diff --git "a/data/dm_maths/full_data/11060_11255.jsonl" "b/data/dm_maths/full_data/11060_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11060_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(k) = k**3 + 7*k**2 - 18*k + 2. Let d be j(-8). Let i = 105 - d. Differentiate i + 3*l**3 + 9*l**3 + 1 + 0 wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.897 + 0.103. Are l and 7\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-12))\/(2\/(-12)). Suppose -5*l + 21 = -2*w, 3*w - 8 + 22 = 4*l. Determine s so that -6 + 4 + 5*s**2 - t*s - 3*s**w + 2*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -70. Calculate the greatest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.34 - -1.34. Which is smaller: f or -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869\/267 + 10\/((-2)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 1, z: 3, d: 2, g: 3}. Give prob of sequence gzdz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6723156 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -26. Let q(i) = -i + 3. Let x be q(c). Solve -3 - x = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2526870778?\nAnswer: 2, 103, 12266363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 1. Let z = -297\/437 + 12\/23. Let q = z - -31\/76. What is the third biggest value in q, -5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -10 - (-12 - 4)) + -2 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from muuuwuuuu.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -510.30232 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186701560*o**2 - 33*o - 100161 wrt o.\nAnswer: -373403120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6656, -6772, -6888, -7004?\n\"Answer: -116*x - 6540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 2*v**2 + 2*v)*(44 + 37*v - 44) to the form p*v**3 + u*v + n*v**2 + f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 0*k**4 + k**4 + (-14*k**4 + 7*k**4 + 22*k**4)*(-2 + 0 + 6) - 14*k**2 - 2*k**4 + 14*k**2.\nAnswer: 56*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + 115. Let r = -96 + p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1604720 and 6680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q + 3 = 3*m, 4*q - 5*m = -13. What is a in -9*a**5 - 7*a**q - 3 - 8*a**4 + 3 + 25*a**5 - a**2 = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 26*y + 8*y**2 + 4*y**2 - 19*y**2 - 26*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 19773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.6 + -1.6. Let v = 0.21 + -0.31. Let k = -2 + 1. What is the nearest to v in k, 2, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 109*i. Let z(s) = -9*s. Suppose -2*o + 8*o + 48 = 0. Let x(v) = -3*v. Let y(l) = o*x(l) + 3*z(l). Determine y(d(w)).\nAnswer: -327*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.4. Let r = 88.6 + -89. Let n = -3\/71 + 187\/1065. Which is the closest to k? (a) 4 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(2)*3)\/(sqrt(288)*1) - (sqrt(209) + (sqrt(209) + (2*sqrt(209)*-1 - sqrt(209)) - sqrt(209)))\/(sqrt(396)*2).\nAnswer: 5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(450)*-3*-1)\/((sqrt(441) - -1*sqrt(441)) + sqrt(441) + -3*sqrt(144)))**2.\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhgghhqhhqzhzhqz. Give prob of sequence qzgz.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 705214622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/10)\/(4\/(-30)). Let f(i) = i**3 - 5*i**2 + 5*i - 2. Let n be f(4). Suppose r + 9 = -n*r. Which is the third biggest value? (a) r (b) v (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69141, -67143, -65153, -63171, -61197, -59231?\nAnswer: -57273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 25. Suppose -10 = 2*z, p + g = -5*z - 10. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1453782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*m + 26 = 2*m - 12, 147*m = -y + 308 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/18)\/((-1)\/6) - 4. Suppose -2*r - 4*u - 4 = 0, 3*r = s*r + 3*u + 1. Solve 5*i + y = r*i + 4, 2*i - y + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36501 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l + 6. Let t(n) = -4*n - 5. Let q = 65 + -59. What is q*o(b) + 7*t(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-28) + -2 - (-38)\/8. Solve -a = -0*a + m*j + 9, 2*a + 2*j = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3962507.9867 + -3962316. Let k = 194.54 + -2.54. Let v = y - k. Round v to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133873 equal to -5890461\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -520 and 5?\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*c - 7439 = -4862 + 10975 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (sqrt(363) + 0 - sqrt(6)\/((sqrt(2)*-2 - sqrt(2)) + sqrt(2)) - sqrt(27)\/(-1*(sqrt(9) - sqrt(9)*-2))))**2.\nAnswer: -497*sqrt(3)\/3 + 5629\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1647067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-4 - -3) + 1. Suppose -4*k + 2*y + 10 = -2*k, 4*k - 17 = 3*y. Suppose -5*g = -z*w - 548, 0*w + k*w - 424 = -4*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189 = -32*o - 9*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38855*z - 12956*z - 12956*z - 12946*z - 16.\nAnswer: -3*z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - j**2 - j + 12258. Let x be w(0). Let c = x + -269629\/22. What is the common denominator of c and (-8798)\/1484 - 60\/(-35)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 12:01 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34040 * -6\nAnswer: -204240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from biilb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -544800.371 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w**2 - w. Let n(c) = 381*c**3 - 5*c**2 - 10*c. Let k(q) = 6*d(q) - n(q). Let r be k(4). Round r to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 12. Let n be 7 - ((-2)\/(-1))\/(-1). Let i = n + -18. Is 5 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3911133095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 (base 9) in base 8?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/6 - h**3\/3 - 8*h**2. Let b(z) be the second derivative of -1\/2*z**2 + 0 + 1\/3*z**3 - z. What is -5*b(k) + 2*y(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.81 + -2.78. Let p = h - -0.67. Put -5, 0.4, p, -10 in ascending order.\nAnswer: -10, -5, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -3\/7 (c) -0.4 (d) -0.02971 (e) 23 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - -6)*508\/(-32)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 5)*22 - -5. Suppose 4*k = -2*g + 178, 10*k + 5*g - o = 6*k. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 7*j**2 + 24*j - 144.\nAnswer: (j - 3)*(j + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -49*q - 492. Give n(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/29801 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -13*f - 8. Let g be (-71)\/f + -5 + (-2)\/(-16). Let 29*b + g*b**2 - 2*b**2 + 8 - 37*b = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -218.\nAnswer: -3\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m*u*w**3 + 16961*m*w**3 + 15450*m*w**2 + m + 32*u*w**3 - 5*u*w**2 + 2*u - w**2 wrt w?\nAnswer: 18*m*u + 101766*m + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1326590 and 6254?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 9. Let v be r(11). Suppose -j - 4*j - h = -v, -2*j = 4*h + 10. Which is the smallest value? (a) 4 (b) 2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznndzz. Give prob of picking 4 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(-3 + (sqrt(76) - (sqrt(76) - 1*2*sqrt(76)) - sqrt(76))) + -5 + -4)**2.\nAnswer: -1944*sqrt(19) + 10395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*h**5\/5 + 20*h**4 - 96*h**3\/5 + 28*h**2\/5 + 2*h\/5.\nAnswer: -2*h*(h - 1)**3*(17*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10\/70 - 1*7158\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1035 and -3463.\nAnswer: -4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 11785956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59094.8 micrometers?\nAnswer: 0.0590948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*p + 4. Suppose 5*b = 4*c + 124, -2*b - 4*c + 42 + p = 0. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 2\/19, -0.1, -0.3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -4. Suppose 4*t + 9 = -w. Let r(x) = x**3 + 5*x**2 + 7*x + 5. Determine r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkaipkukliikullkikl. What is prob of picking 1 a and 1 l?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5\/7 (b) -2\/9 (c) 0.2 (d) -0.4 (e) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (2 - 17) - -1. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.1 (b) 1\/6 (c) 125\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2049 and 3.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457\/20 + -89\/4. What is the nearest to 0.2 in g, 0.12, -0.3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -11 (b) 319 (c) -4 (d) 0.1 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = -s + 2, 2*s + 3*o + 2 = 0. Let k = 28 + -9. Suppose s*y - 3*y = -k. Calculate the greatest common factor of 57 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 3 - p**2 + 12 + 9*p**4 + 4*p + 7*p**4 wrt p.\nAnswer: 192*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 926\/6715 - 8\/395. Sort -1\/2, 77, -5, c, 3 in decreasing order.\nAnswer: 77, 3, c, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03855312589 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8223 is divided by 2739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 10*p + 3. Let i be n(-7). Suppose 5*z = -0*z + i. Suppose 9 = 2*f + 3*k, -5*f + 2 = 3*k - z. Solve a = f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1668 is divided by 1649.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2)*d)**(-25))**(-45) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 620001301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4444\/45 - -987\/10. Is -0.0478 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26398*r**3 - 140198 with respect to r.\nAnswer: 79194*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 10*d - 28. Calculate g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -622671299288?\nAnswer: -622671299291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**20)**(-46)*c**20*c**9 assuming c is positive.\nAnswer: c**(-891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*w**2 - 231*w**2 - 265991*w + 265991*w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, 10, 111, 320, 673, 1206?\n\"Answer: 6*k**3 - 13*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15762179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -413 - -1387. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10580147 or 10580146?\nAnswer: 10580146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 2*p + 1. Let x = -615 + 609. Let c be (-8)\/76 - (-296)\/(-76) - x. Give i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 - 20?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1376)\/774)\/(5*(-3)\/(-45))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 83717 = -15*d + 83357 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1364308 + 0.\nAnswer: 1364308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*f**3*t**3 - 17*f**3*t - 44*f**2*t**3 - f**2*t**2 + f*t**2 - f*t wrt f.\nAnswer: 636*t**3 - 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u + 12000 = 147*u - u + 2*u for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -990*a**3*c - 10248*a*c**3 + 7*c**3 + 12798971*c**2 + 2 with respect to a.\nAnswer: -2970*a**2*c - 10248*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 27*d**4 - 72*d**3 + 60*d**2.\nAnswer: -3*d**2*(d - 5)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -2)*(-1)\/2. Let x be (0 - 1)\/((2\/(-4))\/1). Suppose l = 2*t - x - 8. What is the remainder when 7 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 + 8 - 7) - (0 + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -32*l. Let z(t) = t**3 - 7*t**2 - 5. Let g be z(7). Let w be f(g). What is the greatest common factor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 29 + 34 = 0. Let m be 438\/9 + 6\/(-9) + d. What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0181488 to 5 decimal places.\nAnswer: 0.01815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 3*n + 4. Calculate k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 24945810*v + 31114671827805 = 0.\nAnswer: 2494581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 1600961.\nAnswer: -960576.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1283, -4.\nAnswer: -1283, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.335 + 9.342. Let h = -4 + i. What is h rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/12 + 5 - (-26)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*g - 7 = 0, -5 = -2*v - g + 4. Solve -4*b + v = -3, -5*j + 29 = 2*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 2:54 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 6*z + 1074. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 5, j: 8}. What is prob of sequence tj?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2 + 0 + 1. Let p(h) = -h - 3*h + 3*h + 2*h + 4. Let t be (2\/(-3))\/(4\/6). Calculate t*p(c) - 6*m(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-25)*5\/(-4)*10. Suppose -s*d - 9*d + 56 = 0. Find the third derivative of 150*m - 304*m + d*m**3 + 9*m**2 + 154*m wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + 6*f - 3*f + (-3 - 2*f + 3)*(5 - 5 + 1) - 2*f - 3*f + 3*f + (-f - 2*f + 2*f)*(-2 + 5 - 2) to l + g*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**17*t\/(t*t**(-5))*t assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 15273*t - 776294. Determine l(-51).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7059 and 48269985?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from iiux?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 12. Let j be (2\/6)\/(6\/126). Let o be q(j). Solve a + o = -f - 4, -20 = 5*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -362, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 - p + 1.\nAnswer: -p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14943*o - 7476*o - 7470*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2)**2*-6*4 - (sqrt(77) - (sqrt(77) + 6*2*sqrt(77)))\/(2*sqrt(99) - sqrt(11)).\nAnswer: -43008 + 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y - 3*y)*((0 + 4 - 3)*(0 - 5 + 3) + 332 + 188 + 260) - y - 2 + 2.\nAnswer: -2335*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 316272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/10*(-175)\/140.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 5*w + 21, 5*w = -i - 13. Let j be ((-2)\/8)\/(i\/(-16)). Suppose 0 = 4*t + 5*z - 17, 0 = -4*z + 4. Solve -s = -j + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 22. Let z(u) be the second derivative of 0 - 5\/2*u**2 + 1\/3*u**3 + 3*u. Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -124, -181?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.3. Let o = 23\/42 + -9\/14. What is the second smallest value in -0.1, o, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3741 and 1107?\nAnswer: 1380429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 18. Let f be d(-5). Suppose -4*a - 4*c - 15 = 77, -3*a = c + 59. Let z = 38 + a. Calculate the greatest common divisor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m - 1. Let z(x) = -17*x. Let v(j) = 4*y(j) + 5*z(j). List the prime factors of v(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23605 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a\/(a*(a*a\/(a\/(a*a**0)))\/a))\/a*a)\/a)**37)**(-7\/4))**(-1\/20) assuming a is positive.\nAnswer: a**(-259\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmxxjbmmbmexlejxxex. What is prob of sequence jjex?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {n: 4, p: 6, y: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8*c. Suppose 13*o - 11*o = c. Solve -2*i + 10 = -o*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203\/(-58)*(-108)\/(-19845).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, r: 3}. What is prob of sequence kf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2267\/6 - 377. Let k = 2.7 + -3. Let h = -0.5 - k. Which is the closest to 1? (a) h (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 - 5*x - 6. Let b be t(-4). Let y = 28 - b. Suppose 0 = -h - 4*j - 0*j + 55, 2*j - 10 = 0. What is the highest common factor of y and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -16*c**5\/3 - 280*c**4 + 527*c**3\/3 + 1836*c**2 + 2603*c\/3 + 106 = 0.\nAnswer: -53, -2, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 922284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 1654 - 1655 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-8))\/((-273048)\/45536 + 6). Let b = n - -407. Factor b*p**2 + 0 - 15\/7*p.\nAnswer: 3*p*(p - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/11 + 131\/110. Let w = 3.032154 + -1.032154. Let g = 10\/3 - 53\/15. What is the third smallest value in g, w, 0.9, b?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose 0 = -12*o + 27*o - 375. Suppose -o*a = -53 - 22. Solve -2*r + a*d + 2 = 0, l*d - d - 29 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11553135 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 6*f - 41*f + (1 + 1 + 0)*(-2*f - f + f) + (-4 + 4 + 2)*(10 + 6 - 10)*(-2 + 2 - f) as v + t*f and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 0.04, -1, 0, 538, -0.05, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -65*s + 1357. Let d be c(21). Sort -3, -11, d, 2 in descending order.\nAnswer: 2, -3, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -134 + 43. Let q be (1\/3)\/(14\/966). Suppose -3*n + 62 = q. What is the greatest common divisor of j and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*x**3 + 2166*x**3 + 165*x**3 - 595*x**3.\nAnswer: 2669*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 7*m + 2. Calculate n(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -121011012121011111?\nAnswer: 121011012121011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(567)*1 + -3 - (sqrt(567) + sqrt(63) + -1 - sqrt(9072)*-2).\nAnswer: -120*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knoo. Give prob of picking 1 n and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-4 + 0\/6). Suppose -3*d - 2*v = 4, y*d + 2 + 13 = -5*v. Solve -5 = -d*j - 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2069*t - 2073*t = 24, 80 = -10*p - 24*t for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12334 and 109244.\nAnswer: 764708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37283265, -37283269, -37283273?\nAnswer: -37283277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1458 and 882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*35.267.\nAnswer: 67.0073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 - 52*l - 15. Let k be q(-5). Calculate the greatest common divisor of k and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43300, -43272, -43244, -43216, -43188, -43160?\nAnswer: -43132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = -6. Let k be -3*(1 - 3) + q. What is the greatest common factor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14482, -28967, -43456, -57949?\nAnswer: -72446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 = 2*d - d. Let o = 841 + d. Let g = o - -305. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23632 - -23725. Solve -4*i = g - 3, 2*g - 75 = 4*i - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*i - 6, -4*i + 2 + 4 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 + 18*x**2 + 16*x**2 - 10*x**2 - 10*x**2 - 8*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.032 + -1.022. Which is the third smallest value? (a) 0.03 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -26*z**2 - 59*z - 5. Let n(h) = -96*h**2 - 207*h - 18. Give -5*n(c) + 18*p(c).\nAnswer: 12*c**2 - 27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/1434 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 20*z**2 + 17*z - 32. Let r(c) = -13*c + 39. Let o be r(7). Let g = o + 33. List the prime factors of u(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 + 449. What is v in 22*v + 1 + z*v + 26 - 53*v + 3*v**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 8*a - 10. Suppose -3*o + 110*b + 22 = 115*b, 22 = 4*o + 3*b. What is k(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 5*m**2 - 3*m**2)*(4*m**2 - 4*m**2 + 7*m**2 - 1).\nAnswer: -7*m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*s**2 - 4*s**3 + 153*s**2)*(8 + 2 - 5 + 1).\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61*(-147)\/(-26901)*(-10*5)\/(2\/(-6))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-3 - 15\/(-4)). Let i be (9\/z)\/((-3)\/4). Let c = -4 - -6. Solve -k + 8 = -c*x + 3, -4*k = -i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 1)*3008\/96. Let k = m + 110. Solve 0 = -3*h - k + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -56. Sort -3, x, 4.\nAnswer: x, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 483 + -19?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 - 359. Suppose -231*m + 116 = -227*m. What is the remainder when -2 - (c - 3\/(-3)) is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11025*-0.3.\nAnswer: 3307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*a = 5*p - 13, 2*p = -a + 2. Let t = 18 - p. Differentiate 3*m**3 - 14 - 6 - 1 + t*m**3 wrt m.\nAnswer: 66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:18 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, 3, 2165, 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(0 + -1 + 2). Let w = -26\/57 - 4\/19. What is the second smallest value in -0.2, w, 1\/4, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*l - 115 + 153, 4*b + 4*l = 36 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 21676*m + 86743. Calculate i(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 45*j**2 + 36*j - 2. Let c(b) = -b**2 + 27*b + 123. Let m be c(31). Calculate w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483134211.\nAnswer: 3, 7, 107, 71671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.4 - 5.1. What is the nearest to 0 in 0.4, 4\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 205, 206?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 + 4. Let o be a(-5). Suppose 4*g = 3*g + 4*d + 159988, o*d - 320012 = -2*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48351 (base 12) to base 16\nAnswer: -17bed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26591 is divided by 26590.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -31, -5, 5 in increasing order.\nAnswer: -31, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0523 (b) -1.3 (c) -2\/13 (d) -1\/7 (e) -4\/7 (f) -223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20d (base 15) to base 4\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 63 = -s. Suppose -2*k + 72 = k. Calculate the remainder when s is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 1340 + 163. Let u = h - -63. Let m = -40 - u. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h**4 + 51 + 1119389*h**3 - 1119389*h**3 + (25*h - 25*h + 3*h**2)*(-1 + 1 + 2*h**2) as z*h + d*h**3 + n*h**4 + r*h**2 + m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**2\/7 + 6*s\/7 + 2\/7.\nAnswer: -2*(s - 1)*(4*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3 - 2, -9*z - 4*i = 7*z + 2 + 18 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, -2, 30\/17, 14, -0.4 in decreasing order.\nAnswer: 14, 30\/17, -0.2, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 321924 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -688 - -975. Suppose -4*v + 4975 = d. Suppose 5*i - i = v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -50030943.\nAnswer: -50030942.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/(-49) + (-26)\/(-1)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let h be (-2)\/(-4)*(x + 5). Suppose -3*b + k = -29, -h*b + 3*k + 28 - 1 = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 0 + 9\/(-4) and 99\/(-18) + 4\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((35834\/(-451))\/(-23))\/(8\/(-22))\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151137 and 1695.\nAnswer: 85392405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -57. Suppose 0 - k = -r. What is the second derivative of r*v - 19*v**4 - 30*v + v**4 wrt v?\nAnswer: -216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*h + 20. Suppose -n + 31 = 3*o - 47, 2*o - h*n - 69 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sffs when four letters picked without replacement from {k: 1, f: 4, s: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-27)*k)\/(k*k**(4\/15)*k)*(k\/((k*k**(-30))\/k))**11 assuming k is positive.\nAnswer: k**(4691\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 32. List the prime factors of z.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/75 + -218\/1275. Let r = 99 + -99.7. Which is the third biggest value? (a) r (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -0.3 (c) 6\/271 (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 167*s**2. Let h(m) = -m. Calculate k(h(y)).\nAnswer: 167*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 + 17 - 5)*(0*h + 2*h - h).\nAnswer: 2*h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/4018 or 0?\nAnswer: -17\/4018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6106 is divided by 283?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5353578 to the power of 1\/2, to the nearest integer?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 3*d**2 + 80*d - 76. Let s be l(7). What is the third biggest value in -0.28, s, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t - 2. Let u be -2500*(t - (-4 - 27)). What is u rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((7732\/(-5))\/1)\/((-548)\/4110)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d. Let w = -6 + 7. Calculate the remainder when 23 is divided by s(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6556 - 78 + 4 = -221*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) 38\/7 (c) 3\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 24846*l + 51443643 = 0. Calculate l.\nAnswer: 4141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 1931332?\nAnswer: 17381988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 22. Let m(r) = r**2 + 13. Calculate l(m(u)).\nAnswer: u**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615431.3 minutes in hours?\nAnswer: 26923.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbd when four letters picked without replacement from {s: 8, d: 1, b: 8}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/30*52\/32*10*-2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -67. Let a be n\/10 - (-56)\/70. Let f = a + 7. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668711767?\nAnswer: 37, 18073291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -53*p + 4*p - 882 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803, -1606, -2407, -3206?\nAnswer: -4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 75, 107, 139, 171?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.138, 11, 5, -8 in ascending order.\nAnswer: -8, -0.138, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000125 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 6 = -14*s. Put 0, s, 4, -4 in ascending order.\nAnswer: -4, 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2157447*u**5 + u**4 + 233697*u.\nAnswer: -43148940*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 818170624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -939, -2469, -5455, -10383, -17739?\nAnswer: -28009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + 5 + sqrt(208) + -3.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 4*a**2 - 5*a - 111. Suppose w + 2*u = -2*u, -3 = 3*u. List the prime factors of i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4012*g**3*j - 6*g**3 + 3*g**2*j + g**2 + 3*g*j - 3*g - 1671*j wrt g?\nAnswer: -24072*g*j - 36*g + 6*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8133 (base 10) to base 9.\nAnswer: -12136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11183626 is divided by 1340.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13134*h**5 + h - 1656.\nAnswer: -262680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - 17*j = -205 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**3 + 0*w**2 - 3*w**4 - 6*w**2 - 2*w**3 wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:26 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - 3*4*sqrt(891) - sqrt(110)\/((sqrt(640) - (5*sqrt(640) - sqrt(640))) + sqrt(640) - sqrt(640)).\nAnswer: -2375*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + l. Let v(w) be the third derivative of w**6\/24 + w**4\/24 + 3*w**2. Let q(d) = 3*v(d) - 7*z(d). Factor q(c).\nAnswer: c*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 67.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -120, 5.\nAnswer: -120, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272)*4 + 2*(2 + sqrt(272)))**2.\nAnswer: 240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 60. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*c - 24, z + 2*z = 4*c + 7. Suppose -k = 2*k - 3*d, -z*k - 2*d = -7. Let y(r) = -r - r**2 + 6*r - r - k - 2. Give y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-476)*68\/(-48)*-8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 52, 171, 396, 763?\n\"Answer: 6*c**3 - c**2 + 10*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + 56 + -70 + -70.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683494418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 5. Let t = b - 133. Let i = t + 260. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(6*(-2)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*k = -2*s + 15, 2*k = -3*s - 6. Suppose 2*y + 3*i = -82, -y + 2*y - 2*i + 41 = s. Let x = 80 - y. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:10 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242988*f**3*w + 6*f**3 - f**2*w - 11*f**2 + 21*f*w + 31312*w - 8 wrt f?\nAnswer: -1457928*f*w + 36*f - 2*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 76*p**3\/3 - 81. Let d(m) = 2*m. Give d(b(t)).\nAnswer: 152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -494\/3 + 5147\/12. Let y = 9545\/36 - f. Suppose 0 + 8\/9*r**2 - 8\/9*r**4 - 2\/9*r**5 + y*r - 2\/3*r**3 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1122?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:18 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154771521?\nAnswer: 3, 29, 1778983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*b = -126. Factor -19*g**2 + 0*g + 6*g**3 + b*g**2 + 4*g**4 + 0*g.\nAnswer: 2*g**2*(g + 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 10*h - 13. Let g be 55\/(-6) + 8\/48. Let n be v(g). What is the tens digit of (-9)\/(n\/(20 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*r + 96. Let o(z) = z**3 + 7*z**2 - 7*z + 12. Let d = -12 - -4. Let h be o(d). Solve r = h*l - 0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3239 - 2125. Calculate the remainder when w is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/105*18067\/(-174) + -6)*(-10)\/(-32)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 5*m**2 + 6*m - 11*m + 292 - 6*m**2. Let s be j(0). Suppose -32 + s = 4*l + 4*u, -5*l = 3*u - 319. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-1)\/(4\/(-3))). Suppose 2*t = -2*b + 12, 0 = -2*t - 2*b + 7*b + 47. Let x(h) = 8 + 6 + 0*h - t + h. Determine x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let i(m) = -2142*m - 55. Let s(w) = -5. Let u(h) = 2*i(h) - 22*s(h). Give z(u(g)).\nAnswer: -18352656*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + h - 2. Let p(a) = -2*a**2 - a + 3. Suppose 0 = -g + u + 1, 20 = 4*g + 5*u - 2. Calculate g*p(l) + 4*j(l).\nAnswer: 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 5. Let o(z) = -z**2 + 21*z - 19. Let m be o(20). Suppose h - 8 = -h. Let y(l) = h + 1 + 0 - 4 - l. Give m*c(d) - 3*y(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + 5*sqrt(833)*1 + 5)*4.\nAnswer: -140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27298374 and 234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057 divided by 448?\nAnswer: -2057\/448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10016.9 + -9994. What is the smallest value in 5\/4, 2\/9, 3, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6)*27\/36. Suppose 4*z - 82 = p*k, -2*z + 63 = k + 24. Solve -5*x = -3*x + 4*b + 20, -5*x + z = -4*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = -474 - 6816. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -8, -1, -12, -359, 11, 2 in ascending order.\nAnswer: -359, -12, -8, -1, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 - 3040870.35154?\nAnswer: -3041380.35154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(648)\/sqrt(9) + sqrt(2) - (sqrt(72) - (sqrt(72)*3 + sqrt(72))).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let r be -1 + w - (-30)\/(-10). Let f = 65 - 69. Is r bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00271798 to six dps.\nAnswer: -0.002718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180438.\nAnswer: 2, 7, 84317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 1052, -4 in descending order.\nAnswer: 1052, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039712305 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*x + 148 = 3*m, m - 5*x = 81. Let o = 74 - m. Solve -2*c - 5*y = -c - 17, -o = -3*c - 3*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20558636 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90446, -90437, -90428, -90419?\n\"Answer: 9*w - 90455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 8. Let z be b(4). Suppose z = -v + 5. Suppose v*u - 327 = 2*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111100 (base 2) to base 5.\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + 2 - (-9 - -5). Let g(w) = 8*w + 46. Let j be g(z). What is the units digit of (-1 - j) + 12*5\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*u - 35, -d - 2*d = -4*u - 13. Suppose 5*q = -3*s + 5*s + 13, 20 = 4*q. Calculate the remainder when d is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.5. Let r = w - -0.1. Let j = 0.2 + -0.1. Is r >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 92051 - 92083 + 6*q - q**4 - 3*q**3 as g*q + y + l*q**2 + w*q**3 + o*q**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + 0)**2 + sqrt(95)\/(sqrt(15)\/sqrt(3)).\nAnswer: sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -69 + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-8)\/((-96)\/(-9))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 - q. Let t(i) be the second derivative of -3*i**5\/10 + 5*i**4\/12 - 5*i**3\/6 - i**2 - i - 20. Give -t(m) + 5*z(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/11, -0.5, 3\/29 in descending order.\nAnswer: 2\/11, 3\/29, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/187 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166356 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2760139.\nAnswer: 5\/2760139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 1. Let d be -1*2 - -79 - l. Suppose 4*u - j = d, 3*u - 10 = -2*j + 36. Calculate the highest common divisor of u and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q - 20, 0 = 3*d + 5*q - 101. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63\/5 + 13. Suppose -4*u + 15 = u. Suppose z + u*o = 2*o - 3, 2*o + 8 = 0. Is r at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(125) + -3 - (5*2*sqrt(125) - sqrt(125)))**2 + -3.\nAnswer: 180*sqrt(5) + 4506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -46697 and 0.35.\nAnswer: -46696.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/308 + (-4278)\/(-1705) + 2436\/(-35).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -536*f**2 + 8*f. Let m(k) = k**2 + 4*k. Let t(d) = -i(d) + 2*m(d). Let a(b) = 2*b**2. Give a(t(c)).\nAnswer: 578888*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) -35\/6 (c) -0.3 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 106, 403, 890, 1567?\n\"Answer: 95*d**2 + 12*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**(1\/2)*m)\/m)*m)\/m)\/(((m*m**(2\/9))\/m*m)\/m))\/((m*(m\/(m\/(m\/(m*m**(2\/23))*m)))\/m*m)\/((m*m\/(m**7*m))\/m)) assuming m is positive.\nAnswer: m**(-3575\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o + 2 - 2 - 5*o - 2 + 2 + (-7*o + 7*o + 2*o)*(0 + 3 - 2) + (-1 + 0 + 2)*(-2*o + 0*o + o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470208 and 2727?\nAnswer: 427419072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 6, -3, 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/301 or 0?\nAnswer: 3\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1757\/15 + 117. Let u = -6827.04 - -6827. What is the smallest value in -3, x, -0.3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*p + 7 = 0, 4 + 1 = t - 3*p. Solve 8 = -6*d + t*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -65. Suppose 3*z = 21 + 9. Calculate the remainder when j is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5122.115ng?\nAnswer: 5.122115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 6.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - b + 229 = -0*u, -3*u + 170 = -b. Solve u*z + 612 = -11*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 + -9.4. Let a = 746 - 745.5. What is the second smallest value in 5, -1\/7, x, a?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 682408?\nAnswer: 682403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 90. Let t = c - 38. Factor 2*f**t + 2*f**2 + 291 - 291 - f**3.\nAnswer: f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c - 6. Let w = 5 + -1. Let o(u) = -u - 1. Let h = 55 - 56. Determine h*v(i) + w*o(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 23. Let o(h) = 2*h - 15. Let w be o(14). Let t = w - v. Solve 3*f - 1 - t = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*w - 508*w - 3*t - 57 = 0, -2*w = 5*t + 68 + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4575 and 495150.\nAnswer: 30204150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 205. What are the prime factors of (5\/(5\/18))\/(15\/a)?\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 w, 1 d, and 1 o when three letters picked without replacement from {d: 1, o: 3, k: 1, w: 7}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 82*y - 787. Let j be l(-11). Which is smaller: 131 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 31*t - 16. Let j be r(15). Let b be ((-4)\/(-12) + j)\/((-4)\/126). Suppose -1 = 20*x - b*x. Which is smaller: 1\/5 or x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l + 155 - 155 as j + d*l and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*d - 20, 3*j - 3*d = 2*d - 40. Suppose 0*r + 11 = 3*h - 2*r, 4*h + 4*r - 28 = 0. Put j, -1, h in ascending order.\nAnswer: j, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -98. Let s = 17 + -17. What is the nearest to s in -2\/9, 1\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {q: 2, n: 7, d: 1, k: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136646471 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736)*-2*-6)**2 + 2*(sqrt(171)\/sqrt(144) + sqrt(342)\/sqrt(2))**2.\nAnswer: 12610699\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqnq when four letters picked without replacement from {q: 9, n: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 1558, 5268, 12500, 24430?\nAnswer: 42234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from yysyxiyj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86.96 and -866538.\nAnswer: -866451.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2843699 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 1.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 + 44 = 4*d, -3*d = 2*b - 18. Calculate the highest common factor of b and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-8 - 2) - (12 + (-3 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -601*w - 39. Give p(-1).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685051.\nAnswer: 685051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 56 = 5*h + p, -h - 3*p - 4 = 0. Let j be (6\/10)\/((-2)\/h). Find the third derivative of 6*k**4 - 2*k**4 - k**4 + j*k**2 wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 - 5*u + 5. What is the remainder when 2\/(-4) + 74\/4 is divided by t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80852355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 - -2 - 0)) + (-3779 - -3749).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*b + 5*w, -19*b - 24 = -15*b - w. Let p be -1*(-14 + 1\/1). Let i = p + b. Are i and 8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656 is divided by 1204.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o**2 + 2*o + (13*o + 14*o + 0*o)*(7*o - 7*o + 5*o))*(-3 + 3 + 3)*(3*o + 0*o - 4*o).\nAnswer: -408*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 7731658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t + 19. Let g be s(14). What are the prime factors of 2\/(-13) - g\/143?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 52*o**2 - 419*o + 22. Let g be r(42). Solve 6 = -29*c + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26790354.\nAnswer: 2, 3, 23, 163, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 218*z**2 - 897*z + 1707. Determine p(222).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/24 + 2*j**3\/3 + 6*j**2 + 6*j - 2. Let q(i) be the first derivative of t(i). Give q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 - 24 = 0. Suppose -136 = -2*j + 4*i, -u*i + 104 = 2*j - 2. Calculate the remainder when 112 is divided by j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 - 4*i - 4. What is the remainder when d(-6) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 70*v + 2619. Is z(70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2 + 3*r. Let a(b) = -4*b**3 - 6*b**2 + 16*b. What is 2*a(p) - 11*m(p)?\nAnswer: 3*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - 4*t - 6*t)*(-3 + 5 - 4)*(-2*t + 3*t - 5*t) + (0*t + 3*t + 0*t)*(-t - 6 + 6)*(4 + 0 - 1) to j*t + m + c*t**2 and give c.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.14 (b) -3 (c) 1 (d) -480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/1*(-4)\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 13, y: 5}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-152)\/(-2330))\/((-8)\/(-20)). Let b = h + -20651\/2330. Find the common denominator of -115\/14 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-77) + 29\/(-33). Let d = 7 + -8. Let j = -3 - d. Which is the third biggest value? (a) j (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - t - 1 = -5*p, 0 = 4*p - 5*t + 17. Suppose 2*z = -p*x + 34, z - 3*z - 3*x = -37. Let j = 84 - z. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 - 1)*(-2 - 2 + 3) + (1 + 0 + 1)*(-1 - 4 + 3) + 2 - 48 + 6 + (1 - 4 + 1)*(-2 + 1 - 1) + 3 + 0 - 1)*(-2 - 1 + 1)*(-w + 1 - 1).\nAnswer: -68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 69591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -2 - (-710 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8383, 16765, 25147?\n\"Answer: 8382*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 2*f)*(-2 - 3 + 4) + 21*f + 65 - 65 + 3*f - 2*f + 2*f.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/9)\/d**(-3))\/(d*(d*d**1)\/d*d*d*(d**(5\/2)*d)\/d*d) assuming d is positive.\nAnswer: d**(-73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38199, -76366, -114513, -152634, -190723, -228774, -266781?\nAnswer: -304738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by 155660.\nAnswer: -37\/31132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 + 0*v**2)*(4*v + 5 - 5) - v**3 + 2*v**2 - 2*v**2 - 68*v**3 + 17*v**3 + 28*v**3 + (v**2 - 3*v**2 + v**2)*(0*v + 0*v - 2*v).\nAnswer: -26*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*h + 18808 = -203*h - 10298 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171345099 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 31277 in descending order.\nAnswer: 31277, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 - 1510*q**3 - 49905*q**2 - 545400*q - 1795500 = 0. Calculate q.\nAnswer: -266, -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/12 + -5 + -3 + 21\/(-42)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -97.803 and -1.19.\nAnswer: -98.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*(3 + (-14)\/4). Suppose -25 = -u*j + 25. What is the least common multiple of 7 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v**3 + v**2 + 2*v - 2. Let t be c(1). Is 10 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 26088.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 14*c**2 + 13*c + 21. Suppose 31 = 10*q - 119. Determine l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 18. Suppose -3*z - z + n = 0. Let c(y) = 15*y**3 + y**2 - y + 1. Does 3 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4402112 + -4?\nAnswer: -4402120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5113911?\nAnswer: 3, 11, 353, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/53040 and 71\/8060.\nAnswer: 1644240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.4 + -9. Let y be (-2)\/(-14)*2 - -2. Let m = 2 - y. Which is the nearest to -4? (a) s (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357160 is divided by 168365?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 - 6*y**4 + 6*y**4 - 5*y**5 + y**5 + 2*y**5 + (-2*y**2 + 2*y**2 + y**4)*(-5*y - 2*y + 5*y) - y**5 - 5*y**5 + 2*y**5.\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16856.96067 - -16857. Round h to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -1, -6, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i = -3*o - 62*i + 19, 0 = 4*o + i - 29 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103561685 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7922481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 1\/2*h**4 - h**2 - 2\/9*h**3 + 2\/3*h + 1. Determine w so that r(w) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77\/4 - 20. Let z be (-7)\/6 + -1 + 2. Which is the closest to y? (a) -0.4 (b) 2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 2*v**4 + 2*v**4 + 0*v + 0*v + v**4 + (4*v - 3*v + 0*v)*(-v**3 - 4*v**2 + 4*v**2) - 2*v**3 + 2*v**3 - 2*v**4 + 0*v**4 + 0*v**4 - 2*v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Suppose 8 = -4*l + 3*v - 11, 0 = l + 5*v - 1. Let g(n) = 13*n - 3. What is l*j(r) - g(r)?\nAnswer: -9*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*a = -40, -5*v + 42 + 22 = 2*a. Suppose -4*x - 3*i = 2*i + v, -x + 2*i - 16 = 0. Let z = x - -16. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37 + 0\/((-6)\/3). Let o = g + -62. Let t = -74\/3 - o. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + j + 232. Suppose 640 = 3*k + 2*k. Suppose -3*h = 3*d - 249, -h - j = -3*d - k. What are the prime factors of h?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/324*231\/(-35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 30 = 8*f. Let g be 6\/(((-12)\/384)\/((-1)\/f)). Suppose 6*c + g = 8*c. Calculate the remainder when c is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -298 + 301. What is the closest to -0.2 in -3\/5, -5, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 l, and 1 g when four letters picked without replacement from lgavvagllaaal.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36741*d**2 + 7*d + 630317?\nAnswer: -73482*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 + 15 - (0 - 2). Let n(x) = 4*x**3 - 1. Let k be n(j). Suppose z - 104 = -5*r + k*z, z + 107 = 5*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4))**24 assuming f is positive.\nAnswer: f**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45 - (4 + -6) - (-441 - -446)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -544 + 543. Which is smaller: 91 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -2752?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3678 by -2.\nAnswer: -1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -467, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48\/5 - 10. What is the third biggest value in 17, -6, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -10. Let a = p - -4. Let z = a - -24. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 118 = 4*g - 2*p, 0 = g + p - 18. Suppose -5*k - 4*t = -0*k + 15, 0 = 3*k + 5*t + g. Sort -2, -5, k in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221302 (base 5) in base 8?\nAnswer: 306114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 + -239.8. Let m = v - -23. Let s = m + 1.8000084. What is s rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.7. Let h = 9 - 13. Put -1, u, h in decreasing order.\nAnswer: u, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + sqrt(125) + 2)) + ((-2 + sqrt(5))*-6)**2.\nAnswer: -149*sqrt(5) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 26 = 4*p, 0*p + 237*w + 93 + 175 = 2*p - 909 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 1 + ((1 - 18) + 6 - -4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1076*f**2 - 696*f + 3 + 696*f - 3 as v*f**2 + a + b*f and give v.\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3542904 or -16?\nAnswer: 3542904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/27*(-7 - (-1091924)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1414284*w + 12. Let n(f) = 1414285*f - 11. Let s = -20 + 23. Let x(k) = s*n(k) + 2*a(k). Let l be x(7). What is l rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (-2*sqrt(208) - sqrt(208) - sqrt(208)))*2)\/(sqrt(32)\/sqrt(72) + sqrt(4))*-3.\nAnswer: -45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5150.758 litres to millilitres.\nAnswer: 5150758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:00 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 1.126214?\nAnswer: -0.02252428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4088505.7 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3. Let y(q) = -10*q + 512. Let i be y(52). Let a(o) = 6*o**3 + 10*o**2 - 16*o + 8. Let f(r) = i*m(r) - a(r). Factor f(k).\nAnswer: 2*(k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c1a + 16?\nAnswer: 1c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/521 - 42197\/1042. What is the common denominator of h and 47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -52*l + 277. Determine t(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*m = -20, -7*l + 10*l + 2*m = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**2 + u. Let b be i(1). Let z be 3\/2*20\/b. Let w(a) = 2*a**2 - 4*a + 2. What is the units digit of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298452 and 128898.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69063 - 176637. What is s rounded to the nearest one thousand?\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 1\/24*a**4 + 0*a + 1\/3*a**3 - a**2 + 0. List the prime factors of j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -458, -1, -4 in descending order.\nAnswer: -1, -4, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3878, -480, 2918, 6316, 9714, 13112?\nAnswer: 16510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - q - 49 = -42, 3*q + 51 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -76\/25, -5, 1\/140?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/17*(108\/(-12))\/(-9)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -4. Suppose -2*b = -i*b - 60. What is the units digit of 10*(-2)\/(16\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.5. Let m = 1014 - 1009. Which is the nearest to -1\/2? (a) p (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/60 + 7*a**4\/24 - a**3\/2 - 167*a**2. Let f(q) = -q**2 - 6*q + 2. What is -3*f(l) - 2*r(l)?\nAnswer: l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.726385 hours to days.\nAnswer: 0.863599375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 2061487?\nAnswer: -33\/2061487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysqhhsqqqsqh. Give prob of sequence qy.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -5*k - 31. Suppose -17 - k = -i. Let v = 24 - 20. Calculate the highest common factor of i and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161478873 a multiple of 2283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 19\/6, 2, -2.\nAnswer: -2, 2, 19\/6, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 11*s - 4 = 28, 5*p - 20 = 5*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-251\nAnswer: 50.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15921 is divided by 1727?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4623255580.\nAnswer: 2, 5, 47, 4918357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let f be ((-1)\/3)\/((-160)\/(-360)). What is the third smallest value in 1\/3, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*g*j*w**3 + 5*g*j*w**2 + 2*g*w**3 - 6*g*w**2 - g*w - j*w**3 + 3140*j*w - 194*w**3 + 2*w**2 wrt w?\nAnswer: -78*g*j + 12*g - 6*j - 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*q + 2*i**4 - 2*i**3 - 60*i*q + 2*q wrt i?\nAnswer: -24*i**2*q + 24*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30688\/55 + 558. What is the closest to 0 in -0.5, 0.1, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11413431 (base 7) to base 3\nAnswer: -1220102022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1100) - ((sqrt(1100) - 2*sqrt(1100)*-3 - sqrt(1100)) + sqrt(1100))).\nAnswer: -60*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328668753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 4*y)*(2 + y - 2) + y**2 + 0 + 0 + (6 + 11 + 34)*(-56*y**2 - 55*y**2 + 58*y**2).\nAnswer: -2701*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 23*c**2 + 17*c + 9 - 10 + 2*c**3 + 16*c**2 - 6*c**4 - 19*c to the form q*c**4 + n*c + y + r*c**2 + i*c**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15950 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: Expand (-3 + 0 - 1 + (0 - 1 - 1)*(1 + 2 - 2))*((-68*r + 16*r - 132*r)*(1 - 1 - 2) - r + r - r).\nAnswer: -2202*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 6*j**2 - 2*j - 3. Let i be b(-6). Let x be (-4)\/(-6) + 30\/i. Suppose -x*p = -3*p - 14. Calculate the lowest common multiple of p and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.387373km to micrometers.\nAnswer: 387373000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4461312 divided by -1184\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 + 5*p**2 + 19*p\/2 + 14\/3.\nAnswer: (p + 1)**2*(p + 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128))**2*-1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0\/k)\/k)**28\/((k*k*k**(-1)*k*k)\/k)**(2\/61))\/(k**(-4)*k**(3\/4)*(k\/(k\/(k*k*k\/(k*k*k**(2\/5)\/k))))**(-6)) assuming k is positive.\nAnswer: k**(-52723\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 2028?\nAnswer: 203a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 49\/(-28) - (-2)\/(-8). Let t be 3\/(n\/8*-3). Let g(x) = 5 - 1 - t*x + 5*x. Calculate g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(3\/(-5) - 14444\/(-40)). Round b to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 93, 200, 397, 714, 1181, 1828?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -79*i + 44. List the prime factors of o(-5).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12787524 divided by 2.\nAnswer: 6393762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2050879 - 276879. What is d rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100 (base 2) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46479, 46483, 46489, 46497?\nAnswer: 46507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7674.9758 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j - 27. Suppose 4*g - 2 + 50 = 0. Let w be x(g). What is the highest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -4\/3, 3, -33.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18811*c**5*r**2 + c**5 - 167*c**2*r**2 - 2*c**2 + c + 2*r**2 wrt c?\nAnswer: 1128660*c**2*r**2 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -248\/3?\nAnswer: -248\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 15. Solve 5*h - b = -9, -32 + 9 = 3*h - o*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 36*z + 3. Let c be t(4). Suppose -v = 5*i + v + c, -28 = i - v. Let j = i + 40. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:05 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(225\/(-140))*(-3)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492073380 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 2*j**3 - 74*j + 3 + 233*j + 0.\nAnswer: 2*j**3 + 159*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 5*l**2 - 5*l - 2. Let n(x) = -x**3 + 2*x**2 - 2*x - 1. Let f(s) = -s - 11. Let w be f(-16). Give w*n(c) - 2*b(c).\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 57*s**2 + 590*s - 266. Let m be i(-66). Which is the closest to m? (a) 0.01 (b) -110 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4 - 7.2.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p - 13. Let c(j) = 0*j + 7*j - 9*j + j + 18. Let w be c(10). Is x(w) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3220440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/28)\/(330\/294 - (-2 + 3))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-5 - -4 - 23))\/(-1). Let s(c) = -c**2 - 31*c + 62. Is 29 a factor of s(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 15, -f + 0*f + 3*p + 27 = 0. Let n = 33 + -6. What is the remainder when n is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 5229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 + 8*y**2 + 37*y**2 + 2*y**2 - 22*y**2.\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708868897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11316 divided by -12.\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3. Let n be (-1 - 1) + (4 - -3). Let c = 9 - n. Let o be -2*-6*6\/(-72). Let g(s) = -6*s**3. What is c*q(k) + o*g(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -440*p - 1040. What is l(2)?\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*l + 33, 0 = -6*j + j. Let p = -104 + 108. Let q be -1 + (p - 404)\/(-4). What is the highest common factor of q and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8227026.\nAnswer: 2, 3, 457057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 - 224.1. Let p = 23 - a. Do p and 0.1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 - 212*g**2 - 430*g - 216 = 0.\nAnswer: -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:59 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4703 - -51778\/11. Find the common denominator of -2*-1*(-2)\/14 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, -173, -391, -611, -833?\n\"Answer: -s**2 - 213*s + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39580482*q**5*s - 2*q**2*s + 432048810*q*s wrt q?\nAnswer: -791609640*q**3*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-118 + 121 - -80)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0620766 and 108.\nAnswer: -6.7042728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 324168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1 + sqrt(117))*4)\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 2)*(-12)\/10. Suppose -q*j + 10 = -j. Solve j*u = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2 + 2)*(-25*k + 5*k**2 + 25*k) - 51*k**4 - 24*k**4 - 112*k**4.\nAnswer: -177*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 24. Sort -6, 4, s.\nAnswer: -6, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/2)\/n**0*n**(-9)*n**(1\/5)\/n assuming n is positive.\nAnswer: n**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 490 and 882?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**3*y**(-11)*y\/(y**14\/y)*y**14)**(-8\/7) assuming y is positive.\nAnswer: y**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22099\/(-572418) + 22\/396.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b = -4*o - 36, -1514*o = -1515*o + b - 16 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009 + 2561 = 2*k. Is k < 1784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096592 divided by 274148?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69285 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + 6.32. Let v = -6 + f. Let c be (13 - 12) + (-11)\/(-55) + 82\/(-60). What is the third biggest value in c, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639871275.\nAnswer: 3, 5, 8531617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 - -111202?\nAnswer: 112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 298781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592327380 rounded to the nearest one hundred thousand?\nAnswer: 592300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -646a156 - -5?\nAnswer: -646a151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 5*a**7\/42 + a**6\/40 - 188*a**3\/3 + 418*a**2. Differentiate v(s) wrt s.\nAnswer: 100*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 7*k**3 - k + 3*k**2 + k - 2*k in the form w + s*k + q*k**3 + f*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5263 - 0.0737. What is the second smallest value in -4, 0.4, 22\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.6 - 10.4. Let t = -57.3 - m. Do 2\/11 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**6\/210 - 3*i**5\/140 - i**4\/28 - i**3\/42 + 8*i. Factor a(n).\nAnswer: -n*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-7)\/((-21)\/(-12)). Suppose -2*p - 4*x - 20 = 0, -r*p - 2*p - 10 = 2*x. Suppose -8*b + 910 + 282 = p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1181203, -1181194, -1181183, -1181170, -1181155, -1181138, -1181119?\n\"Answer: m**2 + 6*m - 1181210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + -22. Let g = 30.8 + k. Let j = g + 0.2000035. Round j to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -1.254813058087?\nAnswer: 9.745186941913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -1. Suppose -5*j = 3*b + 3, 4*b + 20 = j - g. Let f = b + 7. Solve 2*v - f + 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 579*a + 9. Let z be l(4). Let y = z - 1583. Suppose -20*j = -22*j + y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028 times 0.4?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 1, e: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92827 = 2*b - 3*d, 9123*d - 9128*d = b - 46420. What are the prime factors of b?\nAnswer: 5, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.997711 centuries?\nAnswer: 0.5997711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 7, a: 3, p: 3, k: 1, e: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756308.\nAnswer: 2, 7, 27011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57127695 divided by 3\nAnswer: 19042565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*h**3 - 24\/11*h**2 + 0 - 2*h.\nAnswer: -2*h*(h + 1)*(h + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130591678 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6007, -11954, -17901, -23848, -29795?\nAnswer: -35742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -324?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -637*k + 106. What is the thousands digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - l = l. Suppose 0 = w + 2*u - 5, w = -l*w + 4*u + 5. Find the second derivative of 9*d**5 + 20*d - 12*d**5 - 16*d**w wrt d.\nAnswer: -380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438.21858 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(56\/(-35)) + -115. Let n = 125 + d. Solve -6*y - 4 = -n*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 7\/((-7)\/(-39)). Let c = -40 - n. Suppose 0*f - 125 = -5*q + c*f, q = 2*f + 17. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494492 + 494492 - 15*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + l**3 - l**3)*(3*l - 5*l + l) + (-2*l**3 + l**3 + 0*l**3)*(-l - 5 + 5) + (-9*l - l + 3*l)*(-23*l**2 - 4*l**3 + 23*l**2).\nAnswer: 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(513)\/sqrt(9)*-4)\/sqrt(3))*1)**2*5.\nAnswer: 120*sqrt(19) + 1565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 5596184.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 256391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, f: 6, u: 1, g: 2, b: 1}. Give prob of picking 1 f, 1 b, and 1 g.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*m - 27, 6967*c - 4*m - 16 = 6968*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 11*f + 2, -5*v + 17868*f + 31 = 35737*f - 17866*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = -246. Let d = l - -186. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/195)\/((-6)\/60))\/(-4)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -653844 divided by -6348\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 17. Let x be -4 - -8 - (31 + -35). What is c(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*c + 192*c = -982 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16436 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1265023 and 0.84.\nAnswer: -1062619.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/7 + 3*g**3 - 18*g**2\/7 - 40*g\/7 = 0.\nAnswer: -1, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/7 + 81300*j**3\/7 + 835507850*j**2\/7 + 188953395000*j\/7 + 10803346445000\/7 = 0. What is j?\nAnswer: -20210, -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = 3*m. Let w(x) = -1733334*x + 4. Let i be w(m). Round i to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 + -185. Let q be (k\/3)\/(4\/2250). Let s be (-210 + -2)\/(3\/q). Round s to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 34*y - 6*y - 15*y - 13*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-15 + 4 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g + 110. Let s be u(-18). What is the common denominator of 127\/24 and (1\/s)\/((10\/(-55))\/2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 23*f**4\/12 - 92*f. Let h(m) = m**2. Determine h(x(s)).\nAnswer: 529*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**6\/180 + 5*n**4\/24 - 2*n**3\/3 - 4. Let o(v) be the third derivative of j(v). Differentiate o(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*2\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(((-3)\/(-6))\/1)\/(2436\/(-47502)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2082316 (base 9) to base 11.\nAnswer: 6a3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 98*t**2 + 77*t - 77. Let q(a) = -a**2 - a + 1. Let d = 13281 + -13279. What is d*s(c) + 154*q(c)?\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-41)\/(d*d**(-15)*d))**(-2\/13) assuming d is positive.\nAnswer: d**(56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571706, 571695, 571684, 571673?\nAnswer: 571662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/108 and 121\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 21*z**2 - 23*z + 1. Suppose 36 = -4*k + 4*p, 3*p = 2*k + 6*p + 28. What is the tens digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7921 + 7927.982. Let p = 7 - v. What is p rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11.99. Let c = s + -0.05. Let v = -0.05999952 - c. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a + 3. Let u(x) be the first derivative of x**2\/2 - x + 5. Let p(l) = -2*d(l) - 6*u(l). Let t(c) = c. Determine p(t(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k. Let u = 13 - k. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-145)\/455 + (-2)\/(-7). Let q = 82\/273 - h. Let o = -69.33 + 69. Is o > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1 (c) 3 (d) 1\/7 (e) 38 (f) -92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -921*z - 191. Let u(w) = -307*w - 63. Let j(o) = -3*c(o) + 8*u(o). Differentiate j(r) with respect to r.\nAnswer: 307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcxctxcxctttt. Give prob of sequence xct.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3527 - 6463. Is p at most -9992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, z: 1, y: 5, w: 2}. What is prob of picking 1 y, 1 a, and 1 z?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 223, 4, -1 in decreasing order.\nAnswer: 223, 4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/3 + 30434*p\/3 + 10145 = 0. Calculate p.\nAnswer: -1, 30435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -6*q + 54. Suppose -q = 5*f - 19. Let j(x) = -x**2 - 5*x. Let a be j(-4). Solve -4*z + 2*z = -8, -3*z + a = -f*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3075, 4326, 5577, 6828, 8079, 9330?\n\"Answer: 1251*r + 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -37*z - 36. Let l be d(-9). Let i = l + -184. List the prime factors of i.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 5*q**3 - 3*q**4 + 0*q**3 + 0*q**4 + 3*q - 1 + 2*q**4 as v*q**4 + o*q + k*q**2 + f*q**3 + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14243.99 - 14244. What is the nearest to 0.1 in j, 4\/7, 124, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*t + 54 = 242. Let c(f) = f**3 - f. Let k(x) = -4*x**3 + 6*x + 1. Let y(w) = -5*c(w) - k(w). Give y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 - 340. Suppose -40*g + 224 = -i*g. Let o be (-153)\/(-6) + (-1)\/(-2). Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1071584 and 1473428.\nAnswer: 11787424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5461 - 0.54604819. What is l rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1662\/(-30) - 9\/15. Let r = 119 + j. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 60 = 3*l. Let x = -78 + 123. Let z = x - l. Calculate the highest common factor of z and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124950*f - 125145*f = -1170. Factor 40\/7*c + f - 2\/7*c**2.\nAnswer: -2*(c - 21)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5758*n**5 - 2*n - 521?\nAnswer: -115160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-232 + (5 - 2)). Suppose 4*d - 4*n = -2 + 6, -2*d + 5*n = 4. Suppose 6*b - d*b - h = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -44. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - f = 9, -4*f + 54 = -4*j + 58 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 180570 = -46*p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 62*p**3 - 2*p**2 + 10*p - 24. Let q be o(2). What is the greatest common divisor of 44 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnnnhvvnnvvn. What is prob of picking 1 h and 2 v?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/48 and -41\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 14*z**2 + 14*z - 16. Let t be j(15). Let n = 32 + t. Let g(f) = 2*f. Let p be g(1). What is the nearest to n in p, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*((-388*k + 173*k + 183*k)*(-3 - 5 + 5) + (-4*k - 2*k + 5*k)*(-4 + 3 + 0)).\nAnswer: 194*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:01 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1919106 and 1134?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5693, -3, 3, 5.6.\nAnswer: -3, 1\/4, 3, 5.6, 5693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 5*y**3\/3 + 24. Let r(a) = a - 9 + 0*a + 4*a. Let q(t) = t - 2. Let d(w) = 9*q(w) - 2*r(w). Give d(z(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2590 and 1060?\nAnswer: 274540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744368 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24122.506 rounded to zero dps?\nAnswer: 24123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/(-165))\/(9\/15). What is the nearest to 0.2 in 7, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/42))**8 assuming w is positive.\nAnswer: w**(164\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Let l = 3 - r. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2154 + -2017. What is the remainder when 1504 is divided by i?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**2 - 2840*i + 3003*i + 94 - 2*i**2 + i**2 + i**2 wrt i.\nAnswer: -16*i + 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*w - 13244, 4*k - 77 = -3*w + 13155. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2344401 and -0.174.\nAnswer: -407925.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7807.70768 + 434440581.29232. Let l = 434448379.00000005 - w. Let v = l - -10. Round v to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 92. Solve -2*i - 3*d + 26 - 8 = 0, -3*i - y*d + 25 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t - 1 + 0*t**6 + 1\/14*t**7 + 0*t**2 + 11\/6*t**3 + 0*t**4 + 9\/20*t**5. Find the second derivative of s(b) wrt b.\nAnswer: 60*b**3 + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**3 + 5*d**3 - 9*d**3 + (0*d - 2*d**2 + 0*d)*(2*d + d - d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/252*3087\/(-2499) + 111\/(-153) + -1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*h = -2712, 3*h + 1348 = 2*f + 6*h. Suppose -4*u - 4*u + f = 0. Calculate the highest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947972575.\nAnswer: 5, 31, 47, 53479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*g + 65413, 150*d = 154*d + 4*g - 87180. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14030?\nAnswer: 2, 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202.31 + 212.521. Let k = 40 - 39.911. Let r = k + j. What is r rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 30*l - 9 = 0, 0 = 3*p - 5*l + 45 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-5 - 0)\/((-33)\/66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6249.\nAnswer: 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363.6 plus -0.5337?\nAnswer: 1363.0663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*u)*(52 - 95 + 56)*(2*u - 3*u + 0*u)*(0*u + 0*u - 4*u)*(-5*u - u + 3*u).\nAnswer: 312*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - c**3 + (0 + 1 + 0)*(3*c**3 + 3*c**3 - 4*c**3) + 2*c**2 + 3*c**3 - 2*c**2 + (17*c - 417 + 417)*(-c - 2*c**2 + c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -182*o + 542. Give s(-1).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41617, -41708, -41871, -42112, -42437, -42852, -43363, -43976?\nAnswer: -44697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333233692 by -11692.\nAnswer: -28501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-7)\/h*h*h**(-2\/7) assuming h is positive.\nAnswer: h**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512665404 by -3.\nAnswer: -170888468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2. Let v(c) = -7546*c**2 + 249*c + 2. Calculate v(x(h)).\nAnswer: -67914*h**4 + 747*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.3, -4, -620, -6, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4306 + 4310. Solve 5*t = -3*t + v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6423 + 13100. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 3121*q**2 + 1065*q**2 - 5*q + 2*q - 2079*q**2.\nAnswer: 2107*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 6*k - 1245. Let h = -186 + k. Solve -4 = 2*w - 3*g, -3*w + h*w - 19 = 2*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.5, -224\/5, 1\/10, 44\/13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/77 and -40\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, -3*h + 3*g = -h + 2. What is the units digit of (h + 0)*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 136 + 794. Let y = d - -274. Suppose 177 = 2*b + 3*h + 2*h, 0 = b + 2*h - y. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b = 94*b + 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/21*54\/(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**3 + 102*k**2 - 31*k + 9. Give z(-13).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1331) - (-1 + sqrt(1331)))*-2)**2 + -2*(sqrt(99) - -2*sqrt(99)*2) + 0.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-11187)\/484)*-8 + 4310\/4620\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3034 - 52?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 3*k - 3. Let c(p) = 4*p**2 + 2*p - 4. Calculate -3*c(y) + 4*s(y).\nAnswer: 4*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (-2 + sqrt(19))*-3 - (sqrt(38) + sqrt(152)\/sqrt(4))\/sqrt(2) - ((sqrt(114)*-4*-1 - sqrt(114) - sqrt(114))\/sqrt(6))**2.\nAnswer: -70 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + x + 23 = 0, -5*x = -4*o + 10 + 6. Let t be 6\/27*o\/(-18). Which is the closest to -5? (a) 2 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 - 1) + (0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3)*(-6)\/9*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + 50\/15. Let r(w) = 408*w + 6. Let g be r(p). Find the common denominator of -95\/8 and (-7709)\/g - 4\/18.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 - 150. What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 4. Let v(c) = 154653*c + 1. What is v(x(s))?\nAnswer: -618612*s + 618613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -3\/19 (c) 6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*o)*(10 + 19 - 8)*(14 - 3*o - 14) to t*o**2 + s + g*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f**4 + 1\/3*f**3 + 0*f + 68*f**2 - 1\/60*f**6 + 1\/30*f**5 + 0. Let l = -2 + 4. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6000*j**2 + j + 10. Let u = 0 - -3. Suppose 2*b - 5*b = -3*w - 42, w + u*b - 2 = 0. Let x be q(w). Round x to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3834, -3886, -3928, -3954, -3958, -3934?\n\"Answer: s**3 - s**2 - 56*s - 3778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (71 - 43) - 8\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, r: 1, b: 6}. Give prob of sequence brr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 12.7. Let w = 12.737 - -0.063. Let t = n + w. Round t to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 862990319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 121 - (3\/(-12) + 0). Let f = b + -120. Let s = 1 + 1. What is the smallest value in s, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191260702.\nAnswer: 2, 1031, 577721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 111. Let l = 74.53 - g. Let t = -0.03 + l. Which is the closest to 2\/3? (a) -5 (b) -2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let l(o) be the third derivative of -2287*o**4\/24 + 924*o**2 + o. What is j(l(x))?\nAnswer: 4574*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 22 = 2*l + 2*l, 3*b + 23 = 5*l. Let g = -5 - b. Sort 3, g, 0 in ascending order.\nAnswer: 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 10. Let k be j\/(-25) - (-68)\/5. What is the smallest common multiple of 286\/14 + (-6)\/k and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c. Suppose 6*q = q - j + 336, c = q + 2*j - 60. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 118?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 15 - (1 + 1 + (88 - 93))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*0.026.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 34 - 6 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/24*-67 - 3 and 83\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = m. Suppose m = -15*i + 19*i - 20. Solve -4*o - 2 = -i*g - 5, -5*g + 5*o = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/7, -0.3, 359 in descending order.\nAnswer: 359, -2\/7, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 33, 58, 61, 24, -71, -242?\n\"Answer: -3*d**3 + 16*d**2 + 2*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/((-3)\/(-198))*(-346)\/(-519)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1982886 divided by -1761.\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 5*l - l)*(15*l**2 + 8*l - 8*l)*(0*l + 0*l - 2*l).\nAnswer: 210*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.8908 and 721.089.\nAnswer: 722.9798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - -6926675.\nAnswer: 6926674.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srry when four letters picked without replacement from yyrrryyssrrr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31884799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 201*h**2 + 5*h - 1. Let f(i) = 301*i**2 + 8*i - 2. What is -5*f(n) + 8*x(n)?\nAnswer: 103*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22033211 (base 4) to base 9.\nAnswer: 63488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-2))\/(-5 - 1113\/(-222)). Let z = 223 - g. Is z greater than -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 705460 and 39620.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -25*j - 13. Let b(a) = -13*a - 6. Let f(q) = -5*b(q) + 3*k(q). List the prime factors of f(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5 + 0*u**3 + 0 - 3*u - 7*u**3 + 4*u**2 + 2*u**3. Let f(d) = 4*d**3 - 3*d**2 + 2*d + 4. Calculate 3*f(g) + 2*j(g).\nAnswer: 2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -16 + -51 - (-30 + (-2 - -4)) - -6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/5 + 40186*r\/5 + 120576\/5 = 0. Calculate r.\nAnswer: -3, 20096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8)*52*-17. Let r = 821 + y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105330943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 37 - 115 = 0. Suppose p*a - 64816812 = 17643188. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8879*f**2 + 5*f. Let d be p(5). Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 2*n**3 + 52*n**2 + 0*n + 4 - 5 + 6 - 47*n**2. Calculate f(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.8, -7, 5 in increasing order.\nAnswer: -7, 5, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.996345 litres?\nAnswer: 5996.345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqq when three letters picked without replacement from {z: 1, a: 14, m: 2, q: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.3. Let y be (-4)\/(-8) + 2\/4. Let i = -413 + 416. What is the closest to z in i, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746 divided by -161.\nAnswer: -746\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.3 + -4. Let n = 4.22 - 4.3. Let h = n - -1.08. What is the closest to 1 in t, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 9:15 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)*x\/((x*x*x**(-9))\/x)*x)\/(x*x*x\/(x*(x\/x**1*x)\/x*x)*x**10) assuming x is positive.\nAnswer: x**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1768556799 to the nearest integer?\nAnswer: 42054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 7, f: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110 (base 2) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69259129+-20.902\nAnswer: 69259108.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + 0.27. Sort 0.1, -1\/7, c in ascending order.\nAnswer: -1\/7, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144396 or -142353?\nAnswer: -144396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (26 - (0 - 11)) + -14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 46*n - 5. Let o be q(22). Suppose -2*i + f + 12 = 0, 3*f + o = 3*i + 15. What is the common denominator of (i\/(-6))\/((-372)\/207) and 31\/4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -16, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25716128 by -32.\nAnswer: 803629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.86*5\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -2*w**5\/5 - 31*w**4\/3 - 224*w**3\/3 + 128*w**2 - 16*w - 5. Find u such that d(u) = 0.\nAnswer: -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 939 and 8464653.\nAnswer: 2649436389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -244, -366, -490, -616?\n\"Answer: -p**2 - 117*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5530502.\nAnswer: 2, 2765251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 4355*l - 4123*l + 2*l**3 in the form o*l**2 + c*l**3 + z + y*l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, k: 1, b: 1, o: 1, p: 2}. What is prob of sequence sv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.409 - 0.156. Let t = i - 0.353. Put t, 2\/9, 0.04 in decreasing order.\nAnswer: 2\/9, 0.04, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10905984 divided by 227208?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/307?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -17, -49, -93, -149, -217?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 12*n**2 + 3*n + 29. Let x be c(-12). Let t be 10\/2 - (-35)\/x. Determine q so that -3\/5*q + 1\/5*q**3 + t*q**2 + 2\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.976074 litres in millilitres?\nAnswer: 8976.074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 - -113. Suppose 11 = 2*v - 1. Let p be n*3\/6*v. Solve -p*t - t = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*k**3 + 370*k**2 + 568*k - 72.\nAnswer: 2*(k + 2)*(k + 9)*(17*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 11. Let u be n(0). Suppose o - 3*f = -3*o + u, 5*o - 4*f = 14. Suppose 3*m + 3 = 0, -o*i + m + 309 = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945 is divided by 131.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261408?\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let z(u) = -u**2 + 8*u - 8. Let g(r) be the second derivative of r**3\/6 - r**2\/2 - 25*r. Let m(w) = 6*g(w) - z(w). What is m(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y - 6*y**2 - 29*y to the form l*y + i + h*y**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) - 2997\/(-36). Let f = -43 + z. Find the common denominator of (4\/6)\/(f\/75) and -27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*g + 540, -19*g + 23*g - 558 = -2*f. Suppose -5*o = 5*i - 3905, i - 4*o - 899 = -g. What are the prime factors of i?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10431134 (base 7) to base 11.\nAnswer: -563a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 - 4*h**2 - h + 2. Let c be x(-2). Let l be ((-20)\/8 - -3)*c. Solve l - 2 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6540 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1)\/(-1 + -1). Suppose -j = 2 - w. Let n(h) = 58*h**2 + 2*h + 1. Let g be n(j). Calculate the greatest common factor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708 - 431 = 58*m + 1181 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 3, b: 3}. What is prob of sequence yxxb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111241078 and 237536.\nAnswer: 14846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + r**2 - 2*r + 239. Let m(j) = -j**3 - j**2 + 2*j. What is -d(n) - m(n)?\nAnswer: 3*n**3 - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 - 641*w + 151. What is u(-92)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -656*g - 12456. Suppose 5*r = -2*u + 7*u - 25, -2*u + 7 = -r. What is the remainder when 1\/u - (-186)\/4 is divided by n(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t - 28. Let f = t + 12. Let p be f\/4*(21 - 23). Are p and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11779585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3338705 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8715230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152834686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 20. Let p(n) = -3*n**2 + 15*n + 2. Let g be p(4). Let q = g + u. Solve -4*b + q = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -1 (c) 4 (d) -2\/11 (e) -1363 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/2)*x**(2\/45))\/((x\/(x*x\/(x*x**(-22)*x))*x*x)\/(x*(x\/(x*x**(-42)))\/x*x)) assuming x is positive.\nAnswer: x**(5269\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/60 - b**4\/4 - 3*b**3\/2 - 26*b**2. Suppose a(d) = 0. What is d?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179527\/12 - 14973. Let y = -793055\/33 + 24034. Calculate the common denominator of u and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1492 + 0.4508. Which is the nearest to d? (a) 2\/11 (b) -2\/19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:58 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 764121594868?\nAnswer: -764121594867.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 = 307*m - 296*m, -4*x - m = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.5 = -43037025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2249669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 11897*n + 71345. Determine t(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/9 (b) -21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggi when three letters picked without replacement from ogniiiiniiiigo?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5720 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 307581 * -31.\nAnswer: -9535011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22428, 26317, 32800, 41877, 53548, 67813?\nAnswer: 84672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from spipwsp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15249111?\nAnswer: 3, 523, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 1, -1\/42 in increasing order.\nAnswer: -1\/42, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1344\/98)\/32*-2)\/((-11)\/(-91))?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 26*x + 29. Calculate y(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5787 + 5800. Solve u = 12*x + 97 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 371007339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68885 and 114310.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1240 and 137\/600?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1263*k**4 - 3123*k**3 - k**2 - 225821*k + 36 wrt k.\nAnswer: -15156*k**2 - 18738*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 5*o - 5169 + 5363, -2*y - 3*o = -142 for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -111359, -222327, -333295, -444263, -555231, -666199?\n\"Answer: -110968*w - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2278 - -2306. Suppose 0 = 2*l - 0*l + 4. What is the units digit of p\/(-7) + (-30)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sslu when four letters picked without replacement from {l: 1, x: 7, s: 6, y: 4, u: 2}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -4*f + 4*m, 0*f + 4*f - 131 = -5*m. What is the remainder when f is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/6 (b) 0.3 (c) -0.1 (d) -3 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u + 65*u**4 - 40 - 32\/3*u**3 + 0*u**2. Find the third derivative of g(l) wrt l.\nAnswer: 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -52.165 and -83641048.\nAnswer: -83641100.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -516 - 6*p + 6*p**2 + 506 + 2*p**2 - p**3. Let c be f(6). Suppose c*t - 28*t + 574 = 0. List the prime factors of t.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 42, 136, 286, 498, 778, 1132, 1566?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + 144 - (-10 + -4 + -7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(2448) + sqrt(2448) + (0 + 1 + sqrt(2448) + sqrt(2448) + sqrt(2448))**2).\nAnswer: -110167 - 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let p(c) = -6*c + 6. Let b(s) = -5*s + 6. Let n(j) = -4*b(j) + 3*p(j). Let o(z) = z - 7. Let q(m) = -7*n(m) + 6*o(m). Give r(q(x)).\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 13*n**7\/21 - 7*n**4\/12 - 7*n. Find the third derivative of u(z) wrt z.\nAnswer: 1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:43 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osodjffjbfssods. Give prob of picking 1 o and 2 d.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26278*n**3 + 26636*n**3 - 79038*n**3 + 2 + 26457*n**3 - 2.\nAnswer: 333*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 926682 + (-6 + 2 - -11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4494)\/24*(-12)\/(-42)*-8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y - 58*y + 25*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 2*f + 2. Suppose -4*n = -2*a + n + 19, -5*a + 10 = -5*n. Let d(w) = 4*w**3 - 3*w + 3. Give a*s(j) + 2*d(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, -2, 4, 661 in increasing order.\nAnswer: -5, -4, -3, -2, 4, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.01, 0, 34382 in ascending order.\nAnswer: -16, -0.01, 0, 34382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/5 + 924*n**2\/5 + 90114*n\/5 + 69160 = 0.\nAnswer: -325, -133, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15680 and 8960.\nAnswer: 62720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3 - 2*n + 6 - 8. Suppose -5*v = 5*g + 14 + 21, -g = -v - 5. Determine a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000487399 rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**3*r**2*y - 71674*p**3*r + 9*p**2*y + 515598*r**2*y wrt p.\nAnswer: 18*r**2*y - 430044*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucsuupuuuuppsssuuss. Give prob of sequence puuu.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(-1 + sqrt(1377) - sqrt(1377)) + -5 + 1*sqrt(17)*-1).\nAnswer: -5*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-4)*59\/((-4543)\/6)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1019, -92, 5 in increasing order.\nAnswer: -1019, -92, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 4*j**4 + 5*j**4 - 27*j**3 + 29*j**3 + (-j + 2*j**2 + j)*(3*j**2 - 4*j**2 + 0*j**2) - 2*j**4 + 3*j**3 - 3*j**3.\nAnswer: -3*j**4 + 2*j**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23791 is divided by 1531?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*j - j. Let n = j - -1. Suppose 3*q - 6*q = -n. Which is the second biggest value? (a) q (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -16\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 72. Calculate the least common multiple of u and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 - 12*o + 10*o + 2*o.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -58, 1 in descending order.\nAnswer: 1, -2, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2674\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 310, -1\/5, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 3200?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.8 - 19.5. Let c = 4.08 - 0.08. What is the third biggest value in g, -8, c?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1711, -2489, -2341, -1267?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 3*q + q)*(-2 - 2 + 3) + 48*q + 43 - 43 + 0*q + q + 0*q)*(3*q - 4*q - 4*q).\nAnswer: -230*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22 and (-159)\/(-38) - (-264)\/(-44)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**2 + 28*c**2 - 16*c**2 + 46*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m - 4. Let x(w) = 6*w - 2. Let o(i) = -4*i - 1. Let v(s) = s - 1. Let d(g) = o(g) - 3*v(g). Let z(n) = -2*d(n) - 3*x(n). Calculate 2*q(a) + 5*z(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((4 - 3)*-3). What is the second smallest value in 3, -1\/5, b, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g - 22 + 22 + 2*g + 4*g - 5*g - 1 - 2*g + 1 + (1 + g - 1)*(-6 + 3 + 1))*(-7*g**2 + 3*g**2 + 2*g**2).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f**3 - 216*f - 60*f + 58*f**3 - 209*f**2 - 126*f**3 - 136 + 65*f**2 = 0. What is f?\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 10) to base 12.\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -86599*j - 10. Let q be g(10). What is q rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -38*o + 4. Let w(n) = n**2 + 5. Let r be w(0). Suppose -r*p = 3*m - 5 + 3, -m = 2*p. What is the tens digit of a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 1. Let x(g) = -g**3 - 9*g**2 - 13*g + 9. Let m(f) = 2*q(f) + x(f). What is the tens digit of m(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112000258?\nAnswer: 2, 37, 1513517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:52 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 6. Let n be m(6). Suppose 21 = -d + 17. Let p be 4 - 24\/(n + d). What is the highest common factor of p and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/21*(-17745)\/(-37180)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 94904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -y + 85, -y + a + 76 = -0*y. Suppose 5*q + 2*g - 441 = y, -4 = -2*g. Let n = -77 + q. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3475.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78 + -57689?\nAnswer: -57767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10522374 (base 8) to base 9.\nAnswer: -4240433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + -30. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7090 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) -1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 4 - (1 + -4 + 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1127 - 6*f - 4*f - 7*f + 17*f + 2*f to w + i*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1712621779.99999924 + 1712621746. Let z = q - -34. Round z to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 27*q**2 + 312*q + 305. Let t(r) = -16*r**2 - 156*r - 152. Let u(s) = 3*n(s) + 5*t(s). Factor u(j).\nAnswer: (j + 1)*(j + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2299) + -2).\nAnswer: -55*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2. Let o be z(1). Suppose o*s + 2*m = 7, -3 - 7 = 2*s + 4*m. Let x = -3642 + 3649. Sort -2, 2, s, x in increasing order.\nAnswer: -2, 2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/(-6) + -4)*(-18)\/2. Let k be 3*((-248)\/(-6) - (r - 1)). Round k to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i = -24*i - 264. Put 5, -53, i in descending order.\nAnswer: 5, i, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*h + 145*h + 27 - 27 - 7*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(144)\/(sqrt(6)*3))\/(sqrt(588) + sqrt(588)*-2).