + 20090*g\/3 + 31140224.\nAnswer: -2*(g - 13504)*(g + 3459)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -31 - -31. Let p(z) be the second derivative of s*z**2 + 0 + 2*z + 0*z**3 - 1\/5*z**5 + 1\/3*z**4. Find the third derivative of p(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3411? (a) 1 (b) -2 (c) -4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1484, 1092, 700?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2*q**2 - 153*q + 5. Let f(v) = -v**2 - 75*v + 3. Give 9*f(s) - 5*r(s).\nAnswer: s**2 + 90*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2332264?\nAnswer: 2, 11, 17, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ph when two letters picked without replacement from {o: 3, h: 10, p: 2, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - (4 - -1))*(-1 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -50 + 53. Suppose 4*h - 8*h - f*i = 14, -3*h + i = 4. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559.3333 centimeters in meters?\nAnswer: 5.593333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*(p**(1\/2)*p)\/p)\/p)**(1\/21)\/(p**(1\/2)\/p*p\/p**3))\/((((p**1*p)\/p)\/p)**(-42)\/(((p*p*((p**2\/p)\/p)\/p)\/p)\/(p\/(p*p\/p**(-4)*p*p)))) assuming p is positive.\nAnswer: p**(200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -83 - -80. Which is the second smallest value? (a) -9 (b) d (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2386422 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 35 = 7*a. Let y(r) = 15*r - 4 - 31 - 6 + 13 - 10. What are the prime factors of y(a)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 - 6*k**2 - 3*k - 8. Let w be j(-6). Calculate the greatest common factor of w and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 2*l + 3 - 25 = 0, 3*x = 4*l. Find the first derivative of x + 2*i + 3*i - 24*i - 30 wrt i.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 35049 is divided by 1023.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2493 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -125*s = -121*s - 3*p + 20, -28*s - 140 = -5*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1\/6640 (c) 2 (d) -1.2 (e) -1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1547125 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 151\/93 - -311\/6510. Let i = 4703\/282 + -118\/47. What is the common denominator of n and i?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**2 + 8*y + 4. Determine n(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1363151 - 5?\nAnswer: -1363156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65755332.\nAnswer: 2, 3, 1826537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 - 2) + (-5 - -9 - -142351902). Suppose 5*w + 10 = 0, 3*x = -x - 4*w + h. Suppose -7*j - x = 39312022. What is j rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 368*v**2 + 105*v**2 - 202*v**2 + 175*v**2 + 380*v**2 to h*v**2 + m + n*v and give h.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/211 in 5, 4, -10\/441?\nAnswer: -10\/441","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 352 + -348. Which is the fourth smallest value? (a) -15 (b) -0.3 (c) o (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 51.4 + 14.6. Let d = -38 + n. Let u = -28.00000019 + d. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 15914*r**2 - 6072 wrt r.\nAnswer: 31828*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4e31 + -c?\nAnswer: -4e3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(2\/9))**(-14)*v**10*v*v*v*v\/(v\/(v\/(v\/v**(-1\/3))*v)*v*v*v) assuming v is positive.\nAnswer: v**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -44551 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 11:01 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 4*y**3 + 1488*y**2 + 2*y - 8. Let c(v) = -15*v**3 - 4463*v**2 - 7*v + 28. Let o(a) = 4*c(a) + 14*q(a). Find m such that o(m) = 0.\nAnswer: 0, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -7 (c) -1.911 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - 63*s + 2675 - 1925 = 1703, -j - 41 = 3*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 95691.36 grams in micrograms?\nAnswer: 95691360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 108901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (5*(-1)\/(-10))\/(154\/(-168))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2001 by -3.\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -8*z - 3. Is f(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 2 - 4)*(-9662*d**2 + 6567*d**2 + 5833*d**2).\nAnswer: 5476*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132)\/sqrt(48))\/(2*sqrt(4)*-4 - sqrt(4)))**2.\nAnswer: 11\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c**2 - 2*c**2 - 2*c**2 + (3 - 3 + c)*(2*c - 2*c - c))*(15*c**2 - 2*c**2 - c**2).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (2*(-2 + sqrt(15)\/sqrt(3) + -2 + 5))**2.\nAnswer: 8*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1214 - 1212.8. What is the closest to 7 in -4, -3, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**2 + 9*b + 1. Let v be i(10). Let k = v - -11. Solve 4 = -2*n + t, k*t = n + 3 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 128 divided by 6.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2143683 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*f + 4. Calculate the lowest common multiple of 10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -225 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 553 - 328. Suppose 0 = -v + 29 + g. List the prime factors of v.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 + 5*l**2 + 2. Let x(j) = j**2 + 18*j + 5. Let v be x(-18). Let u be t(v). Suppose -11 = -u*k + 21. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 17595, 28138, 38681?\n\"Answer: 10543*c + 7052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l - 12*l**3 + 29*l**3 - 16*l**3 - l**4 + 2*l**4 - 22*l**2 to the form h*l**3 + y*l + o*l**2 + r*l**4 + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 350 is divided by 90.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 23.52 * 0.06.\nAnswer: 1.4112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-8 + (-2 - -8))\/1. What is the closest to 2 in 1.4, v, -0.4, 0.3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 286433?\nAnswer: 7, 17, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -14225 and -0.5.\nAnswer: 7112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f = -105*q + 123*q - 142, 0 = -3*q + f + 23 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06 + -25368002657?\nAnswer: -25368002656.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 AM and 2:02 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 142004\/27 + -5258. Find the common denominator of w and -145\/1542.\nAnswer: 13878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 41*a**2*u*v - 4*a**2*u - 16352*a**2*v + 13*a**2 + 3002*a*u*v wrt u.\nAnswer: 41*a**2*v - 4*a**2 + 3002*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -77*s + 2*q + 758, 2*s - 2*q = 4*s + 3 - 9 - 26 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -8+-2.106\nAnswer: -10.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(180) + sqrt(180))**2 + -1 - (sqrt(180) + -1*sqrt(180)*4 + sqrt(180)))*3.\nAnswer: 36*sqrt(5) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1072353 and -123.\nAnswer: 13.1899419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-3)*(-351)\/(-273)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w**3 + 30 + 15*w**2 - 3*w**3 - 104 - 5*w**2 + w - 9*w**2.\nAnswer: -2*w**3 + w**2 + w - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1.548 plus 20981612.76?\nAnswer: 20981614.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 248 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 273700*o. Let x(h) = -2*h. Determine z(x(p)).\nAnswer: -547400*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 577445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -76.63273 rounded to 1 dp?\nAnswer: -76.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*s - 6*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -20709b7 (base 13) in base 14?\nAnswer: -14477a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ikk when three letters picked without replacement from kikrinnnknnink?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 6*y + 336. Let c(j) = 4*j + 112. Let i(s) = 14*c(s) - 5*f(s). Differentiate i(o) with respect to o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -118679362 rounded to the nearest 10000?\nAnswer: -118680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes before 7:07 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-15 + 25 + -1 + -31)*2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Round -16744.569 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 3721532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -6*l**2 - 910*l + 7. Let f(q) = 26*q**2 + 3641*q - 31. Determine 2*f(g) + 9*k(g).\nAnswer: -2*g**2 - 908*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -2*f + 3. Let r be s(-1). Suppose 14 = -r*i - 1. Put i, 5, -12, -4 in ascending order.\nAnswer: -12, -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of -31*w**6\/30 - 59*w**2\/2 - 4*w. Find the first derivative of p(u) wrt u.\nAnswer: -124*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 226*l - 120 = 231*l, -15*l + 7 = 7*b + 135 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 35168, 35166, 35164, 35162, 35160, 35158?\n\"Answer: -2*w + 35170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16 + -16. Are f and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -215 - -217. Suppose 4*l - 511 = f, -w*l - 2*l + 5*f + 491 = 0. Suppose 1 + 1 = 2*p. Calculate the smallest common multiple of l and p.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 117*c**6 - 4*c**4 + 343*c**3 + 23555568*c**2?\nAnswer: 14040*c**3 - 96*c + 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = -6*r - 4*v + 3, 4*r - 3*v + 21 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7 and 49753949.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 202 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -233380*q - 231942.\nAnswer: -233380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12862 - 12858. Put -49, -3, a in descending order.\nAnswer: a, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in fifty-seven fifths of a hour?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 21*m + 182. Let q(r) = 6*r + 81. Let j be q(m). Solve 2 = -j*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - 3. Let h(t) = 20*t. Let x be h(n). Suppose 13*m - 17*m + 80 = 0. What is the highest common factor of m and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -27 + 5 + 11 - 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-18))\/(-3*(-21)\/(-14175)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 11:44 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 2 = 2*g. Suppose -v - v = v. Suppose v = -4*u + 45 - 53. Which is the nearest to g? (a) 5 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-3\/8)\/(r**(-1\/2)\/r))\/(r**(14\/9)*r**(-18)) assuming r is positive.\nAnswer: r**(1265\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 z, 1 p, and 1 l when four letters picked without replacement from {i: 2, m: 2, z: 1, p: 1, l: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1836509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 460 and 11615.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5760 and 76620.\nAnswer: 7355520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, z: 1, e: 1, x: 2, t: 1, p: 1}. What is prob of sequence hhe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from {w: 18, y: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 37229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 186551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4.928925 meters in micrometers?\nAnswer: 4928925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 536\/2585 - 6\/235. Let l be -1 - (3\/7 + -2). What is the nearest to 2\/7 in -2\/5, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16? (a) -0.3 (b) -0.2 (c) 1\/5 (d) -0.119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -33 + 34. Suppose 6*y = 5*y. Suppose h - 11 - j = y. Solve q = -2*q + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 PM and 12:41 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find t such that t**4 + 260*t**3 + 12917*t**2 + 98410*t - 250584 = 0.\nAnswer: -197, -53, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = 115\/3 + -39. Which is the nearest to 5? (a) -0.5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -115\/3 + 44. Let f = -193.5 - -201. Let o = 8.5 - f. What is the second smallest value in v, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4 + 4\/2)*-1. Let q = d - 1. Let v = 45 - 181\/4. Is q <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 45*f**5 - 80*f**4 - 65*f**3 + 80*f**2 + 20*f = 0.\nAnswer: -1, -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 - 14*f - 24. Let h be w(-10). What are the prime factors of (h\/3 + -3)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-20))\/((9\/2)\/(-3)*(-1064)\/380).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-8) + 27\/12. Let u(h) = -3*h**3 - 4*h - 5. Let c(d) = 2*d**3 + 2*d + 3. Let p(x) = 5*c(x) + 3*u(x). Calculate p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in -j**2\/2 - 15548656*j - 120880351703168 = 0?\nAnswer: -15548656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 811, 6441, 21715, 51451, 100467, 173581, 275611?\nAnswer: 411375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 + 3*y**2 - 11*y - 3. Let r be t(-5). Suppose 2*c + 8 = -r*c. Let i = c + 41. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 65\/(-195) + -1*(-39)\/9. Solve -3*j = 2*h - 13, -3*j + c*h + 8 = 5*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1669040\/33 or -50577?\nAnswer: -1669040\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1795*i = -1810*i + 90 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 2*h - 1965 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18.4 - -16. Let w = 2 + h. Let n = 3 + -3.5. Sort 0.4, w, n.\nAnswer: n, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 3 + 9345*q**2 - 9411*q**2)*(-4*q**2 - q**2 + 3*q**2).\nAnswer: 132*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (((-2 + sqrt(396)*-2)*-5 - (2 + (-2 + 2*sqrt(396) - sqrt(396))))*4)**2*-4.\nAnswer: -2059265 - 69120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -19 + (-11 - -5 - -17) - 25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 35\/((-1120)\/(-24))*56\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1092 = 38*u + 14*u. Calculate the highest common divisor of u and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124401 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 186 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1070*j = 1011*j + 5782. What is the lowest common multiple of j and 133?\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(180) + 4 + (sqrt(180) + 0)**2).\nAnswer: -184 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 - -2. Let s be 10744\/237*2\/(-24) + 2\/(-9). What is the closest to 3\/20 in v, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**2 - 6*k + 111. Let u be t(8). Which is the nearest to -0.2? (a) -0.4 (b) -0.0719 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19029 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50319225 - 1912170.\nAnswer: 48407055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 251*y - 14367176 = 115*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-20655)\/(-25) + 12\/(-10) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(17) - sqrt(17)*2) + sqrt(17))*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in sixty-one halves of a millennium?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -44 + 46. Find the second derivative of 141*y - 9*y**2 - 125*y - 10*y**l wrt y.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - 6241*s + 17 + 15 + 25567*s + 12*s**2.\nAnswer: 12*s**2 + 19326*s + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**3 + 4*n**2 - 4*n**2)*(0*n - 5*n + 2*n) + 4*n**2 - 4*n**2 - 4*n**4 + (0 - 5 + 4)*(n**4 - 5*n**4 + 2*n**4).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 + 4. Let u be c\/(-21) + (-26)\/(-7). What is the second derivative of -4*r + 5*r - r**u - 3*r**4 wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -39 or -40?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide (-47)\/141 - (-1802)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1844*k + 1845*k + 7 = f, -7*k = -5*f + 47 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -3 + 1 - (-16 + 18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/334464 and 89\/3511872?\nAnswer: 7023744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-5*(sqrt(405) - (0 + 2 + sqrt(405)) - (sqrt(405) + 4 + sqrt(405) + -5))**2.\nAnswer: -32420 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dodivlvldlsvvv. Give prob of picking 1 v and 2 l.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 8 = 3*h. Let f be (-186)\/h*(-4)\/3. Suppose 5*i = k + f + 137, -3*k - 12 = 0. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 3*g**2 - 22*g + 4. Let z be q(7). Let y be (-1)\/z - (-9262)\/33. Suppose -4*x - c = -y, 0 = 3*x + 5*c - 189 - 9. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 + 29. Suppose t - 5*t + 10 = -a*q, 2*t - 4 = 2*q. What is the second derivative of -29*j + 24*j**2 - 2*j**q + 4*j**2 + j**2 wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7726969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 984 + -2628. Let o = n + 2869. What is o rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -3*l - 5. Is j(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -169*q + 126. Let c(z) = 55*z - 184 + 120*z - 70 + 190*z - 26*z. Let x(y) = 4*c(y) + 7*w(y). What is the derivative of x(s) wrt s?\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 20824 divided by 137\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*((z*z*z\/(z**(-4\/7)*z))\/z)\/z*z*z**(-6\/5)*z*z**(-10)\/z**(-16) assuming z is positive.\nAnswer: z**(293\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -331 - -344?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -30 + 2*q**4 - 8*q**4 + 29 + 5*q**2 + 2*q**4 + 2*q**3 in the form c*q**3 + m*q + g*q**2 + x + b*q**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(2\/7))**(3\/8)*x**(-5)\/((x*x*x**(5\/4))\/x))**(-15))**(3\/7) assuming x is positive.\nAnswer: x**(2250\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10100001320 - 3?\nAnswer: 10100001311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 12 = 2*n, 2*b + 3*n = 4*n + 15. Suppose 0 = s - b. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 600\/(-960)*2\/(-5). Which is the fourth biggest value? (a) -2 (b) y (c) 1 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5\/30*12 + -1 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 4*y + 67. Give f(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23672 is divided by 3327.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3)\/2)\/1)\/((-17172)\/(-469368))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 g, and 1 d when three letters picked without replacement from {g: 2, c: 2, d: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8389 - -8404. What is the smallest common multiple of h and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/6)\/((-78)\/117)*(-6486)\/138.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 369\/(-1242) + (-2)\/(-12). Let g = c - -29\/46. Factor 1\/2*k**3 + g*k**2 - 1\/2 - 1\/2*k.\nAnswer: (k - 1)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33 or 3.3714?\nAnswer: 3.3714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of -b**6\/120 - b**5\/15 - b**4\/8 - b**2. Suppose 2*r = 2*t - 4, -3*r = t - 2*r + 8. What is d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of a**4\/4 - 2*a**3\/3 + 2*a**2 - 13*a - 35. Let c be b(3). Solve 3*o + c = 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 35.51 - 36. Let r = n + -25.51. Let s = r + 26.0000085. What is s rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 32*i**4 + 83*i**3 - 13*i**2 - 98*i wrt i?\nAnswer: 768*i + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 + 44. Let t = 35 - c. Solve -l - t + 7 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-340)\/5 - (268\/(-22) - ((-1050)\/(-275) + -4))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 117*f - 24 = 125*f. What is the units digit of 2799\/36*-2*6\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -69.053 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(38) + sqrt(152)\/sqrt(4))*3)\/((sqrt(50) + sqrt(150)\/sqrt(3))*2).\nAnswer: -9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 580 divide 1978380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 + 296\/(-111))\/(23\/(-18) - 12\/(-12)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 + 6*y + 2. Let o be d(6). Factor 2\/5 - 4\/5*f + 2\/5*f**o.\nAnswer: 2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -22 (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.018 - 0.118. Let b = 14.1 - 0.1. Let i = -14 + b. What is the second smallest value in i, z, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79307 less than 78499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 64 + -83. Let r = 19 + x. Suppose -3*g - 58 + 619 = r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s - 9 = -0 + 11, -v + 2*v - 26*s = -27*s - 1 + 5 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1716 by -11.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 24715033 to the nearest integer?\nAnswer: 4971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n + 1. Suppose 3*j - 30532 = 26009. Let z(o) = -j + 2*o + 18847. What is 2*f(s) - 2*z(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 + 14. Let x = 2 + 0. Suppose 0*p + p + o = -w, -x*w + p = 11. Sort w, -6, 5 in increasing order.\nAnswer: -6, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22d (base 14) in base 15?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1377) + 0 + -1.\nAnswer: -1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 268 - 268.1. What is the closest to -1 in 5\/2, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i + 6. Suppose 0 = 9*o - 7 + 88. Give c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 AM and 6:27 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 6 + (-7 - -2) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (-41 - -30 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**3\/3 - 2098*n**2\/3 - 126040*n\/3 - 1778744\/3 = 0.\nAnswer: -986, -41, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9802552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {r: 3, u: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - -4 - -6) + (-6 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3542014 + 5514?\nAnswer: -3532100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 9*m + 25. Let z(r) = -125*r - 350. Let q(n) = -55*w(n) - 4*z(n). Does 20 divide q(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13723063 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/55710 and -149\/49515048.\nAnswer: 247575240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -150 - -154. Suppose 6*r = 2*r - 68. Let o = r + 20. Solve -b = o*a + 12, k = -a - 4*b + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 260829991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - -8 - 5 - (-3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 3 = q + 4, 4*q + 18 = -2*i. Let z be (5 - 0\/(-1))\/1. Let s = 1 + -5. Put i, s, z in decreasing order.\nAnswer: z, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1861880 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: Calculate the common denominator of -59\/930 and 7\/150.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 669757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 934 and 2335?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/258 and 41\/29025?\nAnswer: 58050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 - 157236*m + 157236*m - 5*m**3 to k*m**2 + g*m + c + n*m**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the first derivative of 7*k + 1 - 3*k**2 + 0*k**3 - 3\/2*k**4. Find the second derivative of w(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138 is divided by 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 74213021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 268 + -143. Let q = y + -55. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23*-40036.\nAnswer: -920828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1712*o**3 + 60*o**2 + 923*o + 427063567 wrt o?\nAnswer: 5136*o**2 + 120*o + 923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 51218 = 29482. Let b be 4 + (0 - 4) + i. What is b rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - o = 0. Let k(p) = -p**2 - 5*p + 2. Let c be k(-5). Let w(u) = 3 - u + 0*u**3 + c*u + 2 + u**3. What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + h**3)*(15*h - 11*h - 8*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - 114*s**2 + 420*s + 212. Let o be r(4). Determine g so that 2\/5*g + 1\/5*g**2 + 1\/10*g**o - 2\/5*g**3 - 3\/10 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + 6*g - 3*g)*(4 - 1 + 1) + (-4 + 5 + 1)*(-7*g - 5*g + 8*g) + g - 4*g + g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**2 + 31*p**2 + 11*p**2.\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2*(-14)\/8*(15 - 7). Suppose -24 + l = q. Suppose c - 200 = q*t, -2*t = -3*c + t + 627. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -j**2 - 505191*j + 505192 = 0. Calculate j.\nAnswer: -505192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13\/1)\/(26\/(-234)*9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.8, 3294, 6\/11 in descending order.\nAnswer: 3294, 6\/11, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 1, -0.406, -5, 1\/6, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6637 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-204)\/(-680) + (-34)\/(-20). Let q(l) = l**2. Let b(r) = -2*r**2. Determine t*b(z) - 4*q(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -7*m - 88260764. Let j(c) = -c. Determine j(v(l)).\nAnswer: 7*l + 88260764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -45447, -45464, -45483, -45504, -45527, -45552?\n\"Answer: -n**2 - 14*n - 45432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**2 - 3*h**2 + 4*h**2 - 1 + 1 + 3*h**2 + (-h + 2*h - 3*h)*(-1 + 1 - 3*h) - 2*h**2 + 7*h**2 - 3*h**2)*(3 + 0 + 7).\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2259*d**2 - 6826*d. What is m(3)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1322388, -1322390, -1322392, -1322394, -1322396, -1322398?\nAnswer: -1322400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -11*d**2 + 28*d + 2. Let a(s) = -20*s**2 + 60*s + 4. Calculate -3*a(o) + 5*l(o).\nAnswer: 5*o**2 - 40*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4237 + -4234.6832. What is c rounded to two decimal places?\nAnswer: 2.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.040434 and -4367.\nAnswer: 176.575278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1929?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 7*u**2 + 135*u + 1030. Is y(-53) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - (4 + -22 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -88, -0.4, 5, -38, -96?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 350 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**2 + 6*f - 2. Let g be m(5). Let d be 29 + (-3)\/(-9)*g. What are the prime factors of 4\/(-10) + 612\/d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 3*a - 4*a - 3 - 4 - 1. Let c be d(-11). Is c greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 11923968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 93179 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 28804983 = 27595017. What is s rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8, -11, -30, -49, -68?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*m**3*n*r**3 - 15*m**3*n*r + m**2*n*r**2 - 4*m**2*r**2 - 23*r**3 wrt m.\nAnswer: 36*n*r**3 - 90*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 AM and 1:47 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*q**3 - 14182055*q**2 - 10056356923120*q + 251417786940500.\nAnswer: -5*(q - 25)*(q + 1418218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3604, -3613, -3628, -3649, -3676, -3709, -3748?\nAnswer: -3793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-119)\/(-14))\/(-17)*20\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 88315 and 1530.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1265, 1289, 1313, 1337, 1361, 1385?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/(-27))\/(5\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -116 or 185?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16.97 + -21.4. Round c to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7501189, -7501143, -7501097, -7501051, -7501005, -7500959?\nAnswer: -7500913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 5 - 29*l**2 - 32*l**2 - 31 + 11*l + 60*l**2. Let o be p(4). Calculate the highest common factor of 18 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of 2*u**5\/5 + 17*u**4 + 7*u**3\/3 + 4*u**2 + 350. What is the third derivative of f(c) wrt c?\nAnswer: 48*c + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -73 + 344*q**2 + 2 + 4 + 10*q + 67.\nAnswer: 344*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (34\/(-105))\/((-4)\/(-6)). Let x = b + 1\/5. Let g(r) = -r + 1. Let y be g(2). Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -8*t. Let z(j) = 316 - 316 + 2*j + 3*j. Give p(z(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 5964, 12000, 18190, 24612, 31344, 38464, 46050?\n\"Answer: 13*y**3 - y**2 + 5948*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 2*c**2\/5 - 2326*c\/5 + 191172\/5 = 0.\nAnswer: 89, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 165792 a multiple of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 + 5*w - 2. Let k = -10 + 17. Let s = k - 15. Is d(s) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5313453 less than 27?\nAnswer: -5313426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1147, 1201, 1255, 1309, 1363, 1417?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 329630 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -14594.9 and 12.\nAnswer: -175138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -4*b**3 + 2*b**2 - b. Let p be w(1). Let k be ((-4)\/p)\/((-4)\/(-6)). Suppose 6 = k*j - a, 0 = 4*j + a - 13 - 11. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*r - 139 + 19 = 0. Solve -g + r*h = h - 6, 4*g + 2*h = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 385 + -275. Calculate the greatest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 707501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 6406 by -5.\nAnswer: -6406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-1\/5)*(u*((u\/(u\/((u**16\/u*u)\/u*u))*u)\/u)\/u)\/u)**38*((u**5\/u)\/u*u)\/(u\/(u\/((u\/(u*u**(2\/13)))\/u))*u)*(u*u**(-1))**33 assuming u is positive.\nAnswer: u**(36826\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 135*r - 492 + 7782 = 0 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12 - -17. Suppose -3*w - a*o = -21, 7*w - 2*o - 4 = 2*w. Let n = 0 + w. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 - (281 + -295) - (-23 + 1 - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1505 + 3*f + 1505.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is (222\/(-9))\/((-8)\/(-732)*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*i**3*s**5 - 10*i**3*s - i**2 + 2*s**5 - 14*s wrt s.\nAnswer: 280*i**3*s**3 + 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 41a1 (base 11) to base 14.\nAnswer: 204c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 7*d**2 - 18*d + 10. Let q(l) = -10 + 17*l - 2*l**2 + 5*l**2 - 9*l**2. Let o(p) = -4*j(p) - 5*q(p). Is o(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 1806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 2*i = 40. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11670*g - 1344*g - 7875*g.\nAnswer: -20889*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 352, 358, 352, 328, 280, 202, 88, -68?\n\"Answer: -w**3 + 13*w + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 9. Let o(j) = 68*j**3 - 6*j**2 + 2*j - 76. Let l(t) = -o(t) - 7*z(t). Find the second derivative of l(d) wrt d.\nAnswer: -408*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - -3)\/(170\/30 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -1, 4, 8450?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 d, 1 n, and 1 s when four letters picked without replacement from {q: 1, b: 5, n: 5, a: 2, d: 1, s: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (1 + sqrt(7))*-4)**2 + -1.\nAnswer: 56*sqrt(7) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 - 9*v**2 - 87*v + 248. Determine j(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-4\/19)\/((k**(1\/68)\/k)\/k)*(k**37\/k)\/k**24 assuming k is positive.\nAnswer: k**(17797\/1292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*d - 3*d - 9. Solve -2*z - 1 = -3*v, 8*z - d*z + 31 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 451623 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the third derivative of -17*n**5\/2 + n**4\/2 - n**3 - 79*n**2 - 2*n. What is the second derivative of k(h) wrt h?\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 + 3. Let c(q) be the first derivative of 2\/3*q**3 - 2*q + 0*q**o + 1. What is the first derivative of c(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -2*l + 4*d, -2*l + l - 3*d + 40 = 0. Suppose -2*n + 4*n - 20 = 0. Suppose 0*u + 70 = n*u. What is the highest common divisor of u and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11826923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -0.02 (b) 31 (c) -33\/5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 840, 1592, 2338, 3084, 3836, 4600, 5382, 6188?\nAnswer: 7024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33 + 24. Let j = 8.5 + -0.5. Let k = j + f. Which is the second biggest value? (a) k (b) -0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/7 - 4896*t**2\/7 - 19647*t\/7 + 24540\/7.\nAnswer: 3*(t - 1636)*(t - 1)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -6 - ((-8384)\/2 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1624 - -1728. Calculate the highest common divisor of k and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*i - 319649 + 159812 + 159837.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 460*o**2 - 41*o**4 - 227*o**2 - 3136*o - 232*o**2 wrt o.\nAnswer: -492*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 40\/22 - 5\/((-220)\/8). Which is the nearest to 4? (a) -8 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*a**4 - 168*a**3 + 168*a**3 + (-1 + 1 - a**4)*(-1 + 2 + 0) to the form i*a**3 + f*a**4 + h + l*a + g*a**2 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + 1)*555\/(-10) - ((15 - 35) + 8)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.11699 in -1\/5, 2\/7, -0.5, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -112 - 178.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jgr when three letters picked without replacement from bpnnjjrbjpgp.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/3294 and 23\/81.\nAnswer: 9882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16378945*d + 179176452*d + 59698973*d.\nAnswer: 255254370*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 34 - 34 - 10*x + (-x - x + 0*x)*(-3 + 0 + 4) - 29*x + 47*x - 41*x in the form t + m*x and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 588 divided by 2?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-1 + sqrt(720) + 1*sqrt(720) - 4*(-1 + sqrt(720)))*-4.\nAnswer: -96*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 37 and 6179.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (2 - 0) + (5 - (8 - 9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35) + 2*(sqrt(35) + sqrt(875)))\/sqrt(7).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -4*t - 8*t + 0*t + 14*t - 3*t. Let n(c) = 154*c. Give n(m(g)).\nAnswer: -154*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 - 5*t**2 - 7*t + 5. Let o be b(6). Is (-2554)\/(o*(-4)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - (-2 - 7)) + (-6 - (-3 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 203337 divided by 1\nAnswer: 203337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2134632 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*r**3 + 560*r - 448*r - 21*r**3 + 1044*r.\nAnswer: -2*r**3 + 1156*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17 - 0) + -2820 + 2940.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*t**3\/3 - 55*t**2\/3 - 155*t\/3 - 35.\nAnswer: -5*(t + 1)*(t + 3)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -206*q**2 + 6*q - 6. Let u(y) = 153265*y**2 - 4466*y + 4466. Calculate 4466*c(w) + 6*u(w).\nAnswer: -406*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 64297.6 nanometers in centimeters?\nAnswer: 0.00642976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 48 = -6*d. Suppose -2*z + d = 18. Solve 2 = 3*n + s + 17, -3*n = 3*s + z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - 5*y**2 - 5*y - 4. Let l be o(6). Suppose -2*f - 32 = 38. Let k = -19 - f. Solve k = 2*u + l*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ixiiiixxxiiiuiixxxii. Give prob of picking 1 u and 1 x.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14948 and 507222?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + 2)*3)**2 - (5 + -4*sqrt(7)) - (-2 + (sqrt(7) - -1*sqrt(7) - sqrt(7)) + 3 + sqrt(7) + (sqrt(70) - sqrt(70)*-2)\/sqrt(10))**2.\nAnswer: -82 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 3214422 (base 5) to base 10.\nAnswer: 54362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = 5*i - 4*i. Suppose 3*d + 2*d = i. Calculate the least common multiple of 5 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/9 and 8\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 14*a + 17. Let d be y(-5). Let o = 357 - d. Let p = -147 + o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*r**2 - 26*r**2 - 7*r**2 + 108 - 71 with respect to r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 487*b + 5524 = 16238 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.02 in -0.1, -116, 1\/4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = 3*f + 13, -6*f - 8*p + 13*p + 49 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1455842109 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ull when three letters picked without replacement from {l: 4, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 33, 31, 29, 27, 25, 23?\n\"Answer: -2*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*n + 95*n = -96*n + 186*n + 2100 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/11*(13 + -11)\/(-4).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 10988*y**2. Let w(v) = 7*v + 185. Let i(b) = 18*b + 481. Let l(f) = -5*i(f) + 13*w(f). Calculate z(l(u)).\nAnswer: 10988*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**11\/p**(-2\/31)*p**(-5\/7)*p**(-2\/65))**(17\/5) assuming p is positive.\nAnswer: p**(2474452\/70525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.1 - 1.1. What is the second biggest value in -5, m, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*r - 53 = 45 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 64607 (base 9) to base 13\nAnswer: 16615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 129288228 and 18940.\nAnswer: 3788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27953 - 8447 = -7*n. Round n to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 3)*(-o**2 + 0*o**2 + 3*o**2) + o**2 + 20*o - 20*o + 0*o**2 - 3*o**2 + 4*o**2 + (o**2 + 0*o**2 - 2*o**2)*(2 + 3 - 6) + 4*o**2 - 2*o**2 - o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -7473*j - 545617 = 433346 for j.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, -8, 2 in decreasing order.\nAnswer: 2, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*u - 2*u - 100062 = -8*u. What are the prime factors of u?\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.4, 1.46, 1\/4, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l - 432. Let a(f) = -3*f - 858. Let k(y) = -3*a(y) + 5*p(y). Find the first derivative of k(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from 2.52.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 258006.7 years?\nAnswer: 2580.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.949321 litres?\nAnswer: 3949.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (-2 - (2 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*m + 81*m + 3074 - 194 = 0 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 + n + 7. Let b be i(0). Let x(k) = -16*k + b*k - 437 - 9*k + 389. Is 39 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1369261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1, -0.23, -5, -0.9?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find l such that l**4\/3 - 88*l**3\/3 + 553*l**2 - 1764*l = 0.\nAnswer: 0, 4, 21, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 440 - 105 - 107 - 45*t**3 - 102 - 117 + 13*t**3.\nAnswer: -32*t**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 129 - 309 = 9*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37 + 43. Calculate the remainder when 227 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (0 + 4 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6.01 + -6. Let p = -3.01 + f. Which is the nearest to 2? (a) 4 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 208569079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 115817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*z - 87 = -6. Let m be (-3)\/(3 + z)*-4. Let y = -6 - -5. Sort m, y, -4.\nAnswer: -4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.1 - -4.1. Let m = -3 + o. Let u = 0.9 - m. Which is bigger: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30.1 + -30.2. Put -0.4, x, 3\/2, -1\/2, -3\/32 in ascending order.\nAnswer: -1\/2, -0.4, x, -3\/32, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-2)*s\/(s\/(s**(-1\/2)\/s))*s*s**(-2\/3)\/(s**7\/s) assuming s is positive.\nAnswer: s**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -61300708 and -183902123\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-132))\/(1\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -57897, 4, -2 in increasing order.\nAnswer: -57897, -12, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 3*w = -4163, 4187 = z - 506*w + 503*w. What is the remainder when z is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = -0 - 25, 3*j + k = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2188803 is divided by 128753.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22.2 - 22. What is the nearest to 1 in 0.3, f, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*45\/(-6336)*8*4\/20?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2371\/52 - -183\/4. Put m, 3, -0.4 in descending order.\nAnswer: 3, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -2*d**3 - 2*d**2 + d. Let o be j(-2). Let w be (2\/3)\/(2\/o). Suppose -w*m + 46 = -m. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -8*(0 + (-1)\/2). Let i(h) = 15*h + 60. Let a be i(-4). Solve -p*d + d - 12 = a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -73 + -21. Let x be h\/(-18) - 18\/81. Suppose -4*z + 29 = x*f - 111, -z + 14 = -4*f. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*u + k - 15, 21*u - 23*u + 12 = 4*k for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor n**3 - 7*n**2 - 5*n + 75.\nAnswer: (n - 5)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most -228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -12352, -24557, -36760, -48967, -61184, -73417?\n\"Answer: -l**3 + 7*l**2 - 12219*l - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r + r + 20. Let k be (r\/3)\/(9\/27). Solve k*v = 3*b + 1, 3*v + b = -2*b - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 + 9*p**2 - 12*p - 13. What is s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 6:34 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -57*f**3 - 59*f**2 + 8*f - 8. Let p(g) = 19*g**3 + 20*g**2 - 3*g + 3. Let m(n) = 3*l(n) + 8*p(n). What is the third derivative of m(t) wrt t?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 10283*x - 1744. Is i(8) a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4, 11, -0.02, 0?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4825823 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1543 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from plblmiu. What is prob of sequence bupi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 69\/3433976 and 89\/270088?\nAnswer: 24037832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(-3)\/30*68305\/719?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(1008) + -1 + 4 + sqrt(1008))*-5)**2*3.\nAnswer: 10800*sqrt(7) + 303075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/7 - (-7 + (-12420)\/(-140)). Is -83 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**2\/v*v)\/(v**(-22)*v))\/(v**(-11))**(-1) assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -155\/3058356 and -61\/254541.\nAnswer: 1611753612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -54*n. Let y(s) = -2*s**2 + 1881*s. Determine y(i(j)).\nAnswer: -5832*j**2 - 101574*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/20)\/(((-27)\/6)\/((-795)\/(-53)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 13*d + 453. Determine x(-27).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23562 + 23560. Which is the closest to 7? (a) -4 (b) -5 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) 0.07 (b) 1\/7 (c) 923 (d) 4\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 518 a factor of 1146161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 0, -404, -4, -2\/9?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05659323 rounded to 3 dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27*i**2*t - 2002010*i**2 - i*t + 19694951*t wrt i?\nAnswer: 54*t - 4004020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = c - 4*c. Suppose -59 = -18*g + 49. What is the smallest common multiple of g and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fffeqfenf. What is prob of sequence fnf?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.906 + 1.25. What is q rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nx when two letters picked without replacement from xnllxxxnxlxxlxlx?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -98913 - -197374. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22 - -4053514?\nAnswer: 4053536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -71*m*s**5 - 1069415*m*s - 789*s**6 + s**2 wrt s?\nAnswer: -4260*m*s**2 - 94680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - 0 - 2*-1. Suppose -2*r - 3*r + 4*u + 6 = 0, -2*r = -2*u - a. Suppose -6*i = -r*i - 40. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -137, -133, -129?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, x: 3, v: 6, w: 1, o: 5}. What is prob of sequence xxw?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28 - 32 + 60 - 8*r**2 - 9*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 610449667 + 2.2\nAnswer: 610449669.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2 equal to 39\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 6*z + 652. What is the remainder when q(-29) is divided by 235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4099 + -4098.6. Let l = -0.8 - -0.5. Let s = l + 0.6. Which is the closest to -0.1? (a) 2 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 289967309.\nAnswer: 11863, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8153717.\nAnswer: 11, 13, 19, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-143)\/(-44) + (-2)\/8. Find the third derivative of 0 - 2*w**2 + 2*w**3 + 0 - 11*w**n wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*r**3 - 107*r**2 + 107*r**2.\nAnswer: -81*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of -d**3\/3 + 2*d**2 - 3*d. Determine m(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 5, 6267, 3, -4, -5 in decreasing order.\nAnswer: 6267, 5, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1 - 5 - 6*p**2 + 4 + 7*p wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 6 = -4*m, 0 = m - 0*m + 2*w - 11. What is the biggest value in 7, 3\/5, -5, m?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 10:33 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + 3)*-5*-2.\nAnswer: 10*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1383 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 88, 144, 252, 424, 672, 1008, 1444, 1992?\n\"Answer: 2*n**3 + 14*n**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -59, 136, 1\/10 in descending order.\nAnswer: 136, 0.5, 1\/10, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 460 + -382. Suppose f*y = -454 - 14. Let b(u) = -u - 10. Calculate b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 o, and 2 h when four letters picked without replacement from {h: 4, p: 2, f: 6, r: 3, a: 1, o: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -2997*g**5\/7 - 149853*g**4\/7 - 1705443*g**3\/7 + 4517769*g**2\/7 + 868920*g + 6084\/7 = 0. Calculate g.\nAnswer: -26, -1, -1\/999, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/53 in 2\/3, -2\/21, 0, 13186?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2421 = -5*u - l, -28*l + 29*l = 5*u - 2419. Let g = u - 478. Solve g*h = -h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -383, -1493, -3351, -5963, -9335?\nAnswer: -13473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(77)*-1 + sqrt(77)))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1025007 - 0?\nAnswer: -1025007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12655064 to the nearest integer?\nAnswer: 3557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a - 3. Let q = -206 - -145. Let y = -63 - q. Let v be (0 + y\/4)\/((-17)\/102). Calculate t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 9:57 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**2 - 1724265*r + 67238730.\nAnswer: 5*(r - 344814)*(r - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2 - 7*b + 10. Let u = 24 - 21. Let d be i(u). Let j(a) = 2*a + 3. Calculate j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2017 divided by -5.\nAnswer: 2017\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x - 0 - 24. Let l be 18\/(-24) - (-34)\/x. Which is the smallest value? (a) 0.3 (b) l (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of 8*o**2 + 0 - 5\/3*o**3 - 45*o + 1\/12*o**4. Factor u(b).\nAnswer: (b - 8)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 164 times -134.7018\nAnswer: -22091.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 278.67 tonnes to milligrams.\nAnswer: 278670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21106 and 29158?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 70d156 (base 15) to base 12.\nAnswer: 19658a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1763 (base 8) to base 5\nAnswer: 13021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 45 = -17*l. Let r(z) = -z**3 + 5*z**2 - 14*z + 19. Let t be r(l). What is the highest common factor of t and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, -0.2, -2\/17, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -145299036617 - 13.51.\nAnswer: -145299036630.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 97667112 to the power of 1\/2, to the nearest integer?\nAnswer: 9883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -15980 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f. Suppose -4 = -d - d. Let o(w) = -4*w - 8*w - d*w - 6*w. What is b(o(m))?\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -10 + (-25)\/(-15) + 2\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-2)*(-1660)\/(-10) + -3. What is the highest common divisor of 40 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 4*y - 9 - 23 = 0, 3*y - 31 = -4*x. Let s be (-16)\/x - -2*2026*2. What is s rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1695 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*x + 1502 - 1499 + 102*x to the form f*x + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-40)\/(1360\/(-986)) + -24. Let m = -10 - -14. Suppose -j + 12 = -4*q + 5*q, j - m*q + 13 = 0. Solve s*t = j*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 0.4, -5, -2, 22\/5, -1\/988, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3291975 divided by 3291975\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/8949072 and 42\/120637.\nAnswer: 98439792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*(k*k*k*k**(-13))\/k))**3*k**(-24)*k**(-10)\/k)**(-18\/11) assuming k is positive.\nAnswer: k**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 9*w - 20. Let r be s(-9). Let p = r + 26. Which is smaller: 13\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 - 10. Let z(i) = i**3 + 5*i**2 - i - 8. Let k be z(-4). Let m be 2\/k - 267\/(-18). Solve 4 = -w*t + 2*g, 5*t + 2*g - m + 43 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 19595705.8 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*q, -6*v - 90 = -11*v - q. Let f(m) = 8*m + 3*m + v*m - 36*m. Let a(p) = -8*p + 6*p - 10*p. What is a(f(o))?\nAnswer: 84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 904588 less than 956?\nAnswer: -903632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 21*x + 4 = 0, -9*x + 4 = -2*a - 10*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 93 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-10)*(-980)\/112.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (913\/715 - 1)\/((-3)\/(-5)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 460\/100 - 3\/5. Sort 6, 1, h, 13 in decreasing order.\nAnswer: 13, 6, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2663 (base 10) to base 5.\nAnswer: -41123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 23 = 2*f + 105, -4*k + 13*f = -34. Solve -k*l = -25*l + c + 11, l = c - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (73 + -10)\/(15\/(48 + -33))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 145 - -3659162?\nAnswer: 36592a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -116*o. Suppose -3*b + 5*b - 70 = -4*h, -b + 2*h = -35. Let n(p) = -30*p**2 - b*p**2 + 66*p**2. Calculate k(n(u)).\nAnswer: -116*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -240*w + 55*w = 3212 - 437 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 AM and 4:56 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (16\/40)\/((-2)\/70). Let h = d + 16. Let p = 91 + -94. What is the third smallest value in p, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minus -4?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5.13 - 0.13. Let p be 14\/12*(6\/(-84))\/((-7)\/126). Put 0, p, -1\/4, a in ascending order.\nAnswer: -1\/4, 0, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -53*t + 55*t - 13, 2*h = 5*t - 16. Suppose 5*g - 14 = 1. Let q be (-2)\/g - (4 + -3). What is the nearest to 0 in -5, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3*(-8)\/6 + 0. Suppose -228 = -k - 2*d, -4*k = -k - x*d - 644. Calculate the greatest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -656, -791, -926, -1061?