\nAnswer: -sqrt(2)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8585 or 8587?\nAnswer: 8587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from kkkiikkikk.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/(((-651)\/31)\/1176)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10053552 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + 38. Suppose 2*f + 5*r - 71 = 0, -2*f + 5*f - 3*r - p = 0. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*x - 411 = 2262 + 2868 + 1179 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 22*g + 71*g - 23*g - 26*g.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -16.6. Let s = y + -2.6. What is the third smallest value in -21, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 4*q + 1. Let j(w) = 7*w + 160 - 174 + 2*w**3 - w**3 - 6*w**2. Let x be j(5). Give y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*c**3*m**3 - 47*a*c**3*m*t - a*c**3*t - 2*a*c*m**3*t - 2*a*c*m*t - 2*a*c*t - 19*c**2*m**3 wrt c?\nAnswer: 12*a*m**3 - 282*a*m*t - 6*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 + -80. Suppose 2*u + 4 = -12. Let v = -3 - u. Calculate the greatest common factor of t and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 4*m**3\/3 - 7*m**2\/2 - 21*m - 153. Let z be y(-3). Calculate the greatest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6607951100 to the nearest integer?\nAnswer: 81289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 22*x + 78. Let j(m) = m**3 + 22*m**2 + 2*m + 26. Let g be j(-22). Let b be v(g). Solve 2*p = b*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qic when three letters picked without replacement from {c: 1, q: 4, p: 1, i: 8, v: 1}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -33600 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.4228 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 4 + (-23 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 6. Let v be ((-4)\/1 - -8)*-14. Let q(a) = a**3 + 4*a**2 - 5*a. Let s be q(-6). Let i be 6\/(-4)*v\/s. Let z(h) = 3*h + 13. What is i*z(c) + 5*y(c)?\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -7.74.\nAnswer: 6.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000920732 to five dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/3 + 5*l**2\/2 - 1. Let g be h(4). Let r = 6 - g. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 1.3. Let h = 771\/7 + -110. Which is the nearest to -0.2? (a) h (b) q (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4505, 4887, 5513, 6383?\n\"Answer: 122*k**2 + 16*k + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 13*m + 61\/2*m**2 - 19. What is the first derivative of c(p) wrt p?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -24354 (base 13) to base 15.\nAnswer: -14a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2564 or -2291?\nAnswer: -2564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u**2 + u. Let v(j) be the third derivative of 0 + 1\/24*j**4 + 0*j + 0*j**3 - 13*j**2. What is v(z(c))?\nAnswer: -15*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3108)\/(-35)*(-43230)\/(-99) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106934460, -106934454, -106934448, -106934442, -106934436, -106934430?\n\"Answer: 6*b - 106934466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 201*c**2 + 3045*c - 11025.\nAnswer: 3*(c - 3)*(c + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11691 + 21329. Is s a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let t be v(-6). Suppose t*b + 2 + 0 = -k, -k = -b - 4. Let j = -6140 + 6150. Solve k*q + j = 4*h - 9, 2*q + 11 = h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025895371 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 557, 1096, 1633, 2168, 2701, 3232?\n\"Answer: -g**2 + 542*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 21. Let n(r) = r**2 - 4*r. Let g be n(a). Suppose q + 5*w = -2*q + 65, 131 = g*q - 3*w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 890446 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 388*w + 126351. What is y(211)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j**(1\/3)*j)**(2\/33)*((j*j\/(j\/j**5))\/j**(-2\/21))\/(j\/(j*j**(3\/7))*j*j*j**7\/j) assuming j is positive.\nAnswer: j**(-1009\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7469345*a*t - 6067821*a wrt t.\nAnswer: 7469345*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1658, -3316, -4978, -6644, -8314, -9988?\n\"Answer: -2*j**2 - 1652*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864 a factor of 330264818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336642 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**3 - 4. Let q(n) = 7 - 5*n**3 + 6*n**3 + 9*n**3 + 5*n**3. Let m(f) = 3*q(f) + 5*v(f). What is the derivative of m(x) wrt x?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110000110000 - -10?\nAnswer: -101101110000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -6?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-5)\/(-3)). Let l = -239 + 240. Which is the nearest to -2? (a) -4\/7 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 8. Let n(t) be the first derivative of -13*t**2 + 46*t - 25. Let k(x) = 5*x - 9. Let l(y) = -11*k(y) - 2*n(y). Determine -6*a(h) - 7*l(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 49.88. Let p = n + 0.1191. What is p rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 6*w + 60 = 0. Suppose w*g + 20*u + 25 = 15*u, 4*g + 5*u + 20 = 0. What is the third smallest value in 2\/7, -4, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-40)\/(-70) - (-1)\/(-1)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j + 0*j**2 - 29*j + 2*j**2 + 0*j**2.\nAnswer: 2*j**2 - 44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 61*q**2 - 9*q + 574. Let l be r(61). Solve -4*b = 2*v + 10, -8*v + 3*v = -4*b + l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 1887?\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 6, 10, 14, 18?\n\"Answer: 4*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7841, -2, 69 in decreasing order.\nAnswer: 69, -2, -7841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 8\/7, 6.137 in increasing order.\nAnswer: 8\/7, 6.137, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 15*u**3 - u**4 - 3 - u**4 + u + 3 to b*u + c*u**2 + g*u**3 + k*u**4 + a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 26203*h + 52401. Determine i(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 4 + 4 + (-4 + 0 + 3)*(-26*h - 6 + 6).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 + 578640*v**2 - 10416549*v - 10995186 = 0.\nAnswer: -192898, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -124, 5, -2, 17, -4 in increasing order.\nAnswer: -124, -4, -3, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 26\/23?\nAnswer: 26\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -250141200 to the nearest 100000.\nAnswer: -250100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-855) - (-48)\/152. Determine y so that l*y**3 - 7\/3 - 5\/3*y**2 - 13\/3*y = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:46 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - c)*(-101 + 21*c + 101).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + s = 0, 0 = 2*n + n - 4*s. Let k(v) be the third derivative of n*v + 7*v**2 - 1\/12*v**4 + 0*v**3 + 0. Let f(j) = 6*j**2. What is k(f(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l - 5*l)*(-5 + 17 + 6) to the form z*l + y and give z.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 16. Suppose 5*q - 6 = -u + 13, -b*u = -3*q + 33. Let a(z) = 5*z**2 - 6*z + 6. Let o(g) = -11*g**2 + 13*g - 13. What is u*o(k) - 13*a(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110121201120021 (base 3) to base 16.\nAnswer: 665533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16543 is divided by 197?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63420, 253680, 570786, 1014738?\nAnswer: 1585536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.5, 34, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1606726*z + 12478. Let k(c) = -1545*c + 12. Let l(d) = 6*j(d) - 6239*k(d). Let q(h) = 3*h. Calculate l(q(r)).\nAnswer: -3303*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25636.68cm to micrometers.\nAnswer: 256366800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -804, -1375, -1710, -1809, -1672?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.448 to one decimal place.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 9*j + 2319 = 2285, -2*b + 22 = -b - 5*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 - 2*z - 10. Let n be g(-6). Let f be 3 - 1*(-1)\/(-1). What is the third derivative of 8*r**4 + 0*r**n - 6*r**2 + 2*r - f*r wrt r?\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -33, 117, 411, 897, 1623, 2637?\nAnswer: 3987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**7\/140 - y**6\/180 + 7*y**4\/24 + 11*y**3\/6 + 63*y. Let d(b) be the second derivative of r(b). Differentiate d(o) wrt o.\nAnswer: -18*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 - m**4\/4 + m**3 - m**2. Let v be 216\/168*(-14)\/(-3). Give u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0178 - 13.4178. Let u = m + 34.4. Let i = 314\/5 + -63. Is u equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 50. Which is the biggest value? (a) 1 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(0 - 4 + 4 - 684*n).\nAnswer: -684*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34900140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 2488434?\nAnswer: 9953736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -645 - 320?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 3. Let f be y(5). Suppose -3 = 5*z - f. What is the remainder when 9 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7592 = 5*s - 13*s. Let k = 1639 + s. Suppose -7*a + a = -k. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(72)\/sqrt(6) - -4*(-2 + sqrt(3) + -3).\nAnswer: -16 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o + 16*o - 22*o - 36*o)*(2 - 3*o**4 - 2).\nAnswer: 159*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 62976396.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*q - 24 = 4*q, 3*j - 4*q - 4 = 0. Let c be (-27)\/(-18)*j\/(-9). Determine g so that -2\/3 + 2\/3*g - 2\/3*g**3 + c*g**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 118 = p + 103 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (49 - -10) + -6 + 8 + 5 + -16\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -134*q + 6565. Calculate m(49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18042049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaa. What is prob of sequence aa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 398962.6 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -354, 6\/7, -3\/2, 11?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 - 31*g**2 - 3*g**2 - 3*g**3 + 40*g**2 - g + 25*g**2 in the form r*g**3 + t + y*g**2 + w*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-3)\/((-6)\/26). Suppose 2*x - t = -x. Let u be -6*3\/6 + x. What is the highest common divisor of 4 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/60 - z**3\/6 + 28*z**2. Calculate j(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 3, -0.2, -1, 2\/7, 4.\nAnswer: -130, -1, -0.2, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + (-3 - -8 - 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.77739 days in seconds?\nAnswer: 2659166.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 7)) + (2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = -2*z - 9, 2*z = 3*d - 3. Let j be 4\/(-14) + 16\/7. Let v(x) = z*x + 2*x - j*x - x. Let m(u) = 4*u**2. What is m(v(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 3*j + 92, -42*j = 3*y - 255 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47368.86 rounded to the nearest one hundred?\nAnswer: -47400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**7\/2 + 13*w**3\/3 - 2*w + 5. Let c(n) be the first derivative of f(n). Find the second derivative of c(x) wrt x.\nAnswer: 420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + 118. Let k = 130 - d. Let m = 134.939 + k. What is m rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42518, -170465, -383710, -682253, -1066094, -1535233, -2089670?\nAnswer: -2729405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1440, 1413, 1386, 1359, 1332?\n\"Answer: -27*r + 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167.98 + -166. Let f = -1.02 - -1. Let k = t - f. Which is the third smallest value? (a) k (b) 0.5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3263 and 5\/20761?\nAnswer: 5211011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -787, -644, -331, 152, 805, 1628, 2621?\n\"Answer: 85*i**2 - 112*i - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 4*x - 2*x + 4*x - 4. Let y be a(-6). Suppose -5*b = y*k - 30, -4*b - 6 = -5*k + 3. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + 6. Let y be (5\/5)\/((-2)\/o). Solve -12 = -2*k - y*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 7*k - 1. Suppose 4*c - 28 = -4. Give g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 2) + (-1 - 1). Let g(u) be the third derivative of -23750*u**4 - 3*u**2. Let b be g(y). What is b rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -2*h - 0*h - 2*l, 245 = -5*h - 4*l. Is h less than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 - (3 + -6 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -10*n + 2. Is (-5746)\/(-17) + n + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -60, -6.45?\nAnswer: -6.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -15 - -3 - -16 - 37\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**3 - 1362019*c**2 + 1204*c + 1891.\nAnswer: -36*c - 2724038","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103128 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11660181 is divided by 466407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:52 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5105791?\nAnswer: 5105791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001110 (base 2) to base 10.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Solve 2*q + 4*b = 22, -4*q - 7 = -3*b + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 3*l - 29. Let a be k(7). Let c = a + 49. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + (16515\/(-828) - -36))*4?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48907, 101539, 154171, 206803, 259435?\n\"Answer: 52632*r - 3725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*w**2 + 44*w**3 + 40*w**3 - 83*w**3 + 2 + 130*w**2 - 15*w as t*w**2 + a*w + l + i*w**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/17, 76, -2\/11, 0.806.\nAnswer: -2\/11, -2\/17, 0.806, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2280, 2389, 2536, 2721, 2944, 3205?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 7. Let r(f) = -f - 2. Let c be r(4). Give b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 79*a + 12. Let v(s) = -20*s - 3. Let r be 6\/(5\/(80\/(-64))*1\/(-6)). Determine r*v(q) + 2*g(q).\nAnswer: -22*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 540 = 412 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 426 = 458. What is the third derivative of -243*t**4 - 70*t**4 + 21*t**r + 5477*t**2 - 5773*t**2 wrt t?\nAnswer: -7008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/19*x**3 - 12\/19*x**2 + 16\/19*x + 0.\nAnswer: 2*x*(x - 4)*(x - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 172?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 153 * 0.3392\nAnswer: 51.8976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-68)\/272)\/((-2)\/(-24)). Let u = 0.9 - 1. What is the nearest to u in c, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -10. Let f = t + 2. Let v(r) be the first derivative of r**2\/2 + r - 3. Calculate v(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*x + 25, 14*x = 11*x - r - 4. Is x at least as big as -1\/27926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3522778994 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-539)\/(-770609)) + (-2)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/1*1)\/((-26)\/(-26))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30814 or -4.5?\nAnswer: 30814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**5)*(q\/q**(-12))\/q)\/(((q**(-3)\/q)\/q*q)\/q**(-1\/19)) assuming q is positive.\nAnswer: q**(398\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134505 (base 9) to base 3.\nAnswer: 11011120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -170, -6587, -17272, -32225, -51446, -74935?\n\"Answer: -2134*l**2 - 15*l + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 + 33679*g**4 - g**3 + 410263*g**2 + 2*g - 1 wrt g.\nAnswer: -60*g**2 + 808296*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 32. Suppose -4*s = -2*i + 52, -4*i - 5*s = -d + 18. Calculate the remainder when i is divided by (-9)\/12 + (-15)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2202*s = -2191*s - 264. Suppose b + 4*d = d + 981, 3*b = 5*d + 2957. Calculate the highest common divisor of b and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/75 + (-762)\/(-10). Let h(g) = g**3 - 68*g + m*g - 1 - 8*g**2 - 3. Let f be h(7). Solve -f = 5*a - 2*p, a - 2*a = -2*p + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/6 + 11*j**3\/6 - j**2\/2 + 3*j. Let c be m(9). Let l = c - -191. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + (-1*(-1 + sqrt(17))*-1 - ((sqrt(170) - (sqrt(170) - (sqrt(170) - -1*sqrt(170))))\/sqrt(10) + 4))))**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 1. Let h = i + -16.4. Let a = -3 - h. Sort 2\/3, -3, a in decreasing order.\nAnswer: 2\/3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9111868 - 50123.\nAnswer: -50126.9111868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 + -130. Let k = 16 - f. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (-2*sqrt(99) + -5 - sqrt(99))) + 5 - (sqrt(99) + 3 + -1 + sqrt(99) + 5))*2)**2 + 5.\nAnswer: 144*sqrt(11) + 1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u + 17. Let s(v) = 6*v - 19*v - 25*v - 16 + 2*v. Let k(p) = 5*h(p) + 6*s(p). Differentiate k(t) with respect to t.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p**3 + p + (-2 + 3 - 4)*(16*p**2 + 2*p**3 - 16*p**2).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34566, -69117, -103668, -138219, -172770, -207321?\n\"Answer: -34551*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*-91.\nAnswer: 8372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -13. Let v = j - 11. Let -88*f**2 + 40*f**2 + 40*f**3 - 6*f**5 - 6*f**5 + 8*f**4 + 8 + v*f = 0. What is f?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 608 or 2429\/4?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 0, 5, -191 in descending order.\nAnswer: 5, 2, 1, 0, -4, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 515, 842, 1169, 1496, 1823?\n\"Answer: 327*x + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1224 (base 5) to base 3\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 2. Let b(w) = 2*w + 2. Suppose 20 = 2*z - z - 2*p, -5*z - p = -155. Suppose -11*c = -z*c + 57. Determine c*n(g) + 2*b(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26725 and 8385?\nAnswer: 44817825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 6:01 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l = 171*l - 79*l + 126 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/10*(1 + (-3)\/9). Suppose -3*z - t*a + 2 = -2*a, -4*z + 4 = a. Solve -z = -5*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 9 + 3, -56 = -4*h - 2*j. Which is the second biggest value? (a) h (b) 1\/5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243\/2 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1015 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*l + 19*l - 4*l)*(-3*l**2 - l**2 + 2*l**2)*(4 - 3*l - 4).\nAnswer: 252*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*t - 4889 - 13974 - 7009. What is the remainder when t is divided by 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 16352.\nAnswer: 23\/8176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 bigger than 2\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(242)*3)**2 + 4*(sqrt(242) + 2) + -5.\nAnswer: 44*sqrt(2) + 2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:21 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 5, -70 in descending order.\nAnswer: 5, 2\/7, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5504\/10320*(-660)\/(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19045 divided by -5\nAnswer: -3809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5359603 and 786.\nAnswer: 32157618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20014*l**5 - 34*l**3*q - 9206*l**2*q - 4*l**2 wrt l?\nAnswer: 1200840*l**2 - 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (5 + -1 - 0). Let k(f) = f**3 - 9*f**2 + 9*f - 7. Let p be k(8). Let u be p\/5 - (-6)\/(-80). Put u, -2, v in descending order.\nAnswer: v, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4 - (8 + 3 - -2). Let u be (-1 + (-5)\/q)*-18. Calculate the highest common factor of 84 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/93 - 101\/372. Let v = -5.7 - -2.7. What is the closest to -0.2 in -5, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.7 - -37.1. Let x = a + -18. Let k = 7.4000031 - x. What is k rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10469*f + 5236*f + 5234*f + 48 = 0 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*h - 1 + (-2*h + 2*h + 2*h)*(1 + 0 + 0))*((h + h - 3*h)*(1 + 1 - 1) - 11*h + 52*h - 22*h) to z*h + n*h**2 + q and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 7*q - 9. Let w(t) be the third derivative of t**5\/60 + t**4\/8 - 2*t**3\/3 - 10*t**2. What is 2*a(s) - 5*w(s)?\nAnswer: -s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000011 + 1110001110101100?\nAnswer: 1101111100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + 9 - (7 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 4*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14085059?\nAnswer: 14085059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 865356 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/20 + 2 - 9129\/(-1020) - 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 10) + -7 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 1 = 2*r + 9, 2*r = 5*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2017609291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046385 to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 - 3*g**2 + 3*g - 1. Let s be u(-6). Let k be (15\/1)\/(-3)*s. Let l = -54550\/11 + k. What is the common denominator of l and -49\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:46 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rshnhnwzwwhhhrrhzww. What is prob of picking 1 h, 2 n, and 1 z?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4662 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/(s\/s**4)*(s\/s**(3\/4))\/s*(s\/s**(2\/3))\/s assuming s is positive.\nAnswer: s**(103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**3 + q**2 - q - 1. What is the remainder when 4\/5*(-8)\/(64\/(-300)) is divided by c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/19)\/(f*((f*f\/f**(1\/51))\/f)\/f*f)*(f\/f**13)**(-40))**(2\/63) assuming f is positive.\nAnswer: f**(926300\/61047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o + 46916 = -697*o - 208*o + 3964 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - (-11 + 7)) - (-11 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (35\/7)\/(-25)*44\/(-22)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 85.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19, 1025 in increasing order.\nAnswer: 1, 19, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 1, 10, -5\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -41 + 36 - (4 - -1) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31368040 to the nearest integer?\nAnswer: 5601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 67 = 5*t - 0*t, 3 = 3*t. Let k = 0 + 0. Suppose 3*b + 0*h + 4*h - 4 = k, 2*b - 3*h = q. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1654*v + 643 - 325 - 318 to n*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 4 + -15 + 0 - 31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-8)\/20 - -2). What is the smallest value in -2, -0.5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-156)*9\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/235008 and -17\/3584.\nAnswer: 1645056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:32 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2385677, 4771353, 7157029, 9542705, 11928381, 14314057?\n\"Answer: 2385676*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*s - 3*m, 24 = -s - 4*m + 9*m. Let g = 0 - 5. What is the nearest to 1 in 2\/11, g, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394*k**3 + 617*k**3 + 291*k**3)*(-6 - 2 + 3)*(-k + k - k).\nAnswer: 2570*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 38*w - 89 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-98))\/(4\/(-14))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 11*k**2 + 9*k - 7. Let o = 85 + -95. Calculate m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4 and -51\/164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -28. Suppose 2569 = 4*c + 3*f, a*f - 655 = -c + 4*f. Let b be (c\/6)\/(6\/174375). Round b to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -26 + 65 + -102?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6062525 - 2508156 = -41*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*r + 8 = 0, 3*r - 6 = 4*s - s. Suppose -3*m + m = 2*g, 0 = -3*m - 4*g - 1. Let l(z) = -2*z**2 + m - z - z - 2 + 2. Determine l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 13*i**2 - 5*i - 3. Let c be u(-9). Let o = c - -856. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/3 + 223*g\/3 = 0.\nAnswer: -223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 4 - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1279316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -157, -334, -579, -892, -1273?\n\"Answer: -34*n**2 - 7*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 15*y + 71. Let c be n(10). What is the highest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58997990 is divided by 223?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. What is the second derivative of k + 2*k - 4*k**g + k wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -7*s - 233. Solve -3*p + 5*j - 9 = s, -j + 15 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -91, -66, -31, 14, 69?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24402*k**2 - 2*k + 13 + 1 + 24404*k**2 in the form u*k**2 + j + v*k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(3\/7)\/t)\/t**(-3)*t\/((t\/(t**4*t))\/t)*t**(1\/4))**(-1\/13))**(-4\/31) assuming t is positive.\nAnswer: t**(271\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 bigger than 363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q. Let m(h) = -5167*h**2 + 5170*h**2 + 3*h + 14*h. Let k(g) = -g**2. Let j be k(-1). Let b(t) = j*a(t) - m(t). Solve b(c) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*b + 15 = 0, 4*d - 15 = -0*d - 5*b. Let l = 0 - 0. Let v be 1\/(-2)*l\/(-1). Solve v = -d*k + 15 - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**4 - l**3 - 2*l**2 + l - 2. Let v(a) = -621*a**4 + 6*a**3 + 12*a**2 - 6*a - 560. Let k(c) = -6*u(c) - v(c). Differentiate k(y) with respect to y.\nAnswer: 2460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:45 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 68 + 66 + z**2 + 0*z**2 - 3*z**4 + 4*z**3 to v*z**2 + t*z**4 + x*z**3 + o*z + g and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -972*o + 1019*o - 58. Let p = -9.44 - -9.4. Let t = -0.26 - 0.04. Which is the closest to -2\/3? (a) t (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 4, i: 13}. What is prob of picking 1 f and 1 i?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, b: 3, z: 1, m: 4}. What is prob of picking 1 b and 1 m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6 - 2*w - w**2 + 1 + 2 - 2. Let j(d) = 0 - 2*d + 1 - d**2 - 5. What is 3*j(m) - 2*p(m)?\nAnswer: -m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 2, -1\/5, -0.4, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, 5, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:29 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1150579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*d + 14. Let t = d - 14. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6294 less than 4388?\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 3\/4 (c) -0.07 (d) 8138 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(18))**2 + -4 + ((-3*sqrt(18))**2 - (sqrt(2) + (sqrt(242) + sqrt(242) + 1 + sqrt(242))**2)).\nAnswer: -2003 - 67*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 197680309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/3, 199, 1, -11, -5 in descending order.\nAnswer: 199, 1, -4\/3, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116.000047 - -116. Round g to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 165. Let j = 52 + k. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 0.11. Let u = -0.13 + 0.1. Let c = u + g. What is the second biggest value in c, 0.3, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162696 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u**2 - u - 1. Let b be k(-1). Suppose b + 1 = 3*t. Suppose -3*p - 9 = -t*f - 92, 48 = 2*p + 4*f. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 89*l**3\/6 - 2*l. Let j(q) be the first derivative of -q**2\/2 + 711. Calculate j(m(a)).\nAnswer: -89*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 73. Suppose -i - w = 2*i - 5, -5*i - 2*w = -9. What is the nearest to i in v, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -i + 9 + 8, 23 = 3*i + 5*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0 + 4. Let u(s) = 4*s**2 + s. Let k be u(b). Solve 3*c = 1 + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17128, -68588, -154380, -274504, -428960?\nAnswer: -617748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -644.395096 rounded to 1 decimal place?\nAnswer: -644.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2965314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(20\/(-5) + 9)*(24 + (-245)\/10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Let n(o) be the third derivative of 0*o + 0 + 2*o**2 + 0*o**y - 1\/105*o**7 + 0*o**4 + 1\/180*o**6 + 1\/45*o**5. Factor n(p).\nAnswer: -2*p**2*(p - 1)*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5 - 2*a + 35 - 19 + 31. Let n be o(19). Let b = -11 + 11. Solve b = -5*r + n*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 10924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 16 - 230*v - 151*v in the form g + u*v and give u.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 5*t**2 + 5*t + 0*t**2.\nAnswer: -10*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.141 take away -0.12?\nAnswer: -1.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:24 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 1)*(-16)\/(-24). Let w be (-16)\/a*(-2)\/8. What is the greatest common divisor of 18 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from zzazmmmczz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*r**4 - 179 - 2*r**2 - 4*r**4 + 177 to the form i*r**4 + j*r**3 + q + g*r + o*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 13*g + 53. Suppose 4*b + 28 = 6*b - 3*s, -3*s + 28 = 5*b. Give c(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251831664 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 54*m**2. Let p(s) = 139*s - 873. Calculate p(h(b)).\nAnswer: 7506*b**2 - 873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2, -5, 0.083?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 174999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 3 - 23 - 48*g - 9*g**2 - 9 - 6 + 3*g**3.\nAnswer: 3*(g - 6)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41801, 65, 3 in descending order.\nAnswer: 41801, 65, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 49*q**2 + 36*q**2 + 11.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*a + 1832 = 0, -2*s + 5*a + 1833 = 8*a. Let c = -911 + s. What is the greatest common divisor of c and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133220310 (base 4) in base 11?\nAnswer: -248350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -70*r - 64*r - 132*r + 19*r - 34*r. Let y(c) = c**2. Determine w(y(u)).\nAnswer: -281*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161.6 + -179. Let y = j - -17. Let v = 6 - 1. What is the second smallest value in y, v, -11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10402.\nAnswer: 2, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -300, -1, -4.\nAnswer: -300, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6699 > -6701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-2\/9))**24 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2797, -2789, -2781, -2773?\n\"Answer: 8*a - 2805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 5*d**2 + 5*d**2 + d**2 - 5*d**2 + 3*d**2 + (1 - 1 + d)*(-4*d + 4*d + 2*d) - 4*d**2 - d**2 + 2*d**2 - 14*d**2 + 0 + 0.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 60 = 33. Let m(z) = -17 + 2*z + 4*z - j*z + z**2 + 22*z. Let d be m(-20). Solve 2*y + 5 = -d*u + 15, 0 = u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-7))\/(26\/(-91)). Let q(m) be the third derivative of 0*m - 1\/8*m**4 + 1\/20*m**5 + 0*m**3 + m**y + 0. What is the second derivative of q(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 62*y**2 - 25*y + 3. Is k(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0790962 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m. Let y(g) be the third derivative of g**4\/4 - 16*g**2. Let q = 23 - 19. Give q*y(l) - 5*f(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e71d (base 15) in base 13?\nAnswer: -8a53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -193*d + 193*d + d**2 + 22*d**3. What are the prime factors of z(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 14*t + 1. Let x be a(-12). What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*x**2 - 4003932*x - 363994.\nAnswer: 2*(x - 181997)*(11*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let x(q) be the first derivative of -q**3\/3 - 2317*q**2\/2 + 4965. Calculate x(k(j)).\nAnswer: -4*j**4 + 4634*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33278 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*u - 14 = 0, -4*t + 592*u = 593*u - 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -318*j + 26?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 0*m**2 + 0*m**2 + (-4*m + 2*m + 0*m)*(-m + 1 - 1))*(80 - 155 + 39)*(16 + 11 - 8).\nAnswer: -684*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28600 + 24047 + 1553 = 1084*x for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11165 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 104*f - 904. What is the remainder when i(-49) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260 - -268. Suppose -w*g = -721 - 167. List the prime factors of g.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578000869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 26*g. Let k be p(1). Suppose 2*s + k = 2*j, 2*j - s - 24 = 2*s. Suppose 37 = 2*r + j. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2*954\/(-24) - (-7 - 2)). Suppose -3*i + 12 = 2*c, 2*c - c + 2*i - 8 = 0. Suppose c = 4*o - 0*o. Is p < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/(-45))\/(-14)*(-18)\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006183739.\nAnswer: 3, 7, 71, 827, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)\/4*(18 + -12). Solve -3*x + y = 3*d, -5*d - 2*x = -d - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1183*p**2. Let v(f) = 369816736 - 5*f - 369816736 + 4*f. Give v(s(n)).\nAnswer: -1183*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 2*p = -70, -11101*p - 45 = -5*z - 11102*p for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8330 and 93\/61880.\nAnswer: 433160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, 350, 8, 8\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 12 - 8)*(0 + r + 0)*(-30 + 4 + 68)*(1 - 8 - 2) to the form a*r + s and give a.\nAnswer: 6426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 28. What is the second derivative of 10*j**4 + 19*j + 0*j**r + 5*j**4 wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:41 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:56 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206495, -412987, -619479?\nAnswer: -825971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1509*k + 4 + 0 + 1519*k + 1. Let t be m(-1). Sort -4, 7, t in descending order.\nAnswer: 7, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -1136, -1765, -2450, -3197, -4012?\nAnswer: -4901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 318 + -282. Suppose 14*y - x = 5*y. Calculate the least common multiple of y and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4638569 divided by 234.\nAnswer: 356813\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 5*t. Let v be n(5). Let p = 51 - 6. Let f = v - p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -75, -75, -77, -81, -87?\n\"Answer: -x**2 + 5*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 22681 = -18219. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2693609*-0.3.\nAnswer: -0.08080827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108609000, 108608995, 108608990, 108608985, 108608980?\n\"Answer: -5*b + 108609005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Suppose -v = -i + 4. Let u(g) = 3*g**3 + 5*g**2. Let r(d) = 2*d**3 + 3*d**2. Calculate i*r(a) - 3*u(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -52*q. Let g(d) be the first derivative of d**2 + 725. Give x(g(z)).\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -159*q + 7366. Calculate g(46).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) - 906\/(-10). Let q = w + -221. Let n = 265 + q. Calculate the greatest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100190 is divided by 15493.\nAnswer: 7232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177528900 and 71011560.\nAnswer: 355057800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 32 - 41 = 2*j, 4*j + 2*k + 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321302032 (base 4) to base 11.\nAnswer: -15190a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26584645 + 1.3.\nAnswer: 26584646.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 354*r**3 + 28*r**2 + 549*r - 575. Determine h(1).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4641832 kilometers?\nAnswer: 464183.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 + -96. Calculate the remainder when 53 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 514*x**2 - 18176*x - 64248823 with respect to x.\nAnswer: 1028*x - 18176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42\/168 + (-1579)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((6 - -9 - 13) + -9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Which is smaller: -2\/5 or b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*b + 60 = -3*w, 4*b = -2*w - 8. Find the common denominator of (w\/3)\/(4\/(-27)) and 37\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -8\/5, -455.\nAnswer: -455, -8\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2642.162 - -2638. Let r = 0.24897 - 0.12697. Let u = r + a. What is u rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**2*q**2 - 15*o**2*q - 21893*o*q**2 + 82*o*q + 48*o + 518*q**2 - 3*q + 22 wrt q?\nAnswer: 6*o**2 - 43786*o + 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60446133 to the power of 1\/2, to the nearest integer?\nAnswer: 7775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/(l*l**2*l)*l\/l**4*l**(-5)*l assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21651475*h**2 + 25667342.\nAnswer: 43302950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*m + 29687 = 2488, -3*k + 16333 = 5*m. List the prime factors of k.\nAnswer: 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30741225 and 30741225 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1617837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91842 is divided by 91838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -615*c**3 + 0*c**4 + 62*c + 307*c**3 - 2*c**4 + 10*c + 311*c**3 + 5*c**2 as u*c**2 + p + n*c**3 + i*c**4 + o*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + l - 4*l = -3787, -5*k + 19011 = -4*l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35*18\/4914)\/((-9)\/(-27))\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - 7.93. Let g be (-2)\/(-10)*23 - 294\/(-735). Suppose 5*s - 5 = 0, -4 - 5 = g*x - 4*s. Sort -0.5, i, x.\nAnswer: i, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4, 0*h - 5098 = -2*h + 3*y. Suppose a = 5 - 3. Suppose 0 = -a*w - 614 - h. What is w rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 137233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14238354 divided by 39.\nAnswer: 365086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 9a802?\nAnswer: 9a80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -3\/10 (c) 0.9 (d) -10 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:33 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 179*k**2 - 87*k + 456. Calculate g(90).\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2674284?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064*x = 1068*x + 2*v - 1182, 2*x = 2*v + 588. Is -51 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 3167, 7126, 12669?\nAnswer: 19796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/7, 15, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 416, 618, 818, 1016, 1212, 1406?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 9898533?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 1, f: 7, y: 6, q: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 540906353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-995.\nAnswer: -2985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*j + 1 - 1.\nAnswer: -500*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -1\/9*i**3 + 1\/6*i**2 + 0*i - 9. What is g in x(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2) - (-12)\/4. Let m = f - -15. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w**3 + 3*w**2. Let a(q) be the first derivative of 19*q**4\/4 - 5*q**3\/3 + 66. Calculate 3*a(g) + 5*h(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -48. Suppose 3*b = -2*b + 35. Suppose -2*p + 3*k = -18, b*k - 5 = p + 2*k. What is the remainder when j is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6956?\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 61*j - 42*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z = -1208 + 704 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + o + (3*o - o - 4*o)*(-2 + 3 - 2) + o - 2*o + 0*o)*(o - 9*o + o).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -793 + 797. Suppose -n - 3*n + t + 54 = 0, 5*n - 2*t = 69. Suppose -15 = -q*y + n. Solve -5 = 3*z + 3*f + 4, -3*z = -f - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -49*s + 33. What is o(-1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -919726 and 2?\nAnswer: 919728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.42 (b) 1\/4 (c) -0.3 (d) -4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5079.964 - 5073. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*i - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)\/z)\/(z*z\/z**(-2)))\/(z*z\/z**(-1\/2))**(-4\/21)*(((z\/(z\/(z**1*z)*z)*z)\/z)\/z)**30\/(z**0)**(3\/5) assuming z is positive.\nAnswer: z**(-517\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244351 is divided by 139?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*a - 30. Let m be ((-4)\/6)\/(1\/a). Let k = -6 - m. Solve -k*j + 0*j - 2*f - 16 = 0, 5*j - 4*f + 7 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 80*i + 530. Let w be b(6). Is w at most -387\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, c: 4, n: 1, z: 2}. What is prob of picking 3 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1618188 and -71\/2116092.\nAnswer: 27509196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243*n**5 - 26*n**5 + n + 94 - 19 + 3*n**3 - 153*n**5 - n**3 wrt n?\nAnswer: -8440*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 23*a**3 + 2*a**2 - 2*a + 6. Let y be m(2). Let w = y - 1742\/9. Factor -1\/9*l**4 + 0 + w*l**2 + 0*l + 0*l**3.\nAnswer: -l**2*(l - 2)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -1088, -1850, -2774, -3872, -5156?\nAnswer: -6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-5 - sqrt(28))\/sqrt(4) + -3.\nAnswer: -26*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 19*t**2 + 66*t + 216. Determine h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 1. Suppose 3*q + c = q - d, 0 = -q - 2*d - 7. What is the nearest to -5 in 0.4, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -1646 + 1688 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -14*s + 48 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2459*b - 9771. Calculate v(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3940 - 3903. What is the remainder when m is divided by 9 - (-2)\/(-1) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 0, -3 = 5*p - 5*q + 7. Let h be p\/(-14) + (-843412)\/168. Let r = -5009 - h. Find the common denominator of r and -38\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/3 + d**2 - d - 4. What is the tens digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/360 + 1\/40. Let o = 1371 - 1372. Which is the nearest to o? (a) 3 (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*1\/(-4)*(-48)\/(-56)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327042153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -7.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10270678.\nAnswer: 2, 11, 19, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*m = 530*m + 5*a - 42, 2*m + 4*a - 38 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78197.92mg to kilograms.\nAnswer: 0.07819792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 6, e: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2954 or -3621?\nAnswer: -3621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let i(s) = -19*s**2 - 8418 + 8418 - 11*s**2. Determine i(q(t)).\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 4920*c + 44604 = 0. What is c?\nAnswer: -9, 1239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622819 is divided by 8650?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13842?\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20482.923295 - -20483. What is x rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, 1\/4, -1\/6, 3\/94, 4\/3, -1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 8. Let q be v(-6). Is ((-20)\/(-30))\/(q\/(-159)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5256592, 5256594, 5256596, 5256598, 5256600?\nAnswer: 5256602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 12, -5*u = -3*t - 339. Calculate the common denominator of 2\/u*(-30)\/(-4) and 2 + (-4 - (-140)\/88).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*a - 46 = 0. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j + 57. Let i be v(4). Suppose w - 280 = 5*b - 1136, 0 = i*b + w - 854. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 13\/2. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2\/5 + 586312*n\/5 - 21485110084\/5 = 0.\nAnswer: 73289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h\/(h*h\/(h*h**6))*h*h*h*h\/h**(-4)*h*h*h**(-1\/9)\/h*h*h\/h**(1\/4) assuming h is positive.\nAnswer: h**(671\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1979\/7098 + -7\/1014. Which is the second biggest value? (a) m (b) -1\/15 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -1019 + 3123. Let m = n + 2639\/5. Let -27\/5*b**3 + 24\/5*b + 12\/5 - m*b**2 = 0. Calculate b.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(-1\/10)*h)))\/h**(-1) assuming h is positive.\nAnswer: h**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 - 962451*g**3 + 80785650*g wrt g.\nAnswer: -24*g**2 - 5774706*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.2 in -115, 0.41, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l = -20, 0 = 4*n - 4*l - 26256. What are the prime factors of n?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*p**3*q*u**2 + 398*p**3*u**3 + p**2*q*u**2 - 4*p**2*u**3 + 11*p**2*u**2 - 2*q + 4*u**3 wrt p.\nAnswer: 354*q*u**2 + 2388*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:10 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 171, 351, 603?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(-3 + 175\/60). Suppose -9*d = l*d - 7749. List the prime factors of d.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 147\/2 - 1\/4*r**3 - 2*r**2 + 35\/4*r = 0. What is r?\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2618763\/88 - -29758. Let i = h - -6\/11. Let k = -5331\/85 - -313\/5. Which is the second biggest value? (a) i (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/6 + -3 + 1. Let r be 2 + (-4)\/(-5) - (-11 + 1003\/85). Solve -14 + z = -r*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4138263*x**2\/4 + 344934*x + 105\/4.\nAnswer: 3*(3*x + 1)*(459807*x + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or 9?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-26))\/(3\/(6\/(-1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 216*x + 2508. Calculate o(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-24) + (-9)\/(-4). Suppose 0 = p*t + 18 - 6. Let d(a) = -a**2 - 7*a - 4. Give d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-7)*v)*v**(-2)*v*(v\/(v*v*v\/((v**1\/v*v)\/v)*v))**(-36) assuming v is positive.\nAnswer: v**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, u: 2, y: 7}. Give prob of sequence ynyn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsuatis. Give prob of picking 2 a and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2394, -0.1, 25, 0.4, -1\/5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714 and 886788.\nAnswer: 886788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(k**2 + 0*k**2 + 0*k**2) + (-11*k - 4*k + k)*(-5 - 3*k + 5).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/12*q**5 + 5\/6*q**2 + q**4 + 0 + 0*q + 7\/4*q**3.\nAnswer: q**2*(q + 1)**2*(q + 10)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -17. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*g**3 + 1272*g**2 - 4973*g + 21?\nAnswer: -282*g + 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -39. Let x(k) = k**3 + 3*k**2 + 3*k - 14. Is x(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v - 16. Let q(i) = -6*i + 16. Let r(n) = -3*j(n) - 4*q(n). Let h(z) = -z + 3. Give -22*h(k) - 4*r(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 786 (b) 906 (c) -3\/7 (d) -3 (e) -1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136)*-2*-1 + sqrt(136)))\/((-1*sqrt(96)*-1)\/sqrt(12)).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 1321012*y + 436268176036.\nAnswer: (y + 660506)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -1.3. Suppose 2*h + 2*j + 5 = 3*j, h = 5*j + 20. Let d = -3.31 - -2.31. Which is the second biggest value? (a) h (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:32 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -2, -56, 78.\nAnswer: -56, -40, -2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 3588 = 26*h. Is (-38)\/(h\/(-1545) - 6\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + w = 11, 0 = -635*l + 640*l + 4*w - 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53957151 - -33861151. What is p rounded to the nearest 100000?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4474)\/((-35)\/(105\/6)). Solve 0 = n*m - 2236*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, b: 3, y: 1, r: 3}. What is prob of sequence bblr?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 2502867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421442054 (base 6) to base 14.\nAnswer: -d98bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 9, y: 10}. What is prob of picking 2 y and 1 d?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 + (4 - -3) - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -8 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**3 - u**3 + 2*u**2 + u**2 - 5*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j**2 - 63*j + 4. Let r be z(4). Suppose m - 4*m - 18 = 0. Let l = r + m. Put -3, 4, l in decreasing order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 2163605?\nAnswer: 2163610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 115006463 a multiple of 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/312 and (5\/455)\/(468\/(-637)).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + g - 3. Is v(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16131\/2548 + -165\/26. Is h bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 285 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/10)\/((-5)\/(-20)). Suppose -m + o = -49, -z*o + 92 = 2*m - 2. Let x = m - 42. What is the least common multiple of 61 and x?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200580220 to the nearest one hundred thousand.\nAnswer: 200600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2 - 2)*(-2530*t - 2526*t + 5055*t - 28).\nAnswer: -t**2 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k + 167. Let b be h(9). Suppose y + 5*u = -0*u - 4, 1 = -y - 2*u. Suppose 0 = 4*d - 21 + y, -b*d + 25 = z. Solve z = 4*l - 1 - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose 76*f = -0*f + 35*f + 820. Suppose 0 = -5*o + t + 98, 0 = 2*o - t - 6 - 32. What is the highest common divisor of f and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (1 + sqrt(343) + -2))*-3)**2 - 6*(sqrt(343) + sqrt(343)*2*5 - sqrt(343))**2)*1.\nAnswer: -205791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-30)*((-450)\/(-1))\/30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6694177.\nAnswer: 7, 956311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j)**(-21)*(j\/(j\/(j*j**(-1\/2)))*j)\/j**(-3\/5) assuming j is positive.\nAnswer: j**(441\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -w - 5*w. Let y(f) be the first derivative of 0*f**2 - 1\/3*f**3 + 2*f**4 - 2 + 0*f - 16\/5*f**w. Let y(j) = 0. Calculate j.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -0.11 (c) 2\/15 (d) 2 (e) -0.109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117732756 to the nearest integer?\nAnswer: 10850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37426746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.4 + 1.6. Let o = 8.99999997 - s. What is o rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let r(m) = -7*m - 2. Let a be r(-2). Suppose -3*z + a = -0*t - t, 2*t - 8 = -2*z. Let d(n) = t*n + 3*n + 0*n. What is u(d(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/c)\/(c**5*c)*c**(-2\/13)*c**(-5) assuming c is positive.\nAnswer: c**(-67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 637*r + 39572. Calculate i(-62).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 9. List the prime factors of (-6 - -24)\/((-3)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20 = -6*n, -4*l - 12 = 5*n. Suppose -l*w - 23*w = -75. Solve -3*g + 18 = -2*y, -4*g - 5 = -w*g + 3*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93036 is divided by 2215.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 53*g**3 + 3*g**2 - 33*g + 120. Is u(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**3 + 114*f**2 + 165*f + 46. Let d(i) = -i**3 + 28*i**2 + 41*i + 12. Let o(h) = -26*d(h) + 6*j(h). Determine w so that o(w) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2242 - 27*f**2 - 1122 - 1120 - 9*f**2.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/(-12))\/(117\/(-78)). Which is the nearest to -1\/4? (a) -2\/5 (b) -2.67 (c) -3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 + 61?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -804?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 2861*(-4 - -3). Suppose 780 = -4*v + q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 8*y - 9*y)*(y - 2*y + 5*y + (4 - 1 - 2)*(-2*y + 1 - 1))*(-5*y + 3*y + 0*y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 plus 6877513.3?\nAnswer: 6877549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*p - 13. Let g be (-1 - -4)*80\/24. Calculate the highest common factor of g and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -1. Let b be (-2)\/o + 4\/(-10). Let a = b + 18. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnsnnckccnkcnccnnn. Give prob of picking 1 k and 1 s.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(49) - sqrt(49)*1*-2)\/(sqrt(21)\/(sqrt(9)\/sqrt(3)))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-17))\/((-465)\/(-23715))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 44919 = 11*f - l, 3*l = -4*f + 35920. Is 125 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let j be (1\/3)\/((-4)\/(-36)). Suppose -4*v - 8 = 0, -14 = j*d - 5*d - v. Let m(q) = -2*q**2 - 8*q + d*q. Calculate m(i(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007.6 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -5*x**3\/3 - 16*x**2 - 9*x - 47. Let i(w) = -1. Let t(g) = -2*a(g) - 6*i(g). Factor t(o).\nAnswer: 2*(o + 6)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 4\/3*y**3 + 0 + 3\/10*y**5 - 6*y + 0*y**4 + 0*y**2. What is the second derivative of l(p) wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1727085*s**2 - s + 2. Let u(i) = 5*i. Give u(f(z)).\nAnswer: 8635425*z**2 - 5*z + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 410321233?\nAnswer: -410321233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 greater than 716865\/724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28\/(-266) - (-492513)\/133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rij when three letters picked without replacement from ijrcvviirjrqirq?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3225\/18 + 4\/(-24). Suppose -4*r - v - 41 = -3*b, -2*r = -b + 72. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -410\/3 - -138. Let f = -3 + 2.6. What is the second biggest value in b, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 1656\/19?\nAnswer: 1656\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24122239.34 rounded to the nearest 100000?\nAnswer: -24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6068 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39603 (base 13) to base 15\nAnswer: -21833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2. Let b(y) = -6*y - 21 + 21. Determine k(b(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485 = 9*i + 413 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1043.75 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p. Let m(h) = -3*h**2 - 7. Let l(i) be the first derivative of -5*i**3\/3 - 6*i + 13. Let b(o) = 7*l(o) - 6*m(o). What is b(q(t))?\nAnswer: -425*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62869?\nAnswer: 62869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-3267)\/(-44))\/11)\/(6\/1088). Let a be 3\/(-30)*6 - s\/(-990). Factor 6\/11 + 1\/11*q**4 - a*q**2 + 5\/11*q - 5\/11*q**3.\nAnswer: (q - 6)*(q - 1)*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -2. Let p = -0.4 + k. Let f be ((-8)\/6)\/(2\/6). What is the nearest to -1\/2 in 2\/7, f, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(320) + 1 - sqrt(320)) + (1 + -2*sqrt(320) - 1*sqrt(320)*2) + 2)**2*-4.\nAnswer: -20496 - 512*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -30.736. Let u = -0.734 - s. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 16*p + 50. Let w be l(4). Which is the nearest to -1\/3? (a) 1\/3 (b) -0.15 (c) w (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/4 - 1341*z**4\/2 - 69089*z**3\/4 - 21370*z**2 + 1440096*z + 1444864 = 0.\nAnswer: -2656, -17, -16, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20\/31 (b) -7 (c) -4\/3 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 46 = -4*f + 98 - 68, -2*d + 6 = -0*d for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 63, 97, 165, 279, 451?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i**2 - 11*i - 11. Let y(d) = 3*d**2 - 4*d - 4. Let o(x) = -4*n(x) + 11*y(x). Let l(r) be the first derivative of r**2\/2 + 2. Calculate o(l(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -8) + 1 + 3. Suppose 5*k = -3*x - x + 43, -w = 4*x. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (84\/(-126))\/((4\/1902)\/(-1))?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 - n + 11. Let k be i(7). Suppose 0 = k*w - 21 - 15. What are the prime factors of -33*(32\/(-12) - (-6)\/w)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:50 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 427, 391, 307, 175?\n\"Answer: -24*g**2 + 36*g + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 24. Let d = n + -31. Which is the biggest value? (a) d (b) -1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18780*160\nAnswer: -3004800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 12*v + 19. Let q be r(5). Let l(a) = -11*a + 15. Let y(j) = -7*j + 10. Let o(i) = -5*l(i) + 7*y(i). Determine o(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcf when three letters picked without replacement from cffchffhhfhcf?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.697907 nanometers to millimeters.\nAnswer: 0.000005697907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 6, -0.01?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7154688.5 rounded to the nearest ten thousand?\nAnswer: -7150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 390?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183986 to the power of 1\/2, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 10*d + 12. Let h be l(-9). Solve h*j = -j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/11)*m)\/(m**3*m)*((m**3*m)\/m)\/(m\/(m*m\/(m*((m*m**(-4))\/m)\/m))))\/(((m\/(m**(1\/6)*m))\/((m**(-1\/4)\/m)\/m))\/(m**1\/m)**33) assuming m is positive.\nAnswer: m**(361\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -598, 5, 2 in ascending order.\nAnswer: -598, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93189*f**2 - 107512*f wrt f.\nAnswer: 186378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 208, 314?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-306)\/(-81) + -4 - (-4)\/18. Suppose f = 16*p + 14317 - 226973. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*v**2 - 16*v**2 - 18*v**2 - 32*v**2 in the form q*v + g*v**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 104*w**2 + 97*w + 288. Calculate q(-3).\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -492*q + 483*q - 27. Let p = -6 - -5. Let a(f) = f**3 - 6*f**2 + 7*f - 6. Let c be a(5). Sort c, p, q in decreasing order.\nAnswer: c, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -199*g**4\/2 - 230*g + 24. Differentiate k(i) with respect to i.\nAnswer: -1194*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524452 (base 12) to base 5\nAnswer: 312340212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 10, 17, 24, 31, 38?\n\"Answer: 7*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z)**(-2\/21)*z*z\/(z*z\/z**6)*z\/z**(-1\/7) assuming z is positive.\nAnswer: z**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -45 (b) -2\/9 (c) 2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 26*l - 23. Let f be v(-12). Let z(t) be the second derivative of 1\/2*t**2 + 1\/10*t**5 - t + 0*t**4 + 0 - 1\/3*t**3. Calculate z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*z - 130 = -561, -3*s = 4*z - 433. Suppose 5*u + s = 2*x, -x + 0*x + 86 = -5*u. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**5 - 629354*l**4 - 3042442*l**2 wrt l.\nAnswer: 360*l**2 - 15104496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15388 < -15342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1301 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -10*n - 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77032.\nAnswer: 2, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -2145 in descending order.\nAnswer: 7, 0, -2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/4, 0, -24, 2\/5, 53\/5 in decreasing order.\nAnswer: 53\/5, 2\/5, 0, -3\/4, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 - 5*w. Let l(b) = -6*b**2 - 6*b. Let s(n) = -4*l(n) + 3*u(n). Factor s(i).\nAnswer: 3*i*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/10)*h\/(h*((h\/(h\/((h**3*h)\/h*h)))\/h)\/h)*h**(1\/20)*h\/((h**(4\/7)*h)\/h*h) assuming h is positive.\nAnswer: h**(-339\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.3 (b) 3\/5 (c) 2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 20*n**2 - 2*n - 6*n + 7*n + 4*n**2. What is the units digit of g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 4. Let b be u(-3). Factor -8*n**b + 5*n**2 + 2*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165.4 - -166.1. Which is the nearest to -1? (a) 34 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-36)\/(-15)) - 2\/(-12). Let m(g) = g**2 + 8*g + 5. Let i be m(-5). Let h be (i*3\/(-6))\/f. Solve -4*o + o = 15, 5*r - 2*o = -h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = 41. Let p = -41 - s. Is 44\/9 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13874*g**4 + 29737*g**3 - 212*g - 95497 wrt g?\nAnswer: -166488*g**2 + 178422*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 = 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 35434*j - 248032. Calculate t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 8*o. Let c be n(4). Suppose c = 2*d + 2*d. What is the lowest common multiple of 88 and d?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91272 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b**6))\/b*b**(-4\/5))\/((b*b\/b**(-3)*b)\/(b**(-2)*b)) assuming b is positive.\nAnswer: b**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38198096 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1500\/(-16)*(-28)\/7. Let w = 555 - v. Suppose -16*b + w = -11*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(4\/48). Find the third derivative of 2*l**3 + 3*l**2 + 15*l**p - 11*l**6 - 2*l**3 wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 162103551 and 5.9.\nAnswer: 162103556.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/(-1 + (-12)\/(-20)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 588526\/3116855 - 41\/5719. Let f = 2\/109 + y. Which is the nearest to -1\/3? (a) 3 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/3 + 85*h**2\/3 + 44*h\/3 - 43\/3 = 0. Calculate h.\nAnswer: -1, 1\/2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**2 + 4*x + 3. Is p(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 u when four letters picked without replacement from {o: 4, n: 1, t: 6, u: 3}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/20 - 5*a**4\/12 + 5*a**3\/6 + 3*a**2\/2 - 2*a. Let c = 4 - 0. What is the units digit of k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 36. Let d be x(8). Let h(s) = s**2 - 5*s + 4. Determine h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -808 (base 13) to base 16.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 2, d: 2, o: 2}. What is prob of picking 1 o and 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -1\/12*u**4 + u**3 - 5*u - 1\/2*u**2 + 0. Calculate a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 - 4867*r - 90 + 0 + 20921*r as u + o*r and give o.\nAnswer: 16054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w + 1. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/4 + 139*o**4\/4 - 3507*o**3\/4 - 91827*o**2\/4 - 110214*o - 150579 = 0.\nAnswer: -11, -3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0341 - 0.034397. What is f rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2*t + 3648*s**2 + 2*t**2 wrt t.\nAnswer: -2*s**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/25600 and 77\/1785360.\nAnswer: 571315200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -105, -224, -401, -642, -953, -1340, -1809?\n\"Answer: -q**3 - 20*q**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -8 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3948, 3949, 3950?\nAnswer: 3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:27 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + r**4 + 2 + 956052*r**3 - 956051*r**3 - r**2 - 31*r to the form x*r + l*r**3 + j*r**4 + g + m*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 - 15*b + 5*b**2 + 2 + 1 + 0*b**2. Let y be u(-15). Solve 2*l - 2 = -a - 0*l, -y*a - 2*l = 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/20)\/((-6)\/(-50) - 0). Suppose w*i - 62 = -32. What is s in 16\/3*s**i + 0 - 8\/5*s**2 + 0*s + 14\/15*s**4 = 0?\nAnswer: -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**2 - 570*a + 4. Let w(t) = -t**2 + 4*t + 1. What is -h(l) + 4*w(l)?\nAnswer: 3*l**2 + 586*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 y when four letters picked without replacement from qxxxxqqyyxq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12375 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -31*t**4\/12 - 531*t. Let i(o) = 21*o**2. Calculate f(i(u)).\nAnswer: -13671*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b975b (base 16) to base 5.\nAnswer: -1212404140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*q - 47, 8*q = 5*j + 3*q - 65. Let r = 215 + -89. Calculate the greatest common factor of r and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:47 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225401*g = -225478*g + 2926 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*s**2 + 2*s**3 - 4 + 11*s**2 - s - 4*s**3 + 0*s + 8*s**2 to the form z*s**2 + t*s + b*s**3 + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927, -3704, -8331, -14808, -23135, -33312?\nAnswer: -45339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -4.\nAnswer: 315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxa when three letters picked without replacement from axxqaxxxxaxxaxxaaaaa.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = i, k + 25 - 10 = 2*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16548 and 1578?\nAnswer: 4352124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001110 + 11011010011000101100?\nAnswer: 11011010011110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10896078 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t + 420 = 368 + 1547 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 597 + -1195\/2. Calculate the common denominator of 43\/112 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let w(b) = b**2 - 36810*b. Give w(v(t)).\nAnswer: 16*t**2 - 147240*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4a33 (base 14) to base 5\nAnswer: 403411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 744*q**3 + 440293*q**2 - 1287403519*q wrt q.\nAnswer: 4464*q + 880586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114.39 + 117. Let s = o - 2.5. Let k = 0.31 - s. Which is the closest to 0? (a) k (b) -2\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19397 and 482154.\nAnswer: 3375078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21225.04319 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -10)\/((-2)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*l - 23, l - 5*l - 2 = 2*s. Let f = -5 - -5. Find the third derivative of -m**4 - m**l + f*m**4 + 3*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2\/2 - 2. Let y be v(2). Suppose y*t - 1 = -5. Is t < -12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:00 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(99))\/(sqrt(144)*4) + 2.\nAnswer: -3*sqrt(11)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x**2. Let l(g) = -1 - 10*g - 3*g - g**2 + 9*g + 2. Let a be l(-3). Let u(y) = -a*y + 1601 - 1601. What is f(u(h))?\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1664947 or 1664948?\nAnswer: 1664947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 519*u\/2 - 260.\nAnswer: (u - 1)*(u + 520)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 99355*i + 893790 = 0. Calculate i.\nAnswer: 9, 19862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7396 - -721. Let p = 8248.0684 - x. Let c = -131 + p. What is c rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/75)\/((-15)\/25*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04506 * -65.\nAnswer: -67.9289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**3\/q)\/q)*q\/(((q\/(q*q\/(q*(q*(q\/q**(2\/9))\/q)\/q)))\/q)\/q))\/((q**(-2\/3)*q)\/q**(-1\/7)))**(10\/9))**(2\/13) assuming q is positive.\nAnswer: q**(3460\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -5 (b) -2 (c) 4\/5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12666*s**2\/7 + 50668*s\/7 + 16\/7.\nAnswer: 2*(s + 4)*(6333*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.6. Which is bigger: f or 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -20*f + 11*f. Let a be f\/(120\/(-66)) - (-3)\/(-4). Solve -16 = 6*h + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81027430 to the nearest ten thousand.\nAnswer: 81030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-15 - (31 + 12 + -15))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.27, 74, -1\/9.\nAnswer: -1\/9, 22.27, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -56. Suppose -z + v = 2. Suppose 0 = -3*d + 4*u + 469, -d - 4*d + z*u + 767 = 0. What are the prime factors of d?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 21 - 25. Suppose 0 = r + 4*r - 320. Let p = r - t. Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*j - 27 = 387*j - 97. Let f(z) be the first derivative of 0*z**j + 0*z + 19\/4*z**4 + 22 - 5\/3*z**3. What is the third derivative of f(a) wrt a?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2710, -5, -93, -4.\nAnswer: -93, -5, -4, -1, 2710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/40 + m**5\/60 - m**4\/6 + 13*m**3\/6 - 205*m**2. What is the hundreds digit of a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1064 - 1060 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 3 - 10*y - 3.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b*b*b)**(-4) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: (-2 - -3) + 0 - (7 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:45 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/4 - 11635*k - 470912265\/4.\nAnswer: 5*(k - 15417)*(k + 6109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.66 - 7.06. Let v = f + -87. Let h = v + 10. Which is the second smallest value? (a) h (b) -2\/3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20109697 to the nearest integer?\nAnswer: 4484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 5. Let c be p(-4). Let o = c + -4. Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 23 = 34. Let y = t + 29. Let a = y + -4. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32646342 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + 2)*5761\/21*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 6, m: 2, l: 2, t: 1}. Give prob of sequence li.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + -382?\nAnswer: -34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 - 151. Suppose -2*v = 4*s - l*v + 1, -s = 2*v + 3. Is s at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 26. Give d(-15).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 53*r - 11429. Calculate x(-83).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-29)\/r)*r**(-32))\/(r*(r**(-6\/25)\/r*r*r)\/r*r**(9\/2)\/r) assuming r is positive.\nAnswer: r**(-263\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4156 (base 7) to base 16.\nAnswer: 5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 7*r + 8. Let z be o(-6). Let m(a) = 3*a**2 - a - 2. Let t be m(z). Which is greater: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -20. Find the second derivative of 2*q + 6*q**3 - 16*q**3 + 2*q**3 + n*q**3 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034818 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 4*v + 24. Let u be 106\/22 - v\/(-44). Solve -2\/3*t**u + 8\/3*t**4 + 8\/3*t**2 - 4*t**3 - 2\/3*t + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j + 2. Let c be n(0). Suppose 0 = -g - 4*g + 10. Find the second derivative of -c*p + 4*p + 3*p**g - 2*p**2 wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11980, 20628, 29276, 37924, 46572, 55220?\n\"Answer: 8648*b + 3332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1. Let i(l) = -25*l + 7. Let w(h) = -9*h + 3. Let c(x) = -4*i(x) + 11*w(x). Determine 3*c(b) + 15*t(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) - 274\/(-8). Suppose -4*n = -10 + j. Calculate the common denominator of -13\/11 and (-2)\/n*(52 + 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 137475547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 54 = 3*p - 67, 0 = 2*p + 5*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 268379650 to the nearest 10000.\nAnswer: 268380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -446149.864?\nAnswer: -223074.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 16*i - 51*i + 103 as c*i + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 14369.\nAnswer: 57\/14369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2*4 - (-35 + 2). Let q(b) = -2*b - 14. Let m be (14\/4)\/((-2)\/4). Let t be q(m). Solve 7 = -z - 0*z + p, -2*z + 5*p - u = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2105, -1\/4, 47\/3.\nAnswer: -1\/4, 47\/3, 2105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 1 - 1)*(6*n + 18*n - 4*n - n) as t + v*n + a*n**2 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13.3*-0.0391\nAnswer: -0.52003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 27 = i, 4*z + 31 = 178*i - 181*i for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.24 and -54686815.\nAnswer: -54686814.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**2 - 5*q + 2. Calculate the smallest common multiple of 8 and m(-2).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhkd when four letters picked without replacement from {h: 3, k: 13, d: 1}?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67223 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/3 + 28\/(-21). Let h = y - -32. Calculate the greatest common factor of h and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*x - 5*x = 29, 4*v + 2*x = 4. Solve 0 = i + v*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-91)\/(-52)*4\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 18, 0, 2 in descending order.\nAnswer: 18, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 3, 3*l - y - 21 = 8*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -106. Suppose m*b = -2*n + 215, n - 421 = -3*n - b. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + t - 6*t = -35, 2*u - 2*t - 6 = 0. Let n(f) = 2*f - 1. Let x(p) = 3*p - 1. Let c(j) = 2*j. Let i(o) = -c(o) + 2*x(o). Calculate u*n(k) - 3*i(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0251957569 rounded to 5 dps?\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1928 by -4.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 96*d**2 + 3. Let s be i(1). Let m = 62 - 53. What is the highest common divisor of m and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268814146 is divided by 3287.\nAnswer: 3286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241 - 87. What is the second derivative of 26*f - s*f**4 - 23*f - 71*f wrt f?\nAnswer: -1848*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/8*f**4 - 1\/30*f**5 + 0*f + 2*f**2 + 0 + 0*f**3. Let t(g) = g**2 - 7*g + 9. Let c be t(6). Give d(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*f + 0)*(1 + 2*f - 1) + (4 + 1 - 3)*(2 - 2 + f**2) + 9961*f + 145*f**2 - 9961*f.\nAnswer: 139*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 10*d. Suppose d = -q - t + 1, -5*q + 0*t - 2*t = -2. Suppose -5*n = -9*n. Solve -2*c - 8 + n = q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 280.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**7\/2520 - c**6\/540 - c**5\/90 + c**4\/9 - 47*c**3\/3 - 7. Let j(t) be the third derivative of m(t). What is a in j(a) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.17 + 0.17. Which is the nearest to -1\/3? (a) -2\/9 (b) n (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046919 to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -0.5, 3\/5, 1.61, 0.4, 3.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*s = -354*s - 512. Let y(k) = k. Let w(q) = 12*q - 9. Let x(j) = w(j) - 5*y(j). What is the tens digit of x(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 + 3 - 6) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6178.8 times 0.2?\nAnswer: -1235.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/61154 and 85\/11444.\nAnswer: 349923188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 39. Let u(z) = -3*z + 26. Let f(y) = -5*t(y) - 7*u(y). Determine f(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95714932 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.6.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/9042 and 17\/68990.\nAnswer: 311903790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-124)\/(-341)*(-11)\/(-2). Solve 1 + y = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.5 + -22. Let v = -9 - n. Let d be (-2)\/(-1) - (-4)\/(-3). What is the third smallest value in -1\/2, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 + 0*c**2 + c - 100 + 10*c**2 to d*c + w + y*c**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1046 + -1048. Sort 1\/5, 1.2, 0.3, u in decreasing order.\nAnswer: 1.2, 0.3, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*q + 4*h, -6 = 4*q + 593*h - 590*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 302?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3133 or 3167?\nAnswer: 3167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b*b**(-6)*b))**(-11) assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2284*q - 47. Let x(b) = -6854*b + 129. What is -11*k(g) - 4*x(g)?\nAnswer: 2292*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let k(u) = 3*u - 5. Let z(c) = 8*c - 37. Let w(j) = 4*j - 18. Let h(p) = -11*w(p) + 6*z(p). Let n be h(7). Let o be k(n). Determine r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1\/3)*x*x**1*x**(2\/11)*x*x\/(x*x**9)*x assuming x is positive.\nAnswer: x**(-137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 630 = -27*r + 3*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/4159 - 195467\/24954. Calculate the common denominator of q and 4\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13935 greater than 13796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f\/(f*f*f*f**(-1)))*f))**(1\/95))**(1\/5)*(f**(2\/17)*f**(-1\/5)*f)\/((f**(-3)*f)\/f*f**(1\/6)*f) assuming f is positive.\nAnswer: f**(133183\/48450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 19. Suppose -p = -f + 5, 3*p = 8*p. Suppose d = f*w - 0. Solve 2*y + 3 = w*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.323 in -3, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4151436?\nAnswer: 4151436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10929280 times 7?\nAnswer: 76504960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 93*k + 1472. What is g(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -424973, -425042, -425111, -425180, -425249?\n\"Answer: -69*c - 424904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242175 is divided by 48432?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -176, 0.03, 2 in ascending order.\nAnswer: -176, 0.03, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.82 - 10.34. Suppose 3*l = -5*l - 16. Put 1\/3, -1\/2, b, l in descending order.\nAnswer: 1\/3, -1\/2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*d - 30 = 0, -3*m + 16 + 5 = -2*d. Solve 23 = m*y + 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 286 + -283. Suppose 3*y - 808 = 2*k, -y + 5*k + 264 = t*k. What is the greatest common factor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 866, 1308, 1766, 2246?\nAnswer: 2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 11\/4)*92 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and -2.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/120 - 19*l**4\/12 + 6*l - 4. Let r(i) be the third derivative of b(i). Let f(d) = -7*d - 3. Determine -f(v) + 3*r(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/9)\/((-6)\/90). Let m(n) = -n - 5. Let l be m(-6). Which is the biggest value? (a) -1\/9 (b) 9 (c) l (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.66 + -3.42. Let p = y - -0.08. What is the smallest value in p, -1\/2, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19071231 divided by 9?\nAnswer: 6357077\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/((-9)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 4. Let a(g) = 34*g - 2025. Give -a(v) + 6*z(v).\nAnswer: 2*v + 2049","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 729946253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2*-6*1)**2 + -1*sqrt(176)*5*-2.\nAnswer: 40*sqrt(11) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, q: 9}. Give prob of sequence bqq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1069.62 - -181347316\nAnswer: 181346246.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1. Let i(a) = -12*a**2 + 9. What is -4*i(j) + 36*t(j)?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 0*z)*(0 + 2 + 1) + (-z + 6*z - z)*(-1 + 5 - 3).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13045 - 8505. Is 4540 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc (base 16) in base 3?\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 142. Let a(q) = -q - 3. What is 3*a(s) + h(s)?\nAnswer: -s - 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686895.\nAnswer: 3, 5, 11, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -0.384 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 2*f - 1. Let w be x(-1). What is the derivative of 6 - 3*u**3 - u**3 - 4*u**w + 3*u**3 wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93.347 + 93. What is l rounded to 2 dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-14))\/u**(1\/3))\/(u*u**(-8\/3)*(u\/(u**(-8)*u)*u)\/u*u) assuming u is positive.\nAnswer: u**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5517 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -445230 - -4?\nAnswer: -445222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 17. Suppose c*x = 4*x + 3. Let i(g) = -5 + 0*g + 5 + x*g. Let b(v) = v. Give b(i(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**5 + 9*s. Let h(f) = 2*f**5 + 8*f + 1. Let v(m) = -4*h(m) + 3*j(m). Find the second derivative of v(y) wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 9. Let u(x) = 4*x - 2. Let f(c) = 5*c + 6. Let i(k) = -f(k) + u(k). What is 5*i(o) - 4*j(o)?\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 413\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.6917655 to two decimal places.\nAnswer: -11.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -8*f**3\/3 + 11*f**2\/2 - 2*f + 12. Let h(y) = -3*y + 2. Determine 11*h(i) - 2*n(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 516 = -596. Suppose -2*z + 20 = 3*z. Put z, -6, s in decreasing order.\nAnswer: z, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -85 (c) -4\/35 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1029)\/(-3)*(11 + -9) is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f + 1. Let j(i) = -40*i**2 - 35*i + 35. What is -4*j(l) + 140*n(l)?\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 0*x = 6*k + 2*x + 3*x + 139, -13*k + 4*x = -237 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 1. Let g be v(2). Let n be 0 + g + 0 - -1. Suppose 6*i = 3*i + 6. Solve n = i*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c + 5. Let q be o(4). Suppose -b + 5*g - q = 0, -b - 8*g = -11*g + 9. Solve -4*h + p - 17 = 0, h - 4*h + b*p = 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 27*l + 94. Let v be g(7). Is 328 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10511\/9 + -1169. What is the nearest to f in 0.4, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5450*j**2 - 9*j + 10. Is 113 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31754155 is divided by 15877038.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17581345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q - 22*q**2 - 28*q**2 - q**2 - 2*q**3 + 15*q + 92*q**2.\nAnswer: -2*q**3 + 41*q**2 - 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1776, -3822, -6386, -9720, -14076, -19706, -26862?\nAnswer: -35796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 6\/(-15) + (-11376)\/(-90)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inyjninnnnnnkirj. What is prob of sequence kny?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 421763*t + 339175 wrt t?\nAnswer: 421763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 3 - (6 - 7). Let b be c*4\/32*2. Let t = 5 + -6. What is the biggest value in t, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:21 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 11*z - 23. Give o(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)*(8\/(-4) - 1). Let v be 0 + 0 + p + 1. Which is the smallest value? (a) 3\/7 (b) 1\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*j**3*l + 2976289*j**3 - 1595*l**4 + 2*l**2 wrt l?\nAnswer: 47*j**3 - 6380*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1726154 divided by -1726154\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 441 + -417. Let h(x) = -x**3 + 25*x**2 - 10*x + 43. What is the hundreds digit of h(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/75)*r\/(r**(18\/5)*r) assuming r is positive.\nAnswer: r**(-272\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -388 - -392. Put 30, -1, m, 2 in descending order.\nAnswer: 30, m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 1, o: 1, z: 2, q: 2, g: 1}. Give prob of sequence jtgq.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 40. Let z be -6*2\/4 - -55. Let n be (-4)\/(-14) - z\/(-14). Solve 0*h = n*h - r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -233118.\nAnswer: 1\/77706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686296277.\nAnswer: 3, 73, 2566661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1879020\nAnswer: 1879020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let v be ((0\/(-4))\/(-4))\/(-1). Let r(n) = -n + 5*n + v*n - n. Determine l(r(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219956 a multiple of 762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -3 + -4 + -1 + (sqrt(720) + (((sqrt(720) + sqrt(720)*-4)*-4)**2 + sqrt(720) - sqrt(720)))*-4.\nAnswer: -414728 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 410.8409\nAnswer: -20.542045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11452 and 8180?\nAnswer: 57260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.085582 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (35 - 1)*-1)*1. Suppose -i*y + 40*y = -402. Let l = 414 + y. What are the prime factors of l?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -2.06. Let o = 982.3 + -982. Which is the fourth biggest value? (a) o (b) x (c) -1\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(3*3\/(-15)). Let c = 2 - 1.5. What is the biggest value in c, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28471208 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259074853?\nAnswer: 259074853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.494 + -0.506. Which is the second biggest value? (a) k (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -39. Suppose -8 = 3*g - d*g. Solve 2*i = -5*z + 24, -g*i + 4*z = z + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (6 - 2)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((1 - 0)\/24). Suppose -2*j - 3*x = x - 4, 3*x = j - f. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177895591 and 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1417515858 divided by 3\nAnswer: -472505286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -190*p**2. Let z(x) = 3*x**2. Give z(k(d)).\nAnswer: 108300*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8 (b) -326 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 191 + 199 - 580 + 190. Let y(w) = 2917*w. Determine s(y(n)).\nAnswer: -8508889*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.941 - -4.59. Let u = l + -0.049. Which is the nearest to -1? (a) -0.3 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + -16 + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -4a?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4459 = -3*r - 10*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 56*f**3 - 8*f + 17*f.\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixpi. What is prob of picking 2 i and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151570 is divided by 73921?\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 15*s - 36. Let x be d(12). Let i = -86 - -104. Sort i, x, -1 in increasing order.\nAnswer: -1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 15) to base 2\nAnswer: -1110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2674501*q**4 + 2*q**2 - 7030668 wrt q?\nAnswer: 10698004*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -137) + -137 + (4 - 8 - -3) + -85.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3 + 18*a**2 + 27*a + 12 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*p - 15*p - 102088. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdcs when four letters picked without replacement from {d: 7, r: 1, c: 3, s: 1}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 11:07 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 36*k - 80.\nAnswer: 2*(k - 2)*(k + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451502?\nAnswer: 2, 225751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 + (27 - 18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4552175\nAnswer: -4552170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1217 in 2654, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 2*b - 46, 5*b = -4*d + 171. Calculate the remainder when 118 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/159158715 and 43\/318317430.\nAnswer: 318317430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 - 166 = 5*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 30*x**3 + x**2 - x. Let k be q(1). Let i = k + 2. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 2*v)*(0*v + 16*v - 9*v) + 3*v**2 - 2*v**2 - 37*v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.076? (a) 1 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 215830671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10352 divided by 18\nAnswer: -5176\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 21. Suppose -136 = t*g - 6*g. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -157670 + 3*n + 157670 - 3*n - 13*n**2. Let w(i) = 7*i**2 - 9*i - 9. Let o(x) = -3*x**2 + 4*x + 4. Let f(g) = 9*o(g) + 4*w(g). What is h(f(m))?\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:25 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 21*n**2 + 19*n + 25. Let b be w(20). Let f be -165 + (-2 + b - -1). Round f to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(5) + -4*sqrt(80) + sqrt(5)))\/((sqrt(864) - sqrt(864)*-2 - sqrt(864))*4 + sqrt(864) - sqrt(864)) + 0 + 4.\nAnswer: -sqrt(5)\/1344 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105197855.\nAnswer: 5, 7, 61, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 divided by -4?\nAnswer: -411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6893 or 7269?\nAnswer: 6893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 - 2 - 187*o**2 - 58*o**2 + 84*o**2 in the form l + y*o**2 + v*o and give y.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (101 + 85 + -216).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Let z = 6 + -10. Let w = 9 - 14. Sort w, z, g in descending order.\nAnswer: g, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*r - 58, r - 3 = 2*r. Suppose -5 - 35 = -2*y. What is the lowest common multiple of y and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16211 not equal to 3712360\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 11. Let y(j) = -4*j + 21. Let x(t) = -7*v(t) + 4*y(t). Let p = 14 - 9. Calculate x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26664435197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/60 + 27*t**2 - 27. Let j(y) = -1123*y. Determine k(j(f)).\nAnswer: -1261129*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:46 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(sqrt(468) + -1 + 1 + (4*5*sqrt(468) - sqrt(468))**2) + -5)*2.\nAnswer: -2703208 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 - -1 - (13 + -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(2 - -1))\/4*(-195)\/39.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12867*w + 9283*w + 3 + 5949*w - 79104*w - 3)*(-1 - 3 + 2) in the form x*w + i and give x.\nAnswer: 153478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65193307.\nAnswer: 73, 893059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23438, 23444, 23450?\nAnswer: 23456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 8 (c) -122\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 2\/13, -1\/8, 0.4 in descending order.\nAnswer: 0.4, 2\/13, 0.08, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 3*n + 3. Let t be w(3). Suppose t*s - 23 = -5. Let m(f) = f**3 - 7*f**2 + 7*f - 3. Let j be m(s). Solve -2*k - 15 = j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:22 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77, -75, -71, -65?\n\"Answer: c**2 - c - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 3:54 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*u - 108*u + 2. Let w(v) = -v**3 + 3*v**2 - 2*v. Let p be w(u). Solve 5*k - 3 - 17 = p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 64*r**2 - 442*r - 1588. What is l(-56)?\nAnswer: -1924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6249 a factor of 353231104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193618.\nAnswer: 2, 131, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**2 - 4*g + 4*g - 95*g**2.\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49378, 98759, 148152, 197563, 246998?\nAnswer: 296463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 606 + -110. Let h(b) = -496*b + q*b + 3*b**2. Let y(i) = -31*i**2. Give h(y(v)).\nAnswer: 2883*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -972.37 + 941. Let p = h - -31. Let g = 0.36999907 + p. What is g rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 15. Suppose 4*x = 16, -d - 5*x = -h*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -629*k + 628*k + 212. Let h = k + -100. Calculate the greatest common divisor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egeg when four letters picked without replacement from {g: 3, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44500715713133099\/15944794448 + -17778\/32146763. Let k = -2790927 + n. Let y = -203\/31 - k. What is the common denominator of -29\/2 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j + 2*j. Suppose j*u - u = 2. Let a be 1*15*(u - 0). Solve q = 4*h - 11, q - a = -3*h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639578461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256007153?\nAnswer: 97, 421, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000011 (base 2) to base 12.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/3 (b) 4 (c) 1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -5 (c) 27826455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 8 - 24. What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43628 and 2044276.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/3 + 0 - (-224)\/168. Suppose h - 21 = z, h - 3*z = 29 - b. What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (80\/296)\/((2\/(-6))\/((-8)\/1392)). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1073015086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x + 12 = 0. Let f = x - -4. Let u(h) = h - 2. Let z be u(5). Sort z, -4, f.\nAnswer: -4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24747, 5, 0 in ascending order.\nAnswer: -24747, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -72\/5 (b) -1\/4 (c) -0.42 (d) 1 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 3908*z**2 + 8 - 7.\nAnswer: 3908*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 5*d**2 - 3*d - 7. Is h(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*d = -9*s, -5*d + 30 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) + -2 + 25. Suppose t = 4*w - 179. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 2*r = 86, 0 = 3*n - r - 101. Suppose n = 4*a + 5*c, -10 = -a - c - 3. Find x, given that 0*x + 12\/5 + 54\/5*x**a - 3*x**4 - 51\/5*x**2 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011552 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2898*x**2 - 2*x - 3. Let v(i) = 7*i**2. Determine t(v(z)).\nAnswer: 142002*z**4 - 14*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 105662577103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190903653 divided by 3.\nAnswer: -63634551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12882098?\nAnswer: 2, 71, 83, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 3, -0.4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 611 - 315 - 310 + s**2. Let y be c(-6). Suppose 4*j - 88 = -0*j. Calculate the greatest common factor of y and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2252885 is divided by 2252867.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22355454 and 1650.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.8. Let j = 3.03 + -4.8. Let y = -1.67 - j. Which is the fourth smallest value? (a) k (b) 0.5 (c) y (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 - (11 + (-2 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(-3)\/1. Let f = 17 - o. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -6, 118 in decreasing order.\nAnswer: 118, 2\/17, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011011011000 - 100010000?\nAnswer: 111010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 - (-13 - 702). Let l = 1160 - f. What are the prime factors of l?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 4. Let q be 13\/2 - (-3)\/(-2). Suppose u - q + 0 = 0. What is the units digit of p(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-26)*((-34)\/153)\/(2\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 890 and 10413.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12))**(1\/2)\/(r**1*(r*r\/r**(-1\/52)*r)\/r) assuming r is positive.\nAnswer: r**(-469\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**3 - p**2)*((2 - 3 - 1)*(-4*p - 13*p + 22*p) + 2*p + 2 - 2 + 2*p - 4*p + 5*p)*(-2 + 3 + 0 + p).\nAnswer: 10*p**5 + 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.07, 1, 3\/46 in increasing order.\nAnswer: -7, -0.07, 3\/46, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from zenzununqvvnvv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16167\/7 - -2310. Which is the nearest to -1? (a) -4 (b) 14 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2248*j**2 - 3*j - j**3 - 2250*j**2 + 7 - 6*j**3 to the form c*j**2 + t*j + a + l*j**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1705 and -1\/1395.\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 1.98. Let v = 18.92 - 18.62. Which is the third biggest value? (a) 10 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349986 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8*u - 9. Let p be r(-6). Let y be (p + 3 + -5)*14. Solve -4*x + 2 = a + 3, x = -5*a + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128884, 259382, 389880, 520378, 650876, 781374?\n\"Answer: 130498*t - 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3621 or -1?\nAnswer: -1\/3621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(52) + -5 - ((sqrt(117)*-3 - sqrt(117))*-6)\/sqrt(9)).\nAnswer: -22*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 7*g**2 - 9*g - 7. Let f(h) = -3*h**3 - 6*h**2 - 8*h - 6. Suppose 5*u + 3*z + 33 = 0, 5*u - z - 13 = -42. What is u*p(n) + 7*f(n)?\nAnswer: -3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/12 - 5*g. Calculate c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - (12 + -72)\/4. Solve -2*a + 5*w - 16 = 0, -5*a + 27*w - l = 22*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49082*q + 98160*q - 2*q**2 - 49078*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 22 = 5*m, -22 = -2*m - 3*y - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -1\/4 (b) -28 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, t: 14}. Give prob of picking 4 h.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1780 (b) 55 (c) 18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 346228040 and 12?\nAnswer: 1038684120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22232, -22197, -22166, -22139?\n\"Answer: -2*o**2 + 41*o - 22271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/15 and -43\/94782.\nAnswer: 473910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**2 - 10*p - 13. Let u(q) = -4*q**2 - 5*q - 6. Determine -13*u(w) + 6*z(w).\nAnswer: -2*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*f - 2, 2*h = -0*f + 3*f - 9. What are the prime factors of (-464)\/(-24) - f\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 11*x + 8. Let l(q) = 6*q - 23. Let p be l(2). Let w(f) = -2*f**2 + 8*f**2 - 2*f - 8*f**2 + 3 - 2*f. Give p*w(n) + 4*m(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 51. Let i be a(12). Let q = 58 + i. Let f be (6\/(-3) - -6) + 3 + q. Solve -v = v + f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 6. Let a = 1 - -3. Suppose 2*k - k + a = 0. Determine x(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655592.1471 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -159, -223, -271, -297, -295, -259, -183?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5, 4*a - 3 = 5*l + 22. Suppose p = -a*p + 19. Suppose -111 = -2*z + p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4081566, -8163128, -12244690, -16326252, -20407814?\nAnswer: -24489376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 3264*a**3 + 3269*a**3 - 71*a**2 + 107*a**2 in the form j*a**2 + i*a + r*a**3 + w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(-1*sqrt(6300) - sqrt(6300))\/(sqrt(99)\/(-3*sqrt(11))).\nAnswer: 2 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43455 + 11?\nAnswer: -43444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j**2 - 26*j**2 - 21*j**2 + 42*j**2.\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - h**3 + 4*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 31. Suppose 0 = 5*y + q - 57, -9*y + 4*q = -6*y - 48. Calculate the least common multiple of y and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrcrrrcrrrrrrrrrrrr. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87541796873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 4*s - 100 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/768757 and -31\/66?\nAnswer: 4612542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -14?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1\/4)*o\/(o\/o**(-4))*(o**(-1)*o)\/(o*o**(3\/4)*o*o*o) assuming o is positive.\nAnswer: o**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 - -142. Let d be (-20)\/8*r\/(-15). Suppose -5*y + 2*j = -78 + 21, -y - 2*j = -d. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29898 + -17441\nAnswer: 12457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + k = -5*z - 22, 2*z - 69 = -3*k. Sort 3, 0, z in descending order.\nAnswer: z, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -219, -277, -335?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 + 1935*c**3 - 804*c**2 - 3*c.\nAnswer: -24*c + 11610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 52 = -5*s - 16*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180272 and 37952.\nAnswer: 721088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/8)*51\/(-136)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176613, 176627, 176655, 176709, 176801, 176943?\nAnswer: 177147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33525715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, -7\/4, 0.1 in ascending order.\nAnswer: -7\/4, -1.7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 m, and 1 k when four letters picked without replacement from agkkklklklkamlglgglk?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((52\/(-6))\/(5320\/(-1140)))\/(2\/(-14)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -131 + (-6)\/3. What is the units digit of 164\/14 - 38\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -135\/4, -0.057, -181?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/1*3\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-29)*-26*(-5)\/20\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -982 - 1546?\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*d - 104*d + 27 + 56 = -2*a + 14, -1 + 0 - 2 = d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 2*b + 32 + 4*b - 54 + 25.\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 6*w - 2*w)*((-2*w**2 + 0*w + 0*w)*(-2*w**2 - 2*w**2 + 2*w**2) - 3*w**4 + 0*w**4 + 5*w**4).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 81, 5 in descending order.\nAnswer: 81, 5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kccciccpckpp. Give prob of picking 2 k, 1 p, and 1 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**15*p**(2\/29) assuming p is positive.\nAnswer: p**(437\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 67*l**2 - 78*l + 309. Is v(44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s + 1131 = 58*s. What are the prime factors of s?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.00066 + -44. Round i to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -163? (a) -0.3 (b) 2134 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -0.5, 68, -4, -0.033?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26304\/685)\/(18\/15))\/(1*(-2)\/4).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 942?\nAnswer: -4710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-16)*((-4)\/(-2))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -239?\nAnswer: 25\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((22688\/10)\/4)\/(18\/45).\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**4 + 6*y**3 + 8536*y**2 - 2*y + 140205 wrt y.\nAnswer: -24*y**2 + 36*y + 17072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 + 25564*q + 163379524 = 0.\nAnswer: -12782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 4*v - 8, 3*s = v - 4. Let c be (3 - 2)\/(3\/s). Let u(g) = 11*g**2 + g + 1. Let k be u(c). Is 10 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662254107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 7*p - 22. Is ((-7996)\/p)\/(26\/91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8)*3\/(-2)*12. Let z be 2\/5*-1*(i + 1). Sort -0.5, z, 2 in ascending order.\nAnswer: z, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 39*o - 64. Let p be j(-21). Let n be (1\/(p\/1))\/(22\/66). Which is the nearest to -2\/7? (a) -1\/2 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = k + 48. Calculate the common denominator of 3 + k + (-46)\/10 - -1 and (-9)\/(-54)*1*71.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 12*t**2 + 8*t + 44. What is k(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from {d: 1, o: 1, u: 3, z: 1, h: 9, f: 2}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -399 + 441 = -14*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-542)\/(-42) - 6\/(-14))\/(1361\/4083)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:53 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 20740665.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3567 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 10:21 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2695357 and -205.585.\nAnswer: -2695562.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 900121 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 18611.\nAnswer: 3722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -4*y + 3*t, y = 6*y + 2*t - 359. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -909 + 1782. Suppose -3*m + x + 1015 = 2*v, 3*v + m = 2839. What are the prime factors of v?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3 - 7. Let j = x - -57. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114, 108, 102, 96, 90?\n\"Answer: -6*p + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6313169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 + 1885*i**3 + 12980*i**2 + 11100*i = 0.\nAnswer: -370, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 o when three letters picked without replacement from {x: 2, u: 1, q: 1, o: 1, g: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o = -1236*o - 22762 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 64. Let n be k(16). Suppose 14*g - n*g = 6840000. Round g to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23 and -3378916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20769 and 1071?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 28*n - 500. Let l be (1\/2)\/(1\/156). Calculate the highest common divisor of n and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r + 5*w, -2 = 3*r + 2*w - 12. Find the second derivative of -19*q**5 + 7*q**r - 7*q**2 - 8*q + 29*q**5 wrt q.\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.50811 kilograms in micrograms?\nAnswer: 78508110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-8)\/6))\/((-387)\/344).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.05.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - y**3 + y**3 + 4*y**3 - y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 8*q - 4. Calculate o(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256178 - 3978 = -15*b + 2359. What is the highest common divisor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let m(h) = -11*h. Let s(t) = -12*t. Let k(l) = 3*m(l) - 4*s(l). Let i(b) = 16*b. Let p(c) = 5*i(c) - 6*k(c). What is p(f(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = -135. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*x + z - 36, 2*z + 78 = -3*x. Let k be (33\/6 - 1)*(-16)\/x. Do -0.131 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/5 and 23.99 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -482, -1079, -1914, -2987?\nAnswer: -4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*n = 256*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-632)\/420 - -2 - (6084\/378 + -16). Let g(v) = -v**3 + 6*v**2 + 7*v - 4. Let o be g(7). What is the third smallest value in 0.2, x, o, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 5*m**6\/6 + 3*m**5 + 2*m**3\/3 + 145*m**2\/2 - 1698. Find the third derivative of d(n) wrt n.\nAnswer: 300*n**2 + 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -409 + 411. Suppose -w*g = 4*u - 2, 6*u + 13 = g + 2*u. Solve o - 5 + 4 = -n, 5*n = 2*o + g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/19)*s*s\/(((s*s*s*s**(-3\/7))\/s)\/s)*s)**(-24)*(s*s\/s**(-1)*s*(s*s\/(s\/(s*s\/((s**(-8)*s)\/s)*s)))\/s)**(-1\/11) assuming s is positive.\nAnswer: s**(-118683\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjwx when four letters picked without replacement from {x: 5, a: 3, w: 5, g: 1, j: 1, r: 3}?\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-252)\/(-70) + (-6)\/10. Let l(f) = 2 - k*f - 5 + 7 + 2*f. What is l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -2, 183, -6392, -38?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roo when three letters picked without replacement from {o: 5, t: 1, j: 1, r: 2, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1746734, -1746742, -1746740, -1746728, -1746706, -1746674, -1746632?\n\"Answer: 5*w**2 - 23*w - 1746716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 277. Let q(a) = -a**2 + 974 - 974 + 0*a**2. Give q(p(i)).\nAnswer: -4*i**2 - 1108*i - 76729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -2313213234?\nAnswer: 2313213231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-180)\/(-46) - 3). Let x = -5.897 + 5.887. Which is the closest to -2? (a) v (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217396 is divided by 5193.\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t**2 + 18*t - 62. What is c(6)?\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812153 = 199*m - 795636 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 40*b**3 + 10*b**2 + 10*b + 8. Let f be m(-8). Let g = -7903 - f. Suppose 3*n = -4*t - g, t + 4*n = 2*n - 3006. Round t to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -1067. Suppose -6*b = -f - 7256. What is b rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a*a\/(a**(-10)*a))**(-37)*(a**(2\/15)*a**(-6))\/(a**0*a**(-2\/3)) assuming a is positive.\nAnswer: a**(-581\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720\/952*2002\/88?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -17. Let d = h - 9. Solve -4*x = -5*k - 8, d*x - k = 4 + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a week in minutes?\nAnswer: 38080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 3*y**2 - 4*y + 4. Let t be n(4). Let b be t\/(-35) + (-1)\/2. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1988*m**2 - 100*m**2 - 960*m**2 to the form v + w*m**2 + o*m and give w.\nAnswer: -3048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - (-3878)\/30. Let a = -472\/3 + k. Let b = a + 28. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 - 3 - 5*o**2 + 6 - 9 in the form b + u*o + z*o**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 13*h**4 - 11*h**4 + (0*h**2 + h**2 - 3*h**2)*(-2*h**2 + 3*h**2 + 0*h**2).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1445\/(-34))\/17 - (-10)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 86\/(-989) + 163\/23. Suppose 0 = a*x + x - 20632. Is x 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 -0.3, -2\/49, -0.2, -2\/25, 0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1606248 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2629240 at least -5258481\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2710 = 4*l + 2*w, -157*l + 3380 = -152*l + 5*w. Sort -3, 1, -2, l, -1.\nAnswer: -3, -2, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 0.42. Let m = -54492.2999987 + 54491.96. Let b = a - m. What is b rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 509737513105 and -0.7.\nAnswer: 509737513104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340.49783 minus -9?\nAnswer: -1331.49783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**4*q - 729*h**3*q**3 + 5*h**3*q**2 + 2*h**2*q**2 + 7*h**2 + 10*h*q**3 + 26*h*q**2 - 1 wrt h?\nAnswer: -144*h*q - 4374*q**3 + 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 2ab50?\nAnswer: -2ab54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*c + 48, -c + 3*q + 315 - 209 = 191 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {t: 5, m: 1, x: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:54 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2016141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:56 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -2. Let d = j - -1. What is the nearest to -0.1 in d, 2, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0. Let j(d) = d**2 - 6*d - 1. Let q be j(6). Let z = -0.2 - -0.3. Which is the closest to z? (a) 5 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -24) + (3 - (-2 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.4 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06436357 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gog when three letters picked without replacement from gogogoooggog?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763990657 to the nearest integer?\nAnswer: 27640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -890.5692 from -1506694.\nAnswer: -1505803.4308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 10. Suppose 31*n = 28*n - 111. Let z = -44 - n. What are the prime factors of i(z)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Suppose m + 0*m - 9 = 4*f, 2*m + 21 = -5*f. Sort m, 2, y.\nAnswer: m, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 20. Let z = -82.1 + 86. Let w = z - 4. Which is the third smallest value? (a) -3\/2 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2170)\/(-217) + -10 + 0. Solve l - 2*l + 5*l = o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/124346850 and -161\/1819710.\nAnswer: 373040550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p. Let r(f) be the first derivative of -7*f**3 - 18. Determine k(r(a)).\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiuiuuuuuui?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(8\/7))\/d)**(11\/5)*(d\/(d\/d**(8\/7)))\/d**10 assuming d is positive.\nAnswer: d**(-222\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 42972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 104347929 - 92.264\nAnswer: 104347836.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 70 = -2*a. What is the common denominator of 4\/a + (-888)\/70 and 37\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2 + sqrt(13))*3 + 0)**2 - (sqrt(78) - sqrt(78)*2*3)\/sqrt(6).\nAnswer: -67*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.599467 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*p*q - 3*i*p + 16*p*q - 2*p + 2*q + 30 wrt q.\nAnswer: i*p + 16*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(735)*4 - sqrt(735))\/(sqrt(3) + (sqrt(3) + sqrt(108)*-2 - sqrt(3))).\nAnswer: 63*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316163 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 39*v**2 + 660*v - 1152. What is u(11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q)**(30\/7) assuming q is positive.\nAnswer: q**(330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 7*o**2 - 3*o - 20. What is the remainder when 180 is divided by v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (18 + -9 + 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k + 10 = 5*a + 41*k, -a - 21 = -4*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -160700 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3229932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 957947 to the nearest one thousand.\nAnswer: 958000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743 is divided by 1421.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6833939?\nAnswer: 7, 19, 51383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.16 + -0.16. Put c, 12, -0.5, 0.2 in descending order.\nAnswer: 12, c, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4744061064 and -114?\nAnswer: 114.4744061064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -42?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 - 767 + 69 = -92*c + 153*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 110*w + 543. Is u(30) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 240, 528, 816, 1104?\n\"Answer: 288*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 437, 1690, 3851, 6992, 11185, 16502, 23015?\n\"Answer: 12*o**3 + 382*o**2 + 23*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 57*z - 27 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -1, -3 in decreasing order.\nAnswer: 12, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4444101, 4444097, 4444091, 4444083?\n\"Answer: -r**2 - r + 4444103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.00514 + -0.19486. Are r and 1.014 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1*2)\/((2*sqrt(72))\/sqrt(9)))**2*-5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22202033202 + 11333?\nAnswer: -22202021203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 2. Determine x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 27 = -3*i - 50, i + 4*m = 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 3:05 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2200373?\nAnswer: 7, 314339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {e: 3, u: 1, k: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)*f\/(f**(-2\/3)*f*f))\/(f**(1\/3)*((f*f\/(f*(f\/(f\/(f\/(f**(1\/4)\/f))))\/f)*f*f)\/f)\/f))**(-1\/5))**(9\/8) assuming f is positive.\nAnswer: f**(213\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387.9 - -370.9. What is the closest to a in -0.3, 0.4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3134*z + 517*z + 2125*z + 509*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 i, and 1 s when four letters picked without replacement from {h: 2, k: 2, s: 2, i: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -94.1. What is the closest to z in 0.5, 0.3, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104300030 (base 5) to base 3\nAnswer: 212111110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 + 22 = 0. Suppose -785 = -2*c - z*c. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22389, -91915, -208581, -372387, -583333, -841419, -1146645?\n\"Answer: -23570*c**2 + 1184*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -3) + 2*2. Let m(l) be the first derivative of -2*l**2 + 5 + 1\/3*l**3 + 2*l. What is m(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -97. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 614, 2501, 5658, 10091, 15806?\n\"Answer: p**3 + 629*p**2 - 7*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*n + 68, 144*n - 36 = 143*n - 0*b + 3*b for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2891 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 5. Let u be z(-2). Let j = u + 3. Suppose 2*g = -j*g + 6. What is the smallest common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4*s - 10. Let k be x(-2). Find the third derivative of b**6 - 10*b**4 + 10*b**4 + 2*b + 27*b**2 - 64*b**k + 31*b**3 wrt b.\nAnswer: 120*b**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12601*r = -12582*r + 171 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51b7 + -91?\nAnswer: 5126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4355, 0.\nAnswer: 0, 5, 4355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796024 is divided by 18512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 0*m**3 - 3*m + 0*m**3 + 2*m**3 + 73025 + 5*m**2.\nAnswer: 2*m**3 - 2*m**2 - 3*m + 73025","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-126 - -118) + -1 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**23\/r))\/r*r**(-38)*(r**(-22)\/r)**(-2\/9) assuming r is positive.\nAnswer: r**(-494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-14)*(-363)\/(-66)*(-14)\/(-22). Factor -162*c**3 - 24 - 81\/2*c**4 - 216*c**b - 120*c.\nAnswer: -3*(c + 2)*(3*c + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 - 4*y**4 + y**4 + 2*y**4 - 3*y**4 + 2*y**4 + (2*y**2 + 0 + 0)*(3*y**2 - 5*y**2 + 4*y**2) to j*y + c*y**3 + z*y**2 + b + u*y**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 73. Let d = -30 + q. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 - 6*j. Let q(d) = -9*d**2 + 11*d. Let c(m) = -3*q(m) - 5*r(m). Let s be c(2). Solve 2*l**5 + s*l**4 + 0*l**3 - 4*l**4 - l**5 + l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10299, 10225, 10137, 10059, 10015, 10029, 10125?\nAnswer: 10327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.765509982 to 2 decimal places.\nAnswer: 4.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjaaaja. Give prob of picking 1 a and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007758 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5681, 5608, 5521, 5414, 5281, 5116, 4913?\n\"Answer: -k**3 - k**2 - 63*k + 5746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 2*a**2 + a + 2. Let j be f(-1). Let c(l) = l - 3. Let o be c(-4). Let n(p) = p**2 + 7*p + 3. Let z be n(o). Sort j, 2, z, 5.\nAnswer: j, 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 3020 + 1408. Does 51 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6056244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 9*d + 91. Give b(7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7746698?\nAnswer: 2, 3873349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 2*i**2 - 3*i**2 + 18*i + 8 - 14*i + 2*i**2. What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*y**2 + 0 + 634*y**2 + 0.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12121\/7678 - 36\/349. Let z = 29489 - 3479635\/118. Find the common denominator of h and z.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:37 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-84)\/(-18))\/((5\/6)\/(-5)). Let p = -24 - w. What is the greatest common divisor of p and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/12 - 5*a**3\/6 - a**2 - 6*a. Determine q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.737016 weeks to minutes.\nAnswer: 67909.12128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y - y + 2*y)*(-6*y + 0*y + 3*y) - 2*y**2 + 2*y**2 + 15*y**2)*(-2*y + 0*y - y**3 - y**3).\nAnswer: -36*y**5 - 36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 7\/2*i**2 - 19*i + 0 + 1\/3*i**3. Suppose 4*p = -20 - 0. Give g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37892 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006657258 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -62, 349, 5 in ascending order.\nAnswer: -62, -5, 5, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51501.58um to millimeters.\nAnswer: 51.50158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1688410 (base 13) to base 2.\nAnswer: 11011110110100011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 11. Let z = 19\/2 - s. Let f = 0.1 - 0. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-5508))\/(1\/45)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**2 + 0*m**3 + 1\/4*m**4 + 5*m + 0 + 1\/20*m**5. Let p(s) = 2*s**3 + 2*s**2 - 2. Determine -2*k(y) + 3*p(y).\nAnswer: 4*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*a**2 - 341320 - 1641*a**2 + 341320.\nAnswer: -1806*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -20. Differentiate 7 + 0*r + r - r - 2*r**j wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -11, 21, -1.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 357711*j**4 + 182*j - 1052?\nAnswer: 4292532*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/6 - x**3\/6 - 29*x**2. Let j be p(-2). Calculate the lowest common multiple of 42 and 6\/j + (-8)\/(-3) - 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 18. Let k(b) = b**3. Let p(n) = 2*n**3 + n**2. Let o(w) = q*k(w) + p(w). Let g be o(-1). Solve -g*l + 19 = -6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156, -82, -8, 66?\n\"Answer: 74*v - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2. Let f(k) = 18644*k**2 - k. Calculate f(x(i)).\nAnswer: 74576*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) + 0)**2 + 4*(sqrt(1053) - (-2*sqrt(1053))**2) - (sqrt(1053) + 1)*-4*5)*-6.\nAnswer: -1296*sqrt(13) + 63060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 + 2*j - 10. Let x be c(7). Solve x + 11 = 5*q - 5*d, 5*q - 2*d - 6 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 5, -27, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 55*i + 12*i + 7973 = 40*i for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 5. Let k be g(4). Let v be (7 + k\/(-1))*1. Suppose -v*h + 25 = h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 1 e when three letters picked without replacement from {c: 4, e: 1, u: 3, r: 2, p: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 1 + 4. Let g(n) = -7*n**2 - 5 + j. Let y(q) be the first derivative of -q**2\/2 - 6. Determine g(y(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74.6 + 75. Which is the second smallest value? (a) 4 (b) 0.3 (c) -4\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1146 - 55913?\nAnswer: -56a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -814*f**3*q**2 + 3*q**2 + 38*q with respect to f.\nAnswer: -2442*f**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -25*p**2 - 2853*p - 306. What is o(-114)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2197 + 1102 = -2*s + 4*s - 1101, -5*s + 27 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*z + 22*z - 4 + 3)*(4*z - 6*z + z).\nAnswer: 10*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 264681749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t**2 - 20*t - 5. Let l(z) = 3*z**2 + 2*z + 3. Let y(k) = 6*l(k) + n(k). Give y(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177493259?\nAnswer: 31, 83, 101, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/20 - (-90 + 92)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and ((-64)\/(-6))\/(39\/(-9)).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 813378.2 litres?\nAnswer: 813378200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784052?\nAnswer: 2, 31, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 - 2*p**2 + 3*p + 9. Let a(v) = 3*v**3 + v**2 - v - 4. Suppose -3*c - c = 8. Let s(x) = c*k(x) - 5*a(x). Give s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 138\/(4 - (-2 + 5)). Let h = o - 63. Let g(c) = -2*c - h + 75. Let n(u) = -3*u**2. Give g(n(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 338183 times 1.602\nAnswer: 541769.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/138172 and 17\/26310?\nAnswer: 1817652660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/740)\/(((-161)\/690)\/((-609)\/(-783)))?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6845 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 2*p + 3*c - 112, 3*c + 40 = 4*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38030 or -38029?\nAnswer: -38029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, y: 10, q: 1, w: 4}. Give prob of picking 1 p and 1 y.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 45*c + 2134. Let o be u(-56). Which is smaller: -385 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -129.\nAnswer: -50\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.387 and -570.\nAnswer: 220.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 2, e: 2, j: 1, x: 1, p: 2}. What is prob of sequence xbep?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439 + 11*g**2 + 13327*g + 220 + 219.\nAnswer: 11*g**2 + 13327*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1747, -5, -4, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-10))\/1)\/((-75)\/50)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 65, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/6 - 19*h**4\/6 - 21*h**3\/2 - 65*h**2\/6 - 11*h\/3.\nAnswer: h*(h - 22)*(h + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 3*z + 1428. Let b(d) = 2*d + 569. Calculate c(b(k)).\nAnswer: 8*k**2 + 4558*k + 650657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 2*d**2 + 2*d + 3. Let j be a(-2). Let b be 2\/(1 - j\/(-3)). Let s(n) = 4*n - 4. What is the units digit of s(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5344, 10711, 16078, 21445, 26812?\n\"Answer: 5367*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12494554, -24989110, -37483666, -49978222?\nAnswer: -62472778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 12 + 86. Suppose -2*l = 3*y - 4*l - x, 4*l = -20. Let w(b) = -b**2 + 10*b - 10. Let r be w(y). Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -19. Suppose -12 = 5*y - o*y. Suppose 37 = r + t, y*r + r - 2*t - 213 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 11}. What is prob of sequence hh?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -50?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 - 3*q - 4. Suppose 4*j = -d - 17, -3*d - j = -2*j - 1. Let z = d + 4. Suppose 28 = 4*f + z*x + x, 3*f - 7 = 4*x. Determine v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2870 - 1056 = 24*j - 175*j for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1 - -7)\/18)\/(12\/(-63)) and -65\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*o - 5*f = 12, 2*o + 2*f = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 = 6*h + 512 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 - 2*w**2 - w. What is the tens digit of q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 47*v**2 - 21*v - 16. Let b be x(-21). Which is smaller: -1777 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -346.6 + 441. Let v = -94 + o. Which is the nearest to -2? (a) -0.6 (b) -0.2 (c) 5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -80. Sort q, -9, 2, 4.\nAnswer: -9, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 1, -2*a + 31*c + 2 = 29*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 5*d**4 - 4*d**3 - 10688*d**2 - 1 wrt d?\nAnswer: 120*d**2 - 120*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:34 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -1 (c) 2\/13 (d) 5 (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7\/4 (b) -1\/5 (c) -4 (d) 1 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18927341.7 to the nearest 10000.\nAnswer: -18930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-45))\/(2\/15). Suppose -2*n - 6 = 0, n = u*v - n - 31. Put v, 3, -3 in increasing order.\nAnswer: -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9615802, -9615804, -9615808, -9615814, -9615822, -9615832, -9615844?\n\"Answer: -q**2 + q - 9615802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*k + 15. Calculate the remainder when 28 is divided by (-60)\/(-9) + (-2)\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -932, -2044, -3584, -5552, -7948?\nAnswer: -10772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*m = 51 - 16, m - 7 = -h. Let u = 61 - h. Suppose 0 = -9*x + 5*x + 44. Calculate the remainder when u is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27109*c**3*n**5 - 2*c**3*n**3 - 1168*c**3 - 9*c**2*n + c - 6*n wrt n?\nAnswer: -542180*c**3*n**3 - 12*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 8*g + 4. Give y(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 6355d4?\nAnswer: 6355c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40331\/165 - 1232\/5. Find the common denominator of i and -101\/102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 7. Determine y(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.432039292 rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5889900 by -12.\nAnswer: -490825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u - 34263 = 5291*u - 142674 - 250508 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 14 = -3*s - 19, -5*s - 2*i = 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*v**2 + 1070\/9*v - 1072\/9.\nAnswer: 2*(v - 1)*(v + 536)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 61. What is the nearest to 1 in 1\/3, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 85*z + 15 - 32*z.\nAnswer: -129*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 7. What is u(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4691 - -1.4691. What is the closest to o in -0.2, 2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -3*o**5\/10 - o**4\/12 - o**3\/6 - 2*o. Let j be a(-1). Solve q + 2 = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*q - 139, 2*j + 67 = 5*q - 128. Find the third derivative of -17*l**2 - 18*l**3 + 41*l - 8*l**2 - q*l wrt l.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2, 4*o - 2*h - 137 = 57. What is the highest common factor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 63242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (4 - -5)) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1868359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:42 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2. Let y(u) = -3*u**2 - 2*u + 5. Let b = -50 + 47. Let f(o) = o**2 - 3. Let a(v) = b*y(v) - 5*f(v). What is m(a(q))?\nAnswer: -48*q**4 - 144*q**3 - 108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-161)\/35 - 4\/10. Let t be 1 + -1 - (-2 - (s + 172)). Let l = t - 83. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c30a7 (base 16) to base 15\nAnswer: -aab7e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 797742367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(2 - 8\/6). Let x = 14 + b. Suppose 5*i = -5*q + 60, -2*i - 3*i = 4*q - 62. Calculate the least common multiple of i and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*w - 54*w + 408 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*n**2 - 2 - 15*n**2 in the form o + m*n + l*n**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 11. Suppose 0 = 4*j + 16, -r - 4*j = j + 28. Does d = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 377\/8 - (-4)\/32. Let s = 551 - o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z + 11 - 7 + 9)*(0 + z + 0)*(-18 + 2 - 12).\nAnswer: -812*z**2 - 364*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 29*i**5\/10 - i**3\/2 - 417*i**2\/2 - 167*i. What is the first derivative of r(q) wrt q?\nAnswer: 174*q**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z. Let i(k) = 16135501*k. Determine i(f(a)).\nAnswer: -48406503*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16213 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + 54. Suppose -2*u = -0*u - 3*u. What is the units digit of d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1381 divide 32662031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3*i**4*q + 758*d**3*i*q - 4605*d**3*q - 2*d**3 - 2*d**2*q wrt i?\nAnswer: 4*d**3*i**3*q + 758*d**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 51\/153*(116 - -1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1560 = -3*z - 1548. Solve 0 = -w - l - 3, -z = 3*w - 2*l + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525 (base 6) to base 14\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*l**4 + 2*l + 284?\nAnswer: 520*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249988239?\nAnswer: 193, 1867, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -358*u**2 + 32*u - 35*u + 0*u**3 + 2*u**3 + 4*u in the form s*u + t*u**2 + l + n*u**3 and give t.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3045\/812*(48\/198)\/(-1*1)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 4*b + k, 3*b = -5*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h. Let s(k) = 0 - 71*k + 78*k + 0. What is 6*f(t) + 7*s(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21653 + -108262\/5. Let o be (-115)\/(-100) + (-4)\/10. Which is the fourth biggest value? (a) 6 (b) s (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:22 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 18 - (-1 + (-1 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 513 - 498. Solve -7*h - g = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(704)*1)**2 + (sqrt(704) + 1 + 5)**2 + sqrt(704).\nAnswer: 104*sqrt(11) + 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 15*d + 14. Let x be s(-14). Suppose x = -5*i + 937350 - 155780. Let f = 56314 - i. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:11 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -209, -186, -149, -98, -33, 46?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + 0 + sqrt(720) + 3) + (-4*(sqrt(30)\/sqrt(96) + (1*sqrt(50) - sqrt(50))\/sqrt(10)))**2.\nAnswer: -12*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/5)\/n)\/n*n\/(n*n**(3\/8)\/n)*n**1*n\/(n*n*n**12) assuming n is positive.\nAnswer: n**(-479\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -5*r - 66. Suppose 12 = -3*d, -r*o + 2*d - 5*d - 10 = 0. Solve 2*a = 0, 0 = -q - 3*a - 4 + o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 9763993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**6\/r)\/(r*(r**(-1)*r)\/r))\/((r\/(r**(2\/7)\/r))\/r*r**(-1\/7)))**41 assuming r is positive.\nAnswer: r**(1558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 192 and -119667462297.\nAnswer: -119667462105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*o + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(140)\/sqrt(4) - sqrt(35))\/(sqrt(5) - (sqrt(5) - (sqrt(20)*-1)\/sqrt(4))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*b**2*c**3*f*p**3 - 90*b**2*c**3*f - b**2*c**2*f + 7*b*c**2*f*p + b*c**2*p - 2*c**2*f*p**3 - 2*c**2*f*p - 2*c**2*p wrt c.\nAnswer: -108*b**2*f*p**3 - 540*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 31. Let g be (-6)\/((15\/6)\/(-5)). Suppose 0 = -3*j - f + g. Solve 5*r - 14 - j = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-9 - (-13 + -6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*d**2*q**4 + 7*d**2*q**2 - 4*d**2*q + 7*d**2 - q**2 - q wrt q.\nAnswer: -264*d**2*q**2 + 14*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 4, k: 2, t: 1}. What is prob of sequence ke?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -66 - 422*y**2 + 842*y**2 - 421*y**2 + 66. Let o be (-18)\/(-8) + 1\/(-4). Let k(p) = -11*p**o - 2*p + 2*p. Give k(w(a)).\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319382 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -67.2. Let u = m - -0.2. Let s = 12 - u. What is the second biggest value in s, 2, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*p - 2*g, -24 = -2*p + 3*g - 9. Let j = 13 - p. What is the second derivative of r + 2*r + r**3 - j*r wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 496 + -96. Is p a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141417561 and 679?\nAnswer: 989922927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 236*b + 5953. Determine w(-25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 0.9?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3025179m in micrometers?\nAnswer: 302517.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29135 = -4*n - 2*u + 24125, 53260 = 4*n - 2*u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + sqrt(363) + ((sqrt(363) - (sqrt(363) + 1)) + sqrt(363) + sqrt(363))*4)**2*-4.\nAnswer: -117935 + 7128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let x be (-23)\/(-12) - 4*1\/16. Let k(t) be the first derivative of 2 + 0*t + x*t**3 + 0*t**2. Give k(l(b)).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 53*n**2 - 70*n - 120. Give x(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 + 12.4. Let g = i + -16. Let c be 2\/8*80\/30. What is the closest to c in 0.5, g, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 9) + 6 + 0. Determine a so that 9*a**2 - 14*a**2 + v - a**3 + 4*a**2 + 4*a = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 749255 and -1.83.\nAnswer: 749253.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/5 - 66*t**4\/5 - 986*t**3\/5 + 11988*t**2\/5 + 264627*t\/5 - 275562\/5 = 0?\nAnswer: -27, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 4. Let f be 33\/(-27) - 4\/(-18). Let x be f*(-3 - 1 - 0). Determine a(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -969 - -2310. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 14*h**3 + 11*h**3 - 7*h**3 + 2*h**3.\nAnswer: 20*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:22 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6145 (base 8) in base 7?\nAnswer: 12152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:58 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 12, 0*z - h + 41 = 5*z. Is 26 a factor of 2\/(-9) + 236\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/24 and 69\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**7\/s**1)**50)**(-1\/21))**(-18) assuming s is positive.\nAnswer: s**(1800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:23 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2*c**6\/9 - 9*c**5\/10 - c**4\/2 + 40*c**3\/9 + 4*c**2 - 2*c - 2804. Find p such that m(p) = 0.\nAnswer: -1, -3\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + o - 1 + 1 + 4*o to the form m + k*o**2 + v*o and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adg when three letters picked without replacement from agnnggnnmdgnddg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6*m - 30 = 0. Suppose m*k = -365 - 455. Is 56\/12 + -5 + k\/(-6) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0*c**2 - c**2 - c**2. Let j(u) = -u. Let m(l) = -9*l. Let a(g) = -g - 5. Let t be a(-6). Let y(d) = t*m(d) - 6*j(d). Give s(y(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 156, 443, 1002, 1923, 3296, 5211, 7758?\n\"Answer: 15*v**3 + v**2 - 3*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 70228*u + 70230 = 0. What is u?\nAnswer: -1, 35115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271123966?\nAnswer: 2, 135561983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1282048*n*o**2 - 7351033*o**2 with respect to n.\nAnswer: 1282048*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/9 + 17684*i\/9 - 247184\/9 = 0.\nAnswer: 14, 8828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5715.86 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54830720.\nAnswer: 2, 5, 7, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -111b5 + 17?\nAnswer: -1119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d. Let w = 12 + -6. Let m = w + -1. Let r(t) = m*t + t - 5*t. Give r(n(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1211221324 + 4?\nAnswer: -1211221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 18656660 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*d - 19*d - 2 + 0 - 2*d + 0*d + 0*d + (-d - 3*d + 3*d)*(5 - 1 - 3) + 2*d - 5*d + 2*d.\nAnswer: -35*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2527 and 5985?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1759760, -3519539, -5279332, -7039145, -8798984, -10558855, -12318764?\n\"Answer: -r**3 - r**2 - 1759769*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-78)\/(-40))\/3 + 2\/(-5). What is the nearest to y in 0.2, -2\/5, 1.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 + 336*v - 2 - 20*v**2 - 336*v + 20*v**2.\nAnswer: -8*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 2\/555?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -10*v. Let d(a) be the third derivative of 0*a**5 + 0 - 1\/60*a**6 + 0*a + v*a**3 - a**2 + 1\/24*a**4. Find the second derivative of d(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217577.\nAnswer: 217577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322.9671ml to litres.\nAnswer: 0.3229671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 26*l + 1817. What is k(36)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 557572*r + 557572*r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t. Let y be q(0). Solve y = 8*j - 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5177\/28894?\nAnswer: -5177\/28894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3796 is divided by 1234?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:41 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 + -0.42. Suppose -7*v - 424 = -113*v. What is the smallest value in l, v, 2\/7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 3665 = -19*t. Suppose -3*c = -t + 43. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13818000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15.7 and 4.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*u - 5*h, 9*h - 5*h = u + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240430745 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 3\/8, 0, 9, 7\/2, -2\/153?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-85)\/119 + 9\/42)\/(1\/4). Let l(r) be the third derivative of 5*r**4\/24 + 11*r**3\/6 - r**2. Let p be l(d). Put 5, -1, p in decreasing order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 - 178660*y**3 - 1429055*y**2 - 3393840*y - 2143440 = 0.\nAnswer: -35724, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72297571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 2, i: 7, t: 8, w: 1}. Give prob of sequence iiig.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6) - (98\/420 - (-9)\/(-135)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 1. Let k(m) = -323*m**2 - 24*m + 322. Let r(t) = -5*k(t) + 30*x(t). What is the first derivative of r(c) wrt c?\nAnswer: 3230*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1071 and 952?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 29.37, -6\/5, 1\/3, 2\/3, -0.17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 4*w - 6. Let x(v) = 9*v**2 - 7*v - 11. Let u(h) = -5*d(h) + 3*x(h). Let m(p) = -10*p**2 + 6*p + 16. Calculate 3*m(z) + 16*u(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6420118.34 - 6490405. Let w = u - -70286.91000022. Let l = 0.25 - w. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1519 - 1055. Calculate the greatest common factor of g and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axaaaeadaaaxaaraaaa. Give prob of picking 2 a, 1 x, and 1 d.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 7*b = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = i - 8, -2 + 3 = -n + 2*i. Let h = n + -3. Let c(l) = 2 + 1 + 21*l**2 - 20*l**2 + l. Give c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, f: 1, w: 11, o: 2, x: 4}. What is prob of picking 1 w, 1 x, 1 q, and 1 o?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2233\nAnswer: 4\/2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41145016 (base 7) to base 9\nAnswer: 6422657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 9. Let x be q(-4). Let a(f) = 11*f + 13. Let d(v) = -5*v - 6. Let u(g) = 6*a(g) + 13*d(g). What is u(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 2021609?\nAnswer: 2021609.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -11 - (0 - -4)) + (18 + 104 - 3).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.455 and 279?\nAnswer: 279.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) -0.1 (c) -4.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 349790 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/12*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 1, c: 2, j: 1, s: 1, n: 1}. What is prob of sequence os?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4\/3 + 4*b**3 + 52*b**2\/3 - 20*b.\nAnswer: -4*b*(b - 5)*(b - 1)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*h**3 - 440*h**3 + 1315*h**3 - 434*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 2723665*h - 2723660.\nAnswer: -5*(h - 544732)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1003, 1956, 2931, 3934, 4971, 6048, 7171, 8346?\n\"Answer: q**3 + 5*q**2 + 931*q + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/1277919 and -137\/9486.\nAnswer: 1346926626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxffxf. What is prob of sequence fxf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -1 - (-10 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = k. Suppose 0 = -k*b + 35 - 15. Solve -4 = -b*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21088242 divided by -64098.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/(-21))\/(-5) - 2223\/(-7). Let o = y - 209. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306180 is divided by 925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.97 and 0.06797?\nAnswer: 3.90203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111010010100000011111 - -100?\nAnswer: 11010111010010100000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k. Suppose 52*u = 50*u - 2. Let g(h) = h. Let x(w) = -5*w. Let o(n) = u*x(n) - 4*g(n). What is o(y(t))?\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069965666 rounded to four dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -500 - -511. What is the closest to -9 in -3, h, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**3 + 67*v**3 - 22*v**3 - 19*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22750 and 2125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 12:50 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m + 6. Suppose -7*s = -m*s - 20. Suppose -s*o + 4*f - 10 = -f, -2*f = -8. Solve o*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -58 (c) 2 (d) -9 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose 3*z + 2*z - 6*z - 2*z**2 - 3*z**5 + 2*z**4 + f*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 0*l**2 + 0 + l**3 - 10*l + 1\/1620*l**6 + 1\/108*l**4 - 1\/270*l**5. Let x(c) be the second derivative of j(c). Factor x(t).\nAnswer: 2*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 20, 20, 30, 56, 104?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r*v**4 - 553*r*v**3 - 344*r + 8 wrt v?\nAnswer: -4*r*v**3 - 1659*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.372 + 119.372. Which is the closest to o? (a) -4 (b) 3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 23. Solve -q = -m + 1, m - n*m - 5*q = 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -9*t**4\/2 - t**3\/6 + 76*t + 2. Let d(m) = -3*m. Give l(d(x)).\nAnswer: -486*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwxwwxw. What is prob of sequence xw?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*4\/8*(58 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 140. Put i, 15, 2 in decreasing order.\nAnswer: 15, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*c + 943767 = -76*c + 292402. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 38. Let n = 8731.955 - 8750. Let x = l + n. What is x rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**16*b)\/b)\/b**(-1\/17))**(-15))**(-28) assuming b is positive.\nAnswer: b**(121800\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*d**2 + 8)*(-4*d - 3 + 3) - 113*d**3 + 36*d - 3 + 114*d**3 + 17*d + d**2 - d**3 - d**2.\nAnswer: 8*d**3 + 53*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ec68 + -1?\nAnswer: 3ec67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*o - 12 = 0, -6 = -0*h + 2*h + 4*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.456935049 + -269.457536049. Let x = r - -269. What is x rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -w - 20, w - 2*d - 8 = -4*w. Let y = 2 + 0. What is the second derivative of 3*x + w*x**3 - y*x**3 + 5*x**3 wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**17\/j))\/j**(5\/12)*(j*j**(-1\/7))**(9\/7) assuming j is positive.\nAnswer: j**(-7829\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 147\/42*(-3)\/((-462)\/3212)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*w - 37, -3*w + w - 13 = -p. Let u = 16 - p. Let c(x) = x**2 + 6*x + 7. Calculate the least common multiple of u and c(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*168\/(-3388)*(-2 - -3) - (-1376)\/22.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*f**3 + 64*f**3 - 213*f + 446*f - 127*f wrt f.\nAnswer: 768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 0.029137178\nAnswer: -0.611880738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = 0. Let i be -2 + (2 - -3)*4. Suppose y = 2*o + 2 - i. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2409*x + 2316*x - 1860 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 170219 + -3\nAnswer: 170216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12584 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.1. Let g = 977 - 973. What is the nearest to c in -3\/5, g, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*d - 413881 + 416560 = 0 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1942?\nAnswer: 5826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -13 - 3. Suppose 271 = a*m - 45. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(2) + sqrt(38))\/sqrt(2) + sqrt(19) + 0 + sqrt(38)\/sqrt(2) - (sqrt(76)\/sqrt(4)*3 + 2).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5\/7, 2, -2\/79, 0.5?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160)*-1)\/(-6*sqrt(45)*-1))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -18 (b) 0.3 (c) -2\/13 (d) 0.91 (e) -1 (f) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)\/g**(-3))\/(g**(-2)\/g**(-7)))**(-42) assuming g is positive.\nAnswer: g**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 8 + 8)*(-3 + 0 + 8) + 0*b - 6*b + 4*b + (2*b + 0 + 0)*(-1 - 2 + 2) + 0*b + b - 3*b + 0 - 2*b + 0 + 4*b + 2*b - 5*b - b - 4*b + 3*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-o**5 - o**4 + o**4 + (0*o**2 - 4*o**2 + 3*o**2)*(o**3 - 5*o**3 + 3*o**3) - 5*o**5 - 4*o + 4*o + (-11*o**5 + 6*o**5 - 2*o**5)*(4 + 2 - 5)).\nAnswer: 24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-20))\/(1\/(-5)). Suppose 0 = 4*y + 4, p*y = -0*d - 4*d + 9. Suppose 22 = d*v - v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 843*z - 8400. Let l be m(10). Solve 5*s = 10*s + 5*t + l, 0 = 3*t + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-40)*-14*25\/(-175)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (64\/36)\/(6\/(-36))*-1. Let d(z) be the first derivative of 0*z**2 + 0*z - t*z**3 - 19. Let r(x) = -3*x**2. Calculate d(r(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.76 + -0.4. Let r = 5 - 5.04. Let a = i - r. What is the biggest value in a, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -25*b**6\/8 + 3*b**4\/8 + 11*b**3\/6 + 241*b**2. Find the second derivative of w(m) wrt m.\nAnswer: -2250*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42907?\nAnswer: 107, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q**2 - 14*q - 10. Let i(y) = 2*y**2 + 3*y + 2. Suppose 2*t + 9 = 5*j, 4*j + 3*t - t - 18 = 0. Give j*x(a) + 14*i(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4513 + 4157. List the prime factors of w.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/6 + 3*y**5\/2 + 5*y**4\/4 - 25*y**3\/3 + 106*y. Factor l(n).\nAnswer: 5*n*(n - 1)*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -11, -33, -55, -71, -75, -61, -23?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j + 4*j + 0*j + 2*j**3 - 5*j**3 - 5*j**3 - j**3 + (-3*j**2 + j**2 + 3*j**2)*(2 - 2 - 2*j).\nAnswer: -11*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 737.2071 centuries in millennia?\nAnswer: 73.72071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4952ca4 - 1?\nAnswer: -4952ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6824 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 995, 4557, 10477, 18755, 29391, 42385, 57737?\n\"Answer: 1179*m**2 + 25*m - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 3144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -111. Let h = 35.95 - t. What is h rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 4. Let x(c) = -4*c + 14. Let o(s) = -14*n(s) + 4*x(s). Calculate o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -25*q**4\/4 + 5*q**3\/6 + 1197*q. Let u(c) = 76*c**2 - 4*c. Calculate -4*f(z) - 5*u(z).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1021\/130 + 225\/26. Which is the nearest to -0.4? (a) -2 (b) y (c) -0.137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 101)*(-934)\/1868?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/14 + ((-3676)\/14)\/(-2) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -25. Let q(x) = -x**3 - 16*x**2 - 41*x - 178. Let o be q(-14). Sort o, u, 1, 3 in descending order.\nAnswer: o, 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kknkn. What is prob of picking 3 k and 1 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**2 - 37*y + 53. Let x(c) = 5*c**2 + 18*c - 28. Let t(s) = 3*n(s) + 7*x(s). What is t(15)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2121 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -294188 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 278*l**2 - 3096*l + 60. Give v(9).\nAnswer: -5286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 3. Let f = 0.1 + z. Let d be 16\/12*12\/(-4). Which is the closest to f? (a) -2\/7 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1537837 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 53646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212*c**3 + 5822*c**2 wrt c.\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46578820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38583617 is divided by 723?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*k**2*o + 8470*k**2 - 26623*k*o + 23*o wrt k?\nAnswer: 320*o + 16940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(4\/31)\/((g*g*g\/g**5)\/g**(2\/5)) assuming g is positive.\nAnswer: g**(392\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 21. Let u be l(-7). Which is the second biggest value? (a) -2 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3690 divided by -18?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28826 times -2102.9?\nAnswer: 60618195.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (57 - 130) - -12?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13)*h*h\/(h**(-9)*h)*h assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 48 - (93 + 70).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 63 + 10*m - 63 + 43*m**3.\nAnswer: 43*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 161242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*r = -2*r - 20788, 3*r - 9 = 0. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((108\/(-8))\/3)\/((-545)\/(-10900)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2531 = 5*j - 2632, -3*w + 5*j = -463. What is the remainder when 2943 is divided by w?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15 - (-123258)\/9. Suppose 6*b - 17643 = j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1067, -4219, -9473, -16829, -26287?\n\"Answer: -1051*t**2 + t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 144, 303, 462?\n\"Answer: 159*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/80*6)\/((-21)\/14 + -6).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20171640951131 minus -4?\nAnswer: -20171640951127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 36. Let v(p) = 2*p**2 + 25*p + 91. Let y be v(-7). Give u(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bd2d9 (base 14) to base 2.\nAnswer: -1110000000001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8083\/2 + -4042. What is the biggest value in -21, -3.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4619830319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-three fifths of a hour?\nAnswer: 38160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2127 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/22 and 43\/1789716.\nAnswer: 19686876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7015 = -5*i - 2*r + 876, -3*r = -3*i - 3675. Let k = -223 + i. What is k rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 22. Let q be d(-19). Which is the nearest to -0.1? (a) q (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65)*-2 - sqrt(65)) - (sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*1))*-4)\/(-6*-2*sqrt(720)*6).\nAnswer: 13*sqrt(13)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4761\/14 at least -340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726*j + 8869025 = -701*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 7*i + 2 + 12*i. Let m be h(-2). Suppose -m*w + 302 + 6 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17820*p - 138 + 17822*p + 39)*(p - 2*p + 2*p) in the form q*p**2 + c*p + r and give c.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 1. Let n be h(-1). Suppose -5*f + 10 + 0 = 0. Suppose 0 = 3*z + f + 7, -2*z = -2*t + 22. Solve n*g + 17 = -t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f + 1)*(5*f - 4*f - 3*f) - 2*f**2 + f**2 - f**2 + 16*f**2 - 2*f**2 + 7*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/13, 0.3, 1\/680, -5 in descending order.\nAnswer: 5, 0.3, 2\/13, 1\/680, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 88, 207, 416, 745?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40215 or -40216?\nAnswer: -40216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12563, -24593, -36623, -48653, -60683, -72713?\n\"Answer: -12030*k - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 49 - 23 - 30 + 23*i. Let z be (-16)\/((-144)\/(-27)) - -10. Let g(b) = 12*b - 2. What is z*g(n) - 4*k(n)?\nAnswer: -8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311864 (base 10) to base 5.\nAnswer: -1042434424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 118*p - 196. Calculate the smallest common multiple of (4 - 12)*-2*1 and d(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 + 305. Suppose -64*v + z*v = -170. Let u(y) = y**3 + 3*y**2 - 6*y - 3. Let d be u(-4). Solve -d*n = -v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 9 + 1. Let k be 6\/15 + (-4)\/q. Suppose -8 = 4*d + b - 5*b, k = 4*b - 20. Solve -d*g + 8 = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d - 673*d**2 + 675*d**2 + 1185*d**2 - 1186*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -0.0102?\nAnswer: 0.000408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -584, 6, 2, -2 in increasing order.\nAnswer: -584, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u, 28 = -v - 5*u - 73. What is the tens digit of (v\/6)\/(3 + 11\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*w + 132356 = -2128670. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 858 and 6292.\nAnswer: 18876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7242615 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 20*o - 36. Let m be (50\/(-15))\/(-3 - (-21)\/o). Suppose -a + 21 = 2*p + 3*p, -m*a = -3*p + 7. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 87?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4706238.\nAnswer: 2, 3, 784373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-18 + 1 - -6) + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001461928313 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 166*n - 8512 - 736 = 52*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5993 + 1944 = -82*j - 201*j - 14986 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606350915.\nAnswer: 5, 7, 23, 462529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/2 + 62113*t**2\/2 - 403635*t - 931500 = 0.\nAnswer: -2, 15, 62100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*m + 4*h, -9 = 17*m - 16*m + 4*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26349621 to the power of 1\/2, to the nearest integer?\nAnswer: 5133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 172, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 60*w**2 + 116*w + 113. Determine j(58).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**3. Suppose 6*t + 3 = -3. Let f be w(t). Let z be -3199998 - (-5)\/(f\/(-4)). What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1776\/7 + -15956\/63. Which is the fourth biggest value? (a) 0.1 (b) -230 (c) 0.3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -7 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70.78 - -70. Let y = 0.71 + d. Is -0.1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, k: 1, n: 5}. Give prob of picking 1 k and 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3120*g**2*s + 36*g + s - 21 wrt g?\nAnswer: -6240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38625090 a multiple of 2859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -37. Sort 0, -2\/7, m in descending order.\nAnswer: m, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 295*b**2 + 3*b - 4252. Let a(f) = -899*f**2 - 10*f + 12756. Let z(t) = -2*a(t) - 7*g(t). What is the first derivative of z(l) wrt l?\nAnswer: -534*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1, k: 2, b: 1}. What is prob of sequence jk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64355 + 3?\nAnswer: 64361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(l**3 - 5*l**3 - 2*l**3) - 2*l**3 + 0 + 0 as u + m*l**3 + r*l**2 + g*l and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7951470424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 796061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1668*x**2 - 8*x**3 - x**4 - 3309*x**2 + 1656*x**2 to the form p*x**4 + n*x**3 + y + f*x + d*x**2 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*y + 11, 0 = y - 5*f - 38 + 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 12}. What is prob of sequence nhhn?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5 (c) 76\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-3 - (2 + -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:41 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Suppose 4*o - v + 3*v = -30, 25 = -5*v. Let p = 1297 - 1294. Which is the third biggest value? (a) o (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3782435 hours in microseconds?\nAnswer: 1361676600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56 or 55?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*l = l + 6, -p + 4*l = -14. Let m be p*(-2)\/(-14)*2. Let g be (-1)\/(-6)*(1 + 0). What is the biggest value in 3, g, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -25. Let m(n) = -n**3 + 8*n**2 + 3*n - 9. What is the remainder when m(b) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -c + 36. Let k = -77 + c. Suppose 6*h = h + 2*p + 18, -3*h + 2*p = -10. Sort h, 2, k in ascending order.\nAnswer: k, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 55*w**2 - 34*w + 186. Give v(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 161 = 15*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 945332076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1674027803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 23*b**2 - 22*b + 2. Let p be d(-22). Solve 3*k - p*k = 5*g - 10, 2*g = k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -3, -9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - 2*sqrt(15)*6 - sqrt(90)\/sqrt(54))\/(-2*(3*(sqrt(147) + sqrt(147) + sqrt(147)*1) - sqrt(147)))*5.\nAnswer: 85*sqrt(5)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9382783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/2 - 63*d**2\/2 + 57*d.\nAnswer: 3*d*(d - 19)*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 302 - 137. Let f = x + -168. Is 52 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 125*g**3 + 3*g**2 + 64*g - 15. Let y(x) = -375*x**3 - 10*x**2 - 192*x + 50. Determine -10*m(l) - 3*y(l).\nAnswer: -125*l**3 - 64*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/73 at most as big as -51.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01126 from -2530.13.\nAnswer: -2530.11874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68421 - -13068441\/191. Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4 + -2)\/(-18))\/(1\/27). Solve -z*q - 14 = -32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*p**2*u**2 + c*p + 7*c*u**2 - 23*c*u - 2*p**2*u**2 - 167*p**2*u + 2*p**2 + 2*p wrt p?\nAnswer: 2*c*u**2 - 4*u**2 - 334*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 - -89. Suppose u - 2*k + 6 = 17, n = 4*u - 4*k - 28. Solve -2*j - 3*q + 6 = 0, q - 6 = -j - u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7920 - -63359\/8. What is the third biggest value in -38\/3, v, 0.1, 3\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 + -2)*1\/(-4). Sort -0.1, -4, d.\nAnswer: -4, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.36? (a) 0.5 (b) -1 (c) 2 (d) -2\/11 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 17. Suppose 4*c + 4*f + 229 = 7*c, 3*f = -3. Is ((-54)\/p)\/((-15)\/c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9315000 rounded to the nearest one hundred thousand?\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {d: 3, v: 3, w: 2, p: 5, x: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 - 4*g**2 - 6*g**2 + g**2. Let n(d) = -8*d**2. Calculate n(u(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048494618 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -15*u - 32. Let p = 18 + -8. What is the common denominator of -103\/12 and ((-2)\/u)\/(p\/78)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 0)*(66 - 66 + 14*f).\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -16.63. Let v = -0.53 + o. Which is smaller: -3\/2 or v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22274)\/(-111)*-3)\/7?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4594 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/30 - (-3)\/(-20))*(-1051024)\/5053.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67944589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 4 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130056, -130110, -130164, -130218, -130272?\nAnswer: -130326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0598412*12.\nAnswer: 0.7180944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5413, -10825, -16237, -21649, -27061, -32473?\nAnswer: -37885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 28, -2\/7, -770, 1, -4\/9, 0.5?\nAnswer: -770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*t = 4*z + 361*t - 43, 28 = 3*z + 5*t for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 3 - 15*z**3 + 0 + 0.\nAnswer: -9*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23370\/1066 + 2\/26. Calculate the greatest common factor of 19822 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/33 (b) -4 (c) -1 (d) 0.286 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/4 - n**2. Let h(l) be the second derivative of l**4\/6 + 101*l. Give h(w(i)).\nAnswer: 450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -2, 0.16, -1\/5, -1.3 in increasing order.\nAnswer: -34, -2, -1.3, -1\/5, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36760 and 2129.\nAnswer: 78262040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:59 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8059.00001108 + -8059. What is x rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12357643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 + u - 4. Let l(n) = n - 26. Let k be l(23). Let h be (1\/(k\/(-6)))\/(4\/6). Determine c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - ((-2)\/(-12) - (-55)\/(-15)). Which is the third smallest value? (a) -1 (b) y (c) 0 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 1:38 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-7)\/(7\/(-6)). Let v = -45 - -87. What is the greatest common factor of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in -3, -0.1, -2, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 4*c = -3*j - 1068, 0 = j + 5*c - 279. What is the highest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*w - 2*w - 36 + 38 - 11 + 11 + 90*w + (-4*w - w + 4*w)*(-4 + 2 + 3) + 4*w + 0*w - 6*w.\nAnswer: 52*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2349*k + 2343*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 1. Let i(g) = 2*g. Let b(r) = -3*h(r) + 4*i(r). Let s be b(-7). What are the prime factors of (16\/s)\/(1\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1613 - 1533. What is the remainder when 215 is divided by c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 15 = -19*o. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -74980189?\nAnswer: -74980189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)\/s**(5\/7))\/(s\/(s*s*s**(1\/4)*s))**(-5\/3) assuming s is positive.\nAnswer: s**(-1431\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 511*w**6 + w**2 + 251 wrt w.\nAnswer: 61320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*x + 4, x = -x - 5*d + 5. Let m(b) = b**2 + 6*b + 4. Let i be m(-5). Sort i, -4, x.\nAnswer: x, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 4*n + 2. Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*n*w**3 - 5*i*n*w + 569*i*n + 178*n*v*w + 2*v wrt w.\nAnswer: 6*i*n*w**2 - 5*i*n + 178*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 2976*w**2 - 179748*w - 512568.\nAnswer: -4*(w + 3)*(w + 63)*(w + 678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -766 + 760. Let y be -1*(j - 0 - -2). Solve 4*r = h + h + 10, y*r - 4 = -4*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - 28*c**2 + 20*c - 3. Let h(t) = 25*t**3 - 365*t**2 + 260*t - 40. Suppose -5*z + 13 = -2. Let i(u) = z*h(u) - 40*f(u). Factor i(q).\nAnswer: -5*q*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -8.5. Let t = 5.5 + v. Let d = -66255\/8 + 8282. Which is the second biggest value? (a) d (b) t (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 35*v - 15 = -32*v, 28*v + 140 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Let u be n + -1 - (-51)\/(-24). Let i be (-20)\/25*5\/3. What is the smallest value in i, 2\/11, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2258*g - 26507 + 415441 = -2244*g. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3712 and 25523016.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t + 11. What is x(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 621\/36 + 7\/4. Let h(r) = r**3 - 18*r**2 - 9*r + 38. Is 7 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/47 - -2369\/235. Let b = 4614 - 6604. Let q = b + 11891\/6. What is the common denominator of y and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1038059 + 2252059. What is p rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 5, i: 1, j: 3, s: 7, z: 2}. What is prob of picking 1 k, 1 i, and 1 n?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 2. Suppose 2*m + y = -2*y + 3, -4*y - 20 = 0. Let d be g(m). Solve 0 = 4*t + z + 8 + 4, -5*z - d = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -2*k**5\/5 - 12*k**2 - 29*k. Differentiate m(n) with respect to n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -315033\nAnswer: -4095429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 219, 2, 13349, -8 in decreasing order.\nAnswer: 13349, 219, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -457*k**5 + 85490*k**3 - 85490*k**3 + 80*k wrt k?\nAnswer: -9140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/6 + 11831*k\/3 - 7887\/2 = 0.\nAnswer: 1, 23661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)\/u*u*u*u**2)\/((u\/u**(-6))\/(u*u*u**(4\/11))) assuming u is positive.\nAnswer: u**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -999.\nAnswer: -1\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/20 - 1 - 0. Let r = 247\/6 + -85\/2. Sort r, m, 0.5.\nAnswer: r, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-27 - -8) - -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -238*h + 1666. Let x be i(7). Solve 20*q + 3*q + 23 = x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = 2*z - 2*t, 4*z - 3*t = -806 + 3505. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156 - 139 - 57\/3. Let w(a) = 2*a**3 - a**2 - 5*a + 6. Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 32\/40 - (-6)\/130. What is the nearest to 0.09 in -4, i, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*(b\/(b*b\/(b\/b**(2\/7))*b))\/b))\/b)**(-5\/7))**(1\/5) assuming b is positive.\nAnswer: b**(-9\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 673533.9 weeks in days?\nAnswer: 4714737.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 9, j: 3, a: 6, c: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4896 - 4891. Sort o, 12.3, -1\/8, 2, -2\/9.\nAnswer: -2\/9, -1\/8, 2, o, 12.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 379.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -2359, -5392, -9641?\nAnswer: -15106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 7*d - 4. Let h be f(-5). Let g(z) = -z + 10. Let i be g(7). Suppose y - 12 = -i*o, -4*y + o + 15 = 2*o. Solve y*c + h = -6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 15. Calculate the remainder when (-69)\/((45\/q)\/(-5)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-208)\/280 - 2\/5. Sort h, 3\/8, -1\/5, 1.\nAnswer: h, -1\/5, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2405566 divided by 6\nAnswer: -1202783\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16471142, -16471144, -16471146, -16471148, -16471150, -16471152?\n\"Answer: -2*a - 16471140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l - 1. Let y(t) = -11*t**3 - 3*t + 3. Calculate 6*u(s) + 2*y(s).\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00781216 to 4 dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016348 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -170, 1 in decreasing order.\nAnswer: 1, -160, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 5 - -2 - -34. Suppose 1483*z + 6 = 1487*z - 58. Calculate the highest common divisor of z and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -10*(1 + 0). Suppose -3*s = -4*p - b, -2*s = -p + s. What is the remainder when 29 is divided by (p + 2)\/(2\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 6*l**2 - 38*l + 18. Calculate z(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tto when three letters picked without replacement from {s: 1, j: 2, o: 1, t: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*d + 16 = -10, -4*f + 3 = -12*d + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104182.8 and -86927.6?\nAnswer: 191110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -107*r - 233. Determine n(-4).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-4)\/12 + 0). Suppose 0 = 2*b + h*y - 16, 11 + 15 = 2*b + 4*y. Solve b*q - 15 = t + 2*t, q = -4*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xee when three letters picked without replacement from xxeeeexexeeeee?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, e: 1, p: 1, f: 1, m: 2}. What is prob of sequence eo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthhthtwhthttttthh. What is prob of picking 2 t?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/21)*((k*k**(-11\/2))\/k)\/k)\/(k*k*k**(16\/7)*k*k*k**(-12\/11)*k) assuming k is positive.\nAnswer: k**(-5359\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -894 and 0.2?\nAnswer: -178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let q(l) = 11*l**2 + 1. Calculate the lowest common multiple of q(t) and 5 - (-12)\/(-4) - -14.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14191 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: Put -460, 3\/2, -5 in increasing order.\nAnswer: -460, -5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*c - 4652 + 4644 = 0, 0 = -3*y + 3*c + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -11. Which is the second biggest value? (a) -9 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19912 smaller than -3577\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 - -7. Let o = -17.2 - 107.8. Let m = 125 + o. Which is the closest to m? (a) x (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-2*t + 4 - 4).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, 0.3, -1\/62, 66, 0.2, 5, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5065305, -5065303, -5065301, -5065299, -5065297?\n\"Answer: 2*f - 5065307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 123, -1, 6.5, -1\/3 in decreasing order.\nAnswer: 144, 123, 6.5, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491332 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(2057) + 1))**2 + sqrt(17)*5 + -1.\nAnswer: 25*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Let y = -1.1 - -0.1. Which is the closest to 0? (a) -4 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89396346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1131014 rounded to four decimal places?\nAnswer: 0.1131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*j - 70 + 123, 2*j = -2*y + 10 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249\/847 - 1\/121. Suppose 21*f = 26*f + 15. Let r = 0.1 + 0. Which is the closest to r? (a) f (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*d + 12*d. Let v(k) = 7*k - 7. Let n(f) = -14*f + 13. Let o(c) = d*n(c) - 9*v(c). What are the prime factors of o(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3165*s - 3126. Determine y(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121658 divided by -1121658?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55*(-141)\/(-103400))\/(6\/(-128)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651761591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -207? (a) -2\/5 (b) 4 (c) -3 (d) 24\/5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1600)*-3*2)\/((2*sqrt(880))\/(sqrt(704)*-1)).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*38\/(-3)*-3. Suppose 2*b - 1 = -3, 2*w + b - 43 = 0. Let r = f - w. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 11 + 2 + 2*k + (7 - 3*k - 7)*(-1 + 0 + 0).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let m(g) = -g - 1. Let h be m(0). Let z be h\/(5\/4)*-5. Sort 2\/7, z, j in increasing order.\nAnswer: j, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152782?\nAnswer: 2, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61501316 by -2.\nAnswer: 30750658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10477633, 10477629, 10477625?\nAnswer: 10477621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9) + 158\/6. Suppose 3*k + 5*u = y, -k + u + 9 = -3*u. Suppose -k = -i - 0*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.17, -9, -1, 0 in descending order.\nAnswer: 10.17, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 12:52 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-26))\/(78\/7436)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*h + 2689*h - 676*h - 682*h - 669*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 2*k + 24, 69 = 7*k + 2*j + 109 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/44 - 530\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m**3 + 821*m**2 - 135*m + 372. What is p(63)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3644574967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 - -108.457. Let w = t + 4.543. What is the fourth smallest value in -3\/8, -0.5, w, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.08. Let g = -1.25 - -2.25. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.9. Let b = -0.826 - -1.19. Let f = b - 1.064. Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2014 + 2015. Which is the nearest to 8? (a) -0.3 (b) i (c) 4\/5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -34*l + 34 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g**3 + 3*g)*(-1 - 2*g + 1) - g**4 + 2 - 2 + 0*g**4 + 2*g**4 - 3*g**4 + (5 - 4 - 4)*(-g**4 + 9*g**4 - g**4).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-16))\/((-1)\/(-4)). Suppose -s*q = -0*q - 18. Let o = 10 + -6. Solve 0 = o*a - 2 + q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 times 44888?\nAnswer: 10773120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 425390657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 68. Let j be z(11). What is the greatest common divisor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -41*o - 50 - 43 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 4*w**6\/3 + 3*w**2\/2 + 1. Find the second derivative of u(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 370?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404056028?\nAnswer: 2, 101014007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7992, -7987, -7982, -7977, -7972?\n\"Answer: 5*y - 7997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100031332311002 - 0?\nAnswer: -100031332311002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*i + 1, -5*w + 34 = 4*i - 10*w. Let c = -1 + 38\/41. Is i > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69315034 and 188835.\nAnswer: 1039725510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -889620*f*o**3*u**3 - 70*f*o**2*u**2 + 1087*f - 6*o**2*u**3 wrt o.\nAnswer: -5337720*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 1\/4*g**4 + 1\/6*g**3 - 1\/60*g**6 + 0*g - 1\/84*g**8 + 2\/15*g**5 - 3\/70*g**7 + 0 - 19*g**2. Find k, given that x(k) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33088 (base 10) in base 13?\nAnswer: -120a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 1, -1, 275.5 in descending order.\nAnswer: 275.5, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - 15\/12. What are the prime factors of (-4)\/2*(w - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 561 (b) -4 (c) -1 (d) 20.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*v - 3442 + 3552 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1107*g. Let s(d) = -2106*d. Calculate s(m(c)).\nAnswer: -2331342*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {g: 4, r: 1, n: 2, d: 1, u: 3, p: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226868573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-13) + (-26)\/(-338).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 + 3*n**4 - 4*n**2 - 9*n**4 - n**4 - 2 - 2*n**3 to h*n**2 + o*n**4 + l + t*n**3 + r*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0.06, 3\/26, 4, -1085 in increasing order.\nAnswer: -1085, -5, 0.06, 3\/26, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6774622 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: Let y = -5.8 + 2.8. Which is the third smallest value? (a) -1\/2 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 959 + 4*l - 13*l + 865 - 1891. Determine h(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 20 - 865663*f + 865663*f - 12*f**3 as m*f**2 + s*f + o + v*f**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4695589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 + 122 = 11*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iunn when four letters picked without replacement from {n: 1, u: 3, i: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 124.3.\nAnswer: 124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03121? (a) -3\/169 (b) 0 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 - -1779786?\nAnswer: 1779828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b. Calculate l(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 30. What is the highest common factor of 189 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 19674?\nAnswer: 78696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13046, -13262, -13594, -14042?\nAnswer: -14606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -141*q - 4. Let a be j(2). Let i = a + 579. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 785?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 5 (c) 1.35 (d) 2 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/20 + ((-850)\/(-10200) - (-17)\/(-60))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6334 or -0.1077?\nAnswer: -0.1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 37 - 20 + 45)*(3*t**2 - 6*t**2 + 7*t**2).\nAnswer: 4*t**3 - 48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*d + 3)*(-3*d - d + 2*d) + (-4*d + 4*d - 2*d)*(-9*d - 758 + 758).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5\/2 + 3873*x**4 + 5000043*x**3\/2.\nAnswer: 3*x**3*(x + 1291)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 171949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrxf. What is prob of picking 1 f and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.01, -3\/7, -0.3, -3, -5\/9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -66031*p. Let v(g) = -2327*g**2. Calculate v(w(d)).\nAnswer: -10145936320247*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*u + 35, -3*l + 20*u = 17*u - 93. Suppose -l - 76*i**2 + 81*i**2 + 15*i + 7 = 0. What is i?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:42 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537 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 6:27 PM and 9:49 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11110242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -303.669 not equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126549781 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3192 and 66633.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 36 - 4*m**2 + 36*m**3 + 3*m**2 in the form a*m**3 + j + v*m + g*m**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39248 + 72415. List the prime factors of a.\nAnswer: 17, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 3*v + 495, 0 = 3*m - 4*v - 390. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -279 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 112165\nAnswer: -22433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6104 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*m - 4138104 + 4138104 + 10*m**4 + (-m**3 + 4*m**3 - 2*m**3)*(-m + 4*m - m) to the form n*m**3 + s*m + p + t*m**4 + w*m**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230674 - -457331. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 889 or 878?