\n\"Answer: -135*d - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -4. Let b(d) = -d - 7. Let o(k) = 0*k**3 + 3 - k**2 - 4*k**2 - 3*k**2 + 9*k - k**3. Let t be o(-9). Let r(g) = t*b(g) - 5*f(g). What is r(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 297655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 90341761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -39207667634231 take away -3?\nAnswer: -39207667634228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-2)*(-20)\/(-10). Let j be 39\/u - 8\/16. Suppose 2*s = -5*t + 20 + 4, 0 = -2*t + 5*s - 2. Solve -t*g + 1 + j = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 127*g + 1360 - 84*g - 42*g to v*g + l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 13 - 7 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (296\/(-12) + 1 + 2)*6\/(-5). What is the highest common factor of 8 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 841*r**2 - 421*r**2 - 49 + 102*r - 418*r**2 + 41 in the form i + w*r**2 + d*r and give d.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -432275, -864555, -1296837, -1729121?\nAnswer: -2161407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(3\/5)\/t)\/t**(1\/6))\/(t**0\/t*t**(2\/9))*(t*t*t\/t**5*t*t**6*t)**(-6\/11) assuming t is positive.\nAnswer: t**(-3031\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 2*h - h - 279, h = 5*s - 351. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*z = 2*z - 1705. Let q be (74 - -1)*(-279)\/z. What is the highest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 13*z**3 + 5*z**2 - 5*z. Let a(v) = 15*v**3 + 6*v**2 - 5*v + 1. Let t(c) = -5*a(c) + 6*j(c). Let d(y) = -y - 1. Give 5*d(h) - t(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 8:07 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 10*n + 22. Let y be v(-2). Let x(a) be the third derivative of -a**5\/60 + a**4\/12 - a**3\/2 + a**2. What is x(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -47, -99, -151?\n\"Answer: -52*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 4887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5454 - 5248. What is the greatest common factor of 20806 and r?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1295205.\nAnswer: 3, 5, 79, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 483 and 36?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -5 + 0*j**3 - 2*j**3 - 314*j + 316*j. Let m be ((-16)\/4)\/(6\/(-3)). Let h(s) = 2*s**3 - 2*s + 4. Determine m*n(g) + 3*h(g).\nAnswer: 2*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.8? (a) 0.3 (b) -6 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108 - 56*x - 108 - 47*x + 75*x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2*g - 2)*(5 - 5 - 2*g**2) + 2*g - 2 - 2*g**3 + 2 + (2*g**2 - 2*g**2 + 2*g**2)*(0 - 4 + 2)*(275 + 135*g - 275).\nAnswer: -538*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 156 (b) 6\/11 (c) -2 (d) -7 (e) -0.3 (f) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + 15 + 6 - (9 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-360)\/(264\/22)*(15\/18)\/1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 35.6 + -18.8. Let s = o - 16.6. Which is the biggest value? (a) -0.2 (b) -31 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 4*j**3 + 8*j**2 - 6*j + 6. Calculate the remainder when s(3) is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -148*m + 79*m + 70*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 4:48 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2082 and -0.1754.\nAnswer: 365.1828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the third derivative of 5*p**4\/24 - 5*p**2. Let l = 4 + -3. What is the units digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*f + 54*m - 57*m + 9 = 0, 5*m + 3 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.02, 0.1, 5, 1\/2435.\nAnswer: -0.02, 1\/2435, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 2*c**2 - 3*c. Let n be q(2). Find the third derivative of 6*g**n - 2*g**2 + g**6 - g**2 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 140063 and 1921?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 61803281 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: Calculate prob of picking 2 o when two letters picked without replacement from {i: 4, w: 8, o: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 255245944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 5 - (3 - (-2 - -16 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 8*a - 153. Let y be c(20). Suppose 145 = y*p + 110. Solve 5*j = -p*k - 0*k - 5, -4 = -2*k - 5*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 3*w + 3665, 0*w + w - 4*h + 1195 = 0. Let z = w - -2153. List the prime factors of 6\/(-4) + z\/4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -26.89 in -0.12, -0.5, -2, 1, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 279.748 tonnes in milligrams?\nAnswer: 279748000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 - 1)*(3*p**2 - 6*p**2 + 3*p**5 - p**5).\nAnswer: -4*p**5 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 AM and 8:19 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*x - 19*x - 19*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 5512, 11017, 16522, 22027, 27532, 33037?\n\"Answer: 5505*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00614053 rounded to 5 dps?\nAnswer: -0.00614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 46 - 42. Sort -1.4, 5, k in decreasing order.\nAnswer: 5, k, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 111515121*q**3 - 2777*q**2 - 253*q - 5 wrt q?\nAnswer: 669090726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of -j**8\/56 - 334*j**7\/105 + 7*j**4\/24 - j**3 - 5548*j**2. Find the second derivative of z(i) wrt i.\nAnswer: -120*i**3 - 8016*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3646715753?\nAnswer: 3646715753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 22330283 to the power of 1\/2, to the nearest integer?\nAnswer: 4725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/176 and 105\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 752.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14353 - 12298. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fourty-six fifths of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-280)\/5*(-96)\/336?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -22604516*b**2. Let c(m) = m**2. Calculate x(c(l)).\nAnswer: -22604516*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 + -2.6. Let u = 455\/6 + -76. Which is the nearest to -1? (a) u (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 43 + 8 = 0. Let r be (g\/(7\/195))\/(-1). Suppose r + 50 = 5*m. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231 is divided by 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d - 2*h - 511 + 3289 = 0, 0 = -5*d + 4*h + 1689. What is the remainder when 1273 is divided by d?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 408 and 2038011.\nAnswer: 16304088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21970 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 260, 253, 232, 191, 124, 25, -112, -293?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -59*u - 1113. Calculate r(-18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 15*p**2 - 209*p + 618. Let m be d(3). Calculate the highest common factor of m and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**2 - 2100*z - 33341. What is m(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -121, -250, -371, -478, -565, -626?\n\"Answer: y**3 - 2*y**2 - 130*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 242326 and 798?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 5*v + 20. Suppose 0*m + 170 = v*m. Let r(b) = 11*b**3 - 1 + 16*b**3 - m*b**3 + b**2. What is r(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -43 - -75. Let z be (-6)\/(-10) + (-6)\/10. Suppose z = -j + 1, 0 = 3*y + 4*j - 19. Solve y*k + s = 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 143 (b) 1\/11 (c) -3.9 (d) 4\/5 (e) 15\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -9\/2, 6, 4, -5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12380 + 12380. Determine i so that 0*i + 2\/3*i**3 + 0 + 1\/3*i**5 + w*i**2 - i**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -109201 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be -8 - (6 - (-12 - -13)). Let m(g) = -3 - 2 - 3 - g. Let t be m(n). Let p(h) = -h**2 + 6*h + 5. Give p(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 93 + -89.3. Let z = -0.2228283 + 3.9228207. Let a = z - s. What is a rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l**2 - 4*l - 68. Let t be k(7). Solve -5*x = 13 + 2, 2*v - t*x = 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 441 (b) 3 (c) -0.21 (d) -25\/7 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**0)**38)**(-13)\/((f**1)**(1\/15)\/((f*f**(-1\/11)*f)\/(f\/f**(-3\/8)*f*f))) assuming f is positive.\nAnswer: f**(-2023\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -3*p - 3. Let v be w(-2). Suppose -5 - v = 4*o. Let h be (2 + o)\/((-2)\/2). Solve h = q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l + 2*b + 8, -3*b + 51 = 4*l + 63. Which is smaller: l or -4\/14063?\nAnswer: -4\/14063","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (26\/91)\/((-6)\/(-14))*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 148096?\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((16\/4)\/(-8))\/(7\/70).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**3 + 65*h**2 + 629*h + 22710. What is v(77)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30 + -10 - 22 - (0 + (-1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1827 - 1749 - (19 - (-1 - 2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 42182 + 38037. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7519 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-25)*5*800\/64.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1501, -1503, -1499, -1483, -1449?\n\"Answer: j**3 - 3*j**2 - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 6059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-21) + 248\/(-14). Let o(u) = 17*u - 1. Let b be o(-1). Let z = b - m. Solve -2*h = p, z = 4*p + h + 3*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 44 + -49.22. Let j = 0.22 + c. What is the third smallest value in -4, j, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 - -0.17314587945?\nAnswer: 0.67314587945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 23*i + 95. Let j be u(-4). List the prime factors of 4 + -2 - (j\/(-1) - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1455*m**2 + 122*m - 1479*m**2 + 2 - 124*m as l + f*m + w*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -3\/5, 0.11, -42.2, 2\/7, 37?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 19 + 11. Let u be ((-145400)\/3)\/(y\/(-2250)). What is u rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2318, 278, 129 in descending order.\nAnswer: 278, 129, -2318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(147)*-1)**2*4)*-2.\nAnswer: -1180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 48 = 5*j + 56, 0 = -2*s - 5*j + 193. Let l(o) = -o + 10. Let b be l(-6). Suppose 5*t = 3*u - 6*u + s, 4*t = u - b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*h - 20 = -3*o + h - 86, 83 + 62 = -8*o - 3*h for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -5*l - 24. Let v(d) be the first derivative of d**3 + 3*d**2\/2 + d - 15. Let y(z) = -10*z**2 - 10*z - 3. Determine l*y(b) - 14*v(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3671 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 3*k - 1. Let s be c(2). Let n = -1.9952 - 0.0048. Sort -18, s, n, -1 in ascending order.\nAnswer: -18, n, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -8 + 94 - (-1 + 2 - (-46 + 39)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 141*f + 4686 = -67*f + 274*f for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 336174051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let y = -2120 - -5252. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39880.\nAnswer: 2, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 582262821*g. Let z(i) = -2*i. Determine f(z(d)).\nAnswer: -1164525642*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -20*l**2 - 764*l - 4518. What is s(-6)?\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -71*p**2 + 3703*p - 4182. Calculate t(51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w. Let s(o) = 0*o + 3 - 3*o - 2 + 5*o. Let r(q) = 6*s(q) - 13*x(q). Calculate the least common multiple of 16 and r(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2816 rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 904778 or 904755?\nAnswer: 904778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -7668 by -6.\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-612)\/(-4 - 8) + (-2)\/30*-6*-15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -3*o + 7, -o + 2*o + 2 = 4*b. Suppose 2*i - o*i = 3*i. Suppose -4*a - 3*h - 2 = i, -h + 5*h = -8. Sort 7, a, 3, 5 in increasing order.\nAnswer: a, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -395 + 416. Let z be 8\/(-56) - (-759)\/f. Which is bigger: z or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 + -13 + -2 + 7 + (-59 - -23).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - -1)\/((-3)\/(-18)). Let m = k - 7. Let c(a) = 12*a**3 - a - 5. Let i be c(m). What is i rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3019, -11, 3\/119, 1\/2 in ascending order.\nAnswer: -3019, -11, 3\/119, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -4*v**3 - 796788*v**2 + 17530888*v - 76500096 = 0. What is v?\nAnswer: -199219, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 4734471, 9468923, 14203375, 18937827?\n\"Answer: 4734452*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2249 + 2249.1349. What is o rounded to 3 decimal places?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 47 = 4*o - 9, 4*o + 64 = 5*l. Let c be ((-3)\/1 + l\/8)*-2. Suppose 0 = 2*y - 5*y - c*v + 660, -3*v + 222 = y. What are the prime factors of y?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -56 minus 130.786?\nAnswer: -186.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 6*w - h - 5, 10 = -3*w - 2*h. Let u = 2 + w. What is the first derivative of 7 + 17*t + 5*t - u*t wrt t?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1d (base 14) to base 11\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 - 8*i + 3. Let h be s(-7). Calculate the highest common divisor of h and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 25485 - 185*l + 119*l**2 - 25485 wrt l.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5346280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 278*d. Let l(o) = -40*o - 943. Calculate l(p(x)).\nAnswer: -11120*x - 943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-28))**35 assuming w is positive.\nAnswer: w**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 12:31 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.17 - 0.42. Let u = -2.25 - t. Let g be 2 - (3\/2 - 0). What is the closest to g in u, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-4783446)\/(-40) + 666\/888 - 2\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 850, 1150, 1638, 2302, 3130, 4110, 5230?\n\"Answer: -2*f**3 + 106*f**2 - 4*f + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -238 + 206 = -8*p. Let c(v) be the third derivative of 0*v + 0 + 10*v**2 + 0*v**p + 0*v**3 + 1\/15*v**5. Factor c(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20 - -19.1. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3830560 divided by 1.\nAnswer: -3830560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = 4*k - 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = -9*z + 553 - 457 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -7 and 1003?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1124.64364 rounded to one decimal place?\nAnswer: 1124.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the second derivative of 5*s**5\/2 - 35*s**4\/12 + 35*s**2\/2 - 2*s - 15. Let g(u) = -3*u**3 + 2*u**2 - 2. Give -35*g(t) - 2*i(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 77\/109 or -4\/215?\nAnswer: 77\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -9*d + 11*d + 9 - d**2 + 8*d + 0*d**2. Suppose 286 = 27*b + 16. Does 9 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(130)\/(sqrt(70)\/(3*sqrt(7))))**2 + 1 + (sqrt(208) + -5 + -3 + sqrt(13) + -3)**2.\nAnswer: -110*sqrt(13) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1\/12 - -43\/12. Let r(c) = 4*c - 3*c**2 + 2*c**2 - c + 3. Let h be r(3). Is g greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2128, 1972, 1802, 1612, 1396?\nAnswer: 1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than 6108\/13931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2632911.7 rounded to the nearest one thousand?\nAnswer: 2633000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 128*z - 31*z - 28*z - 34*z - 38*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -160*u**3 + 311*u**3 + 73 + 11 wrt u.\nAnswer: 453*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.0776 - -462.0776. Let b = y + -461.8. Let w be 2\/7 + 4\/(-14). Sort b, -5, w in decreasing order.\nAnswer: b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/14 + 142\/(-14))*-6. Let q be 0\/(-2 - -1)*20\/g. Solve 7*o - 2*o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - 1. Let l(c) be the first derivative of 4*c**2 - 4*c + 2. Let y(o) = -o + 1. Determine f*l(s) - 6*y(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -11*n**3 - 4*n**2 - 187*n + 190. What is o(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8*g**2*n**3*z + 2*g**2*n**2*z + 9*g**2*z - g*n**3*z + 2*g*z + 2*n**3*z + 2*n - 162*z wrt g?\nAnswer: 16*n**3*z + 4*n**2*z + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 25308 divided by -36?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(690\/23)*1*2*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4 - -1*(-120)\/(-27). Let d = 2 + -1.5. Which is the smallest value? (a) n (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -8*j**2 - 344*j + 6. Give a(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1233110 - -2?\nAnswer: 1233112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the third derivative of 1\/6*r**4 + 0*r - 14*r**2 - 1\/2*r**3 - 1\/60*r**5 + 0. Factor a(t).\nAnswer: -(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (7 + -5)*2*2. Let d = 11 - r. Find s, given that -4*s**5 - 30*s**d + 4*s**4 + 34*s**3 + 5*s**5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 38*s**2 + 1016*s - 262. Determine f(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 - 9*h**2 + 7*h + 8. Let s be g(8). Let f be 70\/1225 - 2\/10. Which is the nearest to s? (a) f (b) -2\/15 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -a**3*l**2*w**2 - 117*a**3*l*w + 2*a**3*l - 44662*a*l**2*w**2 + 67*a*l**2*w wrt w?\nAnswer: -2*a**3*l**2 - 89324*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 159\/(-15) - 2\/5. Let m = k - -2. Let y = -7 - m. Solve 2*h - l = -2*l - 2, -6 = -y*h + 3*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8626, -2, 16, -2\/23, 3, 5, -1 in increasing order.\nAnswer: -8626, -2, -1, -2\/23, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (81\/189)\/((-1 + (-148)\/(-140))*5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 116 is divided by 72.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 321845, 643504, 965163, 1286822, 1608481?\nAnswer: 1930140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3640 - 3638. Solve -k*i + 6*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -83 by 3.\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 2.599, -3, -0.2 in increasing order.\nAnswer: -5, -3, -0.2, 2, 2.599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 8246*l - 7524 = 8018*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3690001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 152 - 144. Let v(u) = u**3 + 6*u**2 + 4*u + 2. Let h be v(-5). Suppose 3*b + x + h = 4*t, 15 = 3*t - 3*b. Do -5 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64*j + 195766 + 116170 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000234539 to 7 decimal places.\nAnswer: 0.0000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -130, -1\/4, 0, 3, -16\/7 in descending order.\nAnswer: 3, 0, -1\/4, -16\/7, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6 - (-4)\/(4\/(-1)). Suppose r = -a*j - 22, -5*r + j + 14 = -2*r. Suppose 0 = -r*s - 4 - 2. What is the smallest value in s, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - 1.6. Let o be 2\/(-3 - -1) - -2. Let y = -149 + 152. What is the second biggest value in o, y, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 96 and 27584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 16 = 4*u, -3*u - 2*p - 7 = -3*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -216*i - 13. Let l(q) = 1. Let g(t) = -2*l(t) - y(t). What are the prime factors of g(1)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -255 = 388*t + 446 + 2015 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1655.4501s in minutes?\nAnswer: 27.590835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -34 - -54. Let w be (-8)\/t + 66\/15. Put w, 5, -11 in ascending order.\nAnswer: -11, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-2)\/12)\/((-12)\/1278) and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 305, 337, 369, 401, 433?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37 + -172. What is the common denominator of -143\/18 and u\/(-48)*(-20)\/(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8 + 5)\/(1\/3). Let o = 66 + c. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((32\/(-102))\/4)\/((-857)\/(-2571))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -131866210*o**3 + 2*o**2 - 6*o - 71341?\nAnswer: -791197260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 9*w**4\/2 - 627*w**3\/2 - 108*w**2 + 210*w = 0.\nAnswer: -1, 0, 2\/3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -713, -2 in descending order.\nAnswer: 2, -2, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.2292863 nanograms?\nAnswer: 0.0000000000000002292863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xg when two letters picked without replacement from jxjxgrjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 - 15*i**2 + 15*i - 9. Let q be c(14). Suppose -2*d - 3 = -3*b, -q*d - 2*b + 22 = 1. Solve 3 = -z + v, z - d*z - 3*v - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3991 + 3990.5. Which is the fifth biggest value? (a) h (b) 1\/7 (c) 0.4 (d) 4 (e) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 16 by -5.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = 3 - 0. Suppose s*d = 7*d - 20. Suppose d*u + 18 = 7*u. Solve 3*r + 2*g = -4, -4*r + 4*g + 8 = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -34*x**2 - 25*x + 27. What is u(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -5*b**3 + 65*b**2 - 195*b + 135 = 0.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 169646482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + -2968cd4?\nAnswer: -2968cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -3*v**2 + v + 25. What is g(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/6)\/((-2)\/3)*(-228)\/(-741).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -4*u + 1. Let o be a(0). What is the highest common divisor of o and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 3*h + 33 = 0, 2*z - 31667*h + 30 = -31670*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36893?\nAnswer: 79, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 + 10*t**2 - 9*t - 4. Let x be p(9). Let g be x\/((-8)\/6) + -1. What is the highest common factor of 22 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -205 at least as big as -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-51)\/15 - -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3\/(-9))\/((-3)\/(-45)). Let j be (-29)\/(o*(-2)\/20). What is the remainder when j*(-3)\/(-6)*-1 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 0*n + 15 = -n, 2*v = -2*n + 18. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10 - -11) + (28 + 5 + -3 - (4 + -1))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: (-2)\/6*-48*70\/(-2240)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 10 - 51.73.\nAnswer: -41.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1419295.\nAnswer: 5, 283859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 303382.9 years to decades.\nAnswer: 30338.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 35 - 31. Let z = n - 1. Suppose -4*b + 8 = 0, b - 11 = -2*a + z. Solve 21 - a = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3 + (0 - 0) + 1. Let k be (-1)\/c*(-8)\/(-4). Is 3 a factor of (-1)\/k*(0 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 AM and 1:12 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(539) + 0 + sqrt(539) + 3)*-2*1)**2.\nAnswer: 336*sqrt(11) + 8660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**2 - a. Let f(o) = 5*o**2 - o - 2. Let q(z) = f(z) + 4*i(z). Give q(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 293028.3 (b) 0 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 19 + -11. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.102126 rounded to four dps?\nAnswer: -0.1021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-31 - 11) + (-8 - -139)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q - 116 = -4*g - q, -2*g + 36 = 3*q. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*q - 428 + 428.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 215 = -a, -a = -4*z - 112 - 83. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 52\/(-10) + (-1)\/(-5). Let i = -0.2 + 0.1. Let f = -1967 + 1974. Which is the fourth smallest value? (a) f (b) m (c) i (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and 4.7?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h - 13. Let b be v(-16). Solve 3*k + 2*m = -b, 5*k - 2*m = m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 21.71 to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 143\/29124 and -89\/24.\nAnswer: 58248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand m**3 - m**3 - 2*m**3 + (6*m**3 - 3*m**3 - 2*m**3)*(-1 + 0 - 1) + 2*m - 4*m + 0*m - 7*m**3.\nAnswer: -11*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a**2 + 7*a - 7. Let q = 292 - 296. Calculate d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 + 9. Suppose -3*s = -5*y + 135, 76 - 211 = -5*y - n*s. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -11825, -23827, -35827, -47825, -59821, -71815, -83807?\n\"Answer: t**2 - 12005*t + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -38 + b?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 1595 = -5*j - a, a = 0. Let o = 1381 + -932. Let k = j + o. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30011 - 60024 + 30013 + 10*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*r**3*z**3 - 14*r**3*z + 208*r**2*z**3 - 699*r**2 + r*z**2 - 2*z**3 wrt z.\nAnswer: -30*r**3 + 1248*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(8\/(-4))*14049\/2676?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -692310\/839 - -12108867058\/14664881. Let y = 2\/1589 + o. Factor -6\/11*w + 0*w**2 + y*w**3 + 0.\nAnswer: 6*w*(w - 1)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 818 divide 39486496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -82? (a) -3\/170 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -8*n**2 - 2*n + 7*n**2 + n**4 + 2*n**3 + 3*n**2 + 3 in the form p*n**2 + t*n**4 + v + k*n**3 + c*n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -15*((10\/3)\/(-5))\/((880\/(-44))\/(-140))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*t**4 + 4*t**4 - 2*t**4 + 2*t**4 - 5*t**4 + t**4 + (3*t - 2*t**2 - 3*t)*(1 - 2*t**2 - 1) - 1 + 1 - 3*t**4.\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 9, e: 2}. Give prob of sequence xx.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 - 768.15.\nAnswer: -768.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**2 - y + 27. Let f be v(0). Let u be (1629\/f)\/(2\/(-6)). What is the tens digit of u\/(-4) - (-3)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 850, 848, 848, 850, 854?\n\"Answer: w**2 - 5*w + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1138429 is divided by 1524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -50826997 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of k**2*x**2 + 8*k**2*x + 2*k**2 + 441926*k*x**2 + 3*k*x - 5*k wrt x.\nAnswer: 2*k**2 + 883852*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1981944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 13696*y + 13413 wrt y.\nAnswer: 13696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 852603262 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*i, 3*i - 9 = 2*w - 4*w. Suppose w*t - 26 + 8 = 0. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + 4*(-2)\/4. Let k(m) = 1 + 3*m**3 + 2*m - 6 - 2*m**3 + 5*m**2. Let v be k(-4). Solve d - 9 = 2*c + c, h = -v*c - 3*d - 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 314\/522 + (-4)\/18. Let t = -222022\/46719 - -1857\/358. Let j = u - t. Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**2 - y. Let d be j(3). Let q = -3 - -5. Let o be q\/((-4)\/(-3))*2. Solve -d = -3*p + o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 17398.31 + 4\nAnswer: 17402.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-170)\/1615 + (-1072)\/(-76). Let g = 783\/56 - 6\/7. Is g at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -4*c + 52. Determine w(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -5680 + 5680 - 421*p as a + y*p and give y.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -236168778*r**3 + 472337535*r**3 - 236168760*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -41 + 41.4. Let y = w - 0.7. Let k(o) = -2*o + 1. Let a be k(1). What is the closest to a in 3, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37 + (-6 + (37 - 2) - -5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 917389.6 decades in millennia?\nAnswer: 9173.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 65 = 23*c + 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 23\/5 - (-6)\/15. Suppose 0 = 2*v - 5 - a. Suppose 16 = v*q - q. Solve -k - 5 = -4*g + 6, 2*k - 2 = -q*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -11 (b) -0.3 (c) 0 (d) 8 (e) 430 (f) 3 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 5*(4\/20)\/(1\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 21951*g - 22043*g - 2668 = 0 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 5*x - 16. What is the lowest common multiple of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 + 11*t - 11. Suppose 0 = 9*a - 12*a - 681. Let z = a - -112. Let o be (-92)\/z*(-165)\/2. Let m(f) = -f + 1. What is o*m(y) - 6*h(y)?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1023\/(-396)*6*(2\/((-20)\/(-15)))\/(-3).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sqqq when four letters picked without replacement from {s: 1, q: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 630371906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 28*i**2 - 4*i + 1. Let h(p) = 27*p**2 - 3*p + 1. Let a(z) = -6*h(z) + 5*v(z). Let x be a(-1). What is the units digit of (x\/6)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91\/4 of a century in years?\nAnswer: 2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1292.7 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 + -4. Let o = f - 10. Is 3\/(1*-3) + o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1012450.\nAnswer: 2, 5, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 139 = -5*x - 36, 5*x + 295 = 5*j. What is the highest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10*t**3 - 13*t - 3*t**3 - 9*t**3 in the form m + r*t + b*t**2 + d*t**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8825.6 + 8826. Put k, 0.2, -1\/72 in decreasing order.\nAnswer: k, 0.2, -1\/72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 4*v - 20 = -4*d, -22 = -3*d + 2*v. Calculate the remainder when 77 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.186 - 1.814. Let u = 4 - 1. What is the smallest value in z, -1, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1437)\/(-9) - 1\/(-3). Let f(l) = -14*l. Let a be f(-8). Let m = q - a. Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 - 141 = 27*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.14 + -0.1138. Let j = 0.001 + h. Round j to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000023835 rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -1146*d**2 - 20187*d + 39. Let z(q) = -382*q**2 - 6729*q + 12. Let m(o) = 4*x(o) - 13*z(o). What is the second derivative of m(i) wrt i?\nAnswer: 764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -13201 (base 5) to base 3\nAnswer: -1102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**2 - 7*j - 5. Give t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 26*c**2 - 3468*c - 43786. Determine f(145).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17, 31, 43, 47, 37, 7, -49?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (26 + -11)\/3 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**9*v)\/v*v\/v**(-1\/30) assuming v is positive.\nAnswer: v**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -886, 4\/5, 0.07, -2\/481, 0.5 in descending order.\nAnswer: 4\/5, 0.5, 0.07, -2\/481, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 23265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.7 * 0.1028581.\nAnswer: -0.27771687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 14*p + 7. Suppose 0 = 3*t - 2*t + 8. Let f be k(t). What is the units digit of (f\/(-25))\/(2\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of i**5\/30 - i**2. Let g(j) = -26*j**2. Give g(q(b)).\nAnswer: -104*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14 - 4*x + 0*x - 14 to w*x + k and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the third derivative of -283*g**6\/120 - g**5\/60 + 25*g**4\/12 + 345*g**2. What is the third derivative of r(j) wrt j?\nAnswer: -1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1784)\/(-3345) - -1*4\/(-6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 + 5*v + 1. Let f be q(5). Which is bigger: -10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 3*i + 21 = 0. Let h(b) = -b**3 + 8*b**2 - 7. What is the common denominator of (39\/(-12) + 1)\/(34 - 3874\/117) and h(i)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 189762 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*m + 3*i + 2, 13*m - 4*i = 15*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.06 + -0.1. Let j = 1.96 - w. Let u(v) = -v**2 - 8*v - 6. Let l be u(-7). Which is the closest to l? (a) -0.2 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6 (b) -2\/13 (c) 0.1 (d) -1\/31 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of -1\/30*g**5 + 0*g**4 + 0*g**3 + 7*g**2 + 0 + 0*g. Let f(x) = 3*x**2. Determine p(f(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -6, -32, -74, -138, -230, -356, -522, -734?\n\"Answer: -t**3 - 2*t**2 - 13*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*h + 5*h - 12 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from tkrrknqq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -451 (b) -500 (c) 5\/2 (d) 62 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22200 - -2201211110?\nAnswer: 2201111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12\/23 - 14\/115. Suppose -2\/5*q**3 + t*q - 1\/5*q**4 + 0 + 1\/5*q**2 = 0. What is q?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-90)\/675 - (-744197)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b + 11. Let u be w(13). Let j be (-10)\/(-8)*(-87)\/1305. What is the nearest to u in 3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9272*v**4 + 7*v**3 + 79*v**2 + 42*v wrt v.\nAnswer: 222528*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -j**3 + 29*j**2 + 2*j**4 + 32*j**2 - 63*j**2 + 20*j - 19*j**3 = 0.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12627.\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 345503 - 0?\nAnswer: 345503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -15. Let x(s) = s**3 - s + 12*s**2 - j - 25*s**2 - 11*s. Let z be x(14). Solve -y - 3*b - b - z = 0, 3*y - 7 = 4*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6692277?\nAnswer: 3, 2230759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from jzzqz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -69, -55, -2, -4.\nAnswer: -69, -55, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 12832\nAnswer: -5\/12832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 + 61\/(-21))*(-135)\/45.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -104.927 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 3a53658 (base 11) to base 16.\nAnswer: 6adc2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23 + -7. Does 15 divide s\/120 + 508\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 - -26659a?\nAnswer: 2665a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 55 + 7 = 0. Let p be 41\/4 + (-12)\/d. Let z = p + 2. Solve -5*l = -0*l + a, -2*l = 3*a + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 y when four letters picked without replacement from {x: 2, p: 1, q: 1, y: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.133802 take away 292?\nAnswer: -292.133802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -661 or -660?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-306)\/(-5) + 64\/80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(34)\/sqrt(2) + -3 - (-2 + 4*sqrt(1088)))**2 + -2.\nAnswer: 186*sqrt(17) + 16344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -u**3 - 5*u**2 - 6*u + 6. Let a be y(-6). Suppose 2*x - 166 = -2*n, -3*n = 3*x + 2*n - 259. Is a at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -s + 115. Let b = -11 + s. Calculate the least common multiple of 6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 40858 and 393731.\nAnswer: 518937458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are -176 and -246 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 2, y: 1, m: 1, r: 3}. What is prob of sequence jryr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xrrurxr. Give prob of sequence xx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-693)\/56 + 3\/8. Let x(j) = -j**2 - 13*j - 1. Let z be x(s). Suppose 12*u - 30 = z*u. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d = -5*n + 13, -2*d - 2*d = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4\/7, 1\/8, 23, 76, -1\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 3763*s - 15066. What is f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 506e0d26 - 3?\nAnswer: 506e0d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.62711 from 0.6.\nAnswer: 2.22711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8780 is divided by 1647.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -3*l. What is the third smallest value in -3, -10, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 5 = j. Which is the nearest to 0? (a) j (b) 8\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1043 - 1019 = 24*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 2*k + 7. Let l(x) = -x - 3. Give 3*g(t) + 7*l(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-68)\/11 - (0 - (-12)\/(-66))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3001 - -11320221231?\nAnswer: 11320212230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 47253.1km in millimeters?\nAnswer: 47253100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 239*10398\nAnswer: 2485122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2519*j**3 - 9*j + 2579*j**3 + 9*j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*a - 17*a - 129 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/24 - ((-68)\/(-6))\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 196343706 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k. Suppose -l + 2 = -1. Suppose 3*q - 3 = l. Let r(b) = q*b - 6*b - 4*b. Give a(r(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h + 3*s - 1 = 0, 5*s - 4*s - 5 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -o**4\/4 - 11*o**3\/4 - 43*o**2\/4 - 69*o\/4 - 9 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 290 or 0.2?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*t - 25*t - 87 = 8*x - 11*x, -11*t + 143 = 3*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 12. Let z be 1 + 3 + d + 2. Let q = 4 - z. Solve -12 = -q*l + 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -13*p**2 - 1274*p. Determine r(-98).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -21.0159182 rounded to 2 dps?\nAnswer: -21.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004140586 to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 6*h**3 + 2*h**2 - 2*h - 2. Let c(i) = -19*i**3 - 7*i**2 + 7*i + 7. Let b(p) = 5*p**2 - 17*p - 36. Let k be b(5). What is k*c(f) + 14*d(f)?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 636033 greater than or equal to 636034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t = -11*t - 24. Let c = t + 14. Solve l = -a - 0*l - c, 0 = 5*a - 3*l + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19452 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*h + 16*h = 4*r + 13, 3*r = -2*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 480789114 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -243230 by -3.\nAnswer: 243230\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 767307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -21031230303 (base 4) to base 9\nAnswer: -4481280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q - 16. Let w be u(10). Let c(n) = -2*n**2 + 63 - 8*n**2 + 3*n**2 - 4*n**3 - 47 + 3*n. Let d be c(w). Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 6:47 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**3 - 20*a**2 - 4*a + 89. Let j be b(20). Calculate the lowest common multiple of 72 + (j + -5)*(-3)\/6 and 180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of p**8\/1344 + p**7\/840 - p**6\/80 + p**5\/120 + 5*p**4\/96 - p**3\/8 + 27*p**2. Factor c(v).\nAnswer: (v - 1)**3*(v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**2 - 9*w + 9. Let h be g(8). Suppose p + c = -p + 11, -3*p - h = -2*c. Let r be (2 - p)\/((-6)\/30). Sort -4, r, -6.\nAnswer: -6, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.6 - -3.6. Let c = -9.4 - 54.6. Let n = -63 - c. What is the biggest value in -3, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 23 - 9. Let u(x) = -x**3 - 4*x**2 - 5*x - 6. Let l be u(-4). What is the highest common factor of h and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23292869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ugug when four letters picked without replacement from uguuuguu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-26)\/78 - (-50)\/(-3). Let i(u) = -19*u + 49. What is the hundreds digit of i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(147)\/sqrt(3))\/sqrt(7) - (sqrt(7) + 3*sqrt(28)\/sqrt(4)))**2 + 0 + (-5 + sqrt(7) + sqrt(7)*-2)**2.\nAnswer: 10*sqrt(7) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7.902 + -23.968. Let n = -32 - q. What is n rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*j + 18, 2*o - 31*j + 29*j = -4 - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0785 + 436075905.\nAnswer: 436075905.0785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 360*z + 8289 + 14125 = 3334 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*c + 4*y + 5736 = -26*c, 2*c = y + 2867. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes before 4:40 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238255 is divided by 207?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50 + 1058*z**2 - 518*z**2 + 21 + 12 + 17 - 542*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uittiubiut. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 325*h = 340*h - 105. Let o(z) = 13*z**3 - 7*z. Let u = -1 + 2. Let l(y) = -u - 4*y**3 + 2*y + 1. Give h*l(w) + 2*o(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.953 - -21549.\nAnswer: 21553.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -192, -1, 1, -13, 0 in decreasing order.\nAnswer: 1, 0, -1, -13, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, m: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 2*y**3 + 18*y**2 - 23*y + 6. Let q be m(13). Suppose 8*l = -q + 58295. What is the units digit of ((-4)\/6)\/(l\/(-1278) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 203*m + 816. Let t be h(-4). Solve 0 = -3*j + t*n - 8*n - 1, 5*j + 5*n - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -118392, -118393, -118394, -118395, -118396, -118397?\n\"Answer: -w - 118391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 3*j. Solve -4*o - 5*w + 5 = -j, 3*o = -3*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(14)\/sqrt(2))**2 - sqrt(7)) + 3 + (sqrt(343) - sqrt(343)*-2).\nAnswer: 10 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -99, -156, -213?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x - 140 - 26 - 119.\nAnswer: -x - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 2*m - 1. Let x be z(2). Let o be 2 + (1 - -84) + x. Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(1\/7)*q)\/(q\/((q\/(q*q**22*q))\/q)) assuming q is positive.\nAnswer: q**(-167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/179 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -478453, -478452, -478451, -478450, -478449?\n\"Answer: v - 478454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be -11 + 8 - 5\/(15\/(-6687)). Suppose 34*c + v = 40*c. List the prime factors of c.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 329*d**4 - 707*d**3*i**3 - 1830*d*i**3 - 156*d*i - d + 2*i**3 + 2*i wrt d?\nAnswer: 3948*d**2 - 4242*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 0*q + 5930 = -4*f, -f = 3. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 317 divide 247012423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, u: 18}. Give prob of picking 1 d and 2 u.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iihi when four letters picked without replacement from hihhiiii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*u - 75*u - 360 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 17*b**4 + 5*b**3 - 5*b**2 - 6*b. Let f(h) = 26*h**4 + 8*h**3 - 8*h**2 - 9*h. Let l(q) = 5*f(q) - 8*r(q). Find the second derivative of l(k) wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -5*x**2 + 244*x - 2133. Let z(g) = 3*g. Calculate z(h(y)).\nAnswer: -15*y**2 + 732*y - 6399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 2 e, and 1 i when four letters picked without replacement from {i: 3, b: 1, e: 3, m: 1, g: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 83 - 54. Let n be -2 - (-1 - -2 - 7). Factor -2*i**3 + 29 + 8*i**5 + 6*i**n - y.\nAnswer: 2*i**3*(i + 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -32 - -88. Is 3 - a\/20 - (-12170)\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 2. Suppose c = g - 20. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*g + 10*g - 547014 = -0*g. List the prime factors of g.\nAnswer: 2, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*x + 3592186 = 11*x - 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*(-72)\/12*11\/((-660)\/70).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = i - 3*i - 22, -5*i = 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -81 + 21 = -7460*r + 7448*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1036809*a**4 + 56*a - 9829.\nAnswer: -12441708*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 2*i = 0. Suppose -2*l - r + 12 = i, 5*l - 60 = 2*r + 3*r. Suppose 0 = -4*b + 56 + l. Solve -o = -5*o - b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*z**3 + 145346*z**2 - 9*z**3 - 145364*z**2.\nAnswer: -6*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 10 - a137?\nAnswer: -a127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20102\/57)\/(-23) - -14.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25)\/((-380)\/(-836)*(-22)\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*a**5\/3 - 24*a**4 + 28*a**3 + 232*a**2\/3 + 32*a = 0.\nAnswer: -4, -1, -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6\/4 + ((-645)\/(-2))\/15. What is the greatest common factor of n and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7589559\/21364 + 1\/10682. Let o = 355 - l. Which is greater: o or -131?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 - 9. Let m be 4 - 1\/7*31. Which is the closest to 0.1? (a) m (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32 and 1840.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 283*i - 8699 - 2338 = 0 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 13016.9 times -0.13\nAnswer: -1692.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 + 12*c**2 - 17*c - 20. What are the prime factors of x(-12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -5*d + 7, 377*r + 5*d - 10 = 377*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**3 - 90*j**2\/7 - 243*j\/7 - 132\/7.\nAnswer: 3*(j + 1)**2*(7*j - 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 9) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 6300, -76\/15, 0.1, -2\/7 in ascending order.\nAnswer: -76\/15, -2\/7, 0.1, 6300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = y + 5*y. Suppose -2 = 10*j - y. Solve j*g = g - 5*t - 27, -2*t - 20 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 711486458 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 2*b = 941 + 1133, -4153 = 4*f - 5*b. Let z = -152 + f. Let r be z\/(-24) + (-5)\/((-45)\/6). What is the highest common divisor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 906 divided by 2.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2732925 - 2732925 - 86*y**4 + 1671*y wrt y.\nAnswer: -1032*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-43275*g - 43614*g + 94471*g)*(0 + 0 + g) to m*g**2 + o + l*g and give m.\nAnswer: 7582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 7 = -2*j, -4*j + d = -9*j + 6. Let i be (2\/((-16)\/8))\/(j + 2). What is the second smallest value in 2\/13, -0.3, i, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -732 divided by 183\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1197774 (base 13) to base 2\nAnswer: 10100110111111001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.321 - -135.321. Let v = 1091\/5 + -219. Put q, -3, v in ascending order.\nAnswer: -3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-5) + (-54)\/15. Let u be (8\/12)\/(g\/(-150)). Suppose 4*t - u = 5*r, -5*t - 4 = -r - 30. Solve -4*q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4021*a**3 + 2312*a**3 - 5097*a**3.\nAnswer: -6806*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/11)\/(f*f**(-1\/9)))**(-47)*(f**1\/(f\/f**(-3)))**47 assuming f is positive.\nAnswer: f**(-10246\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 + 15*l - 14. Let r be z(6). Suppose -k = k - r. Calculate the least common multiple of 6 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -29 + 24. Let d(f) = 0*f + 4*f + 2*f**2 + 2*f - 4. Is d(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 127026039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10903565773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1326057341 a multiple of 4606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3, -101, -367, -885, -1739, -3013, -4791, -7157?\n\"Answer: -14*f**3 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4882 + 2402 + 2480 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 312851370 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1.002447 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 92*a**3 + 80*a**3 - 171*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.2 - -1. Let t = -11.13 + 0.13. Let j = 11.1 + t. Which is the nearest to j? (a) 2 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 5 = k. Suppose -k*p = -10*p. Suppose 3*f + p*b = -4*b, -3*b = -3*f + 21. Solve -d - 1 = 2*i, -4*i - 5 = -3*i - f*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 23.902 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -131*g**2 + 4 + 64*g**2 + 68*g**2 - 2*g**4 in the form f*g + a*g**4 + l*g**3 + k*g**2 + x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47842652?\nAnswer: 2, 11, 13, 83641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 5260*m**2 - 5260*m**2 - 29*m**4)*(2 - 5 + 4 + (-2 + 4 + 0)*(3 - 1 - 1) - 2 + 2 + 2) in the form i*m**3 + z*m**4 + q*m**2 + u + h*m and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/((-1)\/3) + 10. Suppose 0 = 8*j - j - 175. Find the second derivative of -j*h**5 + 14*h + n*h**5 - 6*h wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1680.76 - -1722. Let n = x - -0.76. Let g = 45 - n. What is the biggest value in g, 2\/9, 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.3, -1\/13, -4.\nAnswer: -5, -4, -1\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2 + 121251*q + 485020.\nAnswer: -(q - 121255)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, s: 4}. What is prob of picking 2 s and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*z - 3*z + 4*z)*(-8*z**3 - 36*z**3 + 4*z**3) - 3037*z + 3037*z + 75*z**4 as t*z**2 + j*z**3 + w + k*z**4 + g*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, 41, -5 in decreasing order.\nAnswer: 41, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 126793322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -56 - -32. Suppose 22 = -g - 5*t, 0 = 2*g + t + 11 + 69. Let o = b - g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 + 12*b + 18. Let q be m(-10). Let a(n) = -n**2 - 3*n - 4. Let z(f) = 3*f**2 + 12*f + 17. Calculate q*z(k) - 9*a(k).\nAnswer: 3*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 4+42958732965268\nAnswer: 42958732965272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -4*b**2 + 128*b - 4. What is n(29)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -43 = -2*m - 5*v - 8, -5*m + 50 = 5*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b + 6*b - 2*b)*(-2 + 4 - 11)*(-5 + 2 + 0).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-264*z - 277*z + 2 + 502*z)*((-5*z**2 + z**2 + 3*z**2)*(3 - 3 + 2*z) + 5*z**3 + z**3 - 3*z**3).\nAnswer: -39*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 + -9 + (-16 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -6328 less than -6365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 - 16. What is the nearest to p in -0.3, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101100 + -10100110110010?\nAnswer: -10100110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -13 - (-13 + 14 + -6 - (1 - -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 79663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -4*b**2 - b. Let j(t) = -3*t - 234526. Give j(z(s)).\nAnswer: 12*s**2 + 3*s - 234526","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 566*w**4\/5 - 36786*w**3\/5 + 518196*w**2\/5 + 1192264*w\/5 + 1680 = 0. Calculate w.\nAnswer: -2, -2\/283, 25, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 343\/15 - (-4)\/30. Suppose -v = 7*z - 233. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 5*i**3 - 2*i**2 - 5*i + 3. Let g(y) = 7*y**3 - 3*y**2 - 5*y + 3. Let c(v) = 3*a(v) - 2*g(v). Find the second derivative of c(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -3 - 0. Sort w, -1, 0 in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 20*f**2 + 17*f - 12. Let a(n) = 7*n**2 + 8*n - 23. Let z(b) = -22*b**2 - 26*b + 79. Let l(y) = -7*a(y) - 2*z(y). Give 9*l(k) + 2*o(k).\nAnswer: -5*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1045\/25 + 1\/5. Suppose 2*s - 2 - f = 0. Let z = s - 11. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 38 + -11. Let o be 3 - (0 + 3 + -4). Suppose -o*f + r = -f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 253704?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 312844642 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 + 68*q**2 - 11*q - 754. What is v(-68)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/1073468 and 113\/2530?\nAnswer: 123448820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -825, 5, 403, -3.\nAnswer: -825, -3, 2, 5, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -37*f**2 - 425*f - 28. Let d be i(-11). Solve -188 = 3*p - d for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/350, 3\/5, -374?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 84, 85, 86, 87?\n\"Answer: r + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5)\/(-2) + (-16 - (-310)\/20). Solve 0 = j*q + 8, -11*q + 10*q - 9 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 9333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 58642496493.848 minus 0.1?\nAnswer: 58642496493.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2903 - 2908. Which is the nearest to 2\/13? (a) -4 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -47 - -75. Factor 16*u**3 + 33*u**3 - u + 0*u + 5*u + b*u**2.\nAnswer: u*(7*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -b**5 + 13*b**4 - 26*b**2 + 12631*b wrt b.\nAnswer: -20*b**3 + 156*b**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (7\/((-84)\/4))\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -430*f - 35152. What is w(-82)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 404 and 200?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2652*v - 5344*v + 2690*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 59153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 59 + -59.31. Let y = -0.309946 - s. Round y to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/7 (b) 22 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -159316746 minus -38.59?\nAnswer: -159316707.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4218 is divided by 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the first derivative of 0*a + 3\/2*a**3 - 10*a**2 - 3\/20*a**5 - 1\/24*a**4 + 7 + 1\/120*a**6. Let j(p) be the second derivative of r(p). Give j(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 + (5 - 6) - (-4 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 4)*(-5*u - u + 2*u)*(0 + 0 + u)*((1 - 6 + 3)*(3 + 0 - 1) + 13 + 3 - 2)*(2 + 1 - 6).\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/15 - 5411199\/(-270). Let q = p + -20034. What is the common denominator of -31\/2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 382 not equal to 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = k + l - 1, 1 = k + l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9527 - -9527.1. Which is bigger: -2\/1481 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 51*a**2 - 1. Suppose -v + j = -4*j + 21, 5*j - 20 = 0. Determine f(v).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -108270 = 11969*g - 126850 + 1706209 for g.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (8 - 2) + -19 + (-17 - (-30 - -8)) - 39\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 + 210210000002021?\nAnswer: 210210000002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 268634?\nAnswer: 2, 17, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2678\/3 + 66\/(-99). Which is smaller: o or 891?\nAnswer: 891","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + y + 375 = 0, c + 2*c - 3*y = 381. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 2*i - 62, 2*u + 2*i + 3*i - 125 = 0. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4\/7 + 6*j**3\/7 - 18*j**2\/7 + 10*j\/7.\nAnswer: 2*j*(j - 1)**2*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 - 7*o**2 - 49*o - 2. Give g(11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 51408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -33375.1 rounded to the nearest 100?\nAnswer: -33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42 + 41. Let h = 156 - 156.1. Sort h, 0.3, k in descending order.\nAnswer: 0.3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**2 + 9*d - 1. What is t(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 AM and 9:48 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 35933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 361\/6*d + 1\/6*d**2 - 181\/3 = 0.\nAnswer: -362, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 598\/(-52) + (-1)\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*o = 95*o + 540 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/141, 0.2, -6\/25 in increasing order.\nAnswer: -6\/25, -2\/141, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b + 3*b - 3*b)*(1 - 1 - b) + (-b - 2 + 2)*(b + 6 - 6)*(-25 - 15 + 10).\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 36*d**2 - 184*d + 22. Let l be x(5). Suppose -3*b = -10 + 58. Let o be (38 - 37)*(l*b)\/2. Do o and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.9867 + 0.0133. Which is the nearest to f? (a) -1 (b) 0.1 (c) 4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12960, 12941, 12902, 12837, 12740, 12605, 12426?\nAnswer: 12197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -214eca (base 15) to base 6.\nAnswer: -53555331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11\/26 - -203\/234. Solve -2\/9*u**3 - l - 10\/9*u - 8\/9*u**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 272\/153*135\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the second derivative of -r**6\/90 + 2*r**5\/15 - 5*r**4\/12 - 4*r**3\/9 + 8*r**2\/3 - 208*r. Find m such that p(m) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*z - 957*z = -59*z - 26432 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 22*b - 14 = -4*b, 0 = -3*q - 4*b + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -862\/3 + 288. What is the second smallest value in d, -4, -2\/63, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i**3 + 2*i**2 - 28*i + 6. Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003090009 to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -1929*q + 327. What are the prime factors of k(-5)?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/6*(-1832)\/(-42). Let n = y - -8363\/126. Find the common denominator of 61\/2 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3701352, 3701291, 3701180, 3701013, 3700784, 3700487, 3700116?\nAnswer: 3699665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5532 + -115031?\nAnswer: -125003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 463 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16 + -15.7. What is t rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -803 - -956. What is the least common multiple of v and 68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 109038709?\nAnswer: 327116127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 7)*(-19*h - 35 + 35) + 0*h - 3*h + 5*h.\nAnswer: 59*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -735, -743, -757, -777?\n\"Answer: -3*m**2 + m - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7277289?\nAnswer: 3, 29, 233, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 76090003 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*f**3*t**5 + 230*f**3*t + 168*f*t**3 + 2*f*t**2 + f wrt t.\nAnswer: 120*f**3*t**2 + 1008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g + 10 = -2*d, 7*d - 3*g - 2 = 11*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6747 and 126636?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 122 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2052)\/270)\/((-19)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -51*s**2 + 21*s. Let y(q) = -5*q**2 + 2*q. Suppose 2*n - 3*n + 2 = 0. Give n*w(b) - 21*y(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 + 11*t - 38. Let k be i(-14). Which is the nearest to 0.04? (a) -0.04 (b) 2 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 255*z**2 - 3*z - 3. List the prime factors of n(-2).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7*(-13)\/(9464\/(-16)))\/((-7)\/14)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 36 = -15. Let c be -1*6\/v*-21. Suppose i = 5*o - 33, -2*i + 206 = 212. Calculate the highest common divisor of o and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.18658 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 566446154 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be 380\/(-665) + 3 + (-6)\/14. Find k, given that -2\/9*k**a - 10\/9*k - 8\/9 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*k + 0*k + 2*k)*(-2*k**2 + 2*k + 0*k**2 + 0*k - 2) + (13*k + 16 - 16)*(4 - 4 + 5*k**2).\nAnswer: 73*k**3 - 8*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = 2*o + 12. Solve -o*i + 0*i + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-5))\/((-12)\/(-40)) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.3 - -1.3. Let n = 882.822 + -882.862. Sort 2, -5, n, w in increasing order.\nAnswer: -5, n, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4055106 (base 8) to base 9.\nAnswer: -2013062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q - 2, 0*q = -z - 2*q + 8. Solve 3*o = -2*o + z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*l = -20*l + 210. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - 137?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -2 + 14. Let r = -29 + 94. Suppose -z = y - r. What are the prime factors of y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -629144.\nAnswer: 3\/629144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 6*a + 16. Let z = 10 - 20. Let s = a - z. What is the nearest to -1 in s, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 416876629 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) - sqrt(2)*-2) + -1 - (-5*(sqrt(2) + sqrt(2) + 0))**2)*-1.\nAnswer: -3*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*p**3 + 130*p**3 + 107*p**3 - 342*p**3.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3608 and 24272.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*c**6 + 115*c**5 - 85*c**3 + 357759*c**2.\nAnswer: -240*c**3 + 6900*c**2 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together -6556819 and 3.\nAnswer: -6556816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be 30186\/(-273) - 12\/28. Do c and -135 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4012 by -236.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*k - 177 = -36*k. Solve k*c + 5*b + 20 = -0*c, -2*b - 8 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1235 and 117572?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {t: 5, a: 10, e: 4}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 1:55 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3148*v + 6529 wrt v?\nAnswer: -3148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*v**2 + 9*v**2 - 19*v**2.\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-7)*(-595)\/(-34)*(-20)\/25. Solve -q*g + 13 = -3*a, -18*g = -20*g + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 27498*t**2 + 6*t - 4. Let h be n(2). What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the second derivative of a**7\/6 - a**4\/2 - 41*a. What is the third derivative of l(s) wrt s?\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(6\/13)\/(x*x**(-1\/10)\/x) assuming x is positive.\nAnswer: x**(73\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 275220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 207 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 33122023302?\nAnswer: 33122023302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sum 274 and -0.094.\nAnswer: 273.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1575578 is divided by 65641.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -855586222*j - 30622092.\nAnswer: -855586222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**2 + 13*m + 12. Suppose 10*o - 5*o + 60 = 0. Let w be z(o). Solve -5*l + l - 12 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p + 55. Let i be s(20). What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**0)**(19\/4)\/((o*o\/o**(-1\/6)*o)\/o**(-1\/10)) assuming o is positive.\nAnswer: o**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.37 times -0.1085304\nAnswer: -0.040156248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*v - 40 = -83 - 143 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 310\/24 - (28 + -18)\/(-120). Solve -16*r = -29 + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1650830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 564391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 36894.999 + -36938. What is a rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/5 of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 64*x**3 + 61*x**3 - 127*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1866*c**5 + 3*c**4 - 3*c**2 + 686*c + 1.\nAnswer: -111960*c**2 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -2*w**2 + 51724*w - 2014191. What is v(39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1015 - -974. Suppose 2*r - 1158 = p, 91*r = 5*p + 93*r + 5742. Let s = o + p. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 112 = 6*x. What is the tens digit of (-7 - 136\/x) + 2794\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3385038 and -1362312?\nAnswer: 4747350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-14)\/4*(-2025)\/(-27405) and (-2)\/10*(-45)\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**3 - 12*s**2 + 12*s + 4. Let i be w(-13). Calculate the highest common divisor of 51 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 3*f - 3 = 0, 5 = a + 3*f - 4. Solve -4*b + 2 - 9 = a*g, 4*g + 3*b = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 2*w = -86, -25 + 65 = f + 5*w. Suppose 0 = k + 5, 5*h = 5*k - 0 + f. Let j be 1*7*(1 - 0). Calculate the highest common divisor of j and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -5*y**4 + 1230*y**3 - 76865*y**2 + 150060*y - 74420 = 0.\nAnswer: 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 433 or 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 8*r**5 - 76*r**4 - 40*r**3 = 0.\nAnswer: -1\/2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-1 + (sqrt(2) + sqrt(12)\/sqrt(6)*-2)**2) + -2*(-1*sqrt(8) + 2).\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -53 + 76. Suppose s = 2*m + 9. What is the derivative of 0*x**2 + 4 - 3 + m*x**2 - 2*x**2 wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 97769.4415 rounded to the nearest integer?\nAnswer: 97769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 18, 14, 6, -6, -22, -42?\n\"Answer: -2*i**2 + 2*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 567\/4 - 141. Determine t, given that 3\/4*t**3 - z*t - 1\/4*t**2 - 1\/4 + 1\/2*t**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 6*k = -5*z - 20, -k + 2 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 7645310 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40 + 117.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 8504 a factor of 2441770528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1269*b - 794*b - 163*b)*(2 + 1 - 5) - b + b + 2*b + (4 - 4 - 1)*(-b + 1 - 1) + 2 - 2*b - 2.\nAnswer: 4453*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**2 - 8*g. Let d be h(-8). Let a be 4 + -1 + (d - 1). Suppose 17 = a*p - 37. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1071 = 358*n + 1787 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -1\/2, 12, 26, 2\/73, 2.\nAnswer: -12, -1\/2, 2\/73, 2, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2*w - 41. Let q be l(-23). Suppose -q*h + 0*h + 205 = 0. Calculate the remainder when h is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19221 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of d**2 - 2*d**4 - 6*d**2 + 2 - 8*d**2 - 10*d**2 - 8*d**5 wrt d?\nAnswer: -480*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*g**4 - 2715*g**2 - 7*g + 201925?\nAnswer: -12*g**3 - 5430*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 8*d + 11. Solve 4*j - 12 = -d*t, -4*j - 12 + 0 = -3*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 7:36 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f**4 - 3*f - 6 - 4990*f**3 + 4 + 4992*f**3 + 0 + 13*f**2 to b*f**2 + z + i*f**3 + o*f**4 + r*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 3*s - 15, 18 = 3*s + 3. Suppose 0 = -m*j - 2*j. Solve j = 2*p - 6*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, j: 1}. Give prob of picking 3 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 d, and 2 b when four letters picked without replacement from {p: 3, u: 4, m: 1, d: 1, b: 2, f: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + 15 + 1 + (1 - 2) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-18)\/(-81) - 3884\/(-18). Suppose 2*w + w = t. Let j be (3\/12)\/(6\/w). Solve j*h + 0 + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10302 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-3219)\/2)\/((-34)\/(14280\/18)).\nAnswer: 5, 7, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) 8 (d) 2\/3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (602\/112)\/(10 + (81\/(-8))\/1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -43 + 26. Let i = 17 + d. Solve 3*l + 3 + i = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -8*l**3 - 133*l**2 + 52*l - 10. What is r(-17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3 + (1 - 2) + 0. Suppose d + 5*x = -18, -4*x - 22 = -d - k*d. Suppose 4*h - 8 = -3*y, 3*h - d*h + y - 2 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 6 + 0 = 0. Let b(g) = -3*g**2 - 8*g + 6. Let u(p) = 3*p**2 + 7*p - 5. Let a(w) = m*u(w) - 5*b(w). What is the second derivative of a(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 116 divide 24484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of 19*a**5\/5 - 14*a**3\/3 + 713*a + 492. Differentiate l(f) wrt f.\nAnswer: 76*f**3 - 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4091.6511 - -19145.336. Let x = -23238 + r. Let a = -1.03 - x. What is a rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 9*1\/(-6)*(-8)\/18. What is the smallest value in 1.2, d, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b**2 + 7*b - 4. Let n be j(6). Let r(t) = t**2 - 28*t + 97. Let o be r(24). Let a(h) = -246*h**n + 244*h**2 - 1 + 4*h - o. Calculate a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 280, 569, 858, 1147, 1436?\n\"Answer: 289*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*d + 4*d**2 - 46*d + 2*d**3 + d - 4*d**2.\nAnswer: 2*d**3 - 60*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2013769\/115 - -17511. What is the biggest value in 6, 0.2, g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 391843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*z**3 + 35 + 126*z + 68 + 115*z - 243*z to w + u*z + t*z**2 + a*z**3 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4, -2, 18, 62, 136, 246, 398?\n\"Answer: t**3 + 3*t**2 - 14*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 854 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -256\/15 - -262\/15. What is the closest to 23 in -1\/2, 3, -0.4, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 624*f**3 - 14*f**2 + 20*f + 23. Let z be m(18). Suppose -5*o - 3*g - z = 0, 15*o = 10*o + g - 3634995. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 12*s + 63. Let f(q) = q**3 + 6*q**2 - 5*q + 9. Let v be f(s). Suppose v*i - 36*i - 597 = 0. What are the prime factors of i?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 31 - 36*g - 45 - 4*g + 0*g wrt g?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -4*s**3 - 15*s**2 - 25*s - 69. Let x(w) = w**3 + 4*w**2 + 6*w + 17. Let n(f) = -2*l(f) - 9*x(f). Calculate the least common multiple of n(-7) and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3482897 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 13826, 13082, 12338, 11594?\n\"Answer: -744*y + 14570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-114)\/209*(-1)\/3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 77 and 3402.\nAnswer: 37422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 21 - 5963492?\nAnswer: -5963471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 3*f - 57 = 0. What is the remainder when f is divided by 1\/(80\/(-28) - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -26.66 + -0.34. Let z = 25 + r. Sort -1, 0, z in descending order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 10*w**2 + 9*w + 3. Let o be u(-9). Suppose -o*t + 22 = 4. Calculate the least common multiple of t and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2094658\/11 at most as big as 190424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6*n**4 + 43*n**3 - 136 wrt n?\nAnswer: 24*n**3 + 129*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 1332?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4427.978895 - -4428. What is x rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*r**2 + 157 + 162 - 2*r**2 + 4*r**2 - 320 - 401*r in the form s*r**2 + w + z*r and give z.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -100011100111 (base 2) in base 8?\nAnswer: -4347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -24.9 - -27. Let q = m + -0.1. Let p = 2666 + -18663\/7. Which is the third smallest value? (a) q (b) 1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -10*a**2 + 8*a + 3. Let l(k) = -k**3 - k**2 - k - 1. Let f be l(-2). Let b(h) = -h**2 + h + 1. Let g(y) = f*b(y) - u(y). Does 16 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*b + 2*b**2 + 3*b)*(-30 + 111 - 30) - 1 + b**2 + b**2 + 3 to y + z*b + q*b**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5701 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/p**12*p)\/(((p*p**(-31\/5)\/p)\/p)\/p)*(p**(2\/7))**(-47\/5) assuming p is positive.\nAnswer: p**(-122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 461*k - 548 = 598*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3\/13 - 160*z**2\/13 - 3496*z\/13 - 11552\/13.\nAnswer: -2*(z + 4)*(z + 38)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (89 + -494)*(-1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -5*a - 5*a - 9 - 11*a**3 - 16*a**3 - 12*a**2 - 3*a + 25*a**3. Give h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 8, a: 5, d: 1, n: 1, r: 5}. Give prob of picking 1 a, 1 n, and 1 r.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -151\/1368 and -67\/114.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 3*w = -v + 27021, -v + 27006 = -2*w. Suppose -5*n - q - 135004 = 0, n + 4*q = q - v. Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/(-21))\/((-140)\/126)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 148763\/375 >= 396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + 6\/(-9))\/(5\/(-75))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, z: 4, u: 2, m: 3, n: 2}. What is prob of picking 1 s, 1 m, and 1 n?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 1)*(-s + s - s**2) + (-1 + 3 - 3)*(-3*s - 2*s + 0*s)*(13027 - 249*s - 13027).\nAnswer: -1244*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 1159*p - 7 + 744*p + 1. Let m be (-48)\/(-18) - (-6)\/(-9). Let r be v(m). Round r to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 4*i + 349 + 811 = 0, -3 = 3*i. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28366229 and 46572?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-2 + 5 + -1). Let n be (1\/t - 26)*-1. Let y = -44 - -244. What is the greatest common factor of n and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 111 - 76 = 5*c, -5*c = -3*x. Let -n**2 - 55\/6*n**c + 14\/3*n + 4\/3 + 25\/6*n**4 = 0. What is n?\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 938 by -67.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 79 - -6?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*j + 20*j + 32*j**2 - 342*j**3 + 2*j + 7*j - 33*j**2.\nAnswer: -342*j**3 - j**2 + 38*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*k = 8*k + 12. Find v, given that 0 - 2\/7*v**2 + 2\/7*v**k + 2\/7*v - 2\/7*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 175 - 897\/5. Let j = -4\/2293 - -4622\/20637. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4561 != -4561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*p - 25 = 126*p + 5*u, 2*p + 3*u + 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -4*a + 4*a**3 + 1 + 3*a**2 + a**2 + 3 + 0. Let z(m) = -m**4 + 3*m**3 + 5*m**2 - 5*m + 5. Let u(y) = 5*b(y) - 4*z(y). Factor u(s).\nAnswer: 4*s**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 + -13. Let a = s - -13. Suppose 4*g - 54 = -a. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 + 5*h**2 + 3*h - 1. Let x be (3 + 2)*(-1 - -2). Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42545615549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 14) + (152 - (-16 + 16 + -3))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.72 - 2.12. Does 3\/22 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iew when three letters picked without replacement from iveiivvwonnovee?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 72828277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20326*d**2*i**3 - 2*d**2*i**2 + 69*d**2 - 73*d*i - 2*i**4 wrt i?\nAnswer: 121956*d**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 2*s + 12 = 0. Suppose -a = -s*a. Solve a = 5*l + t - 24, 0*l - 3*t = -l + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the third derivative of 0*t + 0*t**4 - 1\/15*t**5 + 0 - 3*t**2 - 1\/2*t**3. What is the first derivative of u(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -659 - -582. Which is greater: -80 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 839857 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -2 + 0 + 2*o + o - o. Let y(q) = -q**2. Let w(m) = -4*m**2 - 3*m + 3. Let a(g) = -w(g) + 3*y(g). Give 2*a(r) - 3*b(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -137\/6110, -0.055, -0.2 in decreasing order.\nAnswer: -137\/6110, -0.055, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1895\/3 - (-2)\/6. Let v = o - -291. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-93)\/2883*(-4)\/(-2)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5828081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 86 = -0*g. Let y = 149 + g. What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p**3 - 230*p**2 + 10853*p + 11084 = 0. Calculate p.\nAnswer: -1, 68, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 9921 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19021.509962 - 0.009962. Let t = 19018.900025 - j. Let x = -2.6 - t. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of -d**3\/6 - d**2\/2 + 2*d. Let o be m(-4). Suppose -4*c + c = 5*v - 34, -o*v = 2*c - 21. Solve -c*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in eighty-seven halves of a decade?\nAnswer: 5220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 4 - 4)*(-2 + 14*f - f + 2*f).\nAnswer: 30*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -5*s**3 - 609*s**2 + 134*s + 1464. Give b(-122).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2116)\/(-46))\/46*0*-1*(-2)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*t - 14 = 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5274020849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-19)\/((-1045)\/6))\/(((-4)\/(-10))\/(-1))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:02 AM and 4:31 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2, 204664, -45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of d**3\/6 + 3*d**2 - 4*d. Calculate u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 3*x**3 + x**2 - 2*x + 1. Let w be u(1). Solve -w = 2*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -42, -2169, 8, -1, -1\/4, -0.1 in ascending order.\nAnswer: -2169, -42, -1, -1\/4, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 495, 461, 427, 393?\n\"Answer: -34*r + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6952 = 4*p, 0 = -3*c + 33*p - 29*p + 10398. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -679822, -5438505, -18354922, -43507939, -84976422?\nAnswer: -146839237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 15, 4*v - 2*z - 2*z + 32 = 0. Let t = 85 + -511\/6. Which is the closest to -1? (a) t (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wlwmzmzlw. Give prob of picking 1 l, 2 w, and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-504)\/(-15))\/(((-64515)\/850)\/253)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 97891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 4*j. Let l(v) = -v. Let f(x) = -6*x. Let s(r) = f(r) - 5*l(r). Calculate s(q(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(1 + sqrt(847)) + sqrt(847) + -3 + 5)**2*-6.\nAnswer: -81366 - 1584*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-12 + 16)\/(2 + -1). Let y(g) = 7*g**2 - 5*g + 8. Does 13 divide y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 3*u**2 - 55*u + 58. What is p(18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 - (-51 - 31 - -139).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -56 + 106 - 51 + 7*f as y + b*f and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2186363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of 247*n**6\/2 + 42*n**3 - 6*n - 35. Find the third derivative of y(s) wrt s.\nAnswer: 44460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:13 PM and 6:28 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.3 (b) -1 (c) -4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 12797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are 48399\/4 and 12099 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 PM and 3:54 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -36296814 by -3.\nAnswer: 12098938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:12 AM and 4:36 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {q: 6, e: 1, z: 2, g: 1, p: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the first derivative of u**2 + 13. Let b(k) = -k**2. Calculate q(b(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 155?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 3*t - 6 = -2*t, 10 = -2*m + t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88) + (sqrt(88) - 3*sqrt(88)*2) - -1*(sqrt(88)*-2 - sqrt(88)))\/((sqrt(8) - sqrt(384)\/sqrt(3))*-5).\nAnswer: -7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the second derivative of o**5\/20 + 2*o**4\/3 + 2*o**3 - 9*o**2\/2 + 3494*o. Determine y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9730 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 49*c**3\/3 - 429674*c**2\/3 - 491104*c\/3 - 140320\/3.\nAnswer: (c - 8770)*(7*c + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.11874 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 3 r when four letters picked without replacement from hrrrohhhrh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**2 + z**2 + 2*z**2)*(0 - 2 + 3) + 6 + z**2 - 6 + (-z**2 + 3*z**2 - z**2)*(6 - 2 - 2).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 24 = b + 2*v, -3*v = -5*b - 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5543 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 - 2. Let r be (204\/4850)\/(i\/30). Let j = r + 3\/97. Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 161*d**2 - 5*d + 20?\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3.9566779 - 3.957. What is k rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-50045)\/(-8) - (-678)\/1808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:11 PM and 8:57 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -14*z - 8. Let m be h(-10). Let l(b) = -3 + 5 + 3*b**3 - 2*b**2 + 3*b - 4 - b**3. Let a be l(2). Calculate the greatest common divisor of m and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -41*a - 877 - 66. Put 2, a, 1, 4 in increasing order.\nAnswer: a, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 552 is divided by 162?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -144641 + 252352. Let n = 155711 - d. Suppose -l - 5*y + 120000 = -6*l, -n = 2*l + y. What is l rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 - 24 - (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of -f**6\/90 - f**5\/60 + 5*f**4\/36 - f**3\/6 - 16*f + 2. Factor m(t).\nAnswer: -t*(t - 1)**2*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-8) - (6 + (-212)\/16). Suppose -1070 = 2*b - c*b. Suppose 4*l - 262 = b. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 468 divided by 1312195\nAnswer: 468\/1312195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 13c0872?\nAnswer: -13c086c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gdbskss. Give prob of picking 1 b and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 43*m**2 + 30591*m + 12753. Determine y(-711).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 6, a: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 139*t. Let r(m) = 14*m - 10. Let q(l) = -11*l + 8. Let g(h) = 5*q(h) + 4*r(h). Give x(g(c)).\nAnswer: 139*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 PM and 7:58 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 7) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 - 12*i + 6. Let m(o) = -23*o**2 + 322*o - 161. Calculate -6*m(v) - 161*t(v).\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.4 + -0.6. Let v(n) be the first derivative of -n**4\/4 - n**3\/3 - 5*n**2\/2 - 12*n + 32. Let d be v(-2). What is the nearest to a in -7, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (4 + -1 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 17 - 1. Suppose -185 = -3*d - 2*f, 4*f = 4*d - 147 - 93. Suppose d = 4*h - 75. What is the remainder when h is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(432) + 1)*-3)**2 - (-1*sqrt(96))\/sqrt(8).\nAnswer: 218*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -37 = -3*q - 16, 15*y - q = 14 - 96 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, k: 3, a: 1, t: 1, s: 2}. What is prob of sequence tc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 + 0 = 3*m. Suppose 0 = 3*n - 5*j - m, 2*j + j + 3 = 0. What is the least common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.15 (c) -0.3 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 2*o - 20 = 0, 3*p + 4*o = 3 + 9. Suppose 0*d - 2175 = -5*c - p*d, 2*c = d + 883. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 62*s**4 + 571*s**3 - 91908*s.\nAnswer: 744*s**2 + 3426*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.86 + 180616435089.\nAnswer: 180616435091.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1068333 + -44.\nAnswer: -1068377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -323302012 + 32100?\nAnswer: -323203312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -14*j**3 + 6*j**2. Let h(s) = 13*s**3 - 5*s**2. What is 7*h(g) + 6*l(g)?\nAnswer: 7*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x - 12. Let j be k(-19). Suppose 0 = 4*b + q - 2, -q - j = -6*b + b. Let h = -1400 - -1402. Solve -3*g + 2*l + b = 0, h*g + 6 = 3*g + 5*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 40 and 5910670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66629, -66637, -66645, -66653, -66661, -66669?\nAnswer: -66677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(500) + -2).\nAnswer: -4 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50625 divided by -10125.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.02? (a) -1\/7 (b) 1\/108 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9.129 - -8.929. Put 0.2, -1\/8, 12.5, v in ascending order.\nAnswer: v, -1\/8, 0.2, 12.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 565*x - 554. What is h(3)?\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from cicblyx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -7502, -6, 3, -3 in descending order.\nAnswer: 3, -3, -6, -7502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1671 + 5018\/3. What is the closest to -1 in -3, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -7, -5 in ascending order.\nAnswer: -14, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p + 26*p + 4 = -64. Suppose 3*o - 927 = j, 4*j + 0*j + 3715 = 5*o. Let n be (-126)\/j - (-2)\/(-10). Which is the biggest value? (a) 3\/5 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2+747350.8\nAnswer: 747351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34, 68, 114, 178, 266, 384, 538?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1629*z - 344*z + 4 - 963*z + 532*z + 29*z to the form h + j*z and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 180 = -3*u. What is the highest common factor of 60 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 5*w**2 + 3*w + 17. Let q be 44\/(-10) + 6\/(-10). Let v be z(q). Suppose 5*d = v*c - 324, 4*d - 69 = c - 225. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (9316*c - 7420*c + 1304*c + 8344*c + 3035*c + 13502*c)*(-2*c - 2*c + c) to h*c + d + s*c**2 and give s.\nAnswer: -84243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2759*g + 103 = k + 2747*g, -k - 41 = 4*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (0 - (-6 - -8) - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 - 27 = -3*s - z, -3*s = -5*z + 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/40 - -10)*25\/10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q - 2. Let d be x(-4). Solve 0 = d*a - 5*a - 5*h - 40, 20 = -2*a - 2*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 5*b - t + 4*t, -2*b + 2*t - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 1:57 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -14*y - 24*y - 3*y**2 - 2 + 40*y in the form u*y**2 + f + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -2*s + 10. Let m be w(7). Which is the closest to 0? (a) m (b) 0.2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/28*1580\/(-237))\/((-7)\/(-343)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 + 7 = -2*s. Calculate the remainder when 63 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llxp when four letters picked without replacement from lbpyqyqlxxqyx.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 2168 = -y - 2*x, 4*y + 5*x - 4300 = 0. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000163797 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 - 12*n**2 + 15*n - 115. What is the hundreds digit of h(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(3) + -1*sqrt(3) + 3 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the second derivative of -r**3\/2 + 5*r**2 - 2*r + 2. What is b(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 822 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(d) be the second derivative of -d**7\/70 + 3*d**6\/25 + 3*d**5\/50 - 3*d**4\/5 - d**3\/10 + 9*d**2\/5 + 2*d + 751. Let u(p) = 0. What is p?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1176) + (sqrt(1176) - sqrt(1176)*-1*3))\/(3*sqrt(160)\/sqrt(5)).\nAnswer: 35*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 2*h**2 - 50*h - 250. Give b(31).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*p, 3*g - 12 = p - 0*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -t**6\/40 - t**3\/3 - 3*t. Let u(m) be the second derivative of p(m). Let o(w) = -2*w. Give u(o(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 9:07 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13767155 is divided by 2701?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -2\/13, -2\/1697, 3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-11)*u)\/u)\/u*u**(6\/11)*u*(u\/(u\/(u\/((u\/(u\/(u**(-2)*u*u)))\/u))))\/(u*u**(-12)*u*u) assuming u is positive.\nAnswer: u**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2086472*v**2 + 76687*v - 2.\nAnswer: 4172944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 895 - 124403\/139. Sort 1\/3, j, 0 in decreasing order.\nAnswer: 1\/3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 4, 0*x + 8 = 5*p + 2*x. Factor w**3 - 6*w**5 - 3*w**4 - p*w - 5*w**2 + 8*w**2 + 0*w**4 + 7*w**5.\nAnswer: w*(w - 2)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -835 - -850. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y + 880 = 4*y. What is the remainder when 18 is divided by (2 + 15\/(-6))\/((-4)\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of x**6\/30 - 2*x**5\/25 - 3*x**4\/5 - 14*x**3\/15 - x**2\/2 + 1836. Find a, given that j(a) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(304) + (sqrt(304) - (-4 + sqrt(304) + sqrt(304) - sqrt(304))) + sqrt(304))*-2*3 + 5*(sqrt(304) + sqrt(304)*-2)*-4)**2.\nAnswer: -1664*sqrt(19) + 20132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1967796 and 8037?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 44 + 102. Let f = k - 137. Solve -2*w - 3*a - f = 0, 5*a = -2*w - 13 - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15\/19 > 42769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from {y: 2, j: 2, q: 1, f: 3, w: 6}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -5*a + 176, 2*a = -n + 4*a + 169. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24 + -2 - 5) + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/120 and -139\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2820\/377 + 95\/13. What is the third smallest value in 0, w, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 406 - ((-20)\/(-12))\/((-2)\/6)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a - 4 + 3 + 2*a)*(-186 + 186 - 24*a**3) - a**3 + a**3 + a**4.\nAnswer: 25*a**4 + 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/1584*9)\/((-1)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 2*o - 9 + 109 = 0, -621 = -20*g + 5*o - 62 + 116 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 2.6 (b) -92\/7 (c) -0.063 (d) -1\/2 (e) -1\/8 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -2*f. Let m(k) = -k - 7204082. What is m(a(n))?\nAnswer: 2*n - 7204082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.4 + 0.4. Let c = 2.8 + -2.8. Sort 1\/2, f, c in ascending order.\nAnswer: f, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1184, 4, -1 in decreasing order.\nAnswer: 4, -1, -1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12\/8 + 3\/12*6. Put -5, -3, -6, t in descending order.\nAnswer: t, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -8*p - 2. Calculate c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:39 AM and 11:05 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*h + 15 + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9 + 8*w**4 + 2*w - 10*w**4 - w**2 + 4*w**4 to i + h*w**2 + c*w**3 + k*w**4 + u*w and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 3*o - 7, -4*s - 5 = -s + o. Let k be (-8 + 0)*1\/s. Suppose -76 = -k*r + 688. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 - 0)*-4*1\/4. Suppose n - 7 - 160 = a. What are the prime factors of n?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 64 and 1168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes after 7:12 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -66 or -60?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/5919 - 3940\/17757. What is the closest to 7 in -0.4, m, -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 1 = -2*i. Suppose 0 = -i*p - 7 + 22. Suppose -5*n = -p*n. Solve n = -q + 4*q, k + q - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1125 + -2535. Is (-4)\/1*j\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -172*f**4 - 504*f**3 - 480*f**2 - 136*f + 12 = 0?\nAnswer: -1, 3\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 203 divide 251517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the first derivative of -n**3\/3 - 1. Let m(p) = -23*p**2 + 45*p**2 - 21*p**2. Determine 5*f(k) + 2*m(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 0)*(0*z - 3*z + 9*z)*(4 - 1 - 2 - z) to the form g*z + l*z**2 + n and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 2 - 2*i + 4*i - 3. Calculate the lowest common multiple of n(6) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 355 = -4*v, 4*v - 130 = 4*m - 6*m. What is the lowest common multiple of m and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 813, 830, 835, 822, 785?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -458*c + 449*c + 9558. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 5*l. Let s be k(1). Suppose -2*c = 4*x - 24, 649 = 2*c + 2*x + 637. Sort c, s, 4 in decreasing order.\nAnswer: s, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(312)\/(sqrt(36)\/sqrt(3)) - (sqrt(26) + sqrt(104)*6)))\/(4*2*sqrt(8)*1).\nAnswer: 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000957064 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 1204407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/7))**(-30)*(g\/((g\/((((g*((g\/(g*g\/(g*g*g*g**(-13)*g*g*g)))\/g)\/g)\/g*g)\/g)\/g))\/g))\/g*g\/(g**(-1\/5)*g) assuming g is positive.\nAnswer: g**(-678\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/3980 and -31\/8.\nAnswer: 7960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 15*y. Let t be o(2). Let w = 26 + -16. What is the greatest common divisor of t and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 15) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -131, -124, -115, -104, -91, -76?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67255 is divided by 295.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2002012 - -202210?\nAnswer: 2211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15860593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 6 = -4*h. Let r(s) be the first derivative of s**3\/3 - 3*s**2\/2 - 8*s - 51. Let d be r(5). Solve -5*t = h*y - 2*y - 30, -4*y = -d*t - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 PM and 5:12 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1114.5 + 1114. Let x = 1.36 - 1.06. What is the nearest to -5\/33 in x, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xllxxxxxll. Give prob of picking 2 l and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooccqtnyoyoqqyoyqc. What is prob of picking 1 q, 1 n, and 2 o?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14 - -62?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 13226\/136 + 1\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 1. Let i(l) = l**3 + 9*l**2 - 9*l + 12. Let g be i(-10). Let x(c) = 1 + 2*c**g + 6 + 4*c - 3*c. Let r = 15 + -21. Calculate r*d(o) + x(o).\nAnswer: 2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 189339771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**3\/3 + 8*o**2 + 10*o\/3 - 44.\nAnswer: 2*(o - 2)*(o + 3)*(o + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -353000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 2*u = -2044, 17*q - 2*u - 10196 = 12*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 11\/2 - ((-10819)\/(-42))\/31 - -3\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 35090416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-4 - 98) + 121 + -1 + 0 + -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 242 = 5*u - 2*p - 14, 5*u - 5*p - 265 = 0. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3 + -1*((-2*sqrt(832))**2 - sqrt(832)) + 3*sqrt(832) + 2 + sqrt(832) + 5.\nAnswer: -3328 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -101*t. Let x(d) be the third derivative of d**4\/12 - 3*d**2. Determine x(q(k)).\nAnswer: -202*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 9\/2*((-56)\/21 + -2). Let w be ((-6)\/i)\/(-4*(-1)\/28). Solve 14 = -4*n - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 3*a**2 + 4*a - 3. Determine w(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/(-10)*120\/24. List the prime factors of k\/((-12)\/657)*40\/15.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -3*t**2 - 2*t - 1. Let r(j) = -j - 7. Let b be r(-8). Let o(k) = 79*k**2 + 0 + k - 76*k**2 + b + 2*k. Determine -3*n(p) - 2*o(p).\nAnswer: 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 87370.24 years in millennia?\nAnswer: 87.37024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11001312 + -1?\nAnswer: -11001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2 - 7*d + 11. Let c be (4 - 1) + -6 - -8. Let w be i(c). What are the prime factors of w\/(-6) - 2255\/(-66)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1205, 0, -5 in increasing order.\nAnswer: -5, 0, 1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2211 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 381, 3293, 11257, 26823, 52541, 90961, 144633, 216107?\n\"Answer: 425*i**3 - 24*i**2 + 9*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 26*l - 659. Determine t(24).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2592 and 6264?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20791197?\nAnswer: 3, 7, 330019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2471, -4946, -7421, -9896, -12371?\n\"Answer: -2475*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23473 + 23472. Let x be 1 - -3*2\/(-9). Which is the closest to p? (a) x (b) -3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 6:14 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*d**3 + 5*d**3 - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 130379 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -94.73 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 36647277 to the nearest one hundred thousand.\nAnswer: 36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 35 = 3. Let d be 58\/8 - (-1)\/(h\/(-12)). Solve -5*u = g - 10, -10 = 3*u - d*u - 5*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of -k**5\/40 - k**4\/12 - k**3\/3 - 3*k**2. Let j(u) be the first derivative of f(u). What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.5459 + 0.581. What is i rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -109\/47 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pzzp when four letters picked without replacement from ppzpzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 898586483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes after 5:04 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-27)\/15 + 2 - 267\/(-15). Suppose -1 + k = n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 78*n + 364 + 0 = -26 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3563224*m**4 - 683045*m wrt m.\nAnswer: -42758688*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.2 + 1.3. Let s be (98 + -96)*(-1)\/7. What is the third smallest value in 1\/7, i, s, -0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3529, -7064, -10595, -14122, -17645, -21164, -24679?\nAnswer: -28190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 88 + (-3 - (162 - 82))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 - -35 - (0 + 0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 14346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 + -1 + (17 + -2)*13\/130. Let u = 0.017 - -0.483. What is the nearest to k in 0.4, -37, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 - -122. Suppose -4*f + 8*f + r = j, 4*f = 3*r + 84. What is the smallest common multiple of f and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -49 + 60 + (0 - 9). Let b(w) be the first derivative of -1\/12*w**3 + 0*w**2 - 1\/8*w**4 - d - 1\/20*w**5 + 0*w. Solve b(q) = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4018140 by -66969.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 957075997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5446020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 1 + 4 + (87 - 87).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (n**2 + n**2 + 0*n**2)*(4*n**3 - 3*n**3 - 2*n**3) - 67*n - 2*n**4 + 67*n + 9*n**5.\nAnswer: 7*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 - 54) + -708 + 714?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24 - 62. Let g = j - -37. What is the biggest value in 3, g, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(-28)\/(-4)*(-22)\/(-154).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -50 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-30)*-2*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 - (1 - (-2 + 5)). Let n be ((-1)\/(1\/2))\/m. Let q = -85 + 82. What is the third smallest value in 0.5, q, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - -8) + 4 + -5 + 63 + -30 + -7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 13*r + 26. What is l(-10)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**5 - 27*u**4 - 166*u**3 + 252*u**2 + 392*u.\nAnswer: -u*(u - 2)*(u + 1)*(u + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 10*z**3 - z + 3. Let t be n(-3). Round t to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 10, -1, -29 in ascending order.\nAnswer: -29, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12 and 272.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - 3 - -2)\/1. Suppose 0 = 5*c - 4*w + 16, -3*c + m*w - 2*w = -8. Let l = 9 + c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xtxxtt. What is prob of sequence xtt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (18 - (-6 - (-19 + -10))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -2. Solve 0 = 5*u + 20, 0*w - 8 = -3*w + s*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, m: 1}. Give prob of sequence muu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -270918 = -72*t - 124*t + 22*t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-36 - 8) + 3 + 2 - (67 - 68)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 - 18115153.\nAnswer: -18115151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20*12651.\nAnswer: -253020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*f**2 + 4*f**2 + 2*f**2 + 0*f**2 + 4*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.068 + 0.468. Let j = 3.98 - -0.02. Let w = 2250 - 2253. Which is the second biggest value? (a) j (b) -5 (c) w (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 + (-3 - -1) - -3) + (-54 - -61)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 52\/685245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -402834051*q + 240792446 wrt q.\nAnswer: -402834051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -2652 (base 8) to base 13.\nAnswer: -877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 k when four letters picked without replacement from aakkakaamaaaaaamkka?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -56 + 61. What is the nearest to 0.1 in c, -2\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 6*f**2 + f + 1. Let p be i(-1). Is 27\/(-12)*(-32)\/p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q**2 - 3*q**2 - 6*q**2)*(-98*q + 172*q - 101*q)*(4 - 2*q - 4).\nAnswer: -324*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 5615 (base 11) to base 2.\nAnswer: 1110011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1201021200021 (base 3) in base 9?