\nAnswer: 878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0005 - -1920.0005. Let i = v + -1898.289. Let y = -21.8 + i. What is y rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 31*t - 3714767 - 2667913 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m - 29. Let a be f(12). Solve -5*k = -4*d + a, 0 = -6*k + k - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(126)\/sqrt(144))\/(sqrt(175)*-1))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 72 = 4*o + 459, -5*t - 2*o + 2045 = 0. Calculate the lowest common multiple of t and 185.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 68 + 92 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/283 + -18407\/566. Find the common denominator of k and ((-435)\/20)\/29 + (-714)\/(-1352).\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Let y = -0.1 + z. Let x = -1507 + 1502. Which is the fourth smallest value? (a) 1 (b) -3 (c) y (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12193 and 86310?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75390432 by -24.\nAnswer: -3141268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/16 and 25\/773996.\nAnswer: 3095984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 0 + 0)*(-5 + 1 + 2 + 2 + 1 + 0 + (-4 + 2 + 0)*(4 + 0 - 3) - 2 - 3 + 7) as i*y + x and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*h - 15, o = -3*o + 12. Suppose 5*t + 5 = h, 0 = 4*j + 3*t - 195 - 130. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 109. Suppose -5*v + 39 = -31. Calculate the remainder when h is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198866.\nAnswer: 2, 17, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {j: 1, d: 4, l: 4, w: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 675752071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3660 - -4131. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2233427225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (192*k**2 - 67*k**2 - 59*k**2 + 2*k**3)*(-51 - 23 + 52) to u*k**3 + h + t*k**2 + r*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 7853546071?\nAnswer: -7853546071.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-4) + (2 - -127) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31995547, -31995557, -31995579, -31995619, -31995683?\nAnswer: -31995777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -5\/3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -19 + 10 - -21) + (-17 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -144, -170, -216, -288?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 5. Let f be 4 + (189\/15)\/(-3). Is f >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*4\/2)\/13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 + 8*u**2 - u**2 - 8 - 3*u**2 + 8*u. Calculate o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324112423 to the nearest integer?\nAnswer: 18003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5375*j - 1866*j - 431008 - 517563 for j.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/6 - 361791\/(-8052)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*i = -370*i - 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8468 and 0.205?\nAnswer: -1735.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517675 (base 10) in base 6?\nAnswer: -52310135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 749.8514 days?\nAnswer: 64787160960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8347*h**2 + 42*h + 8326*h**2 - 17*h - 26*h.\nAnswer: -21*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*n + 437 + 679 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 11:32 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/20*b**5 - 6*b**2 + 1\/12*b**4 + 0*b + 1\/120*b**6 + 0*b**3 + 0. Give y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -70 - 936955\/(-13590)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101 (base 11) in base 6?\nAnswer: -31015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d - 5. Suppose -8 = 5*n - n, 0 = -5*i - n + 38. Let r(k) = -4*k + 2. Suppose 0 = -91*x + 132*x - 123. Determine i*r(s) + x*p(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-7)\/3 - (-2)\/6). Sort t, -1, 1\/3, -0.1.\nAnswer: -1, -0.1, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 740\/(-20) - (5 - 2). What is the smallest common multiple of v\/(-180) + (156\/27 - 1) and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017889989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8224336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/24)\/((-3)\/(9\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*g + 543 - 19 = 11*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/21607 and -44\/44303247.\nAnswer: 753155199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/63*(-236)\/(-3))\/((-5072)\/4438)\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 486157679*d**2 + 486157679*d**2 + 27*d**3.\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16065 and 7206759?\nAnswer: 36033795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - 4\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9834)\/(-42) - (-7)\/(-49). Does 14 divide ((-5)\/((-30)\/(-56)))\/((-13)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 29. Let p(h) be the third derivative of -h**2 + 0*h + 0*h**g + 0 + 1\/270*h**5 + 0*h**3 - 1\/945*h**7 + 0*h**6. Let p(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -213, -377, -547?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**43)\/o**(-1\/27))\/(o**(-3\/23))**(-3\/7) assuming o is positive.\nAnswer: o**(191186\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**5 - v**4 + v**3 - v - 1. Let l(a) = -5*a**5 + 2*a**4 - 5*a**3 + 4*a + 4. Let u(x) = 12*i(x) + 3*l(x). Factor u(m).\nAnswer: -3*m**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - (-30)\/(6 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2801083 and 2609228?\nAnswer: 190473644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1423, -5544, -12387, -21934, -34167, -49068, -66619, -86802?\n\"Answer: 3*n**3 - 1379*n**2 - 5*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -d1db5?\nAnswer: -d1da7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 14. What is the smallest common multiple of q and 8\/4 - (-5)\/(20\/72)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*s**4 + j*s**2 + 2*j*s + 429*j + s**5 - 617614*s**4 - 30*s**2 + 8*s wrt s?\nAnswer: -24*j*s + 60*s**2 - 14822736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1490 < -1490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 4*f - 4. Let g(s) = -s**3 - 14*s**2 + 5. Let o be g(-14). Let m be z(o). Sort -1, -2, m in descending order.\nAnswer: m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22541202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = 0, -4*f + 16 = 19*b - 15*b. Let y = -3 + -2. Sort 1, y, -4, f in ascending order.\nAnswer: y, -4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3 - 41*s**2 + 39*s - 12. Let a(z) = -6*z**3 - 40*z**2 + 38*z - 12. Let d(t) = 4*a(t) - 3*n(t). What is the second derivative of d(l) wrt l?\nAnswer: -18*l - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 42*v - 255. What is q(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -34\/35 (b) 0.4 (c) 4 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.197777 + -2.24358.\nAnswer: -2.045803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 - n**3\/2 - 5*n**2\/2 + 8*n. Let a be q(-2). Let l(s) = 3*s + 0 - 2 - 3 + 3 + s**2. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let y(x) = 11*x + 3. Let p(w) = 4*l(w) + y(w). Differentiate p(i) wrt i.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7025\/2 < 3514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.35, -0.1, 89\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720*r**4 - 195*r**3 - 655*r**2 + 280*r + 20 = 0. Calculate r.\nAnswer: -1, -1\/16, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from msmmmffqffsfmmyffsf?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - r + r)*(-315*r**2 - 160*r**2 + 218*r + 479*r**2).\nAnswer: 12*r**4 + 654*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a + 5. Let h(l) = -2*l. Let z(r) = -r - 1. Let n(x) = -h(x) + z(x). What is -k(j) - 4*n(j)?\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/9)\/m**(4\/5)*m\/m**4*m*(m\/((((m*(m*m*m**3*m*m)\/m*m)\/m*m)\/m)\/m))\/m assuming m is positive.\nAnswer: m**(-386\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*(-7888)\/(-38454).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/245*10)\/(440\/28)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/((p*(p*p\/(p*p*p\/p**5))\/p*p)\/p)*p*p)\/p)\/(p*(p**4\/p)\/p))**(-6\/25) assuming p is positive.\nAnswer: p**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192974?\nAnswer: 2, 96487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and 0.079375.\nAnswer: -8.920625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 479 - 516. Let y be (-1 - -15077)*(v - -12). What is y rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 5:26 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)*2*-3 + sqrt(693) + sqrt(693))\/(sqrt(44)\/(sqrt(4)*-1)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/30*-226)\/(50\/(-3)) and 23\/95?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1215 (b) -0.037 (c) -763\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*m + 1, -5*m - 9 = -25*p + 26*p. Is 2\/52717 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3100083 - -0.3.\nAnswer: -3100082.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)\/2 + -18 + 17. Let b = -4 - u. What is the tens digit of 4 + (b - -48 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410 or 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 358 + -2 + -2 + 5 + -2. List the prime factors of (68\/12 - 6)*(0 - b).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/3444 and -59\/1580.\nAnswer: 1360380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 392*v**3 + 19594*v**2 - 37636*v.\nAnswer: 2*v*(v - 97)**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375230.\nAnswer: 2, 3, 5, 45841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38876*u - 875 - 556 = -38996*u + 1329 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -9. Put 1, c, -1 in descending order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 49*z - 5. Is 30 a factor of h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -44. Suppose m*z - 3*z + 1 = 0. Sort -1, -4, z, 3 in ascending order.\nAnswer: -4, -1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -32. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*-33*6. Suppose -9*i + 515 = 218. What is the greatest common factor of i and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 29175?\nAnswer: 320925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*x = 51, 0 = -0*m - 5*m + 3*x + 86. What is the remainder when m is divided by 132\/24*(-1 - -3 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (567\/(-36))\/(-21)*-12*1. Is o > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 18 = 6. Suppose d + 3*c - 97 = -d, -o*d = 4*c - 92. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16040, -16034, -16026, -16016, -16004, -15990, -15974?\n\"Answer: q**2 + 3*q - 16044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 746408 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 u when three letters picked without replacement from {c: 3, o: 5, h: 7, u: 1}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354853 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 80212.\nAnswer: -47\/40106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4104 and 108?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from {y: 2, p: 2, w: 2, z: 1, g: 12}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 20. Suppose j*k - 203 = -w, 0 = 4*w + 2 - 14. Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 31. Let h be (2 - (-256102)\/q)\/5487. Let m = 1\/3658 + h. Find the common denominator of 55\/4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oglgznsggggszzn. Give prob of sequence ogs.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/60 - 2*(-15)\/(-36). Which is the second smallest value? (a) -4\/5 (b) 2 (c) -24 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*s - 43 = 0, 3*u - 6*u + 2*s + 45 = 0. Which is the third smallest value? (a) -1 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*d + 30 = -2*d, 4*d = 16. What is the highest common divisor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1031767374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 96. Let l = 87 - m. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13132154 (base 6) to base 5\nAnswer: 102311240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/9 - 62\/99. Let r = 296 - 295. Which is the fourth biggest value? (a) 1\/2 (b) r (c) z (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:42 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.0436 millennia in years?\nAnswer: 297043.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 7. Let r(x) = 4*x - 15. Suppose 3 = k - 4. Let c(a) = k*u(a) + 3*r(a). Let s(h) = -h**2 + 6*h - 5. Let q be s(4). What is c(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.75 + -0.25. What is the second biggest value in o, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 143460*h - 430372. Calculate k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500200 and 7320?\nAnswer: 1500600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-46))\/((780\/468)\/((-10)\/(-27)))\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282.34 - 281.97. Sort -121, 0.1, p, 0.2 in increasing order.\nAnswer: -121, 0.1, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 2\/3 (c) -0.02 (d) 143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -403, 0, 309, 5, -8, -2 in decreasing order.\nAnswer: 309, 5, 0, -2, -5, -8, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.1, -17, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2 + -3 + sqrt(1539)*2*-4 + (sqrt(1900) + sqrt(1900) + (1 + sqrt(1900))*1 - sqrt(1900)) + (-1 + sqrt(1900))*-2)**2.\nAnswer: 276*sqrt(19) + 90463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = 12. Let w = c + 21. Suppose w*k + 3*u = 130, -k - 2*u = u - 37. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 74*n + 7. Let l(o) = -o**2 + 34*o + 4. What is 5*l(z) - 3*x(z)?\nAnswer: -2*z**2 - 52*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 2173210.\nAnswer: 412909.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 507 + 109 - 1341*x + 1343*x.\nAnswer: 2*x + 694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, a: 7}. Give prob of sequence aoa.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5072 is divided by 2348.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/177857175 and -89\/20.\nAnswer: 711428700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -82, -169, -274, -403?\n\"Answer: -a**3 - 68*a + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 10. Suppose q*m + 2*m - 15 = 0. Solve y + m = 3*x - 0*x, -4*x = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g, -4*i = g - 360. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -0.01. Let v = y - 5.04. What is the third biggest value in -0.5, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 269*g**2 - 270*g**2 - 9*g**3 + 0.\nAnswer: -9*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 30*g - 13. Let i(y) = 15*y - 6. What is -9*i(k) + 4*t(k)?\nAnswer: -15*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5 + 2. Suppose -t*z - 92 = -7*z. Let q = z + -14. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**3 - j**2 + 25*j - 5. Let n(x) = 2*x**3 + 23*x - 6. Let y(u) = 3*l(u) - 2*n(u). Let f(m) = -7*m**3 + m**2 - 10*m + 1. What is 17*f(r) + 6*y(r)?\nAnswer: r**3 - r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82 or -57272\/697?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001480443036 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4124.65*-0.5\nAnswer: -2062.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 55 = -4*c, 0 = -s - 3*c + 5*c + 55. Suppose s = 2*h - 5*l + 2*l, 4*l - 120 = -4*h. Calculate the smallest common multiple of h and 2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + 308\/(-49). Let t(n) = n + 2. Let s be t(v). Sort -2, s, -3.\nAnswer: s, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18982\/(-3360) - 5\/30. Let i = x + 13\/112. Calculate the common denominator of -93\/2 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103 - 113 + 203)*(-2*i + 9*i - i) to a*i + g and give a.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ommg when four letters picked without replacement from bmubgmo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8360 is divided by 8123?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -62, -142, -254?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205\/618 - -1\/618. Let t be 0 - ((-4)\/3 + 1). Factor f - q + t*f**3 - f**2.\nAnswer: (f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/187 - 2\/17. Calculate the common denominator of (-4980)\/432 - 4\/18 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i - 0 - 14. Let w be (9 - 7)*77\/i. Let k = w - -145. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -11, -7?\n\"Answer: 4*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u - 6. Let n be z(6). Let t = -28 - -33. What is the remainder when 192\/14 + n\/(-21) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrrrirririkiiirt. What is prob of sequence iiki?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 + 4*c**2 + 7*c**2 + 3 - c**3 in the form t + z*c + n*c**2 + w*c**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/6 + 17*k**4\/6 - 79*k**3\/6 + 47*k**2\/6 + 40*k\/3 - 32\/3 = 0. What is k?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomgoomwwwgommpwjjp. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 + 21*l + 7. Let k be c(-5). Solve 2\/13 + 4\/13*i + 2\/13*i**k = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1077 + 1121. Let h(g) = -22*g**2 + g + 2. Let y be h(-2). Let o be (y\/(-10))\/(2\/15). Calculate the greatest common factor of o and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from mmppmpmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 8 = -22. What is the nearest to -1 in 3, -2\/49, m?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167532 (base 8) to base 4.\nAnswer: 32331122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230866\/21 + 10994. Let v(n) be the first derivative of n**2 - 4\/7*n + 18 + x*n**3. Let v(d) = 0. Calculate d.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211002220 (base 3) to base 8\nAnswer: -37364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + 920\/25. Let t = y + 59. Suppose -v + t = 23. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 598957*i - 26354111. Calculate s(44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -6, 5, 3.\nAnswer: -7, -6, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 6*l. Suppose l = -v - 40 + 308. Determine z, given that 25*z - z - 3*z**2 + v - 304 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1528795648 - -190.13\nAnswer: 1528795838.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 - -0.2. Suppose 4*z = 11 + 5. Suppose -u - 10 = u + z*b, 4*u = b + 7. What is the third biggest value in k, 3, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346227869.\nAnswer: 2346227869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/21 and 17\/141?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/12 + q**4\/24 + q**3\/6 + 2*q**2. Let d be 2 + -1 - 4\/2. What is the units digit of l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -3*q**4 - 40*q. Let c(d) be the third derivative of d**5\/60 + 14*d**2. Calculate c(l(s)).\nAnswer: 1296*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - f - 4, 5*c + 15 - 7 = 3*f. Let m be ((-4)\/2)\/c*65\/26. Is (m\/(-10)*(-1 - 69))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) -141 (c) 9 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c3413 - 1?\nAnswer: 1c3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30312001 (base 4) in base 10?\nAnswer: 52609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, 1 w, and 1 c when four letters picked without replacement from {r: 8, w: 2, n: 1, z: 2, c: 1}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70965 - 1632481\/23. Is j at most as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 0 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -499, 250, 30 in increasing order.\nAnswer: -499, 30, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**2 - 204*j + 140. Calculate the remainder when 2635 is divided by r(-20).\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 395\/(-4740)*408\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = -4*k. Let f(w) be the third derivative of 5\/6*w**3 + 0 - w**2 - 1\/8*w**4 + 77*w. Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 - (-25 - (-10 - -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 2. Let v be -2 - (-15)\/6 - (-6)\/4. Suppose -c - v*c + 29 = -2*b, -4*c + 77 = 5*b. Suppose -c = -6*x - 7. Give z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -779*i**8\/168 - i**4\/6 + 171*i**3\/2 + 755*i**2. Find the second derivative of l(d) wrt d.\nAnswer: -31160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 - 388 = -41*k. What is the second biggest value in 2, 730, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4329*l**3 + 2949*l**2 - 28264760 wrt l.\nAnswer: 12987*l**2 + 5898*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 2 - 2)*3\/(-27).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 266 (base 11) to base 15\nAnswer: 15e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3000)\/(-1350))\/(1\/36). What is the greatest common factor of 9600 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-4)\/24*4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399035887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 10:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13054?\nAnswer: 2, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -298\/53 - -4523\/795. Let t = 0 - 0. Sort -0.3, t, -2\/7, a.\nAnswer: -0.3, -2\/7, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/5052 and -73\/1486972.\nAnswer: 4460916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56243549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*r + 382. Let a be 12\/(7 + -6)*-4. Let w be (-1)\/(-4 + r\/a). What is the greatest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2448 by 153.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9321032.42 rounded to the nearest one thousand?\nAnswer: 9321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-173 - -163)\/(-4 + (-532)\/(-128)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.191 + 2.191. Let s be (0 - -1) + (-1 - -4). Put 1\/4, j, s in decreasing order.\nAnswer: s, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7858226*o - 3687. Let d(l) = 8523*l + 4. What is -3687*d(w) - 4*u(w)?\nAnswer: 8603*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/25)\/(3\/20). Suppose -5*a + 11 = 4*k - 10, -k - 2*a = -6. Suppose n = k*z - 2*l, z = -z - 2*l. Solve -3 = -c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 18 - 7*m to the form z + g*m and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u = -17*u - 65 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10645505 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5071094 at least as big as -5071151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 20. Suppose 0 = -3*k - 912*n + 917*n - 51, 23 = k + 5*n. Calculate o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*z + 67443 = 0, -22 = 4*z - 6. Is (8\/6)\/(-2)*g\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*h - 5*h**4 - 1 - 2*h**3 - 1 - 90*h**2 + 88*h**2 - 46*h in the form u*h + s*h**2 + f + n*h**4 + g*h**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1621 + 502?\nAnswer: -111c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvvhhvvvvvvvveevvv. What is prob of picking 1 h and 3 v?\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/(a*a\/(((a**(-1\/4)*a)\/a)\/a)))**(7\/3)*a**(-7)\/(a\/(a**2\/a))*(a**(-1)*a)**39 assuming a is positive.\nAnswer: a**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/4))\/t**(1\/4))**(-48)\/(t**(2\/13)\/(t**(-2)*t)*t**(-6)\/t**4) assuming t is positive.\nAnswer: t**(-197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 9*r - 13. Let x be n(-11). Suppose -4*a - q + 36 + x = 0, 3*q + 9 = 0. Is a\/(-4) + 521 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91302.79g in kilograms?\nAnswer: 91.30279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2718)\/(-21) + 36\/63. Let m be 1\/(-2) + v\/20. Suppose 3*d + 5*z = 262, m*z = d + 3*z - 78. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144 - 0.19?\nAnswer: 4143.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*2)\/((-8)\/20). Let g be r*((-2396)\/(-10))\/2. Suppose 5*s + 3*h - g = 0, -2*s - 7*h + 3*h + 234 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/3 - 2*m**4\/3 + 6*m**3 + 4*m**2\/3 - 49*m\/3 + 10 = 0. What is m?\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145\/12 + -34\/3. Let r = 179\/120 + 1\/120. Find c, given that r*c + 3\/4*c**2 + v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3090258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7485 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p**6)\/(p\/((p\/((p\/(p\/p**(2\/17)))\/p))\/p)*p**(-8)\/p)*(p**(-2))**(6\/23)\/(p**2)**15 assuming p is positive.\nAnswer: p**(-4551\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 8*t. Let z = 15 - 23. Let q be v(z). Which is bigger: q or -2\/33?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 179.2301 millilitres?\nAnswer: 0.1792301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:41 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -64*c + 8. Let z(v) = 186*v - 23. What is -8*k(f) - 3*z(f)?\nAnswer: -46*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)*5\/3. Suppose -g = -s*g. Solve 4*o = 3*q - 9, 2*q = -o - g*q - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -880, -878, -876?\n\"Answer: 2*b - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4849 + -4849.032107. What is i rounded to 4 dps?\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3744 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1899835117369 + -0.4?\nAnswer: -1899835117369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + -3)**2 + -3 + (sqrt(2)*3)**2)*6.\nAnswer: -306 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -k + b, 3*k - 2*b + 0*b = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.259997407 + 39.26. What is l rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 1579568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s**3 + s**3)*(-s**2 - 3*s + 3*s) + 17802*s - 8925*s - 9007*s - 33*s**5.\nAnswer: -32*s**5 - 130*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 - 2*i**2 + 3*i**2 - 4*i**2 - i**2 + (-1 - 2*i + 1)*(2*i - 5 + 5) + i**2 + 0*i**2 - 2*i**2)*(-76 + 121 + 98).\nAnswer: -1287*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 482 + 32. Suppose -5*n - 93 = -3*f, -44 = -f - 5*n + 7. Calculate the highest common divisor of f and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**3 - 156. Let d(v) = -2*v**2 - 1. Give r(d(g)).\nAnswer: 12*g**4 + 12*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -6. Suppose l = 5*s + 1, 0 = -4*l - 5*s - 35 - 11. What is the units digit of (-1 + 37)*c\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 72, -2837*a + 83 = -5*w + 2835*a - 5666*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202601 times -0.03?\nAnswer: 66078.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201331 (base 4) in base 11?\nAnswer: -478a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(40)\/(sqrt(288) + (sqrt(288) + (-2*sqrt(288) - sqrt(288)) - sqrt(288)) + sqrt(288) - sqrt(8))*2.\nAnswer: -4 - 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377652127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33304 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1069160 divided by -5\nAnswer: -213832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9*-3 - -47. Suppose 5*q + 20 = 4*m, 3*m + 4*q - o = -2. Suppose -3*t - m + 76 = 0. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (7 - (45 + 7)) - ((1 - 10) + 6).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 71.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 29*w + 1. What is the units digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044*v = 1055*v - 352. What is the remainder when 108 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6\/l)\/(l*l**(-4)))\/((((((l\/(l*l**(2\/5)\/l))\/l)\/l*l)\/l)\/l)\/l)**(-7\/4)*((l**(1\/2))**(4\/5))**(-2\/73) assuming l is positive.\nAnswer: l**(2977\/1460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -0, -2*t - s = -116. Let y = t + -26. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 218 and 31.\nAnswer: 6758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.14 in -5, 2\/89, -3, -10?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1 + 16*i + 0*i + 6*i - 6*i. Is t(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -1\/24*h**3 - 1\/96*h**4 + 3 + 1\/20*h**5 + 0*h**2 + 3*h - 1\/48*h**6. Let s(g) be the first derivative of f(g). Factor s(y).\nAnswer: -y*(y - 1)**2*(5*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -25. Let p = 5 + v. Suppose 2*m - 4*m + p = -4*w, 0 = 2*w. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f - 2*f**2)*(0*f + 0*f - f**2) + f**4 + 5*f**4 - 3*f**4 + (-f**2 + 0*f**2 + 3*f**2)*(-6*f**2 + 3*f**2 + 0*f**2).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.974045 to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from 406268365000.\nAnswer: 406268364999.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - 12798 + 12796 + 5*y to x*y + m and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -14) + (2 + -7 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 4*j + 16. Let a be o(6). Let l be (-78)\/12 + 5 + 26\/a. Suppose 20 = 4*m - m + l*n, -5*m + 2*n + 54 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**4\/4 - 2*s**3 - 2*s**2 + 7*s - 1. Let b be 3\/(66\/4) + (-6042)\/1166. Determine h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 6 + -28 + -1 + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 4 (c) 251 (d) -46 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18525 and 504375.\nAnswer: 124580625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298040232 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*q + 95550 + 37602, 0 = 4*q - 4*l - 177544. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779237 is divided by 315.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 0*u**2 + 9 - 6*u + 24*u - 13*u - 6*u**2. Is v(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8648 - -32144. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*(-8)\/9588*153\/540.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 10*i + 4 = 0. Suppose 5*f = -20, 4*d - 1720 = 3*f - i*f. What is the units digit of 66\/d + 386\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -41. Suppose -c = 2*z - 37, 3*z = -j*z + c + 48. What is the greatest common factor of z and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 37*a**7\/42 + a**3\/2 + 3*a**2\/2 + 118*a. Find the second derivative of q(s) wrt s.\nAnswer: 740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7445915 is divided by 1489180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40225529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -895\/17 at least -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a. Let d(c) = -1115*c. What is d(h(x))?\nAnswer: 6690*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -49, -3, -2, 473, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from nwnzbooonqnooobqn?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x**4 - 2*x - x**4 + 0*x**4 - x**4 + 1710*x**4 - 3869*x**4 + 1833*x**4 - 3 + 3 + 3*x**4 + (x**2 - 3*x**2 + 4*x**2)*(0*x**2 + 2*x**2 - 3*x**2).\nAnswer: -328*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 58) + (-43 - -98)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 242. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:09 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-18 - -4) - -15 - -39.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19038067?\nAnswer: 19038067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2105, 4345, 6587, 8831, 11077, 13325?\n\"Answer: b**2 + 2237*b - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.3 * 1.44925.\nAnswer: -16.376525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -427*h - 3836. Let u be g(-9). Solve -2*m + u = 29*j - 28*j, -5*m - 5*j + 30 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i**2 - i. Let t be y(-1). Let n = -10 - t. Suppose -95 = -5*g - m - 2*m, 5*m = 25. Calculate the highest common factor of g and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -28. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152*21.\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/13*i**2 - 4608\/13 + 1344\/13*i.\nAnswer: -2*(7*i - 48)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbjbjbbzjnt. Give prob of picking 2 j, 1 z, and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*x - o + 4*o, 2*o - 185 = -5*x. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 5*o - 3. Let x be f(-4). Let z be ((-1)\/2)\/(x\/(-12)). Let m be (9\/z)\/((-6)\/(-32)). Solve -m*s = -4*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -43*c + 1. Let b be (15 - (-11 - -21)) + 1\/1. Suppose b*p - 500 = -19*p. Calculate the lowest common multiple of w(-1) and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -5, -2\/13, 1.91?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/504*-24*-30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/15 and (-2)\/(-5) + (-74041)\/10890 + 7.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 45*t**2 + 36*t + 226. What is the tens digit of f(-44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f - 39*f = -491 - 1481 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 10*q**2 - 8*q + 12. Let n be o(-9). Solve 0 = -4*x + n + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.155522427 and 89138.\nAnswer: 89138.155522427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u - 5*n + 113, -56 = -u - 2*n. Let w be (4\/6)\/(15\/u*4). What is the biggest value in w, -3\/2, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1051.9999618 + -1052. Round a to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-9) - (-614)\/6. Let n be (40\/12)\/((-4)\/d). Let p = -39 - n. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35491, 71002, 106507, 142006, 177499?\nAnswer: 212986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*i**2 + 52*i**2 - 30*i**2)*(7 - 100 - 95) to g*i + j*i**2 + q and give j.\nAnswer: 7144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxc when three letters picked without replacement from {x: 9, e: 2, c: 8}?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38116861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -374*p - 8972. Let j be t(-24). Suppose -3*a - 12 = 4*k, 5*k + 3*a + 17 = 2. Sort -134, k, -5, j.\nAnswer: -134, -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654650?\nAnswer: 2, 5, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815555414?\nAnswer: 2, 3, 67, 4516307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1139 - 1117 - 611607*j + 611598*j.\nAnswer: -9*j + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (10 + -32 + -60 + 63)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1642*g**3 + 5*g**2 - 8925*g + 5. Let r(i) = -821*i**3 + 2*i**2 - 4463*i + 2. Let y(p) = -2*d(p) + 5*r(p). Find the second derivative of y(w) wrt w.\nAnswer: -4926*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(405) - -1*sqrt(405)))**2 - (-4 + 1*sqrt(405)) - -4*((sqrt(405)*2)**2 + 3).\nAnswer: -9*sqrt(5) + 46996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 6, -47, -154, -333, -602, -979?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 282 = -0*c + 2*c, -3*c - 409 = b. Let q = c - -141. Sort q, 2, 0, 9 in ascending order.\nAnswer: 0, 2, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4115762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -524*m + 532*m + 72 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1435157 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8*i - 13 + 1 + 6.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -214, -825, -1832, -3235, -5034, -7229, -9820?\n\"Answer: -198*s**2 - 17*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-19))**10\/((m**(-16\/5)\/m)\/m)**(-3\/38) assuming m is positive.\nAnswer: m**(18961\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 607*c + 751*c - 1 - 4 - 872*c - 7 to y + t*c and give t.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 329\/21 + -15 - (-4)\/(-3). Which is the nearest to k? (a) -9 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-7)*u))\/(u\/u**(-1\/4)))\/(u**(1\/4)*u*u\/(u\/u**3)*u))\/((u**(-1\/2)\/u)**(18\/11))**(-50) assuming u is positive.\nAnswer: u**(-2689\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*r**3 + 1012*r**3 - 481*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/4)*34\/((-42)\/(-21))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11172?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4 - 18\/(-6). Let q be 13\/(-12) - (-1)\/3. Let s = -2.5 - -0.5. What is the nearest to 2\/7 in y, s, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*k**6*u**2 - 17*k**6*u + 84*k**2*u**2 + 10*k**2 + k*u**2 wrt k.\nAnswer: 2280*k**3*u**2 - 2040*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -904712 divided by 2?\nAnswer: -452356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19803 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -177*s + 9. Let c(v) = -354*v + 15. Let r(l) = 3*c(l) - 5*x(l). Let q(b) = -2*b**2. Calculate q(r(j)).\nAnswer: -62658*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b336293 - 1?\nAnswer: b336292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/62 - 0)\/(-2). Let n = m - 461\/124. Calculate the common denominator of n and 97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -570 by 2.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 53 = 3*g, 0 = 5*g - 6*l - 140 + 219 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450440, -900907, -1351402, -1801925, -2252476, -2703055?\nAnswer: -3153662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9782*k*v*w + 2*k*v + k*w - 75067*k + 61*v*w - v - 91*w wrt v.\nAnswer: 9782*k*w + 2*k + 61*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/120 - h**5\/5 - h**4\/2 - 5*h**3\/3 + 6*h**2. Let q be k(13). Solve -q*y - 11 = 2*n, 0 = -4*n - 0*y - 4*y - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/840 and 61\/660?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/2)\/((-168)\/(-266)) and -103\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.01 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55604980 by 5560498.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6134*o - 1054.\nAnswer: 6134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 1. Give w(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23, -2, -5 in decreasing order.\nAnswer: 23, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -127*a**2 - 77*a - 47. Let t(m) = 57*m**2 + 38*m + 23. Let y(w) = 4*r(w) + 9*t(w). Determine y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/3 - 5681*i**4\/3 - 189973*i**3 - 4805767*i**2\/3 - 12543080*i\/3 - 2767184 = 0 for i.\nAnswer: -5579, -93, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*o - 2*u + 4*u, 5*o - 4*u - 180 = 0. Let x = -17 + o. Suppose -x = -2*j + 3*v, 0 = 3*j - 0*j - 5*v - 30. Solve -z = -6*z + j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1361 in 0, -1\/2, 2\/5, 6, -261?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3 - 3)*(5 - 1 - 3) - 20*r**2 - 2*r**2 - 48*r**2 - 5*r**2 + r**2 + 2*r**2 + (-3*r + 3*r - r)*(r - 3*r + 3*r) + 2 - 2*r**2 - 2.\nAnswer: -77*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-627)\/(-44)))\/(-63*32\/(-3888))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717858 is divided by 32625.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144163853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1)\/sqrt(12) - 3*sqrt(117).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 26140225?\nAnswer: 26140215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 825.9 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*w = 0, 2*w = -5*k + 4*w. Let z be 191\/(-12)*(k + 1). Let a = -199\/24 - z. What is the common denominator of a and 49\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27\/46 - -1119\/92. Let i = -158 - -98. What is the common denominator of (-985)\/i - (-3)\/9 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (286\/39 + -7)*0. Which is greater: -3\/610 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 27?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, -10 in descending order.\nAnswer: 3, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/186 and 3\/26?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 4*w - 13. Let g be p(6). Let k(m) = 10*m**2 + 2*m + 1. Give k(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-9)\/2 - (-123)\/(-2). Let d = -542\/9 - b. Determine r, given that 0*r**2 + 0 - 2\/9*r**3 + 0*r + d*r**5 + 5\/9*r**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 249552?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16756 by -4.\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -51*g + 140. Is q(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131123 + -11?\nAnswer: 1131112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 1819 + 4*f - 1795.\nAnswer: f + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 348\/295967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*m = -3*m + 1079, 5*m - 425 = -2*r. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 104 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 83, -2, 4, -5, 8 in descending order.\nAnswer: 83, 8, 4, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9087.3 - -9087. Which is the nearest to 4\/7? (a) h (b) -18 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79426, 79731, 80234, 80929, 81810?\nAnswer: 82871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 3)*(0*b - b + 3*b) + 3302 + 3131*b - 3302 + (0 + 2 - 1)*(-1 - b + 1) + 2*b + 3*b - 6*b)*(0 + 1 - 2).\nAnswer: -3125*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 87. Suppose 5*t + 0*t = -2*w - 11981, q*w = 4*t + 9598. Let f = 3498 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from uiuuuwxxuwxwxwixxwx.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/49 - 12\/(-70). Let o = g - 73\/105. What is the biggest value in 22, o, -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166084 is divided by 719?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.4552 months in years?\nAnswer: 6.9546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 11. Let t(s) = 71574*s. What is p(t(y))?\nAnswer: 143148*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 15 = u, -27*u + 6 = -31*u + 2*o. Which is the third biggest value? (a) 52 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -828 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2554 + 8?\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 907620*d + 12705896.\nAnswer: 4*(d - 226891)*(d - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = t + 85, -4*t + 12 = 0. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/3 + 4. Suppose 2*h = h + 2*i + 5, 3*h - 1 = -i. Let c = h + -3. What is the second biggest value in c, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94031, 752402, 2539459, 6019544, 11756999, 20316166, 32261387, 48157004?\nAnswer: 68567359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*w + 2*w = -16, 3*w - 7 = o. Let x(r) = -2*r**2 - r - 3. Determine x(o).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 4*i**3 + 9*i**3 - 702 - 15569.\nAnswer: -i**3 - 16271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304 - 287. Solve -3*k - 23 = -v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in -0.084, -4, 4?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 195.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtdwxxd. Give prob of sequence xxdt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 plus 2085?\nAnswer: 2083.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - n = -11*x - 9, -6 = -2*x + 4*n. Suppose -5*p - 25 = m - 174, -3*p + 93 = -x*m. Solve 0*g + p = 6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 687 = 4*r + k, -2*r - k + 4*k + 333 = 0. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) 2\/11 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**4 - t**4 + 3*t**4)*(0 - 1 + 2 + (3 - 1 - 3)*(-3 + 3 + 2) - 4 + 3 + 2 + 6 - 3 - 2) as r*t**3 + v*t + x*t**4 + z + i*t**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 294248382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159581394?\nAnswer: 2, 3, 7, 157, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 59\/16 (c) 1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k**2 + 0*k)*(71 - 20*k**3 - 71).\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j - 2*a, -5*j - 4*a + 13 = -5*a. Suppose 0 = -5*x - 86 + 16. What is the units digit of (2 - 3)\/(j\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5)*(4 + 1 - 3)*(-26*g**4 + 48*g**4 - 23*g**4 - 2*g - 13).\nAnswer: 10*g**4 + 20*g + 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24414 (base 6) to base 14.\nAnswer: -145c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95\/364 - 3\/28. Let j = 11\/13 + -53\/78. Let w = -7 + 4. Sort w, h, j in decreasing order.\nAnswer: j, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29444.6 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055338523 to 6 dps.\nAnswer: -0.005534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - -36. Suppose -2*z = 2*s - d, 4*s = 4 + 16. Suppose -5*o - 5*n + 115 = 0, -50 = -3*o + o - 3*n. What is the remainder when z is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/55900 and 15\/15652.\nAnswer: 391300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01029 and 85.2.\nAnswer: -0.876708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(2\/67)*p)*p*p*(p*p**(2\/7))\/p*p**(4\/5)*p**(1\/6))**(-44) assuming p is positive.\nAnswer: p**(-1015982\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 509093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-48)*(-10)\/35.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r + 10. Determine l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 86. Let u be z(14). Let m = 577 - u. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 48 = -17*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13590*m + 13585*m = w + 14, 3*m = w + 14. Factor -37\/2*z**2 + m - 9\/2*z - 20*z**3 - 2*z**4.\nAnswer: -z*(z + 9)*(2*z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - s = -5, 2*s + 10 = 2*l - 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose 0 = -n + z*r + 3*r + 9, -4*n - 8 = 2*r. Let y be 3*(-2)\/(-2) + n. Is y <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:37 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:29 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 3*j. Let x be d(2). Suppose 3 = -6*f + 2*f + 3*s, -3*f + x = 2*s. What is the second derivative of f*l + l**2 + l - 3*l**2 wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*v = -5, -s - 2 = -0*v - 4*v. Let m be ((-18)\/(-15))\/(9\/s). Let 4\/3*h**3 + 0*h**2 - 2\/3 - m*h + 2\/3*h**4 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548520 divided by 91420.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 175 and -2.9.\nAnswer: 172.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((176\/(-3))\/11).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - 520aa?\nAnswer: -520bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -22 (c) 0.3 (d) -109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1162)\/140 + 9)\/((-2 + 3)\/10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 275*k**3 + 87170*k**2 + 9389605*k + 336982665. Let o(y) = 137*y**3 + 43589*y**2 + 4694803*y + 168491333. Let l(u) = -5*o(u) + 2*z(u). Factor l(p).\nAnswer: -5*(3*p + 323)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2503*a**2 + 2230*a - 5. Let q(y) = 2506*y**2 - 2229*y + 6. Let w(x) = 5*q(x) + 6*r(x). What is the second derivative of w(f) wrt f?\nAnswer: -4976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135747\/5 + -27149. Which is the third biggest value? (a) -32 (b) q (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 28*a**2 + a - 8. Let h = -14639 + 14667. Calculate m(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8522, 8594, 8714, 8882, 9098?\nAnswer: 9362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -5, 1, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**5 - 421877*q**3 + 1557539*q.\nAnswer: 80*q**3 - 2531262*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/7 (b) 1 (c) 4 (d) 0.2 (e) -12944\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:55 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/33379477 or 0?\nAnswer: -54\/33379477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.605 - 2.794. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -280 and 16001.\nAnswer: -4480280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000363468 rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/91)\/(-9) + (-70290)\/630?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -1093, -4 in decreasing order.\nAnswer: 7, 4, -4, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, p: 1, v: 2}. What is prob of sequence vh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 18. Let i(y) = -2*y. Let a be i(j). Suppose -3*o - 24 = -2*g, a = 4*g - o - 0. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3289 and 85\/1794?\nAnswer: 19734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39 and 2079.\nAnswer: -81081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = j - 2*n, -31 = 3*n - 46 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(81\/54 + 18\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -27*k + 28*k. Let r be (1 + k\/5)*145\/(-609). Let z = -0.02 - -1.02. Which is the closest to -1? (a) -3\/4 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:18 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 12*w + 24. Let j be d(8). Let u be -8*((-2)\/j - (-9)\/(-12)). Calculate the remainder when ((-58)\/u)\/(-5 + (-36)\/(-8)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.6 * 3.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 - 2*a + 3. Let y(o) = o**2 - 3*o + 2. Let f be y(3). What is the remainder when x(f) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*t - 11249, 0 = -19*t + 15*t - k + 8989. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 1 + 1)*(11 + 7 + 4) + (3*p**2 - 4*p**2 + 2*p**2)*(-3 + p + 3) + (4 - 5 + 2)*(3*p - 3*p - 4*p**2)*(-p - 4*p + 2*p).\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -20. Let h = -57 + 96. Let y = -28 + h. What is the highest common factor of f and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/12 + m**3 + 3*m**2 + 108*m - 1. What is f(-11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5150*f + 5192*f = 20790. Suppose l = 71 - 26. Calculate the greatest common factor of l and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1706 and 1601236246.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/24 + 19*c**3\/6 - 29*c**2. Let y be h(18). Solve -5*w - 24 = y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 3*(sqrt(539)*-2 + 4*sqrt(539)))*-3.\nAnswer: -756*sqrt(11) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 87. Sort y, -1, -6, 4.\nAnswer: -6, -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 18, 9, -20, -75, -162, -287?\n\"Answer: -s**3 - s**2 + 15*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.708 + -0.705. Let l = f - -3.997. Which is the third smallest value? (a) 5 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 - -93 - (-2 + -25)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (7 + (-8 - 0)) - 6) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384900.279 rounded to the nearest one thousand?\nAnswer: -1385000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4 - 2 - 157*g**3 - 1 + g + 0. Is b(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1026\/38)\/567*-15.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 68. What is the greatest common factor of l and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 8*t - 12. Let q be b(-8). Let l be ((-14)\/8 + 1)*q. Suppose -4*r + 0*r = 4*a, 2*a - r = l. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.825, 13, -350 in descending order.\nAnswer: 13, -3.825, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*x - 7144 = -6847, 14*x = 5*v - 379 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.1 (c) 0.1 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4010 + 3398 = -34*w. Put -72, 4, w in ascending order.\nAnswer: -72, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48390)\/(-4839) - (632\/63)\/1\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/(-32)*-2 + -4. What is f in -1\/2*f**2 + 0 + 1\/4*f**5 + 0*f**3 + 1\/2*f**4 - v*f = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Determine s, given that -22*s - 4*s**3 + 1 + t + 32*s**2 + 2*s**3 - 12*s**3 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1486)\/(-4)*(9 + 1). Suppose 5*a = -0*a + z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11835.618 months in years?\nAnswer: 986.3015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134939*q**3 + 159335*q?\nAnswer: 809634*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205356814, 410713624, 616070432, 821427238?\nAnswer: 1026784042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, 5, -49 in increasing order.\nAnswer: -49, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, n: 2, x: 3, q: 5, f: 1}. What is prob of picking 2 n and 1 x?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2472 - 1372 - 4902 + 23*x + 1579.\nAnswer: 23*x - 7167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85349 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001101101110100110 (base 2) to base 6.\nAnswer: -143002130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -27*o**5 - 11847*o**4 - 619905*o**3 + 150195*o**2 + 619932*o - 138348 = 0.\nAnswer: -378, -61, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5*y = -5*m, m = 2*m - 5*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 1038*q**2 - 1039*q**2 + 3115*q**2 - 1043*q**2.\nAnswer: -5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6\/13)*w**(-2\/11))**8 assuming w is positive.\nAnswer: w**(408\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1933189 or -1933185?\nAnswer: -1933185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 54*g**2 - 74*g + 698. What is b(55)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 2, q: 2}. What is prob of sequence qxx?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 5*x**2 + 3*x + 14. Let t(w) = -w**3 + w + 2. Give -3*t(i) + v(i).\nAnswer: -i**3 - 5*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 12*v**2 - 13*v + 26. Let m be n(11). Suppose -4866 = -m*h + 13514. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = -3*j + 52, 8 = j + 5*d. Let n = 29 - 4. Find the common denominator of 17\/14 and (-297)\/(-90)*n\/j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -734. Is 77 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 2*x + 13, 4400*d - 4404*d + 4 = -24*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33\/5618 (b) -2\/7 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 27*g - 14*g - 2929*g**2.\nAnswer: -2929*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87553 or 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozooooooooz. Give prob of picking 3 o and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -d + 3*d. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 173*o**2. Let x(c) be the second derivative of c**4\/4 + 3*c**2\/2 + 1906*c. What is z(x(b))?\nAnswer: 1557*b**4 + 3114*b**2 + 1557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(-516)\/27090*(-14)\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400427 is divided by 305?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 5*(-5*sqrt(1280)*1)\/(((sqrt(72) + 1*sqrt(72))\/sqrt(9))\/sqrt(2))*-2)**2.\nAnswer: -3200*sqrt(5) + 800016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 - -3. Suppose -4*z - 25 = 43. Let a = -12 - z. What is the second smallest value in r, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*d - 12, -4*z + 8*z + 8 = 4*d. Suppose -3*n = z*q + 2*n, -3*q = -3*n. Let i = q - -3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from rmnrerb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1080537 and -20\/6123043.\nAnswer: 18369129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 11:27 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + 1489*w**2 - 2*w - 23 - 1491*w**2 - w**4 + 23 + 2*w**3 in the form y*w**2 + g + r*w + m*w**3 + a*w**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444 + -290. List the prime factors of f.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14848027, -14848019, -14848005, -14847985?\nAnswer: -14847959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(576))\/(sqrt(15)\/sqrt(5)*2)*3)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) - 18\/12. Let d(s) = -s - 1. Let i(j) = -1114 - 7*j - 1116 + 2222. Let c(k) = w*i(k) + 24*d(k). Give c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + 1.51. Let k = m + -5.8. What is the third smallest value in 0.2, 9, k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*c**2*i**2*s**3 - 17*c**2*i*s**3 + 3*c*i**2 - c - 8*i*s - 12*s**3 wrt c?\nAnswer: -56*i**2*s**3 - 34*i*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47448917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, w: 4, r: 2, y: 2}. Give prob of picking 1 y and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256547 is divided by 105.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j + 5*m, 5*j + m - 19 - 40 = 0. Calculate the remainder when (-656)\/(-22) + (-2)\/(-11) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*x + 30, 18 = 38*x - 42*x + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -4*i, 6*i + 3 = 3*i + 3*a. Let c = i - 2. Let f = -16 + 17. Sort c, -5, f.\nAnswer: -5, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*k - 2371 = 1734 + 2013 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 26924005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14919*w + 14924*w - 5360. Calculate the smallest common multiple of 80 and w.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/((-10)\/12 - -1). Suppose 5*k - w - 372 = 90, 0 = -2*k + 2*w + d. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157978 + 158377 - 316353 - 18*u**3.\nAnswer: -18*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119\/8? (a) -7.4 (b) -0.5 (c) 1\/8 (d) -5 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*v**2 + 9*v**2 - 13*v**2 - 196*v**2 + 26*v**2.\nAnswer: -82*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52936 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 2. Let r be l(-2). Let z be (-6)\/r - (-121)\/2. Suppose 3*d - 5*s - z = 0, -d + 2*d = 4*s + 23. Calculate the remainder when 55 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:16 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 48 - 26 + 14*r - 23. Let h(b) = -2*b**2. Calculate v(h(i)).\nAnswer: -28*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = g + 5*p, 15*p + 30 - 39 = -g + 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100121 (base 3) to base 9\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 5. Calculate the remainder when k\/(-10) - 484\/(-10) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (404*a - 384 + 384)*(a + a - 3*a)*(-10*a + 12*a - 10*a).\nAnswer: 3232*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/345)\/(4\/(-40)*-4)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 39. Let i(o) = -o**2 + 13*o + 3. Let c be i(12). Let n = s + c. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7812 - -7817. Which is the closest to -0.2? (a) 1\/3 (b) g (c) -0.3 (d) 17.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 3*g**2 + 4*g**2)*(-2*g**3 + 2*g - 2*g) + ((1 - 3 + 0)*(-2*g**2 + g**2 + 0*g**2) - 5*g**2 + 8*g**2 - g**2)*(25*g**3 - 36*g + 36*g).\nAnswer: 98*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -685? (a) 2 (b) 5 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8153398 to the power of 1\/2, to the nearest integer?\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 7\/5, 3, 28, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-27)*27\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 22*v**2 + 10*v + 4. Let z be (-4)\/6 + 923\/39. Is o(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431 - 259. Calculate the remainder when n is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 39102.\nAnswer: 39102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-2)*(-32)\/48)\/((-11)\/(-33)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)*(-1 - 2). Let c be 1 + 0 - 0\/4. Let y(m) = m**3. Let v(j) = 7*j**3 + 2. Let n(g) = c*v(g) + x*y(g). What is the derivative of n(b) wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 1, y: 2, x: 7, p: 4, j: 2}. What is prob of picking 3 x and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 7*c**2 - 7*c - 4. What is the remainder when 32 is divided by w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2906, -2897, -2868, -2807, -2702?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 8807, 3.1, 4?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.8. Let p = f + 0. Sort p, -2\/7, -0.4 in decreasing order.\nAnswer: p, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/(-476) + 12\/42. Let j = -0.9 + -2.1. Which is the third biggest value? (a) 0.4 (b) i (c) j (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2256)\/(-22))\/12 + -8.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (9 + 25 + (17 - -7))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -20, -34, -52, -74, -100, -130?\n\"Answer: -2*q**2 - 4*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/7215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 + -0.1. Let c = -0.29 + r. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (375 - 375 + t**2)*(2*t**2 - 9*t**2 + t**2) + (3 - 2 - 2)*(t**4 + t - t) + 0*t**4 + 5*t**4 + 4*t**4 as m*t**2 + x*t + i*t**4 + k + v*t**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11145303 to the nearest integer?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11252.25, -39, 0.3, 1, -0.5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 51. Determine n(-20).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1297630 - 6*u + 81*u + 1297804)*(-4 + 4 - 2*u**2).\nAnswer: -150*u**3 - 348*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228 and 4?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 11*x**2 + x - 19. What is s(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 = o, 3*x - 15 = -2*x. Suppose -o*m = -2*m - 54. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 11222211?\nAnswer: -11222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/26 in -0.25, -0.5, 6\/7?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 44679 and 89357\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -811666*u**2 + 47*u - 6992 wrt u?\nAnswer: -1623332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10274560.2 - -10274288.6096017. Let m = w - -271.9604. Let s = m + -0.37. Round s to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -137. Let d = 0.318 - 0.618. Is d < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 17*b**5\/60 + 5*b**4\/24 + 5*b**3\/6 - 43*b**2. What is the hundreds digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 2212\nAnswer: -2199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67349 and 53.\nAnswer: 3569497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(891)*2))\/(sqrt(120)\/(sqrt(12)\/sqrt(4))).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4*c + 115414*a**2*c - a**2*i + 77*a*i - 41*c*i - 32*i wrt a.\nAnswer: -24*a**2*c + 230828*c - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11634 - -14855. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 3368 = 8592. Let b = q + -321. What are the prime factors of b?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1068.3ms?\nAnswer: 1068300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2242?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/13 (b) 4 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3284904.7913321 - -3284905. Let o = q + -0.2088. Round o to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Let u be l\/(-10) + 10077\/15. Is (-1)\/5 - u\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1572387, -1572385, -1572381, -1572375?\n\"Answer: a**2 - a - 1572387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17420.647 and 50.\nAnswer: -17370.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*v - 1450, -4*c = c - 4*v + 7330. Let w be (-1 + (-4)\/(-3))\/((-35)\/c). Solve 3 = 2*x - i - 3, 0 = 2*x + 4*i + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6631790 divided by -11\nAnswer: -602890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35365 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/27 and 43\/49047.\nAnswer: 441423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4582 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 4, -176, -2, -5.\nAnswer: -176, -5, -2, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkskekekeeke. Give prob of sequence eke.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25526491?\nAnswer: 25526491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/6)*y**(7\/6)\/y assuming y is positive.\nAnswer: y**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + 2. Let y = 3 - -25. Let k = -28 + y. Which is the nearest to k? (a) 4 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4438361.\nAnswer: 4438361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.408242 kilometers to millimeters.\nAnswer: 408242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -73039\/15 >= -4868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 4\/3, -9.401, -0.06, -4, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - -1 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 30 + 5 = 3*j, 3*s - 3*j = 0. Suppose -2*x + i = -0*i - 10, -10 = -s*x - 5*i. Solve -4*b - x = 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**6 - 71*i**2 + 83*i**2 + 8*i**6 wrt i?\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - 7*g**5 + g**5 + (-3*g + g + g)*(-3*g**4 + g**4 + 5*g**4) + 0*g**4 + 0*g**4 + g**5.\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*q = 7*i - 606, -i + q = -201. Calculate the greatest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 14, u: 4}. What is prob of sequence uhhh?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1, j: 2, l: 1, v: 4}. What is prob of sequence vla?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07179877 to three decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1821392 at most as big as -1821389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -653 + 323 + 683*s + 330 in the form w + r*s and give r.\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 9:37 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6457, -6462, -6467, -6472, -6477?\nAnswer: -6482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9164 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 5768*h**2 - 808711*h\/4 - 392819\/2.\nAnswer: (h - 23107)*(h + 1)*(h + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60503.82 and 54.3.\nAnswer: 60558.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 143566*g\/3 - 382800.\nAnswer: -2*(g + 8)*(g + 71775)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 12 + 11 - 2 - 2 + 3 + (-1 + 2 - 2)*(1 - 1 + 1) + 7 - 3 - 2)*(3*d - 4*d - d).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*36\/(-8). Find the common denominator of (r\/(-16))\/(18\/(-84)) and -61\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 4) to base 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 19 = -15. Suppose 0 = -7*s - i*s + 99. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 256 - 138 - 118 + d. Let u(p) = -261*p**2. Calculate q(u(n)).\nAnswer: -1044*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87 + -21255?\nAnswer: -21179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*n + 1. Suppose -5*h + 19 + n = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304513 (base 6) in base 3?\nAnswer: -1020110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 14*h**2 - 22*h + 2. Let d be l(15). Let b = d + 154. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 40*w. Let i(g) = -1961*g. Let a(y) = 148*d(y) + 3*i(y). Let q(p) = -p**2. What is q(a(h))?\nAnswer: -1369*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 5 + 2)*((0 + 2*s + 0)*(0*s + 2*s + 0*s) + s - s + 2*s**2 + 4*s**2 - 2*s**2 - 5*s**2) + 7 + 12*s**2 - 7 to the form w*s**2 + x + y*s and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13707, -13722, -13745, -13776, -13815, -13862?\n\"Answer: -4*r**2 - 3*r - 13700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4434540 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1, -171, 5\/4, -0.17, 0.1 in increasing order.\nAnswer: -171, -1, -0.17, 0.1, 1\/2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 171, 343, 529, 735, 967, 1231, 1533, 1879?\n\"Answer: g**3 + g**2 + 162*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 4*n**2 + 12*n - 7. Let l be a(6). Let y(c) = 2 - c**3 - 6*c**2 + 1 - 2 + c. List the prime factors of y(l).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = 5*h - 33 + 256, 0 = 4*h + p + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2 (c) 1\/3 (d) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*n + 301*n + 1504 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 4, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u**4 + 0*u**4 + 2*u**4 - 20*u**4 + 18*u**4 - 22*u**4 + (-u**3 + 2*u**3 - 2*u**3)*(2 - 4*u - 2) to t*u + g*u**2 + q + s*u**4 + c*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*k + 5497, -k = 4*k - 2*z + 13690. Calculate the common denominator of (-1)\/(-9)*k\/60 and -4\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 41*k**2 - 76*k - 77. Let r be u(39). Sort r, -915, -5 in increasing order.\nAnswer: -915, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 - 258*o\/11 + 5292\/11.\nAnswer: -2*(o - 18)*(o + 147)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82016 and 45584.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21043, 42197, 63351, 84505, 105659?\n\"Answer: 21154*y - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22429544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/3*j + 0 - 2\/3*j**3 - 16*j**2.\nAnswer: -2*j*(j + 2)*(j + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*j = 25, -7 + 22 = 2*t - 3*j. Let m(x) = x - 9. Let w be m(5). Is (1038 - w)\/(t + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365795.955 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-20)\/6)\/((-1)\/9). Let p be -4*((-1)\/r)\/(15\/45). Solve 3*q + 12 = 3*z, p*q + 14 = 5*z + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370771471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*h - 25*h + h**3 + 62*h + 5*h**2 - 16*h to s + r*h**3 + g*h**2 + n*h and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -110200100002?\nAnswer: 110200100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/7 + 72*u**4\/7 - 158*u**3\/7 - 220*u**2\/7 + 312*u\/7 + 304\/7 = 0.\nAnswer: -38, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by -311.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 216*d + 115*d + 346*d.\nAnswer: 677*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 - (-4 - (-8 - -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -2, 321, -5 in ascending order.\nAnswer: -5, -2, 4, 7, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*2)\/8)\/((-234)\/(-234)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*w + 5, 6*b - b = w + 28. Let k(l) = -15*l**2 - 5*l - 3. Let v be k(3). Let g = v + 1685\/11. What is the closest to 1 in b, -2\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29429.799 hours in weeks?\nAnswer: 175.177375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 + -4.63. What is u rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - -342?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p + 4*d = 39*p - 208, 0 = -4*p + 4*d + 164. What is the highest common factor of p and 1254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 0.061.\nAnswer: 0.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r + 9*r - 294 = 0. Let j be 20\/(-10) - r*-1. Solve i = 2*i + 4*n, -i - j*n = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + 1. Let w be 3\/(8\/(1 - 9)) - -2. Let p(q) = 7*q**3 - 6*q**2 - q - 2. What is w*p(r) - 6*n(r)?\nAnswer: -r**3 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 3\/7 (b) 1\/14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -72. Is (2\/(-4))\/((y\/(-1))\/(-6730)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-1)\/((-3)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-104)\/320 + (-5)\/(-40) - 60011\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 2617*i**5\/5 - i**3\/3 - 2831*i - 10935. What is the third derivative of u(c) wrt c?\nAnswer: 62808*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6 and 43\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.341 + 6.33314. What is y rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130b56c (base 13) to base 4.\nAnswer: 112300133132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1909)\/(-6072) + (-30)\/80 + (-5272)\/132?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-169 - -172) + (11 - -3) + 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)*z*z*z**(3\/4))**(2\/95) assuming z is positive.\nAnswer: z**(49\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, -11, -97, -183, -269?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*4.0636\nAnswer: 1.21908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 18*v + 23. Let i(y) = -y**3 + 7*y**2 + 4*y + 13. Let q be i(8). Let g be m(q). Solve g*f - 3 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5.5 (b) -0.1334 (c) -2\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + m**4 - 4*m + 3*m + (5*m - 3*m - m)*(m + 3*m - 3*m)*(3*m**2 + 7*m**2 + 4*m**2) to the form n + d*m**3 + i*m**4 + w*m + h*m**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*o + 729 + 298 = 0, 5*x - 2*o = -5081. Which is greater: -1016 or x?\nAnswer: -1016","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 71 = -j, y + 7*j = 2*j + 31. Calculate the remainder when 71 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.014594 meters to centimeters.\nAnswer: 601.4594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0267 - -0.026699884. What is a rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012392 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 113912968?\nAnswer: -455651872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8359*d**3*g**2 + 1420439*d**3 - 29*d**2*g**2 wrt g?\nAnswer: 16718*d**3*g - 58*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2344724 is divided by 8227.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 95 = -67. Let s be (15\/2)\/(c\/(-24)). Solve 3*j - 4 - 10 = 4*n, -5*j + s = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-10) + 40\/100)*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 5\/3306?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2*p + 3*i*p**2 - 515*i + 32*p**2 - 22 wrt i.\nAnswer: 2*i*p + 3*p**2 - 515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (5 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, g: 2, v: 5}. Give prob of sequence fg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 405390331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 790.3784 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2*((-36)\/8 - -5). Suppose s = k + 6*k - 1414. Suppose -5*q - a + 9930 = 0, 6167 - k = 3*q + 2*a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 22*s - 9*s. Let b(n) = -2*n**2. What is b(v(l))?\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05152 in 0, 2, -1, -0.013, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -627, -2249, -4951, -8733, -13595?\n\"Answer: -540*v**2 - 2*v - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -196.16 not equal to -4\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/35606 and 95\/1710962.\nAnswer: 32508278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4275 and 26620083.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98533789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3749 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: What is the fourth biggest value in 0, 1\/3, 23, -4, -3\/7, -2\/307, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 5*w. Let j(y) = y**2 + y. What is -6*j(a) + p(a)?\nAnswer: -4*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) -11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71690 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18060 or 0.1?\nAnswer: 18060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((135\/1053)\/5)\/(((-44)\/(-72))\/(-11)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13463603*t**3*u**3 + 9*t**2*u**2 - 635837*t*u**3 wrt t?\nAnswer: -80781618*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52701 + -60022.\nAnswer: -7321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 1378\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 v when three letters picked without replacement from ssjjsvjs?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -3, -8.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/4)\/15*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:33 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -566 + 575.9. What is the smallest value in -0.4, 2, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/15 + 32*p**2\/3 + 3626*p\/15 + 5476\/5.\nAnswer: 2*(p + 6)*(p + 37)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*r = -469. What is the units digit of (r\/(-2) - -1)*24\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114652 - 10891782\/95. Let n = -24\/19 + k. What is the second smallest value in n, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56 - (1 - (-1)\/(-1)). Let p be (21\/(-6))\/((-2)\/l). Calculate the highest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2 - 3 + 4)*(49*s**2 + 15*s**2 + 8*s**2)*(1 - 5 + 2).\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8\/7)\/o**(1\/23)*o**25\/o**(-15) assuming o is positive.\nAnswer: o**(6249\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(208)\/sqrt(4) - sqrt(52)))\/((1*sqrt(12))\/sqrt(3)) - 1*(-4 + ((1*sqrt(78))\/sqrt(6))**2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -8*v + 2748. What are the prime factors of v?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*p + 3*f + 58 = 0, 0 = f + 2. Let v be p\/((-143)\/(-264))*2\/6. Let h(x) = -x**2 + 12*x - 5. What is h(v)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -8)\/16 - 0\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 21 = 8*m - 3*y, -y = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6604936?\nAnswer: 2, 13, 41, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2800 and 17\/2100.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + 3 - 3)*(v - 3*v + 0*v) - 4*v**3 - 2 + 2 + (-9 + 15 + 0)*(-13*v + 79*v + 28*v)*(2*v**2 + v**2 - 2*v**2) as r + i*v**3 + h*v**2 + a*v and give i.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5160 and 2725230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, 215, 3, -1, -13 in increasing order.\nAnswer: -23, -13, -1, 1, 3, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -508 + 490 + 1 + 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 31*j = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9666630, 19333247, 28999862, 38666475?\nAnswer: 48333086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 40 = -3*c, 0 = 5*c + 67*p - 68*p - 74. Let y be (3\/(-2))\/((-11)\/550). Calculate the highest common factor of c and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from xxqixif.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.6 - -31.6. Let i = 12 + -19. Let v = i + 8. What is the smallest value in c, v, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(234\/195)\/((-4)\/(160\/18)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 317615, -13 in decreasing order.\nAnswer: 317615, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126)\/(-12)*10*(-216)\/(-30) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 9:44 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 422815349 to the power of 1\/3, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 909 (base 11) to base 9\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368558861 take away 0.2?\nAnswer: 368558860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -483a2 (base 15) in base 2?\nAnswer: -111000001110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.2 (c) 0.5 (d) -0.013 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91301000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.058 - -0.144. What is b rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b + 7. Let m be v(4). Suppose m*o + 1 = 7. Solve -10*d + 25*d + 1 - 3*d**2 - 13*d + 4*d**o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*x + 33 = 0, -x + 63 - 56 = 0. Solve 4*g - 4*l - 23 = -g, t = 3*g - 4*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 16*b**3 + 14*b**3 - 5*b**3.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/15, 2, 0.008, -1\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 113772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 0*p - 1 + 0*p. Let c(u) be the first derivative of -4*u**3\/3 - 2*u**2 - 4*u - 5. What is 3*c(k) - 10*d(k)?\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/a**(-6\/7))\/a)\/a)\/(a**(2\/31)\/a) assuming a is positive.\nAnswer: a**(606\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 36 - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 221439186 a multiple of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -4*j - 3*v, 4740*j = 4745*j + 5*v + 70 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -0.3 (b) 5 (c) 1.41 (d) -2\/7 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 2. Let u = 0 - -3. Let j be y(u). Find the common denominator of (-25)\/(-55)*108\/j and 58\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/11, 10889, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178\/21? (a) -5 (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 1871839?\nAnswer: 31821263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 86890496 divided by 152\nAnswer: 571648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - -3 - 2 - 0. Let p = -1 + i. Calculate the remainder when (3\/((-3)\/5))\/(-1) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11))**2*-2 + -6*sqrt(55)\/sqrt(5) + sqrt(11).\nAnswer: -13*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 66. Suppose -h*i = -19*i - 126. Let x = 137 + i. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k - 0*k. What is the second biggest value in -0.4, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2096 - -2101. Solve -d + 23 = 4*i, -12*i = -7*i - w*d - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 156?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.2449 to 1 dp.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73602 and 9429234.\nAnswer: 84863106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 980726712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 23*t**2 + 9*t + 23. What is q(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, -81, -4\/101?\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*g - 107*g - 62*g + 75*g + 381*g.\nAnswer: 188*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 3*z**2 - 3*z + 3. Let o be -4 + (-1 + -1 - -7 - 0). Let t be o\/((-12)\/(-9) + -1). Calculate u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 628.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lslnnlssnnnllnnnl. What is prob of picking 1 n and 2 l?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - z**2 + 0*z**2 + (3*z - 5*z + 4*z)*(4*z - 2*z + 0*z) - 10*z**2 + 13*z**2 - 13*z**2 + 2*z as l + g*z**2 + o*z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -2, -5, 9, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*m - 37*m - 43 + 105*m - 774*m**2 wrt m?\nAnswer: -1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000165 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = x, -3*p = -4*p. Suppose -x*c - 2*c = -20. What is the lowest common multiple of c + 0 + 1 + 11 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 182 = -4*g. Let q = g + -48. Suppose -4*r - 5*c = -q, 3*c = -5*r + 58 - 1. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**3 + 4187731*g - 30*g**3 + 87 - 4187731*g.\nAnswer: 2*g**3 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/44*2*(-4)\/(-7). What is the second biggest value in 2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 36, -2\/1327, -0.1?\nAnswer: -2\/1327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -68 + (-31 - (-17 + -2) - 5) + (7 - -1)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 847 + 854 + 2*o + 1610*o**6 - 1276*o**2 - 1699 - 2*o wrt o?\nAnswer: 193200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 3. Let m be f(3). Let h = -19 + 25. Suppose h*j = 9*j - 3. Put 5, j, m in decreasing order.\nAnswer: m, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -645*z + 596*z + 490 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2800 - 2798 + 23703*h + 5598 - 2*h + 4 - 4 + 2*h - 3*h + 2*h + h + 2*h - 5*h + (-4*h + 3*h + 3*h)*(2 - 1 - 2) + h + 3 - 3 as n*h + p and give n.\nAnswer: 23699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*i - 4*c, 10*i + c = 7*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c885 (base 15) to base 11.\nAnswer: 15801a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 - -15?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 less than -84.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*10*(-5)\/15. Let y(z) = 23*z**2 - 41*z - 3. Let m(i) = 46*i**2 - 82*i - 5. Let q(t) = u*y(t) + 3*m(t). What is the second derivative of q(b) wrt b?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b - 2)*((0 - 2 + 3)*(1 + 1 - 3) + 954 - 273 + 487).\nAnswer: 2334*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 b, and 1 a when four letters picked without replacement from euccbabccvvbcbb?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 69 = 5*q, 5*q + 71 = g + g. Let l = g - 24. Solve -o + 4*b + 3 = 0, 5*b + 1 + 11 = l*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 221*c - 525. What are the prime factors of u(23)?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4965514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929443 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*s**3*v**2 - 17*s**3*v - 108*s**3 + 3*s**2*v + 3*s*v**2 + 8*s + 92*v**2 wrt s.\nAnswer: 66*v**2 - 102*v - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16951761, -33903523, -50855285?\n\"Answer: -16951762*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1)*(-3)\/5. Suppose o*i = -i + 308. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**6\/6 - 5*j**3 + 10. What is the third derivative of r(p) wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4533474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Suppose -5*s - m = -3*s. Let r be (-7)\/s + (-3)\/6. Solve -5 = -2*l - 3*z, -5*z + r + 12 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -591 (base 12) to base 13.\nAnswer: -4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1527269, -1527264, -1527255, -1527242, -1527225, -1527204?\nAnswer: -1527179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l - 17*l - 4*l to the form f + o*l and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*v. Let m be (2 + (v - 2))*1. Suppose 0 = r + 3*j - 81, -m*r + 280 = 3*j - 65. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002657506 rounded to 5 decimal places?\nAnswer: -0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -20*q + 18*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {f: 1, l: 5, j: 5, d: 7}.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s + 84. Determine h(42).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-3.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:58 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:02 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.024 - 0.024. Suppose 0 = -2*g - 4*r + 2, 6*g - g - r = -39. Let k be 2\/g + (-88)\/(-210). Which is the closest to y? (a) k (b) -5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -g - 245 = x*g. What is the remainder when 9 is divided by 88\/14 - (-14)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - s**4 + 2*s**4 + (18 + 2*s - 18)*(-4 - 5 + 7)*(0*s**3 - 3*s**3 + 2*s**3) to a*s**2 + d*s**3 + l*s**4 + p*s + k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-150))\/(1*(-1)\/2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, f: 2}. What is prob of picking 1 z and 1 f?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = -12*d + 16*d. Let n = -159 - d. Solve 3*y + 6*a = a + 22, n*y = -2*a + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5467, -2922, -379, 2162, 4701, 7238?\nAnswer: 9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 34*c + 1. Suppose 33 + 1 = 3*o - 4*l, o - 43 = -5*l. Calculate the remainder when y(2) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 6. Let l(n) = -4*n - 3. Let w(c) = -7*l(c) - 3*q(c). Let h be w(2). Suppose h*k - 423 = -2*f + 6*f, k + 5*f - 73 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -13 (b) 0.62 (c) 4\/13 (d) -2\/7 (e) -1.1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2518)\/10)\/(-1) - (-3)\/15. Suppose 0*n + 9*n = c. What is the highest common divisor of n and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-0.06.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -4609.6157\nAnswer: -2304.80785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -4. Let h = 18 - w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2116 + -4.2116. Let f = 4 + -3. Let o = 115\/148 + -1\/37. Which is the closest to -1? (a) f (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/5 + 222*w**4\/5 - 1522*w**3\/5 - 315678*w**2\/5 + 317988*w = 0.\nAnswer: -33, 0, 5, 66, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**4)\/a*a*a**(3\/5))\/(a**(-1\/14)\/(a\/(a\/a**(-3\/2)))) assuming a is positive.\nAnswer: a**(-134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*(-5 + 2). Let i(q) = 7 + 0*q**2 - m - q**2 - 8*q. What is the tens digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 + (-2 - (-14)\/9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(0*p - p + 3*p) - 11 - 3*p + 2 + 2*p.\nAnswer: -5*p - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:18 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3070 = 10*b - 51*b - 499 + 1693 for b.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)**(-47) assuming z is positive.\nAnswer: z**(-141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -428 divided by 6\nAnswer: -214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/(-468))\/((-63)\/252 + (1510\/1176)\/5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -3)\/(1\/(-4)*2). Let f be ((-7)\/(21\/(-6)))\/g. Solve -4*y - 15 = f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 3*h + h**2 + 87 - 26*h**4 - 81 - 9 to the form y*h + w*h**4 + t*h**3 + d + r*h**2 and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -3985 and -3985 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1762815 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 26 - -11) + (9 + 2 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/4)\/((-26)\/12272). Suppose -854 = -20*j + v. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + 5 + 1*sqrt(19) + 4) + (-4 + ((sqrt(95)*1)\/sqrt(5) - sqrt(19)) - -5*(1 + sqrt(2299))))**2.\nAnswer: 2900*sqrt(19) + 64541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2953 - 5961\/2. What is the common denominator of r and 83\/7844?\nAnswer: 7844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44+-213758106\nAnswer: -213758062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p**2 + 3 - 3)*(4*p - p + 0*p) - 1 + 2*p**3 + 1 + (-p**2 + p**2 + p**2)*(3*p - p - p) + 0*p**3 + 0*p**3 + 2*p**3 - p**3 + p**3 + 2*p**3.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(3\/(-27)*-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuj when three letters picked without replacement from {j: 3, x: 1, b: 4, h: 1, e: 2, u: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(45\/(-4))*(-4116)\/795760*6.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119843103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 56*j - 2*j**2 - 12 - 63 - 26*j.\nAnswer: -3*(j - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 - 23*r**3 + 4*r**3 - 4 + r**3 + 4 - r**3 + 0*r**2 + 0*r**2 + (r + r**2 - r)*(-2*r - 2 + 2) - r**3 + 3*r**3 - r**3.\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1242 and 184575.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) + ((sqrt(66)*1 + sqrt(66))*-2 - sqrt(66))))\/(sqrt(96) + sqrt(96) + (sqrt(96) - -6*(sqrt(96) + sqrt(96) + sqrt(96)*2))).\nAnswer: 4*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggj when three letters picked without replacement from ggsdgdgjgdh?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, 12 in increasing order.\nAnswer: -47, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-111580)\/(-12) + 77\/21 + -2?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(5\/3)*k**4)\/(k**(-1\/5)*k*k*((k*k**(-5))\/k)\/k) assuming k is positive.\nAnswer: k**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -1091, -2447, -4339, -6767, -9731, -13231?\nAnswer: -17267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)\/(j\/j**(2\/7)))\/(j**1)**(-15)*(j**(-2)*j)**(-47)*(j\/(j\/j**(-6)*j)*j)\/j**(-1\/7) assuming j is positive.\nAnswer: j**(797\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 1:00 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 11. Let i be u(8). Suppose 11 = 4*s + 3*b, -3 = -i*s - 5*b + 8. What is the units digit of -2*s*37\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 + 2)*(11 - 6 + 30)*(-3*x**3 + 3*x**3 + 2*x**3 - 5*x + 5*x + 2*x**3 + (x - 2*x + 0*x)*(-2*x**2 + 5*x**2 - x**2) + 0 + 0 - x**3).\nAnswer: -105*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 4. Let x be g(-3). Let k be (x\/(-4) - 46\/(-24))*69. Let t = 158 - 112. What is the highest common factor of t and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44137, 44131, 44119, 44101?\nAnswer: 44077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -947638*l + 20*l**3 + 947635*l - 9*l**3. Let i(x) = -12*x**3 + 4*x. Determine 3*i(z) + 4*t(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24581314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 237 = 259. Let w = 257 + s. Solve 0 = -3*z + w, -6*j - z = -2*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*a*p**4 + 66*a*p**3 + 2*a*p**2 - 418*a*p + 20*a - 48*p wrt p?\nAnswer: 3504*a*p**2 + 396*a*p + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a + 1145 = -22*m + 27*m, 167 = -5*a - m for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.1 + 49.1. Let j = -15\/2 + 6. Which is the nearest to 2\/7? (a) m (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6) - (3 - 14\/3). Which is the smallest value? (a) -0.1 (b) k (c) 0 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.2, 4, -633.\nAnswer: -633, -0.2, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 + 282*l**2\/7 - 234*l + 2430\/7 = 0.\nAnswer: 3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 30 - 8)*(-d**4 + 0*d**4 + 2*d**4) to x*d**4 + h + v*d + q*d**3 + f*d**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2221 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.377519613 and 1.\nAnswer: 0.622480387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**2 - 9*z. Let g = 12 - 7. Let c(r) = 2*r**2 + 5*r + 8*r**2 + g*r. Let x(q) = 3*c(q) + 4*y(q). Find the second derivative of x(f) wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46497 = 144*g - 133*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88836592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*j + 233*j - 1620 = 0. Let n be -3 + (-1)\/(-1) + -4. Let o = 8 + n. Solve 8 = -j*f + o*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94343760 divided by -24?\nAnswer: 3930990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p\/p**(-2\/9))\/p)\/p))\/p)**(14\/9)\/(p**(-1)*p)**(-14)*((p**1\/p)\/p)**(-41)\/(p**3*p**7*p) assuming p is positive.\nAnswer: p**(2528\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 7*l**2 + 7*l - 1. Let v(c) be the third derivative of 3*c**6\/40 - c**4\/8 - c**3\/3 - 4*c**2 - 4*c. Let m be v(-1). Give n(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 = -12. What is the third biggest value in v, -0.3, 0.08?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/3 - 64*r**3\/3 + 116*r**2 + 520*r\/3 - 800\/3 = 0 for r.\nAnswer: -20, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15338274 divided by 1421\nAnswer: 10794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -81.882639 * 0.2\nAnswer: -16.3765278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9991 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*u = 7*u - 1, 4*v + 3 = -5*u. Let z be 2*1\/(-5)*(-1 - -3). Is v greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 731 by 2.\nAnswer: 731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 369500564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 6*f - 37. Let z be v(8). What is the second derivative of -16*m**2 + 0*m**3 + z - 227 + 2*m**3 + m wrt m?