\nAnswer: -1637607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 2102880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 29005181 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -25913 - -50218. Suppose -5*h + h - 5*l + 19444 = 0, -2*l = -5*h + s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -29893 - -58104. What are the prime factors of c?\nAnswer: 28211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 283720298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b = 8*b - 22. Suppose 205 = 4*n - 5*m, b*m - 6*m - 235 = -4*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -108992 - -599049. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 4*b + 607, 31*h - 34*h + 354 = b. Let r(l) = -5*l + 61. Let o be r(8). Calculate the greatest common factor of o and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-3 + sqrt(300)*-1*1 - 3*((sqrt(300) - (sqrt(300) + 0 - sqrt(300))*6) + sqrt(300))))**2.\nAnswer: 140*sqrt(3) + 14701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 76\/9? (a) -3 (b) 0.2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -4 - -3) + -1 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 335039, 335045, 335055, 335069, 335087?\n\"Answer: 2*a**2 + 335037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2704274 divided by -6\nAnswer: 1352137\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2138543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 5*s + 6. Let k be q(-3). Let y be 4*(k\/(-4) - 1). Put 2, 1, y in descending order.\nAnswer: y, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-858)\/264)\/((-1)\/(-2))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = d - 3551*p + 3548*p, 2*d + 5 = p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2116\/(-6))\/((-1)\/3). List the prime factors of 16608\/23 - 92\/d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -70*f**3 + 27*f**3 - 50*f**3 - 50*f + 7*f**3 wrt f?\nAnswer: -516*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 6) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8358.0000015292 - 8358. What is w rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 + 7*z**2 - 7*z - 22. Let o = -266 + 0. Let q = 268 + o. Let n(l) = 2*l**2 - 2*l - 7. Determine q*a(x) - 7*n(x).\nAnswer: -2*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -2*x + 5. Let f(z) = 3*z - 10. Let s(w) = 3*f(w) + 5*y(w). Let r be s(-5). Let j(n) = r + 2*n + 0. Let g(k) = -2*k**2. What is j(g(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 10218, -3, -5, 0, -1.3 in increasing order.\nAnswer: -5, -3, -1.3, 0, 10218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -26514.06 to the nearest 100.\nAnswer: -26500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102*d - 33*d + 135*d - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 170\/(-45) + 4 + (-2912)\/(-18). Suppose 2*k - 58 = -5*p + b, -3*p - 4*k = -118. Suppose -4*o + 11 + p = -5*u, 5*o + 3*u = 25. Solve -o*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 14) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.05, -0.3, -3\/22, -29, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 135*u - 1645\/2 - 5\/2*u**2 = 0. Calculate u.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4240 and 21360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 5, s: 3, d: 5}. What is prob of sequence ssda?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, -71, -166, -303, -488?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 234219810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s**5 + 3*s**4 - 27*s**3 + 33*s**2 - 12*s = 0 for s.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 337c?\nAnswer: 3382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3*8\/(-4))\/((-5)\/(-15)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -5*a + 28. Let k be v(5). Suppose -k*c = -6*o + 4*o + 5, -5*c - 3 = -2*o. Solve -o*y = 4*l - 18 - 14, l = 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - -7 - (24 - 14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3693323 - -9?\nAnswer: 3693332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -233264 - 966445 = -704*y - 18339*y for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -148*0.01.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = -138*a + 1859 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -10837, -21922, -33007, -44092, -55177, -66262?\n\"Answer: -11085*t + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 36\/(-54)*(-8)\/(-12)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2092 and 36182.\nAnswer: 37846372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.08936 + -0.061854. Let y = -0.362558 - d. Let p = y - -0.39. What is p rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 405022 and 1878.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 3 + (2 - 4) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2660 (base 11) to base 6.\nAnswer: 23554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*n + 528 - 1448 = 23*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9162 is divided by 435.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -50 - -49.7. Let j = o - -0.4. Put 1, 3\/8, 4, j in ascending order.\nAnswer: j, 3\/8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6858 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 23\/22 - 6\/11. Let g = -18931 - -18932. Which is the second smallest value? (a) 8 (b) 0 (c) g (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8672 is divided by 8505.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/105 and 29\/75?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than -2\/6142539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kv when two letters picked without replacement from kcjcv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -30256545 + 101?\nAnswer: -30256444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m - 38340 = 2*m. Round m to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 770 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by 5406\nAnswer: 1\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4*r - 4 = 0, r + 0*r - 16 = -4*x. Solve -4*j = -4*l + 8, 0 = -2*l + x*j - 3*j + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4978575288 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f + 2. Suppose 2*i - 5*u - 48 = -2*i, 4*i - 12 = -4*u. Suppose 17 = -4*q - i. Let l(g) = g + 3. What is q*d(p) + 4*l(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -41, -2, 6, -1\/7 in increasing order.\nAnswer: -41, -2, -1\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - z = 4, -3*i = 3*z - 5 - 1. Let h(w) = 1 - 2 + 2 - w. Let c be h(i). Solve c = -4*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p - 10*p - a - 1081 = 0, -a - 3243 = 3*p. Let n = 1112 + p. What is the remainder when n is divided by (0 - 1)*(-18 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j - 6*j + 3*j)*(-j**3 - j**3 + 3*j**3) - 6*j**4 + 0*j**2 + j**2 + 3*j**4.\nAnswer: -6*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 2:45 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35 - 16. What is the derivative of -y + 25*d - 28 + 30 wrt d?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -4.566 and 49?\nAnswer: 53.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2\/47, 0.1, 23.9, 1\/4, -6, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 26318161 or 26318199?\nAnswer: 26318161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p. Let t(q) = -5*q - 1. Suppose -7 = h - 20. Let g(k) = h - 13 + 12 + 1 - 12*k. Let m be g(2). Determine m*o(l) + 2*t(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -105658263283\/8100 - -13044230. Let p = -2\/405 - m. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 14*l**3 + 37*l**2 + 9*l + 71. Let m(j) = 6*j**3 + 18*j**2 + 4*j + 35. Give -9*m(c) + 4*w(c).\nAnswer: 2*c**3 - 14*c**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 907683?\nAnswer: 3, 7, 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 12653 + -12655. Sort 0.4, -1\/2, 4\/5, b, 1.9 in ascending order.\nAnswer: b, -1\/2, 0.4, 4\/5, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 494\/(-30) + (-18 + 3)\/5. Is -18 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, 5, -6, 4\/73, 0.1 in increasing order.\nAnswer: -6, -1, 4\/73, 0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -562*b + 1072. Give r(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -209 - -208.906. Let w = -3.906 + v. Sort w, 5, 6 in decreasing order.\nAnswer: 6, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -19049, -76241, -171557, -304997, -476561, -686249, -934061?\n\"Answer: -19062*w**2 - 6*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -9*n + 23. Let u = -43 + 29. Is d(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13118\/2735 - -2\/547. Find the common denominator of -3\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 5*m = -457. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50686230?\nAnswer: 2, 3, 5, 7, 241363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 1 - 281*v**3 - 6 - 6 + 293*v**3. Let f(r) = -4*r**3 + 4. Determine 8*f(s) + 3*x(s).\nAnswer: 4*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of u**8\/840 - 4*u**7\/525 + u**6\/50 - 2*u**5\/75 + u**4\/60 - 31*u**2. Factor x(m).\nAnswer: 2*m*(m - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36064 - 7*s + 38002 - 74066.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.1 - -5.3. Let j = h - 9.2. Which is the second biggest value? (a) -4 (b) j (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-30)\/(-72))\/((-5)\/(-3)) + (-582)\/(-8). Solve 74*o - x*o + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/10)\/(((-11529)\/(-252))\/(-61))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.11 + 0.11. Let f = -2 - q. Which is the closest to -1? (a) -2 (b) f (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 39844.9 to the nearest one hundred.\nAnswer: 39800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(102)*2*-3 - (sqrt(102) - sqrt(102)*-2)*-5)*-4)\/(2*(sqrt(1500) + (sqrt(1500) - sqrt(1500)*-2))\/sqrt(10)).\nAnswer: -9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 489982331 to the power of 1\/3, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 63\/3*180\/420.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 90720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2776 - 42368 = 2508*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 + 12*z + 24. Let q(m) = 4*m**2 + 48*m + 97. Let x(h) = 2*q(h) - 9*v(h). What are the prime factors of x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -86 or -613?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*f**4 + 31*f**3 + 1431*f**2 wrt f?\nAnswer: -360*f + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -y - 14*u + 11*u + 15, 4*y = 5*u - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/39 in 6, -1, 57, 1, 5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 8*q**3 + 7*q. Let c(f) = -f**3 - f. What is -6*c(o) - g(o)?\nAnswer: -2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-2*sqrt(70) + sqrt(70) - -5*sqrt(70)*2)*-2)\/(sqrt(250) + sqrt(250)*3*6 - (-4*(sqrt(250) - (sqrt(250) - -3*sqrt(250))) - sqrt(250))).\nAnswer: -21*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31 divided by -25502.\nAnswer: 31\/25502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5\/2, 0.4 in ascending order.\nAnswer: 0.4, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 102*b**3*s**2 - 10*b**3*s + 38*b**3 + 2*s**3 wrt s?\nAnswer: 204*b**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/4, -0.9, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 162*z**2 + 297900*z + 136951250 = 0. Calculate z.\nAnswer: -8275\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -29 - (5 + (-10 - -2) - (0 + -4))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - m - 5*m = 0. Suppose m = -5*l + 3949 - 1624. Let b = l - 270. What are the prime factors of b?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -141.4884389 rounded to two decimal places?\nAnswer: -141.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 26 + 39. Calculate the remainder when (2 - 3 - -3) + 49 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/6)\/(((-119340)\/648)\/(-221))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of 43*v**5\/60 - 41*v**4\/24 + 35*v**2. What is the second derivative of n(o) wrt o?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(10\/(-5)) - 13. Let o(u) = u + 19. Let d be o(g). Solve 2*h - v - 1 = -2, d*h - 2*v = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = -0*f - 4*f - 4*o, 0 = -3*f + 2*o + 72. Suppose 0 = -5*y + 6 + 9. Let t be (4\/8)\/(y\/360). Calculate the highest common factor of f and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -476.72769 rounded to 1 dp?\nAnswer: -476.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 41210 by 26.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16615, -67146, -151369, -269290, -420915, -606250?\nAnswer: -825301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 7455*s - 36588. What is k(5)?\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -2*y**4 + 2*y**4 + y**4 + (0*y**3 + y**3 + 0*y**3)*(y - 2*y + 2*y) + 3*y**4 + 0*y**4 + 0*y**4 in the form q*y**2 + s*y**3 + j*y + k + c*y**4 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1658297626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (1 - -1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 341*g + 24 = 329*g. Sort 0, 75, g in ascending order.\nAnswer: g, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(-3)*(1359\/(-180) - -8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61778 - 1101778 = -13*a. Round a to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 177, 451, 741, 1053, 1393, 1767?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.72295745 + -0.2.\nAnswer: -1.92295745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3829\/10 + 382. Suppose 0 = -6768*j + 6767*j - 1. Is x > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/7 + 2136*i\/7.\nAnswer: i*(i + 2136)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (45\/(20790\/483) - 1) + 5\/(-198)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -52, -93, -134?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9617893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -244 + 250. Let l(u) = u**2 - 4*u - 5. Calculate l(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -166 - -210. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.122 - -0.078. Let u = 7 - 7.1. What is the smallest value in u, w, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 6, 10573, 11 in decreasing order.\nAnswer: 10573, 17, 11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -1786 and -0.06246.\nAnswer: 111.55356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29066, 58209, 87438, 116753, 146154, 175641, 205214?\nAnswer: 234873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 340192845 divided by 68038569.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.78 + -32.22. Let j = x - -33.1. Let h = 21 + -24. Which is the smallest value? (a) j (b) 1 (c) 2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 710308977 divided by -1816647.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/542760 and 77\/6?\nAnswer: 542760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a**(-30)\/a*a)*a*a*a\/a**(-25))\/(a**(2\/5)\/a*a)**(-22\/5))**10 assuming a is positive.\nAnswer: a**(3038\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, y: 1, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 73022\/20 - 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a + 6656a51?\nAnswer: 6656a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c + 16 - 42. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -140*q**3 + 90*q**2?\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 120 - 50. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 5*t - 4. Let z(r) = 3*r + 2*r - 6*r + 5 - 4. Let y(i) = -2*i - 10. Let k be y(-7). Give k*z(j) + n(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 5*l**2 + 15*l. Let q(i) = -i. Let x(b) = j(b) + 15*q(b). Let c(f) = -2*f**2. Calculate c(x(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 - 6*m**2 - 4*m + 3. Let w be p(-6). Let b = 67 - w. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49568 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 128 = -4*g - 168, -20 = -3*g - j. Let 20\/7*k**3 + 8\/7*k**2 + 16\/7*k**4 + 4\/7*k**5 + g*k + 0 = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 + 3*v + 4. Let g(z) = z**3 + z**2 - 2*z - 4. Let x(a) = -3*g(a) - 2*h(a). Let t be x(-3). Let r = -9 + 8. Sort -3, r, t.\nAnswer: -3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11701116.\nAnswer: 2, 3, 7, 59, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-12)*(5 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1510 * -0.08\nAnswer: 120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -178 and 0.01.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 8*-0.3392\nAnswer: -2.7136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.04 in -1\/2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 21292*i + 4977 = 21055*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-60)\/54 - 1042185\/135. What is c rounded to the nearest one hundred?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, -5, -5\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -18.1 - 1098.9617\nAnswer: -1117.0617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*(-8)\/(-96)*4\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, z: 1, w: 1, p: 1, i: 2, s: 2}. Give prob of picking 1 s and 1 i.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10281720 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 1, s: 2, p: 7}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 5.01. Let t = y - 0.99. Which is the smallest value? (a) 5 (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1500, -2, -0.5, 4, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d - 5. Determine x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25 - 214 - d + 43 + 28 + 118.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c - 10. Let z be x(-10). Let d be z*-1*2\/4. Let j(y) = y**2 + y + 6. Calculate j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, -2\/7, 4, -4\/3 in ascending order.\nAnswer: -3, -4\/3, -2\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rkk. Give prob of sequence rkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5987 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + 1 + -7 - -8) + -80 + 110 + -119?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 0. Let y(s) be the second derivative of -s**4\/12 + 5*s**3\/6 + 3*s**2 - 19*s - 3. What is y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 703, 752, 799, 844, 887?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -24957 - -374021\/15. Let y = 65\/3 + x. Let f = -0.1 + 0.1. What is the nearest to -1 in -0.5, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 179132858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1739*u + 29618 = -57332 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 6394*j - 368. Let z(m) = 52*m - 3. Let q(n) = 3*t(n) - 368*z(n). Let d(c) = 3*c. Give q(d(r)).\nAnswer: 138*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 PM and 3:15 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1939145734 a multiple of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -474 + 448. Let w be (-2)\/6*(-41 + i). Calculate the highest common divisor of 486 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/17, 1\/3, 0, 2\/11, -50?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -382.57083 rounded to one decimal place?\nAnswer: -382.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j + 9. Let y be k(-7). What is the second derivative of 3*w - y*w + 4*w - 2*w + w**4 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567)*-1 + 4 - (sqrt(567) + sqrt(567)*2 + -3))**2 + 4*sqrt(28)*1*-3*6.\nAnswer: -648*sqrt(7) + 9121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 3*l**2 + 32*l + 82. Suppose -19*t = -145 + 506. What are the prime factors of h(t)?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -478 - -185. Let j = u - -297. Which is the nearest to 0? (a) -1\/10 (b) 0 (c) j (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3243 - -12830. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = -m + 2*m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 468c - -4a8?\nAnswer: 4b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9264 + 17697. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11575524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 92819745.\nAnswer: 3, 5, 17, 121333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.79*-0.08806\nAnswer: -0.0695674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13030 and 770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2253753? (a) 1 (b) 5 (c) 2\/11 (d) -4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*m - 864 = 3*m. Suppose 23*n - m*n = -684. What is the smallest common multiple of n and 6?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*r = -3*r + n - 15, 3*r + 3 = 4*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12343383?\nAnswer: 3, 13, 105499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.343127 millilitres to litres.\nAnswer: 0.007343127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 611500 rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1619 + 55a?\nAnswer: -107b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -5, -1\/9, -4.\nAnswer: -5, -4, -2\/3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -6*j - 3. Let t(d) be the first derivative of d**3\/3 + 102. Determine n(t(b)).\nAnswer: -6*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 at most -8.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -3. Let h = 3 - i. Suppose -y = -3 - h. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 123291 = 19*u + 19494. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 1, 130, -3, 32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19 + 29. Let n(s) = -16*s**2 + 18 - 6*s**3 - m*s - 2 - 10*s**3. Let z(d) = 5*d**3 + 5*d**2 + 3*d - 5. Let x = 8143 - 8153. What is x*z(p) - 3*n(p)?\nAnswer: -2*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 + 7*r - 7. Let k be (-2)\/(-7) + 33\/7. Let z be g(k). Is 3\/2 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/5, -2\/7, -2\/13, 9.5, 3\/8, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 103028543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 733628 is divided by 341?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -5. Find the first derivative of 5*x - 3 - r - 2 wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -730*k - 85. Is u(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 540 and 23980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-6) + 19\/57 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 209593945 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = -4*i + 24*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -9989136 divided by 114\nAnswer: -87624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/2 - 18\/(-12). What is the third derivative of 2*t**3 - 8*t**2 - t**a + 5*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25119*a**2 + 3 - 50237*a**2 + 25120*a**2 - 64*a to the form v*a + i + p*a**2 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**3 - 5*n**2 - 7*n + 3. Let f = 30 + -18. Suppose z = 5*z - f. Let c be 3 - (z\/3 - 4). Determine a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**2 - 4*i + 14. Determine d(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 11839*r = -1406*r - 211920 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oyyh when four letters picked without replacement from {x: 3, h: 6, o: 6, y: 4}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 84671, 169277, 253821, 338303, 422723, 507081?\n\"Answer: -31*y**2 + 84699*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 9:57 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180)*2)\/sqrt(6))\/(sqrt(10) + (1*sqrt(250) - sqrt(250)) + sqrt(250)) + (3*-1*sqrt(243) + 0 + sqrt(243) + 3)**2.\nAnswer: -323*sqrt(3)\/3 + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 38\/(7 + 5 + -8) and ((-1)\/(-152))\/((-1)\/86)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*s + 2*s + 31*s**2 - 6*s as p + j*s + q*s**2 and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y - 74 = 241. Let h = y - -49. Solve -5*o + 6 = h*s, o - 4*s = -17 - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 - 14*k**2 - 55*k - 65. Calculate q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1529 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: What is 12248398 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/((-4)\/(-9))*2. Let k = 14 + c. Solve -k = 2*i + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -8, 0, 1, -275?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 5 + 10*f**2 - 5.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 - 3)*(5*p**5 - 3 + 3) - 2*p**5 + 1 + p**5 + 2*p**5.\nAnswer: -4*p**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -41*w**2 + 2. Let n(r) = 3*r**2 - 2. Calculate 2*i(s) + 2*n(s).\nAnswer: -76*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 + a88?\nAnswer: a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -69\/5 in -1, -1\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 3 + (-1 - 3 + 2)*(-4 + 4 - 2))*(19*m**3 + 5971 - 5971 + 5*m).\nAnswer: 95*m**3 + 25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, 4.6, 647.06, 0.4, -3\/2?\nAnswer: 647.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/36*1)\/((-4)\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**3 + 2*h**3 - 6*h**3 + h**2 - h**2 - 2*h**3 + (-4*h + 0*h + 6*h)*(h**2 - 3*h**2 + 4*h**2) + 2*h + 2*h**3 - 2*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of -10*128\/(-600) + 8\/(-60) and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/3 - 462\/(-91).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 885807, 885812, 885817?\nAnswer: 885822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1575, -1577, -1581, -1587, -1595, -1605?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -325*y + 290*y + 3227035 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 452243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -28*y - 33. Let q(r) be the third derivative of -3*r**4\/8 - 11*r**3\/6 + 13*r**2. Let z(t) = 4*a(t) - 11*q(t). What is the derivative of z(n) wrt n?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**2 - 5*s**2 + 2*s**2 + 4 + 7*s - 12. Let x = 503 + -497. Calculate f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 107 - 7 = 5*z. Solve -z = -s - 3*s - x, x - 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than 471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.141 + 0.041. Let v = n + 3.099677. Round v to five decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j*j*j*j\/j**(-2\/125))))\/(j*j\/(((j*j**(-14))\/j)\/j)*j) assuming j is positive.\nAnswer: j**(-1748\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -12864, -11093, -8164, -4077, 1168?\n\"Answer: 579*w**2 + 34*w - 13477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-26)\/8 - 1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 8 - (9 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 241855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (16 - 0\/(-2))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/6*(-12)\/(-9). Let v be (40\/(-12))\/(u\/6). Suppose 5*l + 55 = 10. Is l greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/((1\/5)\/1). Let t = -21 - s. Let d(y) = 9*y**3 + 75*y**2 - 165*y - 1516. Let v be d(-8). Put t, -5, v in decreasing order.\nAnswer: v, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d**2 + 360*d + 8100 = 0. What is d?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 226511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -84 + 117. Let i be ((-315)\/(-35))\/(3\/44). What is the greatest common factor of z and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 485 minutes before 11:18 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 8*o. Let h(x) = -2*x**2 + 1630*x. Calculate b(h(c)).\nAnswer: -16*c**2 + 13040*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -5, -4, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, v: 11}. What is prob of picking 1 y and 1 v?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4276 + 4637. What is the greatest common factor of w and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 j, and 1 k when three letters picked without replacement from rrrrrkrrrrjkjkverr?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.49 + 7.42. Let n = 0.07 + p. Let x = 7466 + -7466. Is x greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 34 + -26 - (-1 - 3) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/66 and -31\/81?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*s - 2389 = 4247. List the prime factors of s.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -891, -3690, -8389, -14988, -23487?\nAnswer: -33886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2177759794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 7 = -b, 12 = -4*b + 4*r + 4. Let p(w) = -7*w. Let j be p(b). Let n = -8 + j. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i**(-1))\/i)\/i**(2\/3)*(i*i**0*i)**(-3\/2))**17 assuming i is positive.\nAnswer: i**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -4395 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**2 - 23*g + 86. Let s(k) = -4*k**2. Calculate a(s(b)).\nAnswer: -32*b**4 + 92*b**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -275398, -275404, -275414, -275428, -275446, -275468?\nAnswer: -275494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + 0. Suppose j*s = -s. Suppose s*u - 414 = -3*u. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11020\/950)\/((-54)\/135).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2066 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 388*a - 390*a + 8, 5*a - 3*m = 55. What is the greatest common factor of a and 4046?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 3*x**3 + 7)*(-x**2 + 0 + 0)*(-1 + 2 + 0) + 2*x**5 + 1 - 1.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:04 AM and 5:38 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 131302100 (base 4) to base 11\nAnswer: 8372a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 140364 and 709800.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 415 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of j**4\/2 + 7*j**2\/2 - 21. Let d(u) = -u - 12. Let s be d(-16). Let y(x) = -x**3 - 3*x. Determine s*v(w) + 9*y(w).\nAnswer: -w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15934 + 15912. Let n = 5212272.7999732 + -5212250.8. Let z = n + x. Round z to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 0.039704.\nAnswer: 0.0039704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*q - d - 9, 0 = -5*q - 4*d - 5. Let l be (q + -3 - 2)*(2 - 10). Find the first derivative of -l*u**2 + 4*u**2 + 34*u**2 + 27 wrt u.\nAnswer: 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 4*i = 48, -175*c + 172*c = i - 53. Calculate the least common multiple of 40 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10587290 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 84\/745 + 55203\/5960. Find the common denominator of (362\/(-45))\/(44\/3) and b.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/16 - (10\/(-8) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2365*k**3 - 8*k + 4. Let n(y) = -2365*y**3 + 6*y - 3. Determine 3*b(m) + 4*n(m).\nAnswer: -2365*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (0 - -19) + -10 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**2*o**3 + 2*g**2*o + 12*g**2 + 87505*o**3 + 6*o - 34 wrt o?\nAnswer: -6*g**2*o + 525030*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10800*i**3*s - 3*i**3 + 6*i**2*s - 2*i**2 + 1809*i*s - 26*s - 3 wrt i?\nAnswer: -64800*i*s - 18*i + 12*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 2765265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is a in -3*a**5 + 626*a**4 + 10348*a**3 - 9672*a**2 - 41344*a + 28672 = 0?\nAnswer: -16, -2, 2\/3, 2, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97*f = -114*f + 1055. Sort f, 13, 3 in descending order.\nAnswer: 13, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 66889207, 66889203, 66889199?\n\"Answer: -4*h + 66889211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2104*z = 2089*z - 4217*z + 2856. Solve -z*u - 28 = -126*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 24\/280 - (-2)\/10. Sort -2, p, 0.1, -0.2 in ascending order.\nAnswer: -2, -0.2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -17, 6, 2\/5, 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2000665061 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -286*l + 6009. What is o(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 180 divided by -10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2646 and 24697.\nAnswer: -65348262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is ((-6)\/2 - -23)*12 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*q**4 - 1399*q + 1401*q + 6*q**4 + 2 to b + a*q**4 + v*q + x*q**3 + c*q**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20 - -22. Let t = -8 - -24. Solve -4*s + 3*g = -4, -t = -p*s + g - 3*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kjpkkpjkwpkppkkk. What is prob of sequence wj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (292\/(-438))\/(152\/72*-3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 444068 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00226669993 to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 986*g**2 - g**3 - 988*g**2 - g - 1 to the form n + k*g**2 + h*g**3 + l*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 782.48 + -10688.535. Let x = -9927 - l. Let d = -21 - x. What is d rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*h + 32*h - 15 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1626 + -1625.738. What is the smallest value in 0.1, 1\/3, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 85*s**3 + 23*s**2 + s wrt s?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -29, 28, 181, 442, 823, 1336, 1993?\n\"Answer: 2*j**3 + 36*j**2 - 65*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 101 (base 3) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/(-260))\/(232\/1740).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*u + 19*u - 1095. Let a = 364 - u. Suppose 0 = 8*p - a - 815. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132754 is divided by 22065.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 58.1732cm to micrometers.\nAnswer: 581732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 5*w + 20 - 1 = 0, -5*h = -4*w - 35. Let u = h - -1. Suppose -u*c = -14 - 130. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, p: 3, d: 3, o: 3, n: 3}. What is prob of sequence da?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1176)\/sqrt(12))**2 - sqrt(2)) + sqrt(8) + -4.\nAnswer: sqrt(2) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 474154 or 474182?\nAnswer: 474182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 640 - 640.5. Which is the nearest to 2\/173? (a) -3 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 100100101010 (base 2) to base 15\nAnswer: a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 210 and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be -5*(-4)\/110*8. What is z in -56\/11*z - 12\/11*z**2 + 50\/11*z**4 + 10*z**3 + g = 0?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6386759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*h**3 + 47*h - 17*h - 30*h - 24*h**3.\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 - z**2 + 128. Determine r(0).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f**2. Suppose w - 2 = 4*h - 5*h, 3*w - 8 = -5*h. Let s(c) = -c. Let y(i) = 3*i. Let q(n) = h*y(n) - 6*s(n). Determine q(g(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 63\/10 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5174049*w - 77019650 wrt w.\nAnswer: -5174049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -15, 121\/24908, -0.5 in increasing order.\nAnswer: -15, -0.5, 121\/24908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(3900))\/(sqrt(3) - (sqrt(300)*1 - sqrt(300))).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, 12, 445, 8 in decreasing order.\nAnswer: 445, 12, 8, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) 4 (c) -4 (d) 10 (e) 0.3 (f) 41\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 1 = -0*o + o, -5*g = o - 29. Let m be 1*(0 + o)\/(-3). Let h be 0\/(-1) + m + 2. Is h at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 40000 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes after 2:46 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 876709*t**3 + 35*t**2 - 163*t + 12.\nAnswer: 5260254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {z: 1, v: 3, h: 1, m: 6, l: 1, n: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**3 + 6*z**2 + z - 1. Let v(o) = -2*o**2 - 4*o. Let u be v(-3). Let s be d(u). Let a be 2\/(-6) + s\/51. Solve a*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -3*m - 1. Let c be q(-2). Suppose -y + 0*y + c*d + 97 = 0, y + 2*d = 69. Let i = y - 53. Solve 4*k - 2*h = -i, 2*h - 1 - 3 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f - 12. Let g(s) = 6. Let y(q) = -5*g(q) - 2*i(q). Let o(x) = -254*x + 111. Let z(n) = 7*n - 3. Let t(m) = o(m) + 37*z(m). Determine t(y(u)).\nAnswer: 10*u - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 + 6*f**2 - 4*f - 2. Let z be s(5). Suppose 9 + 15 = 4*b. Let j be z + -1 + 36\/b. Solve o = 6*u - 3*u + 12, 2*u + j = -4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 59 + -297\/5. Let k be -1*(-69)\/(-75) - (-2)\/2. Sort -0.1, 1\/7, k, z.\nAnswer: z, -0.1, k, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 25 - 18 = -3*i, 0 = -3*i + 3. Let l = 2 - 0. Solve -l*h - 4 = -2*y, -5*y = 7*h - 3*h - r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/93, -0.1, 1.2?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -259 - -258.4. Put -5, -0.1, f, 5 in descending order.\nAnswer: 5, -0.1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.8 and 3081690725.\nAnswer: 3081690725.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -90*n**2 + 179*n + 478. Calculate y(9).\nAnswer: -5201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**2 - 1. Let l(m) = -7*m**2 + 10*m + 7. Let a(h) = -6*i(h) + l(h). Let z be a(11). Solve 0*v + 10 = -z*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -0*d + c + 21, -3*d - 5*c = 13. Let f = d - 2. Let y be 45\/(-6)*16\/(-6). Solve -5*q - t = f*t + y, t + 9 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n**3 - 2*n**2 + 7*n - 1. Calculate the remainder when s(-3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w + w**3 + 3*w + (-2*w + 3*w - 3*w)*(-4*w**2 - w**2 + 3*w**2) - w**2 + 2385*w + 354*w**3 - 2385*w.\nAnswer: 359*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 81763.4*1.1.\nAnswer: 89939.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -9*d**2 - d - 2. Let t be f(-1). Let u be (-4)\/t + (-28)\/(-5). Suppose -h = u*h - 42. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19 - -22. Suppose 8*j - c*j = 10. Suppose j*s + 4 = -2*l + 42, -87 = -5*s - l. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**4\/9 - 4*w**3 - 74*w**2\/9 + 88*w - 968\/9 = 0 for w.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 28 - 23. Suppose 3*z - 4 = -3*j + 8, 3*j - p*z = 28. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 340 = m, 0 = 4*m - n - 0*n - 1339. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2867925509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be 14\/8 - 1\/(-4). Suppose 4*x = 4*j + c + 6, 2*j - 6 = -3*x. What is the third derivative of -2*t**4 - 2*t**3 + 2*t**3 - t**x wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-5) - (-24)\/10. Suppose -b + a + 1 = 0. Solve -z = 4*t + b*z, -4*t - 2*z = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -599, -1174, -1733, -2270, -2779, -3254, -3689?\n\"Answer: i**3 + 2*i**2 - 588*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + (-13 - (-26 + 5) - -12 - 6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -539.3 - 8166.\nAnswer: -8705.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04592777953 to four decimal places.\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y - 15 + 35 - 20.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 435, 3500, 11823, 28032, 54755?\nAnswer: 94620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/18890 (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 + 247560*f - 7425901. Calculate l(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -36 + 32. Let i be (-3)\/(-2)*p\/3. Let l(n) = n**2 - 4*n + 2. Let r be l(3). Which is the second smallest value? (a) r (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 216 and 15269742?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -437685394*x**6 - 661033839*x**2 wrt x?\nAnswer: -52522247280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5503048 - 0.3?\nAnswer: -5503048.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.1 + 3. Let m be (4\/3)\/((-69)\/(-9) + -3). Let x = 870\/119 + -52\/7. Which is the closest to -1\/3? (a) t (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 254 and 1143?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 2*v**3 - 55*v**2 - 28*v - 8. Let t be b(28). Find the common denominator of (-2315)\/(-570) - (t + 11) and 43\/22.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -38*a + 40. Let t be d(1). Sort t, -2\/3, -1\/8.\nAnswer: -2\/3, -1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 516?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 52 and 1703?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2080776 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of 91*s**5 + 24*s + 279. What is the derivative of x(o) wrt o?\nAnswer: 1820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 2*b**2 + 11*b - 5. Let f be n(-6). Let z be 4\/((1 - 63)\/f). Suppose -5*l + l + 4 = 0. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*r**5 - 1183720*r**4 + 2*r**2 + 128052*r.\nAnswer: -40*r**3 - 14204640*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 196 divide 43079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 6 = 2*z, 28 = -5*z + z - 4*n. Let m be z\/(-12) - 450\/(-24). What is the greatest common factor of m and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11 + 5*k + 11 to the form b*k + l and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -25808 - 0.108?\nAnswer: -25808.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(15) - sqrt(30)\/sqrt(2)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*q - 10*q - 2*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*v + 6 = -38 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 194.5920201 rounded to zero decimal places?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/18 and -55\/219.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 18003 (b) -0.4 (c) -4 (d) 0.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-16)\/(-120)*-6)\/((-4)\/330). Let u be (q\/99)\/((-2)\/(-3)). Let a be 0*(u - 15\/12)*2. Solve s - 2 = -a*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + -201?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -404*v + 2173408 = -402*v + 4*a, -2*v + a + 2173398 = 0. Round v to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**2*q*w**2 + 49359*g**2*q + 2*g**2*w**3 + 2*g*q*w**2 + 81790*g*w**3 + 3*g*w**2 wrt g?\nAnswer: -2*q*w**2 + 98718*q + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -14308.94 and -2.031.\nAnswer: -14310.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 2*w - 70, 3*w + 2*i = -2*w + 127. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 67337\/18 - 3737. Let t = 456401\/4 - 115100. Let p = -1010 - t. What is the common denominator of y and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x**3 + 14*x + 4*x**4 - 15*x + 4*x**4 to u*x**4 + d*x + p*x**3 + y*x**2 + h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1221*b*f*l**2 - 4*b*f + 16*f*l + 2*l**2 - 12 wrt b.\nAnswer: -1221*f*l**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17139748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -99926, -399630, -899146, -1598480, -2497638?\nAnswer: -3596626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274031 is divided by 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1952 divided by 488\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 853086.2 years?\nAnswer: 85308.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -309463 or -1?\nAnswer: -309463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -188 in 5, -1\/21, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a*a*a*a**(-4\/23)*a*a))\/a**(-27))**(-26) assuming a is positive.\nAnswer: a**(-13858\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1140*o - 1140*o - 1584*o**2.\nAnswer: -1584*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -87?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -25, -1604 = -4*d + 21*w - 17*w. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/2)\/((65\/(-50))\/13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + 3678?\nAnswer: 3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 13516345 (base 7) to base 10.\nAnswer: 1265164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2.07313 times -124?\nAnswer: 257.06812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 14? (a) 2345 (b) 2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*v - 5*c - 36, -138*v - 10*c = -139*v + 44 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 19 - (9 + -3 - 9) - 8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*a + 98*a + 190 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4\/21 + -5\/84. Let j be (50\/(-6))\/(-5)*-3. What is the nearest to y in -0.3, j, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -8*o**2 - 9*o - 4*o**2 + 5 + o**2. Let b(v) = -3*v**2 - 2*v + 1. Let x = -77907 + 77905. Give x*j(k) + 9*b(k).\nAnswer: -5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-3\/2)*h**(-4\/7))**(33\/7)*(h**(-1\/2)*h**(-6))\/(h*h*h**(6\/5)*h*h*h**1) assuming h is positive.\nAnswer: h**(-5504\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that f**3\/7 + 38593969*f**2\/7 = 0.\nAnswer: -38593969, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 24301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*a**3 - 3*a**2 - 35*a**4 - 4*a + 3*a**2 + 2*a**2 - 1 + 33*a**4 to c*a + f*a**4 + p*a**2 + d + l*a**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -28483 - -33?\nAnswer: -28450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of 5*n**4\/12 - 5*n**3 + 25*n**2\/2 - 5*n + 2. Let w(g) be the first derivative of b(g). Find q, given that w(q) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 7*g**2 - 2*g + 11. Calculate the remainder when 393 is divided by q(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - 6. Is -7 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.26826 take away 76.7017?\nAnswer: -76.96996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dmmdzudddddm. What is prob of sequence mzm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 17079437 - 60120561 = -s, -4*s = 8. What is v rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/((-20)\/(-1)))\/(((-56)\/(-8))\/168)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 365 + 65 + j - j - j.\nAnswer: -j + 430","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 + 16. Let r(f) = -f + 6*f**2 + f**3 + 0 + 4*f - q. Let l(i) = -5*i + 80. Let h be l(17). What is r(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236151746 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 88 bigger than -1016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 0*w - 216 = -4*h, -w = -3*h + 158. Suppose 0 = -h*z + 51*z + 7. Suppose j = -1 + 3. Solve 5*y - 15 = -5*c, j*y - z = -3*c - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -12*j**2 - 36*j - 31. Let q(p) = 4*p**2 + 12*p + 10. Let y(g) = 2*n(g) + 7*q(g). Find h such that y(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*m - 110 = -36*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 170 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 - (-14)\/18 - 20904\/216. Let d = u - -775\/8. Which is the biggest value? (a) -3.2 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*d + 29*d = -46. Let m = 666 - d. Suppose -v - 3*v + 3*f = -m, 2*v - 299 = -3*f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/(-2 + 51\/26). Find the common denominator of 117\/14 and y\/8*(-9)\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - 4*q. Let x(g) = g - 5. Suppose 3 = f - 4*i - 5, -5*i - 5 = 0. Let p(w) = -2*w + 6. Let l(r) = f*x(r) + 3*p(r). Let z be l(0). Determine n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -2*i**5\/3 + 262*i**4\/3 - 8174*i**3\/3 - 26926*i**2\/3 - 1072*i\/3 + 35912\/3 = 0.\nAnswer: -2, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h\/h**0*h)**(-3\/35)*(h**(2\/3)*h)**(-2\/9)*(h**(-4)*h*h**(1\/3))**(-4\/5) assuming h is positive.\nAnswer: h**(1423\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 5) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*y + 7 - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -60433*v**2 + 822121 wrt v?\nAnswer: -120866*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 549429, 1098917, 1648415, 2197929, 2747465?\nAnswer: 3297029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 143\/1728 and 13\/108.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18, -18, -20, -24, -30, -38?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -16*t + 15*t + 126. What is the remainder when t is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = 0, -7*q = -v - 10*q + 13. Calculate the remainder when 101 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 72321795 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.165236 meters?\nAnswer: 165236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**3 - 6*i**2 + 5*i + 5. Let n be s(5). Suppose -n*c = -2*c - p - 191, 5*p = -25. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 462 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = 6, -3*u + 0*j + 30 = 5*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -14, -249, 2\/5, -54, -3\/37, 1?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (7275*u - 562*u - 2328*u)*(5 - 5 + 2*u**2) + 1 - 1 + 3*u**3 as o*u + v*u**2 + y + s*u**3 and give s.\nAnswer: 8773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 - 0.046186.\nAnswer: 0.153814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 80555.157 nanoseconds?\nAnswer: 0.0000000223764325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 385868 and -0.4.\nAnswer: -154347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 27\/95 and -11\/225473?\nAnswer: 1127365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 2*g + 6 = 1, 3*t - 3*g - 12 = 0. Solve -q + 17 = 3*j, 4*q = q + 3*j + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, -30, 828, -4, 2, 5 in ascending order.\nAnswer: -30, -4, -1, 1, 2, 5, 828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7172 and 10516.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:12 PM and 1:48 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.12 - 122.12. Let c = q + 122. Sort -0.01, c, 0.5, -4 in increasing order.\nAnswer: -4, -0.01, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k + 23*k**2 - 4*k - 14*k + 22*k**2 + 3*k.\nAnswer: 45*k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (6 - 3) + (-749)\/28. Let h = 24 + t. What is the third smallest value in 5, 3, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/1*(-12)\/78. Let p = 0.32 + -0.02. What is the closest to -0.1 in n, -0.03, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l\/l**33)\/l**(-7\/3))**(-43))**(-3\/4) assuming l is positive.\nAnswer: l**(-1849\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b*b**(-1)*b)\/b)*b)**(-10)\/(b**(-2\/5)\/((b\/(b*(b*b**(-3))\/b)*b)\/b*b)))\/((b**4*b)\/b**(-4)*b**(-2\/11)\/b*b**(3\/7)*b*b*b) assuming b is positive.\nAnswer: b**(-10336\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gi when two letters picked without replacement from hagwpwgwighw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 625724, 1251457, 1877190, 2502923, 3128656, 3754389?\n\"Answer: 625733*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five quarters of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1642680528 to the power of 1\/2, to the nearest integer?\nAnswer: 40530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 PM and 4:54 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -6363632 divided by 4?\nAnswer: -1590908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -12*v**3 + 2*v**2 + 13*v + 4. Let o(p) = 2*p**3 - p**2 - p - 1. Let i(m) = -b(m) - 3*o(m). Let u(g) = -2*g**3 + 3*g. Give 2*i(q) + 7*u(q).\nAnswer: -2*q**3 + 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + (-1 - 100*-1). Let s(g) = -g**3 + 10*g**2 - 5*g - 13. Let c be s(9). Let a = d - c. What is the highest common divisor of 30 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (485 + 119*b - 485)*(89 - 31 - 242).\nAnswer: -21896*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/(-9))\/(3\/(-18)). Let b be y\/7 - (-1350)\/21. Let j = -446\/7 + b. Is -16 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8.15 + 2.4. Let m = -14.98 - y. What is m rounded to one dp?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -53, 0 in ascending order.\nAnswer: -53, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 749\/(-321)*(-6)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/768 and -65\/21?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 199920 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80 + 7*k - 80 - 14*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-10)\/35)\/(-2) - 670*5\/(-70). Solve 3*k + a = -9*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47 = -r + 10*r + 25 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 - (-8 - -21 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from httthhhttthh.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j**3 + 3*j**3 - j**3)*(0*j**2 - j**2 - 2*j**2) + j**5 - 4*j**2 + 4*j**2 + 1421 - 1421 - 2153*j**5.\nAnswer: -2146*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32650606 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - l = 3*h - 5, 0 = -2*h + 2*l + 10. Solve -d + 11 = -h*r + 1, 0 = 3*r + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(0 + sqrt(560)\/sqrt(7) + -4 + sqrt(20) - (sqrt(320)*2 + 2 + 2))**2.\nAnswer: -1128 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 16 = 9. Suppose -2*l - 6 = -q*l. Let y(b) = b**3 - 26*b**2 - 86*b - 19. Let u be y(29). Calculate the highest common divisor of l and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the third derivative of 4*k**5\/15 + 9*k**2. Let m(b) be the first derivative of b**3\/3 + 2. Determine m(p(h)).\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6565121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 141 (base 15) to base 9\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -512*x**3\/7 + 192*x**2\/7 - 18*x\/7 = 0. Calculate x.\nAnswer: 0, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 163531?\nAnswer: 29, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the second derivative of o**5\/12 - 5*o**3\/6 - 5*o**2\/3 + 46*o. Factor t(a).\nAnswer: 5*(a - 2)*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - x**2 - 5. Let y be 2\/11 + (-279)\/(-99). Let i be -1 - (7 - y)\/(-4). Determine p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 102201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, g: 2, f: 1, n: 4, m: 1}. What is prob of picking 1 k and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*i*n**2 + 1968954*i + 76145903*n**3 - 11*n + 1 wrt n.\nAnswer: 4*i + 456875418*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -11*r - 18. List the prime factors of n(-12).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5895 is divided by 4402.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -2*s - 6. Suppose u = g + 9, -20 - 1 = -5*u - g. Suppose -v - 5*z = -19, 0 = -u*v + z + 4*z - 55. Determine b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*((-128)\/12)\/16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 4*d + 71 = -7, -14*d + 532 = 7*d + 91 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/65355 and 14\/3.\nAnswer: 65355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -37194 by 16.\nAnswer: -18597\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 133 and 203467523.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1648920?\nAnswer: 2, 3, 5, 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 69 - -24. Suppose g + 2 + 3 = -2*r, g + 4*r = -9. Is k\/9 + g\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 67 - 46. Suppose 5*c - 29 = -3*y, -3*y + 3*c = -o - 0. Let f be (-1)\/(1\/y) + 4. Which is bigger: -6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 1 + 3)*(-s - s + 6*s) to w*s + p and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8*1*(435\/24)\/(-29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 - -676267?\nAnswer: 676267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 11*h + 36. Let i be k(-3). Let a(u) = -4*u**2 - 35*u - 3. Let g be a(-10). Let p = -46 - g. Solve -8 = i*s + p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 + -14\/3. Let t = 487 + -492. Let l = 4.01 + -0.01. What is the nearest to k in t, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -125704382, -251408765, -377113148, -502817531?\nAnswer: -628521914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 3*a**3 - 5*a**2 + a - 1. Let k(z) = -2*z**3 + 4*z**2 - z + 1. Let p(g) = -4*k(g) - 3*o(g). Let n(h) = -h**3 - h + 1. Calculate n(i) + p(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5 - (-698 - (4 - -3))?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 5200438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -7335*y + 182589. Determine a(25).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -w**3\/6 - 3*w**2\/2 + 8*w - 2. Let d(v) be the first derivative of g(v). Determine d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 52*i**3 - 26532*i**2 + 3387420*i - 780300 = 0. Calculate i.\nAnswer: 3\/13, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1\/2)*k)\/k)**36*(k\/k**(2\/7))\/k**(1\/13) assuming k is positive.\nAnswer: k**(-1580\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from whwhzzfhhwz. What is prob of picking 1 w, 1 h, and 1 z?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17257?\nAnswer: 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 - 3\/(-3)*2. Let t = 4 - z. Find f, given that 0 - 2\/5*f**t + 2\/5*f**2 + 0*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44827 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1450834 and 1309.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j + 3*o + 30, 25*o = -3*j + 27*o + 60. Let x = 4 + -2. What is the smallest common multiple of j and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 + 1 + 1 + (-22 - -40 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t - 11. Calculate c(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sbbb when four letters picked without replacement from {b: 11, s: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -8*a**3 + a**2. Let r = -12 + 8. Let h = r - -6. Let j be b(h). What is j rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3427 + -36114?\nAnswer: -41543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 47316 and 172648198.\nAnswer: 7886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 32 - -737?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/8)\/(1\/(-4)). Let k(a) = -a + 4. Let b be k(0). Suppose -b*j = -7*j - 12. Sort j, p, 0 in ascending order.\nAnswer: j, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 42681 and 10063?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1229263 * 183.\nAnswer: -22.4955129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1002133 - 1?\nAnswer: 1002132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (12\/9)\/(4\/(-72)). Let j = -3 - p. Suppose -6*t + j + 297 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 3*o**2 - o + 3. Let m be d(-3). Let h(j) = -2*j**3 + 9*j**2 + 20*j - 93. Let k be h(4). Solve k*a - 13 = y, 4*y + m = 2*a + 2*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 287, 1985, 3685, 5387, 7091, 8797?\nAnswer: 10505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 + 16)\/(-3 + 120\/39). Suppose 0 = 9*y + 70 - q. Suppose -6*a = -y*a + 700. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(7\/3)\/g**(-3\/2))\/((g\/((g\/(g*g**20*g*g*g)*g*g)\/g*g)*g)\/(g*((g**(4\/13)*g*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-1393\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*x**2 + 6*x - 8*x - 537*x**3 + 527*x**3 to k*x**3 + w*x + q*x**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + 0. Let h = 90 + -539\/6. What is the second smallest value in h, i, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - y + 68 - 61 = 0, -2*r = 3*y + 7. Solve 2*m + 2*s - 8 = 0, r*s = 2*m + 8 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 4.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.418 - 0.245. Let j = 2036 + -2036.027. Let c = x - j. Which is greater: c or -17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-912)\/(-380))\/(4\/5). Suppose 20 = -5*n, -35 = -3*p - 8*n + 4*n. What is the second derivative of p*q + 19*q + 3*q**3 + 2*q**c - 16*q wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 - 3. Let -3*r**2 + 11*r + 0 - 8 - 19 + m*r = 0. What is r?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 11910 + 1324?\nAnswer: 13234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 98150856622430 less than 3?\nAnswer: -98150856622427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = c - 3*i - 4, -2*c - 8*i = -4*i - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -11199*p**2. Let y(h) = 24*h. What is y(r(u))?\nAnswer: -268776*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(((z**(2\/19)*z)\/z)\/z)*z**(-5)*z\/(z**10*z)*z**(1\/2)*z assuming z is positive.\nAnswer: z**(-441\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -26*y + 3. Let c(o) = -13*o + 2. Let m(z) = 5*c(z) - 3*s(z). Give m(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67388591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddv when three letters picked without replacement from {d: 10, v: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 105709, 422843, 951399, 1691377, 2642777, 3805599?\nAnswer: 5179843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 3*n**5 + n**3 - n**2. Let h(y) = 380*y**5 + 3*y**3 - 5*y**2 - 11*y. Let k(u) = -h(u) + 3*p(u). What is the third derivative of k(i) wrt i?\nAnswer: -22260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 15\/6 - (-1)\/(-2). Let b = 0 - 0. Let q = b + 4. Solve v + 20 = -3*p, -x*p + 6 = -q*v - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -6*(3 + -6) - -2. Let p be 3\/(-2)*n\/195. Let i = 0.05 - -1.95. Which is the third smallest value? (a) p (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = 5*f - f. Let g = f + -22. Suppose -3*u - j = -0*j - g, -4*j = 2*u + 6. Which is bigger: u or -4\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/60 and -1\/13718670?\nAnswer: 27437340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(143)*-4*6)\/(sqrt(1331)*2*4))**2 + 0.\nAnswer: 1872\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13363660 - 11?\nAnswer: 13363646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 0.4962 greater than or equal to -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11.299 - -1.299. Let g = 5.09 - 0.09. What is the fourth smallest value in g, -4, f, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23125470 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fwfwww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 483 divide 379448664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 256766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 3332*p**3 + 14*p**2 - 17*p - 9. Let w be q(9). Round w to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -3\/17 (c) 5 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 54*a**2 - 862*a - 11. Determine s(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.21080895 rounded to four decimal places?\nAnswer: -0.2108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -114 + 203 + 40*v - 50*v**3 + 191 + 5*v**2 + 31*v + 639*v.\nAnswer: -5*(v - 4)*(2*v + 7)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - (-1 - 48\/(-23))) + 2\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 188*i**2 + 372*i**2 + i**3 - 338*i**2.\nAnswer: i**3 + 222*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 - 12. Let v be (-22)\/(-2) + 5704\/(-552). Let k = -3.9 + 4. Which is the biggest value? (a) k (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((20\/(-18))\/(949\/42705))\/2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.161 + -0.099. Let c = -0.2 + 0.2. Let z = c - t. What is z rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/18 + 126630112\/63 + -2. What is a rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 741332\/295 or 2512?\nAnswer: 741332\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 3 + 24*g**3 - 29*g**3 + 7 - 3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 67878137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of 49*r**3\/6 - 263*r**2\/2 + 2*r + 47. List the prime factors of l(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 164\/7 + (-4)\/(-7). Suppose 3*c = -108 + 126. What is the greatest common factor of c and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -138 + 2*i**2 + 48 - 91*i + 93 to the form t + o*i + b*i**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -52.59 - -79.1. Let r = j + -0.11. Let u = r - 24. What is u rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 88450 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -2517 * -0.3.\nAnswer: 755.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 - 3*m + 3. Suppose 8*u - 4*u = 24. Let j be (u\/(-9))\/(2\/9). Let w(t) = -t + t**2 + 2*t**2 + 5 - 4*t - t**2. Give j*w(p) + 5*k(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)*-5*3 + sqrt(76).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 438*j**3 - j**2 - 5*j + 7. What is the units digit of s(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 5*s = 1455, 0 = t + 2*s - 241 - 46. Suppose f + t = 6*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-11)\/(-12) - -4*(-4)\/64\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -2*a**2 + 20*a. Let n(w) = -w + 9. Let s be n(7). Let d(c) = 4*c + 2. Let f(l) = -l**2 + 6*l + 3. Let g(k) = s*f(k) - 3*d(k). Calculate r(g(i)).\nAnswer: -8*i**4 - 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the third derivative of y**6\/60 - y**5\/15 + y**4\/8 - y**3\/3 - 5*y**2. Let v be x(2). Solve -12 + 2 = 2*b, v*b + 5 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 704 * 0.57\nAnswer: 401.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 10:03 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + 81?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1247 + -1232. Let l = -0.08 + 0.18. What is the smallest value in z, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 11:23 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 19*b**3 + b**2 + 2*b + 1. Let n = -50 - -49. Calculate s(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -0*b - 2. Let z = b + 5. Suppose -z*k + 20 = 4*g, k + g = -2*k + 9. Is 2 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 26*u - 24180. What are the prime factors of (6 - 4) + u\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 0 + 4712*t + 4.\nAnswer: 4712*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*v + 8*v - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -41.06 + 40. Let w = -0.96 - o. What is the nearest to 1 in 0, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2200 and 536140.\nAnswer: 5361400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -143853811 or -143853813?\nAnswer: -143853813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*p = -148*p + 61*p + 64*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l + 59. Let v be s(30). Let h = v + -26. Solve 5*k + 4*b + 5 = 22, -b + h = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -84, 0.2, -1 in decreasing order.\nAnswer: 0.2, -0.3, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (20604\/17170)\/(3\/35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + (2 + 9 - (-10 - (-40 + 24))) - -62.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -731*x + 727*x - 3*f - 29 = 0, x - 2*f = 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 62193*l + 1243848. Determine g(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 39078 - 37450 = 74*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve u = -6*u - 18*u + 125 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -363*g**3*k + 118*g**2 - 3*k wrt g?\nAnswer: -2178*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together -46726.502 and -15.\nAnswer: -46741.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -1596*c + 177152. Give a(111).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*v - 11*v = -54*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*v**2 + 72*v**2 + 84 - 84.\nAnswer: 118*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + 124 + 2. Is ((-4298)\/x)\/((-1)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 84 = -1. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r**2\/4 + 168245*r + 5661276005 = 0.\nAnswer: -67298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-l + 4*l - 4*l)*(-270 + 236 - 337)*(5*l - 3*l - 4*l) as q*l + p + x*l**2 and give x.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 38.05 - -0.95. Let w = -39 + u. Let l = 0.2 - 0.1. Is w equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-423)\/(-18))\/(4 + (-7)\/2). Suppose -16*q + y*q - 15872 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 527, -3\/5, -7, -19, 0.3.\nAnswer: -19, -7, -3\/5, 0.3, 5, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/7, 1\/6, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 - 16*m + 5. Let l be 2\/(-2) - 2 - 65\/5. Let k be r(l). Let n(h) = -h**2 + 11*h + 1. Calculate the remainder when n(k) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 3*z**3 - 7*z**2 - 5*z + 1. Let l(a) = -2*a**3 + 4*a**2 + 3*a - 1. What is 5*l(h) + 3*q(h)?\nAnswer: -h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 PM and 12:54 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -84, -173, -264, -357, -452, -549?\n\"Answer: -g**2 - 86*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 9434*a - 1867928. What is n(198)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**2 + 3*y - 1. Let z be p(0). Let n = 593.7 + -546. Let i = -48 + n. Which is the closest to z? (a) i (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of 0*z - 3\/5*z**5 + 3\/2*z**2 + 0*z**3 - 3 + 0*z**4. Find the second derivative of u(t) wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (9664 - (8 + -11)) + (-12)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76 is divided by 6\/9 - (-3 + (-44)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -26, 3, -13, -10599 in descending order.\nAnswer: 3, -13, -26, -10599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -330*b**2 - 3*b - 323. Let g(x) = 659*x**2 + 5*x + 652. Let i(c) = -3*g(c) - 5*v(c). Differentiate i(m) with respect to m.\nAnswer: -654*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6280414.529 to the nearest 10000.\nAnswer: 6280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 32, -14, 12, 7 in decreasing order.\nAnswer: 32, 12, 7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1.6+-5309234663\nAnswer: -5309234661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h**2 + 5*h + 5. Let b be s(-4). Let g(k) = -2*k**2 - k**3 + 13*k - 5*k + k + 12*k - 14. Let o be g(-6). Solve -o*w = -3 - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27 - 42 - 2 - -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 34 (base 13) in base 15?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 19.681053 months?\nAnswer: 0.00164008775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 - (6\/9)\/2. Let f = -9 - -8.9. What is the closest to f in w, -2, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -7 + (-1)\/((-1)\/(-2)). Let n(m) = m**3 + 9*m**2 + 7. Is n(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/24786 and -25\/382?\nAnswer: 4734126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d**(1\/4)*d)\/d**7)\/(d**1*d**(-6)))**(28\/5))**(4\/29) assuming d is positive.\nAnswer: d**(-84\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 - 16. What is the second smallest value in o, 1\/11, 0.1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 93*k + 737. What is r(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 11*m**8\/1680 - m**5\/6 + m**3\/6 - 2*m. Let y(z) be the second derivative of q(z). Find the second derivative of y(p) wrt p.\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 566446.6l to millilitres.\nAnswer: 566446600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 8:30 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 2*c**2\/17 + 19670*c\/17 + 882196 = 0.\nAnswer: -9002, -833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from dkoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15736 is divided by 235?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 75\/(2*23\/138*-9)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Differentiate 20*n**3*q + 241479*n**3 - 36*n*q - 6*q wrt q.\nAnswer: 20*n**3 - 36*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.33 and -27524.\nAnswer: -9082.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.021027 rounded to 4 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 152445330 - 3?\nAnswer: 152445323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 867?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2425394 plus -423?\nAnswer: -2425817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 637 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z - 3*z - 3*z**2 + 12*z**2 + 1 - 4*z**2 as t*z**2 + p + d*z and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -6*r**3 - 18*r**2 - 4*r - 13. Let t be v(-4). What is the greatest common factor of t and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c69 + -26c?\nAnswer: 9db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3522794438 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 31540210 (base 6) in base 13?\nAnswer: 267771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 790 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 + -17. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 236, 462, 680, 890, 1092, 1286, 1472?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -5098, -10200, -15302?\n\"Answer: -5102*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.2 - -0.1. Let a(j) = -j**2 - 80*j + 338. Let c be a(-84). What is the nearest to r in 0.02, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 54, 56, 58?\n\"Answer: 2*m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 25327427598 and 1304.\nAnswer: 25327428902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 50 - 10 = 0. Calculate the least common multiple of p and (-2)\/(-11) + ((-100)\/(-11))\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(39)\/(2*sqrt(21)\/sqrt(7)) + (sqrt(65) + -6*(sqrt(65) - (sqrt(65)*2 + sqrt(65))))\/(sqrt(20) - sqrt(500)).\nAnswer: -9*sqrt(13)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (((-867)\/14739)\/((-2)\/(-36)))\/3\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31197 is divided by 63.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 + 4 + 2*v**3 + v - 3. Let x(c) = -11*c**3 - 7*c**2 - 4. Let q(z) = -4*d(z) - x(z). Let k(s) = 4*s**3 + 4*s**2 - 2*s. What is 5*k(i) - 3*q(i)?\nAnswer: -i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 + 15*u**2 - 26*u + 5. Suppose 46 = 3*o + 7. Let m be c(o). Solve 0*t - 4 = 2*k - t, 12 = -2*k + m*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 divided by 135?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffffftffftffftf. Give prob of sequence ft.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -5205 (base 15) in base 9?\nAnswer: -25685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x + x**2 - 3*x**3 + 1 + 0*x**2 - 10*x**2. Let s(c) = 5*c**3 + 14*c**2 - 2*c - 1. Let t(q) = 5*s(q) + 8*u(q). Suppose 6 = 4*l - 6. Calculate t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.4 and -0.7171.\nAnswer: -1.1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4740 divided by -4.\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -5*q + 31. Let p(n) = -n**2 - 11. Determine c(p(g)).\nAnswer: 5*g**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 - 17*h - 19. Let p be a(-16). Let x be 7*(139\/7 + p). Suppose 10*j - x = 2. Solve 5*v - 19 = -4*c, 0 = -c + 4*v - j + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 316180824 a multiple of 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ovvv when four letters picked without replacement from {o: 2, z: 1, v: 3, u: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v + 0*v - 2*v + (2 - v - 2)*(-2 + 1 - 1) + 3*v - 5 + 5)*(3 - 4 - 1) + 2 - 2 - 2*v + (5 - 2 - 2)*(-2*v + 0 + 0) - 4*v + 2*v + v + v - v + 2*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 434 - 274. Let b = j - 159.9699. What is b rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 14, r: 5}. Give prob of sequence rtr.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -q - 7 = -p + 4*q + 1, 411*p + 13*q + 22 = 413*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35810 + 261349. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (9\/12)\/((-1)\/(-4)). Let v(d) = 2*d**2 + 43*d - 1. Let x be v(-21). Let j be 0\/(4\/x + 45\/(-55)). Solve -l*a + a + 4 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/36)\/(1288\/(-399924))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 52 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54474, 92876, 131278?\nAnswer: 169680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 7*q + 2*u = 309, -5*q - 3*u + 306 = 0. Calculate the highest common factor of 42 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 - 12 = 4*z. Let j be ((7 - 1)*1)\/2. Suppose -2*s = -5*u + 454, -s - 42 = -j*u + 230. Calculate the greatest common factor of u and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + 8. Suppose -6*u + 11*u = l. Solve c = u*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -209, -418, -625, -830?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 60*s**2 + 2*s. Let m = -3526 - -3525. Determine x(m).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2 - -0.3. Let s = -13 - -15. Suppose s*j + 2 = -4. What is the third biggest value in q, -2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 388116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2733 - 2733.4. Let t = -0.0768 - -4.1868. Let z = t - 0.11. Which is the nearest to -1? (a) 0.3 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -11756, -23428, -34306, -43994, -52096?\n\"Answer: 66*c**3 + c**2 - 12137*c + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(-20) - (-48)\/(-10). Let n = -2 - t. Suppose -2*f = -2*i - 4*f, -n*i + 2*f + 10 = 0. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8 and -0.7025.\nAnswer: 5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -17*z + 569. Is n(7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of 1\/36*s**4 - 1\/45*s**6 + 0*s**3 + 3*s**2 - 1\/30*s**5 + 0*s + 0. Factor q(b).\nAnswer: -2*b*(b + 1)*(4*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13486.4 + 13486. What is the nearest to 0.2 in -0.2, l, 101, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -71 + 151. Suppose -8*d - 56 = -s. Determine n, given that -2 + 1\/4*n**d - 3\/2*n**2 + 3*n = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 13093359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in -1, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 9682.4413 to the nearest 10.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -8b18 (base 14) to base 6\nAnswer: -303414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14.4 - 12.4. Let d = -23 + 23.14. Let y = d + 0.16. What is the closest to -1 in y, h, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the first derivative of -4 + 1\/2*h**4 - 5*h - 2*h**3 + h**2. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 + 11003022301?\nAnswer: 11003022311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4287645*-0.4.\nAnswer: 1715058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1397 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 518 and 5476?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 35130 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21049 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -c + 2*d - 3, -11*c + 47 + 28 = 5*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, 15, 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 2*y**3 + 3*y**2 + 3*y + 1. Suppose -4*b + 2*c - 1 = 17, 4*b = 3*c - 21. Let r be f(b). Let w = r - -60. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000354520445 rounded to 7 dps?\nAnswer: -0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 6 = 2*i, 52*i - 55*i - 2*k = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 38, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 50*c**2 + 2*c - 5. Let r(z) be the first derivative of 101*z**3\/3 + 5*z**2\/2 - 11*z - 7. Let o(w) = 9*f(w) - 4*r(w). Is o(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4431535 is divided by 1477178.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 - 8. Let a = r - -4. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1259 + 1259.000004783. Round u to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.6+-2383\nAnswer: -2383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -1 + sqrt(5))*-1 + sqrt(30)\/((sqrt(18) - (sqrt(162) + sqrt(18)))\/sqrt(3) - sqrt(6)) + (sqrt(2205)*1 - (0 + sqrt(45) + 3)**2)*-4.\nAnswer: -53*sqrt(5)\/4 + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert a51 (base 15) to base 5.\nAnswer: 33301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 3*o - 2)*(0*o**4 + 0*o**4 + 2*o**4) + 4*o**4 - 4*o**4 - o**5.\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/20*(-5)\/2*(-39)\/(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from vgdvwtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 0*u - 2*k - 2 = 0, -22 = -u + 5*k. Which is the closest to -0.32? (a) -5 (b) 1\/4 (c) u (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.01? (a) 5 (b) 4\/5 (c) -2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -88\/48165 and -1\/5191940.\nAnswer: 202485660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 33184872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 42900 and 468?\nAnswer: 128700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -20 + r**3 + 61 - 13 - 14 - 6*r**2 - 13 + 4*r. Give x(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 26 = -5*k, -a = k - 1 + 3. Suppose -11 = 5*i - 4*v, -3*v = -a*i + 7*i + 18. Is 1*87 - (-5 - i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 9, -4, 3\/7, 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 869890051.\nAnswer: 17, 51170003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/703, 172, 5\/7, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23*n**2 + 6*n**2 - 23*n**2 + 26*n**2 - 4 to j + i*n + z*n**2 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 116*w + 487. Determine s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 209427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j + a - 384060 = 3*j, -4*a = -j + 76833. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -499 - -498.999354. Round o to five decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (14\/21)\/((-1)\/(-3)). Suppose 2*p - 3*p = -5*u + 16, 2*p - z*u = 8. Solve o - p = -3*s, -4*o + 8 = -2*s + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -81*105\/((-1837080)\/72)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(4\/3)\/((x**15\/x)\/x) assuming x is positive.\nAnswer: x**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15922 + 15925. Determine t so that -2\/3*t**g + 2\/3 - 7\/3*t + 7\/3*t**2 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (18 + 10 - 8)*(-22 - 11 + 6)*(-2*j + j + 3*j).\nAnswer: -1080*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15147953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - 2)\/(3 - 15\/6). Let z be (-1)\/j + (-1)\/68. Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -69003*n**3*y**2 - 2758*n**3 wrt y?\nAnswer: -138006*n**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -454\/15153493?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -93*q - 88*q - 86*q - 86*q - 84*q - 142 + 436*q.\nAnswer: -q - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.67 + 5830.\nAnswer: 5830.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the first derivative of -b**8\/420 + b**7\/105 - b**6\/90 + 20*b**3\/3 + 13. Let a(k) be the third derivative of w(k). Let a(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*l**5 - 49*l**4 + 7*l**3 - 6124*l**2.\nAnswer: 120*l**2 - 1176*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 189073, 189002, 188931, 188860?\nAnswer: 188789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-9) - (-2021)\/(-423)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -80\/21 and 14\/243333?\nAnswer: 1703331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - o = 4*o - 10, 3*s - 1 = 2*o. Find the first derivative of -s + 7 - 7 - 2*v**2 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 6085, 11884, 17457, 22804, 27925?\n\"Answer: -113*j**2 + 6138*j + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 2:46 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 23 = 3*m, -4*o - 4*m - 10 = 2. Solve o*a + 2*t - t = -5, -4*t = a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q + 4. Let m be g(4). Let p = 130 + -128. What is the third smallest value in p, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that w**2\/2 - 55*w - 112 = 0.\nAnswer: -2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -359 - -347?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -760799*-0.1\nAnswer: 76079.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 151242 divided by 75621.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -152 + 305\/2. Which is the closest to 0.2? (a) r (b) -23 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y - 32. Let i be b(14). Let d = i + 18. Solve d = -0*z + 2*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 - 4*k + 1. Let x = 84 - 83. Let n(i) = 11*i**3 + 2*i**2 - 2. Calculate the remainder when n(x) is divided by r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 176771*b*l**2 + 27*b*l - 5*b - 2*l**4 + 48*l - 10 wrt l.\nAnswer: 353542*b - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v - 3*g + 5*g + 12, -v - 5*g - 8 = 0. Put 0.4, 0.2, 1\/4, v in decreasing order.\nAnswer: v, 0.4, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -4326, 4, -2, 1 in ascending order.\nAnswer: -4326, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -506*d + 29. Is 17 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(1331)*1 + -4.\nAnswer: 1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 139*h - 76 = 199 + 3. Put 12, h, -94, -5, -2 in decreasing order.\nAnswer: 12, h, -2, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13834*k**2 - 13703*k?\nAnswer: 27668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-246)\/7995 - ((-5502)\/1365 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 215714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -3*t - 3. Let j be b(-2). Suppose -j*d = 2*d + 10. Let r be d - (-1 - 1*6). Solve -z = -r + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the third derivative of 11*k**7\/210 - k**5\/12 - 22*k**2. Find the third derivative of d(g) wrt g.\nAnswer: 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6239069\/92 - 67815. Let t = 2941\/5552 + -32\/347. What is the common denominator of t and f?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -5436, -5442, -5448, -5454, -5460?\n\"Answer: -6*q - 5430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131849588.\nAnswer: 2, 13, 19, 133451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -344 - -346. Suppose y*z + 560 = -370. Round z to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + (3 - -9) + -2 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -21363486 divided by -6\nAnswer: 3560581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5 - -3)\/((-2)\/(-3)). Let b = r - -6. Suppose 2*n - 4 = n. Solve -p - b*p = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 439346494 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-6))\/(((-1200)\/(-45))\/(-1)).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 16) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -2*n**2 - 2*n - 1. Let f(q) = 3*q**2 + 2*q + 1. Let x(l) = 3*f(l) + 4*u(l). Suppose 2*c = 6 - 0. Calculate x(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5599387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 458 divide 37518200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -36*g**3 + 2*g**2 - 2*g + 2. Let i(h) = -h**2 + h - 1. What is 2*i(f) + z(f)?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1511460 - -4?\nAnswer: -1511453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -282896 = -58*o - 76010. Is 123 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 3*v - m + 1620 = 0, 4*v - 2170 = 2*m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 96*c**2 - 1. Let q be j(1). Suppose -5*o - 252 = -3*n, -2*o = -n - 4*o + q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = v - 5*l + 4, -4*v + 2*l + 1 = -l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 193.529601ns?\nAnswer: 0.0000000000022399259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 4*z - 2508, 3*g - 92*z - 3797 = -91*z. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 4*a**2 - 14*a - 3. Determine x(7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*p**3 - p**3 + 0*p**3 + 3*p - 4*p**3 - 3*p + (2*p**2 + 2*p**2 - 6*p**2)*(4 - p - 4) to z*p + g + b*p**3 + k*p**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 291 is divided by 109?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -258592+-0.1056827\nAnswer: -258592.1056827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 102962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 9*(-15)\/(-135)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) 18 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1400.347138 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t + 21. Let u = -15 + 21. Let l be g(u). Suppose -50 = -0*d - 5*d. What is the highest common factor of d and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 22 - 11 - 20*w)*(4*w**2 - 6*w**2 + 0*w**2).\nAnswer: 40*w**3 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 24d0 + 50?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1311 + 1310210411?\nAnswer: 1310204100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 4*j**2 - 42564*j - 119179144 = 0.\nAnswer: -2302, 12943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of d**9\/168 - d**5\/10 + 4*d**2. Find the third derivative of s(j) wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 38.8827187 to 3 decimal places.\nAnswer: 38.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -r + 27. Suppose 3*b - r = -4*p, -b = -3*p + 4 + 11. Suppose b*j = -2*j + 6. Solve 3*g - 4*g + 4 = -2*z, 3*z = j*g - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 1 = -6. Let d be (26\/(-91))\/(s\/7). Let p(g) = 18*g**3 - g**2 + 2*g + 1. Is p(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11808 = -529*r + 693*r. Solve -1029*m - r = -1041*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3740.70043083 - -3740.7. Round y to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - p - 35 = 0, -p = m + p - 7. Let i be (-29)\/(-3) + 5\/15. Are m and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 28052321 and 1012146.\nAnswer: 2861336742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1571*p**2 - 3931692321*p + 3931692321*p.\nAnswer: -1571*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -29*k - 13. Give x(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (16\/5)\/((-6)\/240*-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/(-9) + (-26)\/(-6). Suppose 0*z - 4*d + 36 = 2*z, 0 = -4*z - k*d + 92. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 6*x**2 + 4*x - 4. Let d be r(2). Suppose -5*y + 3 = i - 5, -d = -2*i - 4*y. Let j be (-12)\/i*(-1)\/2. Is j not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 8*p**2 - 11*p + 14. Let b = 6 + 0. Let j = 31 - 15. What is the smallest common multiple of q(b) and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/24021734 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-60)\/(-10))\/((-6)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrmrrrrrmrrr. Give prob of sequence rr.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g - 2. Let v be j(3). Suppose -2*z - 39 = -5*k - z, -2*k + 4*z + 12 = 0. Suppose 0*c + 4*c = k, d - 30 = -v*c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooososooooo. Give prob of picking 1 s and 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-29)\/(-1) + 19\/((-95)\/30). Solve 4*a - 7 + t = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -10*h + 1. Give f(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from mottctmmhot.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + 10*q + 4*q)*(-12 + 12 - 2*q) + (-2 + 0 + 3)*(-q - q + 11*q)*(-3*q + 1 - 1).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 + 6)*(-3*q**3 - q**3 + 2*q**3) + 0*q**3 - 4*q**3 + 5*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h = -h - 6*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 + 3. Suppose m*g - 5*y + 0 = -5, -4*y + 16 = 0. Let s be ((-1)\/5)\/(3\/10 + (-134)\/670). What is the third smallest value in s, 3, -4, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-40)*-30)\/(2\/((-4)\/10))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 8 = 7. Let o(i) = -i**3 + 7*i**2 - 6*i. Let b be o(x). Suppose -z + 22 - 6 = 3*w, 3*z = -2*w + b. What is the smallest common multiple of w and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*k*v**3 + 4344*k*v**2 + 7*v**3 - 170*v**2 wrt k.\nAnswer: 2*v**3 + 4344*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*t + 1941 - 194 = -341 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 2081 + 316*o**3 + 196*o**3 - 2078 - 22*o**3 as y*o**3 + d*o**2 + v + l*o and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 7 + (-1)\/3 + -6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1391*l - 1011*l - 11239 + 112123 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -2982*w**2 + 365*w + 5082. Let d be v(-14). Round d to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-228)\/190)\/((-4)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -7.9 not equal to 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 2 = 2*j, -j - 1 = 5*i - 3*j. Let h(w) be the second derivative of w**5 - w. Let f be h(i). Solve 18 = -l - 3*m - m, 3*m = -4*l - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gmmmmmmmmbvmb. Give prob of sequence bg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 43 - 41 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of 2*j**6\/105 - j**5\/5 - 9*j**4\/7 - 58*j**3\/21 - 20*j**2\/7 + 34*j. Factor b(m).\nAnswer: 4*(m - 10)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 57816164 divided by -7?\nAnswer: -8259452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18220.\nAnswer: 2, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 0 + 3)*(p + 4*p - p) + 3 - 3 - p)*(2 + 1 - 2).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -5, -0.78, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1421815, 2843340, 4264865, 5686390, 7107915, 8529440?\nAnswer: 9950965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 75136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56*k - 151*k + 45*k + 55*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -816 + 0.5?\nAnswer: -815.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 11001100 (base 2) to base 6\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -282, -534, -786?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of -271*p**3\/3 + 516*p**2 - 396. What is the second derivative of b(i) wrt i?\nAnswer: -542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3107 a factor of 98689464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 4 = 3*g. Let a(s) = -s**2 + 8*s + 13. Let h be a(9). Suppose 0 = -p + h. Put g, p, 2 in descending order.\nAnswer: p, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6830988 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*p**4 + 7*p**4 + 4*p**4)*(-4 + 0 + 1) + p**4 + 0*p**4 - 3*p**4 to the form h + f*p**4 + u*p**3 + c*p**2 + v*p and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sdzd when four letters picked without replacement from {s: 2, d: 2, w: 1, x: 1, z: 1, m: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 3 = -s + 3*y, 0 = 2*s + 5*y + 37. Let p be (-10 - s)*(-4)\/18. Let h = -75 - -75. Which is the nearest to p? (a) h (b) 3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 717 + -61?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3451, 3461, 3475, 3493?\n\"Answer: 2*w**2 + 4*w + 3445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -97, -90, -83, -76, -69?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 74 + 14. Let f be ((-219)\/(-45) + -5)*w. Let q = -7 - -2. Which is the third smallest value? (a) -1 (b) -2\/7 (c) q (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23343977 is divided by 5055?\nAnswer: 5042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 22300332 (base 5) to base 15\nAnswer: 3d562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 173326207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(65)\/(sqrt(10)\/sqrt(2)) - (sqrt(52)*-3)**2.\nAnswer: -468 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/5? (a) 0 (b) -0.02 (c) -5.4475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -3254853446 - 0\nAnswer: -3254853446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from feefeeqeqfevjeeij. Give prob of picking 1 j and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 120*y**2 + 7*y + 13. Let h be s(-2). Let j = 483 - h. Solve -j*r + 0 = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/8 and -65\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1168463\/8 + 142050. Let f = -4002 - a. Let u = -54\/77 - -3\/7. What is the common denominator of f and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 114, 2\/3, 0.05, 0 in decreasing order.\nAnswer: 114, 2\/3, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 1231*n**3 - 18*n**2 + 1323*n - 6. Let a(x) = -3*x**2 + x - 1. Let y(t) = 6*a(t) - s(t). Find the second derivative of y(o) wrt o.\nAnswer: -7386*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, f: 2, w: 1}. Give prob of picking 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of -r**6\/10 + 21*r**5\/20 - 15*r**4\/4 + 9*r**3\/2 - 3*r. Factor u(b).\nAnswer: -3*b*(b - 3)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ucttuhch. What is prob of sequence hut?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (623\/(-119) + 5)\/(18\/(-26)). Let m = q + -2\/17. What is the third smallest value in 0.4, 124, m?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 7*x**3 + 4*x**2 + 5*x + 11. Let c(m) = 42*m**3 - 20*m**3 - 2*m**2 - 4 - 2 - 26*m**3 - 3*m. What is 11*c(s) + 6*p(s)?\nAnswer: -2*s**3 + 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeeaaa. Give prob of picking 1 a and 2 e.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -69 = 4*d - 55*y + 24*y, -35*y + 30*y = 3*d + 193 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 497 + -233. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (176\/28 + -6)*(-2)\/8. Which is the closest to 2? (a) 1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 17854*u**2 - 100*u + 158788329.\nAnswer: 35708*u - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -57710.\nAnswer: 3\/57710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -3*t**3 - 1344*t**2 + 13713*t - 12366 = 0. What is t?\nAnswer: -458, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 22921859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/(-495)*-45*26\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 200789196 a multiple of 3286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 8.01 to one decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and 0.1852151.\nAnswer: -2.8147849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-117652)\/60 - 16\/120. Which is smaller: s or -1960?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 + -14. Let w be (o\/(-3))\/((-2)\/(-3)). Do w and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**2 + 18*w - 7. What is the lowest common multiple of x(-19) and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 3*j**3 + 4*j**2 - 4*j. Let t(w) be the second derivative of -2*w**5\/5 - 13*w**4\/12 + 11*w**3\/6 - w - 91. Calculate -4*t(c) - 11*y(c).\nAnswer: -c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -344060 (base 11) to base 6\nAnswer: -15420523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4 + 83727\/(-6979)*1\/(-3). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 PM and 11:33 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -38\/5*o - o**2 + 16\/5.\nAnswer: -(o + 8)*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 less than 70?\nAnswer: 70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/10*10*(-39)\/26.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117513 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 + 23*v**2 + 16*v + 41. What are the prime factors of r(18)?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -98799 > -98803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2037*a**4 - 5*a**2 - 530.\nAnswer: -48888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-90976)\/40 + 4\/10. Let r be 1 + (61*h)\/3. Let t = r - -66237. Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of -r**6\/80 + r**5\/80 + 7*r**4\/96 + r**3\/24 + 9*r. Let l(u) = 0. Calculate u.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the first derivative of -737*t**3 - 2293*t**2 + 4109. What is the second derivative of d(f) wrt f?\nAnswer: -4422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12341123 (base 6) in base 15?\nAnswer: -7e1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1315201 to the power of 1\/2, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 5*h = 19, 0 = 4*h + 2 - 22. Let w be (-20)\/90 - (-1030)\/18. Suppose -3*j + w = -i*j. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 439*f + 10885. Determine j(-23).\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*n - 31*n = -20, -21 = -3*g + 3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 52610672 (base 8) in base 13?\nAnswer: 2426c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(4*sqrt(32))**2.\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of 4*g**3\/3 + 163. Let y(o) = -14 - 2*o + 22 - 8. Calculate y(s(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 15 - 3 = 0. What is the lowest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -821\/33279?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, d: 5, l: 1, s: 3, n: 2}. What is prob of picking 2 s and 1 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -l + 4*l - 3446, 0 = 4*n + 16. Let d be l\/10 - (-6)\/15. Suppose -2*y + 91 = -d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 + 2102\nAnswer: 2102.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 8*a = -36. Suppose -3*y = a*u - 164 + 47, -3*y = 2*u - 111. Calculate the greatest common factor of y and 630.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -92*u + 94*u - 4 = 0. Let g be 1 - 1*-5*-1. Let w = u + g. Which is the nearest to 0.2? (a) w (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4.64 - -0.64. What is the nearest to 0.3 in n, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -272, -552, -834, -1118, -1404, -1692?\n\"Answer: -h**2 - 277*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 44? (a) 15 (b) -0.312 (c) 40 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2479037070 a multiple of 5703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/9? (a) 0.2 (b) -3 (c) -1\/12 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.606 + 3.294. Let o = 3.35255 + -3.040399. Let x = o + f. Round x to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 658 divided by 5.\nAnswer: 658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the first derivative of -z**5\/20 + 7*z**4\/16 - 7*z**3\/6 + z**2 - 9. Factor r(b).\nAnswer: -b*(b - 4)*(b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:50 PM and 12:41 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 115 = -4*c, -3*c + r - 38 + 108 = 0. Calculate the remainder when 122 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 6*i + 8. Suppose 2277 = -7*k - 75. What is the units digit of i\/(-5) - k\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 + 2. Let g = 8 - d. Suppose 76 = g*m - 5*f, 4*m - 76 = -2*f + 5*f. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3039*t**2*u**2 + 4356*t**2 + 2*u wrt u?\nAnswer: 6078*t**2*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 v when four letters picked without replacement from {o: 9, v: 6, l: 2}.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6522 and 3441442?\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 86746061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 2*o**2. Suppose -9 = -l - 0*l. Suppose l = 3*x - i, 2*i = 2*x + 5*i - 6. Let s(n) = 6*n - x*n**2 - 12*n + 6*n. What is p(s(z))?\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -679 + 685. Suppose 79*g - o = 76*g. Solve 9 + 5 = -2*r - 4*h, -4*r + g*h = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18)\/(-60) + -8 + 205\/25.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -1\/24*d**5 + 0 + 0*d**2 + 8\/3*d**3 - 3\/4*d**4 + 5*d. Let b(x) be the second derivative of l(x). Differentiate b(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2 + 1*sqrt(17))**2.\nAnswer: 8*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1201, -2692, -4707, -7240, -10285?\nAnswer: -13836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d\/d**(-5)))**25*d\/(d\/d**(1\/21))*d*d**(-6) assuming d is positive.\nAnswer: d**(-2729\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 996, 4080, 9252, 16512?\n\"Answer: 1044*s**2 - 48*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 93294 and 1775.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -343 * 0.3.\nAnswer: -102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3 - (-4 + (1 - -3)))\/1. Let q be ((-104)\/13)\/(c + 1). Differentiate 27*b**4 + 32*b**4 - 52 - 71*b**q with respect to b.\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 i when three letters picked without replacement from {k: 3, s: 7, v: 3, i: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**4 + 86*u**3 + 1915*u**2 + 8500*u - 10500.\nAnswer: -(u - 105)*(u - 1)*(u + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*a + 3*a + 10. Suppose 46 = a*q - 4. Suppose 2*r + 0*r = 50. Calculate the highest common divisor of q and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 4*k + 8, 24 = 4*w + 5*k - 8. Let f(v) = v**3 + 0*v**2 + 24 + 0*v**2 + v - v**2. Let c be f(0). Calculate the highest common divisor of c and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28 + 25 + 0 + -2 + 2 + -6 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-3)*(-11 + 8)*3. Let x be 5*3\/d - -8. Solve -x*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 61 - 57. Solve m*k = -2*i + 14 - 2, -8 = -5*i + k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 29369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4805 - -4803. What is the smallest value in l, -10.7, 3, -8, 0?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(4 + -1*sqrt(5) + (-1*sqrt(45))\/sqrt(9) - sqrt(5)*1*-1*2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 28196521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 40 - (-3 - (4 + 0) - (-281 - -292)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that 44*i**3\/7 - 96*i**2\/7 - 92*i + 120\/7 = 0.\nAnswer: -3, 2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15066 + -2922779\/194. Find the common denominator of k and 9\/2.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 12*k**2 - 1197*k + 45. Let y(z) = -z**2 + 5*z - 3. Let l(w) = -j(w) - 15*y(w). Factor l(g).\nAnswer: 3*g*(g + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 765 divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (65 - 65 - 10*g**4)*(8 - 8 - 45).\nAnswer: 450*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*s - 19*s + 18 - 16 + (4*s - s + s)*(-1 - 1 + 0).\nAnswer: -30*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is fd94 (base 16) in base 12?\nAnswer: 31698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 2137 by 2.\nAnswer: 2137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the third derivative of -t**6\/180 - 3*t**5\/10 - 65*t**4\/12 - 169*t**3\/9 - 14*t**2. Factor o(m).\nAnswer: -2*(m + 1)*(m + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + 100110000111?\nAnswer: 100110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*r - 26*r + 8 = 0. Factor -66*s**2 - 71*s - 78*s**2 - 121*s - 3*s**r - 36*s**3.\nAnswer: -3*s*(s + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 1. Let t = 34 - 32. Let o(s) = -s - 12. What is t*o(l) + 22*c(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -9. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25 and 39475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 163*t + 20788 - 37740 for t.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -84779 times 4.1?\nAnswer: -347593.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -61 + 178 - 58 - 59 + 4*l**2. Let m(v) = 21*v - 3. Determine z(m(f)).\nAnswer: 1764*f**2 - 504*f + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -569 - -659. Calculate the greatest common factor of 160 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7214 = 3*b - 27798 - 4567. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 282336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*v + 58*v + 2*f = 44, v - 4*f = 38. Solve 0 = -16*g + 54 + v for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3378 + -1781. What are the prime factors of u?