\nAnswer: 12*m - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 6, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1298 + -15595\/12. Find the common denominator of 291\/(-18) + 3 - -2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(75) + sqrt(75) + 5))**2*3.\nAnswer: 7500*sqrt(3) + 24375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 1 - 1 - 2*s. Suppose q - 2 = -q. Let d(z) = -q + 1 + 2*z. Calculate -3*b(v) - 4*d(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1287173, 1287160, 1287133, 1287092, 1287037, 1286968?\n\"Answer: -7*i**2 + 8*i + 1287172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 21 = 225*k - 230*k, -5*c = 4*k + 38 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/10)\/(-3) + (-18)\/(7920\/22). Let m = 1060\/7 - 151. What is the nearest to g in 0.3, 1, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -54. Find the third derivative of -w*h**2 - 2*h**3 + 8*h**3 + 24*h**2 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*h**4 - 128*h**3 + 932?\nAnswer: -192*h**3 - 384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(4*z**2 - z**2 - 4*z**2)*((2 + 1 - 4)*(3 + 4 - 1) - 3 - 3 + 4) in the form c*z + a*z**2 + l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4 - 0)\/1)\/(-2 + -3 + 9). Put -50, c, 31 in descending order.\nAnswer: 31, c, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 37*c - 545013. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120104 - -24338. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27089 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -457*p**2 + 6*p. Let s(x) = 458*x**2 - 4*x. What is -3*s(b) - 2*w(b)?\nAnswer: -460*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44203.95 + -270960.\nAnswer: -315163.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaf when three letters picked without replacement from {f: 1, n: 1, y: 1, a: 2, p: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 950823 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.480034 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52332 (base 7) to base 5\nAnswer: -402421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 4. Suppose -9*b - 27 = -i. Does 16 divide (-1 - (-3)\/b)*-32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 2\/2269, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98.213 - 0.213. Let i = w + -96.62. Round i to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 36*n**2 + 3*n - 4*n + 3*n as h*n**2 + u*n + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -10, -5 = 5*t + 4*a + 3. Suppose 3*o - 5*i - 25 = 0, -o - 2*i - 5 - 5 = t. Suppose -4*v + 26 - 10 = o. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0724 - 759.0724. Let b = -804.1 - g. Round b to zero decimal places.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k + 4. Let z(o) be the third derivative of -o**5\/20 - o**4\/12 - o**3\/6 - 9*o**2. What is z(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + 17. Let v = -15.33 + k. Round v to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221151*a**6 + 74*a**2 + 2119 wrt a.\nAnswer: -26538120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36477495317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -391*c**2 - 69. Let d be (2 + -8 + 2 + -2)\/(78\/(-52)). Let u(x) = -23*x**2 - 4. What is d*r(l) - 69*u(l)?\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371265741 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323 - 1?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f*s**2 - 577514*f*s + 229120264*f - 2*s**2 wrt s.\nAnswer: 76*f*s - 577514*f - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-4) - (-1 + -1). Suppose -w = 14*a - 15*a. Suppose 91*x = 96*x - a. What is the highest common factor of 16 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.94, 1.71, 0.3?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*b - 4 = 0, 5*b + 3 = -5*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/12 + (-259)\/42. Put j, 63, 1, 5 in ascending order.\nAnswer: j, 1, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((3 - 5)\/1). Suppose 7 = -i - 2*t, i + 0 = 3*t + 18. Differentiate -3 - g**f + i - 4 + 5 wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*v + 314*v = 20. Which is smaller: v or 1\/5135?\nAnswer: 1\/5135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*257.\nAnswer: -4369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -13. Let o = v + -12. Suppose 4 = 2*y, o*r - 3*r - y = -17. Calculate the remainder when 7 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 475 - 215. Suppose 253*i + 28 = c*i. Suppose -1 = -5*l + 14. Sort i, -5, 1, l in increasing order.\nAnswer: -5, 1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -9 + -14 + (9 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - 2*z + 2)*(-3*z + 6*z - z).\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Suppose 4*m = -4 - 0. Let v be 1\/(-8 + (2 - m)). Which is the closest to -2\/3? (a) f (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74103 at least 74104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, -75.69 in decreasing order.\nAnswer: 1, -1\/2, -75.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568\/(-16)*121\/(-7623)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -136*g + 7. Let y be u(-13). Suppose -4*d - y = d. What is the units digit of ((-1)\/(-1))\/((-5)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = c, 5*t = -5*c + t + 4. Solve -1 = c*l - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 6:51 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20972 (b) 0.5 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-6 + 3 - -1). Sort 3, t, 16 in increasing order.\nAnswer: t, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 386251\/13, -17 in decreasing order.\nAnswer: 386251\/13, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238184\/107 - -2226. Let a = z - 101\/321. What is the nearest to 1\/4 in 2, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14416 divided by -848.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 215.3 < -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7094 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*k + 35, -2*c + 3*k + 32 = 7. Let v be ((-1)\/(-1))\/((-3)\/(-9)). Suppose -250 = -8*a + v*a. What is the highest common factor of c and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -474 + 468 + 4*q**4 + 4*q**4 with respect to q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798600888 a multiple of 2769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 5. Let l(d) = -d**3 + 3*d**2 - d + 1. Let k be l(2). Suppose -3*z + 3 = -k*t, -2*z + 17 = -5*t - z. What are the prime factors of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 268 = 112. Suppose -3*n + c = 2*w, 11*n - 22 = 8*n + 2*w. Solve 0 = q - 5*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6250, 12445, 18630, 24799, 30946, 37065, 43150, 49195?\nAnswer: 55194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 17. Let u be (-20)\/(-7) + 1\/z. Suppose 3*l = -5*d - 22, 0*l - u*l - d - 2 = 0. Which is bigger: -2\/27 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q + 1. Which is greater: q or 21\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 5*x - 5. Let p(j) = j**3 + 4*j**2 - 4*j - 4. What is 4*o(b) - 5*p(b)?\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(10\/(-50)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 2, e: 2, v: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.5 (b) 5\/2 (c) -5\/2 (d) 1\/4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**7*m\/((m**(-10\/9)\/m)\/m)*(m**21)**(-37) assuming m is positive.\nAnswer: m**(-7001\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2140149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201.5645699 - -1581.\nAnswer: 1379.4354301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -476 - -1355. Suppose 0 = -4*k - 167 + m. Calculate the lowest common multiple of (-30)\/165 - k\/(-11) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4653170 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340617827?\nAnswer: 3, 19, 199, 118189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Suppose 2*f - 13 - d = 0. Suppose 2*y + 4 = 0, -2*y + 163 + 238 = 5*t. What is the highest common divisor of f and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20744928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*w + 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21997819 divided by -21997819\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:51 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -8.36. Let p = g - 8. Let i = p - 2.3. Which is the nearest to 1\/3? (a) i (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 6 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12851 rounded to the nearest 100?\nAnswer: -12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/3*j**3 + 0*j**2 + 0 + 2*j. Let k(l) = -11*l + 4. Let n(i) = 49*i - 18. Let d(g) = -9*k(g) - 2*n(g). What is r(d(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {j: 1, o: 5, r: 1, u: 1, w: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75173, -150896, -226621, -302348, -378077?\nAnswer: -453808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - (-42 + -22 - -69)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 8*d - 2. Let r be s(-9). Let p = 83 - 82. Suppose -7 = z - 3*j, -3*z = -4*j - p + 2. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11917.9 - -12484. Let l = 601 - t. Let d = 35 - l. Which is smaller: d or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.4 (c) 85\/6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1568269?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 345 = 3*y + k, 15 = -3*k. Suppose -8*l + y = -6*l. Let g = l + -34. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -103. Suppose i + u*x - 8*x = 495, 0 = -4*i + x + 1999. Suppose i = 2*s + 2*s. Calculate the remainder when s is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)\/k*(k*k**(3\/5)\/k)\/k*k**(-1)*k**(-5))**(2\/67) assuming k is positive.\nAnswer: k**(-834\/3685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) -148\/55 (c) 0 (d) -5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-2) + 18\/(-6). Let v(t) = t - 2. Let r(s) = -3*s + 5. Let f(b) = n*r(b) + 15*v(b). Let z(p) = p**2. Give z(f(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-23 - -243) - 0\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6 + (-532)\/(-91) + (-119)\/(-13) and 41.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-2)\/(-6))\/(-3). Let f(q) be the third derivative of -1\/105*q**7 - 1\/30*q**5 + q**2 + 0*q + 0*q**4 + 0 + 1\/30*q**6 + b*q**3. Factor f(z).\nAnswer: -2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208836 + 607091 - 205069 = 17848*y - 1316726 for y.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 15*q**2 + 13*q + 7. What is p(-14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((-2*sqrt(396))\/sqrt(9))**2 + 1 + sqrt(6336)) - (5 + (0 + sqrt(3564))**2 + 4*sqrt(88)\/sqrt(2))) + 0.\nAnswer: -2507 + 136*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*q + 0 + 2 = 0, 3*g + 4*q = 4. Suppose g = -3*a - 0*a + 21. Suppose w - 5*w = -52. Calculate the remainder when w is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnhhhihnnihn. Give prob of picking 3 h.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - 75 = 0. Let l be 421\/28 + 1 - 470\/1645. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 178, 181?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-6\/17)\/g)**(-1))**(-22\/5))**(3\/23) assuming g is positive.\nAnswer: g**(-66\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 3*n - n)*(-2*n**3 + n**3 - 2*n**3) + n**3 + n**4 - n**3)*(0 + 0 + 1)*(-6 + 2 + 3).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.61 + -0.2. Let m = -0.01 + l. Which is the biggest value? (a) 1\/5 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53, -69, -41, 37, 171, 367, 631?\n\"Answer: m**3 + 16*m**2 - 71*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -530 - -530.0746. Let v = l - 0.055. Let o = 0.031 - v. What is o rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 1110 + 1212 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6 + 29*t**5 + 26*t**5 - 4*t - 21*t**5 - 16*t**6 - 6549*t**3 + 6550*t**3 + 4*t**6 + 3*t**2 wrt t.\nAnswer: -1440*t**3 + 2040*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlllzzlzjzzwwz. What is prob of sequence jzwl?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c8 + 3?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2 + 1 + 0*s**5 + 0*s + 0*s**3 + 1\/2*s**6 + 0*s**4. What is the second derivative of x(m) wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 66*g**3 + 6334*g**2 - 225*g - 3165. Give w(-96).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -194*z**3 + 8*z**2 + 47*z - 17. Let j(a) = 194*a**3 - 7*a**2 - 46*a + 16. Let u(i) = -6*f(i) - 7*j(i). What is the second derivative of u(s) wrt s?\nAnswer: -1164*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -3\/2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m + 4*g - 20, 35 = 5*m - 3*g. Suppose 3*q + 0 - 14 = o, -2*o - 13 = -3*q. Suppose 5*v + 2*h = 10, -h - 4*h = -v + 29. Sort m, v, q.\nAnswer: v, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8779 divide 101802660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**5 - 5*a - 6. Find the first derivative of c(n) wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47266*u**5 - 27*u + 31*u**4 - 47231*u**5 + 10810*u**2 + 27*u wrt u?\nAnswer: 2100*u**2 + 744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 43178516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(2*sqrt(27)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + x**2 - 2*x - 2*x**2)*(-17*x + 10*x - 23*x + 1) to q*x + l*x**3 + p + w*x**2 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/17)*x*x)**(-1\/37)\/((x\/(x\/x**(6\/11)*x)*x)\/x**(1\/25)) assuming x is positive.\nAnswer: x**(-96506\/172975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 403*k + 130. Let b be j(-134). Let f(r) = 0*r**2 + 6 + 3*r - r**2 + 2*r**2. Determine f(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 - f**3 - 26*f**2 - 6*f**3 - 24*f**2.\nAnswer: -f**3 - 50*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*g + 745 = -3*d, -3*d - 2*g + 2195 = 0. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 24*f + 63. Determine o(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(-3*3\/(-54)). Let a = p - -10\/3. What is the nearest to 3\/5 in a, -0.1, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - x. Let d be t(1). Let i be (-21)\/9 - 2\/d. Let p(c) = -c - 4*c + 4*c - 4. Determine p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -5*c**3\/3 + 3*c**2\/2 + 4. What is the second derivative of q(x) wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/4*(-12)\/(-6). What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(153)*-2.\nAnswer: -6*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5912\/15 + 394. Sort 7, 94, k.\nAnswer: k, 7, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*v - 88 = 42, 5*i = -2*v + 179. Suppose 0 = -3*f + i - 11. Is -4*(-2 + (-38)\/f) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.839 - 121. Let i = p + -0.039. What is the closest to i in -4\/5, -5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-260)\/(-2) + 3\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-140) + (-59)\/(-105). Let n(u) be the third derivative of -q*u**5 + 0*u + 0 + 2*u**3 - 10*u**2 + 0*u**4. What is the derivative of n(d) wrt d?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Suppose h*v + 2*v - 20 = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:08 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = l - 74, 266 = 4*l - 3*m + 4*m. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/24 + j**3\/3 + 26*j**2. Suppose -a - 2 = 3*s, 14 = 5*a - s + 4*s. What is k(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 37*q - p + 339550 = 0, 0 = -4*q + 5*p + 271669. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 + -25. Let v be (t\/35 - -2) + -3. Solve v*m - 18\/7 - 2\/7*m**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 407544, 815174, 1222808, 1630446?\n\"Answer: 2*t**2 + 407624*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -2 - (-5 + 4). Solve k + n = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 3*h - 2*t, -t - 239 + 237 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 - 6. Let d be 159\/33 - (-6)\/33. Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjyjjjyyhhjjjh.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -16. Suppose 5*r + 3*t = 2 + 4, 2*r = -4*t - 6. Let m = r + b. Let q(j) = j**3 + 4*j**2 + j - 1. What is q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.7. Which is the second biggest value? (a) 3 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2481 + 696 = -305*h + 1875 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, 2\/3, -5, -15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 - (-4 + (5 - 6) + 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1054020, 2108051, 3162094, 4216155, 5270240, 6324355, 7378506, 8432699?\n\"Answer: c**3 + 1054024*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-4)\/6 + 5\/3 + 1086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*u + 8 - 25*u + 132*u - 8 + 34*u.\nAnswer: 210*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(162) + 4)**2.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/14 and 8\/(-28) - (-895)\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 24*z - 40. Let q be l(-22). Solve u + 3 = q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 32 = -20*t + 16*t + 40, -g - 3*t + 26 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8293 take away -326.8398?\nAnswer: 326.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -996 + 13098 = 6*t. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 0.07 (c) 201 (d) -1\/9 (e) 0.8 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*s + 779, 815 = a + 4*s + 27. What is the greatest common factor of 224 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(5)*-3 + sqrt(15)\/sqrt(3) + 2.\nAnswer: 2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -13.86. Let m = -5.14 + s. Which is the second biggest value? (a) m (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/231*(-120)\/10.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1423 from -5.\nAnswer: -4.8577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + 12 + -13 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wwssssw.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001101101010 (base 2) in base 9?\nAnswer: 75554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54227536 by 2.\nAnswer: -27113768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8414.\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 - 2524\/13. Let l = -1347 + 4043\/3. Sort -4, i, l in decreasing order.\nAnswer: l, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 980201, 980191, 980181, 980171?\n\"Answer: -10*v + 980211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8*c + 8. Let o(d) be the third derivative of d**7\/5040 - d**6\/360 + d**5\/20 - d**2. Let t(a) be the third derivative of o(a). Determine t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12210, -14239, -16268, -18297, -20326, -22355?\nAnswer: -24384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1735519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9.6. Let w = 1.45 + -0.05. Let m = w - f. What is the second biggest value in 3, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010 + -22?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 + -191 - -40) + 50?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1644*p + 1637*p = 0. Is p greater than 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:44 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.59, -1.1, 3\/8 in decreasing order.\nAnswer: 4, 0.59, 3\/8, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -283994 divided by 43\nAnswer: -283994\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103671 or 6\/5?\nAnswer: 103671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 3093650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 5. Give n(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + i - i + 1562*i**3 - 1560*i**3 - 15.\nAnswer: 2*i**3 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/3 + g**3\/6 + 16*g**2. What is the units digit of m(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 8*g - 48. Is (-120 + -1)\/(-9 + g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 169.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**3 + v**3 + 10*v**3 + 3 - 27*v - 8*v**3 + 12*v**2 - 9*v**2.\nAnswer: 37*v**3 + 3*v**2 - 27*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 2, c: 4, b: 2, l: 4}. What is prob of picking 2 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.569915 + -618.\nAnswer: -604.430085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 21. Let n(l) = l + 14. What is 7*n(k) - 5*p(k)?\nAnswer: 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1110101110 (base 2) to base 16\nAnswer: 3ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 931 + 445. Suppose 3*n = -3*x + 831, 4*n + s = 5*x - 0*x. Suppose -684 = 4*f + x. Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-12))\/((-134)\/1072)*-6. Solve 2*k - 3*w = -r, -k - 8 = 4*w - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 3*y**2 - y. Let v(x) be the second derivative of -x**5\/2 - 3*x**4\/4 - x**3\/2 + 3*x. What is -7*d(p) + 2*v(p)?\nAnswer: p**3 + 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -197*a**3 - 9*a**2 - 21*a - 14. Let s(h) = 92*h**3 + 4*h**2 + 10*h + 7. What is -6*k(z) - 13*s(z)?\nAnswer: -14*z**3 + 2*z**2 - 4*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4870.505ml?\nAnswer: 4.870505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -71d65?\nAnswer: 71d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -36. Let h = j - -11.8. Let g = -249 + 2243\/9. Which is the closest to g? (a) h (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 28*u + 26. Let i be w(-6). Let d = i - -250. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/2 - 11*q**3\/2 - 3*q**2\/2 + 203*q\/2 + 98 = 0 for q.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9.3. Let k = -241\/4 - -61. Sort k, 0.3, i.\nAnswer: i, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 86 = 3*l, 4*x + 298 = -2*l + 153 + 157 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 14*m - 11*m - 5460, -2*r + 1820 = m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1657045 and -33?\nAnswer: 1657078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.60289 millennia?\nAnswer: 427234.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and -23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + 6*o - 5. Let f be b(2). Let a be 13\/1 + (-3 - (f - -2)). Suppose -4*q - a = -61. Calculate the remainder when 31 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*f = 46*f - 4125. Let r(z) = 11*z**2. Let g(l) = 99*l**2. Determine f*r(v) + 6*g(v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 take away 37715?\nAnswer: -37745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31130213 + -120111?\nAnswer: -31310330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u + 5*z, z - 14 = -2*u - 3*u. Suppose 246 = 2*n + 5*b - 39, -2*b = u*n - 400. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178417279.\nAnswer: 23, 311, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 15*m + 12. Let q be a(-16). Calculate the highest common divisor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03823 and -6773.\nAnswer: -258.93179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Suppose 0 = 4*b - 3 - h. Suppose 4 = b*f - 0. Solve -2*k - 3 + 1 = -p, -2 = 2*p - f*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.611208 minutes to days.\nAnswer: 0.05042445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4587172 smaller than -128440785\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1124 (base 9) to base 10\nAnswer: -832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 8*d + 33. Let c be b(8). What is the greatest common divisor of c and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 150433760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302580?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 125. Sort r, 1, 17 in descending order.\nAnswer: 17, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-7) + -4 - 419. Is ((-7)\/14 + 0)*k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5241 - -21528. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.92 + -5. Suppose -p = 3*g + 5, 12*p + 5*g = 8*p - 13. Which is the nearest to 2\/7? (a) p (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Let j be ((-2)\/w)\/(2\/6). Let i be (-2)\/5 + 4\/10. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqq when three letters picked without replacement from {c: 1, w: 5, s: 1, r: 1, q: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900*b = 296*b - 938*b - 770*b - 211968 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12*a**2 + 62*a + 83. Is w(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o - 4*z - 4 = 0, -4*o = -z - 16. Let w(d) = -d + 8. What is the units digit of w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*k**2 + 106*k**2 + 62*k**2 to f*k**2 + a + d*k and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3005*m**2 + 143 - 7179*m**2 + 3252*m**2 - 143 to the form l*m + s*m**2 + h and give s.\nAnswer: -6932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (23 + 4 - 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1217\/4966*(-204)\/8. Let u = 2\/2483 - d. Is u at most 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*b - 7. Suppose 6*z - 3*z - b = -4*n, -7 = -4*z + n. Differentiate -1 + x**2 - z - 4 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 29*w**2 + 32*w - 63. Determine b(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -928440 + 51518207162\/55489. Are -1 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2949, -5898, -8849, -11802?\n\"Answer: -y**2 - 2946*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let x(r) = -24*r + 24. Suppose 3*q - 2*c = 3, -5*c + 0*c + 1 = q. Let g(f) = q*x(f) + 40*h(f). Find the first derivative of g(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38164\/9 (b) 0.7 (c) -1 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g, 12*g - 14 + 20 = 3*m. Suppose 4*w = -16, -w - 40 = -4*q - 0*w. Is q bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10*(-1)\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 10*t + 3*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)**(-48)\/((((a\/a**1)\/a)\/a)\/(a\/(a\/(a*a**1))))*a**(1\/6)\/(a\/(a*a*a**4))*((a*a*a*a**(-1))\/a)\/((a**(-1\/3)*a)\/a) assuming a is positive.\nAnswer: a**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(230\/60) + (0 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 656030 and 67706?\nAnswer: 588324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-2*-6 + (sqrt(7) - ((sqrt(7) + 5)**2 + -1 + sqrt(7))).\nAnswer: -31 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2152726*x - 3258730 wrt x?\nAnswer: 2152726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbs. Give prob of sequence rsb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 16*q**2 - 4*q**2 - 16*q + 19 - q**3. Let s(l) = 3*l**2 + 46*l + 190. Let h be s(-7). Calculate the smallest common multiple of 14 and y(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -2)*1 + 3 + 1. Let d = 0.9 + -1.2. What is the second smallest value in d, s, -0.26?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 21*s - 40*s + 6*s - 23*s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25348 + -25025. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-4210)\/8841.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -33351693764.4.\nAnswer: -33351693764.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 + 1323?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(268\/((702\/9)\/39))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 184699.93756 to zero dps.\nAnswer: 184700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1225114 (base 6) to base 4\nAnswer: -100012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 2346 = o. Let w = -386 - o. Which is the biggest value? (a) -2\/5 (b) -0.1 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183039 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1451060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 4*t + 6. Let k be a(-6). Calculate the highest common divisor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5*f + 4*v + 20 = 0, 2*v + 10 = -4*f. Let h = 2 - 0. Find the third derivative of -k**6 - h*k**2 + f*k**5 + 0*k**5 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12066*l + 1 + 11 + 2 - 17.\nAnswer: -12066*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18658 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5434 (base 7) to base 2\nAnswer: 11110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8819786600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.43 - -0.4. Let v = 1645.97028 - 1646. Let w = v - o. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 10*m + 2*m)*(3*m**2 + 0*m**2 - 5*m**2) + (m + 3*m - 6*m)*(3 - 3 + m**2).\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816281327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.1 times -56.27?\nAnswer: -33655.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -31.1?\nAnswer: 6.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 5227014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11308 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 80749053 divided by -67347\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) + 193808\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2 + 4*s + 1. Let j be l(-3). Suppose 2*x + 7*b = 12*b - 8, 2*b = 5*x + 41. Let z = j + x. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 20. Let d(c) = -9 - 6*c - 7*c + 19*c - 7*c. Let h(m) = 5*d(m) - 2*g(m). What is h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151025.\nAnswer: 5, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 3:53 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (3 - (-9 - -3)) + -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 700466311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let q(z) = -43861505*z. Calculate r(q(k)).\nAnswer: -43861505*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373997.9ng to tonnes.\nAnswer: 0.0000000003739979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8*k**2 - 7*k + 3. Calculate the remainder when 90 is divided by x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.6, -1, -12, -0.4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -88. Solve t - 5*u + 13 = 0, 5*u - 17 = -t - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6969 and 5034?\nAnswer: 11693982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 7:04 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 218 in 1\/6, 2, -1\/9, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1226*w - 15207 - 3144 - 6169 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.3, 2515, 342?\nAnswer: 2515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77\/6*3*2. Suppose c = 4*b + 3*r - 332, -5*b = -3*r - 518. Suppose -6 = 2*p, 29*l - 3*p + 21 = 31*l. What is the remainder when b is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 3. Suppose 0 = -5*k + 4*f + 28, -y*f - 17 = -4*k - 0*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*k**4 - 177459*k**2 - 448304285 with respect to k.\nAnswer: 164*k**3 - 354918*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 224 - -57?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -74. Solve -3*i = -p + l*p + 10, -i + 2*p - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c + 4. Give w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/5 - 1564584*l\/5 = 0 for l.\nAnswer: 0, 782292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6125\/(-6500) + (-3 - 68\/(-16))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 492 + 501, -3*q + 29 = -n - 64 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {f: 1, r: 8, a: 1, h: 5, q: 5}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, d: 3}. Give prob of picking 2 d and 1 o.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2085*-1.\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844432*y + 0 + 42*y**3 - 844432*y + 0.\nAnswer: 42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88308987.8 rounded to the nearest one hundred thousand?\nAnswer: 88300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(0*n + n + n + 0*n + 0*n - 2*n + 5*n - 2*n - n + (2 + 2 - 3)*(0*n + 5*n - 4*n) + 2*n + 3*n - 4*n + 0*n + 0*n + 2*n + 4*n - 6*n + 4*n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 62, 0.16, -0.1, -12, 4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 + 24264976*t\/15 - 73598632535072\/15.\nAnswer: -2*(t - 6066244)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 9:43 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:13 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/6 of a century in months?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118658 divided by -1?\nAnswer: 118658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5832 and 4752.\nAnswer: 128304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/2))\/t*t)**(-17\/2)\/((t*t*(t**(6\/5)\/t)\/t)\/(t\/(t**0*t))))\/(t**(-6)*t\/(t**(-5)*t))**5 assuming t is positive.\nAnswer: t**(-179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 92. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + (2 - -12) + -39 + 17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488)*-2*-2*6)\/(sqrt(484) - (-1*sqrt(484) - sqrt(484))*4 - (1*1*sqrt(484) + sqrt(484))) + -2.\nAnswer: -2 + 288*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 3*n**2 + 989 + 77 + 71 - 1137 + 0*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 7*v - 3*v)*(5 - 3 - 3) - 3*v + 3*v + v + (1 - 5 + 2)*(2*v - 3 + 3).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145 - -250. Let b be (w\/(-18))\/(-7) + (-1)\/3. Let z = -0.8 - -0.3. Sort z, b, 7 in increasing order.\nAnswer: z, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 286 - 564 + 278.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y + 20 = -56*y. Suppose -2*i - 5*o = -781, o - 398 = 4*i - y*i. List the prime factors of i.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -17554, 5 in increasing order.\nAnswer: -17554, -38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 2. Let p = -9 - -18. Let d be 26\/(-9) - p\/81. What is m(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 86*p + 42. Let t(x) = 29*x + 14. Let q(s) = 3*m(s) - 8*t(s). What is the first derivative of q(o) wrt o?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*t**2 + 122*t**2 - 7*t**3 - 7*t**3 + 13*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -48*t**3 + 2*t**2 - 5*t - 3. Suppose 0 = q + 5*u - 3*u + 8, q = 2*u + 4. Calculate the remainder when o(q) is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43681*l**2\/2 - 3762*l + 162 = 0. What is l?\nAnswer: 18\/209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 - 8.8. What is the third biggest value in 11, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8bd10a - -4?\nAnswer: -8bd106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 2*g)*(-20 - 15 + 10) + 7*g - 2*g - 2*g + (-3*g - g + 5*g)*(-2 + 3 - 4).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 6551*v + 12 + 9 - 39961*v to the form i + t*v and give t.\nAnswer: -33410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 5)*9\/105. Let h be (12 + (12 - 25))*(-22)\/(-4). What is the nearest to -1 in h, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-6))\/((-34)\/51))\/((-75)\/(-270))\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, -1, -3 in ascending order.\nAnswer: -3, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 409330967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -799344 by -266448.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22*2\/(-15))\/(151\/(-906)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20924575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 2*p, -b + 3 + 1 = p. Suppose 1 = -k, -b*t - k = -39 + 4. Let d be (t\/(-6) - -2)*6. Sort -3, d, 4.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189.35 - -189.34993541. Round w to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + 19\/((-741)\/(-260)). Let c be (16\/2)\/(m - 62\/9). What is the greatest common factor of c and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-12))\/(3\/(-180)). Suppose -11*p = -6*p - h. Suppose -c = -3*w - 36, -p*c = -2*w + 3*w - 92. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 + 7*s - 8. Let g(f) = -4*f**2 - 3*f + 4. Let d(j) = -5*g(j) - 3*n(j). Let y be d(-6). Solve 0*v - 20 = w - 4*v, v = y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*n + 409*n - 2 + 2.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 27774072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*t + 3*s + 21, 2*t - 2*s - 14 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 24912 = 70*r - 23488. Calculate the remainder when r is divided by 201.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 884 + -412. Let i = f - 258. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*q - 24 = 0, 8*q = -2*n + 12*q + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.74 - 3.26. Which is the third smallest value? (a) -5\/6 (b) h (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 - 21*j**2 - 4*j - 3. Let z(b) = -b**3 + 5*b**2 + b + 1. Let p(r) = -4*c(r) - 15*z(r). Determine p(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 171 = 3*j - 2*j + 565, -4*j = 3*h - 62 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4345*b**2 + 3433*b**2 + 332*b**2.\nAnswer: 8110*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 11*s**3 - 25*s - 17. What is the first derivative of o(m) wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 110101?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 6. Let j be k(0). Let o be j\/(-10) + 12\/(-20). Let p = 186\/35 - 33\/7. Which is the closest to o? (a) 0.4 (b) -3\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (61*v**2 + 16*v**2 + 72*v**2)*(-v - 2*v + v) + 2*v**3 - 4*v**3 + 0*v**3 as a*v**2 + p + x*v + m*v**3 and give m.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3772?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675841.\nAnswer: 675841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11221 + -5116753\/456. Find the common denominator of f and -131\/456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {w: 2, z: 2, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 4*p - 5)*(-4 + 3 + 4)*(2 + 1 - 6)*(1 + 2 - 7) in the form t + u*p and give u.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/1)\/((-1)\/(-6)). Suppose 0 = -y + 4*y - i + 85, 2*y = 2*i - 54. Calculate the common denominator of -2 - (y\/v + -1) and 19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*v + 9*v - 14*v + 2 - 2 + 43*v**2 wrt v.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10965, -10886, -10809, -10734, -10661, -10590?\n\"Answer: -v**2 + 82*v - 11046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 313, 963, 1973, 3343, 5073?\n\"Answer: 180*p**2 + 110*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - o - 30, 17 = 2*d - 3*o - 10. What is the remainder when 24 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 62*y**2 + y. Let z be c(1). Suppose 4*d + 12*v - 9*v - 30 = 0, d - 7 = -v. What is the greatest common divisor of d and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h - 5. Let l(y) = -3*y + 10. Give f(l(i)).\nAnswer: -21*i + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -708, -3671, -6634, -9597?\n\"Answer: -2963*w + 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/15 + 8*n**4\/15 - 32*n**2\/15 - 32*n\/15.\nAnswer: 2*n*(n - 2)*(n + 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610681703 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -54\/11 - 1\/11*w**2 - 15\/11*w = 0. What is w?\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 2*w**3 + 0 + 0*w - w**2 - 1\/24*w**4. Let i be (-405)\/(-75) + (-2)\/5. What is r(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8841 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 404 - -3. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362161682 a multiple of 4587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 248816595 divided by 16587773\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 16. Suppose 0 = -0*r - z*r + 20800. Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1176))\/((sqrt(96) - (sqrt(96) + sqrt(96)*-2 + sqrt(96) + sqrt(96) + sqrt(96)))\/sqrt(12)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 69. Give p(16).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.1311 rounded to zero decimal places?\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 14*w**2 + 22*w + 19. Let k be x(-15). Let l = 34 - k. Let u = l + -64. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -3125417\nAnswer: -7\/3125417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Suppose -4*g + 0*g + 24 = 0. What is the least common multiple of g and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000795 to 6 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010201002 + 102020?\nAnswer: -2010021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -315*p**3 + 184441*p**2 - 60574*p + 303.\nAnswer: -1890*p + 368882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011001 - 101111111101?\nAnswer: -100111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.577126ml in litres?\nAnswer: 0.003577126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + -0.5. Let y = -3.596 + -1.404. What is the smallest value in k, -2, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120654205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/60 - 4*o**2. Let w(p) be the second derivative of -p**4\/3 - 7*p. Calculate z(w(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1263, 1305, 1359, 1431, 1527, 1653, 1815, 2019?\n\"Answer: z**3 + 35*z + 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1059 and 8337507.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211456 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32849296 divided by -2053081?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 11*b + 15. Let d be n(8). Let g = -28 - d. Let y(f) = 2*f**2 + 27*f + 12. Is y(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w - 23*w - 23*w)*(2 + 1 - 1) + (w + 0*w - 2*w)*(1 - 10 + 10))*(-2 - 1 + 4)*(3 - 3 + 2*w).\nAnswer: -190*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31912479 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {w: 11, t: 6, o: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)\/n)**37)**(-1\/44)\/(((n\/(n\/n**2*n))\/((n\/(n*(n\/(n\/(n\/n**0)))\/n)*n)\/n*n*n))\/((n\/(n*n**(1\/8)))\/((n**(-2\/3)*n*n)\/n))) assuming n is positive.\nAnswer: n**(119\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) - (-5 + sqrt(800) + -2))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5029 - 4413 = -28*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 - -0.9. Let y = 2.2054 + -0.0054. Let m = t + y. What is the closest to 0.1 in m, -5, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -11012\/969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504\/20*(62\/4 - -2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 3*j**3 + j**3 + 20*j**2 - 20*j**2 - j**3 + (2*j - 2*j + 2*j**2)*(0 + 0 + j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7603531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 44*a**3 + 65 - 43*a**3 - 142.\nAnswer: a**3 - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -50. Let x(u) = -u + 11. Let c be x(w). Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322063 is divided by 430.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393757 (base 10) to base 5.\nAnswer: 100100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7385425 kilograms?\nAnswer: 738542.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 22*z**2 + 23*z + 39. Let n be r(-21). Let u(t) = -2*t**3 - 3*t**2 + 5*t + 1. Let v(a) = a**3 + a**2 - a - 1. Calculate n*v(p) - u(p).\nAnswer: -p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -127*7\/(-7) + 0. Let j(s) = -s**2 + 2 + 120*s - 242*s + i*s - 2. Let w = 6 - 0. Give j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2429525*q**3 - 10*q**2 + 2504752*q + 6 wrt q?\nAnswer: -14577150*q - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162 - -158. Let k(z) = 3*z**2 + 4*z + 1. List the prime factors of k(i).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*z - 63 = -3*u, 3*z = 4*u - 57. Let i = u + -25\/2. Let o = 1\/5 + -7\/10. What is the nearest to i in 3, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g + 411 = 15*g + 1159 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*b + 31849990, -4*i - 5*b = -8*i + 25480010. What is i rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -248797\nAnswer: 99\/248797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(14 + 6)*14\/(-3). Calculate the greatest common divisor of u and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934865.\nAnswer: 3, 5, 19, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = l - 6*l. Let t be (-73 - -72 - -2*1)*13. What is the greatest common divisor of t and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f**7 - 1\/60*f**5 + 0*f + 0*f**6 + 0*f**4 + 3*f**2 + 0*f**3 - 1\/336*f**8 + 0. Find the third derivative of o(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 12) in base 11?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 8. Let p be q(5). Suppose 5*g = -p*i + 8, 0*g - 18 = -2*i + 3*g. Suppose -4*j + 560 = 4*x, 410 = 3*j - x - i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -29.8 = 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 12 = 11*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1479 + 2330. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.0768.\nAnswer: 0.8448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-12))\/(4\/16). Let a be 1 + ((-64)\/(-36) - 3). What is the nearest to o in 1\/3, 2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 62 = q. Suppose -12 = q*j - 6*j. Solve 6*s - 3*s + j*y = 30, 0 = -2*y + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(77) - sqrt(77)*-1)*5 + (sqrt(77) - (sqrt(77) - sqrt(77)*1)*3)))\/((6*sqrt(99)*-2)\/(sqrt(36)\/sqrt(4)*2)).\nAnswer: -55*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313 = 57*n - 401 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6786899 + 6786899 - 2131*p**2)*(-4*p + 3*p + 3*p) to the form c*p + q*p**3 + f + g*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m**2. Let o(s) = -8*s - 957. What is b(o(z))?\nAnswer: -576*z**2 - 137808*z - 8242641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-5))\/(71\/(-355)))\/((-2)\/(-1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 0 + 1 + 3. What is z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -18. Let f(c) = -16 - p*c - 5*c + 13*c. Let l be f(-9). Solve -l*b - 4 = 0, 3*s - 5*b = s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 674.\nAnswer: -67.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 o when three letters picked without replacement from {k: 3, x: 4, o: 8, s: 2, m: 2}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**2 - 3*h - 1. Let w be o(-3). Let q = -843 + 907. Let r = q + w. Calculate the remainder when 51 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -21999994*r + 6. Let m be t(-1). What is m rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1856 and 2368.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 34. What is the remainder when z(10) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**8\/141120 + l**7\/8820 + l**6\/1260 - l**5\/60 - 3*l**2. Let z(t) be the third derivative of f(t). Factor z(s).\nAnswer: (s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((0 + 4)\/2). Let d(v) = v**3 + 7*v**2 + 2. Let u(q) = q**3 + 6*q**2 + 2. Let s(p) = 6*d(p) - 7*u(p). Determine s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 68?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275.36 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2394\nAnswer: 4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o = -129*o + 6. Sort o, 0, -2, -8.\nAnswer: -8, -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 215.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 - 6 - (1 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*p**3 - 115*p**2 wrt p.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/835 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n**3 - 19*n**2 - 7*n - 13. Let b(k) = 5*k**3 - 9*k**2 - 3*k - 6. Let g(j) = 13*b(j) - 6*x(j). Let t = -389 + 385. Give g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x**22)**(-8\/5) assuming x is positive.\nAnswer: x**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 91, 2.4, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - 240. Which is smaller: -272 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 117092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -0.1, -0.29, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/260 - (-447)\/(-30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = -5*o. Suppose 3*v + 37 = -2*n, 0 = -6*v + 2*v - n - 56. Let i be (-290)\/v - 2\/o. Calculate the highest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 2, y: 5, f: 2}. What is prob of sequence foo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 389*f**3 - 1229*f**3 + 2*f - 2694*f**3 + 48*f**3 as l*f + g*f**3 + j + x*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183121499 to the nearest integer?\nAnswer: 13532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 3*k - 3*k + (-3 + 3 + 2*k)*(1 + 0 + 1) - 183*k - 153*k + 23*k to x + s*k and give s.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Let c(o) = 70*o**2 + 8*o - 7. Is c(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + t**2 - 1. Suppose -h = -4*h + 9. Is i(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27199 + 39186. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 679 - 2715\/4. Let x(b) be the second derivative of 4*b + 0*b**2 + 0 + 5\/6*b**4 - 5\/2*b**3 + s*b**5. Factor x(m).\nAnswer: 5*m*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -427, 2, 3, -708 in ascending order.\nAnswer: -708, -427, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d + 2 = 0. Which is the nearest to -1\/4? (a) d (b) 2\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:26 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 d when three letters picked without replacement from denddiwndpdwwiw?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5932 + 6404. Calculate the highest common factor of l and 2242.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:14 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 564492, 562476, 560458, 558438, 556416, 554392, 552366?\n\"Answer: -u**2 - 2013*u + 566506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (60 + 18 + -24 - -5).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (308\/42)\/((-251)\/126 + 2)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + 1*sqrt(136) - sqrt(136))*-6)\/((sqrt(8) + (sqrt(200) - sqrt(8)))*-2)*-1.\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2853711 is divided by 9772.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7754 + 7757. Solve -y - 1 = -2*l, -7*y + s*y = -5*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124742 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*t + 3*c + 3, 4*t - 41 = 5*c. Solve y - f = -2*y + 19, 0 = -t*y - 5*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23915 is divided by 554.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 - 3*y + 1. Let o(q) = -6*q**2 - 3*q + 1. Calculate 4*h(t) - 3*o(t).\nAnswer: -2*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 6*w - 6*w)*(-w**2 - 5*w**3 + w**2) + (1 + 2*w**3 - 1)*(2 + 2*w**2 - 2) - 4*w**5 + 4*w**5 + w**5.\nAnswer: 20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30622.744 and -3794.\nAnswer: 26828.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110b (base 16) in base 4?\nAnswer: -1010023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 25\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3 + 95*l**2\/2 - 148*l - 40 = 0.\nAnswer: -1\/4, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -514930438 and 3.\nAnswer: -514930435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5135086?\nAnswer: 2, 11, 41, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -18.6 (b) -4 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:28 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.4. Let v = -0.5 + p. Let s = v - -0.5994. Round s to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**11*k*k)**(-17)*k**(-1\/10)\/(k**(-11\/3)\/k))**(16\/7) assuming k is positive.\nAnswer: k**(-51944\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -5, -286, 4, 12, 7 in descending order.\nAnswer: 12, 7, 4, -3, -5, -7, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 29414*d**2 - 29372*d**2 - 1.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2. Let w(h) = h**2 - 3*h - 19. Let g be w(6). Let q be o(g). Factor 6*u - 5*u**3 - u**q + 7*u**3 - 5*u**2.\nAnswer: u*(u - 3)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 12518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 51. Calculate the remainder when 73 is divided by (-12)\/16 - t\/(8\/(-310)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83102 + 748942\/9. Suppose y = -5, -3*k + 258 + 79 = y. Let q = k - p. Put -0.1, -0.3, q in ascending order.\nAnswer: -0.3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14721?\nAnswer: 3, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3969 * -0.1\nAnswer: -396.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 4*q + 138, -3*q = -5*f + 317. Calculate the highest common divisor of 4148 and f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 11*i + 12. Let l = 7 - 8. Let y = l + -11. Let j be n(y). Do j and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/(-2 + 10)*(-2 - -3). Suppose -a = -2*c - 3*d + d, -2*c - 5*d = -17. Solve -7*z + c = -9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 36. Let u = y - 7. Suppose u*w + 14 = 2. Let j(m) = -m**2 - 6*m - 7. What is j(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 2. Let x(k) = 5*k + 1. Let q(b) = 5*w(b) - 4*x(b). Let c be q(7). Suppose c = 5*p - 4*y, 0 = p + y - 2 - 6. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295786079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -282? (a) 1\/5 (b) 17 (c) -2\/11 (d) -13\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let z(n) = 24489*n**2 + 7*n - 37. Calculate o(z(v)).\nAnswer: 24489*v**2 + 7*v - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((394 - 16)\/27)\/(1*2) - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/5211 + 1741\/5211. Which is the biggest value? (a) -2\/5 (b) -0.2 (c) -3 (d) -28\/13 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*m + 3*r - 14, 0 = -2*r + 4. Put m, 3, 0 in increasing order.\nAnswer: 0, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 2*s**2 - s + 5. Let h(r) = -r**3 + r**2 + 2. Let q(p) = -5*h(p) + 2*m(p). Let b be q(-2). What are the prime factors of (36\/b)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 33*x**2 - 11*x - 572. What is b(34)?\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n**2 + 2055*n + 59*n**2 - 117*n**2 + 7065*n.\nAnswer: -2*n**2 + 9120*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -182*r + 749. Let i be g(4). Which is the biggest value? (a) 1\/12 (b) i (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-14) + ((-765)\/75)\/(42\/(-170)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202335 to the power of 1\/2, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 61*s - 928. Let g be k(-30). Solve -g*p + h + 1 = 0, -9*p - 4 = -7*p - 2*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 + h**2 - h + 1. Let f be c(1). Calculate the remainder when 7 - (-7)\/((-14)\/f) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = m + 3, -3*m = -m - k + 6. Let h(f) = f**3 + 6*f**2 + 5*f - 1. What is the smallest common multiple of 44 and h(m)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330939, 331094, 331249, 331404, 331559?\nAnswer: 331714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, a: 4, f: 2, o: 1}. Give prob of picking 3 j and 1 f.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 5:03 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) -0.1 (d) -28\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 8)*12\/4*-3. What is the closest to i in -0.2, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 385*q**3\/2 - 303*q**2\/2 + 119*q. What is the derivative of c(h) wrt h?\nAnswer: 1155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 7425030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y - 2*a - 4, -3*y - 2*a + 11 = 0. Suppose -4*h - y = -19. Solve 0 = -h*m - m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(9\/5))**(-26) assuming p is positive.\nAnswer: p**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 17*p - 18*p. Suppose -65 = -4*k - 3*r, k = -k - 2*r + 30. Suppose c = q + 2*q - 2, -k = -5*c. Is q greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 3*t**2 - 5*t + 5. Let z be u(4). Let d be z\/((-4)\/436) + 1. Let b = 79 - d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**5 + 2*n**5 - 4*n**5)*(3 - 2 - 2) + 41*n**5 + 9*n - 9*n.\nAnswer: 42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 71 - 72 = -b, 3*r - 2*b = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.85181 hours?\nAnswer: 3066516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a - 1. Suppose 0 = -5*h + 4*g + 33, -5*h + 0*g = -2*g - 29. Suppose -t - 6 = 4*y - y, -3*t - 4 = -h*y. Determine b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*q = 41728, 5*o - q - 46376 = -4633. Let f = -26348 + o. What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 190*u + 1455. Let c be n(182). Which is smaller: c or -3\/6077?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:44 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-42) - 16\/(-7). Suppose -4*n - 5*o = -40, 8 = t*o - 0*o. Suppose -2*b - n*i + 22 = -b, -8 = -2*i. Solve v + b*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 119, 134, 165, 218?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + 1 + sqrt(153))**2.\nAnswer: 24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 112*x - 2175 = 0. Calculate x.\nAnswer: -87, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/2)\/(12\/(-24)). Let f be -1 + 3 + 12\/j. Suppose -5*s - l - 19 = 0, -81*l = -86*l + 5. Sort 2, 3, s, f in decreasing order.\nAnswer: f, 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 2099*r**7\/42 - r**4\/12 - 63*r**3 + 2798*r. Find the third derivative of q(z) wrt z.\nAnswer: 125940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10d (base 14) to base 9\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9695.537cm?\nAnswer: 96955370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = -4*o + 5, -3*o - s + 8 = 0. Let a be (-81)\/1*(-1)\/o. Suppose g - a = 12. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*5\/180 + 6\/(57 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 + 5*w**2 + 5*w. Let m(t) = 6*t**3 - 4*t**2 - 4*t. Let x(u) = 35*u - 136. Let d be x(4). Calculate d*l(v) + 5*m(v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n + 39. Let q be c(5). Suppose -5*d + q*a + 1410 = 262, 0 = d + a - 235. What is the highest common divisor of d and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-11))\/((-1006)\/93558)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141845\/12 - -11827. Calculate the common denominator of d and 49\/1732.\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 - 164*l**2 + 2615*l + 152250 = 0.\nAnswer: -174, -25, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3241*r + 3243*r + b - 2, b - 2 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 21*m - 5*a - 63421, m + 2*a - 15865 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 k, and 1 u when four letters picked without replacement from {c: 4, u: 1, g: 4, k: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*b, 4*y + 610*b - 14 = 612*b. Solve -4*m + p - 302 = -309, m - y*p + 22 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020905229 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -337 (base 16) to base 8\nAnswer: -1467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*n + 2326*n + 209223 = 0 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**4\/6 - 13*u**3\/6 - 415*u**2. Let k = -265 - -270. Determine d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(-4 + 4 + 2) - 4*f + 0*f - 2*f + (4 - 5 - 1)*(1 - 1 + f) - 4*f - f + 4*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**2 + 4*u - 18*u**2 - 4*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 72692?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4688*q + 93758. Calculate g(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 14048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 + 3*k**2 - 4*k**2 + (3 + 1 - 3)*(23 + 12*k**2 - 23) to j*k**2 + o + h*k and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34445968 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 44 + 27)*(-22 - 96*b + 21 + 93*b)*(2*b + b - 5*b).\nAnswer: -306*b**2 - 102*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45421 + 114?\nAnswer: -45303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/17 + 328*v**4\/17 + 3106*v**3\/17 + 3956*v**2\/17 - 7392*v\/17 = 0. What is v?\nAnswer: -154, -8, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 169*d**7\/210 - 143*d**6\/60 + 23*d**5\/20 + 11*d**4\/6 + 2*d**3\/3 - 46*d**2. What is l in j(l) = 0?\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1590.9 - -1589.9. Which is the closest to -0.6? (a) 4\/3 (b) -4\/9 (c) v (d) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r + 45. Let p be 3\/15 - r\/5. What is the closest to p in 3\/2, -1\/8, -1\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 9*i - 4*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 166*c**4 + c - 30?\nAnswer: -20*c**3 - 1992*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109 - 5520\/69) + -55?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1402894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38115 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66\/30 - -6)*20. Let r = m + -4. What is the remainder when r is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b)\/b**(-6)*(b\/((((b**(-1\/3)\/b)\/b)\/b)\/b*b*b))\/b**(-5\/4)*(b**1)**(-38)\/(b\/b**(-1)*b**4) assuming b is positive.\nAnswer: b**(-341\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-35 - -51) - ((20 - 1) + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/5, -4775, -0.1, -0.04, -7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 892*i + i**2 - 896*i + 8 + 5*i**2. Let o(s) = -2*s**2 + s - 2. Let c(r) = 4*o(r) + t(r). Let j(z) = -72*z + 3 - 3. Give j(c(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-885)\/(-75) - 14 - (-52)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*s = -8 + 2, -12 = -2*x - 3*s. Let j(i) = 9*i + 9. Let d(m) = 10*m + 10. Let l(g) = x*d(g) - 7*j(g). Let o be l(-1). Solve o = 3*h + 8 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5854, 5855, 5854, 5851, 5846?\n\"Answer: -o**2 + 4*o + 5851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 447129 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 + k + 0*k**2 + k + 0*k - k**2. Let h(u) = -u - 1. Let s(v) = v**2 + 2*v + 2. Let o(a) = -5*h(a) - s(a). Give -6*l(x) + 4*o(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(228) + sqrt(228)*2 - sqrt(228)) + 1*sqrt(228)*2)*-2)\/(3*sqrt(48) - sqrt(24)\/(sqrt(32) + sqrt(2))).\nAnswer: -40*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1075*u**2 + 2*u - 10*u + 1069*u**2 to the form t + f*u + g*u**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -30. Calculate the remainder when 123*3\/k*2 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -235507 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(18\/3 - 5). Sort -4, d, 1\/7 in ascending order.\nAnswer: -4, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16717\/44 + -4182\/11. Which is the nearest to 1\/3? (a) 4\/17 (b) 3\/4 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2669 and 19154.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 4:23 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053202 rounded to 6 dps?\nAnswer: -0.000532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let v(h) = -70*h + 5311. Give v(d(f)).\nAnswer: -70*f + 5311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:21 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192, 1063, 934, 805?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.45 + 1.55. Sort -5, 0.3, b, -1\/15 in ascending order.\nAnswer: -5, -1\/15, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1\/3*i**3 + 67 + 3\/2*i**2 + 4*i. Give w(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - -18 - 4)*32\/(-10). Let i(t) = t**3 + 15*t**2 - 16*t - 5. What is i(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0*j)**29\/((j**(5\/3)\/j)\/(j\/(j*j*j\/(j\/(j*j**(2\/7)*j)))*j)))**(-24) assuming j is positive.\nAnswer: j**(-4376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 69544 - 69559 + 5*z + 0*z as j*z + g and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1455 + 227 = -3*w, -w - 1831 = -3*j. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 80 = -3*n, -13989*n - 9 = -3*o - 13993*n - 124 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.2 + 0.8. Let c = 63.5002854 - 45.500291. Let m = i - c. What is m rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcd when three letters picked without replacement from icicccigjiccdidn.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976174792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3389 is divided by 259?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (3 + (-5)\/5). Suppose -d*c + 6*c = 18. Solve 3*y + 2*k - 1 = -9, -4*y = k + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -69.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -g + 260, -4*y = -11*g + 14*g - 252. Calculate the highest common factor of y and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240610949?\nAnswer: 3, 137845661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 22 - 13 - 560*i**3 + 558*i**3 to the form d*i + w*i**2 + h*i**3 + v and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.59201 + 0.09201. Sort 4.3, -0.1, t in decreasing order.\nAnswer: 4.3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x - 63. Let t be q(-4). Solve 0 = -56*z + 51*z - t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002302 (base 4) to base 6\nAnswer: -31442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2\/351 (c) 10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, -5.\nAnswer: -5, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58841 minus -0.160239?\nAnswer: -58840.839761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(25\/4)*-5*30. What is the hundreds digit of ((-701)\/2)\/((-4)\/b*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7736 + 12344. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87946 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:13 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 5*v**4\/12 + 25*v**3\/6 - 35*v**2 - 29*v - 1. Factor x(q).\nAnswer: 5*(q - 2)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 710.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 134 + 34. Let f be 15*1 + 2\/(-2). What is the greatest common factor of f and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387796 divided by 263?\nAnswer: 2387796\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5 - 27\/4*g**4 - 3\/2*g + 0 + 27\/4*g**2 - 3\/2*g**3 = 0?\nAnswer: -1, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 25\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123 + 138 - 515)*(0*t**2 - 4 - 2*t**2 + 3)*(-3 + 3 - 1)*(0 + 2 - 1)*(4*t + 5 + 4*t - 9*t) as w*t**3 + c*t + j + y*t**2 and give j.\nAnswer: -2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 608 + 4*d + 11*d**2 + 473)*(-4 + 4 - 2*d).\nAnswer: -22*d**3 - 8*d**2 + 104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 * 114248.\nAnswer: -12567280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 - 4*u**3 - 14*u**2 + 40*u - 24 = 0. What is u?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*m - 12, 2*m - 3*m = -2*j - 13. Suppose t + 296 = m*t. What is the remainder when t is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*j**2 - 1 + 1.\nAnswer: 523*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 2. Let i be l(-4). Suppose 6*y = i*y - 52. What is the highest common factor of y and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, 15, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 142519\/9 = 15835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*4*(2460\/(-40))\/41.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, 19, 7, -3, 6 in increasing order.\nAnswer: -16, -3, 1, 6, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 209*b**3 - 5*b**2 + 5. Let w(a) = -209*a**3 + 6*a**2 - 6. Give 6*q(l) + 5*w(l).\nAnswer: 209*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8451024*m**3 + 12155622*m**2 wrt m?\nAnswer: -50706144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/34 and 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from {r: 3, x: 1, l: 1, y: 2, i: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4967351229 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*z**4 + 724600*z**3 - 310548*z**2.\nAnswer: 4*z**2*(z + 25879)*(7*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - r = 3*r + 2, 37 = n + 3*r. Suppose 4*o - 11*w = -14*w + 160, -5*o + 235 = -5*w. What is the remainder when o is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/7, 113, -0.2, -4.1, 1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/20*70\/168. Let m = -75 - -147\/2. Sort m, 4\/3, q in increasing order.\nAnswer: m, q, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1380*i*x**3 + 4*i*x + 24*x**2 wrt x.\nAnswer: -8280*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/18, -1427, -3\/8 in ascending order.\nAnswer: -1427, -3\/8, 29\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 41. Let l be 1 + 8\/u - 1. Let m be (0 + 1)\/((-5)\/(-2)). Which is the nearest to m? (a) l (b) -1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001401 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3464 - -3466. Solve -4*b + g*b = 2*w + 6, -5*w = 2*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -12) + -5 + (-2 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -362?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(64) + sqrt(4)) - (0 + sqrt(612) + sqrt(612) - sqrt(17)).\nAnswer: -54*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/2 - 431*r - 103683\/2 = 0.\nAnswer: -107, 969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95604 and 10044?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 101 + (-98 - -11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 1763356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, r: 3, i: 4, z: 4, n: 1}. Give prob of picking 1 i and 2 v.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-126)\/(-49))\/(40\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than -0.105?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 2*t + 39. Let w be j(0). Suppose -2*r + 5*r - w = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 - 12. Let h be m(6). Suppose -h = -4*a - 2*a. Suppose 4*w + 40 = -a*l + 132, 5*w - 3 = -l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/7)\/q*q\/q**(1\/16) assuming q is positive.\nAnswer: q**(25\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*v**2 + 70*v**3 + 7*v**2 - 21*v**3 wrt v.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.45421 and -3.\nAnswer: -8.45421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4289 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4700074?\nAnswer: 2, 907, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201619739.\nAnswer: 127, 1587557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 3788448*g - 1196028187392 = 0. What is g?\nAnswer: -631408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000194 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -340*v + 2043. Let a be r(6). Solve -m + 5*b = -a, 2*m + 12*b - 9*b + 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.8 + 0.8. Let u = o - -19. Let q = -3 + 2. Put u, q, 0.3 in descending order.\nAnswer: u, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 9*c**2\/2 - 2*c + 1. Let m be (329\/14)\/47 - 15\/6*1. Let k be h(m). Which is smaller: -19 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 5\/3*c**3 - 3*c**2 + 0 + 1\/60*c**5 - 3\/8*c**4 + 0*c. What is the units digit of o(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*f + 51 = 0, 3*f + 2*f = -25. Find the common denominator of 149\/6 and 428\/x*45\/(-120).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -393 - -569. Suppose 5*c = 9 + o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4 - 39*s. Let j(v) = 12*v. Determine n(j(o)).\nAnswer: 1728*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g**4 + 9*g**3 + 2125*g**2 wrt g?\nAnswer: 384*g + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 861 in -5, -0.1, -16, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113 times -0.5?\nAnswer: -0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 139230 and 21472360.\nAnswer: 193251240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5979409.386254 - 1\nAnswer: -5979410.386254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 46.6. Let h = -1618\/9 + 180. Suppose 5*u - 33 = -8, -2*u + 14 = -v. Sort v, h, s in descending order.\nAnswer: h, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9430307 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*l + 3*l + l - 2 to h*l + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100100112011 (base 3) to base 4\nAnswer: -230330122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157 + (-46 - -79) + -127.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39414, 78826, 118238, 157650?\n\"Answer: 39412*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 287 = -3*m, 3*m - 379 = -5*q. Let i = q - 36. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -24*h + 36. Let z(t) = 7*t - 12. What is -2*f(q) - 7*z(q)?\nAnswer: -q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 10 = -4*b. Let f(g) = -2*g - b*g + 6*g - 3*g**2. Let s(j) = -4*j**2. Calculate s(f(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 3*c - 1, -2*t - 6 - 1 = -5*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49130233 to the power of 1\/2, to the nearest integer?\nAnswer: 7009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1)*(-18)\/3. Let t be (-18)\/d*4\/6. Let k(h) = 2*h**2 - 3. Let u(p) = -p**2 + 1. Calculate t*k(g) + 3*u(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1138 or -1140?\nAnswer: -1138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - c - 4 = 0, 6*t - t - 23 = 2*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299) + 5 + -5 - ((sqrt(2299) + 1)*2 + 1))**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, k: 4, m: 7, n: 8}. Give prob of picking 4 n.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/10 (b) 0.2 (c) 0.7 (d) 2\/32685 (e) 6 (f) 0 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, -28, -103, -214?\n\"Answer: -18*t**2 + 15*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 38. Let w be (-2*k\/(-6))\/(-1). Solve 0 = 2*f - w*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8510 and 1480.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4*o + 113*m**2*o - 17*m*o + 3*m wrt m.\nAnswer: 36*m**2*o + 226*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/2163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-16)\/18)*(-4)\/(-16). Which is smaller: m or 2\/69?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4268159*c**3 + 2871202*c.\nAnswer: 25608954*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -2\/7, 0.2, 2\/5 in descending order.\nAnswer: 181, 2\/5, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 293?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybuuuujbr. Give prob of sequence ryb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 63 = -3*q, -4*q = -4*a - 17 + 125. Let n be (-18)\/a*-4 + -7 - -3. What is the closest to -0.01 in -1\/7, -3, -0.4, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-11) + (-4)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -275263174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/1358? (a) -1\/2 (b) -18 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 304 = -6*s + 5*f, 0 = 2*s + 5*f - 122. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193369?\nAnswer: 11, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by (1 + -4)\/(4\/(-8))*(-312)\/(-16).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1656638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = 0, -43*g + 39*g = 5*a - 63. Solve 102 = -0*c + g*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31584 and 1974.\nAnswer: 31584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 14*r - 15)*(-3*r - 2*r + 3*r) - 15*r**2 - 16 + 16 to the form z*r + c + p*r**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 45*h**2 - 198*h + 8. Let g be y(6). Let u = 0.24 - 0.2. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times 18?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -7*j**3\/6 + 7*j. Let q(w) = -w. Give r(q(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3339588742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.4 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/9)\/2)\/(12\/(-36))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1415 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 1. Suppose 3*p - r = 10 + 2, 3*r - 8 = -2*p. Suppose -c = -3, 4*c + 16 = p*j - 68. Let t(b) = j + 7*b - 16 - 9. Determine -t(x) + 5*y(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*r = 23, 4*r - 329 + 358 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119299 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 greatest common divisor of 28771456 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 120\/28 + (-2)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3 + 6*z + z**2 - 13*z**3 - 5*z + 13 + 3*z**3. Let s(a) = a**2 + a. Let g(h) = c(h) - s(h). Find the first derivative of g(n) wrt n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(500))**2 + sqrt(500))*-3.\nAnswer: -24000 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34\/9 (b) -1\/4 (c) 1\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -10. Let b be 1 + 5*(-6)\/q. Solve 4*c = -b + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 563?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**2 + 58*v - 6. Let z(l) = 9*l**2 + 58*l - 7. Let o(s) = 4*r(s) - 5*z(s). Let t be 5 - 8 - 15\/3. Is o(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1)*3 - 2. Suppose c + 2 = -3*u + 4*d, -3*u - 6 = -5*d. Solve -5*l - 21 = -2*v + u*v, 2*v - 10 = 3*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**3\/6 - 2*p**2 - 3*p. Let q be r(-8). Solve 0 = -l - 1 - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 308*z\/9 - 310\/9.\nAnswer: 2*(z - 1)*(z + 155)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 + -1 + -1)*(-5 + 531\/118). Solve -h - 4*d = -x, -4*d = -9*h + 7*h + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 513?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5052 by -266.\nAnswer: 2526\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d)*(-9*d - 11 + 11)*(d**3 - 5*d**3 + 3*d**3).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-55)\/(-11) - 0\/1. Let w(g) = -g + 6. Let s be w(t). Suppose -5*k + 1 + s = -4*l, 0 = 4*l - 3*k - 2. Solve -3 + 5 = -l*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111011111000 (base 2) in base 16?\nAnswer: -2ef8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 13) in base 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*w + 167*w - 118741 - 39614 = 1776*w for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*b + 157 + 46 + 539 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1320 + 1351. Solve 0 = 13*g - y + 70 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + z - 392 = 0, 2*t + 5*z = 1121 - 313. Is 36 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 0*u = -605. Let p = u + -52. Solve -5*t - 5 = -3*s, -2*s + 2*t + p*t + 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n. Let l be o(0). Suppose l*j - 4 = -2*j. Let x = 322 - 322.2. Which is the closest to j? (a) 0.1 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 13 = -51. Let m be (-2)\/4 - (-18)\/20. Suppose -2\/5*p**c + 0*p - m*p**3 + 0 + 0*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -25, -123, -311, -619, -1077, -1715, -2563?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.9, 5047 in descending order.\nAnswer: 5047, 1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 100 (b) 66\/17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 + (-7806)\/(-10). Round m to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h\/h**3)*h*h**(-6)\/h*h**9)**12 assuming h is positive.\nAnswer: h**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 4*c = 0. Let k(n) be the third derivative of 0*n**4 - 3*n**2 + 1\/240*n**5 + 0 + 0*n + c*n**3. Factor k(o).\nAnswer: o**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(8\/(-2))*(-10)\/(-75)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*d + 4, d = -2*d + 6. Let j be 16537\/161 - t\/(-42)*-3. Find the second derivative of 11*g**5 + 103*g**4 - 22*g - j*g**4 wrt g.\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let j(h) = -h**3 - 11*h**2 - 19*h - 7. Let o be j(-9). Suppose g = y + v - 6*v + 15, -3*y = o*v + 11. Is -6 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 2552?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l + 15. Let q(a) = a + 2. Let f(h) = -5*q(h) + u(h). Let o = -6 - -1. Calculate f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1 = 3*t + 9, 2*t + 10 = 2*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479668 divided by -479668.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*j*j\/(j**(-4\/15)*j))\/(j*j\/((j\/(j\/j**(-2\/11)))\/j)*(j\/(j\/(j**(-5\/6)\/j)))\/j) assuming j is positive.\nAnswer: j**(-669\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Suppose -3*g - s - 3 = 0, -g + 2*s = 3*s + 1. Let y be (-6)\/3*g\/(-2) - -3. Sort y, -3, n, 4 in decreasing order.\nAnswer: 4, y, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376 - 366. Solve -w - q = w + 4*r, 0 = -5*r - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let r(x) = -30*x**2 + 6*x + 4. Let i(z) = -12*n(z) - r(z). Does 19 divide i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 3. Let h(x) = 0 - 7 + 6*x - 3*x. Determine -4*h(q) - 10*p(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*(sqrt(931) - 5*(sqrt(931) - (sqrt(931) - (sqrt(931)*3 + sqrt(931)))) - sqrt(931) - sqrt(931)) - sqrt(931)*-2*5*6) + 3)**2.\nAnswer: 3276*sqrt(19) + 1416087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 3*j + 138, 3*j = -4*l + 163. Suppose 0 = 23*b - 22*b - l. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 6\/(-3) + 1. Suppose 12 = 2*p + g*x - x, x = 5*p - 30. What is the lowest common multiple of 7 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-9\/4))**(3\/19)*(l\/((l\/(l\/(l**(2\/9)\/l)))\/l*l))**(-6\/11)*l**(2\/19)\/(l\/(l**(2\/15)\/l)*l) assuming l is positive.\nAnswer: l**(-11141\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397725 divided by 3.\nAnswer: -132575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/7 + 527026*y**2\/7 + 9491004*y = 0. Calculate y.\nAnswer: -126, 0, 263639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -264*r - 64. Let x(s) = -41*s - 10. Let j(m) = -5*n(m) + 32*x(m). Let o(k) = 22*k. Calculate o(j(h)).\nAnswer: 176*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*o + 122*o + 110 = 117*o + 7*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9977776 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327085*i**3 + 72*i**4 + 327084*i**3 - 5*i**2 + 2*i**2 - 7 + i**2 - i + 3*i**2 to x + k*i**2 + f*i**3 + y*i**4 + g*i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 1, i: 13}. What is prob of sequence hah?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -2*l + 389. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4200 = 2*f + 4154, 3*t + 64 = 2*f for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2970 - 75. Let c = g + 1648. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*i - 2*t, 3*t - 6 = -15 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 855784 and 7544.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, -3\/7, 2\/7, -2.2 in decreasing order.\nAnswer: 2\/7, -2\/35, -3\/7, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*l + 1025, 217 = l - 0*l - 2*i. Suppose g + l = 4*h - 46, -3*g = 9. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*i + 10235 = 44734, 3*t - 25869 = -4*i. Is t a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))\/l**(-1)*l**(1\/2)*l*l**(-4))\/((((l**0\/l)\/l)\/(l*((l\/(((l**(-3)\/l)\/l)\/l))\/l)\/l))\/(l**(-1\/2))**(-17\/2)) assuming l is positive.\nAnswer: l**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-117 + (-3 - 0) + 2). Suppose 19*q + r = 20*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 0 = -q. Let t = q + 12. Let x = 2.34 + -1.34. What is the closest to -1 in x, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 15) in base 2?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 9*u**2 - 7*u - 14. What is f(-6)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.81955 decades in months?\nAnswer: 11018.346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = 1. Let x(a) = 9*a**3 - 7*a**2 + 15. Let p(k) be the third derivative of k**6\/24 - k**5\/15 + 4*k**3\/3 + 3*k**2. What is q*p(c) + 6*x(c)?\nAnswer: -c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480918 divided by 4903?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 260519910 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1053 or 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 1. Let z = 1 + 2. Let k(y) = -2*y**2 - 8*y + 5. Let a(o) = z*g(o) + k(o). Let s be a(6). Let j(t) = t + 5. What is j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 64, 66, 40, -20, -120, -266?\n\"Answer: -x**3 - 5*x**2 + 46*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - 2*sqrt(105))\/sqrt(7))\/(sqrt(12)\/(2*sqrt(4))) - (1 + sqrt(5) + sqrt(20) - (4 + sqrt(20)))**2.\nAnswer: -14 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 25*d**3 - 2 - 2*d**4 + 5*d**2 - 6*d**3 + 9*d - 25*d**3 - 10*d to the form w*d**4 + a + x*d**3 + m*d**2 + f*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -895?\nAnswer: -895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(300)*1 + -3 + sqrt(6)\/sqrt(2) + sqrt(24)\/sqrt(200) + 4)**2.\nAnswer: 1152*sqrt(3)\/5 + 62608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4340 - 1739. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -14.4?\nAnswer: -115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383 - 8\/(16\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3466 * 2\nAnswer: -6932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 2. Let n be x(-14). Suppose 0 = 2*k + k - n. Is k at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 18*h**2 - 11*h + 16. Calculate t(-17).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 5964740*p + 1778906163380 = 0. Calculate p.\nAnswer: 596474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**3 + 508991*p**2 + p - 6*p**3 - 508991*p**2.\nAnswer: -15*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 727994?\nAnswer: 436796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 417729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/26)\/(162\/(-1377)). Is n <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1595.3 and 0.4.\nAnswer: -638.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 229138.5um?\nAnswer: 229138500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/87, -2, -2138 in decreasing order.\nAnswer: 2\/87, -2, -2138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -95071 (base 14) to base 5\nAnswer: -43001223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cioamoccoicm. What is prob of sequence cii?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.5051053 rounded to 2 decimal places?\nAnswer: -109.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141180 by 14118.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87057.\nAnswer: 3, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)\/c)**(-5\/4)\/(c**(-3)*c**(-5\/2)\/c)*(c**(-1\/4))**(-8)*(c*c\/(c**(-1)*c))**(2\/3) assuming c is positive.\nAnswer: c**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*v + 503*v - 448*v.\nAnswer: 1143*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 21*r**2 + 8*r - 13. Let g(k) = 6 + 0*k**2 - k**3 - 4*k + 0 + 10*k**2. Let t(u) = 13*g(u) + 6*i(u). Let t(b) = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.939 + -17.739. Let w = 1.1 + -0.1. Let v = 0 + w. What is the nearest to v in l, 2, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4427840 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 1)*(-1555*i**3 - 1542*i**3 + 2493*i**3) to g*i**2 + k*i + x + l*i**3 and give l.\nAnswer: 3020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 7*j - 1233. Let k = j + -120. Suppose 2*d - 4*d = -132. Calculate the remainder when d is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/15 + 2*d - 32\/15.\nAnswer: 2*(d - 1)*(d + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 3991, -3\/10, 1?\nAnswer: 3991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178291 is divided by 7142.\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29739.\nAnswer: 3, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -29 - (-145 + 131)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/9 - 32102*f\/9 + 894152\/3 = 0. What is f?\nAnswer: 84, 15967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -37441*h - 187166. Let l be q(-5). Let u be (-1)\/(-2 - 285\/(-143)). Calculate the greatest common divisor of u and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*6 - -4. Solve 437*o - 425*o - 48 = i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1583*s - 29726. Give n(-19).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 63*q + 328. Suppose -5*j = 5*m, 4*j + m + 20 = -j. Let z be i(j). Solve z*r = 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -375a7 + -1?\nAnswer: -375a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-62)\/(-8) + 1\/4. Let j = 9 - i. Let f be 0 + j\/(3\/6). Solve -p + 2*o - 11 = -4*p, p + f*o - 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -54. Which is the biggest value? (a) -2\/7 (b) y (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(832) - (sqrt(832) + 3)))**2*-1*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 1 (c) -24 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -105269, -210537, -315805, -421073, -526341, -631609?\n\"Answer: -105268*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -720 divided by -240\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = -q. Suppose -q*h + 8*h - 55 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -4\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022020 (base 5) to base 6.\nAnswer: 2013004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 - -104. Solve -5*j + s = -u - 2, -4*u = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -107 and -527393.\nAnswer: -527500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -10968, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide ((-18164)\/(-38))\/(-4*3\/(-894))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 2, r: 4, a: 1}. Give prob of picking 1 r and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272153.\nAnswer: 7, 17, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h - 36*h - 54*h - 64*h + 157*h.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siiascssyiya. What is prob of picking 2 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - n**2 - 2*n - 3. Let j = -10 - -8. List the prime factors of x(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2089 - 2276.2. Let u = l + 187. What is the smallest value in -1, -2\/11, u, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 5, k: 1, i: 3}. What is prob of sequence iz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 + 6 = -4*p, -12 = 3*p. Let o be (3 + 1 + y)*(-4)\/(-6). Let t = -0.79 - -0.49. Put t, 2, o in descending order.\nAnswer: 2, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 3 - 6 + v - v + v + v - 2*v + v + 3*v + (5 - 5 + 2)*(4*v - 5*v + 3*v) - v + 3*v - v + 2*v + 0*v - 3*v + v - 2*v + 3*v.\nAnswer: 10*v - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333515 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(539) + -2 + sqrt(539))*-4)**2.\nAnswer: -2240*sqrt(11) + 34896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w - 295 = -3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1961121, 1961124, 1961125, 1961124, 1961121, 1961116?\n\"Answer: -z**2 + 6*z + 1961116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 4*w\/3 - 4.\nAnswer: (w - 6)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s. Let u = -227\/6 - -38. Let n(k) be the second derivative of -u*k**3 + 3*k + 0*k**2 + 0. Give g(n(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(4\/7)*r)**(-5) assuming r is positive.\nAnswer: r**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 124419*n + 248826 = 0. What is n?\nAnswer: -41471, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1830 divided by 366\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414631701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7*t - 14207 - 25132. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w + 2*k, 20 = 3*w + 7*k - 2*k. Suppose 2*j - 3*f = 106, w = 4*j - j - 5*f - 158. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*q - 520 = 0, 4*a - 4*q - 334 = 94. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 4*u - 18. Let v be s(-7). Suppose w - 4 = 0, v*a - 80 - 26 = -4*w. Calculate the smallest common multiple of 24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137201451 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, -3\/7, -2\/21, 110, -7.8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 7*s = -1, -3*s + 7 = -4*q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5483292 at least as big as -5483293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*z + 6*f - 4*f, 2*f = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232518.99744 - 232443. Let q = o - 76. Round q to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/15, 1208, -1\/2 in descending order.\nAnswer: 1208, 2\/15, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27412 + 27411.7. Which is the biggest value? (a) r (b) -0.2 (c) -1 (d) 1 (e) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let q be l(-5). Suppose 5*c - 5*n + n = 2847, -2*c + 1150 = q*n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0d (base 16) in base 8?\nAnswer: -7015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 + (0 - (1 + -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 0.4, 2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*o**2*r**2*x**3 - o**2*r**2*x**2 - o**2*r*x**2 + 13*o*r**2*x**3 + 28*o*r + 11*r**2 wrt x.\nAnswer: 642*o**2*r**2 + 78*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5)*c)**(-16\/7))**4 assuming c is positive.\nAnswer: c**(192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -229276675.5 rounded to the nearest one million?\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((64 - 67) + 1 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-2)\/6 - -4. Find the second derivative of -12*i + k*i**3 - i**3 - i**3 wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 794 or 784?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 0 + (-12 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(180) + (sqrt(180) - (-1 + sqrt(180)))**2) + (sqrt(720) + 1)*3*1.\nAnswer: 4 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + q = 7398, 3*q + 4*q - 7386 = -4*w. What is the greatest common factor of w and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (17 - (8 + -19)) - 56\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136349*g**2*h**2 + 8070*g**2*h*t + 41*g*h**2 - 5*g*t - 3*h**2*t wrt t.\nAnswer: 8070*g**2*h - 5*g - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -295, -430, -565?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:11 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131461 and 3281.\nAnswer: -431323541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 71837692 - 71837692 + 5*m. Let u(x) = -2*x + 42. Calculate g(u(c)).\nAnswer: -10*c + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492316095 to the power of 1\/2, to the nearest integer?\nAnswer: 38631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49241 + -0.00759. Which is the second smallest value? (a) 4 (b) -3 (c) 3 (d) h (e) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*r - 71*r + 4*q + 42 = 0, -3*r + 40 = 4*q + 89 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 - 6*n - n**3 - 2*n - 2*n + n**2 - 2. Is x(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*b)*(-1 + 1 - b**2) + (b**2 + 2*b**2 - 4*b**2 + 55*b - 3*b**2 - 55*b + (-2*b + 0*b + 0*b)*(5*b - b - b))*(-6*b + 8*b + 15*b).\nAnswer: -173*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngnn when four letters picked without replacement from ggggnnnnnggnnngngnng.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 175, 286, 411, 550, 703, 870?\n\"Answer: 7*m**2 + 76*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9992*m**2 - 14545?\nAnswer: 19984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 + -257.921. Let x = -0.091 - s. What is x rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, m: 6, i: 2, n: 1, q: 4}. Give prob of sequence qmm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**4 + 7*i**3 - 265*i**2 + 52*i - 590426 wrt i.