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 31 - 202162114?\nAnswer: -202162053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 + -6.5. Let v = 7 - n. Let z = v - 0.5. What is the second biggest value in z, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 15*a*i**3 + 2*a + 30555090*i**3 - 27831*i**2 - 5717 wrt i.\nAnswer: 90*a + 183330540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (30\/(-9))\/(365\/(-657))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, 19, 3, -15, -1, 2038 in ascending order.\nAnswer: -15, -1, 2, 3, 4, 19, 2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4525883 is divided by 245?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1202 - -8380. Is 37 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 - 3)*(0*w + 4*w - 3*w)*(-429*w - 86 - 33 + 427*w).\nAnswer: 8*w**2 + 476*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) -21\/19 (b) 3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + -20?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 10246.82 micrometers?\nAnswer: 0.01024682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + -2. What is the units digit of 4\/(-8) + (-30)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -547 (base 8) to base 11\nAnswer: -2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24 and 8328.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 49063, 98689, 148321, 197959, 247603?\nAnswer: 297253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**3\/6 + m**2\/3 + 13*m\/6 + 5\/3.\nAnswer: -(m - 5)*(m + 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x**(-2\/7)*x)**36 assuming x is positive.\nAnswer: x**(684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -46*w**2 - 30*w + 56. Give v(2).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -17 - j + 17. Let i be v(0). Are -1\/4 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange a**2 + 147*a + 1 - 38*a - 5129741*a**4 + 5129739*a**4 to v*a**4 + y*a + b*a**2 + f*a**3 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.2 in 0.07, -2\/17, -0.1, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 264883, 264881, 264879, 264877?\n\"Answer: -2*v + 264885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are -11555 and 26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5910*n - 5886*n = -72. Sort -3\/7, 43, n, -0.1, 2 in descending order.\nAnswer: 43, 2, -0.1, -3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1278673980?\nAnswer: 2, 3, 5, 1801, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 771828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 47 by -1390708.\nAnswer: -47\/1390708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5440864 divided by -4.\nAnswer: 1360216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*p = -16*p - 19*p + 36*p - 700 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/15*(3 - (-38)\/(-6))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 5*g + 5904, -14413 = -5*a + 3*g + 409. Suppose 13*k = 3512 + a. What are the prime factors of k?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(8\/5)\/(p*p*p**(-6)*p)*p**4*(p**(1\/4)\/p)\/p assuming p is positive.\nAnswer: p**(137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g + g + 2*g)*((-4*g + 3*g + 2*g)*(-g + 3 - 3) - 6*g**2 + 5*g**2 - 11*g**2).\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-14)*t\/((t*t**(-2\/87))\/t*t) assuming t is positive.\nAnswer: t**(-1216\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 48 = -6*r, 10 + 42 + 13 = r - 12*u + 2*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*d + 1. What are the prime factors of d + 7\/(28\/88)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 0.5, -1\/40, 1.84, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*q + q + 11200 = -4*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -682 (base 15) to base 13\nAnswer: -893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, -76, -355, -868, -1687, -2884, -4531, -6700?\nAnswer: -9463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 4*k. Let x = 703 - 696. Let n(b) = -b - 18. Let d(s) = s + 32. Let p(i) = x*n(i) + 4*d(i). Determine g(p(z)).\nAnswer: -12*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8439252, -8439245, -8439238, -8439231, -8439224?\nAnswer: -8439217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6750034 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*l**3\/3 - 50*l**2\/3 + 44*l\/3 + 14\/3.\nAnswer: -2*(l - 1)*(l + 7)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of s**9\/9072 - s**7\/1512 - s**4\/2 + 10*s**2. Let z(q) be the second derivative of m(q). Factor z(r).\nAnswer: 5*r**2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.04 times -50.63\nAnswer: 2.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 11\/4614?\nAnswer: 11\/4614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 121 = 4*i - 83. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -23110 (base 6) to base 14.\nAnswer: -12a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 - -1) + 0 + 0. Suppose -11*v + 3 = -10*v. Put m, v, -2 in descending order.\nAnswer: v, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -75882 divided by -3\nAnswer: 25294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 4*g + 12 = 0, 3*l + 0*g - g = -3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*i + 1 + 39. Let s(f) = -4 - 97*f**2 + 3*f + f**3 + 93*f**2 + 2 - 8*f. Calculate s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -846, -1684, -2522?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 4) + (-5 + 2 - -11) + (136 - 131)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 74522*u - 37262*u + 1 - 37261*u. Let k(a) = -21*a + 4. Give 3*i(v) - k(v).\nAnswer: 18*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 - -37. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 5. Let w be ((-45)\/6)\/(18\/(-60)). Solve w = -l*y - 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 515 - 2?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (80\/24)\/(4\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4633 = -g + 10750. List the prime factors of g.\nAnswer: 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 142*x + 9 = 2*n + 137*x, 0 = 3*n - x - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -405*d. Let j(w) = 343*w - 3. What is v(j(s))?\nAnswer: -138915*s + 1215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 5*g = -12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -19114, -4\/3, 5, -4, -0.02 in decreasing order.\nAnswer: 5, -0.02, -4\/3, -4, -19114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirty-seven halves of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -776*l - 189*l + 2895 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-10)*14\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z + 20\/9*z**2 + 2\/3*z**3 + 4\/9 = 0. What is z?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 426 is divided by 318?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*a**3 - 5*a**3 - 3*a**3 - 2*a**3 - 85*a - 67*a**2 - 31*a**2 wrt a?\nAnswer: -6*a - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -22044 (base 7) to base 4\nAnswer: -1112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 176 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**1)**(-4)*r**(-2\/3)\/(r\/r**0) assuming r is positive.\nAnswer: r**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 26 = -z - 7*u, 3*z - 4*u = 62 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8 and 213378968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11020 + 11012?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 10) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -965732 by 9956.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -706*c**2 - 1435. Let l(t) = 353*t**2 + 717. Let m(h) = 6*i(h) + 11*l(h). What is the first derivative of m(w) wrt w?\nAnswer: -706*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*h - 409 = -45*h + 391. Calculate the remainder when (-1)\/((-1)\/124) - -1 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10917*h - 20301*h + 5099*h.\nAnswer: -4285*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 5033670 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 - 6. Suppose 3*m = -2*m - y + 85, 2*y - r = 0. Let w be (2 - m\/(-4)) + -1. Solve -5*s - 3*a = 10, -6*s = -s + w*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**2 - 3*z + 1. Let n be t(2). Suppose -n = h + 1. Is 97*(12\/(-3))\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 + 2 = 2*v. Let r(a) = -a - 4. Let w be r(v). Suppose 0 = 2*x - w*x + 50. Calculate the remainder when 99 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38114 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 143672907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*sqrt(30) + 2*sqrt(2430))\/(sqrt(24) + sqrt(288)\/sqrt(48)).\nAnswer: 22*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7822 = -14*b + 5128. List the prime factors of b.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from {j: 15, w: 3, c: 2}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 1220 divide 5392602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70) + (2*sqrt(70)*-5 - sqrt(70)) - (-3*sqrt(70) + sqrt(70))*-4)\/(((sqrt(70)*-2 + sqrt(70))*-6)\/(sqrt(28)*-2)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*w - 5 + 22 + 11 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 + 4. Suppose 0 = -k*g + 4*n + 67, -n = -2*g + 2*n + 44. Let s = g - 17. What is the highest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llnllnnlns. What is prob of sequence llln?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/3 and 107\/574.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4572)\/(-21) + 0)\/((-6)\/(-147)). Suppose -23*u = -4050 - v. What is the greatest common factor of u and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 169, 2151, 5453, 10075, 16017, 23279, 31861?\n\"Answer: 660*v**2 + 2*v - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -96*d**2 - 183*d**2 + 39*d**2.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 117*f - 98. List the prime factors of n(6).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, a: 2, j: 1}. Give prob of sequence naj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12265397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(-36)*(-2)\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11323002 (base 5) in base 10?\nAnswer: 104752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116 = 4*n + 4*r, 5*r + 58 + 103 = 4*n. Suppose -d - 23 = -n. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and -492?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -166, -174, -182, -190, -198, -206?\n\"Answer: -8*s - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -79\/8 - -10. Let c(s) be the first derivative of -1\/16*s**4 + 1\/6*s**3 + 0*s - 1 - d*s**2. Factor c(b).\nAnswer: -b*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 66024141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(242)*-1 + 0 + (sqrt(2) - (sqrt(242) + -1 + sqrt(242)))**2*-4.\nAnswer: -3532 + 157*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -5, -1\/6, 91, 192, -3 in increasing order.\nAnswer: -5, -3, -1\/3, -1\/6, 91, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2327\/1868 + -2\/467. Which is the nearest to -1\/3? (a) -19 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 43052 and 1504.\nAnswer: 344416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes before 10:19 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, -41, -35, -27, -17, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 16\/3*q + 16 - 4\/3*q**2 = 0. What is q?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from spppsppspp. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2678, 21414, 72260, 171272, 334506, 578018, 917864, 1370100?\nAnswer: 1950782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82731 is divided by 252.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert b5b286 (base 12) to base 3.\nAnswer: 12101022111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 2*y**3 - 6*y**2 - 6*y - 3. Let x be c(5). Suppose -3*p + x = -s + 181, 4*p = -2*s - 152. Let b = p + 101. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -2*a + 52. Let q(r) = -6*r + 2323 - 2323 + 25*r. What is q(c(j))?\nAnswer: -38*j + 988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u - 9. Let k be y(-4). Let b(a) = -a**3 - 12*a**2 + 14*a + 15. Let c be b(k). Suppose 0 = -4*h - c*r + 2 - 4, -3*h = r + 1. Solve h = 5*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -2*n**2 - 3. Let f(a) = a**2 + 1. Let c be (5\/(-15))\/((-2)\/(-6)). Let y(t) = c*z(t) - 3*f(t). Let p(d) = 0 + 1 - 1 + 3*d. What is p(y(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes after 11:06 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 241877841.\nAnswer: 3, 31, 2600837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 687*f - 2279 = 559*f + 281 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -96405400 to the nearest one hundred thousand.\nAnswer: -96400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(162)*-3 - (-1 + sqrt(162) + 3)) + 1 + -4 + 4 + 3)**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x**14*x*x)\/x)\/(x*x*x**47*x))\/(x**(-4\/19)*x**7) assuming x is positive.\nAnswer: x**(-775\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*v - 4*p - 13, -3*v + 2*p - 1 + 2 = 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.448 - 0.228. Let j = o + -24.02. Round j to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 31. Let o = c - 63. Let t = o + 26. Let x(b) = -b**3 - 8*b**2 - 8*b - 8. Determine x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 2*a - 15. Let y be c(7). Let r(u) = -u. What is r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t - 2*t + 7*t. Let i(x) = 5*x - 3. Let a be i(-1). Let j = 9 + a. What is o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2320012002 (base 5) to base 8.\nAnswer: 23761064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3030 divided by 202\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + -17 + (10 + -3 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1123118678 to the power of 1\/3, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*m - 2*m + 4*m + (2 + 1 - 2)*(160*m + 106*m - 129*m)*(0 + 3 - 2)*(0 + 0 - 2) to s*m + o and give s.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -514.2239 - -518.39. Round s to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 divided by -337677?\nAnswer: -647\/337677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 33286 divided by 33286?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 626, 2500, 5624, 9998, 15622, 22496, 30620?\n\"Answer: 625*j**2 - j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 329 divide 167812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 11) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x + 13. Let a be 5 + 1 + -3 + -12. Let c be n(a). Let j(d) be the first derivative of -d**2\/2 - 5*d - 1. Let f(s) = -1. Give c*f(l) - j(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 - -13.1. Let z = 45 + -587\/13. What is the nearest to q in 2\/25, z, -5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2625306463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the first derivative of -9*k**4\/4 - k**3\/3 - k**2 - k + 2. Let p(z) = -z + 3. Let s be p(4). What are the prime factors of n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 3529\/3157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11382?\nAnswer: 2, 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -139 - -137. Let b(x) = x**2 - 2 + 2 - 34*x + 33*x. Let t be b(2). What is the smallest value in o, t, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -89.0082 + 89. Round q to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -434?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 291 = 95. Let a be (-1 + w\/(-35))*-10. Is a > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 times -557?\nAnswer: -33420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25 + -27. Let f be 96\/20 - q\/10. Suppose 5*t + 5 = -4*m, -2*m + 4*t - f*t = 1. Solve m = -p + 4*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-135)\/25 + -1 - -6)*-10770 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (623*h - 326*h - 306*h - 33)*(-6 + 3 + 1 + (1 + 0 + 1)*(1 + 1 + 0) - 1 + 1 + 1 + 1 - 3 + 1).\nAnswer: -18*h - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -14135012*a**4 + 28*a**2 + 378*a - 534?\nAnswer: -339240288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 4 = -4*d, -22*s + 4*d - 6 = -21*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 8835 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 340\/55 - (-992)\/(-616).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -49*f. Let h(s) = 35 - 3*s + 2*s - s - 35. Determine a(h(l)).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 6:51 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, -149, -524, -1257, -2468, -4277, -6804, -10169?\nAnswer: -14492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 194612228 divided by -3?\nAnswer: -194612228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 10 + (-6 - 2) - (26 + 8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8216445 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 21.006+-127.331517\nAnswer: -106.325517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2063529569 a multiple of 3583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 + 43. Suppose 2*b - 7*b = -h. What is the remainder when 44 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/117 and 19\/1027.\nAnswer: 9243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 215 + -72. Suppose -2 = -5*z + g. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p**4\/17 + 2452*p**3\/17 + 4074*p**2\/17 + 1628*p\/17 = 0. Calculate p.\nAnswer: -407, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1497 is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -5*s + 2. Let n(k) = 16*k**3 + 4*k**2 - 5*k**2 + 3*k**3. What is the tens digit of n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**2 + 2*s**2 + s**2)*(-s + 2*s + 0*s) - 10*s**3 - 6*s**3 + 5*s**3 + (-s**2 - 2*s + 2*s)*(-s - 2*s - 2*s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 5 (b) -1\/5 (c) -1\/12 (d) -106081 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -4 + 2 + (-3 + 19 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 11) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 9213.069 litres?\nAnswer: 9213069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -5*s + 0*s + 2*s. Let v(r) = r**2. What is t(v(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 149\/30 and 19\/5385.\nAnswer: 10770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53 + 77. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 - -29) + 1\/(-1). List the prime factors of (d\/(-4))\/(45\/(-120)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 77038657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 PM and 12:45 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 123225723.\nAnswer: 3, 13691747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (16868\/8)\/((-94)\/(-2444)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4382*o + 4755*o + 8206 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2059742 from -7.\nAnswer: -6.7940258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15978 is divided by 5236.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-78 - 197 - -203) + -1 + 31.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10632, 42519, 95662, 170061?\nAnswer: 265716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -202*b**2. Let l(d) = -36363*d. Calculate c(l(y)).\nAnswer: -267098089338*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 676\/14 + 2\/(-7). Solve -7*f - c = -23*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 + 246*n - 1436. What is w(240)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -2829917\/265 and -10678 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 28209555 = -23996445. Suppose 62*d - l = 69*d. What is d rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 528069 is divided by 410?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - 4 - 54 = x, -2*d + 81 = 103 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -3*w**2. Let b(f) = -390*f. Give b(y(k)).\nAnswer: 1170*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 7*z**2 + 5*z + 11. Is s(-6) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19164, 18373, 17582?\nAnswer: 16791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 19353*c**3 + 5*c**2 - 12*c - 4. Let d be o(-6). Round d to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 at most -106.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -5*g**2 - 4*g - 4. Suppose -v + 3 = 9. Let i be (-5)\/(-2)*v\/(-3). Let p = 1 - i. Let y(c) = -4*c**2 - 3*c - 3. What is p*y(b) + 3*k(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 + 6 = -3*a - 2*y, -5 = -a + 4*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r - 2*j + 753, 1255 = -2*r + 7*r - 5*j. Suppose x = -59 + r. Calculate the highest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 7) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/20 + 1 + -2. What is the third biggest value in m, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24743*u - 142718*u - 13241*u.\nAnswer: -180702*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.52 + 0.5094. What is l rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2.1486837s?\nAnswer: 0.035811395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -1359931*v**2 - 8577*v - 2859. Let w(g) = -1902*g**2 - 12*g - 4. Determine -4*d(o) + 2859*w(o).\nAnswer: 1906*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -3*q**2 - q. What is i(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 593367093 divided by 4047\nAnswer: 146619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be (18\/(-525)*5)\/((-4)\/14). Let y(t) be the second derivative of -1\/5*t**4 + 3\/100*t**5 + 12*t - b*t**2 + 0 + 1\/2*t**3. Determine q, given that y(q) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*m**6 - 18*m**2 - 2 + 2 + 12*m**2 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 + p**2 - 12. What is g(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 2*b**2 + 2*b. Let a(h) = 7*h - 4*h**2 + 0*h**3 - 12*h - h**2 - h**3. What is 2*a(d) + 5*q(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1526 + -440. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/5, -0.0629, -0.02, -1\/121?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 - 32*s**2 - 31*s - 30. Let r be q(33). Let l(y) = 35*y + 6*y - y**2 - r*y + 6. Calculate l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671193 is divided by 335581.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 5 (b) -21 (c) 1\/3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 103 and -241359.\nAnswer: -24859977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 69399*a**2*k - 2*a**2 + 45*a*k + k - 3921156 wrt a?\nAnswer: 138798*a*k - 4*a + 45*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(44)\/sqrt(4)*5)**2 - ((sqrt(99) + 2*sqrt(99) + sqrt(99))\/sqrt(9))**2) + 0.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(4\/5)*j*j)\/((j\/j**9)\/j))\/(j*j**(8\/13)*j*j**(-2\/29)) assuming j is positive.\nAnswer: j**(17443\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -f (base 16) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - (9\/(-3))\/3. Let m be 0 + g - 1\/1. Suppose 1 = m*i - 11. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1892*v - 166*v + 527048 = -1601*v + 124481 for v.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -2*h**2 + 5*h. Let o(l) be the second derivative of 3*l - 2\/3*l**3 + 1\/2*l**2 + 0 + 1\/6*l**4. Let r(w) = -5*o(w) - 4*q(w). Differentiate r(a) wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94446353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, 0, -14, -3.\nAnswer: -14, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 - 7. Suppose -n*y = -y + 33. Let l(s) = -4. Let j(g) = 7*g + 23. Let m(u) = -2*u - 3. Let x(z) = -j(z) - 4*m(z). Determine y*l(q) + 4*x(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 25 = 5*p. Let i(l) = l**2 - 3*l + 7. Let j be i(6). Solve 5*a - o = j, 4*a + 3*o = p*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1727733 divided by -7\nAnswer: -246819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 2*s = 16, 4*w - 3*s + s = 8. Suppose -4*x - 48 = -w*g, -3*x - 50 = 4*g - 9*g. Which is the biggest value? (a) g (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -462 > 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 9 + -37183?\nAnswer: -37174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 779829068 minus -4470?\nAnswer: 779833538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 70460 and 823?\nAnswer: 57988580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 123535879 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -18*s - 1656. Let g(c) = -22*c - 1655. Calculate 4*g(p) - 5*w(p).\nAnswer: 2*p + 1660","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -164\/11*j**2 + 0 - 570\/11*j**3 + 0*j + 14\/11*j**4 = 0.\nAnswer: -2\/7, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (28\/18 - 4\/18)*(-13937 - -13883).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71*d = -617 - 235. Let u = 515 + -287. What is the highest common factor of d and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (174\/30 - 6)*5\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6 or -53\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, x: 2, h: 7}. What is prob of sequence mm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -4563365*j**3 - 141135*j**2 - 1455*j - 5.\nAnswer: -5*(97*j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -97286 or -1070140\/11?\nAnswer: -1070140\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**3 + 8*y**2 - 13*y - 31. Let s(d) = -d**3 + 11*d**2 - 10*d - 9. Let a be s(10). Let w be n(a). Suppose -16*r + 517 = -w*r. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-106)\/126 - ((-130)\/6825 - (-171)\/(-135)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*h**2 + 20*h**2 + 9*h**2 + 8*h**2.\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/((-48)\/(-21) - 2) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b + 7 = 17*b. Let z(l) = 39*l - 43. List the prime factors of z(b).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -46 - -79. Suppose 4*y + 3*k + 21 = y, 0 = 5*y + 3*k + w. Let i(v) = -3*v**2 - 2 - 7*v + 2*v**2 + 6. Calculate i(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/323636880 and -53\/9246768?\nAnswer: 323636880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 88562 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 2 + 0 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = 3*m - 4, -56*w = 800*m - 803*m - 301 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 PM and 4:33 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 16*q + 96. Let o be u(-6). Solve o = -0*g - 2*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**2 + 3*a + 8. Let m be s(0). Let q(w) = 3*w - 7. Give q(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13316322 divided by -13316322?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be -120*-1*18294\/18 + 0. Suppose 0 = 18*g - 58*g + y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -48 - -68. Suppose 0 = -3*k + m - 5. Calculate the remainder when 13 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -80 (b) -1.94 (c) -1275.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -731*p + 262*p + 449*p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -10d0 - -4378?\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-328)\/(-48) + (-6)\/(108\/15). Let y be ((-70)\/(-2))\/((25\/(-10))\/(-5)). Suppose -10 = z - y. Calculate the greatest common divisor of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1158, 2296, 3432, 4566, 5698, 6828, 7956?\nAnswer: 9082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(132)\/sqrt(11)*-3*3.\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (84\/(-9))\/((-14)\/(-6)*((-960)\/(-28))\/24)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4149 - -4148. Which is the closest to -0.13? (a) n (b) -0.3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-39751)\/146812 - ((-1)\/4)\/1. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 3*v. Let r(u) = u**2 + 3*u. Let b be r(-3). Let c(h) = -3*h + h + b*h + 0*h. Give c(g(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x*x**(1\/2)))\/((x\/x**(2\/17))\/x)*(x\/((x*x\/x**0)\/x))**(-40) assuming x is positive.\nAnswer: x**(-13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 5*i + 499995, -4*i + 4*n - 421873 = -21893. Let u be 39\/(-65) - (-92)\/20. Let w be (62*(19 - u))\/(6\/i). Round w to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 - 21. Let u = -13 - k. Let p be (8\/u)\/(4\/(-30)). Solve -5*g + p + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1623 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the third derivative of k**6\/540 - k**5\/135 + 8*k**2. Let v(i) = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-155)\/15 + (-2)\/3. Let i = s - -5. Let n(w) = -8*w**3 + 2*w**2. Let j(a) = -a**3. Let u(r) = i*j(r) + n(r). Find the third derivative of u(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8499 divided by -3\nAnswer: -2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(3\/5))**(-6\/5) assuming r is positive.\nAnswer: r**(-18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -2*i + 16. Let r be p(6). Is 3 a factor of (r - (3 - 1))*(-90)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -357*u - 16139 = 7780 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*v - v + 3*c - 4, -2 = -2*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 70.04 + -70. Let u = 1 + -0.96. Let z = u - v. Do 1\/3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*u + 81 - 11. Suppose 0*m = -4*r - m - 21, u*r + 5*m = -45. Let l be 2\/70*-2*(-1 + r). Is 3\/29 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 4*s - 30, 4 = f + f. Suppose -33 = 2*y + p + 25, 5*p = -20. Let h = -25 - y. What is the lowest common multiple of s and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23404.\nAnswer: 2, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m - 4. Let n be r(3). Sort 2, -3, n in decreasing order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11643074177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 816139\/113134 + 3\/8081. Let n be ((-4)\/6)\/((-2)\/14304). Let u = -57301\/12 + n. What is the common denominator of w and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21210102 - 10102?\nAnswer: 21200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15040824 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19244236?\nAnswer: 2, 11, 263, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**3 + 4*s**3 - 2*s**3)*(71*s - 100*s + 342*s + 109*s).\nAnswer: 844*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8)\/2*231\/(-84). What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -77 - -164. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4b - -8996e?\nAnswer: 899ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 62711, 62702, 62689, 62672, 62651?\nAnswer: 62626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bi when two letters picked without replacement from {e: 11, b: 2, i: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 5*g - 3. Let d be n(1). Let o be 8\/(-10) - d\/(-10). What is the nearest to -1\/2 in o, 1, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (11*(-90)\/2475)\/(6\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + 23. Let g = -9 + w. Suppose 14*k - 1212 = 6. What is the remainder when k is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 13316, 26588, 39756, 52766, 65564?\n\"Answer: -9*n**3 + 2*n**2 + 13329*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/12 - 358*i\/3 + 128164\/3.\nAnswer: (i - 716)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 AM and 9:37 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -1, -7, 2\/3 in ascending order.\nAnswer: -7, -1, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -20, -19*g - 5 = -20*g - p. Which is the nearest to 2\/7? (a) g (b) -1 (c) 2\/9 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -46\/11 + 4. Let y = 41 - 40.6. Which is the nearest to -0.3? (a) d (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 212138 is divided by 2452.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -178 (b) 5 (c) 1 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**2 + 7*i - 14. Let l be w(2). Let z be l*(-1 + -3 + (-92)\/(-16)). Calculate the greatest common divisor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -131786096 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04589 minus -4?\nAnswer: 4.04589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1887 + 44.\nAnswer: 44.1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 PM and 4:39 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 2*p - 1 = 13, 0 = -3*a - 3*p + 15. Is 27 a factor of (81\/a)\/((27\/12)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 51247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -18, -24?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 64*s**4 + 2101*s - 2101*s + 479 wrt s?\nAnswer: 256*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 3)*(12*q + 4*q - 5*q)*(-q**2 + q**2 + 5*q**2).\nAnswer: -55*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 7969669 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -588 - -588. Solve -44*v - 3 - 85 = f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the third derivative of -t**5\/60 + t**4\/12 - 35*t**2. Calculate v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 16 = -s + 6*z, 5*s - 3*z + 14 = 0. Let w(v) be the second derivative of -v**4\/12 - 3*v. Determine w(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 9*r**4\/4 - 233*r**3\/2 - 2309*r**2\/4 + 5047*r\/2 + 588 = 0.\nAnswer: -7, -2\/9, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -117 - -185. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 126 and -8 - ((-36)\/(-6))\/18*-2985?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -62*t - 4257. What is the remainder when 140 is divided by b(-69)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 842, -101, -3 in decreasing order.\nAnswer: 842, -3, -13, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -512, 285126, -2 in descending order.\nAnswer: 285126, -2, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 34 + -49. Let j = c + 14. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of i**6\/120 - i**5\/20 - i**4\/24 - 2*i**3\/3 - 13*i**2 - 13*i. Let n(t) be the first derivative of k(t). Calculate n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 786 + 19*n + 15*n - 55*n.\nAnswer: -21*n + 786","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 21 - 122001431?\nAnswer: -122001410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 7*g + 42. Let x be o(-6). Let h(s) be the third derivative of 1\/30*s**5 + 1\/24*s**4 + 1\/6*s**3 + 0*s + s**2 + x. What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 138 (base 10) to base 16\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that 4*n**3\/3 - 185048*n**2\/3 + 185044*n\/3 = 0.\nAnswer: 0, 1, 46261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of 4009*v**4\/2 + 1076*v**2 - 5592. Find the second derivative of r(x) wrt x.\nAnswer: 48108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.06 - 1.26. Let k = h - -1.7. Sort k, -1\/3, 3 in decreasing order.\nAnswer: 3, k, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 88 and 4568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + 11*l + 18. Suppose 8 + 4 = 5*i - 4*k, 0 = 3*i + 4*k - 20. Let r be i*(-1)\/((-4)\/(-8)). Let b be t(r). Let a(p) = -p**2 - 7*p + 2. Give a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -258431 + 8?\nAnswer: -258422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 50 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 26446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8620 + 17421. What are the prime factors of t?\nAnswer: 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 9 - 7*x + 7 + 171*x - 242*x - 439*x. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 33 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000249796071 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 122 + -1 + (-9 + 267 - 243).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-23 - (-71 - 1 - -12)) + 9 + -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:46 PM and 5:12 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 39769894 times -3\nAnswer: -119309682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1)\/(-2))\/(-4 + 1110\/276). Let t(c) = -c**2 + 20*c + 71. Let r be t(o). Suppose 4\/3*g - 2*g**r - 1\/3*g**4 + 4\/3*g**3 - 1\/3 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**2 + 12*b + 21. Let n be g(-10). Differentiate 32 + n - 8 + 17*x**4 wrt x.\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1125\/(-2565) - (-2)\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -40 + 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is ((-156)\/(-390))\/((-2)\/(-267335)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46835 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - (-6)\/(-5))\/((-5346)\/(-900) - 6). Solve -3 + 83 = -q*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 - 1 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -1324, 21, 0, 4\/7, -0.3 in increasing order.\nAnswer: -1324, -0.3, 0, 4\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100010101110101110100 - 1?\nAnswer: -100010101110101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 3.486325 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -5*o + 25, 5*m - 5*o + o = -41. Let f(v) = -4*v**3 + 2*v**2 - v. Let i(y) = -9*y**3 + 5*y**2 - 2*y + 1. Determine m*f(t) + 2*i(t).\nAnswer: 2*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6728555*p**2*y**2 - 475*p**2*y - 2*p*y**2 - 22*p*y - 100*y wrt y?\nAnswer: -13457110*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.28820461472 + -107\nAnswer: -107.28820461472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13 - -10) + 9 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 9392 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 3, 5*w - 4 = 4*j - 17. Let n be (6\/4)\/((-3)\/(-8)). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45, 43, 41, 39, 37, 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (10\/(-15))\/((-111)\/(-9)). Is i at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98)\/(1*sqrt(7)))\/sqrt(7) + sqrt(200) + 0 + -5 - ((sqrt(24)\/sqrt(4))\/sqrt(3) + -2 - (1 + 1 + sqrt(288)))**2.\nAnswer: -263 - 77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98*q = -59*q + 70*q + 6431. What is the fifth smallest value in -1\/5, q, -3\/5, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*z = -9*z + 40. Suppose 0 = 5*k + 15, -3*o - 2*k = -23 + 5. Calculate the smallest common multiple of (-2 + 1)\/(4\/z) and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 - 2) + (-18 - -21). Let j(m) = -m**3 - 21*m**2 - 2*m - 3. Let w be j(0). Let a(k) = 1. Let g(h) = -3*h**2 + 3. What is o*g(l) + w*a(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of s**2 - 33. Let z(n) = -14*n. Give z(x(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2 - 1 - 4*z - 1 + z**2 + z**2. Let c be t(5). Suppose 4\/5*q**c - 4\/5*q - 2\/5*q**2 + 2\/5 = 0. What is q?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 315*a**2 - 13*a + 27.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44241.\nAnswer: 3, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (p - 2*p + 2*p)*(2*p - 6*p + 3*p) + (0*p + 0*p + 3*p**2)*(-2165 - 15 + 432) to the form o*p**2 + f*p + l and give o.\nAnswer: -5245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1482240 = -231*z + 424*z. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 32971232726 and -0.4.\nAnswer: 32971232725.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2528\/(-12))\/(-79)*3\/28. Let j = -0.2 - -0.25. Let h = j - 0.45. Which is the biggest value? (a) l (b) 0 (c) -1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x*x\/((x*x\/(x*(x\/(x*x**(1\/9)))\/x*x))\/x))\/((x**(-4)*x)\/x))**46\/(((x\/((x**(-1)\/x*x*x)\/x))\/x)**24*(x**2)**7) assuming x is positive.\nAnswer: x**(2510\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -8.1 greater than 4289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -159, -140, -121?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23799?\nAnswer: 3, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 2*t**2 + 9*t - 22. Let h be (33\/(-55))\/(1\/15)*1. List the prime factors of b(h).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/4 - (1 - 2). Find the third derivative of -45*q**c + 2*q**3 + 38*q**2 + 0*q**3 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 589.3741 hours to nanoseconds.\nAnswer: 2121746760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 + 60. Suppose r = -4*o + 310. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 297192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -99 times 10697?\nAnswer: -1059003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/4 of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 + -2. Let i be (-14)\/12 - (-1)\/(-3). Let r = 119 - 119.4. Put n, i, r in descending order.\nAnswer: n, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 445456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*g**2*n**2 - 139*g**2*x**2 + 15*g*n**2*x - 6*g*n**2 - 8*n**2*x**2 wrt x.\nAnswer: -278*g**2 - 16*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 5, k: 13}. Give prob of sequence kjkj.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -109e (base 15) to base 5\nAnswer: -103044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10115, -20239, -30363, -40487, -50611, -60735?\nAnswer: -70859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3544672735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -k - 3*k. Suppose k*f - 13 = 5. Let t(g) = 4*g**2 - 6*g - 1. Let o(n) = 4 - 140*n + 133*n - 5 + 5*n**2. Determine f*o(s) - 7*t(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 61.39596 minutes in seconds?\nAnswer: 3683.7576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 1 + 2)*(5*f**2 + 0*f**2 + f**2).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1 + sqrt(180) + 4 + sqrt(180))**2 + (sqrt(35) + ((sqrt(35)*2 + sqrt(35))*2 - sqrt(35)))\/(sqrt(7) + (sqrt(175) - -2*sqrt(175))).\nAnswer: 579*sqrt(5)\/8 + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/180 and -109\/2976.\nAnswer: 44640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7936565 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 353631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 64.82694061 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 4, 1 in descending order.\nAnswer: 31, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 435 = -n - 4*n. Let l be n*(3 + -2 - (-37)\/3). Let v = l - -2119. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11220220439105\/7084 + 1583882062. Let b = 351\/28 - f. Calculate the common denominator of b and -45.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 0*r + 2*u = 6, 2*r - 5*u + 24 = 0. Let h = r - -4. Calculate the lowest common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes before 12:16 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 1 = 5. Let j be p - (1\/(-1) + 47). Let l = j - -95. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -45 + 4*w**2 + 84 - 39 + w**2. Let i(q) = 6*q**2 - 9*q**2 + 12*q**2. What is m(i(v))?\nAnswer: 405*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -15 + 21. Suppose 0 = 5*s - v*s. Let l(i) = i**3 + i**2 + i + 3. Give l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -12*k - 5. Let d be b(4). Let p be (53\/(-4))\/((-3)\/(-12)). Is p < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 87 + -78. Suppose -l*i = -37 - 26. Suppose 2*n = 3*n - i. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6)\/4)\/((-9)\/30). Suppose c*k = 20, 3*k - 12 = -4*m + 3*m. Suppose -2*j - 4*o + 16 = m, 0 = 4*j - 4*o - 14 - 18. Solve 3*n + j = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of 0*u**4 + 0 + 0*u**3 - 1\/120*u**6 + 0*u**5 + 3*u**2 + 0*u. Let v(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 73 + -235. Let y = f - -161.9819. What is y rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*w - 3876 = -153*w for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/2*(13 - 15). Let s = 34 + -47. Let g = -15 - s. Sort g, 1\/2, p in decreasing order.\nAnswer: 1\/2, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 8*o**2 - 2*o + 3. Calculate n(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 3*t + 3*b - 316, -3*t = -5*b - 176. Let z = t - 66. Is 17031\/27 + z\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2538\/(-810) + (-4)\/(-30). Let w(q) = 6*q**2 + 2*q + 2. Determine w(b).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b. Let r(t) = 8*t - 4*t**2 - 8*t - 4*t**2. Determine r(z(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 105 = 5*k, -8*l - 72 = -10*l + 4*k. Calculate the remainder when 52 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 5*h + 2. List the prime factors of 2 + ((-4)\/h - -22).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 12 (b) -2 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 16.11 (b) 5\/7 (c) -0.5 (d) -4\/213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from {m: 4, w: 5, s: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes after 2:36 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 131335.8407 to the nearest 100.\nAnswer: 131300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + 1. Which is the closest to -1? (a) 2 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*s + 23323 = 6196. List the prime factors of s.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 40626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -72438 + -0.034517\nAnswer: -72438.034517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -494661*m + 312798 wrt m?\nAnswer: -494661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 287*v = -72*v + 192*v - 7849 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1355, 2583, 3675, 4631?\nAnswer: 5451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 + 2*z - 1080. Let g be p(0). Calculate the common denominator of 105\/22 and 47\/(-235) - 2*938\/g.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2119 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2764*y**3 - 2924*y**3 - 1652*y**3 + 2022*y**3.\nAnswer: -5318*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 4*v - 57. Calculate x(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -90717, -181761, -272805, -363849, -454893, -545937?\n\"Answer: -91044*m + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 + 4*r + 5. Let s be t(5). Let q = -6 - -3. Let k = q - -7. Sort s, k, 1 in descending order.\nAnswer: k, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l + 4*l - 2*l)*(-1373 - 8250 - 3788 - 4965).\nAnswer: -36752*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-2 - 619\/(-56))\/((-81)\/(-12)) and (-42)\/(-9)*(-140)\/1092.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 5*d - 43. Let m be r(9). Solve -w = -3*l + 11, 3*w = l + m - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*y + 45 - 31 = -58 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 + -0.4. Let w = -76807\/8 - -9601. Which is the second biggest value? (a) r (b) -0.2 (c) 0.4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**2 - 11*x + 12. Let o be q(10). Suppose 0 = o*b + b - 4*p - 211, 0 = 4*b + 2*p - 318. What is the remainder when b is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 - 2*d)*(2*d - 2 + 2) + 6*d**2 - 18*d**2 - 994*d + 1026*d as u*d**2 + v*d + k and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -98*y + 227*y - 111*y + (-3 + 0 + 1)*(y + 0 + 0) + 3 - 2*y - 3 in the form w*y + p and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(-1)\/g)**(1\/30)\/(g*((g*g*g*g**(2\/13)*g)\/g)\/g*g**(-10)))**23)**(-15) assuming g is positive.\nAnswer: g**(-30406\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 PM and 5:20 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (8 - 53) + -3 + -21 + 41\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 473694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 24568\/(-332)*(-5)\/(-40)*4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*f + 0 + 0)*(-2 + 2 + 2) + (-3 - 1 + 3)*(f + 0*f + f) + 2 - 4*f - 2 + (1 - 5 + 3)*(f + 0*f - 2*f) to q*f + g and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 51512208 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(847)*-3)**2 - (sqrt(63)*3 + 4).\nAnswer: -207*sqrt(7) + 7628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - 2*v - 4. Let l be j(0). Let t = 2 - l. Suppose z + 25 = t*z. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1305.606575 rounded to one dp?\nAnswer: -1305.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 539673?\nAnswer: 3, 59, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + d93?\nAnswer: d92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.017297158 to 5 dps.\nAnswer: 0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -p**3 + 11*p**2 + 185*p + 525 = 0. What is p?\nAnswer: -5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum -80.608 and -0.17.\nAnswer: -80.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1577 is divided by 133?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -210 + 97. Let x = -119.57 - -3.57. Let o = h - x. What is the fourth smallest value in 2\/9, 4, o, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*l + l**5 + 5*l + 7*l**5 - 24*l**4 + 24*l**4 + (-3*l**5 - 3 + 3)*(0 + 2 + 3).\nAnswer: -7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be 70\/(-100)*408\/(-119). Suppose 2*q + 0*q = 10. Factor -3*r**3 - b + 3\/5*r**q + 3\/5*r**4 - 3\/5*r**2 + 24\/5*r.\nAnswer: 3*(r - 1)**3*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29352351 divided by 41.\nAnswer: -715911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 50\/20*(-48)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 109 and 150 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 AM and 12:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 233317 less than or equal to 233301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -58 less than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2520783522.2 - 30.1?\nAnswer: -2520783552.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-261)\/(-15) + -17 - (-6)\/(-10). Which is the nearest to -0.27? (a) -3\/5 (b) -1 (c) k (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12952897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5107 - -12852. What is the remainder when h is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in 549152*j**2\/3 + 50301904*j\/3 + 1151904002\/3 = 0?\nAnswer: -23999\/524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - 5 - (-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(80) + 1)**2 - sqrt(80)) + -1 + sqrt(80) + sqrt(80) + 2.\nAnswer: -161 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*t + 19*t = -5*t. Let f = 1 + -5. Let z be 2\/(t - ((-2)\/f)\/1). Do z and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*z + 5*z**3 + 6*z - 13*z.\nAnswer: 5*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, w: 2, u: 3, v: 1}. Give prob of sequence uwuw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -7. What is the units digit of (7\/(-4))\/(o\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -3363753, -3363755, -3363757, -3363759?\n\"Answer: -2*p - 3363751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**7\/b)**(-30) assuming b is positive.\nAnswer: b**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59*z + z**2 - 54*z + 155*z.\nAnswer: z**2 + 42*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 130 + -67. What is the units digit of 3*7\/(w\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 167 + -112. Calculate the remainder when i is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1789.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 6 (b) 9 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 4926.13737 rounded to the nearest integer?\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + n**2 - 1)*(-2*n**3 + 1 - 1) - 5*n**5 + 4*n**5 - n**5 + 49*n**5 - 5218 + 5218.\nAnswer: 45*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-10))\/((-4)\/(-10)). Let o(i) be the second derivative of 0 + 1\/6*i**3 + 3*i - 1\/2*i**2. Determine o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 848 and 22112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-93)\/(-24) - (1 + 1). Let s = k - 11\/8. What is the closest to 1 in 1, 4, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k**2 - 7*k + 210. Let w be q(0). Suppose 0 = 3*u + 2*y - 650, -2*y + 3*y + w = u. What are the prime factors of u?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 83137 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (1588 - 1588 + 28*h)*(-50 + 196 + 143) in the form g + a*h and give a.\nAnswer: 8092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d**3*o + 290*d**3 - 70*d*o**4 with respect to o.\nAnswer: d**3 - 280*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 74\/4 + (-1)\/(-2). Suppose -63*s - 58*s + 2904 = 0. Suppose -16*c + s = -i*c. Is c greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1\/1 - 52) + -1. Let o be y\/(-10) + 2\/(-10). Solve 7*m - o = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 93*i**2 + 5*i + 5. Let n(r) = -46*r**2 - 3*r - 3. Let o(x) = 5*n(x) + 3*q(x). Let y(t) = 2*t. What is o(y(p))?\nAnswer: 196*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 426671244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of 851*c**5\/60 + 973*c**4\/24 - 427*c**2. Find the second derivative of i(s) wrt s.\nAnswer: 1702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*f - 4*b + 8, -10 = 4*f - b - 4*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, 1.6, -236 in increasing order.\nAnswer: -236, 3\/7, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) + (sqrt(162) + 4*sqrt(162) + sqrt(162))\/sqrt(9))\/((sqrt(63)*1)\/sqrt(7)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 + 5. Let f be -1*(z + (-1 - -2)). Which is the closest to 2? (a) 0.2 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -444 = 932*v - 1859*v + 964*v. Let f(d) = 4*d**2 + 1. Let h be f(-1). Suppose 10*m - 5*m - 4*a = -7, -m - 1 = -a. Sort v, h, m in descending order.\nAnswer: h, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.06 - 12.4.\nAnswer: -11.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/(-4)*1*-60. Let f = o - -33. Factor -1\/3*u**5 + 1\/3*u**4 + 0 + 1\/3*u**f + 0*u - 1\/3*u**2.\nAnswer: -u**2*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -777395 or 15.1?\nAnswer: -777395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 6, c: 3, j: 2, y: 1, l: 4}. Give prob of picking 1 c and 1 d.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 35 - 11. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -849*i**2*r**3 + 42*i**2*r - 925*i**2 + 100*i*r**3 + 14*r**3 - 158*r**2 wrt r.\nAnswer: -5094*i**2 + 600*i + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = -4*z + 7*z. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 34\/14317?\nAnswer: 34\/14317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 175450 divided by 55?\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.0988 + 49.9776. Let t = -50 + i. Round t to 3 dps.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -79c0 - -e96?\nAnswer: -6b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5\/13 + 3\/26. Sort 0.1, 15, h, -4 in ascending order.\nAnswer: -4, 0.1, h, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -925171\/18 - -51421. Which is smaller: r or 23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 - s - 1. Let o(t) = -40*t**2 - 35*t - 35. Let v(q) = 70*m(q) - 2*o(q). Let a(b) = -5*b**2. Give v(a(r)).\nAnswer: 250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*2*sqrt(140) + sqrt(140) - -5*(sqrt(140) + 1*sqrt(140)))\/(((sqrt(168) - sqrt(42))*-2)\/sqrt(6))*5)**2.\nAnswer: 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -35 - 34*v - 63 - 7*v - 53 + 3. Calculate the remainder when 85 is divided by x(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 107751*y**3 - 4*y**2 + 3*y + 2. Suppose -3*g + 20 - 14 = 0. Let t be k(g). What is t rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (80\/(-56))\/((-1)\/7). Suppose -6*x + u*x - 8 = 0. Suppose -x*o - 3*o - 2 = -4*l, 1 = -o + l. Solve o*n - 3*n = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 342 in -4, -39, -0.0034, -5?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (30\/5)\/(((2660\/(-399))\/(5\/(-9)))\/(-3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((s*s**(-3\/10))\/s)\/s)\/(s*s**4*s*s))\/(s\/s**(1\/5)*s**(-6)))\/((s**3\/s)**(-8))**(-2\/23) assuming s is positive.\nAnswer: s**(-1033\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 12 - 18 - 36 - 50*m. What is the tens digit of a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 630*j + 3. Let n(q) = -3*q. Give n(w(a)).\nAnswer: -1890*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-10 + 29*a - 29*a - 2*a**2)*(784*a + 532*a + 490*a) as y*a**3 + g*a + c*a**2 + x and give g.\nAnswer: -18060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 - (-31 - -6 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 1559 and 1560 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.33 times 994080\nAnswer: 328046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 307151\nAnswer: -3\/307151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes after 1:55 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.02 - 113321.\nAnswer: -113321.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4355131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28 + 28.7. Let r = d - 0.5. Which is the closest to 3? (a) -4\/3 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2*u**2 - 4*u + 10. Calculate i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -4*x**2 - 8*x - 2. Let a be z(2). Let c = -271\/8 - a. Is -0.3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*l = -4*l + 95. Let w = -6 - -4. Which is the smallest value? (a) 4\/7 (b) 5 (c) w (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80*n = -19*n - 366. Which is the fourth smallest value? (a) -2\/7 (b) -2\/11 (c) n (d) -121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 298, 302, 334, 394?\n\"Answer: 14*f**2 - 38*f + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -11.4818 and 0.5.\nAnswer: -5.7409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27, 59, 211, 429, 713, 1063, 1479?\nAnswer: 1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-8)\/1 - (-1 + 0). Let s = -3 - b. Suppose 4*w - 2*y - 5 = -3*y, -2*y + 10 = -s*w. Solve w*i + 4 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + -5. Let s be 4\/14 - 2\/7. What is the fourth smallest value in m, s, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -36*x - 209. Calculate the remainder when 334 is divided by p(-9).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**3 + 17*l**2 + 19*l - 16. Let t = -24 + 42. Let k be y(t). Let j be (-4 - -6) + 0\/k. Solve -4*g = -4*a, -g = j*a + 2*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 281019030 rounded to the nearest 1000000?\nAnswer: 281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4 + (0 - 0) + 3. Let m(w) = 2*w - 1. What is the units digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r**3 + 2*r**3 + 3*r**3)*(-10888*r - 66767*r + 16866*r - 4585*r - 3821*r - 48461*r).\nAnswer: -235312*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -34 (b) 16 (c) 4 (d) -5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -12\/11, 1, 213.\nAnswer: -12\/11, 1, 2, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -470.08 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/18389 and 12\/5467.\nAnswer: 202279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from grr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 147560.6 - 174678.\nAnswer: -27117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7\/6 in -8, -1, 174, -5, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 61, -5, -3, -2, -9 in decreasing order.\nAnswer: 61, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 888835 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22998034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -42147, -168316, -378597, -672990, -1051495, -1514112, -2060841?\nAnswer: -2691682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25 + 101 - -9) + -135.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -14*l + 34. Let x be t(2). Suppose u - 2*v + x*v - 11 = 0, -3*v + 11 = u. Solve -4*y + j = 0, y - j - 2*j - u = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-24)\/10)\/(3\/(-10)). Suppose -7*m + 48 = 5*m. Let q(j) = 32*j - 125. Let p be q(m). Solve -p*r - 4*n = 9, -k = 3*r - 5*r + 2*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 13\/((-117)\/(-420))*6\/(-4). Let s = -60 - a. What is the smallest common multiple of 14 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + -4 + sqrt(48) + sqrt(3) - sqrt(3))*-4 + -5.\nAnswer: -20*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00148 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -180, -176, -170, -162?\n\"Answer: v**2 + v - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 7*o**2 - 2*o - 6. Suppose -3*f + 54 = -0*f. Suppose -3*u + r - f = 0, -4*r - 1 = 11. List the prime factors of c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10*s**3 - 540*s**2?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i + 7. Let s = -8 + 3. Let a = s - -11. What is the units digit of p(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -7*d + 4. Let k be -10 + 6696\/936 + 2\/(-13). Let j(p) = -7*p + 5. Give k*i(y) + 2*j(y).\nAnswer: 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 17.524066 to 1 dp.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 566623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -3 + 0 + 0 + (26 - (-12 + 23)) + 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - 5424?\nAnswer: -5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 655.\nAnswer: 327.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**3 + 5774*y**2 - 192720*y.\nAnswer: 2*y*(y - 33)*(y + 2920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7756.7 - -7757. What is the biggest value in -6, 5, -3, m, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -16*k - 20 + 16 + 15*k. Let z(y) be the second derivative of y**3\/6 - y**2\/2 + 7*y. Give g(d) - 4*z(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/(-18)*11\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 3:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/403689 and 22\/69.\nAnswer: 9284847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 - 2*j**2 + 3*j + 3. Let r = -50 - -47. Let s be y(r). Let q(h) = -h**2 + 5*h - 4. What is q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-90)\/(-108)*1\/(-5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + -19 - (0 - 9 - (-6 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 + -41. Let z = k - -22.46. Let h = z + -7.16. What is h rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.8 and -0.0648.\nAnswer: -1.8648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.1 and 52840261505.\nAnswer: 52840261504.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - -303133041?\nAnswer: 303133101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 12) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -218 + 322. Calculate the remainder when b is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2211.3 - 0.5?\nAnswer: -2211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 81a78 (base 12) to base 4.\nAnswer: 221102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 164717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 2*q + 3739, -2815 = -2*a + 5*q - 337. Is a less than 1250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3, p: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 16 = 2*j, 0 = -3*f + 3*j + 24. Let x be (-3)\/((-4)\/2 + 1). Let 2*g**4 - g**x - g**5 - 2*g**4 - 2*g**f = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pgfbzfrzrgzb. What is prob of picking 1 f, 1 b, and 2 g?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-10))\/(12\/16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70841039 is divided by 485?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*b**2*q**3 - 5*b**2*q + 6*b**2 + b*q**4 - 78*b*q**2 wrt q.\nAnswer: -18*b**2*q + 12*b*q**2 - 156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13 + -11. Suppose -25 = -7*r + c*r. Suppose -265 = -r*u + 4*k + k, 4*u + 3*k - 219 = 0. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.253 - 0.119. Let w = r - 0.028. Let j = -4\/23 - 26\/115. Is j greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1004)\/(-10))\/((-28)\/(-70)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3680 + 6\/(36\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 82 + -82. Let z = 23 - 13. Solve g + 4*g + z = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u + 13. Determine t(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p = p - k - 19, 2*p + 14 = -2*k. Let v = -40 + 70. Let t be (v\/45)\/(1\/(-3)). Sort p, -1, t.\nAnswer: p, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/2*(146 - 145). Is g equal to -6\/1831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -332 + -230?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, 2, 0.13, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1680930 is divided by 210115.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 - -0.3. Let i be (28\/(-13) - -2)*1. Let y = 2 + -1.7. Which is the closest to p? (a) y (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 + c**2 - 3*c + 3. Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(432))**2*-6.\nAnswer: -41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -18*s**3 + 2773*s**2 - 146*s - 1204. Give j(154).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -4*(-844)\/64 - (-7)\/28.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -53 + 59. Let y = 20\/3 - r. Factor 4\/3*n - y*n**2 - 2\/3*n**3 + 0.\nAnswer: -2*n*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 11:24 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of -l**4\/12 - 2*l**2. Suppose 2 + 6 = 4*h. Let w(g) = 4*g**2 + 2*g**2 - 4*g**h. Calculate w(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -261 and -12414?\nAnswer: 3240054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -64815\/41 + 1581. Let i = 40\/287 + a. What is the third smallest value in i, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/7 + 93\/105. Let x be (-72)\/693 + 4\/(-22). Which is the closest to x? (a) n (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*b - 2*b + 3*b)*(-2 - 2*b + 2) - 1584*b + 18*b**2 + 1584*b to the form q*b + h*b**2 + y and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -198.31 and 12?\nAnswer: 210.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -9*a + 126. Let g(q) = -3*q + 43. What is -7*g(u) + 2*k(u)?\nAnswer: 3*u - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**2\/3 + 1267*b\/3 - 397162\/3.\nAnswer: -(b - 698)*(b - 569)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 5\/4*d**2 - 30*d + 315\/4 = 0.\nAnswer: 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:58 AM and 12:27 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -32207 - -418700\/13. Suppose -14 = -2*u + 4*m, 0 = -7*u + 2*u + 4*m + 23. Suppose 3 + 0 = u*s. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of -3*h**5\/5 - 15*h**4\/4 - 143. Factor o(k).\nAnswer: -3*k**3*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 6259*o + 37558. Determine k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7926*c**3 - 7916*c**3 - 5 + 23759*c**3 + 5 - 7921*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-g + 2 - 3*g + 3*g)*(4*g - 4*g + g) + 13*g**2 + 313*g**2 + 24*g**2 as r*g**2 + m*g + b and give r.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 PM and 5:25 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 621 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 13*r - 73. What is the units digit of x(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1157*v**2 - 358*v**2 - 382*v**2 - 2 - 389*v**2 + 1.\nAnswer: 28*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1235 + 8*v**4 + 6*v**4 - 1258 wrt v?\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1557.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4076800 and 4160.\nAnswer: 4076800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 171397497 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + (0 + 0 - 21). Let j = y + 45. Solve -7*m + 2*m - j = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52899985 is divided by 363.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 135*r - 157*r = -1606. What is the greatest common divisor of 2263 and r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 255423?\nAnswer: 3, 7, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (128\/(-40))\/((-1)\/(-15)*3). Let y be (-10)\/j*(26\/(-5) - -5). Which is the closest to 2\/3? (a) 3 (b) y (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 3084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*r**3 - 67337*r + 67337*r - 12007*r**2 + 12007*r**2.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.955 - -0.045. What is the closest to -3 in x, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 604.5125 milliseconds?\nAnswer: 604512.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (-132)\/8*(4586\/(-3) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 - -192. Let s = -837\/5 + y. Which is the closest to 0? (a) s (b) 5\/2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149720 is divided by 142.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -y - 2. Let t be x(-4). Suppose 5*j - 41 = t*w, 2*w + 38 = 4*j + 3*w. Let o = j - 6. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 304462.\nAnswer: 1\/304462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 6*f - 16. Let u(s) = -s + 3. Let q(z) = -11*u(z) - 2*v(z). Let y(o) = 28*o + 20. Suppose 957*k = 1109*k + 3040. What is k*q(b) - y(b)?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**2 + 12*f - 79. Determine k(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1517993900.\nAnswer: 2, 5, 269, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 119*v + 4. Let p be f(0). Solve 2*l + 18 + 2 = p*n, l + 14 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 15\/((-2)\/(-475)*14\/784). Round a to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - p - 2 = 0. Suppose 2*g = 5 + p. Let w = 24 + -16. Solve w = -b + g*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c + 8, t - 5*c - 8 - 16 = 0. Suppose 75*r - 73*r = 0. Suppose r = t*i - 3*i. Sort i, 0.8, 1\/7 in decreasing order.\nAnswer: 0.8, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 36 + -26. Suppose -w = n - 3*p - 2*p, -4*p = -2*n - 8. Solve n = -0*o - o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (16*q**4 + 0*q**4 + 9*q**4)*(-7 + 6 - 6) to a*q + v*q**2 + l*q**3 + z*q**4 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 74 + 3*g - 14 - 15 - 22 + 7*g. Determine u(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((-3)\/(-1)*18\/(-5508)*-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 3725, 14928, 33605, 59756, 93381?\n\"Answer: 3737*v**2 - 8*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 834164767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**(-3\/23)\/j))**(-17) assuming j is positive.\nAnswer: j**(-833\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22 + 929349346.53?\nAnswer: 929349346.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/((60\/(-25))\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3 - 9\/(-3) - (-22 - -3). Suppose 3*l - 11 = y. Let i be (l\/(100\/(-165)))\/(3\/(-28)). Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/(-1) - 3 - -2. Let -p*a**2 - 7*a**2 + 11*a**2 + 3*a**3 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {i: 10, k: 2, b: 2, r: 4, w: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 108157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, q: 3, l: 3, r: 3}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-36 - -37)\/(2\/8). Suppose -4*u + x*s - 4 = 9*s, 2*u = s + 12. Solve 5*l - 6*i = -i, 2*i = u*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -84*l**4 - 7073*l**3 - 5149442*l**2?\nAnswer: -2016*l - 42438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8519 and 854.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 113 in 2\/31, 2, -13\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 376757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 830776 is divided by 6597?\nAnswer: 6151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that 20*m**5 - 4*m**4 - 60*m**3 - 28*m**2 + 8*m = 0.\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/(-3))\/((-44)\/77)*(-4848)\/(-606).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 2*i - 4, -o + 0*o - 3*i = -6. Suppose o = -2*a - 6, -b = 2*a + 3*a + 18. Let j be -53*((-5)\/(-2) + b)*-2. Is j smaller than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47416210 a multiple of 2811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -2*q**2 + 5. Let b(x) = 3*x**2 - 7. Let j(a) = 5*b(a) + 7*d(a). Let m(n) be the first derivative of -33*n**3 + n - 164376. Calculate m(j(z)).\nAnswer: -99*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 10) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (60 - 51 - (0 - -4)) + 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 1829660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1181*j = -1181*j - z + 5, -3*j = 4*z - 29 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -3*z + 3. Let y = 119 - 116. Determine n(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/13132962 and 65\/72231291.\nAnswer: 144462582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -3*o - 6, 4*o = 3*k - 2 + 5. Suppose z - i = 4*z - 5, -5*z = -k*i + 1. Suppose n = 2*n + z. Let c(a) = -11*a**3 - 2*a**2 - 2*a - 1. What is c(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -88 - -72.8. Let g = -14 - u. Let q = g - 1.1. What is the third smallest value in q, -4, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ryrrrryrrrrrrrrrrrrr.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158093858 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 - 3*o**2. Let n be v(-3). Suppose -5*q + 3*q + 10 = n. Suppose 0*x = -4*x. Solve 0 = 5*m - x - q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 21 and -4.51820078691?\nAnswer: 25.51820078691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/3940 and 87\/140?\nAnswer: 27580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(243) - sqrt(3))*5)**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 - (7 - (14 + -10) - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -131782, -264121, -396466, -528817?\n\"Answer: -3*i**2 - 132330*i + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, -5, 4, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 865 or -17713?\nAnswer: 865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-686)\/(-42) - 30\/9. Let l(f) be the third derivative of 1\/15*f**5 + 0*f + 0 + 0*f**3 - 3\/8*f**4 + i*f**2. What is the second derivative of l(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9630364379?\nAnswer: 97, 4603, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 8*h**2 + 3*h + 4. Let t be g(-2). List the prime factors of (2 - t)\/(10\/(-20)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -2*l + 778 + 1754, 5*l + 3*x - 6370 = 0. What are the prime factors of l?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/31, -4, -0.176.\nAnswer: -4, -0.176, 4\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve a = -5*z + 13, -309*z + 305*z = 21*a + 131 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1804, 1927, 2132, 2461, 2956, 3659?\n\"Answer: 7*k**3 - k**2 + 77*k + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8117 - -9071. What is the remainder when o is divided by 249?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28 (base 10) in base 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor m**5 - 8*m**3 + 16*m.\nAnswer: m*(m - 2)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 8:36 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 5*((sqrt(320) + sqrt(320) + 3*sqrt(320)*3)*-2 + sqrt(320) + sqrt(320) + -1*(sqrt(320) + -1) + sqrt(320) + sqrt(320)*2 + -1)**2.\nAnswer: 518397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-15)\/(-35) - (-6)\/(-112). Which is the nearest to 0? (a) 2\/137 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*u**2 - u**2 + 560*u**3 - 13*u**2 - 2*u**2.\nAnswer: 560*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 51 + -47. What is the units digit of (-8)\/(2 - v)*495\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 1:02 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1*6*4*(-3)\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/315)\/(2\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 89 a factor of 348717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * -424696.\nAnswer: 169878.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -0.2, 0.7, -4\/25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(-9) - 7\/(-9). Let d be (-2)\/11 + (-112)\/(-88). Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -282162 take away 0?\nAnswer: -282162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 - 1. Let x = -3 - t. Let l(c) = -c**3 + 6*c**2 - 6*c + 4. Let q be l(x). What is the nearest to 0.2 in 4, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8 - -1)\/(21\/14). Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 + 3 + -35)*(-14)\/35. Let j be -2 - (-27)\/(-6) - (7 - d). Put -0.04, j, -3.4 in descending order.\nAnswer: -0.04, j, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*i = 78*i - 49. Suppose 0 = v - x - 249, -5*v = -i*v - 2*x + 514. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 + 2*p - 3. Suppose 24 = h - 34*t + 31*t, 0 = -3*h - t + 72. What is the remainder when f(-8) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*g + 31*g + 48*x = 362, -78 = -3*g - x - 176 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (0*s**3 + s**4 + 0*s**3)*(-6 - 1 - 2) + s**4 - 1 + 1 as v*s + p*s**2 + d*s**4 + u*s**3 + a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1004003 (base 6) to base 13\nAnswer: 18828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + (-288)\/462 + 50\/(-550). Sort d, 2148, 2.\nAnswer: d, 2, 2148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -3 (b) -2\/5 (c) -0.3 (d) -2 (e) -2\/3 (f) -0.1398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 + -0.1548?\nAnswer: -0.3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 315394 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -25534 - -123847. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.5? (a) -30 (b) 2266 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -916 = -82435*u + 82504*u + 3086 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - -42?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 11 = 13. Let a = z + 7. Suppose 5*s - 35 = -4*y - a, -2*y = -5*s - 37. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r\/r**(8\/7)*r)\/r*r)\/r**(-2\/27))**(-1\/12))**(-1\/79) assuming r is positive.\nAnswer: r**(44\/44793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -313*l - 336 = -305*l. Let g be l\/(-2)*364\/84. Calculate the greatest common factor of g and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 AM and 11:21 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -4388b2 (base 12) in base 4?\nAnswer: -10011320012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 + 133 = 6*c. Calculate the smallest common multiple of 220 and c.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 943970.8ng in grams?\nAnswer: 0.0009439708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from aallltalalalaaaalal.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -300*n + 109. Let d be z(-22). Suppose 13*t - d = 7890. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14280.266 + -14294. Round x to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 327*f**2 - 3*f + 124. Let p(s) = 491*s**2 - 5*s + 184. Let n(b) = 8*a(b) - 5*p(b). What is the second derivative of n(x) wrt x?\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3620447*y + 3620447*y - 10*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2593811 years in months?\nAnswer: 3.1125732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 PM and 5:22 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 5*g - 87609 = 0, -109455 = -5*t + 284*g - 279*g. Is t a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -211 - -221. Let h be 5\/v - ((-26)\/4 - -1). Solve 0 = -l - 2*l - h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 9*x**2 - 2*x + 3. Let t(w) = -4*w**2 + w - 1. What is -2*c(q) - 5*t(q)?\nAnswer: 2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(16)\/((sqrt(72)*-1)\/sqrt(9))*-3.\nAnswer: -5 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 4*q. Let t(f) be the first derivative of 4*f**3\/3 - f**2 - 2*f + 6. Let g be t(-1). Let y(l) = -3*l - 5*l + g*l. Determine y(h(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((0 + sqrt(325) + 0 + sqrt(325) + (sqrt(325) - -3*sqrt(325)) + 2)*-3 + -1)*3)**2.\nAnswer: 11340*sqrt(13) + 948141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1454 - 3. Factor -v**2 - 1466 + o + 0*v**2 - 8*v.\nAnswer: -(v + 3)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(612) - -2*(-1*sqrt(612) - sqrt(612))) + 0)**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1275 and 109905?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 + 8*g - 8. Let m be l(6). Let o be 6\/72*6*(-9 - -7). Let r(k) = -k**2 + 1. Let b(p) = p**3 - 2*p**2 + 4. Calculate m*r(d) + o*b(d).\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/23, -15, 3\/5, 0.3, -3\/5 in increasing order.\nAnswer: -15, -3\/5, 2\/23, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 5663, 19465, 41359, 71345, 109423?\n\"Answer: 4046*h**2 + 1664*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m**2 - 217*m**3 - m**2 + 316*m**3.\nAnswer: 99*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 41541 (base 10) to base 8.\nAnswer: 121105","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 107244 and 274644?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 2. Let t(u) = -10*u**2 - 32 + 8 + 11*u**2. Let v be t(s). What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 - 4) + 1*12\/(-4). What is the closest to -8 in 3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**3 - 93*x + 92*x + 5*x**3.\nAnswer: 2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 7*y**3 - 775*y**2 - 210*y + 552. Calculate s(111).\nAnswer: 1884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 2*s - 3. Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22\/7 or -7609?\nAnswer: -7609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 58 + (-60 + 40 - (10 - 21)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 7*g + 85. Let w be r(-6). Let l be (45\/2)\/((-12)\/(-24)). Suppose -3 = m - 0*m, -5*m = 5*k - l. Solve -3*n = -w*n + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10062 - -744663\/74. What is the common denominator of t and 73\/16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -474910, -949848, -1424784, -1899718, -2374650, -2849580?\nAnswer: -3324508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -18 divided by -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 25 = -4*g. Let q(n) = 0*n**2 + g - 2*n + 2*n**2 - 7. Suppose 2*o = 5*o - 9. What is q(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 35*o**3 - 5*o**2 + 10*o - 6. What is the hundreds digit of q(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 813209.\nAnswer: 813209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -18*v + 20. Let n(q) = 14*q - 10. Calculate -6*c(y) - 13*n(y).\nAnswer: -74*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-366)\/(-244) - 19\/4 - (-5)\/(-4)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21640426499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 463933\/2750 - 403\/250. Let u = q + -167. Let m = 289\/4 - 72. What is the third biggest value in 0.1, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rmv when three letters picked without replacement from vvmmmrmremvrremmemme?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 215084780 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 84\/(-60) + 114\/85.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the first derivative of 2*u**3 + 54 + u**2 + 1\/4*u**4 + 9*u. Calculate t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 + 9cc9?\nAnswer: 9cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(432))*6 - (4 + -2*sqrt(432)).\nAnswer: 14 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 103 (base 4) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*b**2 - 40*b - 240.\nAnswer: 5*(b - 12)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than -301\/471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.49 + 0.09. Let p = 1.1 - 1. Which is the closest to -0.1? (a) y (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p**2 + 0*p**2 - 5*p**2)*(-1 + 1 - p) + 5*p**3 - 6*p**3 - 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 974 + -531. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4853840 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 657, -23177, 1?\nAnswer: -23177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - r - 96 = 0. Suppose 8*t + 3177 = 3313. Calculate the remainder when r is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -588867, -588868, -588869, -588870?\n\"Answer: -j - 588866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1150\/19 + -559879\/9253. What is the common denominator of l and -39\/4?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 24.61 + 0.39. Let q = o + -25.026. What is q rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 128978.2 + -128978. Let y = 539\/4 + -773\/4. Let r = 60 + y. Which is the nearest to 2? (a) 6 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -7327315 + -0.09\nAnswer: -7327315.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + t = 14, 2*t - 9 = -3*u - 30. Let d be (-2)\/u + 418\/(-385). What is the nearest to 1 in -3, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -262052 (base 12) to base 4.\nAnswer: -2120232332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 529*s - 528*s + 4*i - 10 = 0, -50 = -5*s + 15*i for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*v**2*x**2 - 2*v**2*x + 5769*v*x + 303913*x**2 wrt v.\nAnswer: 6*v*x**2 - 4*v*x + 5769*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 3*g**3 + 8*g**2 + 13*g - 27. Let u(h) = -2*h**3 - 9*h**2 - 12*h + 26. Let c(z) = -4*u(z) - 3*x(z). What are the prime factors of c(12)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(1\/27)*o*(o*o**(1\/24))\/o assuming o is positive.\nAnswer: o**(233\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/762880 and -91\/691360.\nAnswer: 22123520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -z**2 - 3*z**2 - 3343 - 2*z**3 - 31*z + 3338 - z**2 - z**4 in the form h*z**2 + j + o*z**4 + n*z + t*z**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3 + 6)*(-1264)\/(-30). Let t = -126 + c. Factor 0 + 6\/5*f**3 - t*f**4 + 2\/5*f - 6\/5*f**2.\nAnswer: -2*f*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -5*t**3\/3 - 11*t**2\/2 - 3*t. Let n(g) = -g**2. Let m(j) = n(j) + p(j). Let w be m(-10). Is w greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*c**3*n - 16908*c**3*w - 13595*c**2*n*w - 3*c*n*w wrt c.\nAnswer: -24*n - 101448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -5*z**2 + 9*z - 15. Let o(a) = -9*a**2 + 16*a - 28. Let d(s) = 7*c(s) - 4*o(s). Determine d(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n + 2*n + 3*m + 460, -2*n = m + 183. Is -89 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g + 12*g - 40 = 0, -8*g + 37 = -h + 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 149*x = -1564*x - 77085 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 844826971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 2*7.6\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -267129312.\nAnswer: 1\/267129312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n**4 - 11*n**3 + 27*n**2 - 25*n + 8 = 0. Calculate n.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) 2\/11 (d) 1\/89 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17*x**4 - 5*x - 4*x + 8*x - 14*x**4 - 4*x**2 - x**3 to the form q + m*x**4 + k*x**2 + b*x**3 + d*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 486*v - 55. What is the units digit of n(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 40 = -0*u. Let t be (4\/u)\/(2\/(-50)). Suppose -3*m = -t - 17. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-6)\/(u**(9\/4)\/u) assuming u is positive.\nAnswer: u**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*f**5 - 2*f**3 + f**2 - 4*f**4 + 18*f**5 + 3*f**2 - 6*f**5.\nAnswer: 2*f**2*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5808900 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + -1 + (4 - 2). Let i(u) be the first derivative of 2*u**2 - 2*u + q + 6*u + u. What is the derivative of i(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l - 10*l - 7 + 1. Let d be a(-6). Suppose b - 5*p = 69, b - d = 2*p + 27. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 948 and 3114528?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(-1)*1 - -7. Let u be (-4)\/(-3)*30\/h. Solve -5*n + 5 + u = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**2 + 9*s - 6. Let p be d(8). Let m be 22\/1 + 1 + 1. Suppose -5*b + 2*o - 4*o = -88, -2*o = -2*b + m. Solve p*c = -2*c - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 4*y = 119 - 74, -5*y = 2*k + 66 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from kqtpjtlp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yfyyfyyyffwyywf. Give prob of picking 4 y.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9 in -1, 2\/5, -2\/13, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 2*o**2 - o - 2. Let r(v) = v**3 + 3*v**2 - 4*v + 2. Let z be r(-4). Let p be w(z). Let s be (-26)\/(-4) - p\/8. Solve -11 - 14 = s*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4*-1 + -10 + -5*372\/(-135). Which is the fourth biggest value? (a) -21 (b) -5 (c) l (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(76) + (((sqrt(76)*-2 + sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76) - sqrt(76))*4 - sqrt(76)) + sqrt(76))\/sqrt(4) + -1.\nAnswer: -11*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 - 39*c**2 - 40*c - 81. Calculate d(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 - 3*y**2 - 2*y - 5. Let o be b(4). Suppose -o*v + 2*v + 12 = 0. What are the prime factors of v?\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: 2, a: 1, v: 1, i: 2}. What is prob of picking 1 a, 1 i, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 2*j + 2 = -56, 2*j = -3*g + 38. What is o in -11*o**4 + 13*o**4 + 32*o**2 - g*o - 46*o**2 = 0?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 516, 490, 448, 390, 316, 226, 120?\n\"Answer: -8*b**2 - 2*b + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*c - 2 + 281*c**2 - 159*c**2 - 147*c**2 + (2 - 2 - 2*c + (c - c - c)*(2 - 4 + 0) + 0 + c + 0)*(0*c + c + 7*c) to k*c**2 + l + d*c and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-9) - 102\/(-27). Let y(f) = -1 - 2 - s*f + 5*f + f**2. Calculate y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 26727637 to the nearest integer?\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -1.635\nAnswer: -0.1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1305\/4 - -9075\/28. Calculate the common denominator of x and -7\/351.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 = 5*h + 4*i, 22 = -0*h + h + 3*i. Let a(w) = 2*w**3 - 2*w**2 + 13*w. Let j(u) = 42 - 42 - u**3 + u**2 - 6*u. What is h*j(f) + 6*a(f)?\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (38 + 40 - 114 + 38 + 4*j)*(-7*j + j + 0*j).\nAnswer: -24*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 4*a = -56, 2*o - o = -4*a - 5. Let b = 18 + o. Solve -d - b = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 204783566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 4152 = -51*v + 4598. Calculate the remainder when 4898 is divided by v.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 2:02 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 10, c: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (9\/3 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 f, and 1 w when three letters picked without replacement from xcqfcqcqwwq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 2*j - 292 - 768*j**3 - 257*j**3 - 299 + 592 as m*j**3 + v*j**2 + o + t*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6\/(-5))\/(1\/(-5)). Suppose -5*c - 5*r + 20 = 0, 0*r - r + 7 = 2*c. Let b be (15 + 0)*5\/c. Solve -j*n - b = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 55025 divided by 5.\nAnswer: 11005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - -9. Let g be 3\/6*3*z. Let o = g + 5. Do 8 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5216665 (base 8) to base 4.\nAnswer: 11101312311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 + 179*r + 527. What is i(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105*u = -100*u. Suppose u = 7*x + 3*x - 50. Solve 0 = 2*g - 3*m + 13, -2*g + 5 + 22 = x*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -988*n - 983*n + 2954*n - 989*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*j + 20 = -149*j + 51*y - 50*y, 24*j = 3*y - 96 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 495295.29s to weeks.\nAnswer: 0.818940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26673*w**5 + w**2 - 20*w + 201 wrt w.\nAnswer: 1600380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -167926, -167904, -167868, -167812, -167730?\nAnswer: -167616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are 2261126 and 2261126 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ire when three letters picked without replacement from {i: 4, r: 1, w: 1, e: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 11 = -2*t - 3*x, 0 = 4*t - x - 5. Let w = -3 - -3.25. Let o = w - 0.35. Which is the closest to 1? (a) t (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6420739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 69258\/2825 bigger than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 14 - 16. What are the prime factors of (-2)\/4*76\/j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-17 + 0 - 7)*(0*d**2 - 2*d**2 + 4*d**2) - 5 - 3*d**2 + 5 + (-18 + 69 - 21)*(3*d + 2*d**2 - 3*d) in the form o + s*d + m*d**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 260, -2419, -8046, -16621, -28144, -42615?\n\"Answer: -1474*v**2 + 1743*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 + -1. Let p be ((-106)\/(-66) + -1)\/(b\/30). Is 0.1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4140 - 0?\nAnswer: 4140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*j**2 - 4*j + 3*j + j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10498607 or 10498611?\nAnswer: 10498607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2740881 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((17\/((-238)\/(-7)))\/(9\/(-2))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*a - 286928 + 286588 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, p: 7, o: 1}. What is prob of picking 3 p?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + g = 2*g - 17, g + 19 = 4*t. Suppose -3*w + 4*q + q - 340 = 0, t*w - q + 459 = 0. Is (0 - -2)*(w\/(-2) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-7) + (-240)\/(-105). Let y(f) = 6*f - 4*f**2 + f**2 + p*f**2. Give y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - 3*f + 76 - 28, -4 = c - 4*f. Let w be 0 + (1 - 0)*2. Solve 2*b = -w*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 0.2 (b) 5 (c) 0 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 2*l**2 + 17*l - 210. Let d be a(-16). What is the smallest value in d, 1\/2, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.0462 < 1\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2+-117143\nAnswer: -117145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c**4 - 237*c**3 - 2166*c**2 - 6720*c - 6624 = 0. Calculate c.\nAnswer: -69, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 + o + 29. Let t be p(0). Let l be -3 - -4 - (4 + -340). Let k = l + -221. What is the highest common factor of k and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.01765 - 84.45765. Let c = 84 + z. Sort 5, -0.3, c in ascending order.\nAnswer: c, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/210 in 8\/57, -5, -1\/7, 8.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 178*d - 2659. Let i be r(15). What is the greatest common divisor of i and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q - 14897*x + 14893*x - 42 = 0, 0 = -14*q - 4*x + 72 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 - 5*m**2 - 3. Let p(v) = 3*v**2 + 1. Let z(l) = 6*f(l) + 10*p(l). Find the first derivative of z(g) wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*h + 20 = 10*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**3 + 21*y**2 - 3*y + 67. Let f be b(21). Let r(s) = s**2 + 3*s + 6. Let m be r(-2). Solve m*z - 4 = f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 800 and 1701360.\nAnswer: 17013600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j + 22. What is the remainder when r(0) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1177, 683, -141, -1295, -2779?\n\"Answer: -165*x**2 + x + 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 12) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 760084 or 760085?\nAnswer: 760084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes before 9:05 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/1 + 50\/(-135)*3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 4 times -447\nAnswer: -1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.15 plus 404?\nAnswer: 403.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 4, o: 7}. Give prob of sequence oo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -289*q - 222760 - 368823. Is q < -2047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -73 or 7?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-3 + (-4 - 2 - -14) - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(704) + 0)**2 - (-3 + sqrt(55)\/sqrt(5))) + 2 + ((-2*(-2*sqrt(77) + sqrt(77)))\/sqrt(7))**2.\nAnswer: -sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 143974 - 143973. Let x = -8.3 + 8. Let h be 4 + -1 + (-104)\/32. What is the fourth biggest value in -3, h, r, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32984 divided by -152.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*h = -40*h + 29*h - 3120. What is the highest common divisor of 816 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.4889 rounded to two dps?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/6 + 60\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1360 + -4?\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 = -7*c - 2. What is the greatest common factor of 88 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1152) - (sqrt(1152) + -4*(sqrt(1152)*-2 - sqrt(1152))))\/(sqrt(384) + sqrt(384) + (sqrt(384) - -5*sqrt(384)*-4)).\nAnswer: 12*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/((j*(j*j**(-33))\/j)\/j))\/j)**(4\/7)*(j\/j**(13\/5)*j)\/j*j*j\/(j**(-16)\/j) assuming j is positive.\nAnswer: j**(1269\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, -7, 11, -1, 2676.\nAnswer: -7, -2, -1, 5, 11, 2676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b - 8 + 10 + 0)*(2 - b - 2).\nAnswer: 4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 65 = -46. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the first derivative of -35*t**3\/3 + 11*t**2\/2 + 7*t - 104. Let j(a) = -29*a**2 + 10*a + 7. Let p(y) = 6*j(y) - 5*x(y). What is p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 - 1357*u - 33079. Determine k(-24).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 + 3*t**2 + 7*t - 6. Let r be b(4). What is the smallest common multiple of 4 and r\/((-1)\/((-6)\/9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32177 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 698*z = -697*z - 24, 3*a = 21*z - 720 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s = -12216 + 12252 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that 2*a**5\/3 + 2*a**4\/3 - 100*a**3\/3 - 100*a**2\/3 + 98*a\/3 + 98\/3 = 0.\nAnswer: -7, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/3 and 29\/2301.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 8*d**3 - 9*d**2 - 5*d + 5. Let u(b) = -24*b**3 + 26*b**2 + 14*b - 14. What is -14*j(w) - 5*u(w)?\nAnswer: 8*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t + 3*t + t)*(t**2 + 0*t**2 + 0*t**2).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + (58 + -30 - -30) + 2 + 0 + 5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -37 - 6 - 60*g**3 - 14*g**3 - 28 wrt g?\nAnswer: -222*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 5, h: 5, m: 1, f: 4}. What is prob of picking 1 m and 2 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(2*4\/(-24)). Let h(d) = 3*d - 2. Let u be h(a). Let y be (u - -9)*34\/(-4). Solve -4*q - y = -1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(-3\/20)*(k*k\/k**29*k)\/k)\/((k**(2\/25)*k)\/(k*k*k\/(k\/(k\/(k**25*k)))*k)) assuming k is positive.\nAnswer: k**(-4893\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 34c12b (base 14) to base 15\nAnswer: 25864e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 123*m + 4. Suppose -3 = 3*a - 0. Let i = a - -4. Is s(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2848 - 3995. Let y be 2 + -3 + t + 4. Let m = y - -5677\/5. Calculate the common denominator of 10\/3 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -2*y - 2 + 9 - 1. Let v(n) = n - 6. Let i(x) = -6*l(x) - 5*v(x). Is i(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 19.9, -1\/3, 1, -4\/41, 0.12 in increasing order.\nAnswer: -1\/3, -4\/41, 0.12, 1, 19.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rggg when four letters picked without replacement from {r: 1, x: 5, g: 2, i: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, p: 3}. Give prob of picking 1 d and 2 p.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yjyyyjjjyxjyyyyysyy. Give prob of picking 4 y.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9165590 and 4582795.\nAnswer: 9165590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 9807?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38373.396 + -38378. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(5\/3))**(-32) assuming y is positive.\nAnswer: y**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 2*b**7\/7 + 34*b**5\/5 + 40*b**3 + 238. What is the third derivative of f(k) wrt k?\nAnswer: 240*k**3 + 816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1197\/(-798)*10\/(-15)*(-3)\/(-57).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9888908837.8728967151 - 9888908775.86. Let x = -0.0128853151 + m. Let r = -62 + x. What is r rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -226*f + 1161*f = -392*f + 29194 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 8, -8, -1646 in decreasing order.\nAnswer: 8, -4, -8, -1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-4 - (0 - -9 - 9)) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40*q - 23*q - 6 - 18*q to f*q + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.12 - 0.89. Does 2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27 and 14049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes after 6:11 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -840510 = -20*x + 1139510. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/5 + (-13)\/65. Which is the nearest to 1\/2? (a) -3 (b) v (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 1\/2, 2\/25, 6, -2 in decreasing order.\nAnswer: 6, 1\/2, 2\/25, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l + 12 = p, -152*p - 4 = -151*p - 3*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together -419848 and 9918.\nAnswer: -409930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 0*o + 72. Let q be 61\/(-4) - 6\/o. Let y be (126\/q)\/3 - -3. What is the nearest to -1\/5 in -1, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212392871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -48*i**3 - 33*i**2 - 38*i + 9. Let n(y) = -15*y**3 - 11*y**2 - 12*y + 3. Determine 6*k(h) - 19*n(h).\nAnswer: -3*h**3 + 11*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -87922731*a**2 - 39087460 wrt a?\nAnswer: -175845462*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 78 = 2*o - 112, 191 = 2*f + 3*o. Suppose -3*b + f = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - 2. Suppose 2*h - 38 = d - 7, 68 = 4*h + 4*d. Suppose 6*r = 14*r - h. Solve -w = -q, -2 = -c*q + r*w - 0*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-4*-2*sqrt(108)*1)**2 - (3*(sqrt(108) - -2*sqrt(108)*-3)*-2)**2.\nAnswer: 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from maammamammam. What is prob of sequence am?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 25, -1468\/3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, o: 3, l: 6, m: 1, s: 2}. Give prob of sequence oom.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-2\/11)*b**(3\/2)*b*b*b**(-2\/13)*b\/(b*b**(2\/15)\/b*b) assuming b is positive.\nAnswer: b**(13003\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -41 + 57. Calculate the greatest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4186113692 + -0.2.\nAnswer: -4186113692.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -57 and -1700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 8 + 2*h - 2*h**4 + h**2 - 19 + 17 - h**3 in the form y*h + g + a*h**4 + f*h**3 + w*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3737 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 6*a - 660 = 0. Find the common denominator of 2\/3 - (-590)\/(-12) and 10\/8*a\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**2 + 7*m - 4. Let t = -11 + 18. Give r(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 8, -5.9 in decreasing order.\nAnswer: 8, 5, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 65971890 and 1290?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the first derivative of -s**3\/3 - 4*s**2 + 31*s + 862. Determine l(-15).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-2 - -1)*(3\/3 - 88) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of -3*y**4\/2 + 5*y**3\/6 - 2*y**2. Let v be ((-75)\/45)\/(2\/12). Is n(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -3*w**4 - 197832*w**3 - 3261656175*w**2 - 6522521046*w = 0.\nAnswer: -32971, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*z + 2770 + 5135 = 0. Calculate the remainder when 182 is divided by z.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m\/(m**27\/m)*m)**(-2\/13)\/((m*m\/(m\/(((m**22*m*m)\/m)\/m)))\/((m**30*m)\/m)) assuming m is positive.\nAnswer: m**(137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 2 = s. Suppose 3*w = 4*h - 10, -2*h + 10 = -0*h + w. Suppose 2*d = h*d + 8. Put 1, d, s in decreasing order.\nAnswer: 1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 + 6*g**2 + 24*g + 213. Determine o(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fvfffvfffxvfffxvvfvv. Give prob of sequence xxff.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1560311, 3120503, 4680575, 6240527?\n\"Answer: -60*f**2 + 1560372*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 - o**2 - 2*o + 3. Let t be p(2). Suppose 2*q = -t + 5. Do 4\/9 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 30*o = -27*o + 25, 2*k = 5*o - 9. Solve -k*n + 37 = -3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uommummmmjujuujmumm. Give prob of sequence jjj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1066\/5 - -214. Suppose 0 = 15*a + 21 - 51. Let o = 22 + -21.7. What is the nearest to -1\/3 in g, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b = 8.8 - 34.8. Let m(k) = -3*k - 17. Let x be m(-5). Let f be x\/1 + 40\/18. Is b != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 232\/183 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -10864*h + 17866 - 17866 in the form l + m*h and give m.\nAnswer: -10864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(10\/9)*g*g**(-2\/11)*g assuming g is positive.\nAnswer: g**(290\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 23875 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 454*w**2 + 48*w**3 - 452*w**2 + 185 - 26*w**3 - 24*w**3 as x + p*w + t*w**3 + i*w**2 and give x.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 181 is divided by 126?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, b: 2, i: 1, p: 1, m: 1, o: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6163*p**2 + 12326*p**2 - 6162*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f - 2*f**2 + 4*f**2 - 266*f**3 - 2 + 251*f**3 as s*f**3 + h*f + d*f**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 170573668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from basbsss. Give prob of sequence bss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 152377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4005*z - 2368*z - 3861*z to h + l*z and give l.\nAnswer: -2224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2653.4 * -208.27\nAnswer: -552623.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -1 (c) 1\/66 (d) 20 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 6*w**2. Let o(a) = -a + 1. Calculate o(t(z)).\nAnswer: -6*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -18 + 16 - (-1 + 2 + 2 + (35 - 75))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 AM and 1:48 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((216\/80)\/(-9))\/(27\/105)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 AM and 6:28 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71633971?