\nAnswer: -8*i**3 + 21*i**2 - 530*i + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*r + 1, 9*r - 4*r - 14 = 4*n. Suppose 4*w = r*w + 266. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)*s**(-1\/3)*((s**(2\/7)*s*s)\/s*s)**22)\/(s*s\/(s*s*s*s**(-5)*s*s*s)*s*s**7\/s*s*(s*s**(-1))\/(s*s**(2\/5)*s)) assuming s is positive.\nAnswer: s**(50282\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/20 + (-27)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1409 - 240*j - 101*j + 1409 as f*j + d and give f.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 - 2*o. Calculate n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*f + 199 - 399 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 - ((-314 - -130) + 210)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/56 - 5\/56. Let u = 0.1 + -4.1. Suppose 6*m = -19 + 1. Which is the nearest to z? (a) 0 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*(-40)\/50\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 8:11 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o + 14. Let c(p) = 18*p + 21. Let m(r) = 5*c(r) - 7*j(r). Give m(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from ffgfeggaepgfpefwaf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 9*a - 17. Let g be f(5). Sort -5, g, -2, 1 in increasing order.\nAnswer: -5, -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**3 + 5*u**2 - 5*u + 3. Let r(h) = 9*h**3 - 6*h**2 + 6*h - 4. Let i(s) = 5*r(s) + 6*y(s). What is the first derivative of i(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -123, -186, -265, -366?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950 + 951 - 223*b - 1901.\nAnswer: -223*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 783332*u**2 + 16*u. Let d be -4 - 12\/(2 + (-33)\/12). Let i be a(d). Round i to the nearest 1000000.\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7005 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 4*x**2 + 4*x + 4. Suppose 1 = 2*h - 1. Let q(i) = -i**3 - i**2 + 1 + i + 2*i**3 + 0*i**3. Determine h*t(f) - 4*q(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 8*v - 3. Let i be x(-6). What is the tens digit of 2 - (6\/(-3) + i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -49. Let i be (-20)\/h - 4*(-2)\/(-12). Which is the closest to i? (a) 0 (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/9)\/((-4)\/36). Let j be (x - -1)*(-8)\/6. What is the units digit of 116\/j*(1 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227998, -455958, -683868, -911728, -1139538, -1367298?\nAnswer: -1595008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*a = -176*a + 264. Let m(x) = 2*x**2 + 11*x + 107. What is the units digit of m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 1. Let g be x(5). Suppose 0 = 57*k - 150*k - 1635 - 318. Is g < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, y: 6}. What is prob of sequence yy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 11*m**3\/4 - 5*m**2\/4 - m\/2.\nAnswer: -m*(m - 2)*(m - 1)*(4*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 150485 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {g: 7, e: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/17)\/i)**(1\/64)\/(((i**(3\/4)*i)\/i)\/(i\/(i\/(i\/(i*i**(-7)\/i)))*i)))**(-45) assuming i is positive.\nAnswer: i**(-100755\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6 + 461944*w**5 + 4915209*w**2 wrt w?\nAnswer: -120*w**3 + 27716640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 1 - 1)*(2*a - a - 3*a) - a**3 + a**3 + 2*a**3 + 6*a**3 - 5*a**3 - 3*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*l - 38 = l, 0 = l - 4. What is the smallest common multiple of 22 and (o\/4)\/((-3)\/4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2551\/952 + -225\/238. What is the common denominator of y and (-2)\/(-5) - 273\/370?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-322)\/(-10) + (3504\/80 - 44).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -6351.3?\nAnswer: 44459.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {a: 2, t: 6, r: 4, u: 1, g: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4436 + 0.0136. Let f = 2.43000278 + a. Round f to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6*o = -4*o + 9, -r + 259*o - 258*o + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6982880 divided by -91880?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.151 and 32?\nAnswer: 31.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2100 + 2100 - 2*w**3 + 5*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -759, -1677, -2951, -4575, -6543, -8849, -11487?\nAnswer: -14451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423.89387 nanoseconds to weeks.\nAnswer: 0.000000000002354321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 + 22*n + 184. List the prime factors of o(-17).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 78380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5044 = 3*r + 2*r, -3*s = 3*r - 3039. Suppose 15*a - r = 10*a. Calculate the remainder when a is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82558 - 165115\/2. Factor b*y**2 + 0 + 5*y**3 + 0*y.\nAnswer: y**2*(10*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.239 * 0.14.\nAnswer: 0.03346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (10 + -5 - 24). Let m be 1755\/v + (-27)\/63. What is the hundreds digit of ((138\/(-9))\/(-2))\/((-4)\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82.94708l?\nAnswer: 82947.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5855766 is divided by 2114.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 193*k**2 - 5*k + 22. What are the prime factors of i(-7)?\nAnswer: 2, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**3 - 8*c + 7. Let d(q) = -q**3 + q**2 + 1. Let a(i) = -14*d(i) + 2*u(i). Suppose a(x) = 0. What is x?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612 and 1522962.\nAnswer: 3045924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1757 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13928, 110772, 373634, 885524, 1729452, 2988428, 4745462, 7083564?\nAnswer: 10085744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - -5930*(5\/(-2))\/(-5).\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-75))\/((-112)\/40). What is the nearest to 2\/11 in g, -0.29, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**3\/4 + 9*u**2\/4 - 27*u\/2 = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -0.3.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5 (c) -13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 1, -312083 = 7*i - 9*i + l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 896102, 1792204, 2688314, 3584432, 4480558?\nAnswer: 5376692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2109 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + sqrt(6)\/(sqrt(3) + sqrt(6)\/sqrt(2) - sqrt(3)).\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 7*t - 181. Which is smaller: 40 or t?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*m = -352*m - 54768 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68468?\nAnswer: 2, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 10. Let x(r) be the third derivative of -r**4\/24 - r**3\/2 + 21*r**2. Give -7*x(q) + 2*z(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15651159 or -15651154?\nAnswer: -15651154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/9)\/c))\/(c\/(c*(c*c\/((c\/((((c\/c**3*c)\/c)\/c)\/c))\/c))\/c)*c)*c\/((c*(c\/(c**(-4\/5)*c))\/c)\/c)*c*(c**1*c)\/c assuming c is positive.\nAnswer: c**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t\/((t\/((t\/(t*t**(-1\/3)*t*t))\/t*t))\/t))\/(t**1)**(-2\/69) assuming t is positive.\nAnswer: t**(-170\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -120*r + 58. Is v(-2) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:48 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127358653, -127358656, -127358659, -127358662?\n\"Answer: -3*n - 127358650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 719 + -457. Let d = -248 + y. Suppose -2*c + 103 = -b + 16, 0 = -3*c + 5*b + 141. What is the greatest common factor of c and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 - 1. Let u be m(-8). Let p = -59.68 - -63. Let a = p + 0.68. What is the nearest to -3 in -4, a, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/14 + 5952\/651.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = j - 684, -29*i + 28*i - 2060 = -3*j. Calculate the greatest common factor of 215 and j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-10)\/1000)\/((-20)\/100)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17950 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 4:49 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71705310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2242892 by 134.\nAnswer: 16738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91954 and 268272.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1699 + 61.\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 - 4*u**2 + 3*u**2 + 3*u**2 + 3*u**2 - 4*u**2 - 3 + 3 + 2*u**2 + (0*u + 0*u - u)*(-2*u + u - u) - 2*u - 2*u**2 + 2*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039147287 rounded to seven dps?\nAnswer: -0.0003915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 + 31*t + 14*t - 28*t + 27*t. Let c(b) = 11*b. Calculate s(c(n)).\nAnswer: 484*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8152370 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 24 = o. Let x = -5 - o. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d - -c25?\nAnswer: b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*v**2 + 120*v**2 + 70*v**2 to the form q*v + n + x*v**2 and give x.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -21. Suppose 96000 = u*n - 8*n. What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-14)*(-907)\/(-2721).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 365553.7 litres in millilitres?\nAnswer: 365553700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/20)\/((-18)\/(-30)). Let s = -0.4 - 0.6. Which is the nearest to -2\/7? (a) h (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 7*k + 7. Let c(y) = -4*y**3 - 2*y**2 + 1. Let l = 47 - 22. Let g = 26 - l. Let f be c(g). Give w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 4. Determine y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -113, -155 in descending order.\nAnswer: 19, 1, -113, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 9*a + 6. Let h be k(9). Let p(m) = -5*m**2 + h*m**2 + 3*m**2. Let t(z) = -2*z**2. Determine p(t(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 194524 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 30. Which is the nearest to 2\/5? (a) -4\/5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*u + 38*u = 687764. List the prime factors of u.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11947*l - 11969*l - 2*l**2 + l**3 + 2*l**2.\nAnswer: l**3 - 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 6*i - 6*i. Let h(n) = 2*n - 4. Let w be h(3). Let g(l) = -l + 7*l - w*l. Calculate g(q(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 53*n**2 - 19*n + 117. What is the hundreds digit of r(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 7 = 5*r, r - 2*q + 4*q = -0*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747327?\nAnswer: 1747327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298936 and 1576?\nAnswer: 58890392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 8*p - 13. Let j be z(4). Suppose 0 = -b + 2*b - j. Determine g so that 6 - 21*g - 3*g**4 - 3*g**4 + 3*g**5 - 36*g**b + 24*g**2 + 30*g**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-10))\/((3\/(-5))\/3). Let d(l) be the second derivative of -l**2 - 2\/3*l**3 - v*l + 0. Differentiate d(y) with respect to y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.87 + -0.43. Let n = i + 3.8. Suppose -u - 2 = -10. Which is the biggest value? (a) -1 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 374*c*h**3*u - 1655*c*h**3 - c*h + c*u + 2*h**3*u - 2*h**3 - 4*h**2 - 8*u - 4 wrt u.\nAnswer: 374*c*h**3 + c + 2*h**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/n**(-2\/5)*((n**1*n)\/n)**(19\/3) assuming n is positive.\nAnswer: n**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56445*x**4 - 3*x**3 + 644541*x wrt x.\nAnswer: 677340*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -3*u**3 + 4*u. Let n(d) = -81 + 31 + 50 + 8*d. Determine n(f(z)).\nAnswer: -144*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226682 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7277*o + 7277*o + 40*o**2.\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180519 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 1. Let w(x) = 326*x**2 + 5*x**3 + 2*x**3 + 3 - 323*x**2. What is 6*b(t) + 2*w(t)?\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/7 + 113\/28. Do -0.26 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b0a7 (base 12) to base 8.\nAnswer: -500677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 5*u**2 - 5 - 2*u**2 - 2*u + u**3. Suppose -5*o + 7 = -3. Suppose -3*y - r = o + 12, 3*y = -4*r - 20. Calculate s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 1. Let d(m) = 7*m**2 - 3*m - 4. Let p(i) = -6*a(i) - d(i). Let n be p(2). Are n and 5\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-8\/5)\/r)*r**(-14) assuming r is positive.\nAnswer: r**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1096 and 2?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45880817 to 3 decimal places.\nAnswer: -0.459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i + 5298 - 12376 = 4652. Calculate the highest common divisor of 782 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 47*n + 1467 = 0, 4991*n - 4990*n - 21 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 31. Suppose 300 = 4*c + 5*y, g*y - 136 = -3*c + 82. Calculate the highest common divisor of c and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))*-4)\/(sqrt(1008)*3 + -3*(sqrt(7) - sqrt(28) - sqrt(7))).\nAnswer: 24*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + sqrt(300)*2 + 0 + -4*(-2 + sqrt(300) + -5))**2.\nAnswer: -560*sqrt(3) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**3 + 6*g**2 - 6*g - 11. Let r(h) = -11*h**3 + 5*h**2 - 5*h - 12. Let i(f) = -6*r(f) + 5*s(f). Differentiate i(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766724?\nAnswer: 2, 7, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106412 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7279 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.979 - 0.021. What is the third biggest value in a, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 6960061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -1.4. Let q = 0.06 - 0.26. What is the third biggest value in v, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/9116496 and -91\/3714128?\nAnswer: 100281456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 24. Let h be c(5). Suppose h*v - 3 - 5 = 0. Suppose -4*r = -0*i - i - 77, 2*i + v = 0. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107.1 + -0.07799222.\nAnswer: 107.02200778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 284 = -1146. Suppose -v + 166 = -5*d, 4*v - 8*v = -3*d - k. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*y + 3*y = -88, 0 = 4*h - 5*y + 277. Let r = h + 93. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-8)\/1674) + (-23)\/92. Suppose 31*q - 30*q = i. Suppose -2*p - 49 = -q. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*v = 3, 1 = -q - v - 2. Let t(k) = -k**3 + 2*k**2 + 7*k + 8. What is the remainder when 155 is divided by t(q)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -44. Let a(m) = m**3 + 4*m**2 - m + 1. Let x be a(-4). Suppose 0 = -x*u + 47 + t. Calculate the remainder when 34 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - m - 83, -53448 = -24*r + 3*m - 53259 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/7 - 2*q**4 - 6*q**3\/7 + 46*q**2\/7 + 64*q\/7 + 24\/7 = 0. What is q?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -0*r. Let k = -2 + r. Let b = 733.9 - 734.2. What is the nearest to 0 in k, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19168155.000097 - -19168186. Let g = 31 - h. Round g to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:39 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 4*j**2 + 19*j**2.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sese when four letters picked without replacement from {s: 3, e: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21*n**2 - 295*n + 56. Let s(w) = w**2 - 1. Let p(i) = -f(i) + 4*s(i). Determine b, given that p(b) = 0.\nAnswer: -12, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3726612 divided by 4?\nAnswer: -931653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f + 0*f)*(-2*f + 4*f - 4*f) - f**2 + 0*f**2 + 2*f**2 + (-3 + 3 + 9*f)*(-67*f - 71*f + 137*f + 109) as s + o*f**2 + r*f and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (66\/55)\/(6\/140). Suppose 5*v + 2*q + q = 46, 2*q = 4*v - n. Let j(y) = 0*y - 5*y + 0*y + v*y. Let p(h) = 7*h. Give p(j(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-21) + (-33)\/(-7). Let m(b) be the first derivative of -b**2\/2 + 3*b - 3. Let u be m(-7). Solve -u + 0 = a*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028998468 to 5 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -7, -19, -35, -55, -79?\n\"Answer: -2*x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 84827686.3 to the nearest 1000000.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2)**2 + 1.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000067263 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023 + (4 + -8 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 4935 + 6*r - 16004 + 2*r**2 - r**3.\nAnswer: -r**3 + 2*r**2 + 2*r - 20939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500111 - -469652293.\nAnswer: 469152182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 + 113. Let s = 8 - 6. Suppose -2*k = -s*b - 16792, b = -k - g*k + 42004. Round k to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -13, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2193 (base 13) to base 12.\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from xxg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -116 + 83 - (15 - -1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -103?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 99 - -4 - (-1)\/(-1). Let p be (-4)\/(-18) + q\/27. Suppose -p*n - n = -25. Solve -4*k + 8*k - 16 = a, -n*a = 4*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2022 and 648.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 equal to -947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Suppose 4*r - r + 4*n - 19 = 0, 5*r + 3*n - 17 = 0. Let y(k) be the first derivative of -r + 0*k + 0*k**2 - 1\/3*k**3. Determine c(y(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*r + 3864, 0*r + r - h - 965 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 5. Suppose 5*g + 24 = g. Let h be w(g). What are the prime factors of -2*((-11)\/h - 3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 42*v**2 + 26*v + 42. Let p be t(-42). Let d = p - -1592. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -216. Let s = z - -161.24. Let b = 0.04 - s. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k*k)**39*(k\/k**(1\/7))\/(k\/k**(-5\/4)))**(3\/28) assuming k is positive.\nAnswer: k**(9711\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/282 and 107\/3419400.\nAnswer: 160711800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001001 + 10100111100010100110?\nAnswer: 10100111010001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-19 - -13) + (-226)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534287665.\nAnswer: 5, 2767, 110899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1518296831113 + 1518294119359.999564. Let r = u - -2711810. Let b = 57 - r. Round b to 5 dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.2, 1, 437\/585?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*x)*(-2*x + 2*x + x**3) - 64*x**4 - 1092*x**4 - 272*x**4.\nAnswer: -1431*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 8*n**2 + 9*n - 4. Let a be w(-8). Let s = -66 - a. Solve s = -6*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2344303 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -4*(-5 + (sqrt(833) - (sqrt(833) + 1))) + sqrt(833) + (sqrt(833) + 1 + sqrt(833) - sqrt(833)) + 3 + 2*1*sqrt(833))**2.\nAnswer: -84024 - 8736*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20326, -20326, -20324, -20320, -20314, -20306, -20296?\nAnswer: -20284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0, -2, 3 in descending order.\nAnswer: 4, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661, -823, -977, -1117, -1237, -1331, -1393?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 265010?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d. Let f(c) = -2*c + 1. Let l(p) = -5*f(p) - 2*k(p). Let h(y) = -3*y + 4. Determine -7*h(w) - 6*l(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(1\/39)*j**(-6)\/((((j\/j**(-2\/15))\/j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-1997\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/10)\/u**0)\/(u**22*u\/(u*u**(-1\/21))) assuming u is positive.\nAnswer: u**(-4609\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206 - 201. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -465 or 1\/2?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:08 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-130))\/(22\/(-4))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - 40\/(-96). What is the closest to 0.3 in -2, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001970873 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 - 2 = 0. Suppose 3*o = 5*z + 63, -5*z = o - w*z - 7. Solve -2*v - o = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*k + 7 - 3, 2*s = -4*k - 28. Let x(y) = -6*y + 41. Suppose -2*i - 5*w + 34 = 0, -i + 5*w + 1 = 2*i. Let m be x(i). Sort m, 5, s.\nAnswer: s, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g**2 - 60. Let n(a) = -8*a**2 - 36. Let q(j) = 5*n(j) - 3*s(j). Let l(z) = 36*z - 31*z + 36*z. Determine l(q(b)).\nAnswer: 82*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t**2 + 3. Suppose -7*n + 128 + 75 = 0. Let w(s) = 9*s + 7*s - n*s + 10*s. Determine w(z(u)).\nAnswer: -57*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/48*12\/3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 269100 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9aba (base 12) to base 15\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.9999997 - -34. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)\/(sqrt(6) + (sqrt(6) - (sqrt(18)\/(sqrt(12)\/sqrt(4) + sqrt(3)) + sqrt(6)))) + 5)*6.\nAnswer: -24*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 12912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 5*r**2 - 5*r - 5. Suppose 4*t - 19 + 3 = 0. Suppose 0 = -9*q - 23 - t. Is 11 a factor of d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4040 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31344 or 31346?\nAnswer: 31344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-4 + -1*sqrt(208)) - ((sqrt(208) + 0)*-3 - sqrt(208))*-1)**2.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 10064?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*f**3 + 2226869 - 4419*f**2 + 5500*f**3 - 2226869 wrt f.\nAnswer: 33552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/2 + 45501*k**2 - 29274240*k + 4692070400 = 0.\nAnswer: -91642, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253308153 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -4*sqrt(91)*1 - sqrt(91)) + sqrt(91)*2*-1)\/((sqrt(2016)*-2)\/sqrt(8)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-100)*-105 + (-2)\/8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + 427921\/78. Let d = h + -5505. Calculate the common denominator of d and -87\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127580326 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*6\/(-18) + 7\/(-3). Let l be u\/(-1) + (-5 - -6). Put -1, l, 5 in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 11152321 - 21557066 = 5259692. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.52385 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 - 3*v - 1. Give q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2399, -2408, -2423, -2444, -2471?\n\"Answer: -3*j**2 - 2396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j**3 - 2*j**2 + 2. Suppose -6*t + 4 = -3*t + 2*y, 2*t - 4*y = -24. Let z(k) = k**3 + k**2 - 1. What is t*z(w) - o(w)?\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1036 + -5?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2056 - 4128 - 8*s + 2073 + 5*s**2. Give w(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 1428?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-45))\/(-5 + (-915)\/(-175)) - (-8 + 2)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105201 (base 7) to base 11.\nAnswer: 12a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35615, 35606, 35583, 35546, 35495?\n\"Answer: -7*d**2 + 12*d + 35610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6741? (a) 2\/9 (b) 2\/5 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-37 - -26) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + 0. Let v(p) = -93 + x + 2*p + 46. Let f(r) = r**2 + 4*r - 3. Let h be f(-5). Let t(j) = -9*j + 1. What is h*t(u) + 10*v(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/160 - 597\/(-995).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 554*y**2 - 26829*y - 85500.\nAnswer: -(y - 500)*(y - 57)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1205946 divided by -602973.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**3 + 3*n - 8. Let k be x(-6). Let d = k + 13148\/5. Suppose 4*m - 41 = -3*u - 4, -m + 34 = 3*u. Is d bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/((-10)\/(-1)*-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3 - 9 - -5). Suppose 3*o + o - 5*k + 19 = u, 2*o + 14 = -2*k. Sort -1, -2, 5, o.\nAnswer: o, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 196*p**2 - 1761*p + 87. Determine y(88).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**18\/(u*u**(-6)\/u) assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Suppose -3*x = t - 8*x - 42, r*t = -x + 147. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 6:59 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -140 in descending order.\nAnswer: 26, 1, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 150. Suppose 5*p + 10 = u. Solve 3*f + 4*j + 12 + 13 = 0, -p*f - 4*j = 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 107*n**2 - n - 3. Let c be b(-3). What is the derivative of 977*u**3 - 2141*u**3 + 63 + 145 + c*u**3 wrt u?\nAnswer: -603*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**3*j**2 + 3490*c**3*j - 21501*c*j - 518872*j**2 wrt j?\nAnswer: 130*c**3 - 1037744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:02 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/18*1)\/((-2)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*u + 59*u - 7 - 7)*(-3*u + 3*u + 2*u)*(2 - 57*u - 2) in the form x*u**3 + b*u**2 + a + t*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 + 7\/14. Which is smaller: 5\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.53834 - 0.00814. Round t to three decimal places.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:13 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2232 or -2230?\nAnswer: -2230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 3*j - 5. Let h be m(-4). Does 2\/11 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3925979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 3*s + 9. Let v(c) = -15*c - 13 - 3*c**2 + 4*c + 7*c. What is 7*j(y) + 5*v(y)?\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(243) + -2)**2 + (1*-3*sqrt(243) - sqrt(243))**2 + (sqrt(243) + 0 + sqrt(243) + -4 - (3 + -2*sqrt(243)))**2.\nAnswer: -540*sqrt(3) + 8070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 - -262. Calculate the lowest common multiple of 28 and l.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {a: 5, k: 1, y: 11}?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, k: 2}. What is prob of picking 1 k and 3 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/73 (b) -2 (c) 295\/4 (d) 0.3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/10*(-40)\/16. Suppose 2*o = y - 0. Is o at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.24 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-690)\/(-175) + -4)\/(4\/40).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -14, -2, 0.3, -70, -5, 4\/7?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (2 + -1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -166066622*-0.4\nAnswer: 66426648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 + 6*j - 10. Let q be f(-7). Let t = q + 895. What are the prime factors of t?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -108, 5, -3, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 74*f**2 + 71*f - 180. Let g be o(-38). Solve 3*d - 6*y = -4*y - 10, -2*y = -g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 - 3*x - 1. Let y be l(-5). Let z(v) = -10*v - 8 - 3*v + y*v. Let u be z(8). Do 1\/37 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*v - 793 = 0, -797 = 6*a - 10*a - v. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 7*q)*(13*q**2 - 9*q**2 + 8*q**2).\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 251*w + 12292. Determine p(-109).\nAnswer: -3186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -175*i + 876. Let y be g(5). Put -42, y, -3, -12 in increasing order.\nAnswer: -42, -12, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - j. Let y(q) = 2*q**2 + 2*q. Give -4*r(l) - 5*y(l).\nAnswer: 2*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -1\/4 (c) 3 (d) -397\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (8 - (-7 - -8 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 - q - 8. Let b be s(-7). Let h(w) = -3*w**3 - w**2. Give h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 4*a - 1. Let k be o(11). Suppose -2*n + k = -4*i + 2*n, i + 2*n = -22. What is the units digit of -1 + -1 + 1 - i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17*i**2 - 29*i - 31. Let h(t) = -10*t**2 - 14*t - 16. Determine -5*h(r) + 3*m(r).\nAnswer: -r**2 - 17*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 2040807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 + 138. Let x be (2\/4)\/(10\/(-40)*2). Sort d, x, -4 in increasing order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:40 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Calculate k(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37 * 0.01\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157238 + -157230. Let w(i) = 2*i**2 + 8*i - 19. Let q(y) = -y**2 - 9*y + 18. Let v(n) = -3*q(n) - 2*w(n). Give v(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (3 + 10 - (4 - -24))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/56 and 3\/22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 16*x + 41. Let k be w(13). Suppose 0 = 2*o + f - 10, 0 = -o - 2*f - k*f + 19. Solve o*v - 9 = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111000010110001010110 (base 2) to base 11\nAnswer: 3456491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3784 and 19921384.\nAnswer: 219135224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**5 - 44304*p**4 - 652723788*p**3 - 3174751773946*p**2 + 340394034514173*p - 992591710445862 = 0.\nAnswer: -14803, 3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (70\/(-8))\/(-7). Let z = 107 - 102. Let r = -0.06 + -4.94. Which is the closest to g? (a) z (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose 3*m - m - 19 = a, -2*a + t = 0. Suppose g + 6 - 16 = -3*r, r - 3*g + 10 = 0. Calculate the lowest common multiple of m and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.77638 - -0.02362. Which is the third smallest value? (a) 1 (b) s (c) 3 (d) 0.3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/5 - 492*h - 2466\/5.\nAnswer: 6*(h - 411)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -42. Suppose -l*z + 100 = 6*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - 5\/((-25)\/130)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2717.954l to millilitres.\nAnswer: 2717954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2. Let c(w) be the first derivative of 5 + 0*w + 0*w**2 + 7\/3*w**3. What is d(c(a))?\nAnswer: 147*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - a**2 + 2 + ((-a - 1 + 1)*(1 - 1 + 1) + 6*a + 32*a + 4*a)*(-5*a + 2*a + 2*a)*(-3 - 2 + 2) in the form v + n*a + c*a**2 and give c.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1109566*c**3*t**6 - 4298*c**3*t**2 - 2*c*t**2 - 11*t**2 wrt t.\nAnswer: 133147920*c**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 36*i**2 + 6*i - 5. Let o(y) = 36*y**2 + 5*y - 4. What is 5*o(b) - 4*q(b)?\nAnswer: 36*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(2057))**2 + (sqrt(1088)*-2)**2).\nAnswer: -110*sqrt(17) + 32050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -13 - (-16 - (7 + (-13 - 1))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a - 3. Let v(r) = 11*r - 6. Let k(f) = 9*o(f) - 4*v(f). Let q be k(0). Does 2 divide 0 + (9\/(-1))\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -1\/4, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -1\/4 (c) 1\/71 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4 + p**3\/3 + 5. Find the third derivative of y(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(6\/(-2) - 1). Let i(x) be the third derivative of 0*x**3 + x**2 + r*x**4 + 0 + 0*x. Let s(p) = -2*p. What is i(s(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 22*f - 22)*(-6 + 1 + 4)*(-1382 + 1382 + 61*f) to g + b*f**2 + v*f and give b.\nAnswer: 1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 102 = 4*h, 69253*h - 69255*h + 106*g = -270 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**4\/18 - 4*s**3\/3 - 11*s**2\/3 - 8*s. Factor q(r).\nAnswer: -2*(r + 1)*(r + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947735465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.03 (b) 3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139129*d - 139243*d = -4332 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n. Let v(y) = -60*y**2 - 105*y + 1. Give i(v(k)).\nAnswer: -180*k**2 - 315*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -5309, 4, 1.\nAnswer: -5309, -48, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66136 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 547951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*u + 4, -5*f - 3 + 11 = -2*u. Suppose -5*d = -7*d - 554. Let m = 273 + d. Sort m, f, 1, 8 in ascending order.\nAnswer: m, 1, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d1 - 11?\nAnswer: -5e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y + 13 + 2*y - 5*y. Suppose -3*r + 2*z = 30, 5*r + 0*z - 5*z + 55 = 0. Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17604*m. Let s(w) = -2*w**2. What is z(s(n))?\nAnswer: -35208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 272*x - 256*x. Let y = 6 + 17. Solve 13 = -3*i + c + 4*c, 0 = x*i + 3*c - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from fdjjsjsjd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from ebquqeejbzb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36482?\nAnswer: 2, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 152\/16*(3 + -1). Let a(u) = -u**3 + 20*u**2 - 14*u - 14. Let v be a(c). What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0770026l?\nAnswer: 77.0026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 3*o + 2. Let l(z) = -5*z + 225. Let q(d) = 8*d - 52. Let n be q(12). Let g be l(n). Calculate k(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*r + 2*r = 12, -3*d + 5*r - 8 = 0. Suppose -3*p = d*a + 80 - 513, 2*p - 298 = -5*a. Suppose -p = -5*j - 29. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, c: 2, q: 2}. Give prob of picking 1 c, 1 d, and 2 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1715 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 8\/5*h**5 + 0*h**3 + 0*h**2 + 5 - 8*h + 0*h**4. Differentiate g(r) wrt r.\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1229 - 1017763.\nAnswer: -1018992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2885 and 61672645.\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (2\/(-1) + 4) - -5. What is the least common multiple of (m - 171\/27)*99 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21942 divided by 10971?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0.4, -13 in descending order.\nAnswer: 0.4, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*q + 5*d = 568*q - 10, -6 = -5*q + 3*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 5 = -10*z + 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - 143\/(-11) - -13393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*1090\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Let d(t) = 18*t**2 - 1. Calculate the remainder when ((-64)\/2)\/((-1)\/1) is divided by d(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 3*n + 0*n + (0 + 4 - 2)*(-6 + 6 + 42*n).\nAnswer: 85*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.42 (b) 5 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61027 + -15.9.\nAnswer: 61011.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3*x**2 + 3*x + 4. Let b be z(-3). Let a be (12\/(-15))\/(2\/b). Let d = a - -2. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(180))**2 + sqrt(85)\/(sqrt(5)*-2) - (sqrt(102) - (2*sqrt(102) + sqrt(102))*6 - sqrt(102))\/(sqrt(96)\/sqrt(4)).\nAnswer: 17\/36 + 17*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16283, -16257, -16207, -16115, -15963, -15733, -15407, -14967?\nAnswer: -14395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149912 - 0.06600554.\nAnswer: 149911.93399446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1097\nAnswer: 1\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from {z: 7, p: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**4 - p**3 - p**2 + 1. Let v(m) = 18*m**4 - 114*m**3 + 195*m**2 - 132*m + 27. Let o(t) = -3*i(t) + v(t). Factor o(q).\nAnswer: 3*(q - 2)**2*(q - 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17260884?\nAnswer: 2, 3, 181, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503492220.\nAnswer: 2, 3, 5, 7, 11, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 668300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1.94.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 54 = 83*f - 79*f, 0 = -5*z - 38*f + 184 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 274*v + 2255. Let y be o(-8). Put -7, -17, y in increasing order.\nAnswer: -17, -7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, -137, -578, -1197?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/7 + 8642*v - 120980\/7 = 0. What is v?\nAnswer: 2, 30245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*w - 5*r, -5*w = 2*r + 128 - 33. Let u = w - -26. Let j(t) = t**3 + 5*t**2 + 4*t + 2. Let v be j(-4). Put -3, u, v in decreasing order.\nAnswer: u, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31826 + 0?\nAnswer: 0.31826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1826997*d**3*x**3 + 18*d**3*x**2 + 43909*d**2*x**2 wrt x?\nAnswer: -10961982*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 - 2135\/12. Let o(v) be the second derivative of 1\/120*v**5 - 4*v + b*v**3 - 1\/24*v**4 - 1\/12*v**2 + 0. Determine a so that o(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 + 0*z**5 - 2*z**5 + (z**2 - z**2 + z**2)*(0*z**3 - 3*z**3 + 2*z**3) - z**5 + z - z + 2*z**5 + 0*z**5 - z**5.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (1\/4 + -1). Let i(a) = 24*a**2 - a. Let h be i(-1). Sort 4, h, p.\nAnswer: p, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/17 >= 12.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 - -254. Which is the fourth smallest value? (a) -4\/9 (b) -5 (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143\/3 - -70. What is the common denominator of k and 63\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 5765490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k + 10. Determine h(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m - m + 4*m + (-1 + 2*m + 1)*(-12 - 6 + 10))*(-2*m + 3 - 3)*(-2*m - 3*m + 4*m) to the form q*m**3 + v*m + n + c*m**2 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905*y**2 + 1902*y**2 + 1865*y**2 - 5670*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 6*b + 48. Suppose 5*w - 4*c + b = 4*w, 2*c - 10 = 2*w. Calculate the least common multiple of 10 and (-1 + -3)\/(w\/14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903*g = 1895*g - 3745*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5\/(c**(2\/9)*c) assuming c is positive.\nAnswer: c**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001491 rounded to 5 decimal places?\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkiikk. What is prob of sequence ikk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -433566 * -0.29.\nAnswer: 125734.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18068204 divided by 28.\nAnswer: -645293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - -13 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -76206, 3\/7, -14\/27?\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10497, -16647, -22797?\n\"Answer: -6150*p - 4347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3660 + -4371\/2440. Let j be (0 - 7906\/(-37156)) + -2. Let c = 2\/1327 + j. Calculate the common denominator of c and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 99*f**2 + 213*f + 1117. Determine u(-101).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1074 - 1065)*(-1)\/(-18)*(-152)\/2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 21*t + 146. Let m(d) = -d**2 + 11*d - 79. Let o(z) = 11*m(z) + 6*w(z). Calculate o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = z + 4*k, 3*k = 4*k + 2. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011100100 + 12?\nAnswer: 22011100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 2:20 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + m + 4378 = 4377, 5*m - 8 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -12 (c) -0.4 (d) 52 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/5, -3, -0.1.\nAnswer: -3, -2\/3, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {e: 1, b: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -1135*r**7\/21 + 1231*r**3\/3 + 632*r. What is the second derivative of g(a) wrt a?\nAnswer: -45400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 7. Suppose 5*s - 3 + k = -4*j, -2*s - 1 = j. Suppose -2*m - 2*d = m - 43, -d = -j*m + 46. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/5 - 72634*w\/5 + 580944\/5 = 0. What is w?\nAnswer: 8, 36309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 64*g**2 - 960*g + 56. Determine o(40).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 6, m: 1}. Give prob of picking 1 m, 1 u, and 1 d.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237.09 - 0.25.\nAnswer: 236.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3014 + 357 = -16*l + 9631. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-86)\/160 + -1 + 4\/(-10) and -13\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:54 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 55. Let n be b(17). Suppose -58 = -7*t + 103. Let d = t - n. Solve 4*h = 3*h - d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 29. What is the remainder when 88 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10498 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*v - 0*v - 20, 3*v + 12 = 5*f. Let n(r) = r**2 + 47. What is the remainder when n(f) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k**2 + 1056*k - 6304. Let a(n) = n**2 - 96*n + 573. Let r(s) = -32*a(s) - 3*f(s). Factor r(m).\nAnswer: 4*(m - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*o = -372*o + 33856175 - 9498217. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94082\/5 or 18816?\nAnswer: 18816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202002 + -33?\nAnswer: 201303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 33 = -9. Suppose 8*x - 82 = -q. Sort 5, x, -3 in decreasing order.\nAnswer: x, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 6, d: 4, b: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5962198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9875 - -9877. Which is the second biggest value? (a) -0.3 (b) -0.2 (c) i (d) -7\/2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194960 or -13?\nAnswer: 194960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 31*h + 59. Let f be t(7). Which is greater: f or 26?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 19 - 7)*(-3 - 1 + 1)*(-5*a**3 - 2*a + 2*a)*(0 + 1 - 3) in the form t + u*a**2 + d*a + b*a**3 and give b.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 < 975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6240 and 468?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 9*i + 8. Let r be d(-7). Let y be r\/12 + 18\/4. Solve 1 = 5*u - y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from qdgabgi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 364\/5. What is the nearest to y in 2\/21, 0.5, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 8. Let b(k) = 9 - 15 - k + 9. Give 8*b(l) + 3*d(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 3*j - 12. Let k be z(5). Which is bigger: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 + s + 6. Let o be x(-6). Suppose o = c - 0*c - r - 1, -1 = -r. Solve -1 + 17 = -3*y - 2*n, 5*n = 3*y + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8033.154t to micrograms.\nAnswer: 8033154000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.0236.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w = -84*w + 1260. Let b = w - -796. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 146794, 293590, 440386?\n\"Answer: 146796*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 86177378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:19 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Let j be (-48)\/32*g\/(-3). What is the second derivative of j*q - 92*q**4 + 50*q**4 + 50*q**4 wrt q?\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748\/71 less than or equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91914 - 16.5.\nAnswer: -91930.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u - 1. Let v(z) = -78*z**2 + 117*z + 117. Let b(f) = -f**3 - 77*f**2 - 874*f - 5. Let a be b(-14). Give a*x(w) - v(w).\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1)*(-4)\/1. Suppose o*u = 3*u + 20. Suppose 0*q + u*q - 64 = 0. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*l + 105*n = -0*l - 211 - 214, 0 = -5*n - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/488187 and -85\/260442.\nAnswer: 672721686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010001010101 (base 2) to base 6.\nAnswer: -553421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -33.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + -2 - -11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r = -10*r + 212. Solve -3*j + 27 = -14*d + 17*d, r*d = j + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-4 + 384\/(-30))\/(3\/(-4420))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -4. Let q = 0.43 + -0.45. Is q smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163378 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -83.99. Let d = -0.01 + r. Let t = 3 - 3.4. What is the second smallest value in -0.2, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 185, -238, -941, -1924, -3187, -4730?\n\"Answer: -140*a**2 - 3*a + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -126. Find the third derivative of 4*a**5 + 9*a**r + 117*a**4 - 6*a**5 - 117*a**4 + 22*a**2 - 2 wrt a.\nAnswer: -120*a**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/12 + (-1210)\/45*3. Let s = l + 180. Let r = s - 61. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -1) + 864\/243. What is the nearest to -1\/4 in -0.071, y, 1.8, 0.5?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11664 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b - 14. Let i be c(-8). Suppose 4*j - 14 = i*t, -t - 4*t + 5 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602538856 is divided by 261.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 49*t - 86*t - 25*t.\nAnswer: -62*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 722747 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: Solve 72*k + 1949 = 204*k - 691 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -59, 3, 111, 277, 513, 831, 1243?\n\"Answer: 2*o**3 + 5*o**2 - o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293680*s**4 - 7*s**2 + 810*s - 1.\nAnswer: -7048320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 - 129*m**2\/5 - 786*m\/5 - 216.\nAnswer: -3*(m + 2)*(m + 5)*(m + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -661963 divided by -23\nAnswer: 28781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3*0 + -2. Suppose 8*g = -20*g - 112. Sort 4, z, g in descending order.\nAnswer: 4, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 + 7748*q**3\/3 + 14734246*q**2\/3 - 353347540*q + 6239448075.\nAnswer: (q - 35)**2*(q + 3909)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 2, -2, -299 in decreasing order.\nAnswer: 2, -2, -36, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233337559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/29680 and -97\/25440?\nAnswer: 178080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/3*(-2 + 5). What are the prime factors of -41*(10\/4)\/((-7)\/m)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + 8. Let s = 92 + -87. Suppose -4*a = -y - q, 30 + s = 3*a + 4*y. What is the remainder when 35 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18411 - 32787. Let n = 14298.9953 + u. Let v = -77 - n. What is v rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r - 37*r - 5*r + 2 - 2*r - 2 - 4*r + 4*r - r - 2*r + r - r + (-1 + 0 + 3)*(-r - 4 + 4))*(4*r**2 + r**2 - 2*r**2)*(-r + 3*r + 0*r).\nAnswer: -378*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -21. Let c = -2\/6145 + 436301\/18435. Let u = c + -24. What is the nearest to u in 0.1, -0.05, r?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 2*r - 3. Suppose 0 = x + 5*z - 19, 3*x - z + 4*z - 21 = 0. Let n(k) = 2*k**2 + 3*k - 2. Let o(a) = x*n(a) - 3*f(a). Give o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from dmlnllnlllmmmmlldln?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*x + 19*x - 634*x**2 - 4 - 7*x + 2 to f*x**2 + u*x + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11480, -11491, -11516, -11561, -11632, -11735?\n\"Answer: -w**3 - w**2 - w - 11477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 48*s**5\/5 - 78*s**4 + 129*s**3 - 69*s**2 + 15*s - 535. Factor v(p).\nAnswer: 3*(p - 5)*(p - 1)*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2503393 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: Is 30 a factor of 1227570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4733100 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50511\/9268 + 1\/23170. What is the common denominator of ((-4)\/16)\/(5\/(-6)) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2382*z - 4 + 1570*z - 1030*z)*(1 + 0 + 1) to the form y*z + d and give y.\nAnswer: 5844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(704) + -1) + (sqrt(704) + 0)*5 + (sqrt(704) - sqrt(704)*-1*6)*-2 + 2)**2*-3.\nAnswer: -76035 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 - 21*m - 24. What is the units digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011548501 rounded to seven dps?\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:06 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzwwczcccz. Give prob of sequence ww.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:08 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 - 177*h + 1980 = 0. What is h?\nAnswer: 15, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 85608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 57137968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 - 2*o - 5. Calculate r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 103*u**2. Let p(q) = 18*q - 10. Let y(w) = -2*w + 1. Let v(g) = p(g) + 10*y(g). Give v(c(s)).\nAnswer: -206*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**2 + 6*b - 4. Let j be m(4). Let h be (-10)\/3*j\/10. Let z = h - -13. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/2279 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -91. Suppose 0 = 37*s + 27*s - c*s. Solve s = -4*y - y + 15, 12 = -p + 5*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 18*k - 23*k - 35, -s + k = -9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41302214 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (275*t - 544*t + 277*t - 5)*(4*t + 2*t - 2*t)*(-3 + 3 + 2)*(7 - 7 + 11) in the form f + i*t**2 + c*t and give c.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 5, w: 3, f: 3}. Give prob of sequence tzwz.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - h**4)*(1 + 2 - 1)*(76 + 107 - 250)*(19 + 4*h - 19).\nAnswer: 536*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Solve 5 = -o*u - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675 - 36*m**2 - 1356 + 195*m**2 - 4*m**2 + 679.\nAnswer: 155*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2 + 5) + -1. Suppose -5*r = -y*r - 70. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -0.4, -46, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005301046824 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*l - 24*l = -22*l + 16975. Solve 61*n + l = 36*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 3. Let q be z(0). Suppose 2*d + 0*j + q*j + 17 = 0, d + 2*j + 11 = 0. Suppose 3*f - 7 = -5*s - 45, -4*f = 5*s + 44. Sort 2, f, d.\nAnswer: f, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/3 (b) 2 (c) 17 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -7)*(-2)\/(-4). Let x = r + 4. Solve -2*i + x = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 8 + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 18*b = 17*b + 1, 4*x - b - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (5 - 61)) + -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = t - 114. What is the remainder when 75 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58055*d - 57915*d + 115966*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:30 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -79, -38, 41, 170?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let u(r) = r**3 - 2*r**2 - r - 1. Let f(v) = -6*v**3 + 3*v**2 + 2*v + 2. Let c(m) = -f(m) - 2*u(m). Give c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101100 - 11?\nAnswer: -101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 7*t + 496. Let o be 2 + -5 + (2 - 40). Let i = t + o. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v + 2. Let d be l(3). Let c be 492\/10 + 1\/(-5). Let k = c + d. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 162. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 7*p**2 + 5*p + 3. Let c be (18 + -24)*(-2)\/2. Let i = -6 + c. Let t be i - 0 - (3 + -1 + 1). Determine l(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + (-12)\/5)\/((-13)\/5 - -3). Solve -3*q - 5*r + 12 = 0, -6*q + 5*q + d = 3*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 166*q**4\/15 + 21802*q**3\/3 + 108844*q**2\/15 = 0. What is q?\nAnswer: -54422\/83, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 + 13*1. Suppose 0*n + 5*v - 7 = -n, 3*v = -5*n + m. Suppose 4*t + 17 = 3*y, -4*t + 5*y - 17 = 14. Solve -2*h = -4, n*l - h - t = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020520 - 510275 - k - 510245.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*l - 5*s, 9*s - 5*s = 5*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 22*j + 1228. Determine i(-58).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - 2) + (-7643 - -7665).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -352a4 (base 14) in base 4?\nAnswer: -133213200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 83*h**2 + 23*h + 129. What is the thousands digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 157*k + 6114. Determine s(-38).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 749940617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4445211?\nAnswer: 3, 17, 43, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u*u**(-5))\/u)*u**6*(u\/u**(-6\/7)*u)\/(u\/(u\/u**(6\/5)*u)*u) assuming u is positive.\nAnswer: u**(478\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1335.5?\nAnswer: 1335.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 3*o**3 + o**3 - 8*o**3 + 9*o**3 - 4*o**3 + (-2*o - 2 + 2)*(9*o**2 - 25*o**2 + 20*o**2) to t*o**2 + h*o + a + p*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -357.3 - 1200556757?\nAnswer: -1200557114.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240) + sqrt(15))\/(sqrt(80)*1))**2 + -2.\nAnswer: 43\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 16\/105*t**7 + 41\/30*t**5 - 7*t - 2*t**2 + 0*t**3 + 22\/15*t**6 + 5\/12*t**4 + 0. Factor a(v).\nAnswer: 2*v*(v + 5)*(4*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 41 = 3*h, -3*h - 4*i + 38 = -2*i. Suppose h = 6*s - 2*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/11 + (-6 - -5). Let g(u) = u + 4. Let j be g(-3). Let t be 0*(j + (-2)\/4). Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s + 10. Let d(t) = -t - 3 + 0 + s. Suppose 0*z + 20 = 4*z. Determine d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*f = 2517, 0 = 3*m - 4*f + 1495 - 5236. Let q = -837 + m. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25\/2, -2\/17, 1, -3?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996311225 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460186210?\nAnswer: 2, 5, 11, 29, 144259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 1 - 4*l + l - 694*l + 679*l - 336*l + (-2 - 4 + 4)*(0 - l + 0).\nAnswer: -348*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71492, 72009, 73438, 76235, 80856, 87757?\nAnswer: 97394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3.1, 5, 3, 299?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6194418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 + -77 + 28)\/(0 - (2 - -1) - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 less than or equal to 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(b + 4*b + 0*b)*(-b + 3*b + 6*b).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505487, 1011089, 1516691?\nAnswer: 2022293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5*j + 6*j + 7)*(0 - 2 + 0) - 5*j + 2*j + 4*j + j + 0*j - 3*j + (4*j + 2*j - 5*j)*(-3 + 4 - 3) - 1 - 2*j + 1 - 5 + j + 5.\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190945.2 - -190980.19806. Let a = x + -35. What is a rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25940 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(28) + -1*sqrt(880))\/(sqrt(405) + sqrt(405) + 1*sqrt(405)*1).\nAnswer: -7*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n + 46*n - 327 = 4*f - 319, -2*n = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 7*t + 6. Let f(c) be the first derivative of -24*c - t*c**5 + 6*c - 5 + 5*c. Differentiate f(r) with respect to r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 42, -2.4, 0.3, -0.2, 0 in descending order.\nAnswer: 42, 0.3, 0, -0.2, -0.7, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**2*b*b))\/b**(-11))**(-4\/13))**(2\/23) assuming b is positive.\nAnswer: b**(-64\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*7 + (-3696)\/(-7). Let w = h + -519. Which is bigger: w or 11\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.415 - 0.445. Let u = j + -2. Which is the closest to 0? (a) 0.2 (b) u (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 425 and 0.0044143?\nAnswer: 1.8760775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*b**3*h**3 + 249*b**3 + 2*b*h**4 with respect to h.\nAnswer: -177*b**3*h**2 + 8*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726823, 1453646, 2180467, 2907286, 3634103?\nAnswer: 4360918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n - 2. Let c be l(2). Let k(g) = g**3 - 19*g**2 + g + 11. Is k(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v. Let w(h) = 13*h - 3. Let p(b) = -6*b + 1. Let j(o) = -5*p(o) - 2*w(o). What is j(c) + 2*r(c)?\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 3*f**2 - 3*f**2)*(4*f + f - 4*f + (-3 - 1 + 6)*(-4 - f + 4) - 1 - 2*f + 1 + 23*f + 4*f + 58*f).\nAnswer: 164*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 42\/(-12) + 147\/(-6). Let m(g) = -35*g + 116. What is the units digit of m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5908.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = -2*w. Let a = 15 - w. Suppose -3*k - 120 = -a*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 1. Let m = 35.1 + f. Let x = -9 + 13. Which is the second smallest value? (a) 1\/5 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 357\/9*(-13 - -16). Suppose 120*x = l*x + 1111. List the prime factors of x.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 50. Let z = 11 - g. Let q = 592\/7 - 85. What is the third biggest value in q, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*m**3 - 264*m**3 + 374*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -155, -133, -111?\n\"Answer: 22*c - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -7*j**6\/660 - 37*j**5\/165 - 10*j**4\/33 + 1831*j**2. Factor i(s).\nAnswer: -2*s*(s + 10)*(7*s + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:02 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, 0.2, -0.13, 0.5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 - 18*d + 3. Let w(y) = 17*y**2 + 36*y - 7. Determine 7*g(h) + 3*w(h).\nAnswer: -5*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 71*r**3 - 68*r**3 - r. Let v(o) = -2*o**3 + 3*o. What is 5*v(m) + 3*y(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1 - -2) - -1. Suppose -s*m - 3*m + 65 = 0. Suppose 0 = 3*q - m - 2. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.3, 6, -16.324, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:00 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286972 and 3324.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 38*u**2 - 74*u - 159. Let v be g(-37). Let a = v + -2257. List the prime factors of a.\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b - 3. Let y = -203 + 200. What is v(y)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1 + sqrt(1088)) - sqrt(1088))*-3)**2.\nAnswer: 288*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, -5, -143.\nAnswer: -143, -8, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -37. Suppose -3*y - 2*x + 64 = -3*x, x = y - t. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 779388 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-6976.\nAnswer: -2092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 915\/7 + -131. What is the closest to 6 in -3, 2\/25, q?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose 12*y = 13*y - 11. Solve -4*n - 2*o - y = -1, -1 = 2*n + i*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18262 - 3195389\nAnswer: -3213651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 597 in 3, 0.03, -3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72829000 rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 5*k - 4. Let i be x(-8). Let c be 1\/(-4) + 5\/i. Are 1\/37 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))\/a)**3\/(a**(-7)\/(a**(-2)\/a)) assuming a is positive.\nAnswer: a**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*x + 55*x - 183*x)*(10*x - 47 + x**2 + 47) to i*x**3 + d*x**2 + h*x + z and give d.\nAnswer: -1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*o - 110 = 3*o, -2*o = 2*f - 28. Factor -f*t**3 + 2*t + 17*t**3 + t**4 - t**2 - t.\nAnswer: t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 13*r**4\/12 + r**3\/6 - 3*r**2 + 8*r - 69. Let l(j) be the second derivative of d(j). Let t(w) = w. Calculate t(l(g)).\nAnswer: 26*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 7*y = -3, 0 = 3*a + 3*y - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-898 + 898 - 201*o**2)*(5*o - 5*o + 3*o).\nAnswer: -603*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12457.00192 + 12448. Let y = -250 - -259. Let i = y + r. What is i rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 161*p - 19388*p**2 + 96*p + 63*p.\nAnswer: -19388*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - (3 - 12 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/51*(68\/(-32) + 1). Let y be (-2)\/(-3) - (-16)\/(-6). Let z = y - -3. What is the nearest to z in -2\/11, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 7, v: 1}. Give prob of sequence ggs.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 2*y**5 - y**5 + (5*y**3 - 6*y**3 + 0*y**3)*(-y**2 + 4*y**2 - 2*y**2 - 3*y**2 + 8*y**2 + 10*y**2 + (2*y**2 - 2*y + 2*y)*(-1 + 1 + 1)).\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 + 1 = 0. Suppose 5*q - 46*j + 35*j - 89 = 0, 3*j = -12. Solve -13 = 2*v + v + 4*f, 3*v + q = -w*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 - -28. Suppose -4*c = -a + 49. Let f be 3*(-28)\/(-6) - 0. What is the highest common factor of f and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111585571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 631643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/(3\/(-9)). Let v = 0.1 - -0.3. What is the closest to 0 in u, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307.6 - 308. Which is the second biggest value? (a) 0 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2253?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 137. Calculate u(-40).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10*g - 14*g + 10 = 0, w - 10 = -g. Suppose 125 = w*m - 5*v, -m - 3*v = -12 - 9. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 197842 = -67*o. List the prime factors of o.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 3*y**2 + 2*y - 4. Let d be z(4). Let o = 101 - d. Let l = 53 + -26. Calculate the greatest common divisor of o and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065069880?\nAnswer: 2, 5, 7, 149, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a101 + 15?\nAnswer: 10a116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u - 3\/2*u**2 - 1. Let r(h) = 2*h. Calculate z(r(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(931) + 1)*-1 - (5 + -2 + sqrt(931))) + 2.\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**5\/5 - 3*a**4 - a**3\/3 + 193*a - 423. What is the third derivative of i(z) wrt z?\nAnswer: -24*z - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-27))\/(3\/27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 69*f - 43*f)*(-f**3 + 4*f**3 - f**3)*(f + f - 3*f).\nAnswer: 208*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 81*k**2 + 34*k - 246. Is y(12) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let s = -1222\/305 - 24\/61. Let w = -71\/15 - s. Put w, -0.1, f in descending order.\nAnswer: f, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tstpxvytsvts. Give prob of picking 2 v and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 1196\/27?\nAnswer: 1196\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 7. Let s = 40 - f. Let u(h) = s - h - 7 - 4. Determine u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7884317 (base 9) to base 16\nAnswer: -40d24e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071155?\nAnswer: 5, 283, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 0*l**3 - 2*l**4 - 1 + 32*l**2 + 10*l - 31*l**2 to the form y*l**3 + o + m*l + w*l**4 + f*l**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**2 - 9*u + 360 with respect to u.\nAnswer: 6*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 + -39?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-2646)*((-30)\/3 + 1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33033814 is divided by 227819.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16115 + 30140 = -255*n for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 640\/48*(-2610)\/1392?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16661 - 16536. What is the second smallest value in 0.2, l, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 4. Let k = -3 + 5. Let g be m(k). Suppose -193 = -g*a + 115. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9 - 18 = 0. Solve -3*m + 16 = m, t*m - 12 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from lvnlv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -523 from -1487.803.\nAnswer: -964.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 4, f: 2}. Give prob of sequence ss.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -d + 14, 2*m + 4 = 4*m + 2*d. Let c(s) = 19*s + 3. Let b be c(-3). Let i = m - b. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 8*o - 8. Let i(t) = 6*t**2 - 9*t - 9. Let j(f) = -8*i(f) + 9*u(f). Let c(n) = -n. Let b be c(-7). Let v(z) = 0 - b*z**2 + 0. Give v(j(d)).\nAnswer: -63*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.2, 910.2, 0.06 in decreasing order.\nAnswer: 910.2, 0.06, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133440592 is divided by 403?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j**4*n + 6*j**3 + j*n - 2*n + 2721 with respect to j.\nAnswer: 32*j**3*n + 18*j**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, m: 2, d: 8, b: 5}. What is prob of picking 1 k and 1 b?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*z + 7130 - 7422, 4*o = 3*z + 284. Solve -65*i + o*i = -12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-70)*77\/33. Let h be 44\/3 + 4\/(-6). Suppose 2*f + 2*f - 25 = 3*j, -2*j = 5*f - h. Which is the closest to -1? (a) f (b) 2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgg when three letters picked without replacement from zgwwghwhgggg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5103 + -3276. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from wlw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 9. Let d(l) = -2*l**2 - 10. Let u(s) = 2*d(s) - 3*o(s). What is u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(832) - (sqrt(832) + (sqrt(832)*-1)**2)*1 - (0 + ((-3*sqrt(143)*6)\/sqrt(11))**2)) + -1.\nAnswer: -5048 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -43, -113, -213?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1388)\/(-6))\/(60\/(-484317)). Let v = m - -1869799. Let c = -2490 + v. Find the common denominator of 75\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75901\/19 - 3995. Suppose -2*g + 8 = 4. Suppose -g*m + 4*m = 0. Which is greater: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s + 2. Let y be j(-3). Suppose n - y = -3*n. Solve n*l + 1 = -3*u, -5*u - 4*l - 6 = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 116990683\nAnswer: 116990678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (7 - 4) + 3 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 5*b**2 - 12*b - 1. Let p(y) = y**2 + 6*y - 3. Let d be p(-6). Let x be c(d). What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 449 + 484. Which is the biggest value? (a) f (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1666, 6672, 15016, 26698?\nAnswer: 41718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 864761, 1729280, 2593799, 3458318, 4322837?\nAnswer: 5187356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + g - 1. Let y be l(1). Let u be ((-1)\/(-3))\/(2\/6). List the prime factors of (12\/y)\/(u + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 3. Let y be 11*(u\/1 + 2). Let n = y - 23. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 1128647 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 6*f - 5*f)*(-571 + 8616 - 2602 - 1236 + 10449) as q*f + g and give q.\nAnswer: -14656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*o - 173*o + 1536 + 1894 - 918 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*o**3 - 591*o**3 - 935*o**3 + 78*o**3.\nAnswer: -1157*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 17 + 2 - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 18*f - 94*f to the form d + x*f and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + b**2 + b. Let r be w(0). Suppose 16 = 3*m - 7*m. Sort -1, m, r in decreasing order.\nAnswer: r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**2*s**2 - 82*g**2 + 38*g*s**2 wrt s.\nAnswer: 10*g**2*s + 76*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17673945?\nAnswer: 3, 5, 1178263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 35 + 10 = 0. Let x be -1*1 - d - (-21 + 22). Suppose 5*j = 5*h + 890, j + x*h - 172 = 2*h. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*o**2 - 4 - 33*o**2 - 80*o**2 + 18.\nAnswer: -195*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6588321*w**2 + 73027618*w?\nAnswer: -13176642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(12\/15*255\/136). Suppose -8*z - 760 = g*z. Is z greater than -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1021221?\nAnswer: -1021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let o = 37 - 35. Solve -5*z + 4*w + 16 = u, -o*z + 0 = -w - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 599*k + 12. Is z(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19555 + -19553. Factor 6\/11*r**q + 0 + 10\/11*r**3 + 0*r - 2\/11*r**5 + 2\/11*r**4.\nAnswer: -2*r**2*(r - 3)*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 2*q + 1. Let s(b) = b**2 - b + 1. Let u(i) = 5*i**2 + 11*i - 7. Let j(c) = -s(c) - u(c). Give 3*j(w) - 16*x(w).\nAnswer: -2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:17 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -0.2, -1\/6, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3247 and 127415?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32798 and 196788?\nAnswer: 196788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 3*d - 3*d)*(2*d**3 - d**3 - 2*d**3) + (-3 + 3 + 2*d)*(5*d**2 - 9*d**3 - 5*d**2) + (-6*d**3 + 3*d**3 - 3*d**3)*(-4*d + d + 2*d).\nAnswer: -11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563823.\nAnswer: 109, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3846.34 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26312.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, 5, -3, 0.1, 2\/27 in descending order.\nAnswer: 21, 5, 0.1, 2\/27, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (-1 - (7 + -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152956 is divided by 50842.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.2999078 + -15.3. What is g rounded to six dps?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47212099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 20*k**2 - 17*k + 13. Let o be u(9). Calculate the highest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-875))\/((114\/(-84))\/19).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 367, 277, 113, -143, -509, -1003, -1643?\nAnswer: -2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let h(o) be the first derivative of 13*o**2\/2 - 5*o - 15. Let f(u) = -20*u + 8. Let b(x) = -5*f(x) - 8*h(x). Calculate n(b(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w - 20 = 0. Let m = -51.99 + 54. Let p = m + -0.01. Which is the biggest value? (a) w (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0)*(9\/(-6) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 424*11\/(-110)*-5. What is the highest common divisor of k and 1113?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.06 + 3. Let l = -2.56 - y. Let k = l - -2.5019. Round k to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/35 and 407\/(-308) + (-4)\/(-1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q, 4*k - 2*k = -2*q + 30. Let a = -4 + k. Solve 1 = -2*j - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 155. What is the nearest to p in 0.3, 3, 0.15, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o - 43. Let v(z) = -33*z + 173. Let t(s) = 9*p(s) + 2*v(s). What is the units digit of t(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -0.979867?\nAnswer: -28.416143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9489 * -0.05368.\nAnswer: 509.36952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - 10)*(2 + -2). Sort 1\/3, -104, g, 1 in ascending order.\nAnswer: -104, g, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/((10\/249)\/(716\/(-537)))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90012 and 3120?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6*y**4 - 3*y**3 + 3*y**4 + 4 in the form b*y**2 + k*y**3 + h*y**4 + z*y + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pazaassnznhazza. What is prob of picking 1 h, 1 p, and 2 z?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768 - 390 + 4*y**3 - 378.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8170090823 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137561*y + 3*y**2 + 34777*y + 34260*y + 34262*y + y**2 + 34262*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*v = 2*i - 150, 0 = 5*i - 3*v - 154. Suppose -4*a + 5*k + 318 = -371, -3*k = -9. What is the common denominator of 23\/20 and (i\/a)\/((-4)\/43)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 418, 914, 1456, 2044, 2678?\n\"Answer: 23*y**2 + 427*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/3*6\/4. Suppose -20 = 6*v - t*v. Suppose q - 5*a + 1 = -8, -5*q + 4*a + 39 = 0. Calculate the remainder when v is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177628 and 726.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, -4, 0.07, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.5 (c) 2\/13 (d) -0.04 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11)*2 + -2 - (4 + 2*sqrt(11)))**2 - ((sqrt(297)*-1)\/sqrt(9))\/(sqrt(135)\/sqrt(5)).\nAnswer: -144 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(80)\/sqrt(4) - sqrt(20)) + (3*sqrt(980) - sqrt(980)))\/((-3*sqrt(72)\/sqrt(2))\/(sqrt(63)\/(sqrt(7) - sqrt(63)))).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45772 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1262 + 2545. Suppose h = 5*o - r + 5*r, r = 3*o - 763. What are the prime factors of o?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*l - 35*l - 378 - 126 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/43, -3\/2, -10, 4?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/11 + 315\/143. Let w = 154\/299 - d. Is -1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + 90\/4. Let r = -21 + p. Determine i so that 0 + 0*i**r + 0*i + 2\/9*i**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 10731\/756)\/((-14)\/6) - 0\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394800723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -17. Let k(q) = q**3 - 2*q**2 + 2*q. Let h(g) = 8*g**3 - 17*g**2 + 17*g. Calculate n*h(u) - 51*k(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12471+409094321\nAnswer: 409081850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2162454 and -89\/2780298?\nAnswer: 19462086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 404, 4, 3, 2 in ascending order.\nAnswer: -5, -3, 2, 3, 4, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 7?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1636.08 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1, -0.9, -9\/14, 123, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 510669254 and 66626?\nAnswer: 9518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*w + (-4*w - w + 4*w)*(-2 + 5 - 5) - w + 0 + 0 - 3*w + 3*w - 4*w)*(11*w + 9*w**2 - 11*w) in the form a*w**3 + z*w + h + b*w**2 and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13 - 3) + 17)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 371535.8632 to the nearest one thousand.\nAnswer: 372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 - 148 - (-4 - (0 - -5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12262 divided by 2.\nAnswer: 6131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(63)*3))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 p when four letters picked without replacement from {b: 2, d: 5, e: 3, p: 2, j: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26162903, 26162929, 26162955, 26162981, 26163007?\n\"Answer: 26*k + 26162877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000360259419 to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8547692 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52989443719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1030 and 15537241?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.034+375.9\nAnswer: 375.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 6*o - 5. Let g(y) = y**2 + 5*y + 5. Give -6*g(t) - 5*u(t).\nAnswer: -t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a42e + 1e?\nAnswer: 6a44d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 12 - 45. What is the remainder when 43 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16227*t**3 + 36*t**2 + 222981905*t - 1.\nAnswer: -97362*t + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 23402109 = -11*k + 13*k, 4*y + 3*k + 18721678 = 0. Let b = y + -7549579. Round b to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.764 and 49.\nAnswer: -86.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5213*c**2*n**2 - 3*c*n**3 + 10276*n**3 - 2*n**2 wrt c.\nAnswer: -10426*c*n**2 - 3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1222 = 3*o + 3*d, 0 = 3*o + 2*d - 917. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {z: 4, i: 4, f: 1, b: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 12*p**2 + 22*p + 10. Let r be l(-8). Let o be 10 - (r\/6 - 7). Solve 2 + 2 = o*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48036367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(4 - 5 - 1) + 14 - 6 + 25)*(2 - a - 2).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 4 - 0) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 25*z + 38. Let h be j(26). Suppose 3*s - 3*m - 15 = 0, h*s + 3*m = 17*s - 19. Solve 5*o + 10 = -2*g, -s = -3*g - 4*o - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8 and 89\/616002.\nAnswer: 2464008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -1194, -2607, -4562, -7059?\nAnswer: -10098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95.6 - 96. Which is the third smallest value? (a) -19 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1618*o - 1629*o + 0 + 0.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 5) + (-99)\/(-3). Suppose 4*r + 16 = n. Solve 4*t = -t - r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37541 + -25002. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 702\/(3\/1) - -10. Which is smaller: h or 487\/2?\nAnswer: 487\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 14 + 0)*((3 - 3 - l)*(-4 + 4 + 2) + 2 - l - 2).\nAnswer: 201*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lasssmallsaamss. Give prob of picking 2 m and 2 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 + -4 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - 1) + -1 - (0 + 14 + 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 593 - 32353. Is g\/(-35) + 3\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-45 + 33 - (8 - 1)) + 9 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/280 - 84\/224)*(-5)\/(-150)*1.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**3 - 34*j**2 + 7*j + 8. Let t(n) = -5*n**3 + 17*n**2 - 4*n - 4. Determine -7*t(k) - 4*w(k).\nAnswer: -k**3 + 17*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15444 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 45*l - 1994. What is f(44)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 16) to base 6\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105084\/(-6116) - 4\/(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2757, 11282, 25523, 45498, 71225?\nAnswer: 102722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2 - 24 - 5*x + 32 - 15. Let a be f(4). Solve 4*d = d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6055179, 6055190, 6055201, 6055212?\n\"Answer: 11*z + 6055168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t - 27. Let w(g) = 13*g - 24. Let j(a) = -8*v(a) + 9*w(a). Let o(i) = 197*i**2. What is j(o(n))?\nAnswer: -591*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2479625\/4716 + -47\/1179. Is h smaller than 526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -1\/3*c**3 + 9\/2*c**6 - 151 + 0*c**5 + 21*c**2 + 0*c + 0*c**4. What is the third derivative of x(o) wrt o?\nAnswer: 1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*b - j = -112*b + 18, 4*b + j + 22 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-14))\/(179\/(-5370)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/10 - (-4)\/10. Let n(d) = -d**3 - 7*d**2 - 6*d - 6. Let j be n(-6). Let q be (-15)\/(-10)*(-8)\/j. Solve -q*p + 3*p = -o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 - 13*l**4\/24 + 29*l**3\/6 + 52*l**2. Let w(q) = q + 4. Let z be w(9). What is the tens digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6*z - 225 = 3*m, 5*z = 5*m + 550. Suppose f - 6*f = -z. Let v = f - -6. Do 28 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.56 + -0.56. Let p be (-2011 - -2012)\/((-1)\/(-2)*-7). What is the biggest value in p, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s**2. Let t(p) = p**3 - 5*p**2 - p + 7. Let b be t(5). Let c(r) = 9206*r + r**b - 9206*r. Give c(h(m)).\nAnswer: 225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 - 104*n**4 - 64*n**3 + 936*n**2 + 900*n = 0 for n.\nAnswer: -25, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*q - 2*j, -5*q = -2*j. Suppose q = 4*r + 108 - 100. Let k(z) = -z**2 - 2*z - 2. Give k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*g - 13*g**2 + 16*g**2 - 204*g + 418*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764.3338 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 2*s**2 + 23*s - 15. Is w(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42384c (base 14) to base 12.\nAnswer: 8bb178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from moomoomooommmommmmo?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -11*j + 12. Suppose j*f - 31 - 30 = c, 5*c + 95 = 5*f. Let z(q) = 23*q**2 + q + 2. Calculate the remainder when z(2) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10951313?\nAnswer: 10951313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(6)\/sqrt(3)))\/(sqrt(810)*1) + 2*sqrt(5)*-4 + -2*sqrt(5)*-4)**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135*h**4 - 1035*h**3 - 565024?\nAnswer: 540*h**3 - 3105*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 1 + 1 + (-6 + 1 + 1)*(3*t - 4 + 4) + 4*t - 3*t + 0*t - 2*t + 0 + 0.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/1 + 3 + 9786 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:13 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -47. Suppose 4 = -a*m + 13*m. Suppose -m*c = -158 - 228. What are the prime factors of c?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 1382*y + 0 - 3 - 2*y**3 - 1377*y in the form p*y**3 + k + a*y + n*y**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -22. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 365 - 3*l**2 + 2*l**4 + 0*l**4 - 364 to the form k*l**2 + d*l**3 + j + m*l**4 + f*l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + 6*(sqrt(304) + -1))*-1 - (-1*(sqrt(304) + 2 + sqrt(304) + -5) + 0)**2).\nAnswer: -72*sqrt(19) + 3666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6 = -r + 3, 5*y = r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(3*(sqrt(360) + -2*sqrt(360)) + sqrt(360)))\/(2*sqrt(128)*1 + sqrt(128) + sqrt(128)*2*-4))**2.\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 66*u + 6. Let n(g) = -44*g - 4. What is 8*n(o) + 5*y(o)?\nAnswer: -22*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75630 - 3881. What is the ten thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6 and -91\/57836?\nAnswer: 173508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n - 274 - 86 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1254911\/15 or -83660?\nAnswer: -1254911\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*v - d - 23, 2*v + 4*d - 12 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**2 - 4*o + 1\/45*o**5 + 1\/135*o**6 + 0 + 0*o**3 + 1\/54*o**4. What is f in r(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t + 3*r - 21 = 0, 8 = 3*t - 2*r. Suppose -t = -p - 3. Let i be (-2)\/((-1)\/p*1). Solve 0 = z - 4*w + 2, 3*w = i*w - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -392 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 39, 161, 405, 813, 1427, 2289?\nAnswer: 3441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 7*m**2 + 2*m + 5. Let p be s(-5). Let f = -556\/7 - p. Let 0 + f*w**2 + 4\/7*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2698*l - 2746*l. What is the closest to -36 in 0, 0.1, -8, l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97083683 is divided by 1253?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 276*l**6 - 2*l**2 + 37 wrt l?\nAnswer: 33120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 7 - 1 = 0. Let j be ((-3)\/(-3)*x)\/((-2)\/10). Solve j*b - 24 + 4 = 3*w, -4*b - 16 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - (6 - -2 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 50 = 5*j. Suppose l - 5 = -4*u + 1, 2*u = -l + 14. What is the least common multiple of j and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14766*p**5 - 38*p**2 + 19*p**2 + 14763*p**5 - 2*p**3 + 407*p**2 - 357*p**6 wrt p.\nAnswer: -42840*p**3 - 180*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 194849.1 millilitres?\nAnswer: 194.8491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:29 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1 (b) 4\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 62.918. Let p = t - 0.072. Let q = p - -12.99. Which is smaller: -0.4 or q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*8\/(-80)*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 8*w + 4. Let p be a(8). Suppose -i + 28 - p = 0. Let b = -121 + 157. Calculate the highest common divisor of i and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 221444451 + 221444451.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 29*o**2 - 266*o - 162. Give a(35).\nAnswer: -2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 206 = 278. Let f(z) be the second derivative of -2*z**3\/3 - 3*z**2\/2 - 6*z. Let y(b) = 17*b + 12. What is g*f(x) - 2*y(x)?\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/((-12)\/168).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + p - 92 = 0, -4*p + 112 = -4*n - 0*n. Let a = 34 + n. Solve -h = a*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k + 2*k**3 - 34*k - 484 + 14*k.\nAnswer: 2*k**3 + 25*k - 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1311120132 (base 4) to base 8\nAnswer: 1653036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 17*q + 29. Let l be f(2). Suppose -5*d + 75 = -25. Does d = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 180. Suppose -720 = -289*o + 283*o. Calculate the highest common divisor of a and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24b5 (base 12) in base 11?\nAnswer: -3150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from cwyyybwwdwcwwwcwdz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/231 and 109\/546.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1143797809 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(68\/93)*(-316)\/(-237)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**5 - 72*j + 8*j**5 + 6*j**5 + 53*j wrt j.\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7252)\/(-19943))\/((-20)\/30 - (-160)\/33).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/13 (b) -0.4 (c) 4 (d) 1\/2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 12*f**2 + 0*f**2.\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*j = -12*y + 15*y + 7046, -2*y + 5*j = y - 4 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2\/2 + 56*i - 1. Is g(7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - 2*sqrt(80)\/sqrt(5)) + sqrt(64)*1)\/((sqrt(800)*-4 + sqrt(800))*1) + 4 + -2.\nAnswer: -sqrt(2)\/30 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -5 (b) -0.03449 (c) 2 (d) -1\/5 (e) -1\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*x = 0, -5*s = -4*s - 4*x - 10. Solve 4*a + 11 = 3*c - 3, -s*a = 4*c - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - (-12 - 17)) + 22 - 24?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.86 + -51. Let u = d + 3.2002. Round u to 3 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 - 247. Let j be (-30)\/(-8) - (-2)\/(-8). Let d = 2 - j. What is the nearest to -2 in s, -4, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2753 is divided by 212.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -5*b + 29, -b + 2*b + 5*u - 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 3*d - 473. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 3*n + 6*n)*(6*n**3 - n**3 - n**3) - 178*n**4 - 193*n**4 + 341*n**4 + 2*n**2 to p*n + r*n**4 + g*n**3 + t*n**2 + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 140?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 + 54*t**2\/5 - 504*t\/5 + 192\/5 = 0 for t.\nAnswer: -8, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*k = -467 + 340. Which is the second biggest value? (a) 9.2 (b) k (c) 2\/13 (d) 5 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 - 1. Let m be z(-6). Let k be 6\/(-9)*(m - 23). Suppose -3*f + 4*f - k = 0. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/77 - -101\/924. Let u = 3445\/2 - 1758. Calculate the common denominator of r and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1110194, -4440699, -9991546, -17762741, -27754290?\nAnswer: -39966199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22128382 rounded to 4 decimal places?\nAnswer: 0.2213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/88135 (b) 0.03 (c) 3 (d) -34 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3177909 and 2555?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -2.2. Let l = -0.139 - -0.339. Which is the nearest to l? (a) -0.4 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513 (base 7) to base 5.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 8*m**3\/3 + 34*m**2 - 210*m + 11. Let q(s) = -5*s**2 - 45*s + 140. Let c(z) = -7*q(z) - 5*x(z). Determine p so that c(p) = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(117)*-5)\/sqrt(9)*1)**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -23*y**2 - 26185*y - 194501. What is q(-1131)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643429?\nAnswer: 3643429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/9, 5, -15, -7 in ascending order.\nAnswer: -15, -7, -0.3, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 - 0.06. Let y = x + 0.12. Let j = y - 0. What is the third smallest value in -9, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(833) + -3 - sqrt(833))**2 + -1 + 3 + sqrt(153).\nAnswer: 213*sqrt(17) + 20836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2. Let d(i) = i - 5. Let y be d(5). Let z(g) be the second derivative of 0*g**2 - 4*g - 1\/6*g**3 + y. What is z(m(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -37*t + 108. What is m(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1291 + -1294. Which is smaller: x or 58?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-81 - -80) - 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49529264 - 49529261.99999928. Let c = 2 - t. Round c to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-40)\/(-4)*21454\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -66.\nAnswer: -66, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - h + 294 + 132 = 0, 4*u - 860 = 2*h. What is the remainder when u is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 21*a + 6. Let w be r(21). Let c be (-2)\/3*1\/((-2)\/w). Solve -4 = -4*v, -c*h - 3*v = -6 - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96983402 and 2686.\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 1. Determine z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9358 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z + 5. Let d be 19\/2*6 + z. Suppose 0 = -w + 5*w - d. Calculate the highest common factor of w and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -n - 3*n. Let p be ((-5)\/n)\/((-1)\/(-4)). Suppose s + 5 = p*s. Let o(d) = d**3 - 6*d**2 + 7*d - 6. Give o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tauaujujcj. What is prob of sequence jc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -993a00b?\nAnswer: -993a006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 72*a**2 + 96*a - 9. Calculate w(4).\nAnswer: 1527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4883 or 3760?\nAnswer: 3760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-35))**(-49)*l**(-1\/10)*l**2*l**(-1\/3) assuming l is positive.\nAnswer: l**(51497\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*d + y, 1276*d - 1280*d - 2*y = 16 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 2*c**2 + 3*c**2 + (4*c + c - 4*c)*(2*c + 4*c - 4*c) + (c + 1 - 1)*(0*c + 0*c + 2*c) - c**2 + 4 - 4 in the form a*c**2 + l*c + t and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 3*t + 9. Let n(s) = s**2 - 3*s - 10. Let h(f) = 7*l(f) + 6*n(f). Let w be h(3). Solve w*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498344554513 minus 2.7?\nAnswer: 1498344554510.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11. Suppose 6*a - 172 = -58. Suppose -3*i - 2*m = -a, 3*m - 4*m + 2 = 0. Put 3, i, s in descending order.\nAnswer: i, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 22887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 58610000 to the nearest one million.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 - 1 - 5 + 13*k**2 + 5*k**3 - k**3 + 6*k. Suppose -21*f - 37 = 89. Let d be c(f). What is the greatest common divisor of 35 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -33*j + 23*j - 10. Solve -5*w = -3*d - 34 + 46, j*w + 16 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 55 + 52 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*s + 209*s = 412*s - 288 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let x(w) = -7*w**a + w**2 + 8*w**2. Let j(n) = -n**2. Determine j(x(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o + 19*o + 7*o in the form j*o + a and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-40) + 9\/(-24))\/1. Let b(u) be the third derivative of 4\/3*u**3 - 2\/105*u**7 + i*u - 3*u**2 + 1\/5*u**5 - 1\/30*u**6 + 5\/6*u**4 + 0. Factor b(s).\nAnswer: -4*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358 divided by 8.\nAnswer: 179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14929 is divided by 199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = c - 96772, -5*c + 266741 = 4*w - 217097. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11*n + 3*n + 2.\nAnswer: 14*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 90365?\nAnswer: 90347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 0, 1286 in decreasing order.\nAnswer: 1286, 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 945, 1415, 1833, 2181, 2441?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/14 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145\/2*d + 153\/2 - 9\/2*d**2 - 1\/2*d**3.\nAnswer: -(d - 9)*(d + 1)*(d + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*f + 4*f**3 + 1 - 11*f**3 + 8*f**3 to k*f**3 + b*f**2 + z*f + x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 69*h - 32. Determine s(-5).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*m + m = 18, m - 2 = 0. Suppose q*w + 14 + 106 = 0. Is (-766)\/(-14) - w\/105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(-185*x**4 + 224*x**4 + 2*x**2 + 287*x**4) to the form d*x**3 + u*x**2 + c*x**4 + z + i*x and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3101 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -532\/4551 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -249.8905 - -250. Let o = 0.12013 - v. Round o to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8.93. Let m = 0.03 + a. Let s = 0.14 + m. Is 3 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t - 7. Give w(-10).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from qkhhcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 199386844+70513\nAnswer: 199457357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 63*t**2 - 88*t - 946. Is s(-62) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m - 3*m - 42 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23067 and 4257?\nAnswer: 991881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15630 = 3*a, 15*k - 18*k - a = -9392. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 119179\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**4\/6 - 29*j**3\/6 - 6*j**2 - 6. Let x(t) = 3*t + 20. Let n(v) = -5*d(v) - 7*x(v). What is n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -2*f + 5*o - 80, 5*f = -o + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33\/23 + -686\/115. Let p = -34\/5 - q. Factor -p*f**3 + 9\/5*f**2 - 6\/5*f + 0.\nAnswer: -3*f*(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y. Let j be k(1). Are j and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klklkxlk. Give prob of picking 3 k and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -869 and -5.\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 431.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 72694.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + k - 205, x - 5*k = -24 - 32. Sort 4, -26, x, 0 in descending order.\nAnswer: 4, 0, -26, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose 2*a + 39 = t*a. Let m = 78 - a. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 171. Solve 0 = 3*w + 5*j - 19, 1 = -j + r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-25))\/((-327)\/3815))\/(36\/40*-4)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126*(-207)\/(-966))\/((-1)\/(-1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2532 + 2533. Which is the closest to 0.1? (a) 1\/3 (b) -3 (c) t (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0391 - 0.0391. Sort 5, -91, b in descending order.\nAnswer: 5, b, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37706, 41254, 44802, 48350?\n\"Answer: 3548*f + 34158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -122.5. Let y = -69.063 + 0.063. Let l = y + c. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -91. Let p be (-4)\/18 - (-8)\/h. Determine n so that -1\/3*n**2 + p + 0*n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -7*s + 60. Let j be s\/10 - 182\/130. Is -1\/56 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-195) - 12\/(-78)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*w**3\/2 - 24995*w**2\/2 - 511475*w\/2 + 25215\/2 = 0. Calculate w.\nAnswer: -41, 3\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r + 21. Let y be p(-3). Put 0, -5, 52, y in descending order.\nAnswer: 52, y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 769?\nAnswer: 7\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40020 + 40023. Let c be 4*2 - -1*1. Solve m*a = c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 + 105*h**2 + 96*h - 204 = 0 for h.\nAnswer: -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/6)\/2*(-2943)\/(-36)*(-4733)\/9466?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - -3 - (-14 + -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*q - 161 = 0, -4 + 3 = q. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7681563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 1, w: 2, a: 4, e: 1, n: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -1\/2*o**6 - 385\/6*o**3 + 245*o**2 + 91*o + 0 - 655\/12*o**4 + 41\/4*o**5. Find f, given that j(f) = 0.\nAnswer: -1, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - ((5 + 5 - 30) + -23).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 + a**2)*(5*a - 4*a - 3*a) - a - a**3 + a + (-3*a**2 + 2*a**2 + 0*a**2)*(-6*a + 10*a + 4*a).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*j = 114*j + 1976. Calculate the remainder when j is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 35*u = 19*u + 88, 5*x - 5*u + 10 = 0. Solve 0 = -t + 15 - 16, 4*s - 24 = x*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -2003?\nAnswer: -2003.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - h - 2*h + 6. Let m(w) = -6*w + 5. Let c = -9 - -3. Suppose -6*o + 4*b - 17 = -7*o, 4*o - 50 = -10*b. What is c*m(y) + o*l(y)?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 + 3*f**4 + 0*f**4)*(-3 + 4 + 0)*(0 - 1 - 1)*((1 + 1 - 4)*(-3 + 3 - 1) + 0 - 1 + 0 + 98 - 50 + 93 - 1 + 1 + 3).\nAnswer: 290*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -479c2 (base 14) to base 3\nAnswer: -22212210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35003444 (base 6) to base 10\nAnswer: 1073908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 4 = 7*g. Let d be (3\/(-42))\/(2\/(6 - g)). Let o = 0.9 + -1.2. What is the closest to -1 in -8\/3, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -369 - -371. Let y = -0.048 + -2.942. Let t = -0.01 + y. What is the closest to w in t, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451 - 150\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let z(h) = 13786*h. What is z(t(u))?\nAnswer: 13786*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -3\/7, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 - (-28 + (27 - 9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/32 (b) 5 (c) -53 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-834*m + 1663*m - 45 - 827*m)*(2 + 2*m - 2 - 26*m + 2*m + 40*m + (-1 + 1 + 1)*(4*m - 4*m + m)).\nAnswer: 38*m**2 - 855*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/(-6)*24\/(-9). Suppose 2*b + d = 6*b. Suppose -2*n + b = -n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365842 + -1668842. Round l to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/5021, 37?\nAnswer: 2\/5021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(171))*2 - (-1*(sqrt(171) + 0) - sqrt(171)))*6 + (sqrt(171) + 4*(sqrt(171) + sqrt(171) + 0) + sqrt(171) + sqrt(171))*-5 + -1)**2.\nAnswer: 186*sqrt(19) + 164332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/6)))\/a**(-4))\/(a**(1\/4))**(1\/17) assuming a is positive.\nAnswer: a**(779\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 54*i**2 - 9*i - 48. Calculate x(-54).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 1. Let d(q) = -q + 1. Let m(x) = -4*d(x) + 5*y(x). Let z be m(-4). What is the third biggest value in 10\/7, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3568 take away -0.1?\nAnswer: -3567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 127. Let z = -12 + p. Suppose 56 - 5*g**z - 117 - 10*g + 56 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 32624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 26, 2.\nAnswer: -5, 1, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 7) to base 6\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -84645716 divided by -4?\nAnswer: 21161429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 79\/2*d + 9\/2*d**2 - 9 = 0. What is d?\nAnswer: -9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + 851. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 5*j + 13. Let l be w(9). Let c = -25 - l. Let n(k) = k**2 - 7 + k**2 + 6 + 3 - k. Calculate n(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897319 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43051899 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 8:50 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by 9.\nAnswer: 193\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*g = 168*g + 20. What is the nearest to 1 in 2\/15, -1, g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let m be l(0). Suppose 2*y - 3*n + 8*n + 10 = m, y + 5 = 5*n. Let j = -0.4 - 0. Which is the closest to 1? (a) 2 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176) + sqrt(176) + sqrt(176)*1 - sqrt(176)))\/sqrt(11))\/(sqrt(96)\/(sqrt(12)*-4)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -53073*u**2 - 38*u - 864. Let o be r(-24). What is o rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -84.9 and 0.1.\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 2584\/153) + 2 + 394\/18 + -2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + p**2 - 3)*(13*p**2 + 0*p**2 - p**2) + (1 - 2 + 0)*(4*p**4 + 0*p**3 + 0*p**3) + 3*p**4 + 0*p**4 - 2*p**4.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 7*d**2 + 10*d - 27. Calculate g(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j**3 + 5*j**2 + 3*j. Let c be v(-4). Let b = 20 - c. What is b rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2904*b**2 + 64 - 704*b + 14641\/4*b**4 - 5324*b**3 = 0.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 2*b + 3. Let k(j) = 2*j**3 + j**2 + 4*j - 6. Let o(h) = 13*a(h) + 6*k(h). Let i be o(5). Let c = 49 - i. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 9*g + 3*g**3 - 3 - g**2 - 3*g**3 - 8*g**2.\nAnswer: 3*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(3*sqrt(2)))\/(sqrt(240)\/sqrt(5)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 - -1082. What are the prime factors of w?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i + 33. Give o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237890363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v + 546 = 41*v + 38*v. Suppose -2*k - 5 = 3*k. What is the remainder when v is divided by 1\/(14\/12 + k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f + 60 = 0. Let p = f - -36. Suppose -6*j = -10*j + p. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:40 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 7*h - 19 = -8*h, r - 3*h = 9 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 25, 0 = -4*u - 9*f + 10*f + 111769. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 124. Let m be p(0). Let i = 16 + 3. Suppose 5*n + i - m = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (-476)\/(-34) + 44.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4430783 nanometers in meters?\nAnswer: 0.0000000004430783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + 6 - (8 + (1 + -6 + 0 - -12)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-644*b - 1727*b**2 + 644*b)*(-b**2 + b**3 + b**2) + 0*b**5 + 4*b**5 - 3*b**5.\nAnswer: -1726*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -26*c**2 + 8346*c + 80. Determine b(321).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*j + 97*j = 504. Calculate the smallest common multiple of j and 350.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 44*g - 69. Let d be u(20). Solve -20 = 9*n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -34.5. What is the nearest to 1 in 2\/19, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 = 13. Suppose 0 = 5*c + 1 - m. What are the prime factors of (-8)\/(-2) + c + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18288\/(-39116))\/(3\/(-11))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6806 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + x)*(-4*x - 4*x + 4*x).\nAnswer: -4*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 - 3*i**2 - 3*i + 3. Determine n(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1062 and 308511.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 180, 1\/2, -202, 0.25?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1930863)\/(-24) + 477\/1272?\nAnswer: 43, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*o + 6, -2*d - 5*o = -0 - 3. What is the third derivative of -d*i**5 + 88 - 88 + 7*i**2 wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*2\/(24\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o - o**4 - 90 + 174*o**2 + 168*o**2 - 487*o**2 + o + 168*o**2 + o**3.\nAnswer: -(o - 5)*(o - 2)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - 0. Suppose i + 6*i = -28. Let j be 4 + 2\/b*i. Solve j = o + o - 2*m - 6, -o - 5 = m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from bbbbibbbbbbbbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3307\/(-20))\/(2\/(-25)). Let q = w - 2055. Calculate the common denominator of q and 1975\/(-90) + 59\/531.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3 + 34 + 8*r - 16*r. Let c be h(5). Is 2\/c + 1 - 893\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*f - 0*f + 26628, -2*r = -4*f - 13290. Let t = r - 4593. What is t rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2.5 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1211.1 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2325 and 894350?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -31. Suppose 3*u - 5*t - 9 = 7, d*u = -t + 52. Suppose 0 = 8*m - u*m + 5080000. What is m rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*i**2 - 1 - 82340*i**3 + 3 + 164680*i**3 - 82331*i**3 as t*i**3 + s + o*i**2 + j*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + (3 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b. Let x(j) be the first derivative of -j**3\/3 + j**2\/2 + 16*j - 5. What is the remainder when x(b) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.16633 millimeters to centimeters.\nAnswer: 0.216633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2 + 3*h - 4. Let v be j(3). Let d = -19 + 28. Let k = d + v. Solve -k*z = -2*n - 31, 0 = -0*z + 4*z - 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 8*d**2 - 9*d**2 + 3*d - 17. Let b be t(6). Let m = 1 + b. Solve 3*k = 5*f + 2 - 0, -m = 3*f + 5*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - n**2 + 2*n**2 + 4*n**2 - 4*n**2 + (0 + 1 - 3)*(-4*n**2 + n**2 + 5*n**2) - 301*n**2 + 630*n**2 + 359*n**2.\nAnswer: 685*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69100 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 67*v - 123*v. Let k be i(-10). Suppose -930 = x + k. Round x to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:28 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + q - 4)*(94 - 90 + 112 + 2 + 2 - 5 + 0 + 1 + 1 - 4 + 1 + 1 + (1 + 0 - 3)*(3 + 2 - 3) + 1 - 1 - 2) - 5*q + 0*q + q - 1 as c + h*q and give h.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -14 (b) 13\/5 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 47\/6 - (-5)\/30. Solve -4*g = -0*g + j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81934 plus -627328?\nAnswer: -545394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 17*r - 52.\nAnswer: -(r - 13)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7229970 and 143880.\nAnswer: 28919880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 827, -3934, -11869, -22978, -37261, -54718, -75349?\nAnswer: -99154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10646 minus 1.9?\nAnswer: -10647.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11) + sqrt(22)\/sqrt(2)*2.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42808399, -42808390, -42808371, -42808336, -42808279, -42808194?\n\"Answer: b**3 - b**2 + 5*b - 42808404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.058 - 0.095. Let t = o - 0.163. Let y be 16\/72*2\/4. Which is the closest to 1\/4? (a) t (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 73*y - 2323. Give d(20).\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 1505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 403 + 5?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, 1 s, and 1 j when four letters picked without replacement from jfsqjxxb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (-532 + 571 - (79 - 3))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 257.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173.49998707 + 173.5. What is f rounded to 7 dps?\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12219570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -22. Suppose -m - 4*q - q + 1114 = d, 3*m = q + 3262. Let g be (-2)\/10 + m\/45. Solve -4*s + g = 2*r, -5*r + 17 = 5*s - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 90.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w + 5. Does 13 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42*-5)\/(10\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1253083 + 12479290.\nAnswer: 12479290.1253083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqc when three letters picked without replacement from xqxqqgqc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -725?\nAnswer: -721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223322120121 - 10?\nAnswer: -223322120131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2310 and -113\/11550?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63303597.\nAnswer: 3, 7, 17, 59107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + 1420?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2. Let j be z(-1). Let y(u) = u + 12. What is the least common multiple of 3 and y(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -72, -68, -62?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 534565*s + 34866.\nAnswer: 534565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334 + -345. Let x(l) = l**2 + 12*l + 14. What is x(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1760.13, -0.3 in decreasing order.\nAnswer: 1760.13, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58034.95l to millilitres.\nAnswer: 58034950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + c**2 + 2*c + 2)*(130*c + 123*c + 194*c)*(-4 + 5 + 3) in the form d*c**2 + w*c + l*c**3 + x and give l.\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.90005 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221165574 and 3.\nAnswer: 221165574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -13, 1\/6, -0.2 in ascending order.\nAnswer: -13, -0.4, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1419*r**2 + 2*r - 2*r - 1240*r**2 - 3*r**3.\nAnswer: -3*r**3 + 179*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/13992 and 49\/1452.\nAnswer: 153912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let j(q) be the third derivative of -5*q**4\/8 - 9*q**2. What is w(j(h))?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-954)\/795)\/(((-3)\/14)\/((-5)\/(-35)*-30)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665008199?\nAnswer: 665008199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 64 = 4*k - 20, 4*k - 2*l - 102 = 0. Suppose -23*x + 4 = -27*x. Let w be 33 - x\/(-1)*-3. What is the greatest common factor of k and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*y = 226*y - 23*y - 4920 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-44)))**(-3\/19)\/(v\/(v\/v**(1\/46)))**(-4))**(2\/97) assuming v is positive.\nAnswer: v**(-5996\/42389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0023952+-4780\nAnswer: -4779.9976048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18748, -18749, -18750, -18751, -18752, -18753?\n\"Answer: -l - 18747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 3*v + 5. Suppose 4 = -p + 17. Let d = 8 - p. Is g(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(390\/135) + 16. Solve 641*f - 648*f = -n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282560, -283387, -284214?\nAnswer: -285041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311 (base 6) in base 13?\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-900)\/(-1107)))\/((-11)\/(550\/30))?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + 3*-5*(0 + sqrt(2)))**2.\nAnswer: -150*sqrt(2) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = w - 3, 2423*w - v = 2427*w + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 34*q - 7 = -35*q, -5*m = -3*q + 14. Which is the nearest to -1? (a) -0.4 (b) 0.33 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmmmrmmmrm. Give prob of sequence rrm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 + 135. Let y = n + 94.5. Sort 3\/17, -3, y, 1\/2 in increasing order.\nAnswer: -3, y, 3\/17, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 + 4. Let u(a) = -30*a**2 + 11. Let n = -575 - -586. Give n*k(m) - 4*u(m).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 732955414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -620 divided by -31\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -2\/3 (c) 2 (d) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 + p - 2. Let g(o) = -2*o**3 - 2*o**2 + 2*o - 1. Give -3*g(b) + 6*q(b).\nAnswer: 12*b**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.041 + -4205328?\nAnswer: -4205334.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9 = -3*x + 157, 0 = 3*m + 15. Suppose -r + 45 + 57 = 0. Let i = r - x. Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28 + 3807\/(-135))*-25. Let r be (-6)\/(-39) - 14\/(-78). Let 0 - r*u**2 + u**3 - u**4 + 0*u + 1\/3*u**x = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 9*b - 9. Let v be m(-7). Suppose -4*t + 2*c + 14 = 0, -2*t - 4*c = -c + v. Suppose t*a = 138 + 28. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 5\/6 (c) -17 (d) 106 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - w**2 + 2*w**2 + 2*w - 26*w**3 + 22*w**3 as z*w**4 + p + u*w**2 + x*w + a*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58837332 - -0.04.\nAnswer: -58837331.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 53 + -66 + -18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k, -5708 = -3*b + 2*k + 28654. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-11)\/(352\/520))*32\/(-20)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**21)**24\/(l*(l\/(l**(-13)*l))\/l*l**36\/l) assuming l is positive.\nAnswer: l**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 258288?\nAnswer: 1291440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cdd (base 14) in base 12?\nAnswer: -b003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -5, 72, -20, 5, 17 in increasing order.\nAnswer: -53, -20, -5, 5, 17, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 354\/295*(35\/(-14))\/(2\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*m**5 + 156*m**2 wrt m?\nAnswer: 12840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 9) to base 14\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011111100001 (base 2) in base 6?\nAnswer: -221105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(5) - sqrt(20)*6.\nAnswer: -11*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1173 + -509. Is h a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -1\/18262 (c) -3\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y + 4. Let q be s(-3). Let v = 17 - 32. Let t be (-6)\/9 + (-70)\/v. Calculate the highest common divisor of t and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {u: 1, r: 3, j: 6, n: 2, p: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 36. What is the tens digit of u(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 70*z - 1. Let u be o(35). Which is the closest to u? (a) -0.246 (b) 2 (c) -1\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h\/(h\/h**(1\/3)))\/(h**(-1\/3)*h\/((h**(3\/7)\/h)\/h*h)*h)*(h*h\/(h*h\/h**(-2\/27)*h*h))\/(h*(h**(2\/19)\/h)\/h)*(h**(1\/4))**17 assuming h is positive.\nAnswer: h**(16747\/14364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 1:51 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g - 12 = 0. Factor c + 15*c - 8 + 18*c - 2*c**5 - 40*c**2 + 20*c**g - 4*c.\nAnswer: -2*(c - 1)**4*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161*f**4 + 41*f**4 + 92*f**4)*(-2*f - 2 + 2) + 2*f**5 - 2 + 2.\nAnswer: -586*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 209, 210?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320560.\nAnswer: 2, 5, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(18)\/sqrt(6) + 1)*1 + ((sqrt(216) + sqrt(24))*3)\/(sqrt(48)\/(sqrt(6) - sqrt(96))))**2.\nAnswer: -140*sqrt(3) + 3679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 7*i - 7. Let x(u) = u**2 + 3*u + 3. Suppose -4*l = 19 - 47. Let z(g) = l*x(g) + 3*o(g). Let v(b) = 3*b + b + 3*b - 8*b. Calculate v(z(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.7 - -1.3. What is the nearest to -0.1 in b, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 20*i - 34*i + 12*i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Let s = 14 + -23. Let x = s - -10. Solve -n + 7 = b*a, -3*a = 2*a - 2*n + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/100*10\/4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chd when three letters picked without replacement from hhudycu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 58289*r - 23. Let d be z(7). Let l(c) = c**2 - 3*c - 6. Let f be l(5). Suppose f*n - 8*n + d = 0. What is n rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-3) + 6\/9. Let f(n) = 6*n**3 + 2*n**2 + 1. Let j(q) = 7*q**3 + q**2 + q + 1. Let z(t) = 3*f(t) - 2*j(t). Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*(-4)\/(-12)*37. Is (1 + 6\/8)*p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 43*r**2. Let g(p) = -p**2 - 2*p**2 + 5*p**2. Calculate g(m(h)).\nAnswer: 3698*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 - 452*r**3 + 579856*r**2 - 63552688*r - 64132992 = 0. What is r?\nAnswer: -482, -1, 154, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.709 + -25.009. Which is the closest to 1? (a) 5\/3 (b) 0.008 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316063566 + 4?\nAnswer: -316063562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*m**3 + b + 207*m**4 - 3*m**3 + 11*m + 26 wrt m.\nAnswer: -6*b*m + 2484*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595986901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + o - 29 = 0, 5*o = -17*d + 13*d - 65. Is (69\/5 + -3)*(-350)\/d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -74, -2\/7, -0.1, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5370 divided by -537.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -22*o + 27*o - 39, -3*g - 5*o - 3 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.83 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 9 - (-13 + -20).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 8. Let v be r(6). Let z be v\/10 + 8728\/5. Is 9 a factor of 2\/7 + z\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 3323341444?\nAnswer: -3323341421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870758?\nAnswer: 2, 11, 130489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 22*o**2 - 56*o + 91. Let i be h(-19). Solve -12*a = -30*a + i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1427, -1439, -1467, -1517, -1595, -1707, -1859?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 8. Let h be v(-8). Suppose -3*r + h*r = -18. Suppose r = -2*a + 5*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39066?\nAnswer: 2, 3, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -22106*((-14)\/4 + (-12)\/72*-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*6)\/(3127\/(-15635)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 72*h - 58. Let p be w(-17). Let b = p - -318. Solve b*r - 44*r = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(-1 - n + 3 + 3).\nAnswer: 4*n - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:02 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - ((-11 - -3) + 9)) + 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425) + -1) + ((sqrt(425) + sqrt(425)*-2)*-1)**2.\nAnswer: 15*sqrt(17) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 804*n - 811*n + 137557. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26) + (-144)\/260.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -2*t**2 + 0*t + 0*t**4 + 2\/3*t**3 + 0 + 1\/15*t**5. Differentiate v(y) with respect to y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(-5*sqrt(8) + (2*sqrt(242) - sqrt(2))).\nAnswer: 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 22 = -5. Let z = -7 - b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2275 and 90?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11937, 23873, 35809?\n\"Answer: 11936*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 393\/3 + (-4)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**4 - 55*p**3 + 4*p**2 - 4903*p?\nAnswer: 60*p**2 - 330*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*88\/(-55) - -82. Solve -9*w - i + 27 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = -2*d. Let i(q) = -q - 7. Let w be i(d). Let f be -2 - (3 + (-2 - w)). Sort f, 0.4, -7 in decreasing order.\nAnswer: 0.4, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -287694213905.\nAnswer: 287694213905.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let h(a) be the first derivative of -29*a**3\/3 - 2*a - 58. Give b(h(p)).\nAnswer: -841*p**4 - 116*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 12*x + 12. Let h = 15 - 6. Determine z(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4988 - 4969. Solve -7*t = c + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 1\/12*x**4 - 1\/120*x**6 + 0 + 1\/3*x**3 + 0*x**5 + 2*x**2 + 0*x. What is the units digit of m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 455 - 485 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67, 60, 55, 52, 51, 52?\n\"Answer: m**2 - 10*m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -7 (b) -1\/4 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 8*g**2 - 11*g - 11. Calculate p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 110101000110011100 (base 2) to base 4\nAnswer: 311012130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k**2 + 57*k**2 - 24*k**2)*(3*k - 3*k - 2*k**3) - k**5 + 3*k**5 + k + 2*k**5.\nAnswer: -94*k**5 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1845, -5480, -11407, -19626, -30137, -42940, -58035?\nAnswer: -75422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 + 6*i + 6. Let j(t) = 4*t + 5. Let b be j(3). Suppose -b = 5*h - 2*u, -2 = -2*h - 3*u - 5. What are the prime factors of d(h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5169090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 7*z - 30. Let b be (-7)\/(-42) + (-65)\/z. Calculate the greatest common factor of 77 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2264, 2187, 2080, 1937, 1752?\nAnswer: 1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320)*1 - sqrt(320)) + -4 + sqrt(320) - (sqrt(320) - (0 + sqrt(320) + -2 - sqrt(320)) - sqrt(320)))**2.\nAnswer: -192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 42*y**2 - 35*y - 120. What is the remainder when w(-4) is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1373 - -1813. Calculate the remainder when c is divided by 91.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4436 times 0.04\nAnswer: -177.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -29641122.\nAnswer: -1\/9880374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -12, 3\/8, -4\/3, -0.5, -25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.001 less than -0.4?\nAnswer: -1.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 33. Determine o(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose t - u = m, -m + 1 = 2*t - 3. Let g = 31 + -27. Solve 6 = -g*f + t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-9)\/288*-8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 131\/2438?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Sort 0, x, 5.\nAnswer: x, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.1738ng to milligrams.\nAnswer: 0.0002561738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/681888 and 149\/1235922.\nAnswer: 19774752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/20*(-10)\/4. Let a be (-4)\/14 - 153\/(-21). Let p be 2\/4*4 - 2. Solve -y = p, -a = -5*u - l*y - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133658219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 = -5*g + 27, -g - 3*o + 11 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1*(-3 + -1 + sqrt(2)))*3 + ((sqrt(200) - sqrt(8))*-4)\/(sqrt(32)\/(sqrt(8) - sqrt(8)*3)))**2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217656 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 73, 44, -7, -86, -199, -352, -551?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295032617.1475 plus 0?\nAnswer: 3295032617.1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93.73 + 93.63. Let k be (2\/46)\/((-3)\/(-6)). What is the nearest to 2\/7 in k, -3, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/1*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*u = 91 + 99 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 28 + 19*m**2 - 19 + 44)*(-5 + 1 + 5) to the form o*m**2 + x*m + c and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2202, -4404, -6606?\n\"Answer: -2202*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6103188 is divided by 10206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221200057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2125 = -v. Let x = 14921\/7 + v. What is the common denominator of x and 23\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066821198 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.38 - -8. Let q = -33.281 - -33.181. Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1723 * 89.\nAnswer: 153347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -22*q + 1. Suppose 5*w + 7 = 2. Does 6 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 x, and 1 u when four letters picked without replacement from {q: 4, w: 4, u: 1, x: 7, n: 3, o: 1}?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-4)\/(-2) - 13). Let o = -13 + l. Let b be -4 + (o - 3 - -4). Put -3, 0, b in ascending order.\nAnswer: -3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-2))\/(0 - (0 + -1)). Solve -k - d*o + o = 2, -5*k = -5*o - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337298 at least 337272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0485416366 to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(245) + 5 - sqrt(245))*-5*-4)**2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 81. Suppose p = 4*c - 8, -2*c - 62 = 4*w + c. Let u(j) = -3*j + 18. What is the units digit of u(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74298, -72271, -70244, -68217, -66190, -64163?\nAnswer: -62136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*v + 26, 0 = 3*j - 0*j - 3*v - 18. Suppose -4*z + 3*m = -j*m - 428, 214 = 2*z - 5*m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((0 - (-5 - -1)) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 39*t - 61*t - 36 = -25*t, 5*k + 53 = 2*k - 2*t for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*w - 235*w - 2442 = -16456 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-52)\/(-520))\/((-9)\/30))\/(2\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxdddppddddpxpddddd. Give prob of picking 1 x, 1 d, and 2 p.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 117 - 37 = 4*n, -2*n + 386 - 2 - 104 = 6*x for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*c + 315999992, -c = -2*w - 2*c + 126400002. What is w rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*t - 62*t + 30 - 19 - 11 + 74*t.\nAnswer: -116*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2177660432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**23)\/w*w)\/((w*w*w*((w**8\/w)\/w)\/w*w)\/w))\/((w\/(w*w**(2\/13)*w))\/w)**(2\/5) assuming w is positive.\nAnswer: w**(-1894\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 23*m**2 + 0 - 19*m**2 + 0. Suppose -34*y + 224 = -27*y. Let q(k) = 36*k**2 - 67*k**2 + y*k**2. What is f(q(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -4*u - 8, 0 = 3*b - 4*u - 137 + 129 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*r - 107*r = 25. What is the third derivative of 104*a**4 + 11*a**5 - 55*a**2 - 102*a**4 + 3*a**r wrt a?\nAnswer: 840*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 55*a**3 - 4*a**2 + 2*a - 2. Let f(t) = -549*t**3 + 42*t**2 - 21*t + 21. What is 2*f(h) + 21*v(h)?\nAnswer: 57*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3838.3 - 3838. Which is the third biggest value? (a) d (b) -249 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 2 - (18 + 5)) + 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 15*j - 25. Calculate v(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 4*i + 3*i**2 - 5*i**2 + 3*i. Determine r(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24698.7 smaller than -0.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 - 6*s - 7. Let l = 47 + -35. Suppose u - l + 4 = -t, 2*t = -5*u + 19. Calculate i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 470.\nAnswer: -1\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 + 5*y**2 - 5*y**2 + 5*y**3 - 84.\nAnswer: 5*y**3 + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-2)\/1*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:50 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(112) - -1*sqrt(112)) - (sqrt(112) + 0 + 0)**2) + -1.\nAnswer: -108 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2. Let l(w) be the second derivative of w**3\/3 + 12*w. Calculate n(l(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/74? (a) 16 (b) 5 (c) 3 (d) 31 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -3 + sqrt(539)*1 - sqrt(539)) + (sqrt(539) + -1)**2*4 + (-6*(sqrt(99)\/(sqrt(27)\/sqrt(3)) + 5)*6)**2.\nAnswer: 12911*sqrt(11) + 48813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 78 (c) 11 (d) 0.16 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ouououuouuuuuuouuu.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5262a (base 13) to base 8\nAnswer: -441431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9331)\/9 + 14\/(-63). Let n = j - -1544. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70732427?\nAnswer: 17, 641, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 3*j**2 - 3*j. Suppose 4*k - 14 = -22. Let h(u) = -u**3 + 2*u**2 + 2*u - 1. Determine k*n(b) - 3*h(b).\nAnswer: -b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/4 - z**3\/3 + z**2\/2 + z + 39. Factor n(v).\nAnswer: -(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 - 33. Let y = -81 - l. Suppose -45*q = -229 - 356. What is the remainder when y is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -17*y - 1. Let h(g) = g**2 + 2*g + 2. What is the smallest common multiple of h(0) and x(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {d: 3, s: 3, u: 1, a: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -55, -32, 9, 74?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 + 0*w + 0*w + 5*w - 6*w.\nAnswer: 29*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a44 + -11?\nAnswer: -4a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17982701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -537177, -537198, -537219, -537240, -537261?\n\"Answer: -21*l - 537156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.95374 and 2.23.\nAnswer: -2.1268402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*c - 17*c + 121 = 565 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234\/271 + 48449\/9485. Let t = h + -39\/7. Factor 4\/5*u**2 - 2\/5*u**4 + 2\/5*u**5 + t*u - 4\/5*u**3 - 2\/5.\nAnswer: 2*(u - 1)**3*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -150. Suppose -f + 2 = -w - v, 3*w + 3*f = 0. Let d(b) = b**2 - 5*b - 2. Determine d(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17777323 or 17777326?\nAnswer: 17777326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*t - 55*t + 4. Let m = t + -4. List the prime factors of (1 + m)\/(-1*(-4)\/(-540)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + 5*w - 61 = 0, 4*w = -3*c + 46. Suppose 0 = -4*s + c*s - 1030. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03377 - 3.96623. Which is the second biggest value? (a) -2\/13 (b) 5\/4 (c) -0.2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - t + 14 = 0, 2*f - 9 = -5*t + 7. Suppose -g + 0*g = -f*w + 2394, 784 = w - 5*g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-108)\/26 - (-6)\/39. Let f = k - -8. Let z be (11\/((-462)\/(-36)))\/((-4)\/14). Sort z, 3, f.\nAnswer: z, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 17. Let f be (-9802)\/d + 2\/(-6). Let g = f - -32661\/20. Calculate the common denominator of -25\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.289 - -0.339. What is the nearest to 2\/3 in w, -5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m + 43. Let x(s) = 7*s + 43. What is 5*t(a) - 6*x(a)?\nAnswer: -2*a - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/4))\/b)**(1\/69))**(-6\/25)\/((b**(-2)\/b)\/(b\/(b*b\/(b**(3\/8)*b))))**(-21) assuming b is positive.\nAnswer: b**(-326021\/4600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 600, 1195, 1790?\n\"Answer: 595*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(2\/9))**(5\/6))**(-16\/7) assuming p is positive.\nAnswer: p**(-800\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.46852ml?\nAnswer: 0.00746852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 33786769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 42. Let s = 29 - 15. Suppose -4 - s = -3*c. Solve 4*m = 4*g - n, -c*g + 3*g = -5*m - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -459*o**2 - 18 - 174*o + 342*o - 19*o**2 + 86*o**2.\nAnswer: -2*(14*o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16813 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110577529, -221155057, -331732585, -442310113?\n\"Answer: -110577528*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2828778\/19 at most -148884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.803? (a) 6\/29 (b) -3 (c) 69 (d) 0 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 - (-45)\/36. Let g(z) = -z + 7. Let w be g(5). Suppose 0 = w*t + 7 - 57. Solve 8 = -3*f + 4*m, -3*m = o*m - t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18034 - 18033.98. Let q = -2 + 2.3. Which is the nearest to l? (a) -5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2410 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26)**28 assuming p is positive.\nAnswer: p**728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10980 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 0.1, 35.4, -75, -0.2, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voov when four letters picked without replacement from ovvoovvovvvvvo?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/9 (b) 2\/21 (c) 81219.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -5*k + 62. Suppose -78*q + 64*q - 308 = 0. Let t = q + k. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x**2. Suppose 3*r + 306 = 3*o, -503 = 5*r + 108*o - 106*o. Let b be (2\/(-9) + r\/(-9))*-4. Let n(d) = -d**2. What is b*n(g) + 4*t(g)?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 2*h - t - 649, 1253 = 5*h - t. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 0. Let z be w\/((-1)\/((-1)\/(-1))). Suppose 64 = z*v - 11. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 + -8735\/16. Sort 2, 0.2, -1\/2, l in descending order.\nAnswer: 2, 0.2, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 13*n + 11. Let d be ((40\/(-12))\/(-10))\/(1\/3) - 7. Calculate v(d).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -7\/3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.5*53\nAnswer: -238.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, 4, 1\/5, -5992?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23794 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: Put -4, -0.4, 89, -2\/37, 3 in decreasing order.\nAnswer: 89, 3, -2\/37, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**2 + 0*b + 3 + 2\/9*b**3 + 1\/12*b**4. Factor i(z).\nAnswer: z**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, z: 2}. What is prob of sequence bzz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 18308928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-60)*738\/(-574)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4089?\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Is 10 a factor of -30*(v + -2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 - 3. Let j(w) = -w - 4. Let o(r) = 5*r + 12. Let h(s) = 3*j(s) + o(s). Give h(b(a)).\nAnswer: -8*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 412674107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 16) in base 9?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 104*t**2 + t - 2. Let q(i) = 207*i**2 + i - 5. Let u(k) = 5*o(k) - 2*q(k). Let p be u(-2). Suppose -a = a - p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/12 + ((-4)\/(-6))\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.568 tonnes in milligrams?\nAnswer: 590568000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 25 + 15. Calculate the remainder when 55 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5. Let r be z(4). Suppose -2*c - o + r = 0, -3*c - 5*o = -14 - 20. Solve -2 = -c*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12909\/2 - -6454. What is the closest to -1\/4 in -7.8, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = -3*u + 24, -2*x + 16 = u. What is the remainder when 21 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (3\/9)\/((-6)\/(-144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440616427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4788 divided by 2?\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -262, -627, -1214, -2023, -3054, -4307?\n\"Answer: -111*n**2 - 32*n - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458 = -190*w - 7158 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3318*y + 12 - 5 - 8 + 12 - 11.\nAnswer: 3318*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -2*m. Let h = 67 + m. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1058, -2117, -3176, -4235?\nAnswer: -5294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((403 - 338)*(-3)\/(-66))\/((-15)\/(-12))\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715\/143*-136*9\/(-72)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n + 8. Let i(g) = -g + 7. Let b be i(9). Let t(s) = s**2 - s + 2. What is the least common multiple of t(b) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/20)\/((-6)\/(-15)) and 22\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 - -137. Let s be (-2 - (-84)\/35)\/((-2)\/q). Solve -p + s*r + 2 = 1, 2*r = -p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -667, -975, -1283, -1591?\nAnswer: -1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 165*h**2. Let a(u) = 2*u + 1. Give t(a(k)).\nAnswer: 660*k**2 + 660*k + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = s. Let i(m) be the second derivative of m**4\/12 + m**3\/6 + m**2\/2 - 4*m. Let y be i(s). Solve -5*d - y = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3270.929 rounded to 0 decimal places?\nAnswer: -3271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.062 - -0.062. Let o = l + 50. What is the biggest value in -0.1, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 - c - 1. Suppose 0*a + 4*a + s = 8, s = 3*a - 6. Suppose 28 = -a*n - 2*n. What is the units digit of j(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 15*d**2 - 15*d - 4. Let b be m(-14). Suppose 0 = -f + 4*r + 63, 5*f - 318 = r - 79. Let z = -45 + f. Solve -z*o + b = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770588 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/95 and -49\/65.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 27*p**2 + 27*p + 33. Let o be v(28). Suppose -f + 720 = o*d, -d - 4*f + 16 = -109. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**3 + 6*a**2 + 7*a - 6. Let j be 385\/66 - (-1)\/6. Let i(t) = t**3 + t**2 + t - 1. What is j*i(q) - y(q)?\nAnswer: -2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47140034.\nAnswer: 2, 617, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**7\/1260 - v**6\/810 - 7*v**5\/540 - v**4\/54 - 61*v**3\/6 + 31*v. Let i(d) be the second derivative of f(d). Factor i(u).\nAnswer: 2*(u - 2)*(u + 1)*(3*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -e1?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 32*g**2 + 4202*g - 1311. What is v(-51)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93202 + -17888. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 6*q - 20. Find the second derivative of 7*u - 10*u + q*u + 5*u**2 wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 282 = -34*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 13*y + 220 = 21*y. Solve 3*b = -12, -8*b = -4*h - 4*b + y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 8. Let w = -17 - -24. What are the prime factors of r(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1148920 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1664416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 3*s + 2*s)*(256 - 2705*s**2 - 145 - 109) to m + j*s**3 + o*s + f*s**2 and give j.\nAnswer: 5410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2\/(-2)) - 3. Let n be (-13 + -2)*q\/(-2). Let t be (4\/n)\/((-42)\/(-35)). Which is the biggest value? (a) -0.2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222120103 (base 4) to base 16.\nAnswer: 6a613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - (sqrt(90) + -1*sqrt(90))) + sqrt(90))\/sqrt(6) - 1*sqrt(2160))\/(sqrt(243)*1*-5 + sqrt(243))*4.\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzuunauguugugg. What is prob of sequence zz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 264 + 48 + b**3 + 92 + 203 - 45 as p*b**3 + s*b**2 + u*b + j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 678, 1352, 2028, 2706, 3386, 4068?\nAnswer: 4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -7873069.\nAnswer: 7873074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6000)*-2 + sqrt(6000))\/(-6*sqrt(120)\/sqrt(40)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2*k**2 + 5*k**2)*((2 + 3 - 1)*(-2*k + 2*k + k) + 4*k - 5*k - 8*k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*t - 5*t + z, -2*t + 4*z + 6 = 0. What is the least common multiple of t and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 164, 16793 in descending order.\nAnswer: 16793, 164, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/(10\/50). Suppose 9*u - 15 = 4*u. Which is the closest to -3? (a) s (b) u (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, 9, 5, -4 in descending order.\nAnswer: 9, 5, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59650.17m to kilometers.\nAnswer: 59.65017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:30 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 - 262. Let p(r) = 10*r - 1. Let t be p(4). Let f = g + t. Calculate the remainder when 26 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by 73983?\nAnswer: 5\/5691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3901 times -23?\nAnswer: 89723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/8 + (-2)\/8. Let k(m) be the second derivative of -m**4\/6 - m**3\/2 - 3848*m. What is k(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {q: 4, w: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718219 is divided by 1582.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/10 - t**5\/4 - 17*t**2\/2 + 16*t. Let b(c) be the first derivative of v(c). Find the third derivative of b(g) wrt g.\nAnswer: -504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 20 = 57*h - 60*h, 12 = 5*h + 2*l. Solve h - 11 = -7*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 0*r**3 + 3*r**3 - 2*r**3 - 5*r**3 + 3*r**3 + (3*r - 5*r + 0*r)*(-1 + 1 - 2*r**2) + 4*r**3 + 4 - 4 - r**3 - 5*r**3 - r + 11*r**3 - r**2.\nAnswer: 10*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-506)\/88 - ((-18)\/8)\/3. Let k be -1*(1 - 12\/10). Let w be (2 - (-22)\/(-12))*-2. Put w, q, k in descending order.\nAnswer: k, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51996655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4634 or 5725?\nAnswer: 5725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 6*s**2 - 3*s - 7. Let x be g(5). Let y = 7 + x. Which is greater: 11 or y?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-8)\/(-32))\/((-1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 6*r**2 + 2*r**2)*(-r**2 + 42*r - 31*r - 1 + 0*r**2) as j*r**2 + f*r + l*r**4 + w + y*r**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 - g**2)*(-3*g**2 - g**2 + 5*g**2) - 2*g**4 - g + g + 3*g**4 - 25*g**3 - 7*g**3 - 4*g**4.\nAnswer: -2*g**4 - 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 54*q**2 + 1364*q - 4165. Calculate x(3).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 1, e: 1, w: 1, y: 2, a: 1}. What is prob of sequence wyy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 20*m**2 - 22*m + 259. Let s(y) = 7*y**2 - 7*y + 92. Let d(r) = -6*c(r) + 17*s(r). Calculate d(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = a - 12*j, 16*a - 4*j + 8 = 11*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28478 + -4?\nAnswer: -28482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 18. Let g = -0.03 - 4.97. What is the third smallest value in t, -0.4, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-17 - (7 + -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 26 = -13. Let j(a) = -a + 3. Let z be j(0). Suppose y + l = 3*w, -8 = -4*w - 5*y + z. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 9*w**5\/110 + 101*w**4\/66 + 274*w**3\/33 + 56*w**2\/11 + w - 2641. Factor q(x).\nAnswer: 2*(x + 4)*(x + 7)*(9*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105319\/9330 + 11\/933. Let v be ((1 - -64) + 7)*3\/20. Let x = v + -338\/35. Calculate the common denominator of x and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27711b + -8?\nAnswer: -277124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3048491 divided by 29597.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*p = 2*p, 18 = 5*c - 4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2958 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1085 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 7. Suppose -p = 2*g - 17, -4*p = 5*g + 10 - 81. Suppose -p - 3 = -2*k. Calculate the least common multiple of k and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60056*j + 35013*j + 34086*j)*(3*j - 5*j + j).\nAnswer: -9043*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 12) to base 13.\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 10*f**2 + 9*f + 9. What is the units digit of t(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1\/(7\/51940) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2140000 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - 7*c + 105 = -8*c, 0 = -4*m - 5*c + 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/4)*h**3*(h*h**(1\/3))\/(h\/(h*h**0)*h) assuming h is positive.\nAnswer: h**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13344781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16349, 65028, 146147, 259706, 405705, 584144, 795023?\nAnswer: 1038342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-159)*6\/(-4). Let y = j - -86\/583. Let t = 8\/33 + y. Which is the closest to t? (a) -4 (b) 0.4 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31.85643245 and -99.\nAnswer: -130.85643245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1089386*o**3 + 3522639*o wrt o.\nAnswer: -6536316*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45587150 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -109. Calculate the least common multiple of c and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -26, -64, -138, -260, -442, -696, -1034?\n\"Answer: -2*z**3 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -19 + 11 - 25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17))**39*h*h**14*h*h**(4\/19)*h assuming h is positive.\nAnswer: h**(7041\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:39 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o**2 - 14*o + 5. What is z(-4)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 346930153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*f + t, 2*t + 0*t + 14 = -4*f. Let o(s) = 43*s**2 - 6*s - 6. Calculate the remainder when o(f) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 1. Let x = 5 - 4. Let p be j(x). Which is the nearest to 0? (a) p (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5333, -5323, -5313, -5303, -5293, -5283?\nAnswer: -5273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 803081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - -25. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 154112882 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 867 a factor of 55365753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d224b - 0?\nAnswer: -d224b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*w = 5*u - 2, u = -w. Let f(v) = -2*v**u + 7 + 31*v - 21 + 3. What is the remainder when 5 is divided by f(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and 29.\nAnswer: -4060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 80\/16 - (10\/(-4) + 2)*52364\/494\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 68 - 56. Let x be -1*(-9)\/(-90)*0. Solve 0 = -4*g + r - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - g + 4*g + (-2 + 3 + 2)*(-9*g - 42 + 42) - 2*g + 1 - 1 + (-1 + 4 - 4)*(-g - g + g).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 84323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -10*h + 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let z(f) = -630 + 205*f - 211 - 207*f. What is d(z(s))?\nAnswer: 4*s**2 + 3364*s + 707281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2120, -8879, -20278, -36311, -56972, -82255?\nAnswer: -112154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10214*f - 13680 = -10934*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79.57 + 1.43. Let h = -12 - k. Let w = h - -93.000053. What is w rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130547 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 4*k**2 + 6*k**2)*(-4*k**3 + 2*k**3 + 3*k**3).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 901432\/308 + (-3)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2128*c*p**3 - 25*c + 2*p**3 - 9*p**2 - 2*p wrt p.\nAnswer: 12768*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11 - 5*v + 2 + 6*v. Does 5 divide o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.4, -3, -583 in descending order.\nAnswer: -3, -16.4, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 4.7141624?\nAnswer: -0.23570812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45639?\nAnswer: 3, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g**2 + 4*g - g**2 - 7 - 10*g + g**3. Let o = 44 + -38. What are the prime factors of h(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 2 - 2)*(-14 + 11 + 3 + 145*b) in the form g + o*b**2 + h*b and give o.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12392240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g - 65. Let l be o(-19). Let b = -12 + l. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*28\/2366 + (-11)\/(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110101110110011101 - -110?\nAnswer: -101000110101110110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, 111 in increasing order.\nAnswer: 0, 3, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52426358, 104852717, 157279074, 209705429?\nAnswer: 262131782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 s when three letters picked without replacement from ggys?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86123?\nAnswer: 71, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1190840 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 32. Let d be f(17). Is 669\/d*10\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -120*o**4 - 45*o**3 - 10. Let s(h) = -11*h**4 - 4*h**3 - 1. Let l(m) = 4*f(m) - 45*s(m). What is the first derivative of l(x) wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 3*o**2 + o. Let z be r(3). Suppose -4*c + 3 = -z*k - 5, 5*k = -2*c + 4. Let q(t) = -t**2 - t + 2. Give q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-126))\/(12 - (-648)\/(-56)). Which is the nearest to -1\/6? (a) q (b) 5 (c) -5.2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -743 - 805 + 14*j**2 + 1548 + 169*j to l*j**2 + f + a*j and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2340 by 5.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 155 - 20*b)*(-4 + 4 + 3)*(-5*b + 4*b + 0*b)*(-2 + 8*b**2 + 0 + 0).\nAnswer: 480*b**4 - 120*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**7\/840 + g**6\/90 - g**4\/8 - g**3\/2 + 4*g. Let k(l) be the second derivative of o(l). What are the prime factors of k(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/34)\/(1\/(-8))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(180) + 2 + -1)**2.\nAnswer: 36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427796 is divided by 1735.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*l - 21. Suppose 2*p + 4*t = -0*p + 64, -4*p - l*t + 113 = 0. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(288))**2 + -1 - ((sqrt(96)\/sqrt(3) - sqrt(2) - sqrt(2))*2)**2.\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*j - 39 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44372154.\nAnswer: 2, 3, 7395359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 3*y + 2. Let a be c(1). Suppose -2*u = 3*t - a - 3, 0 = t + u. What is the second derivative of -3*i + t*i**3 - 3*i - 2*i**3 + 0*i wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(10*(-1)\/(-18))*10\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458816 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1429886*i**2 - 18205044*i.\nAnswer: -2859772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = -8. Let z be 7\/3 + 1\/(-3). Suppose 4*t = z*h - t - 10, 6 = g*h - 3*t. Are h and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(224\/12)*(-17)\/(-51). Suppose 5*u - 4*o - 7 = -2, -15 = 3*o. Which is the third smallest value? (a) 1 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*a + 20 = 0, 3*r + 3*a - 15 = -a. Let j(l) = l**2 + 4*l - 12. Let u be j(-6). Solve u = r*f + 4*d - 13, -4*d = -f - 5 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 143548.37.\nAnswer: 143549.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -52*n**2 + 3*n - 3. Let g(q) = 364*q**2 - 20*q + 20. Determine -3*g(b) - 20*t(b).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from hyhyqyyquuuyu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 0\/3 + (-423)\/(-3)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4610*y - 4605*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16370?\nAnswer: 2, 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1485*o**4 + 7*o**2 + 4*o**5 - 1485*o**4 - 2 + 11*o wrt o.\nAnswer: 80*o**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 4*a - 8 - 4 = -b, 1379*b = 1380*b - 3*a - 16 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -90\/11, 10, 1184, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t - 2*t**2 + 21924941 + 3*t**2 - 21925400 to the form w*t**2 + l*t + b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*(-20*y + 3*y - 13*y)*(0*y**2 - 5*y**2 + 4*y**2) + (-4*y**2 + y**2 + 0*y**2)*(y - y + 2*y).\nAnswer: -126*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176.96 + 177. Which is the third smallest value? (a) h (b) -5 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18042 (base 9) to base 4\nAnswer: 3002033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 2*r**3 + 0*r + 4*r + 4*r**3 + r**3 - 6*r**3 + 2*r**2 - 2*r**2 + r**3 + (2*r - 4 + 4)*(-2*r**2 + 1 - 1) - 17*r**3 - 11*r**3 + 13*r**3.\nAnswer: -17*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*l - 25, l + 3*l = 5*g - 37. Let t = -8 - l. Suppose -4*q - 4*x + 76 = t, -3*q - 5*x + 10 = -55. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*b = -1419*b - 165 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12115685 or -12115700?\nAnswer: -12115685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -234, -224, -214, -204?\n\"Answer: 10*f - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t. Let j be (-1)\/(-6)*14*-3. Does 19 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - -152.7197.\nAnswer: 163.7197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let n(k) = k + 9. Let a(l) = 3*l + 28. Let r(q) = -2*a(q) + 7*n(q). Let u be r(-5). Let i(h) = h**2 - u*h**2 - 3*h**2. Determine w(i(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1) + 3)*(-22)\/(5280\/(-3280)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35136\/648)\/122)\/(8*1)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 3. Let v be a(0). Let w be (3\/v)\/(3\/9). Solve -w*b = -3 - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 5229396.\nAnswer: 57523356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 21*g**2 - 144*g - 346. Let l be (-1)\/((42\/18)\/(-7)). Let m(d) = -d**3 - 21*d**2 - 143*d - 347. Let h(o) = l*m(o) - 4*y(o). Factor h(p).\nAnswer: (p + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + 107. Let x = 196 - j. Let i = 51\/2 + -149\/6. Which is the smallest value? (a) i (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 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: Round -1520000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.660332 years to millennia.\nAnswer: 0.000660332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 8. What is the least common multiple of 3 and (2 - -1) + (5 - a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*l + 2887, -3*y = -3*l + 2045 + 115. Let c = -533 - y. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*d**3 + 505*d**3 + 10*d**2 - 10*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4328 = -t + 3*t - 3*q, 0 = -t - 5*q + 2138. What are the prime factors of t?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1150 and 2070.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*(t\/t**(-2\/5)*t)\/t)\/t)\/t)**(3\/7)\/((t*t\/(t*(t\/t**(1\/5))\/t*t)*t)\/((t*t**(-3\/5)\/t)\/t)))**(-41))**(-3) assuming t is positive.\nAnswer: t**(-11316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*n + 28*n - 78 + 39*n - 590 + 34*n to a + v*n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 3102*(5\/(-35))\/((-24)\/56)?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586734163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1715016594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(3102\/(-376)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50179 + 3404 - 11491 = -78*j. Calculate the greatest common divisor of j and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2497.09 + -2477. Let n = p + -1.09. What is the closest to n in -2\/7, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.26 and -2335.3069428?\nAnswer: 2335.0469428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*w - 162 = 16*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5568 and 1718656.\nAnswer: 5155968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j - 21. Let i(b) = b - 1. Let s(k) = 4*i(k) - w(k). Let y(p) = 7*p + 8. Let n(h) = -4*s(h) + 7*y(h). List the prime factors of n(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/13 - 1298*k\/13 - 6440\/13 = 0.\nAnswer: -644, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -41 + 3*q - 5*q + 0*q + 34*q**2. Let u(p) = 8*p**3 + 35*p**2 + 35*p + 2. Let r be u(-1). Is m(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:14 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 5. Let l be q(4). Solve 2*h + l*g + 12 = 0, -5*h + h - 5*g = 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = 0, -x + 27*l - 29*l + 4866 = 0. Is x a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-three fifths of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*o + 5*g, 11 = 2*o - 3*o - 2*g. Let q be (o - (-16)\/(-6))*-9. Suppose r - 22 = -4*t + 16, r - q = -5*t. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 3. Let a be h(2). Let m(y) = y**3 - 2*y**2 - 3*y + 7. Is m(a) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.05890374 rounded to two dps?\nAnswer: -105.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.012849 + -0.0133. Round i to 5 dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -2, 1\/3, 0.22?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w**2 + w + 14. Let a be b(0). Let t be (17192\/84)\/((-2)\/(-12)). Suppose a*u + t = 18*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 0.5, -129, -3, 1\/6 in decreasing order.\nAnswer: 3, 0.5, 0.2, 1\/6, -3, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/15 - 0 - 231\/105?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -25. Solve 2*i + 2*t = -2*i + 10, -t = -2*i + f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 1\/12 (c) -2\/583157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o. Let a(i) = -i. Let f(k) = -10*k. Let m(h) = 8*a(h) - f(h). Determine g(m(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200021002233 (base 4) to base 14.\nAnswer: 11947dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2402*j**2 - 8*j + 274 wrt j.\nAnswer: 4804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 191, 232, 301, 404, 547?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*r - 388*r**2 + 229*r**2 - 212*r**2 - 47*r to i*r**2 + q + j*r and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17826+135324\nAnswer: 117498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Suppose 2*b = b - a*o + 114, 5*b + 3*o - 502 = 0. Calculate the highest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-33)\/(d**0*d**(2\/5)) assuming d is positive.\nAnswer: d**(328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-5 + sqrt(11) + 4))**2*-2 + 2*(2 + sqrt(176)).\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (2\/4)\/((-10)\/(-240)). Let s be (-50)\/(-15)*(-9)\/(-6). Solve -2*h + b = -j, 0 = s*h + j + 2 - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((12\/5)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*n**2 - c**3*n + 194*c**2*n + c**2 + 2*c*n**3 + c*n**2 - 941*n**2 + 4*n wrt n?\nAnswer: -6*c**3 + 12*c*n + 2*c - 1882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1291417 and 761.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*d = 3*s - 16, -2*s = -2*d + 4. Solve -5*f + 5 = -2*n, 2*f - 3*n - s = -n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*k**5 - 68906*k**4 - 42148936*k**3 + 300439782*k**2 - 657164232*k + 411144120 = 0. What is k?\nAnswer: -1234, 15\/14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 7. Let r(o) = 8*o + 10. Let f(a) = -7*c(a) - 5*r(a). What is f(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 92. Suppose 17 = w + 3*d, w - x = d + 2*d. Suppose 0 = 5*n - 41 + 1. What is the remainder when w is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16024, 32049, 48074, 64099, 80124?\nAnswer: 96149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/47 in -386\/7, -4, 1, 7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319782393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156.52 + -35.38. Let x = -96 + -84. Let h = d - x. What is h rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13649 or -23\/4?\nAnswer: -2\/13649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/15 + (-4)\/(-10). Let v = 451\/6 + -75. What is the closest to q in -0.4, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/168 + 1\/6. Let r = 7 - 4. Let o be 2\/r - 0\/(-1). What is the nearest to 1\/4 in 4, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/12 + f**3\/3 - f**2 - 16*f\/3 - 16\/3.\nAnswer: (f - 4)*(f + 2)**2*(f + 4)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 2*sqrt(1573)*1 - sqrt(1573)*-3*-3 - (4*sqrt(156)*4 + sqrt(156))\/(sqrt(132)\/(3*sqrt(11))))**2.\nAnswer: 177957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 571606 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3138297?\nAnswer: 3, 127, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 10)*1*(-1)\/10. Which is the biggest value? (a) -0.5 (b) -0.4 (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-900)*15\/2)\/((-35)\/147)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 460*-3\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 + 2*h + 2. Let a be f(6). Suppose -3*c = 2*j - c - a, 3*j - 4*c = 0. What is the smallest common multiple of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/60 + y**5\/3 + 9*y**4\/4 + 6*y**3 - 96*y**2. Determine s, given that j(s) = 0.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-98)\/7*1*2. Let q be 6\/v*(-6)\/9. Let i = 263\/152 - 13\/8. Which is the third biggest value? (a) i (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 238 = 22. Put 3, q, -52, 5 in increasing order.\nAnswer: -52, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -1.5. What is the smallest value in 3, 0.07, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1101111212?\nAnswer: -1101112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79\/2 of a meter?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*w - 131*w - 127*w - 152*w - 4*w**2 - 124*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -0.4, 6.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q**2. Let g(r) = -29*r. Determine d(g(y)).\nAnswer: 8410*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**5 - 396*n**4 - 26484*n**3 - 618280*n**2 - 1191450*n + 9886500.\nAnswer: -2*(n - 3)*(n + 6)*(n + 65)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1938 and -139\/102.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 - (0 - (8344 - 11)).\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131133 (base 4) in base 16?\nAnswer: -175f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57573, -4, -3, 2, 7.\nAnswer: -4, -3, 2, 7, 57573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 times 3001399?\nAnswer: -2082970906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930803234?\nAnswer: 2, 59, 7888163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/180 + 2*c**5\/45 + c**4\/12 + c**2 - 19*c. Find r, given that q(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -39*r**2. Let k(f) = -f**2 + 28*f - 2. Let t(i) = -114*i**2 + 140*i - 10. Let d(o) = 5*k(o) - t(o). Give a(d(s)).\nAnswer: -463359*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425*s + 2*a = 424*s + 14, 4*a - 28 = 5*s. Sort 3, 381, s, 4.\nAnswer: s, 3, 4, 381","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*n**4 + 125*j**2*n + 9*j*n**4 - 3*n**2 wrt n.\nAnswer: 24*j**2*n**2 + 108*j*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.56.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1) + 70 + 7. Calculate the greatest common divisor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 14645?\nAnswer: 14646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13*o**2 - 3 - 5*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329794 is divided by 134?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 11*l - 5*c - 1090, 4*c + 8 = 0. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -164*j**3 - 3*j**2 + 41*j - 80. Determine z(2).\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/120 + h**5\/20 - h**4\/12 + 5*h**2. List the prime factors of l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + x - 5121 + 2523 = -2538, -4*x = -5*m + 54 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 5, n: 3, o: 1}. What is prob of sequence hhoj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 180*z - 7738. Calculate a(86).\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/3*c - 12*c**2 - 20\/3*c**3 - 4\/3*c**4 - 8\/3.\nAnswer: -4*(c + 1)**3*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1157673*-4\nAnswer: -4630692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 440 = 3*a, 2*q = 2*a + 2*a + 220. Suppose 0 = -0*v + 5*v - q. Let i = 39 - v. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1616*k + 1548*k + 2020*k - 8640*k - 7969*k to h*k + a and give h.\nAnswer: -14657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -36 + -7 - -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.972 to 2 decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.075 and 3869.86.\nAnswer: -290.2395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89)\/(11214\/(-420))*(-3)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -2026, 5, -6\/7, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7*t**2 - 4\/7*t**3 + 1\/7*t**5 + 0*t + 3\/7*t**4 + 16\/7.\nAnswer: (t - 2)*(t - 1)*(t + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*k + 17 = y, 0 = -3*k + 2*y + 11. Solve -2*c = -4, 0*x - 4*x = k*c - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 72 = -h, 0 = -3*h - 2*i - 3*i + 216. Suppose 2*a - 8*a + h = 0. What is the first derivative of a - 12*n**4 - 13*n**4 - 51 wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516*l**5 + 179*l?\nAnswer: -10320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -812.62455 + -888\nAnswer: -1700.62455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168087256.\nAnswer: 2, 3257, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:08 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/5 - 1876*t\/5 + 1874\/5 = 0 for t.\nAnswer: 1, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 4) + (5 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 97 - 297 = -86 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 10. Let i be f(7). Suppose 2*l + 0*m + m = 7, l - 2*m = i. Solve l - 1 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.3. Let j(s) = -13*s + 10. Let u(a) = -2*a**3 + 11*a**2 + 11*a - 29. Let n be u(6). Let q be j(n). What is the nearest to 1\/2 in l, 2, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 143*b + 2915. Let d(z) = -2*z**2. What is o(d(y))?\nAnswer: -286*y**2 + 2915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 254 - 77. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w + 5*w + w. Let f(c) = 7*c**2 - 10*c - 39. Let m be f(10). Let x = m + -560. Give z(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 4*j**2 - j. Let t be o(3). Suppose i - 3*i = t. Is -4 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 8\/17, -3?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18622 (base 14) in base 5?\nAnswer: 3432244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 2*b - 10 = 0, -3*b - 11 = -4*m. Let u be m\/(-6)*(8 + -8). Suppose 5*x + u*x = 1685. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 69. Suppose 3*r + i = -2*z + 136, -4*r = 5*z - 132. Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*o**3 - 2*o**2 - 67*o + 30288 wrt o.\nAnswer: 495*o**2 - 4*o - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3 - 43*t + 6 wrt t?\nAnswer: 3*t**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-2)\/(-14)). Let n(v) = v**2 + 4*v - 4. Let c be n(-4). Let q = s - c. Put -2, q, 3 in descending order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (700*(-77)\/21)\/(3\/1071). What is n rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, h: 1, k: 4, v: 5}. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - (140 - 56 - 57)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 37*u + 63*u = 174*u - 2204 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1.4\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-21 + -9)\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 4*g**5\/15 - 5*g**3\/2 + 5*g**2\/2 + g. Let t(d) be the first derivative of w(d). Find the first derivative of t(x) wrt x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 121*z**2 - 44*z + 2. Let c(h) = 242*h**2 - 85*h + 5. Let k(f) = 2*c(f) - 5*g(f). Find the second derivative of k(y) wrt y.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 525 and 20769.\nAnswer: 519225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 16*o**2 + 32*o - 2033. Is j(-90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 585*y**4 + 677*y**3 - 923*y - 292 wrt y.\nAnswer: 7020*y**2 + 4062*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 605472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*s + 1. Let r(o) = -4*o - 4. Let l be r(2). Let f(j) = j**2 + 11*j - 12. Let g be f(l). Solve s = -2*v, d - 5*v - 18 + 3 = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 7653030?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = 2*l - 10*t, 1 = l - 4*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/4 + 21*l**2\/4 - 3*l\/4 - 21\/4 = 0. Calculate l.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.238 - 1.928. Let o = 2.69 + c. Let z = -38\/33 - -9\/11. What is the second biggest value in o, z, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/4 + (-98)\/108*3 and 1 - (-106)\/(-32) - 0\/(-8).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b60a03 (base 12) to base 15.\nAnswer: -3b8476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5*n - 2)*(2*n**2 + 37 - 37)*(-2*n + 0*n + 0*n) as g*n**3 + d*n**2 + o*n**4 + j + q*n and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -7*j + 4*j. Let r = j - -212\/3. Let v = 0.1 - -0.9. Which is the closest to v? (a) 0.5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 13*x + 17. Let b be a(14). Suppose 2*u = r + u - 16, 0 = -r - b*u + 4. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707405, 1414828, 2122251, 2829674, 3537097, 4244520?\nAnswer: 4951943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16237 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1541.2 * -1.73.\nAnswer: 2666.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 4*u**3 - 2*u**3)*(-u**2 - 6 - 1 - u**2).\nAnswer: -4*u**5 - 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*0\/(-2). Let f be 2\/(-13) - (-4 - (-35888)\/(-52)). Suppose -5*d - 2*w + 1105 = z, -5*w = 3*d - 6*d + f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/360 - p**5\/80 - p**4\/144 + p**3\/24 + p**2\/12 - 74*p + 73. Let f(m) be the first derivative of q(m). Factor f(i).\nAnswer: -(i - 1)*(i + 1)**2*(i + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 42, 68, 96?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i - 75\/4*i**4 - 45 - 2\/3*i**3 + 25\/2*i**2. What is the third derivative of o(j) wrt j?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 68 = -3*n. Solve -v - 2*y = 3, -4*v + y + 2 = -n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 965121303*c**2 - 21*c + 1261089?\nAnswer: 1930242606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -213 (b) -1.925 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 96 = -288*q - 21 - 133 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = d + 2*s, 5*d + 30 = 4*s + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2587546 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 + 0*z**3 - 1\/42*z**7 + 5\/12*z**4 + 0 - 3*z + 0*z**5 + 0*z**6. Find the third derivative of l(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4)*(108\/15)\/(-9). Let y be -3*34\/24*h. Let b(a) = 10*a**2. Let i be b(1). Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2 - 6*d - 6. Let x(a) = a + 12. Let k be x(-9). Let y = -2 - k. Let z be c(y). Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1010?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29014223.9 rounded to the nearest 100000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 - 0.4. Let x = -3.9999 - v. What is x rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -35*j**2 - 3*j + 5. Let m(n) = -2*n**2 + 2*n - 2. What is -3*m(d) - p(d)?\nAnswer: 41*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 + 207. List the prime factors of (39\/x)\/(3\/(-16)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 1. Let r be ((-10)\/4)\/(9\/18). List the prime factors of d(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -72. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/60 + w**4\/4 + 6*w**2. Let r be i(5). Suppose -4\/7*u**4 - 2\/7*u**3 + 4\/7*u**2 + 2\/7*u**r + 0 + 0*u = 0. What is u?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*k - 220*k = 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 1135*t**3 + 293*t**3 + 2*t**2 - 8 - 105*t**3 + 40.\nAnswer: 1323*t**3 + 2*t**2 - t + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three quarters of a millennium?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f + 12. Does 19 divide m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220157195.\nAnswer: 5, 31, 1420369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -68. Solve -g + a = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 30*z**2 + 14*z - 6. Let m(w) = -10*w**2 - 5*w + 2. What is -6*g(a) - 17*m(a)?\nAnswer: -10*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0569 - 6.6719. Round c to 1 dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b + 0*b)*(-b + b - b + (-2 + 2 - 2)*(0*b + 6*b - 4*b) - 2*b + 4 - 4 + 11*b - 10*b + 16*b - 10*b - 5*b - 3*b).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -60 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -388700 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.13, -2\/21, 21\/575, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124348, -248701, -373056, -497413, -621772, -746133?\nAnswer: -870496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241363112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f + 6. Let o(c) = -2*c**2 + 2*c + 18. Let v(a) = -7*b(a) + 2*o(a). Factor v(m).\nAnswer: 3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 44*y + 63. Give b(16).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 + 4. Let m be h(-7). Suppose o = -4*f - 39, -6*o + 69 = -m*f - o. Let v(p) = 4*p + 38. Calculate v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/48)\/((-25)\/30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8839 - -0.1161. Which is the second biggest value? (a) -0.02 (b) -1\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 207*u - 53*u - 45*u - 52*u - 61*u + 7*u**2. Let w(c) = 10*c. Give s(w(q)).\nAnswer: 700*q**2 - 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 15\/4*b**4 + 3\/5*b**5 + 2 + 9\/2*b**2 + 7*b**3 + 0*b. Solve h(q) = 0 for q.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2128 by -8.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -1. Suppose 0 = -3*t + 2*o + 68, -2*t + 3 = 3*o - 25. Let v = 20 - t. Solve 2*n = 2*z + w, v = 4*z + n + 3*n - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -178393, -178574, -178755, -178936, -179117, -179298?\n\"Answer: -181*n - 178212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + 6 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 66 = -4*n, 5*n - 246 = -74*s + 78*s - 49 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 - 196.24. Let s = 3 + -7. Let j = h + s. What is j rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7564 and 1364.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 3 + 3 - p**2 + p**2 - 3*p**2 + (2 - 2 - 2)*(-2*p + 2*p - 2*p**2) + 11751*p - 11751*p - 485*p**2 as w*p + s*p**2 + v and give s.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 5}. What is prob of sequence zozz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 10*f**2 - 724*f + 5921. What is j(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3) - (-80432008)\/((-12)\/3). Round y to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 5, j: 2, p: 1, x: 1}. What is prob of sequence spj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004343 rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1901*f - 86. Let z be q(-14). Round z to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - 2*z**2)*(165 - 656 - 218).\nAnswer: 1418*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - 0.22. Let j = -11 + 9. Which is the nearest to 3\/7? (a) j (b) 3\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 207 from -1373748932.\nAnswer: -1373749139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1956 and 24?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195251009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3680930*r - 3681047*r + 6435 = 0 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4047*a - 259017. What is l(-64)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((1 - 13) + 28 + -23)) + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1145\/8 + 9733\/72. Calculate the common denominator of 99\/4 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 13.2, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 698 or -1\/3?\nAnswer: 698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(832) + 0 + sqrt(832))**2 - (-1*sqrt(832) + 2).\nAnswer: 8*sqrt(13) + 3327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 - -146. Let m = 38 - s. Solve -3*r + 2*t - m = 0, 3*r + t + 0*t + 19 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Let p be (-8)\/((-31)\/(-11) - s). Let c be p\/(-10)*150\/(-5). Calculate the greatest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q - 3 + 9 + 8 - 4*q.\nAnswer: 9*q + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*3\/(-6)*-2. Let p(s) = 66*s**2 - 5*s + 8. Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 4*b**2 + 6*b - 3. Let h be n(5). Let l be (10\/(-15))\/(h\/(-9)). Let r be 7 - l*(0 + -1). Solve i + 4*i = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfwwwwfwwwwfff. Give prob of picking 3 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498796250 to the nearest integer?\nAnswer: 38714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 0.0099642. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -67\/2236?\nAnswer: -67\/2236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 16*r + 17. Let x be c(-15). Suppose 0 = -4*n + 11 + 5. Let w be (-6)\/(-4)*n - 2. Solve -x*m = -w*y + 30, 3*y - 13 - 2 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/21)\/a**(-1\/29)*(a**(-13)*a)\/(a**19*a*a) assuming a is positive.\nAnswer: a**(-20047\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 22*q - 27. Let h be x(6). Let z(u) = -3*u**2 - 6*u + 3. Calculate z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*j + 0 + 169\/3*j**2 + 18*j**3 - 1\/3*j**4.\nAnswer: -j*(j - 57)*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19577 = -22*q + 53771. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36483 and 13.\nAnswer: -36470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -47\nAnswer: -36\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10168554, 40674217, 91516988, 162696867, 254213854, 366067949?\n\"Answer: 10168554*a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -2) + (-4 - -50).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3731 - -3734. Put 405, x, 4, -4 in decreasing order.\nAnswer: 405, 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x + 9*x = -53*x + 285 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*o + 7, 3*g + 4 = o - 3. Let y be 4\/((1 - 0)\/g). Let c = y + 4. Which is greater: 4\/7 or c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-21)*(-21)\/14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 13*t + 7. Let k(f) = 3*f**2 + 12*f + 8. Let g(r) = -4*h(r) + 5*k(r). Suppose -14 = 2*m - 0*m. Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 4. Let q be p(3). Let j = 11 + q. What is the smallest value in 2\/5, j, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 61 + 22*h - 43 + 39 + 28. What is the hundreds digit of y(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/613?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486274?\nAnswer: 2, 243137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/sqrt(4))\/((-4*sqrt(2) + sqrt(2))*5))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270886.\nAnswer: 2, 7, 11, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-32))\/((-9)\/(-24)))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011021 (base 3) in base 7?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -151*c + 147*c. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 6*g**2 - 2*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**(7\/3)\/(a*a**(-2\/9)*a)**(-5\/3) assuming a is positive.\nAnswer: a**(274\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -3. List the prime factors of (-390 + -8)*(s\/2 - -2).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 11 - 367*d**2 + 2 - 42*d**2.\nAnswer: -409*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o*o\/o**(2\/13)*o**(-15)*o*o**(-1\/14))**(-24) assuming o is positive.\nAnswer: o**(9228\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -66085 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12*t - 3. Determine d(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 3*d - 6. Let y(m) = -1. Let x(k) = k**2 - k + 5. Let b(z) = -x(z) - 3*y(z). What is 11*b(q) - 4*c(q)?\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5)\/2 - (-588)\/168?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238991 to the power of 1\/2, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {e: 5, h: 4, w: 8}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-9*(-5)\/(-480).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9692.567 rounded to the nearest 10?\nAnswer: -9690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/90 + (-2)\/(-4). Let a = v + -1\/9. Is 2 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 4, t: 1, h: 2}. What is prob of picking 1 f and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 15. Let m be q(-5). Suppose 0 = m*k + 4*n + 1701, -3*k - 1031 = -0*k + 5*n. Let x = -202 - k. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 19, -100, -261, -458, -685, -936?\n\"Answer: j**3 - 30*j**2 + 12*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 167\/12 - (-368)\/4416. Solve -p + 4*u - z = 0, 0*p + u + 6 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:33 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19228 (base 14) to base 5\nAnswer: 4013130","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 34 (c) 25839\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/20*(7 + 2\/(-2)). Suppose 2*s - g = 251. Suppose 5*c = -p + 244, p - 89 = 3*c - 229. Calculate the remainder when s is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.83601 to one decimal place.\nAnswer: 136.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 50*y**3 + 19*y**2 - 38*y + 782. Let i(x) = -8*x**3 - 3*x**2 + 6*x - 130. Give 38*i(l) + 6*z(l).\nAnswer: -4*l**3 - 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:43 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 2. Let v be a(1). Suppose 0 = -5*r + 5*q + 100, 5*q = -v*r + 54 + 6. Calculate the remainder when 56 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(40)\/sqrt(5)) + -2 + sqrt(363).\nAnswer: -2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/36 + 1\/12. Find the common denominator of (828\/1160)\/(((-960)\/(-50))\/8) and n.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 - 16*u + 4. Let q be j(-10). Let o = q - -29. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 11*f + 435 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 541 + -538. Let v(o) be the second derivative of 0*o**k - 16*o + 0 - 1\/90*o**4 + 1\/15*o**2. Factor v(c).\nAnswer: -2*(c - 1)*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282713.\nAnswer: 282713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -46*s**2. Let g(u) = 23*u**2. Determine 5*g(l) + 3*j(l).\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -m*f - 35 = 10. Calculate the remainder when (46\/(-6))\/(1\/f) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/3828 and -73\/1972?\nAnswer: 65076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592, -585, -568, -535, -480, -397?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 429.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g - 5*c - 20, 5*c + 16 = g. Is ((-416)\/(-12) + g)\/(1\/111) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -962 + 1971. Calculate the common denominator of -95\/104 and u\/(-198) - ((-144)\/66)\/(-12).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/65 (b) -1\/3 (c) -2\/7 (d) 17.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1 + p**2 + 9*p**2 - p**2 + p**3 - 11*p + 0. Let j be q(-10). Let b = 109 - j. Round b to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/28)\/(645\/19866).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -234 + 74 + 138 + 63*l in the form b*l + z and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7593.671.