\nAnswer: 17, 19, 463, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -190*l**3 + 193*l**3 + 116843*l - 58545*l - 58298*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 118722783 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 4*b - 449 = -4*o, o - 110 = b. Suppose -4*n + 6*y + o = y, -n + 7 = 3*y. Let p be (-4)\/(-16) + n\/8. Solve 3*m = 4*m + p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.3? (a) -4\/3 (b) -1\/5 (c) -45.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -12*n - 6. Let m be q(-2). Solve -5*k - 14 = x, -2*x - 6*k = -k + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -93590889 divided by -5\nAnswer: 93590889\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of 16045 and 0.3.\nAnswer: 16045.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 35 = 4*g, 9*f + 4*g - 25 = 10*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 57\/986 and (1078\/(-20) + 5\/10)\/((-24)\/20).\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 + 7*j + 1. What is f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*l = -59*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 4*b = 3 - 83, 2*t - b - 35 = 0. What is the common denominator of 3802\/(-468) - ((-256)\/26 + 10) and 64\/(-5) - t\/(-75)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 110*s - 19. Let i(b) = 65*b - 10. Let y(x) = -5*i(x) + 3*z(x). Let n(r) = r + 1. Calculate 3*n(f) - y(f).\nAnswer: -2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 - s - 3. Let z be (-4)\/(-14) - (-528)\/(-84). Let c(m) = m. Let d(p) = z*c(p) - j(p). Let w(q) = q**2 - 5*q - 6. Let f be w(5). Determine d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 73713, 73725, 73739, 73755, 73773, 73793?\nAnswer: 73815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1270 a factor of 1327150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o**3 + 33*o**2 + 26*o + 16. Determine i(-17).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-1)\/4 - 469017\/108)*-1.\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:42 AM and 2:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10423663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/24? (a) -364 (b) -10 (c) 5 (d) 0 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 - 5*j**2 - 36*j + 5. Let p be x(9). Let h be (-50)\/30*(-36)\/p. Calculate the greatest common divisor of 75 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 593408.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**2 - 6*l - 2. Let r be n(7). Suppose -65 = -5*k - r*a, -2*k + 0*k = -a - 20. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m - 2*m + 5*m)*(-9*m + 4*m - 12*m + (-2 + 1 + 0)*(2 - 2 + 2*m)).\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-75)\/(-300))\/((-2)\/(-168))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-12))\/z**(-2\/13)*z**13\/z**(-2) assuming z is positive.\nAnswer: z**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.03 * 801\nAnswer: -24.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 14)*(-3*p**2 - 2*p + 2*p) + (-1 - 1 + 3)*(5*p**2 - p**2 - 2*p**2) + 3*p**2 - 5*p**2 + 0*p**2.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1470672, -1470900, -1471128?\nAnswer: -1471356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -843917, -1687810, -2531703?\n\"Answer: -843893*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18.7 + 18.619. Let d = y + 0.08100168. Round d to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 divided by -367255.\nAnswer: -8\/367255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109*d - 131*d - 28*d.\nAnswer: -268*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 + s**3 + 0*s**2)*(-s**2 + 2*s**2 + s**2) + 25*s**2 - 25*s**2 - 11*s**5.\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h = 39*b - 44*b - 40, -4*b = -5*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 4*r = -3*s + 10, 14 = 4*s - 3*r. Suppose s*l - 148 = -0*l. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1371, -1022, -673, -324, 25?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2114.6 - -2115. Which is the third biggest value? (a) f (b) 4 (c) -208 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -210 divided by -23508?\nAnswer: 35\/3918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + l = -2*i + 124, -4*i = 4*l - 220. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31.381 rounded to zero dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n\/(n\/(n*n\/n**(9\/8)))*n)\/(n**(2\/93)*n*n) assuming n is positive.\nAnswer: n**(635\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5185 and 7327015?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25.7 - 26. Let l = 1 - 7. Let d(a) = -a**3 - 7*a**2 - 5*a + 5. Let x be d(l). Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 394\/5*m + 14\/5*m**2 + 56\/5.\nAnswer: 2*(m + 28)*(7*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2501\/17 - 147. Let f = 0.07398 + -16.07398. Let t = 10 + -7. What is the fourth biggest value in 4, b, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 + 17*s**2 + 16*s + 25. Let q be o(-16). Suppose q*n = 29*n - 2952. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0.3, -1\/7, -1\/11 in decreasing order.\nAnswer: 0.3, -1\/11, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 57459705\/224 + -256517. What is the common denominator of g and 67\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/(-7))\/((-42)\/(-441)). Suppose -g*q + 90 = 54. Calculate the lowest common multiple of 256 and q.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 11796*p + 0 + 5409*p)*(-12*p**4 - p**4 + p**4).\nAnswer: 76644*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -145*(-301)\/(-1021293)*24\/(-10)?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/80031271 and 55\/3308?\nAnswer: 320125084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1161704, -1159419, -1155604, -1150253, -1143360, -1134919?\n\"Answer: g**3 + 759*g**2 + g - 1162465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 1410.497?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.2 - 0.2. Let v be 4\/10 - 68\/20. Let p = v + 3. What is the nearest to p in -5, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1+34.86\nAnswer: 34.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 15 = -3*v, 5*v + a = 6*a - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3 and 23324?\nAnswer: 69972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 9}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from atcabcbbayatuyb. Give prob of picking 1 c, 1 t, and 1 y.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 - 6 + 4*m)*(3*m**4 + 0*m**4 + 2*m**4).\nAnswer: 20*m**5 - 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -710.64 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -74 + 3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -157143, -158584, -160037, -161508, -163003, -164528, -166089, -167692?\n\"Answer: -l**3 - 1434*l - 155708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -31436 - -226598739\nAnswer: 226567303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000111 + -101000111?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 3:35 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ucuchucuczu. Give prob of sequence cz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -1 - 71*a + 142*a - a**2 + 2*a**2 - 77*a. Give k(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of -r**4\/12 - r**3\/3 + r**2. Let c be n(-3). Let k = 5 + -2. Sort -3, k, c.\nAnswer: -3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4591398 and 414.\nAnswer: 13774194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 5523.97 days to minutes.\nAnswer: 7954516.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**2 - 10*h + 16. Suppose 7*v - 40 = 4*v - 5*b, -2*v - 4*b + 30 = 0. What is the least common multiple of c(v) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 243 + -137. Is 1*k*12\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**2 - t + 13. Let b be i(3). Let j be (-2)\/(-5) + 21\/5. Let s = j - 79\/15. What is the closest to 1 in 2, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 3240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 319 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 - 13*g**2 - 12*g - 29. Let v be o(14). Let k(x) = -48*x**3 - 3*x**2 + 1. Is k(v) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/8 and 59\/7724?\nAnswer: 15448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8\/116 - (-11808)\/(-9744). Are 0.005 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i**4\/9 + 8*i**3\/3 - 112*i**2\/9 - 8*i\/3 + 12 = 0.\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**5)\/(d\/(d*d\/(d*d**(3\/5)*d))))\/(d**(-3\/2))**(20\/9) assuming d is positive.\nAnswer: d**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1845 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -56 + 62 - (1 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1683948 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25535 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.068, -2, 0, -0.1 in descending order.\nAnswer: 0, -0.068, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -177 = -2*z - z. Suppose v + x = 18 - 4, 0 = 3*v + x - 40. Suppose -v + z = 2*t. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24830?\nAnswer: 2, 5, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 4.72922756 to three dps.\nAnswer: 4.729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 328936?\nAnswer: 1644680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4450451929 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 62 = 18. What is the smallest common multiple of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4209 and 29\/(290\/40) + 57?\nAnswer: 4209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 218209684 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -633 + 0?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -29250386 by 2659126.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -a*n*v**3 - 5*a*n*v - 2*a*v + 82*n*v**3 + 2*n*v**2 - 2*n - v**3 wrt v.\nAnswer: -6*a*n + 492*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 28.52 - 28. Let s = 3624 + -3618.48. Let g = s - t. What is the second smallest value in g, -0.023, -1\/6?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i + 43*i = 146091 + 245553. Does 129 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/1327 and 41\/68647?\nAnswer: 91094569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than 4\/72387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 33713 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 - 4*w - 27 + 34 + 5*w - 15. Let r(t) = -t**2 - 2*t + 16. What is -5*n(a) - 3*r(a)?\nAnswer: -2*a**2 + a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 24*z + 13. Let g(q) = 8*q + 4. Determine 7*g(s) - 2*r(s).\nAnswer: 8*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 680860 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i = -12*i + 14*i. Factor 0*j + 8\/9*j**3 + i - 2\/3*j**4 - 2\/9*j**2.\nAnswer: -2*j**2*(j - 1)*(3*j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18874 + 19109. Let o be 378\/8 + (-1)\/4. What is the greatest common factor of o and w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of s**3\/3 - 5*s**2 + 6*s - 47. Does 3 divide g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -38*a + 37*a + 3645. Let o = a + 200. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -6*c + 75. Suppose 509 = -d + g + 518, 0 = -4*d + g + 45. Give i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.047 times 161.2?\nAnswer: -7.5764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7405, -7455, -7539, -7657, -7809?\nAnswer: -7995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -22 * -0.0887602.\nAnswer: 1.9527244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18030 - -10459. Is l > -7569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of -b**6\/60 - b**4\/12 + 3*b**2\/2 + 3. Let u(a) be the second derivative of g(a). Find the second derivative of u(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 540 - 9178\/17. What is the closest to 1 in -0.1, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*42\/8*32\/24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 20 = -o - 8, 3*o = -4*q + 41. Suppose 3*a = 16 - o. Differentiate -4 + r**a + r**3 - 3*r**3 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -963 (base 16) in base 14?\nAnswer: -c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6 (b) -2 (c) 1\/23 (d) 3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 5*w**3 + 6*w**2 - 8. Let f = 3269 + -3275. Let r be 51\/(-9) - (-2)\/3. Let q = f - r. Let l(k) = -k**3 - k**2 + 1. Determine q*t(i) - 6*l(i).\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (1 + sqrt(72))*3 + (sqrt(72) + -1)*3 + 2*(sqrt(72) - -1*sqrt(72)*6) + 3)**2.\nAnswer: -240*sqrt(2) + 28801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-190800)\/(-900))\/((-38)\/(-5)) + -28?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -167*m - 175*m - 24 = -346*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 60506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 772 and 4?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -1000011011010011110 (base 2) to base 15\nAnswer: -56c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -156.53 + 136.9. Let j = f + 20. Let w = j - 0.07. What is w rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0571491 to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -80 + 0 + (1091 - 941)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + 7*h**2 - 4*h + 1. Let y be a(6). Let s(x) = x - 13. Let b be s(y). Suppose -3*u + 12 = -b*u. Solve -2*f + 14 = u*r, 2 = -r - 3*f + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*m + 30*m - 4326 = 9246. What are the prime factors of m?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 517, 2418, 5707, 10384, 16449?\nAnswer: 23902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3186643605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -2*c**3 - 4*c**2 - 4*c. Let o(s) = s**3 + 3*s**2 + 3*s. Let u = 158 - 161. What is u*t(w) - 4*o(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -14*d**2 + 3*d + 2. Let s be g(-1). Let h = -18 + 40. Let r = h + s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/6, 19, 2\/3, 9\/8, 3\/7, 1\/10?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 4*s**2 - 3*s**2 + 6*s - 668877*s**3 + 0 - 7 + 668874*s**3. Calculate n(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 - -12 - 14 - 16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000008145202 rounded to 7 dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 2*q + 1 = -1, -4*q = 5*a - 2. Are -5 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-24))\/((-13)\/26)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 0.09, -139\/5, 3, -0.4, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/54564 and -13\/8.\nAnswer: 109128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.027065 + -0.027065. Let w = 61\/45 - 5\/9. Sort -7, w, x, -3\/4.\nAnswer: -7, -3\/4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1229420 to the nearest 10000.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 + 16. Suppose x*d + 16 = -2*d, 4*f - 5*d = 44. What is the second derivative of -2*n**3 - 12*n**2 + 12*n**2 - f*n + n wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 48666743 and 1067?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 19832 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: Let t(f) = f**2 + 28995. Let w(o) = 1841*o. Calculate w(t(n)).\nAnswer: 1841*n**2 + 53379795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (1635*n - 10540*n - 1168*n - 2*n - 3*n + 4*n + (3 + 3 - 4)*(5*n - 5*n + n))*(2*n - 2*n + 2*n) in the form p*n**2 + o + s*n and give p.\nAnswer: -20144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-125)\/(-10)*132\/(-10). Suppose -1635 = 4*u - 475. Let j = g - u. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.9278 - 5.883861. Let g = s - 0.044. What is g rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:03 AM and 1:03 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8*k**4 + 2091*k**3 - 116761?\nAnswer: -32*k**3 + 6273*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 7235\/425 - (-138 - -152).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27 - (19 + -13 + -4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l and 1 p when four letters picked without replacement from {p: 1, l: 3, n: 4, o: 5, x: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 3 + 5 = 0. Let s = 43 + -38. Suppose -29*h = 54*h - 166. What is the nearest to -0.2 in h, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 205 a factor of 2174865090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -398, -785, -1188, -1613, -2066, -2553, -3080, -3653?\n\"Answer: -t**3 - 2*t**2 - 374*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 2*x = 38, 5*x = -4*f + 3*f - 11. Let w be 7\/(21\/12) - 64\/f. Which is the third smallest value? (a) 2\/13 (b) w (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from tscssycsyccshaacsyay?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 12*t. Let g(l) = -2*l + 9. Calculate i(g(c)).\nAnswer: -24*c + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -6*m - 5. Let s(j) = 3*j + 2. Suppose 2*t = 3*t - 79. Let d = -84 + t. Give d*s(h) - 2*p(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-7500)\/(-625)*(-1)\/(-88)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 27132 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/9 (c) 26 (d) -0.9 (e) -8\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 302 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -266 or -3447\/13?\nAnswer: -3447\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12149308 is divided by 1012441?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8156418?\nAnswer: 2, 3, 353, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y - 5*l + l, -5*y + 4*l = -24. Let a = -2 + y. Suppose -5*t + 1 = -2*o - 1, 4*t - 16 = -a*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (15\/114)\/((60\/56)\/((-6)\/(-7)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/30*2\/(-7)*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 522292.\nAnswer: 2, 37, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 187088 divided by 11\nAnswer: 17008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 6\/11, 8\/7, -139, 33, 2, 1, -2\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 4*n**5 - 4*n**4 + 12*n**3 - 4*n**2 - 8*n - 8. Let c(h) = -h**5 - h**3 + h**2 + h + 1. Let f(w) = 8*c(w) + j(w). Factor f(s).\nAnswer: -4*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-11 + 9)\/8*-12. Solve -y*l - 2*l + 15 = -5*n, 3*l = 4*n + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1182 - -4514?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 31 + -3. Let u be 55 - -1*2\/1. Let g = u - z. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7172 - 672 = 166*k + 4542 + 9028 for k.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the second derivative of p**5\/20 - 3*p**4\/4 + p**3\/6 + 3*p**2 - 17*p. What is the remainder when c(9) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = 4*y - 64, -3*y + 0*y = -h + 4. Let t = 14 - h. Let d be (-6)\/1*4\/(-6). Calculate the greatest common factor of d and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 80 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*p + 6*p**5 + 5*p**5 + 2*p**5 - 6*p**5 wrt p?\nAnswer: 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46 + 0*m**3 - 2*m**3 - 20 - 26.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:49 PM and 11:00 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 178*v**5 - 25*v**5 + 27*v**5 - 7*v**5 - 2*v**5 - v + v + (1 + 2 - 1)*(-3*v**3 - 2*v**5 + 3*v**3).\nAnswer: 167*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/7 - (-30)\/21. Let i(q) be the first derivative of 17*q**3\/3 - q**2\/2 + q - 3. What is the units digit of i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4746, -9487, -14228, -18969, -23710?\n\"Answer: -4741*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 491154 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: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**2 + 5*x - 10. Let q be r(-7). Let y be q + 3\/4*4. Suppose 2*z + 5 = y*z. Which is greater: z or -2\/57?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a + 2. Suppose 2*m = -0*m + 10. Let k(t) = -t + 1. Give m*k(d) - 2*j(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 4338*a - 910994. Calculate f(210).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l - 6. Suppose -4*b - w + 18 = -2*w, 3*b + 5*w - 25 = 0. Let z be c(b). Solve 0 = z*a + 4 + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44 - 1019834*i + 1019834*i + 5*i**2.\nAnswer: 5*i**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5225 + 223?\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*t**2 + 2841 + 2818 - 5659.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 7729155 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 - 38*l**2 + 106*l + 24. Let t be z(35). Solve 0 = -11*j + 158 - t for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 39*a**2 + a + 2.\nAnswer: -39*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -340.84975 and 0.04?\nAnswer: -13.63399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 0*z + 3*z - 14 = 0, 0 = -z - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 458829377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 178342205 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7236188 millilitres in litres?\nAnswer: 0.0007236188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 917 a factor of 1293887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*h - h + h + (-2*h - 1 + 1)*(-2 + 5 - 2) + 30 - 30 - 29*h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x**2 + 2 - 2 + (0 + 0 + 2)*(x**2 + 2*x - 2*x) + 22 + 80*x**2 - 56*x**2 - 21*x**2 - 4*x.\nAnswer: 7*x**2 - 4*x + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -16 + -eae97?\nAnswer: -eaead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 17617693811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) -0.033 (c) 1 (d) -1\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 3*d**2 - 1310*d - 39047. Give s(-28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 10*s**3 + 11*s**2 - 6*s + 6. Let v = 496 + -494. Let j(b) = 2*b**3 + 2*b**2 - b + 1. Determine v*n(p) - 11*j(p).\nAnswer: -2*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 595 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -9*t**2 - 3*t**3 + 12 - 2 + 2*t**3 - 6*t - t. Let o be q(-8). Let j(v) = -8*v**2 - 4*v**2 + 10*v**o. Let z(w) = 8*w**2. Determine z(j(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 43. Let y = 7 - 3. Suppose 0 = -4*o - y, -2*g + o + w = -0*g. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/5 + (-140)\/18 and 8\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 3*u. Let h(z) = -48*z - 2. Give i(h(f)).\nAnswer: -144*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.17 * 22.548\nAnswer: -3.83316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**2\/6 - 8009*w\/6 - 7753382\/3.\nAnswer: -(w + 3277)*(w + 4732)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5356860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17244 is divided by 2730?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t - 2568 = -13*t. Calculate the remainder when 416 is divided by t.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t = 4*d - 4677 + 4501, 5*d - 3*t = 213 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 193894 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, c: 3}. What is prob of sequence cx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 1552842?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 25 - 31 = 0. Solve -r - n = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 21\/667 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 39 (b) -96 (c) 50.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 312*z - 147. What is the tens digit of y(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1916 divide 838960836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes after 3:50 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -31398428055+0.3\nAnswer: -31398428054.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -4297 divided by -27055\nAnswer: 4297\/27055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/1 - (-1 - 1). Suppose 4*a = -4*c + 744, -2*a - c + 347 = -l*c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -598 + 126315*y**3 - 127627*y**3 - y**2 - 2*y + y**2 wrt y?\nAnswer: -7872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*u - 122*u = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2818\/9 + 2824\/9. Determine j so that -k*j + 4\/9 + 2\/9*j**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 144, -2, 20075, -0.3, -0.5, -0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 89 divided by -2\nAnswer: -89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzii when four letters picked without replacement from {i: 2, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + 2*g**4 + (4*g + g - 4*g)*(29*g**3 + 14*g**2 - 14*g**2) - g**4 - g**4 + 3*g**4.\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 6:25 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c + 1180 - 1198 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23381866405234 + -0.11.\nAnswer: -23381866405234.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 16964.4 + -16964. Sort 1, -3, -0.4, b, 30\/11 in decreasing order.\nAnswer: 30\/11, 1, b, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 - 0. Let t be 8\/2*(-18)\/s. Suppose -5*z = -t*z + 13000. Round z to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.16, -7, -2\/7.\nAnswer: -7, -4, -2\/7, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (3 - 0) + (-17)\/51*30\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1907 + -1873. Solve a*c - 29*c = -25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 6241, 797, -4647, -10091, -15535?\n\"Answer: -5444*s + 11685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 41149 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 1. Let j be (2\/(-42))\/(1\/(-3)). Let y be (2\/(-2 - -3))\/(-17 + -2). Which is the smallest value? (a) j (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12 - -1320?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -432469*n**3 - 3851844.\nAnswer: -1297407*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 11.76 and 0.1.\nAnswer: 1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 4*f + 136, -2*m + 4*f + 165 = 3*m. What is the remainder when 86 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*g**4 + 348*g**3 - 1791*g**2 + 2892*g - 1452 = 0. What is g?\nAnswer: -121, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 1*sqrt(17) + -3 + 5)**2 + (sqrt(187) + (sqrt(187) - (sqrt(187) - (sqrt(187)*1 - sqrt(187)))*-5))\/(sqrt(11)*-1*-5).\nAnswer: -23*sqrt(17)\/5 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1*125\/10*4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 9*n**2 + 1. Let l(z) = 3*z**2 + 3*z. Let p(w) = 2*w**2 + 2*w. Let j(t) = 5*l(t) - 7*p(t). Calculate the remainder when k(1) is divided by j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 4 + 3)*((-2 + 2 - 1)*(-2 + 2 + s) - 2 + 2 - 5*s) in the form h + l*s and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 120 + -122. Let h be (-3 - (-40)\/12)\/(p\/(-54)). Let g be (-24)\/(-2)*h\/27. Let c(s) = -s**3 + 6*s**2 - 2*s - 2. Give c(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2*1\/5*200. Suppose 5*o - 170 - t = 0. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -7*q**4 - 168196*q**3 - 39*q**2 + 106452083?\nAnswer: -28*q**3 - 504588*q**2 - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-112)\/12)\/((-1)\/(-3))*(-34)\/(-136)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 343417278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 0)*(2 - 2 + 2*u)*(-10 + 10 - 12).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*o**3 + 40*o - 40*o.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.093 and -0.1568.\nAnswer: 0.1713824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -4 - (31 + 4) - (-47 - -47)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 196 a factor of 1566188502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, -187, 182, -13, -1\/11 in descending order.\nAnswer: 182, 2\/7, -1\/11, -13, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 3*f + 2. Let p(h) = h + 1. Let d = -6 - -12. Give d*p(a) - 3*i(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 60505785377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 612 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of v**6\/200 + 18*v**5\/25 + 339*v**4\/40 + 134*v**3\/5 - 2*v**2 - 1. Factor r(c).\nAnswer: 3*(c + 1)*(c + 4)*(c + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3488493516 to the power of 1\/2, to the nearest integer?\nAnswer: 59063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - g = 10. Let l = g - 5. Let x be (600 - l)\/(4\/1600). Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*h**3 + h**3 - 4*h**3 + (19 + 17*h - 19)*(3 - h - 3)*(2*h + 4*h - 4*h).\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54*a**3 + 105*a**2 + 38*a**3 - 107*a**2 - 105*a**3.\nAnswer: -13*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4033 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 332*o + 406*o = 677*o + 1098 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Is 302533 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 52 = -8*t + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 9, q: 3}. What is prob of picking 3 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 86557007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from chccclcccccxcchhccx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1\/3 + 7\/(189\/5067) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (12 - 3 - (4 + 0)) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5925 and 5451.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**3 - 15*r**2 + 5*r + 2. Is o(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/2530 and 70\/2277.\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12996 and 5814.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 164111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -184*b - 770 = -74*b. Let r(q) = -4*q**3 + 7*q**2 + 13*q + 3. Let w(v) = 2*v**3 - 4*v**2 - 7*v - 2. What is b*w(d) - 4*r(d)?\nAnswer: 2*d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-36)\/10*((-2720)\/(-6))\/8. Let r = v + 539. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -746135 by 5.\nAnswer: -149227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-7201)\/(-2653))\/((60\/(-63))\/20)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 24718002, 49436005, 74154008, 98872011?\n\"Answer: 24718003*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2354 is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 77, 156, 235, 314, 393, 472?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -147541, 1\/10, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 7, -2, -1, 1597?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 not equal to -109\/3232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -5\/4 (c) 0.02007 (d) -0.5 (e) 1 (f) 0.4 (g) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 141440 and 4100?\nAnswer: 28995200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j + 923 = -92. Calculate the lowest common multiple of j and 3.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1439630299.\nAnswer: 37, 73, 532999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 7619*v + 647617. Calculate d(-85).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from emmvvevvmmme. Give prob of sequence emv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*u = 26 + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-296*b**4 - 66751*b**3 + 66751*b**3)*(0 - 2 + 0).\nAnswer: 592*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -13*z**2. Let i(r) = 7*r + 8. Calculate i(d(o)).\nAnswer: -91*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-1)*w**(-1)*w)**(-15\/8) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -2890, -5771, -8638, -11485, -14306, -17095, -19846, -22553?\n\"Answer: w**3 + w**2 - 2891*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.0567, -0.031, -0.5, -3, 2.\nAnswer: -3, -0.5, -0.031, 0.0567, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 + 2. Suppose -2*t - p*s + 17886 = 0, -8*s - 25 = -3*s. Let q = t + -89371\/10. What is the common denominator of -19\/6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -291539 = -2*t + 1109615. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -15.6.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/5 (b) 1\/4 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12.617 + 7775987.\nAnswer: 7775999.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 562.7344km to millimeters.\nAnswer: 562734400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of k**2\/2 - 2*k + 1. Let c be u(0). Let s = -11 - -8. Is s greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 10, f: 9, s: 1}. What is prob of picking 2 f?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -48345 - -4254293\/88. Find the common denominator of o and 67\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (12 - 5)*12\/14. Suppose 25*d - 72 = 13*d. Find the third derivative of -41*f**d + 2*f**u - f**6 - 47*f**2 wrt f.\nAnswer: -4800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -0*k - k - 21, 5*q + 25 = -k. Let n = 45 - 56. Let h = q - n. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -9691 divided by 246\nAnswer: -9691\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3085*v + 3087*v + 313 = -5*g, 39 + 14 = -g - 5*v - 28 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40 and 55770310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 6 + -1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 47 + 109 - 17*g - 150. Let i(o) = -34*o + 11. What is 4*i(f) - 7*t(f)?\nAnswer: -17*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -85\/13836 and -87\/25366.\nAnswer: 152196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12 - -88. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 2\/15*t**3 - 4*t + 62\/15*t**2.\nAnswer: -2*t*(t - 30)*(t - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2. Let i(z) = 7*z - 154. Determine 154*f(d) - 2*i(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u + 12. Let y be d(-9). Let r(n) = n**3 - 4*n**2 + 2*n - 6. Let b be r(4). Suppose -5*c - 3*s = b, -c - s + 3 = y*s. Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 976, 1939, 2900, 3865, 4840, 5831?\n\"Answer: y**3 - 7*y**2 + 977*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.33 + 0.03. Let w(p) = 4*p**2 + 3*p - p - 1 - p. Let q be w(1). Which is the third biggest value? (a) j (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 133989, 267872, 401629, 535260, 668765?\nAnswer: 802144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*o**2 + 2*o**2 - o**2 + (-1 + 1 + 2*o)*(2*o + 2*o - 6*o) - o**2 + 2*o**2 + o**2 + 13*o**2 - 14*o**2 - 7*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 w, and 1 l when three letters picked without replacement from qqlwwwggl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2785 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**3 + 70376*p**2 - 703610*p + 1758900.\nAnswer: -2*(p - 35178)*(p - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21433.8 + -21434. Let x be (564\/279 - 2)*-3. Sort x, 0.2, a in decreasing order.\nAnswer: 0.2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 4:29 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10168, -20336, -30504, -40672, -50840, -61008?\nAnswer: -71176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/((-81)\/9) + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 552983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 347821012 divided by 539\nAnswer: 645308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -63 - -65. Let m be -2*(2 + -6)*(3 - z). Solve 4*y - 14 = -5*w, -4 = -4*w - 4*y + m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 2, 48, 22, -2, 0 in ascending order.\nAnswer: -10, -2, 0, 2, 22, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 222010102220 (base 3) to base 10\nAnswer: 514266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 998076069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2134080 and 92976?\nAnswer: 317977920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q - 6363 + 6357 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the second derivative of -q**5\/12 + q**2\/2 + 3*q. Let t(p) be the first derivative of g(p). Let s(x) = x. What is t(s(m))?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*u + 5*u = 20. What is the nearest to u in 0.4, 2.1, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = 5*d - 13, -5*b = -4*b + 3. Suppose 0 = -d*c + 10, -7*o + 6 = -3*o - 5*c. Let h = -48 + 61. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2*s**2 - 3*s - 15. Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of -l**6\/6 - 19*l**5\/15 - 125*l**4\/36 - 34*l**3\/9 - 2*l**2\/3 - 13*l - 3. Find k such that j(k) = 0.\nAnswer: -2, -1, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 324 - 342 = 0, 2*j - 32598 = -b. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 + 71*d - 626. Calculate k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(637)*3 - (5*(sqrt(39) + sqrt(39) + 1*sqrt(39)))\/sqrt(3).\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-10*g + 23*g + 17*g)*(-g**2 + g**2 + g**2 + (g - 2*g + 0*g)*(4*g - 5*g + 3*g) - 4*g**2 + 4*g**2 - 2*g**2) as c*g**2 + d*g**3 + a*g + f and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 5.8?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12 - -10233033100020?\nAnswer: 10233033100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3465\/26038 + 3\/554. Which is the nearest to 2? (a) -3\/8 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21)\/(-3*sqrt(7)) + 2*sqrt(3)*-3)**2.\nAnswer: 361\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*o**2 + 49325*o + 3537362.\nAnswer: -(o + 71)*(7*o - 49822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-25)\/(-5)*-1 - 207\/(-36)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1857 - 1013. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 965 and 250?\nAnswer: 48250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 2*r - 25. Let j be (-2)\/((-1)\/(-6) + 0). Let a = j + r. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 10867, 22697, 35493, 49255, 63983, 79677, 96337?\n\"Answer: 483*m**2 + 10381*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 486 in 2, -2, 0.1, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of -1\/3*c**6 + 0*c**5 + 3\/2*c**2 + 0*c + 0*c**4 + 0*c**3 + 3. What is the second derivative of x(t) wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 170 > 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-5 - -12 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1\/2, -307, 2.2 in decreasing order.\nAnswer: 5, 2.2, 1\/2, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 4 = -3*f, -3*p - 2 = -2*f. Solve p = -0*u - u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 PM and 9:31 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + -8 + 2 + -1 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 280*f - 15959. What is n(54)?\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -93 - -94. What is the remainder when 4 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13625 - -5?\nAnswer: 13633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*z - 31*z + 16*z = -12. Let r = -119 - -96. What is the second biggest value in -0.03, z, r?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (26 + -4 - (-44 + 59)) + -18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19422)\/17264 - 510\/16.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -724, -3\/5 in ascending order.\nAnswer: -724, -3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1360157 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 313141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 76*g + 1323. Let q be n(-13). Solve q = 11*l + 56*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5\/2 (b) -4 (c) 1.6 (d) -14 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26.096 - 0.104. Let m = -24 - b. Let o = 3.2 - m. Is o at least as big as 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-39)\/26)\/(3*2*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, d: 7, t: 2, n: 1, q: 4, w: 1}. Give prob of picking 1 d and 2 q.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 60642931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the third derivative of -z**5\/60 - 7*z**4\/12 - 19*z**3\/3 + 124*z**2. Let w be r(-10). Solve -2 = -g + 5*u, 4*g + 4*u + 14 = -w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72*c**3 - 282*c**3 + 76*c**3 + 61*c**3 + 76*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30 + 29. Let r be ((-4)\/10)\/(2\/20). Let d be (-14)\/18 + (-3 - r). Put -0.1, x, d in decreasing order.\nAnswer: d, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 38 = -q - 3*q, -2*m = -4*q + 32. Solve 0 = 5*s + b - 28, q*s = 6*s - 3*b + 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*r**3 - 59*r**3 + 11*r**3 - 8*r.\nAnswer: -54*r**3 - 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**0)**(-15\/11)\/((l*l**1)\/(l\/(l\/((l*l*l*((l*l*(l\/(l*l**(-1)))\/l*l)\/l)\/l)\/l)*l))) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 3431434220 (base 5) to base 14.\nAnswer: 104145c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 452.3666 years in decades?\nAnswer: 45.23666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*x - 8*x + 1 - x**3 + x**2 to the form o*x**3 + q + h*x**2 + a*x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 0, 0.4, -2, -1.16, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-3)*v*v**5\/v)**25)**43 assuming v is positive.\nAnswer: v**2150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 68*u + 1156. Let y be o(7). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19161 - 19352. Is -29 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (((-14448)\/(-40))\/7)\/((-3)\/10). Let g = w + 496. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*v + 1292563 = -596025. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-78)\/(442\/(-17)))\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of -575*x**4\/4 + 1730*x**3\/3 - 10*x**2 + 5*x + 16. Factor u(l).\nAnswer: -5*(l - 2)*(345*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*i - 68 = 207 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, -4, 145511, 1, -41 in descending order.\nAnswer: 145511, 2, 1, -4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 + 45*8\/96)\/(12\/16)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/((s*s\/s**(-4))\/s))\/s**0)\/(s**(-3\/5)*s*s\/s**(-1\/8)))\/(((s\/(s*s**(-6\/5)))\/(((s**(-3)\/s)\/s)\/s*s))\/(s**(3\/4)\/s**(-3))) assuming s is positive.\nAnswer: s**(-319\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.00358*-0.6528\nAnswer: 0.002337024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 1:47 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 1 = 4*t - 13, -t = -2*k + 3. Suppose 38 = k*q - 4. Calculate the highest common divisor of q and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f - 30 = 5*y, f = -0*y + 4*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 1 = 0, y + 4*g - 153 - 222 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 836 = 4*n + 116. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3870392*c**2*s + 3078092*c*s wrt c.\nAnswer: -7740784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/71 + -116\/923. Which is the nearest to 0.02? (a) -11 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.12 > -13.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 60*x - 241. Let u be h(4). Let g be ((-4)\/(-8))\/((-1)\/(-10)). Sort 15, u, g in ascending order.\nAnswer: u, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-3 + (2*(sqrt(44) - sqrt(11)) - sqrt(11)) + -3 + 4 + -1)*-6.\nAnswer: -12*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {h: 7, e: 3, o: 1, l: 1}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(11)*5 + 4 - sqrt(33)\/(-2*sqrt(33)\/sqrt(11)).\nAnswer: -39*sqrt(11)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of 8*z**3\/3 - z**2 - 7*z + 3. Let c(q) = 4*q**2 - q - 4. Let l(i) = -7*c(i) + 4*g(i). Factor l(f).\nAnswer: f*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z, -2*c - 113 - 33 = 5*z. Let b = -42 - c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kcbc when four letters picked without replacement from bkrrckrrrrckrrkrrbr.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, 2, 9, 30, 71, 138?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-14 - -1) + (-3712)\/(-261) + 4\/(-18). Are 1\/523 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.13, -3\/5, 1\/745, 33\/2, 14?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -8\/7, 42\/71, -2?\nAnswer: 42\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*i - 16 = 2*i. Let r(c) = -c + 1. Let a(t) = t**2 + 4*t - 5. Calculate i*a(q) + 3*r(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the third derivative of -5*i**8\/336 + i**7\/21 + 3*i**6\/4 + 8*i**5\/3 + 115*i**4\/24 + 5*i**3 - 61*i**2. Factor x(r).\nAnswer: -5*(r - 6)*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18884.93146 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 564\/11 + -10573\/209. Find the common denominator of f and (-665)\/25 + ((-168)\/(-35))\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -2120*p. Let l(d) = -239*d**2 + 3*d. Determine l(v(t)).\nAnswer: -1074161600*t**2 - 6360*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve a = 4*i - 8, 372 - 320 = -4*i - 4*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 7 + 10 + -1 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-92*z + 34*z + 32*z)*(0 - 5 + 4)*(6 - 4 - 1)*(-2*z**2 - 3*z**2 + 2*z**2) to y + g*z + v*z**3 + t*z**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n + 1. Let i be o(-4). Let r be (3\/i)\/((-5)\/(-25)). Solve 0 = -4*m + r*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.7 (b) 2\/3 (c) 10 (d) -2 (e) -9 (f) 566 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 35296 and 400389.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25966268.\nAnswer: 2, 419, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Is 4331027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j**(-1\/4)\/j)*j**(-6))\/(j**(2\/5))**(-48) assuming j is positive.\nAnswer: j**(309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.31 - -0.01. Let m = 2248\/3 + -749. Which is the closest to 1? (a) p (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minutes before 10:24 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 1:32 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 64*d - 5110. What is f(81)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(1\/(4*(-4)\/(-32)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -92, -586, -1488, -2810, -4564, -6762, -9416?\nAnswer: -12538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*2*sqrt(152))\/sqrt(8).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -491 bigger than -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*z + 16*z - 504 = -26*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 - -15. Is (s\/(-2))\/(2\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 8*a**2 + 21*a**2 + 19*a**2 - 65*a**2 + 7*a + 28 + 3*a**3 + 2*a**4 + 16*a**2 in the form g*a**3 + y*a + h + z*a**2 + f*a**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -ae + 61ce?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2 = -1, -5*k - 2*u = -673. Let z(j) = 9*j - 3. Let x be z(2). What is the greatest common factor of k and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -80207829 - -0.0872.\nAnswer: -80207828.9128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mgggeggyggyymggg. What is prob of sequence geg?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.154 + -0.02.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 624660 and 99180.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4308050573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-12)*(-56)\/(-70)*(-396)\/(-8)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the first derivative of u**2 + 2*u + 1. Suppose -29 = -3*k + 6*k + 5*d, 2*d + 11 = -k. Give g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(19))*1 - ((-1*sqrt(190))\/sqrt(10) + sqrt(19)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -125.9 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/30*310\/217. Which is the nearest to -0.1? (a) h (b) 1.3 (c) 2\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111000000 + 1010?\nAnswer: 111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 + 25\/35)\/(3\/(-21)). Suppose a*n + 243 = 5*h, n + 110 = 2*h + 12. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 - 5.613303045?\nAnswer: -5.213303045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.8 + -6.2. Let m = -8 - i. Which is the third smallest value? (a) -4 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 490726 is divided by 163571.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 302769\/274 - 1105. Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(504) + sqrt(504) + sqrt(504)*-2 + sqrt(504) + sqrt(504) + -2*sqrt(1400))\/((2*sqrt(2000))\/sqrt(10)))**2.\nAnswer: 252\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(3*-2*sqrt(2448)*-6 + 3)*6.\nAnswer: 90 + 12960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12602 - -12896. What is the highest common divisor of 114 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1517340 and -219.\nAnswer: 332297460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 5 = o, 11*g = 14*g + 5*o - 25. Solve g = -8*j + 3*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**2 + 4*c - 12. Let j(i) = i**2 + 7*i + 16. Let z be j(-5). Let w be p(z). Which is smaller: w or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -79, -179, -319, -499?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -42, -78, -94, -78, -18, 98, 282?\n\"Answer: 2*y**3 - 2*y**2 - 44*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0 and -0.0579811244?\nAnswer: 0.0579811244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 - 19*y + 10. Let v be d(18). Let w(b) = 6*b**2 + 13*b + 10. Let h(s) = 7*s**2 + 14*s + 11. Let a(l) = -5*h(l) + 6*w(l). Determine a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*l + 60*l - 39689. Calculate the greatest common divisor of l and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 8 - a3a39?\nAnswer: -a3a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 4*p - 25. Let i be j(7). Suppose -4*o = -i*x - 4, -4*o - 2 = 4*x - 6. Suppose 0*f - o = f, -f + 59 = 4*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - 51*w**2 + 176*w + 3698. Determine v(-53).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the second derivative of j**2\/2 - 2*j. Let p(v) be the first derivative of 3*v**2\/2 - 2*v - 139. Give -4*a(z) - 2*p(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1150 and 3875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -12.72. Let s = 197.14 - 197. Let o = h - s. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25 and 37195100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 29014?\nAnswer: 87042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -14\/437765 and 42\/5?\nAnswer: 437765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-8) + (1268\/(-15216))\/(1\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 5426680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93061850.\nAnswer: 2, 5, 7, 265891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -2*s**3 - 4*s**2 + 3*s. Let d be c(2). Let f = -22 - d. Calculate the lowest common multiple of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 5\/2, -2\/3, -0.5, -0.11 in decreasing order.\nAnswer: 5\/2, -0.1, -0.11, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3579*z - 3572*z - 16044. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1351*v**2*x**2 - 49131*v**2*x + 26*x**3 - 722*x**2 - 864*x wrt x.\nAnswer: -2702*v**2 + 156*x - 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 3) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -x - 5*f - 50, x + 135 = -x + 12*f + 32*f + 521 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(180) + sqrt(25)\/sqrt(20) - (-6*sqrt(245)*2 + 0))**2.\nAnswer: 163805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*i = 20*i + 156. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1794\/(-48) - (19 + 7 + -45))*8\/(-14)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 2*y**2 - 3*y - 7. Let w be c(3). Let k(x) = x + 13. Let o(i) = 2*i + 26. Let r(q) = w*o(q) - 5*k(q). Give r(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -703\nAnswer: 2\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(168)*-1 - sqrt(168))\/(2*sqrt(4)*-1))\/((sqrt(486)*-1 - sqrt(486))*6 - -5*(sqrt(486)*-2 - sqrt(486) - sqrt(486))).\nAnswer: sqrt(7)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -12001*c - 5. Let o be i(-5). Round o to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + q = -106. Let o = -47 - q. Which is greater: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 818*o - 811*o - 1 + 8.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - 7*r - 4. Let m be l(8). Suppose 5*n - 5*a - 35 = 0, 2*a + 6 + m = n. Let j = n + -4. Solve -5*t - 5*q = 40, j = -5*t + 2*q - q - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*y - 4*g + 7 - 31, -2*y + g = -10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) 3 (d) -0.223 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-4)\/(-4))*-1*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is u in 5*u**4 - 1230*u**3 + 30055*u**2 + 5996970*u = 0?\nAnswer: -54, 0, 133, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (7 + (-2 - 18 - -10 - 7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**2 - 4242172*q + 4242172*q. Let v(n) = 9446*n. What is v(t(u))?\nAnswer: 9446*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 19730820 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + 2 + (-23 - -17 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 34\/5 of a day in minutes?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 7*w - 4. Let a be t(6). Suppose -4*l = -2*m + 74, 0 = -l - 13*m + 8*m + 9. Let i = a + l. Calculate the highest common factor of 88 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x**3 - 22805*x**2 + 91160*x - 91140 = 0 for x.\nAnswer: 2, 4557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/((b*(b*b**0)\/b*b)\/b)*b\/(b\/b**(-2\/3)*b))\/(b**0\/b*(b*b\/b**(-2))\/b) assuming b is positive.\nAnswer: b**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from teyteteeetettteeeeey. What is prob of sequence tett?\nAnswer: 77\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 324598230, 324598232, 324598234?\nAnswer: 324598236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 463? (a) 0 (b) -2 (c) 5 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m**(1\/5))\/(m*m**(2\/11)))\/(m\/(m\/(m\/m**(-1)*m)))**(-4\/13))**3 assuming m is positive.\nAnswer: m**(2019\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}