\nAnswer: 2278.1013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 * 0.06\nAnswer: -0.0636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by 58\nAnswer: -41\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18bb3e (base 16) in base 6?\nAnswer: -54423410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, -1, 1, 0.0691?\nAnswer: 0.0691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2\/33, 2\/7, 0.13 in descending order.\nAnswer: 4\/5, 2\/7, 0.13, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 4.15, -387, 1\/3, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a8 + -6?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -47284 greater than -47285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3703 and 1058?\nAnswer: 7406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - ((sqrt(204) - (sqrt(204) + (-5*sqrt(204)*-6 - sqrt(204)))) + sqrt(204) - sqrt(204)))*6*4)\/(-1*2*4*sqrt(588)))**2.\nAnswer: 137700\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-11) - (-1755)\/33. Let m be 9\/54 - i\/(-6). Let h be (-12)\/30 - 362\/(-5). What is the greatest common divisor of h and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + y**2 - 4*y**2)*(-147*y - 10*y + 28*y) to h + b*y + d*y**2 + a*y**3 and give a.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0.7. Let w = x - 1.1. Let i = w + 0.2. Is i < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 + 3. Let a = 4.01 - 0.01. Let f = 13 - 13.4. What is the smallest value in a, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 7) to base 5\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-8))\/(3\/(-3)). Sort 0, t, -70 in ascending order.\nAnswer: -70, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -11*z + 17. Determine c, given that -2 + 112*c**3 + 10 + 16*c**2 - 116*c**z + 0*c**2 - 20*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 - 9*d**3 - 51*d**3 - 1132*d**2 + 1132*d**2.\nAnswer: -66*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11977 divided by 6?\nAnswer: 11977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, g: 1, a: 1, i: 4}. What is prob of sequence iff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.17123 kilometers in nanometers?\nAnswer: 36171230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:58 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 232421675039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdbcdccddbbccccbccc. Give prob of sequence ccdb.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 8*c - 2. Let t(v) = -v**3 + v - 1. Determine -2*t(r) + x(r).\nAnswer: -r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*s - 15, -275 = 5*s - 4*i - 320 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 98.87117m?\nAnswer: 9887.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:35 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 470 - 469.4. Put 0.3, -0.1, b, -0.4 in ascending order.\nAnswer: -0.4, -0.1, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 2*k + 2*k + (-k - k + 4*k)*(-k - 3*k + 5*k) + 2*k**2 - 2*k**2 - k**2 - 3*k**2 + 7*k**2 + 0*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1, 0.08, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-81*10\/(-4320))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 917 * 0.4.\nAnswer: 366.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 3837*d**2 - 515223*d - 17610939.\nAnswer: -(d + 69)**2*(d + 3699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 4. Let g be c(3). Let j be (-9)\/(-6)*g\/3. Let y(q) be the second derivative of q**3\/3 + 3*q**2\/2 + q. Calculate y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 79*i - 5604. Give d(124).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1551*n - 56927. Suppose -3*a = -6, -5*a - 178 = -3*d + 10. Calculate the remainder when g(-37) is divided by d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vjjvvffvfvj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661524257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 8, 2\/13, 1, 2\/3, 1.63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 - 15. Let z(d) = 7*d**2 - 10. Let t(f) = -5*u(f) + 8*z(f). Let v be 7*(0 + (-2)\/(-2)). Is t(v) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 9*t + 11. Let r be b(-8). Let w be (1 - 3)*(-4 + r). Suppose g = 1, 2*c + 36 = 3*c + w*g. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.252479641931 + 4\nAnswer: -1.252479641931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2869713 by -28413.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7)\/t**(-4))\/((t\/(t\/(t*t**(-2\/9)*t)))\/(t**(4\/7)\/t)))**(1\/15) assuming t is positive.\nAnswer: t**(131\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 100*o**2 + o + 852. Let j(f) = -4*f**2. Calculate s(j(u)).\nAnswer: -800*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((336\/(-2548))\/((-2)\/(-7)))\/(-3)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*s + 3 = -260*s - 4*j + 15, -j + 3 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 1. Let d(j) be the first derivative of -2*j**3\/3 - 39. Calculate n(d(f)).\nAnswer: 10*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + 180\/48 + 2\/8. Suppose -2*o = 3*j + 117 - v, j = 5*o - 11. Which is smaller: j or -30?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.61 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*z - 33. Let r = 33 - z. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -60, 2*d + 216 = 4*z + 16*d - 84 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 8. Let t(n) = -n**2 + 50. Determine t(o(d)).\nAnswer: -4*d**4 + 32*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82029*a**4 + a + 107925.\nAnswer: 328116*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 34348124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -21*a**4\/2 - 536*a**3\/3 + 668453*a**2\/3 + 4705276*a\/3 + 49679\/2 = 0.\nAnswer: -151, -7, -1\/63, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4247 and 1918.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + 3*sqrt(96)\/sqrt(6) + sqrt(16))\/(sqrt(8) - sqrt(48)\/(sqrt(6)*1) - sqrt(8))*1.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/5 (b) -6\/17 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - n + 7 = 0, 3*n - 5*n + 6 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -0.0734?\nAnswer: -5.0734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1917588 at least 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*-2*(-27)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 31 + o**2 - 15 + 51. Let r be y(0). Is r - (-6)\/9*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - l + 5*u, 0 = 5*u - 5. Suppose l = 3*y + 2*f - 4, 2*f + 8 = 5*y + 5*f. Calculate the highest common divisor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (9 - 5) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 less than 699161?\nAnswer: 699228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**3*p)\/p*p)\/(p\/(p\/p**(-4))))\/(p**(-2\/3)\/p*p)**(-20\/13) assuming p is positive.\nAnswer: p**(272\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*s**2 - 5*s**2 + 13*s**2)*(21 - 21 - 15*s**2)*(5 - 1 - 6)*(17 - 5 - 4)*(4 - 2 - 3) in the form i + q*s + w*s**4 + a*s**2 + o*s**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + s**4 - 2 + s**3 + 3*s - 2*s**2 + 7*s**2 as z*s**4 + c*s**3 + n*s + a + g*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.1 + -41.8. Let b = 0.14 + -0.07. What is the biggest value in b, -2, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 6. Let w be o(-5). Let j be (0 - -2)*(-90)\/w. Let f be j\/(-30) - (-28)\/(-18). Is -1 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.4727 rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/(1\/(-6)). Suppose 0 = s + 4*y - 21 - 18, g*s - y = 33. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/15, -0.3, -7\/180?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**4 - n**2. Suppose -s = 4*s. Let w = s - 1. Let x(b) = 3*b**4 - 2*b**2 - 2. Let o(r) = w*x(r) + 2*z(r). Differentiate o(m) wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(73*x - 28*x - 28*x) + 0*x + 0*x + x + x - x + x + (2*x - 3*x + 3*x)*(3 + 3 - 4) + 0 - 2*x + 0.\nAnswer: 55*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36.1 (b) 0 (c) -13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-160)\/(-12) - 2\/6. Let b(o) = o**2 - 12*o - 7. Let w be b(d). What is the third derivative of w*x**2 + 2*x**4 + 0*x**2 + 0*x**4 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2459424032 to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3164 + -1564. Round f to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let f(o) = -6*o - 9. Let i(c) = c**2 + 5*c + 10. Let s(w) = -w + 1. Let v(q) = -i(q) + 2*s(q). Let x(h) = -2*f(h) + 3*v(h). Factor x(k).\nAnswer: -3*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7155\/52 - 19853\/156. Determine t, given that 10 + 1\/3*t**2 - k*t = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.54 rounded to 0 dps?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 75. Solve 4 = c*l - 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + r**3 - 4*r**3 - 33*r**3.\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -17*y - 5*z - 87979995, -z - 175959999 = -4*y. What is y rounded to the nearest one million?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w - 60. Let k(y) = -18*y - 120. What is -2*k(j) + 5*n(j)?\nAnswer: -14*j - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 17556?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2. Let q(b) = -b**2. Let c(g) = 4*h(g) - 14*q(g). Let d(f) be the third derivative of f**4\/8 - 2*f**2. Give d(c(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -582 and 1574887 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362279756 is divided by 752.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = 2*i - 5*x, i + 3*x - 28 = 0. Let t be 120\/i*(-44)\/(-3). Suppose 3*c - 2*r - 114 = 0, -2*r = 3*c - t - 4. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -16*u**2 - 31*u - 20. Let d be s(-2). Is d greater than or equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 32*h + 34. Let f be d(1). Solve -32*s + 9*s - 69 = f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 10. Let k = 74787\/22 - 3403. What is the common denominator of k and (a\/(-16))\/((-22)\/(-204))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -4613\nAnswer: -4613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7120*b**2 - 5653*b**2 - 54*b + 92*b - 38*b to the form j*b + f*b**2 + z and give f.\nAnswer: -12773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*3.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*t**2 - 4*t**2 + t**2 - 5*t**2 as m*t + u + o*t**2 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -176, -492, -1098, -2138, -3756, -6096, -9302, -13518?\n\"Answer: -24*y**3 - y**2 - 145*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 33*g + 15. Let m(u) = 2*u**2 + 4 - 2*u - u**2 - 4*u - 2*u. Let q(j) = -9*m(j) + 2*x(j). What is q(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -437 - -475. Let n(q) = q**2 + q + 25. Let d be n(0). Let t = d - x. Sort -1, 0, t in increasing order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4319 = -3636*j - 79*j - 77411 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*r*s**2 - 279*r*s + 2*r + 13*s**2 + s wrt s.\nAnswer: 26*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 19 + 4 = 0. Suppose 0 = s*i - 5*y + 37, -2*i - 48 = -5*y - 15. Sort i, 3, -10, -2.\nAnswer: -10, i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in 4, -1\/7, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 663737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87432990, -87432986, -87432980, -87432972, -87432962, -87432950?\nAnswer: -87432936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 4*i + 12. Let n be w(3). Solve -x = -8 + n, 5*v - 2*x + 14 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-14\/5)*a)\/a*a**(-3\/23)*a)\/(a\/((a*a**(-6)\/a*a)\/a))**14)**(5\/9) assuming a is positive.\nAnswer: a**(-11492\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11989 + -11989.5. Which is the nearest to 0? (a) -41 (b) 0.1 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 42 = 2*l - 6*l, 3*l + 3*v - 36 = 0. Solve 2*n - j + l = 2*j, 3*n = 2*j - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -706*h - 8997. Does 114 divide t(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2288.61 + 0.182600906.\nAnswer: 2288.792600906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*b + 4*w + 1, -5*w = -3*b + 11. Suppose -p + b*p - 3 = 0. Suppose 3*t + 3 - 195 = -p*h, 3*t + 2*h = 187. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71724*q**2 + 349*q - 122.\nAnswer: 143448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 9. Let g be d(11). Suppose -6 = -g*k + 4. Do 5 and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.046 and 972882.\nAnswer: 44752.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 5131285*p.\nAnswer: 5*p*(p + 1026257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.405 + 0.605. What is the closest to w in 1.1, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.059999605 - -1.06. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, -2, 5, 1\/7, 759?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 11*f**8\/48 + 71*f**4\/24 - 2*f**2 - 18. Find the second derivative of h(k) wrt k.\nAnswer: 1540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(396)*-5 + 5.\nAnswer: -60*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/24 + 3*j**3\/2 - 3*j**2. Let r be s(9). Let m = -205\/104 - -24\/13. Are r and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-3 + (-28)\/(-8) + 2). Solve i = -4*i + x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 2602325886620.\nAnswer: -2602325886620.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 18*o - 14. Let w = o - -3. Solve w*i - 2*i - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(5\/(-300)). Let j = c + 43. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*j**3 + 13 + 577*j**3 + 269*j**3 - 13 + (-j - 2*j + 2*j)*(2*j**2 + 2*j**2 - 3*j**2) as k + p*j**2 + x*j + s*j**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*v + 2*v**2 + 13*v**2 - 60*v - 54*v + 165*v to a + o*v**2 + g*v and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261.4 - -261. What is the closest to -1\/49 in s, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 222 - 217. Is 19 a factor of -570*(c - (-2 + 148\/20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000327792088 to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08175 + 14.61825. Let g = -5.32775804 + -9.37223952. Let p = c + g. What is p rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1612 + 11324\/7. Find the common denominator of 124\/18 - (-2 - -1) and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 969\/(-136)*284\/(-426)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Suppose -2*y - 4 = 2*h, -h - 4*h - 2*y - 4 = 0. Suppose h = -3*m - 34 + 43. Solve r = -m*z + 4 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61959, 61961, 61963, 61965, 61967?\n\"Answer: 2*w + 61957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:53 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1586, -1656, -1772, -1934, -2142, -2396?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u - 4. Let q(g) = 4*g**2 + 8*g + 26. Let p be q(-3). Suppose -32 = -14*d + p. Let j(h) = h**2 + 2*h - 5. Give d*j(s) - 6*r(s).\nAnswer: -s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1890400 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 18*a - 7112 = 0. Let f = 920 - a. Calculate the remainder when 78 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4. Suppose 4*s - 4 + 0 = 0. Let r(h) = -h**2 - 10 + s - h**2. Determine 9*i(v) - 4*r(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3 + 309 - 127 - o**3 + 116 - 7*o + 2*o wrt o.\nAnswer: 3*o**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108, 192, 266, 324, 360, 368?\n\"Answer: -u**3 + u**2 + 88*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511900.\nAnswer: 2, 5, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105709 is divided by 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. List the prime factors of (-25)\/(-10)*26\/b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -2076 - 1290. Calculate the greatest common divisor of z and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 4318*w - 1497995. What is v(856)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o - 3*i + 5, 4*i = 5*o - 24. Suppose 0 = -2*r - f - 11, 2*r + 2*f + 1 = 3*f. Put o, 0, r, -1 in descending order.\nAnswer: o, 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 292\/5. What is the closest to -2\/3 in 3, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**3 + n**2 + n + 1. Let m be (-29 + 5)*6\/8. Let d = 17 + m. Let x be q(d). Which is the biggest value? (a) 2\/15 (b) x (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1)*-4)**2.\nAnswer: 128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0342611492 and 2.3.\nAnswer: 2.3342611492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + 20 - -28)\/((-6)\/4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v**2. Let j be x(1). Suppose 0 = -0*r + 2*r - j. Let p(k) = -6*k**2 - k + 1. What is p(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/7, 2\/5, 1, 0.00061 in decreasing order.\nAnswer: 3, 1, 3\/7, 2\/5, 0.00061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 11243 - 11252 - l**2 - 18*l to the form y*l**2 + t*l + k and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/6)\/((77\/(-42))\/(-11)). Suppose -3*p - 9 = -w, 11*w = c*w - p + 57. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29191340 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (-11 + 15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.8 + -7.3. What is the closest to 3 in a, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 18*u + 40 = -22*u, 0 = 4*o + 3*u - 68. Let j(f) = 3*f**2 + 10*f - 1 - 5*f**2 + o*f - 27*f. Calculate j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*m**3 - 19*m**3 + 11*m**3 + (m - m + 2*m)*(0 + 0 + m**2) + 2*m**3 + 1 - 1 + (2*m + 0*m - 3*m)*(-m**2 + 3*m**2 - m**2).\nAnswer: 89*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 - -147. Let s = -116 - f. Let l be (12\/16)\/((-5)\/(-580)). What is the greatest common factor of s and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpu. What is prob of sequence mu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/5 - 166*l**4 - 59442*l**3\/5 - 177746*l**2 - 672400*l + 862200 = 0.\nAnswer: -45, -10, 1, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 4\/54 + (-49152)\/(-1296).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 67*g + 7859. What is the smallest common multiple of 336 and s(-117)?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, 30 in ascending order.\nAnswer: -7, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*s - 10, -65*s + 137*s = 2*v + 70*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(4 - 12\/3). Sort 2, z, -1\/6 in descending order.\nAnswer: 2, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - 183. Let k = 7 + -17. Let x = k + 7. Which is the closest to 0.25? (a) x (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/((-3)\/36). Suppose 3*f - 2*p = 71, -y*f - 4*p + 64 = p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(8\/(-5))*4\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3850 and 450250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13041866440.000004 + -13041580880. Let g = -285559 + o. Let l = g + -1. What is l rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 * -14219933.\nAnswer: 46925778.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1081, -4180, -9345, -16576, -25873?\nAnswer: -37236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + u + 2. Let i(l) be the second derivative of 3*l + 0 - 1\/2*l**2 + 1\/6*l**3. What is 2*i(x) + j(x)?\nAnswer: 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**2 - 237642*t - 2891075?\nAnswer: -4*t - 237642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*l - 9, 4*g - 4*l = 48776. Let b(r) = 132*r**2 + 4*r + 12. Let x be b(-5). Let a = x - g. Round a to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.8. Let b = 0.2354 + -0.1354. Sort v, b, 1, 2\/7 in increasing order.\nAnswer: v, b, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4929\/10 + 493. What is the closest to 1\/2 in 3, 5\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966\/(-69)*(7\/(-28))\/((-1)\/8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 8:05 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8736)\/(-260))\/84)\/(240\/20).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Let p(g) = 9*g**2. Let c(v) = v**2. Let b(i) = 33*c(i) - 4*p(i). What is j(b(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -213 - 191 + 75*j**3 + 510*j**3 - 1198*j**3 wrt j?\nAnswer: -1839*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1607, -4, 9 in decreasing order.\nAnswer: 9, -4, -1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19115?\nAnswer: 5, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 110755\/77 + 8\/(-28). Let c = t - 1433. Calculate the common denominator of 104\/6 - (1 - -5) and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycccccccccy. What is prob of picking 2 y and 2 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 16050*m = 16049*m + 12, 2*m = 3*j + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzzttzzztzt. Give prob of picking 2 z.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Let i(m) = m**3 - 3*m**2 + m - 3. Give i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a - 49*a + u + 7 = 0, 2*a + 5*u = -29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + (2 - -2 - 7) + -46\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Suppose 158 = d*s - 73. Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -6.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655292 is divided by 778?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.6446ns in seconds?\nAnswer: 0.0000005056446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*f + 109 = -1049 + 201 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2306, 1934, 1560, 1184?\n\"Answer: -p**2 - 369*p + 2676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 10 = 0. Sort -1, l, 10 in descending order.\nAnswer: 10, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) + 135\/10. Let j(r) = r**3 + 18*r**2 + 16*r - 15. Let w be j(-17). Solve a = -w*a - u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-4)*(-1580)\/(-56485)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(343))*3 + (sqrt(343) - (sqrt(343) - (-1*sqrt(343) + 3)))*-2)**2.\nAnswer: -2688*sqrt(7) + 87952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 21635*n**3 + 2*n**2 + 21600*n**3.\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1224) - sqrt(34))*-3*-1*6)\/(3*sqrt(450)*5).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2408640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/111 - -338\/3663. Let r = h - -188\/495. Is r at most 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -774 > -738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10938\/(-8)*(-2)\/222. Let f = -53\/37 - x. Calculate the common denominator of f and 93\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 31. Suppose 2*j + j = -4*q - x, 5*q - 5*j = 25. Let y = -1685\/9 - -187. Do q and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 45 - 42933*v + 21605*v + 21378*v. Let i(l) = -2*l - 2. Let x(p) = p + 1. Let n(r) = 6*i(r) + 11*x(r). Give 90*n(q) + 2*u(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 5*k. Let z be 141\/27 - 2\/9. Let r be w(z). Suppose 0*i + 2*i - 34 = r. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 11*n**2 + 13*n + 14. Let r be h(-12). Let w be 0 + -2*1\/r. What is the closest to w in 4, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084299?\nAnswer: 383, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**28\/(f*f\/(f*f\/f**(-2)*f))**(11\/9)*(f**1\/f)**(-1\/60)\/(f\/(f*f**4)*(f\/((f\/f**(1\/2))\/f*f))\/f*f) assuming f is positive.\nAnswer: f**(551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0.5, 5, 4, 0.1, 15\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*u - 15 = 0, 63*u + 30 = 58*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -29. Let s = t - -7. Calculate the lowest common multiple of 86 and s.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 + 4384*x**2\/7 - 26358*x\/7 + 5652.\nAnswer: 2*(x - 3)**2*(x + 2198)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68922574 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.218 less than 0.83?\nAnswer: 224.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1966341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/5 - r**4\/12 - r**3\/6 - 3*r**2. What is the units digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11030 (base 4) in base 3?\nAnswer: 110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 23*a**3\/3 - a**2 - a + 3. Let w be b(-1). Factor -w*l**2 + 0*l**3 - 6*l**3 - 8*l**3 - 6*l + 4.\nAnswer: -2*(l + 1)**2*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2612453 (base 9) to base 15\nAnswer: -1d25cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.2, 3, -3, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0.2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 111*c - 9. Let n be r(36). What is the greatest common divisor of n and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -397, -2, 1.\nAnswer: -397, -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -155, -325, -561, -863?\n\"Answer: -33*a**2 - 5*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14901 - 30053 + 14780 - 7*i**3 as u + w*i**3 + v*i**2 + r*i and give u.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 2047.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 34 - 37*y)*(1 - 1 + 1 + (0 - 4 + 3)*(-1 - 1 + 0) - 4 + 1 + 2 + 0 + 2 - 3)*(55 + 60 - 129)*(-4 + 4 - y) as c + q*y + w*y**2 and give w.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*5\/(-100))\/(((-25)\/2)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6129128 is divided by 102152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:55 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5)*(-20)\/(-6). Suppose -5*c = i - 20, 3*c - 8 = 4. Solve g = -u - i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/15 + 6\/5. Let p(b) be the second derivative of -i*b**3 + 0 + 0*b**2 + 0*b**4 + b + 1\/20*b**5. Find the second derivative of p(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 51*t - 549. Determine f(-37).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*h - 61405 = -10112 + 28687. What is the greatest common divisor of 1505 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2652804 and 847.\nAnswer: 2652804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 32*i**2 - 162*i - 108. What is m(-26)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 14*r + 21. Let b be o(6). Find the common denominator of 40\/7 and 2 + 198\/87 + b.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 315\/(-378)*366\/315 and -37\/357.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-8))\/(135\/18))\/(6\/(-45))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 32 = -3*b, 3*j - 26 = b - 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 83811 = -175089. Let u = -691907161\/18 - -38417705. Let m = u + g. Calculate the common denominator of 149\/6 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -7 + -1 + 4. Suppose y - 48 = 3*z, 3*z + 55 = t*y - 53. Suppose -10*l + 7*l = -y. What is the least common multiple of l and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k - 3 + 1\/2*k**2. Let v(o) = 3*o. Calculate i(v(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*t - 93*t**2 + 184*t**2 - 92*t**2 + 6.\nAnswer: -t**2 - 164*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 9) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - (-2*sqrt(2))**2) + -2 + (sqrt(200) - (sqrt(200) - sqrt(200)*-2))**2 + -5 + (sqrt(126)\/sqrt(28) - (1 + sqrt(72)\/sqrt(4)))**2.\nAnswer: 4*sqrt(2) + 1575\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4093 - -4092.992362. What is i rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 169 = -5*b, 0 = -3*i + 2*i + b + 51. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o - 309 + 27 = 432 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 324 + -363. Calculate the remainder when p\/(-4*6\/24) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = r, 21*h + 6*r + 11 = 22*h. Solve h*y = 3*k + 37, 5*y + 17*k - 13*k - 9 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*r - 2666 + 1990 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5*122063\nAnswer: 610315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67931 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80))**2*4 - ((sqrt(80)*-1)**2 + 5).\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 4 + (-23)\/(-1). Suppose -o + 3*r = -d, o - 10 = -0*r - r. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 976 = -43*s + 45*s, 3*s - 2*u = 1496. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21162126 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 1. Let o(h) be the third derivative of -7*h**4\/12 + h**3 - 78*h**2. Let t(m) = -o(m) - 6*z(m). Let l(g) = -29*g - 26*g + 11*g. What is l(t(x))?\nAnswer: -88*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*6)\/(-2*sqrt(45)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmnnmww. Give prob of sequence mnn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**2\/2 - 13*p + 2. Let l be c(13). Suppose 0 = -2*f - l*f - 8. Which is greater: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 8*p - 7. Let i(d) = 2*d**2 + 8*d + 6. Suppose -8*b + 4 = -6*b. Let s be b\/6 - 17\/(-3). Let v(g) = s*l(g) + 7*i(g). Factor v(w).\nAnswer: -4*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 35. Let a = w - 33. What is the fourth biggest value in 0.01, -3, a, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.10246 + -0.39754. Let t = -9 + 12.2. Let l = 0.2 - t. Which is the closest to -0.1? (a) l (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/30 and 50\/75 - 67\/(-120)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247598493 to the nearest integer?\nAnswer: 15735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnbmbbmbmmnnm. What is prob of sequence bm?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17673 <= 618602\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + -1*(sqrt(405) + (sqrt(405) + -2 - sqrt(405))) + 0)*-6)**2.\nAnswer: 648*sqrt(5) + 14616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5\/10 + 3914*n**4\/5 - 1340577*n**3 - 3856413914*n**2\/5 + 7726225771*n\/10 = 0.\nAnswer: -451, 0, 1, 4139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.275 - -0.075. Let v = z - -1.2. What is the nearest to 1 in -0.4, v, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 a factor of 112397910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, f: 6, s: 1, n: 3, e: 3}. Give prob of sequence nenf.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -104056306?\nAnswer: -104056300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 - 2*t + 8. Let w be l(-2). Calculate the common denominator of 61\/63 and (w\/112)\/((-18)\/(-917)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15*(-6)\/(8 - -40). Which is greater: n or -45?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1168*m = 1128*m - 20968613 + 70347373. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -161 (b) 0.2 (c) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 430246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -14. Suppose -8 = -2*y, b = 2*g - y - 0*y. Calculate the smallest common multiple of g and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 50\/1812179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39465 take away 773342?\nAnswer: -812807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26738516.\nAnswer: 2, 7, 136421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 520031327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 113668325 and -35078.\nAnswer: 113633247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(450) - (sqrt(450) + 0)) + sqrt(450) + -2*(sqrt(450) - (sqrt(450) - (-1*sqrt(450) + sqrt(450) - sqrt(450) - sqrt(450))) - sqrt(450))**2.\nAnswer: -8097 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 5. Let f be j(0). Let x(c) = -8*c + 16. Let a be x(f). What is the derivative of -a - 2*b - 6*b**3 + 64 + 2*b wrt b?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 3*v + 19*v - 8*v - 3*v - v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.04. Let p = k - 0.18. Let u = p - -0.15999987. Round u to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)\/r*r*r)**8*((((r**(1\/5)\/r)\/r*r)\/r)\/r)**(-1\/15) assuming r is positive.\nAnswer: r**(2414\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 32364?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/27359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/5, 1\/20, -3\/8?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*c - 66*c = -119 - 172 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-18) - -3)\/((-33)\/396)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 - 206. Sort q, -113, 2 in decreasing order.\nAnswer: 2, q, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3492)\/(-20) + 4\/10. Let d(k) = 4*k + 1. Let q be d(6). What is the greatest common divisor of q and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 0*l**2 + 1\/3*l**3 + 0*l + 0*l**4 + 3\/5*l**5 + 7. Find the third derivative of y(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(133) + sqrt(133)*4)\/sqrt(7))**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 8, 0*h + 3*h - 11 = m. Let r(j) = 201*j**3 + j**2 + 2*j - 3. Does 6 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, 15, 316, 813, 1506, 2395?\nAnswer: 3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 22*f + 363 = 0. Is 7 a factor of (-218)\/(-6) + f\/9 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1175 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -144*x**2 + 18*x + 27. Let c(s) = 29*s**2 + s - 1. Let z(o) = 15*c(o) + 3*n(o). Solve z(i) = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:32 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. What is the nearest to -2\/3 in y, -4\/7, -2\/15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 406811944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 21. Let d = s - -29. Let y = d - 8. What is the remainder when y is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*k = 22, 21*k - 26*k = -w. Suppose 5*f + 4768 = -z + 14426, w*f + 2*z = 9661. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12189 hours in nanoseconds?\nAnswer: 4038804000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f + 27 = a, a = 4*f + 22. Let k = -3 - f. Let m = -7 - -12. Solve n = k*n - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.716698 millilitres?\nAnswer: 0.007716698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 528*z - 534. What is s(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17183\/3 + -5723. Which is the fourth smallest value? (a) 3\/5 (b) 2\/9 (c) -0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125.6 + -143. Let s = k + 17. Let z(h) = -h**3 - 4*h**2 + 3*h + 9. Let o be z(-4). Which is the second smallest value? (a) -4\/3 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t = -49267 - 69765, 198382 = 5*f - 4*t. Is f a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1372)\/(-70))\/((-3)\/(-15)). Solve -96*q - 6 = -f*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(27\/(-6)))\/(248\/(-24)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009138 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1228545?\nAnswer: -1\/245709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 15}. Give prob of picking 1 r and 1 a.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + g**2 + 0*g**2 + 8 to the form r*g + b + a*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2. Let t(c) = -595654*c. Determine t(z(v)).\nAnswer: -2978270*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3 + 46168*t**2\/5 + 6157*t\/5 - 3078\/5 = 0. What is t?\nAnswer: -1\/3, 1\/5, 3078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55015 + -3?\nAnswer: -55022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 6 + 4)*(0 - 2 + 0) + 7 + 8 - 6)*(2*j - j + 0*j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (548 - 1092 - 3308*h + 547)*(0*h - h + 0*h) as k + n*h**2 + f*h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -p + 38. Let a = -10 - -1. Calculate the least common multiple of 10 and (0 + p)\/(a\/(-63)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -7063 + 7105. Solve 16 + 12 = -r*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 plus -179?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 2. Let l(j) = j - 13. Let b be l(7). What are the prime factors of d(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 62 = -l. Let d(x) = 35 - 4*x - 62 + 0*x**2 + l + x**2. Let w(f) = f**2 - f + 1. Calculate d(c) - 4*w(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 101*a - 3 - 182*a - 369*a as u + y*a and give y.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + 3. Let r = o + -6. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {c: 2, l: 1, g: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1010101111000111 (base 2) to base 12\nAnswer: -21547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 152 = -3*q. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494763 is divided by 528?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w = -52*w - 69. Solve -5*l - 2 = 2*a, l = 2*a - w + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 20*i**3 + 11*i**2 + 22*i**3 to the form b*i**3 + r*i + t + c*i**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6461 - 6443. Solve 3*l + 4*s = -29, h*l + 8 = 17*l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 43, 5 in increasing order.\nAnswer: -0.1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1595, -1453, -1311, -1169, -1027, -885?\n\"Answer: 142*f - 1737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10277278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 - 2 + 6 - 87*o**3 + 5*o + 89*o**3. Let h(y) = -21*y**3 - 49*y - 49. Calculate 5*h(c) + 49*x(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 17, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19452955*j*o**2 - 20*j*o + 6*j - 6*o**3 + 202*o - 20 wrt o.\nAnswer: 38905910*j - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + -4. Let y = -50 - -56. Suppose 2*b = 2*h - 14, b - 3*h = -11 - y. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 54*g**2 - 10*g - 4. Let k(z) = 271*z**2 - 51*z - 22. What is -11*h(f) + 2*k(f)?\nAnswer: -52*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -12)\/(1\/(-5)). Suppose 4*m + 2 - d = 0. Solve -j + 3*j - 2 = 5*h, h - m*j + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/4, 1\/7, 90, -2\/9, 0.5, -2, 13.55?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/7 - 23112\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 59*d - 17. Let k be w(-20). Let q be 0\/k*(-1)\/(2 - 1). Find o such that 1\/2*o**2 + 0*o + q - 1\/2*o**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**5 - 2*n**4 - 4*n**3 + 4*n**2 - 3*n - 7. Let s(c) = c + 1. Let z(j) = -r(j) - 5*s(j). Factor z(k).\nAnswer: -2*(k - 1)**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -678*o**4 - 351843*o**3 - 60855345*o**2 - 3506990433*o + 201930963 = 0.\nAnswer: -173, 13\/226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 3*m**5 - m**5 + (-6*m**5 + 3*m**5 + m**5)*(-4 + 1 + 1) + (-31*m**3 - 27*m**3 + 33*m**3)*(-2*m**2 - m + m).\nAnswer: 55*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-11 - -5 - 5) + 12 + -10 - 34?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.0287 rounded to 1 decimal place?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23625, 30362, 37093, 43818?\nAnswer: 50537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**4 + 1440*q**3 - 465*q**2 - 960*q + 5. Let k(n) = 11*n**4 + 1439*n**3 - 470*n**2 - 960*n + 4. Let f(u) = 4*j(u) - 5*k(u). Solve f(a) = 0.\nAnswer: -96, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 11. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - i - 1 = 0, -19*q - 68*i + 50 = -5*q - 12*q - 58*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*h - 694, h = -2*m - 3*h + 332. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046101523 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o + 81*o = 18. Is ((-10382)\/(-4))\/(0 - o\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255953?\nAnswer: 311, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9104*g**3*y**3 + 23*g*y**3 - 305*g wrt g?\nAnswer: -54624*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 5*p + 7. Let v(j) = j**2 - j + 1. Calculate -c(n) + 5*v(n).\nAnswer: 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -1552.\nAnswer: -39\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/20 - (-3)\/5. Suppose 0 = -4*s + d*k + 1264, 4*k - 325 = 3*s - 4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*s - 2*o, 2*o - 166 = -4*s - 32. Suppose 0 = -l - 2*l + 9. Calculate the highest common divisor of s and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331170 rounded to the nearest 10000?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.04, 3, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*14\/((-4)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -775 - -775.66. Put -2\/17, -0.1, z in ascending order.\nAnswer: -2\/17, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -0.2. Let o(z) = 2*z + 7. Let q be o(-5). Let i be 2\/4 + 4 + q. Which is the closest to w? (a) 0.5 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (5 + 4)) + -9 + 37 + -100 + 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from lffllfff?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = j + 7, -3*p - 5*j + 14 = 0. Is 8 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 12*p - 18*p + 4*p**3 + 8*p in the form n + g*p + f*p**2 + l*p**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00386 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p. Let o be m(-1). Let z(a) be the third derivative of -a**5\/60 - 3*a**4\/8 - 5*a**3\/6 + 9*a**2. List the prime factors of z(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 0.15. What is the nearest to s in -2, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - -aa1b?\nAnswer: aa47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:49 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 10. Let q(i) = 97504*i**2 + 5*i + 2. Let h(j) = -195009*j**2 - 11*j - 4. Let c(g) = m*q(g) + 4*h(g). Let d be c(-2). Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 1500*m + 19 + 2*m**3 + 29.\nAnswer: 2*m**3 - 1500*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6528956.\nAnswer: 2, 7, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*b = 0, -4*q + 24*b + 2 = -3*q - 0*q - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 9*j**3 + 17*j**3 + (2*j + 2*j**2 - 2*j)*(-j - 2*j + j).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6488, -6502, -6550, -6650, -6820, -7078, -7442, -7930?\nAnswer: -8560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 - 8*n - 3. Let d be r(-7). Suppose 3*s + 4*f = -16, 0 = d*s - 5*f - 20. Suppose s = j - 8 + 6. Are 3\/5 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 + 2*j**3 + 4*j**3 + (-2*j + 2*j + 3*j)*(j**2 + 0*j**2 + 0*j**2) as i*j**3 + x + w*j**2 + f*j and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 - 1035*d**2 + 33915*d + 2194955 = 0.\nAnswer: -31, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/101 (b) 2\/7 (c) 1 (d) -5 (e) 0.05 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 41*w**2 - 179*w + 49. Calculate r(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let s(i) = -i**2 + 2*i - 2. Let k be 1 + (-3 - -2)*-1. Let v(z) = 2*z**2 - 7*z + 7. Let u(q) = k*v(q) + 7*s(q). Determine x(u(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002334450235 rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*w + w + 10, r + 5*w = -10. Suppose -13*p + 9*p + 32 = r. Suppose p*g = 4*g + 400. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.667572mg to grams.\nAnswer: 0.007667572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 3. Let f(s) = 13*s**2 - 15*s + 80. Let u(j) = -7*j**2 + 8*j - 43. Let i(b) = 6*f(b) + 11*u(b). Give -2*i(h) + 5*k(h).\nAnswer: 3*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 25205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -4 (c) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6526832 to the power of 1\/2, to the nearest integer?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u - 561 = 102*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z + 75*z - 21 = 0. Let x be (-146)\/(-2 - z\/(-7)). Which is greater: -145 or x?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - g**3 + 3*g + 2*g**3 + g**2 + 6*g**2. Give j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.04 (b) 1\/2 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y + 15. Let s be c(2). Calculate the remainder when 34 is divided by (s + 20\/(-2))*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637885\/406 at most 4033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/3, -123, -2\/9 in descending order.\nAnswer: 2, -2\/9, -4\/3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 6. Let z = 13 + i. Suppose 0 = a - 0 - z. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-345)\/(-25) + 4)\/((-4)\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -388\nAnswer: -3\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/120 + 11*r**5\/60 - r**4\/2 + 7*r**3\/6 - 9*r**2. Let l be a(-12). What are the prime factors of (212\/3)\/((42\/9)\/l)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8) + (-5)\/20. Let h = 29.98 + 0.02. Is h > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154.7 - -154.70000621. Round c to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 7) to base 5.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*m - 54 = -223*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g**(-4\/11)*(g**28)**(1\/2))**(-1\/9) assuming g is positive.\nAnswer: g**(-70\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -380*r**2 + 62 + 380*r**2 - r**3 to the form q + x*r**3 + t*r + v*r**2 and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (413\/(-28))\/(-1*1\/(-4)). Let j = u - -62. Solve -3*g - 21 = -3*q, -g - 9 = j*q + 2*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 292, 315, 358, 427?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*k + 1071 + 2*k**4 + 12*k**4 + 1755 - 898 + 10*k with respect to k.\nAnswer: 56*k**3 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) 9\/8 (d) -4.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -904, 5, -6551.\nAnswer: -6551, -904, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.23. Suppose 0 = -5*j - u + 213 - 200, 6*j = -u + 15. Which is the smallest value? (a) 0.2 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**3 - 36*m**2 - 4*m - 6. What is the remainder when f(-5) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(432) - (sqrt(432) + sqrt(432) + -4*(-2 + sqrt(432)) + sqrt(432))) + 3)**2.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwqqqqqqfqwqffxqqq. What is prob of sequence wf?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 948*m - 950*m + 3*y, -20 = -4*m - 5*y for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98568 + 2668\/9*y**3 + 197432*y + 2\/9*y**4 + 892442\/9*y**2.\nAnswer: 2*(y + 1)**2*(y + 666)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1380)\/(-60030))\/((-8)\/96).\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 34. Let c be w(0). Let a = -2 + c. Calculate the highest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*r - 3*r - 3*r + (6*r - 4*r - r)*(74 + 84 - 21))*(3*r - 2*r**2 - 3*r).\nAnswer: -350*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -29, -2\/19 in decreasing order.\nAnswer: 1\/3, -2\/19, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 3*v - 3. Let u be x(3). Suppose -2*t + 4*i = -i + u, i = -t + 10. Which is the second biggest value? (a) -2\/5 (b) -2\/19 (c) t (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 8. Let u be ((-2)\/(-3))\/(a\/36). Suppose -30 = -4*d + 2*x, 3*x = u*d + x - 22. What is the least common multiple of d and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10235*k - 576. What is the tens digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -4. Suppose -6 = 3*j - i. Suppose 4*g - 2117 = -2*b - b, j*b = -5*g + 2650. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174960 + -175005.0413. Let d = -514 + 559. Let t = d + v. What is t rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -13\/6*w**3 + 0*w**2 - 22*w + 1\/2*w**4 + 0 + 2\/15*w**5. Let z(t) be the second derivative of g(t). Differentiate z(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690541, 1381083, 2071625, 2762167?\nAnswer: 3452709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1588 + -51529.\nAnswer: -53117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -94, -0.3, -6, 3, -33890?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -519960 less than -519889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-45))\/(((-1)\/(-2))\/(105\/30)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2 - 42\/21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45441592 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1998 - 0.8002. Sort -4.7, -4, c, 2 in ascending order.\nAnswer: -4.7, -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 5*y - 3*q, 0 = 4*y - 4*q + 4799 - 4891 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -758*u**2 + 404*u**2 + 382*u**2 - 35*u**4 - u**3 - 2*u wrt u.\nAnswer: -840*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -9*p. Suppose p = -3*i - 4*k - 926, 4*k + 0*k = -4*i - 1232. Let m be 49\/17 - 36\/i. Solve -4*x = -5*c + 11, c = x + m*x + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**3 + 0*s - 107146 - 3*s**3 + 2*s + 107145 - 1608*s**2 in the form y*s**3 + f*s + o*s**2 + x and give o.\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, b: 2}. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -7, 0.8, 0.3, 1\/20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7658 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2. Let k(x) be the third derivative of 0*x + 0*x**3 - 11*x**2 - 1\/30*x**5 + 0 + 0*x**4. Give k(h(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -348, -3, 1\/6 in increasing order.\nAnswer: -348, -4, -3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 69*s**2 - 60*s + 221. Is r(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*q**2\/2 - 8086*q + 32160.\nAnswer: (q - 4)*(23*q - 16080)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 179*d**6\/10 - 472*d**2 - 655*d. What is the derivative of l(x) wrt x?\nAnswer: 2148*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40583160 + 2?\nAnswer: -40583157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-8)*(-784)\/833?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 12 + 3)*(1 + 2 - 4)*(383210*p**2 - 383210*p**2 - 935*p**3) to j + r*p**2 + y*p + q*p**3 and give q.\nAnswer: -18700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -25814 greater than or equal to -368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2, 8, 2, -73 in increasing order.\nAnswer: -73, -3, -2, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331 - 179 = -102*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, 0, -6 in descending order.\nAnswer: 19, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3519227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2595908 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 626979 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*h + 22, -7*f + 3*h + 20 = -12*f. Let b be (-6)\/4*100\/(-3). Let p be b\/232 - (-8)\/(-32). Is p at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 5 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - -0.2. Suppose -6 = -5*d - 16. Let y = 1 + d. Which is the nearest to x? (a) y (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 1. Let x be 3\/((-66)\/40) - (-168)\/(-924). Give m(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -5*r**4\/6 + 20*r. Let v(h) = 10*h - 6*h - 6*h - 2*h. Give v(g(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 16*a**2 - 17*a + 8. Let f be i(15). Let d be 1 + (f\/(-4) - -4)*2. Let y be (3 + 1)*(34 + 1). What is the highest common factor of d and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 7*o - 1568000. Round o to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 7*z = 16*z. Let k(t) be the first derivative of t**3\/3 - t**2\/2 - 165*t + 1. Let j be k(z). What is j rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Suppose v - 4 = -0*v. Let k be (5\/(-175))\/(v\/(-10)). Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 63. Let f(s) = 20*s + 41. Let g(i) = 7*i + 14. Let z(b) = 6*f(b) - 17*g(b). Let c be z(-6). Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16*s - 100. Let o be f(6). Let v(g) = -3*g + 8*g**2 - 6 + 3*g. Let p(h) = 4*h**2 - 3. Let n(r) = o*v(r) + 9*p(r). Differentiate n(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-187)\/(-34))\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s + 19*s + 0 - 1 to y + d*s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 + 299 = 0. Let i be 2\/8*c\/(-84). Suppose -2\/7*q**3 - i*q**5 + 0 - 4\/7*q**4 + 0*q**2 + 0*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p**3 - 32*p**3 + 13*p**3 + 2*p**4 + 18 in the form i*p**2 + s + d*p**3 + k*p + r*p**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12 and -19\/8724.\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2014829402 from 6.2.\nAnswer: 8.4014829402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**3\/33 + 12*a**2\/11 - 2*a - 22. What is g in x(g) = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*q - 13, 5*s - 3*q + 32 + 5 = 0. Let k(z) = -25*z**3 - 10*z**2 + 3*z - 7. Let h be k(s). Is 2 + (-80)\/36 - h\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*d*y**4 + 182*d*y**3 + 285*d*y**2 - d + 6 wrt y.\nAnswer: 4800*d*y + 1092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11005652 to the nearest integer?\nAnswer: 3317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*z - q, -z + 10 = 3*q + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 336*o**2 + 20500*o = 0 for o.\nAnswer: -41, 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-67)\/(-7) + (-42)\/(-98). Suppose 0 = 4*m + 5*u - 38461, -11*u + j*u - 9622 = -m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + -1.69. Let s = 9.51 - m. Let i = s + -12. Round i to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 - ((62 - -135) + -88)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, w: 13}. Give prob of sequence wwx.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 62*m - 20 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -5\/6, -12\/25, -5\/17.\nAnswer: -8\/5, -5\/6, -12\/25, -5\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -27. Solve -5*u + c = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 20*b + 4. Let o be p(5). Suppose o = 5*m + 4*g - 131, 2*m - 87 = -3*g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one quarters of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 3. Let l(t) = t + 14. Let f be l(-8). Let c be h(f). Let a be (c\/(-2))\/(2\/(-12)). Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2456*o + 1134*o = -208220 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 19934 + 19934.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-19\/2)*t*(t\/(t\/t**(3\/5)*t))\/t)**(2\/19) assuming t is positive.\nAnswer: t**(-89\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 21810000?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5*(30 + -49 - -14). Solve -z*q = 10, -3*q - 9 = -c - 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 12. Let m be f(-5). Let k(g) = -g**2 + 5*g. Determine k(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17320 and 6495?\nAnswer: 51960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 + -2 + 1 + 2. Suppose -n*x + 16*x = -9. Suppose -4*s = 3*h - 16, -7*h + 23 = -x*h + 5*s. Calculate the greatest common factor of h and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 115*v**3 - 99*v**3 - 15*v - 2 + 15*v - 11 to the form a*v + o*v**2 + u*v**3 + w and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1065.973 * 3.\nAnswer: 3197.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6249719?\nAnswer: 7, 892817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1)*(6 + (-128)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from csaeea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15289 + 15289.50746. Let y = -0.503 + n. Round y to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 - m + 10. What is g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-5 - 548\/(-108)). Let l be (-5 + 0 + i)\/(-4). Let h = -22 + l. What is the smallest value in 0.5, 4, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zpucppczu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 + -252.2. What is the nearest to -1\/4 in c, 1, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030034442 (base 5) to base 15.\nAnswer: 806467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/595837 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - s = -5*s + 49, q - 4*s + 5 = 0. Suppose 0 = 3*j - 4*z + 8, -z - q = -6*j + 2*j. Solve -i + d + 11 = 3, j*i = -d + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 4246023?\nAnswer: -4246019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0118 times 5648?\nAnswer: 66.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**3\/6 + 17*l**2\/2 - 9*l. Let h be f(-16). Let t(k) = -7*k**2 - k. What is t(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20430 (b) -4 (c) -5\/1432\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3 = i. Suppose 4*l - 5*s = 61, s - 2*s + 22 = i*l. Let p = 13 - l. What is the lowest common multiple of 1 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11*(-25 - -2) - 1. Suppose -w + 4*w = g. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 + 27*p\/5.\nAnswer: p*(p + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*f = -33*f + 650 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*g**5 + g + 0*g + 57*g**5 - 30*g**2 + (2*g**3 - g**3 + g**3)*(-1 + 1 - g**2) + g**5 + 0*g**5 + 0*g**5 + 2*g**5 + 3*g**2 - 3*g**2.\nAnswer: 2*g**5 - 30*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -19*s**5\/4 + 143*s**4\/12 - 177*s. What is the third derivative of o(c) wrt c?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(-2 + 86*d - 49*d - 43*d - 2*d + 1 - 1 + (-d - d + 3*d)*(-1 - 2 + 2)).\nAnswer: -9*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(880))\/(-4*sqrt(33)\/sqrt(3)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let i(n) be the first derivative of -4185*n**2\/2 + 1417. Calculate i(h(l)).\nAnswer: 4185*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5 - 552*j**4\/7 + 8076*j**3\/7 - 1410*j**2 - 24471*j\/7 - 5994\/7 = 0?\nAnswer: -37, -1, -2\/7, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 14*f - 18. Suppose 5*o - 31 = 2*v, 0 = -f*o - 5*v - 4 - 1. Solve -3*h + o + 12 = 4*k, -3*k - 9 = -5*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*f + 99*f - 334 = -p, 310 = 5*f - 5*p. Suppose 100 + 494 = -f*b. Let r = -94\/3 - -21. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 662 + 746. What is the remainder when 179 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21949*f**2 + 3036*f - 139733817 wrt f?\nAnswer: 43898*f + 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*6*-4*6)**2 + -3 + (sqrt(35) - (sqrt(1715) + 1*sqrt(1715) + sqrt(1715)))\/sqrt(7) + -6*2*sqrt(80).\nAnswer: -68*sqrt(5) + 933117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 226*j - 1. Let t(n) = -225*n. What is 2*d(b) + 3*t(b)?\nAnswer: -223*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 7932\/96*-2*(-17 + 1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 25 (c) 0 (d) -2\/9 (e) -2\/5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -134. Let f = -2 + -4. Let a = r + f. Is a greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-27))\/2*954\/(-795)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(2))**2 + (1*(-1 + sqrt(5))*-2)**2.\nAnswer: -8*sqrt(5) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 30 = 0, 15*p - 3*d = 10*p + 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 2*3\/(-6). Let o = 47 + r. Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12152 divided by -56.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r + 4*c = 30, -3*c - 18 = -3*r. Let s = r - 3. Let b = s - 1. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -214 - j + 585 - 2*j. Is q(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849552.3 meters in kilometers?\nAnswer: 849.5523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -1. Let x = -25 + t. Which is the third smallest value? (a) -1\/5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6419\/8294 + -3\/638. What is the smallest value in -4, h, 2, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13127.\nAnswer: 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 47*j**2 + 84*j + 273. Calculate t(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.41814 from -60279881.46.\nAnswer: -60279881.87814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 4. Let h be k(-5). Let v(n) = 8*n - 1 + 1. List the prime factors of v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 25*o - 469200. What is o rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 248, 356, 426, 446, 404?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-78)\/(-18))\/((-12)\/9). Let x = m - -77\/20. Let o = -1 + 0. What is the nearest to -1 in -4, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.04 + -11. Let y = t - 0.14. Is 0 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 464094.5 centuries?\nAnswer: 46409450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.25065 millennia in centuries?\nAnswer: 52.5065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 3}. Give prob of sequence luu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/18, -3082\/57, 5 in descending order.\nAnswer: 5, 1\/18, -3082\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*v + 611, 4*f = 4*v - 281 - 215. Let a(n) = -112*n + 2. Let z be a(2). Let w = f - z. Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18*15\/1215 + (-112)\/18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*g - 113*g = 59. Let b(n) = 61 - 3*n - g + 3*n + n. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*m**3 + 379710*m - 4921180 wrt m.\nAnswer: -360*m**2 + 379710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 7*x**2 + 2*x - 22. Let k be o(-6). What is the units digit of (44\/16 - k) + (-69)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122011 (base 3) to base 11.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from yzppzzzqpyy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7825 + 47155\/6. Let s = -53\/3 + v. Find the common denominator of s and -29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 72 (b) -0.02 (c) 1\/4 (d) -1\/13 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 2*s + 1. Let d(w) = w + 10. Let q be d(-9). Let x be b(q). Is (x\/2)\/((-24)\/(-2512)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 718?\nAnswer: 215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(5\/45). Suppose -t*b + 24 = -b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3142 (base 8) to base 15.\nAnswer: -73e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 7*u**2 - 8*u + 2. Let l be n(8). Let x(h) = 3 - 2 + 2 - 7*h - l. List the prime factors of x(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 71*d**7\/5040 - d**6\/90 - d**5\/4 + 7*d**2. Let f(a) be the third derivative of l(a). Is f(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1669 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 745*y**2 - 22055*y + 21170. Let k(n) = -62*n**2 + 1838*n - 1764. Let r(x) = 35*k(x) + 3*u(x). Suppose r(v) = 0. Calculate v.\nAnswer: 1, 354\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29647 - 137752.4203.\nAnswer: -108105.4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p**3 - 33*p**3 + 3357596987*p - 3357596987*p + 65*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4*105\/385*5)\/((3\/(-11))\/3)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let q(g) be the first derivative of 5\/2*g**2 + 0*g - 2. Determine r(q(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2307\/2848?\nAnswer: -2307\/2848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27812, -28120, -28638, -29366, -30304, -31452, -32810?\n\"Answer: -105*m**2 + 7*m - 27714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10272 and 266798080?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38376359?\nAnswer: 7, 783191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 3*s - 41. Let y be r(-9). Solve 3*d = -4*z + z - 21, 0 = -z - 4*d - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2461 - -2462. Solve -25*h = -26*h + q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167\/21 + 23\/3. Sort -0.9, 2, -2, g.\nAnswer: -2, -0.9, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s. Let y(z) = -23172*z. Calculate v(y(n)).\nAnswer: 69516*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -35, 14058 in ascending order.\nAnswer: -35, 2, 14058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 2*g**3 - 2*g**2 + 2*g**3 - 1 + 1 + (0*g + 3*g - 4*g)*(-2*g**2 + 5*g**2 + g**2) + 2*g**3 - 7*g**3 + 8*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j + 53. Let g be i(3). Suppose -4*y + 3*b + g = 7, 0 = 4*y + 3*b + 11. Solve 3*o + 2 = -y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.9 + -72. Let d = -2115 - -2110. Let t = -0.7 - -0.76. Sort q, d, t in increasing order.\nAnswer: d, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 17. Let a = 0.4 - 0. Let b = a - 0.5. What is the second biggest value in -4, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/60500964 and -35\/132.\nAnswer: 665510604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/29? (a) -2 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19 or 111?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 26, 557, 3, 174 in descending order.\nAnswer: 557, 174, 26, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2*m + 28*m - 16.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1418432357\/665358 + 1\/110893. Let i = o + -2115. What is the common denominator of i and -19\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g - 73*g = -566 - 1309. What is the remainder when 4353 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0 - 1\/15*l**6 + 1\/6*l**4 - 1\/6*l**3 + 0*l**2 + l + 1\/20*l**5. Factor s(q).\nAnswer: -q*(q - 1)*(q + 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 107?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*o - 267 = -4*a, -186 = -2*a + 4*o. Suppose 208 = 3*c + c. Calculate the remainder when a is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 138 - 2 = 0. Let j(t) = -4*t**2 + 3*t - 3. Let n be j(2). Let m = n - d. Solve o + 1 = -3*r - 4, -m = 3*o - 3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*p + 132, 3*p - 229 = -2*r - 0*p. Suppose 5*l - 4*g = r, 0*l - 5*g = -3*l + 72. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/3*34\/(39 - 22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/10 + 3\/(-15). Suppose c = -0*z + z - 15, 4*c + 60 = -s*z. What is the tens digit of (-197)\/(-15) + 2\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 37*z**2 - 157*z + 101. Let l be b(-32). Solve -2*k - g = 13, -2*g = -l*k - 6 - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -5)\/(2*1). Suppose h*j - 39 = -3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 1.1. Let l = 0.4 - h. Let i = -1.1 - l. Is i smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-36124.\nAnswer: 108372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.2 + 18. Let r = 470 - 469.9. What is the closest to 8 in j, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -3*o**2 + 0 + 1\/24*o**4 + 0*o + 1\/60*o**5 + o**3. Let m be j(0). What is the greatest common factor of m and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662354 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23365 times 1.2?\nAnswer: 28038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 0.25?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 = 3*z + 53, -5*z = 5. Solve 0 = 5*a - 5*g + m, a - 4*g = 1 - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046760 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or -240.222?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63512.89 milligrams in tonnes?\nAnswer: 0.00006351289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -14*u - 12. Suppose -5*d + u*f = -1934, 0*f + 5*f = 2*d - 760. Round d to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 121.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*v = -4 - 34, 298 = 5*t + 2*v. What is the remainder when 4871 is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.19 (b) -482 (c) 275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -160 and -160 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 4 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o - 8 = v, 12 = -o - 4*v. Let x be 6\/(-3)*1 - (1 - 126\/49). Which is the second smallest value? (a) x (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97 + 43 - 200)*(5 - 4 - 2)*((0*p + 2*p + 0*p)*(-3 + 3 + 1) + 2*p - 2*p - p - p - 2*p + p) to the form h + c*p and give c.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20735086.\nAnswer: 2, 2999, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 779636180.31?\nAnswer: 779636176.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 4\/(-6)*-3. Find the second derivative of a - 4*a + z*a**2 + 2*a**2 wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/573924 and 43\/108.\nAnswer: 5165316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50480*b**5 - 76*b**3 + 139782*b**2 - 3*b - 3 wrt b.\nAnswer: -3028800*b**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqssssspqpp. Give prob of picking 1 s and 1 q.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373*g - 28*g**5 + 40*g**5 + 34*g**5 wrt g.\nAnswer: 920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1911)\/168 - ((-24)\/(-224)*-92 + (-2)\/14)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -771840, -771858, -771876, -771894, -771912?\n\"Answer: -18*s - 771822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20660325 divided by -413.\nAnswer: 50025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*z**3 + 7*z**3 + 10*z**3)*(3*z - 3*z**2 + 2*z**2 - z).\nAnswer: 22*z**5 - 44*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 3*f**4 + 2*f**5 - 5*f**4 + f**4 - f + (f - 2*f**2 - f)*(4*f**2 - 4*f**2 + 2*f**3).\nAnswer: -2*f**5 - 7*f**4 - f + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -260*847\/(-6160) + 2\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w + 1 = -h, 2*w - 32 = -4*h. Let u be (-1)\/14 + 42176\/896. Suppose 2*t - u = -4*l - 29, -3*l = 2*t - 17. Are t and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -59. Let j = -69 + c. Is (325\/(-10) - -3)\/(j\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 0.1, 5\/6, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let k(p) = 9*p - 29. Let y(f) = 16*f - 59. Let m(z) = -5*k(z) + 3*y(z). Determine m(h(o)).\nAnswer: -6*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271*r + 8 - 8 = 3654*r + 868*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009295913 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81622177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 + 769. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:11 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 8*n - 11. Let a be o(-9). Does 15 divide (-292)\/(-8) - -3*(-1)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 3)*(-4*r + 2*r + 0*r) + 3 - r - 3 + 91843 - 91843 - 1687*r + 0*r - 2*r + r + (-1 - 1 + 1)*(-2*r + 0*r + 3*r))*(0 - r + 0).\nAnswer: 1692*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 241*y + 5600. What is u(-20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.5, -36\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9110, 9116, 9136, 9176, 9242, 9340, 9476, 9656?\n\"Answer: z**3 + z**2 - 4*z + 9112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*h - 20 = 0, 2*f - 5*h = 3*f + 16. Let q be f\/(-18) - (-171730)\/(-117). Let s = -515 - q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*u - 654243 = 0, -796*z + 4*u = -797*z + 654285. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270798.\nAnswer: 2, 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -1312077643?\nAnswer: -1312077645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3419 - -5899\/2. Let s = -515 - x. Calculate the common denominator of 43\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -16943?\nAnswer: 16944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 14579.\nAnswer: 3\/14579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -439877, -1759515, -3958917, -7038083, -10997013, -15835707?\n\"Answer: -439882*s**2 + 8*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 5 + 3*(2 + -3). Suppose 6*v - 3*d - 30 = v, 51 = t*v + 3*d. What is the tens digit of 1537\/v - 1\/(-9)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5805*r**2 - 2*r**5 + 5805*r**2 + 4*r**4 - 2*r**3.\nAnswer: -2*r**3*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 51 = 24. Let s be (-2)\/(-6) + (-545)\/j. Let g = -24 - s. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-15) - (-33)\/(-7))\/(9\/27)\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -17. Suppose 0 = 394*b - 436*b + 3402. Calculate the greatest common divisor of n and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -q - 5*n, n = -4*n - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.95459 rounded to 2 decimal places?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*o - 3*o + 22, 0 = 2*g. Suppose -43*t = -41*t - 118. What is the remainder when t is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367035 is divided by 2706.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181\/3 - 173\/6. What is the common denominator of -81\/10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129215 and 335959.\nAnswer: 1679795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1818728 to three dps.\nAnswer: 1.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - -41) + -24 - (18 + -5)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 445690706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*j + 7 - 20, 5*j + 4*k + 41 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/51972 and -43\/3.\nAnswer: 51972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 29 + 35 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 23*u - 18. Let a be f(11). Let z(p) = 0*p**2 - 3*p + 9*p - 6 + p**2. What is the units digit of z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -6245, -87, 1, -16, 4 in descending order.\nAnswer: 4, 1, 0, -4, -16, -87, -6245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {m: 1, t: 2, v: 1, i: 1, x: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6726 - 4449. List the prime factors of t.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l + 17 = -p, 4*p + l = 0. Let w(x) = -x**3 - 2*x**2 - 2*x + 4. Let f(t) = t**3 + t**2 + t - 1. Suppose 145 - 169 = 6*s. Calculate p*w(o) + s*f(o).\nAnswer: -3*o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 760121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 - 852\/(-42). Let n = b + -15. Suppose -105 - 15 = -n*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*n - 21, -5*t + 3*n = -0*n - 36. Let r be 14*t\/((-63)\/(-2)). Suppose 18*c**3 - 5*c**2 - 136*c**r + 2*c**3 + 141*c**4 - 20*c = 0. What is c?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8757*d**2 + 22*d + 35. What is the ten thousands digit of i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (1*sqrt(252))**2 + sqrt(252) + 2 + sqrt(252) + -2) + -1.\nAnswer: 72*sqrt(7) + 1487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161534 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(300) - sqrt(300))**2 - sqrt(21)\/(sqrt(700) - sqrt(700)*2) - (sqrt(6)\/(sqrt(32) + sqrt(2) + sqrt(2))*5 - -6*(3 + sqrt(12))).\nAnswer: -191*sqrt(3)\/15 + 2682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.53 or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5590*d + 61483. Give g(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.085046 kilograms in milligrams?\nAnswer: 6085046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -295115, -588936, -882759, -1176584, -1470411, -1764240?\n\"Answer: -o**2 - 293818*o - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 59192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -13)*6\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. What is the remainder when -86*2\/d + 2 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15307734 or 15307733?\nAnswer: 15307733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 9*o - 140. Suppose -o = 5*m, 4*m - 1055 = 2*j - 5*j. Suppose -10*f + j = -1463. List the prime factors of f.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 17 + 5*s**2 + 4 in the form p*s**2 + y + q*s and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/60 - u**4\/6 + 2*u**3\/3 - u**2. Let t be v(3). What is the units digit of 6 + -3 + 1\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + -5 + -10 - (-42 - -15).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 8. Calculate the remainder when 87 is divided by j(-26).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23335*g + 7 = -23337*g + 5*z, g = 3*z - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((4 - -2) + 0 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1686200 divided by -50\nAnswer: -33724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k - 113 + 1385 = 0. Let d = -10 - -13. Calculate the smallest common multiple of d and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -35*u - 207. Let s(m) = 33*m + 210. Let j(i) = -4*s(i) - 5*x(i). Let r be j(-6). Which is greater: r or -67?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 44. Let s = 11 + 9. Calculate the smallest common multiple of x and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + -2 + (7 - -1) - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104152545 + -13?\nAnswer: 104152532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6. What is the units digit of (0 + r - -23) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9838 + 174.\nAnswer: -9664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1156, 4, 1.4 in increasing order.\nAnswer: -1156, 2\/7, 1.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xxueeexxeuxeuuuuuuxx.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from {w: 4, u: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -57. Suppose -340 = -5*c - 2*y + x*y, 0 = -5*c - 2*y + 368. Let i(m) = m**3 + 7*m**2 + 2*m + 1. What is the remainder when c is divided by i(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 64 = -4*v, -494*t - 504*t - v - 8 = -998*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 767925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -4.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r**2 - 3*r + 1. Let z = -18 + 23. Suppose s = -3*s + 8, -2*a + 16 = z*s. Give w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38054343.\nAnswer: 3, 12684781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*a - 486 + 439 = 0, 1 = -2*l + 5*a for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*a**5\/4 + 260*a**4 - 61359*a**3\/4 + 97452*a**2 - 161460*a = 0. Calculate a.\nAnswer: -195, 0, 3, 4, 276\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 4704?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 11*r**2. Let j(l) = l**2 + 1. Let g(y) = -2*j(y) - p(y). Is g(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 15 + (24 - 19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 36*a + 50*a - 26*a + 26*a.\nAnswer: 86*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - (-5500)\/74)*(-778)\/21006 - -3 and -13\/9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 10:12 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15534*u. Let l(c) = 4*c**2. What is o(l(q))?\nAnswer: 62136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (37 + (-5 - 15)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -334018, -333967, -333916, -333865, -333814, -333763?\n\"Answer: 51*n - 334069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101003 - 133?\nAnswer: -101141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2806 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from kiikkikk.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let j(i) be the second derivative of i**3\/2 + 44*i. Give x(j(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - j - j**3)*(-81 - 51 - 239) + 825 - 825 - 25*j**3 to z + d*j**2 + k*j**3 + t*j and give k.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjg when three letters picked without replacement from {k: 1, g: 1, j: 1, z: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t + 33. Let c be v(-3). Let q(l) = -8*l**2. Let r be q(-1). Is c smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22122923\/318 + -69569. Let h = -469423\/12 - -39108. What is the common denominator of g and h?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 7)*5\/3. Let h = k - 5. Solve -2*g = 4, h*b + 2*b = -2*g + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45397.\nAnswer: 11, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:04 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 730.\nAnswer: 0, 3, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 104. Let l(v) = g + 3*v**2 - 4*v**2 + v - 33 + 34. Let w(x) = -12*x**2 + 18*x + 18. Determine -18*l(b) + w(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 1311?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1268215.6601 - -1268872.7. Let w = f - 657. What is w rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -60. Solve -f + 1 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -1, 2 in increasing order.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3411, -6827, -10243, -13659, -17075, -20491?\nAnswer: -23907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.0154?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 786 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, -2, 4, -16, 5 in decreasing order.\nAnswer: 36, 5, 4, 3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9265 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/13)*l**(-1\/4))\/(l**(-2))**(-3\/14))**8)**(-1\/12) assuming l is positive.\nAnswer: l**(101\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1119 - 163*w**5 + 1118 - 205*w**5 + 27*w**2 wrt w.\nAnswer: -22080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9746 is divided by 166.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -d - 1, 4*y - 41 = -5*d. Let s be (-5 - -5)\/(5*2\/d). Let a(b) = b - 1. Determine a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 22 = 5. Let k(m) = -m. Let w be k(0). Suppose 2*i + 2*i + 4*d = 120, d + 3 = w. Calculate the remainder when i is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n + 2. Suppose -3 = -l - d - 1, -4*d = l - n. Suppose 2*g - 28 = l. Solve -g = -4*x + x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 79*b - 933. What is l(12)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/6 - 8\/(-24). Let j = 78.5 + -79.5. Put j, -6\/7, -0.3, i in decreasing order.\nAnswer: -0.3, -6\/7, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1884*k + 1888*k = -12, -t - 3*k - 19 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2680022 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (5 + 157\/(-5) - -2)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3444 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-17)*z)**(-16) assuming z is positive.\nAnswer: z**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 6. Let j be a(-10). Calculate the highest common divisor of j and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/183 and 29\/13359.\nAnswer: 13359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (9 + (-39 - -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/5 - -10310*2\/50. What is the greatest common factor of 177 and m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/(-15))\/((-27)\/450). Let q be (-6)\/(-8) + 20\/x. Let k be 150\/(-632) - (-6)\/24. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035337mm in kilometers?\nAnswer: 0.000000035337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88776444?\nAnswer: 2, 3, 7398037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13090735, 13090726, 13090717, 13090708, 13090699, 13090690?\n\"Answer: -9*k + 13090744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240382*t - 5 + 5 + 240355*t.\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + -9 + (50 - (14 - 6 - 15))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllyoyyylllo. What is prob of picking 1 l and 1 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 1260 = 18*u. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 10573.79.\nAnswer: 222049.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 427423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -63, -94, -125, -156, -187?\n\"Answer: -31*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1001012100?\nAnswer: -1001012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 0, -7, -12, -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435244742.\nAnswer: 2, 7, 31, 53, 105871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 189811489185 and 0.0023.\nAnswer: 189811489185.0023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(10\/(-60)). Suppose -d*f - 2*f = 348000. Round f to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5132\/27 - -190. Suppose 4*y + 18 = -2*i, 4*y + 12 = -4*i - 8. Is m < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)\/(h\/(h\/(h\/(h\/(h*h*h*((h\/(h**(5\/3)*h))\/h*h)\/h*h))))))**(-2)\/(((h*h**(-4)*h)\/(h*h*h**4))\/(h**(-4)\/h**(-2\/13))) assuming h is positive.\nAnswer: h**(1564\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2 - 30229\/(-4921).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33\/14 + 124\/35. Suppose -3*l = 2*l - 595. Find the common denominator of l\/(-12) - (-3)\/(-12) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 - 1)) + 3 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67356 and 104508?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106697758?\nAnswer: 2, 5179, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 14, v: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1772540 and 93\/47432?\nAnswer: 272971160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 1\/2*w**2 - 12*w - 1\/6*w**3 + 0 - 1\/12*w**4. Determine y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 88 = 0. Solve 0 = t + 2*t - 4*z + 22, -5*z + r = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3793 - -3784. Which is smaller: -154\/17 or z?\nAnswer: -154\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vagavvggggav. What is prob of sequence vgaa?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -516, -2068, -4658, -8286?\n\"Answer: -519*c**2 + 5*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 4 + 11 + 15 + 4*g**3.\nAnswer: 4*g**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 169355 and -1631.8?\nAnswer: 170986.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:48 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-18)\/(-4))\/(-3)*(-188)\/282).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -28*o**2 + 341*o + 25. Let k(f) = 4*f**2 - 57*f - 4. Calculate -13*k(v) - 2*s(v).\nAnswer: 4*v**2 + 59*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:00 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -155?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19912 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/2 - 57*k**2\/2 - 2146*k + 1. Calculate z(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 1, w: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and 867597860664.\nAnswer: 867597860663.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11.08. Let j = i + 3.92. Let p = j - 4.5. Which is the nearest to -1? (a) -4 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*f = 4, -2*q - 3*f = 2*f + 4. Suppose -u - q = -2*u. Suppose -4*c + 5*k - 2*k - 6 = 0, 0 = -4*k + 8. Solve c = -s + 3*s - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.517021 and 0.3?\nAnswer: -0.1551063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -2*p**3\/3 + p**2\/2 + 15*p + 15. Let v(r) be the first derivative of w(r). Give v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + o - 4*o)*(506 - 340 - 355) + (-5*o + 3*o + 3*o)*(3 - 1 - 4) + o - o - o.\nAnswer: -381*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or -44\/131?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-3))\/(1\/4). Let o = 1 - -1. Solve -o*f - z = -5*d, d + 0*d = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1743330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 9 = -3*i. Let s be i\/(-8) + 47\/94. What is y in 1\/2*y + 1\/8*y**2 + s = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/39*11\/253*12\/(-20)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17816 + -17802. What is the highest common factor of 11851 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from wfosswswwlwslksswow?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 246c3db + -2?\nAnswer: 246c3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362*o**2 - 7*o - 4*o - 45*o**2 + 11*o to v*o + k + l*o**2 and give l.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uff when three letters picked without replacement from {u: 4, f: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11110 + 1020302?\nAnswer: 1003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2389.964.\nAnswer: 4779.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11325742 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 203580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -0.067 (b) 0.4 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254202 = 2*t + 4*q - 3*q, 0 = t + q - 127099. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 17*z**7\/630 + z**6\/720 + z**4\/24 + 3*z**2. Let g(a) be the second derivative of k(a). Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402045 + -105?\nAnswer: 401540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = 4*q + 49, -4*q = 2*f + 34. Let h(a) = a**2 + 12*a + 14. Let y be h(q). Let x(g) = -g**2 - 9*g - 3. Is x(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 139.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9 = -34, 3*h - 5*l = -16. Suppose h*z + 3*n = 9, 5*z + 6*n + 3 = 10*n. Solve 0*o + 2*o = -m - z, -2*o = -4*m - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -3.47818\nAnswer: -31.30362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/28110 and 91\/18.\nAnswer: 84330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109 - 388 = 72*s + d, -49*s + d = -45*s - 39 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -67 and 5\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*f = -519 - 221 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccb when three letters picked without replacement from {t: 7, c: 4, b: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -100*k - 5181. Let h(z) = -166*z - 10364. Give 3*h(l) - 5*t(l).\nAnswer: 2*l - 5187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4099 - 19?\nAnswer: -40b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.1, -3, 4, -2\/5, -1, 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*m**2 - 296*k**2*m + k**2 + 10*m**4 + 3*m**2 + 2*m wrt m.\nAnswer: -4*k**2 + 120*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34\/7, -90, 0 in decreasing order.\nAnswer: 1, 0, -34\/7, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -2. Suppose -j - r = j - 10, 0 = -4*j - 3*r + q. Suppose -330 = -j*m + 242. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*o = 117*o + 141*o + 82166. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800134 is divided by 119895?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*x + 3, -t - x - 3*x - 17 = 0. Let w(v) = -4*v - 2. Let j be w(t). What is the greatest common divisor of 34 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*y + 3*y - 35 = 0, 4*z = 5*y - 31. Let o be 0\/(7 + 4)*2\/z. Solve o*x = x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 34507981.\nAnswer: -34507980.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - c - 6. Let i = -2 - -5. Suppose -i*q + 4 = -4*q. Let g(r) = 5 - r**3 - 5 - 1. Calculate q*g(j) + h(j).\nAnswer: 2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from {m: 2, z: 1, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 552 (base 11) to base 15\nAnswer: 2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) 0 (c) 11\/60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 28*y + 41. What is o(14)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -631\/8. Let w = 42.3 - 42. Suppose 2*a - 4*k + 16 = 6*a, 4*a - 16 = 4*k. What is the second smallest value in a, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 13*w - 10*w + 1135, -4*w = 20. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - 51) + 7 + 0 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 + 52\nAnswer: 52.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -15. Let u(p) = -p**3 + 1. Let j(n) = 7*n**3 + n - 4. Let s(h) = a*u(h) - j(h). What is the second derivative of s(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 8. Let o be p(-3). Let r(q) be the first derivative of 1 - 1\/4*q**4 + 0*q**3 + 0*q + q**o. What is the second derivative of r(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2326*u**5 - 3*u**4 - 21*u**3 - 3597001*u wrt u.\nAnswer: 46520*u**3 - 36*u**2 - 126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -28*t**2 - 49*t - 19. Let w(f) = 9*f**2 + 15*f + 6. Determine 2*l(o) + 7*w(o).\nAnswer: 7*o**2 + 7*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-154))\/((-4)\/106) - (675\/(-36))\/(-75).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*1*sqrt(637))**2.\nAnswer: 70*sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 25*m - 10. Let u(q) = 8*q - 3. Let p(y) = -3*c(y) + 10*u(y). Let a be p(1). Factor -3 + w**2 - 2*w + a - 1.\nAnswer: (w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3731\/57 and 64 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(10) + 4*sqrt(10)*1 - sqrt(10))\/(sqrt(5) - sqrt(30)\/(sqrt(96) + sqrt(6))).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Suppose -q - u - 27 = q, -3*q = v*u + 58. Let s = q + 16. Solve 6*r + s = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.798514 and -0.5554.\nAnswer: 6.243114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.457 in -4, -3, 0.1, -0.5, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8 + 4*z + 12 + 2*z**2 - 14*z**2 + 8*z**2 - 6. Let d(a) = a**3 + 2*a**2 - a. Let h be d(-2). Calculate u(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534 is divided by 1254.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12690364739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1522 + -885. What is the highest common divisor of j and 364?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let y = -0.29 - 0.01. Let w = 4327 + -4327.1. Which is the nearest to w? (a) 2\/7 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2\/3*b**3 + 0*b**2 + 2\/3*b - 1\/3 + 1\/3*b**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 0.0406, -0.4, 2\/19, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*f**2*p**3 - 14435*f**2*p - 22*f**2 - 339210*p**3 + 70*p - 1 with respect to f.\nAnswer: -22*f*p**3 - 28870*f*p - 44*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891))**2*-1 + (sqrt(11) + 4)*-5)*2.\nAnswer: -1822 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 - 3767159*n\/5 - 7534314\/5.\nAnswer: -(n + 2)*(n + 3767157)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 0.3. Let b = -0.01 - -0.01. Put b, 3, i in descending order.\nAnswer: 3, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 23 = i, 3*i - 18024*m = -18023*m - 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 3) + (-5 - 2). Let f be 4\/6 - (-10)\/3. Let l(v) = -v - 10. Let q be l(-7). Sort q, f, d in ascending order.\nAnswer: d, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 42*t - 680. What is d(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55562\/8961 - 180\/29. Which is smaller: d or 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 43 + 22 - 26*d + 1 + 44*d - 13*d. What is l(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1295248 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 9037039.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(242) - (sqrt(242) + 5*2*sqrt(242))**2)) + -1 + (sqrt(242) - (0 + sqrt(242) + -1 + sqrt(242) - sqrt(242))) + 3.\nAnswer: -146422 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 462*m + 5*m**2 - 460*m - 444*m + 1381*m.\nAnswer: 3*m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443 + -630. Let x = 127 + i. Let n = 59.938 + x. Round n to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + c - 9. Let n be z(7). Does 3 divide ((-42)\/(-9))\/(n\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1357, 1426, 1541, 1702, 1909, 2162?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*(31 - 2) - -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 613 and -17.4.\nAnswer: 595.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*o + 25. Let x(w) = -w**2 - 8*w + 6. Let i be x(o). Differentiate 0*m**2 - m**2 - i + 7 + 3 wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 37*n + 170. Calculate t(-30).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 3838*b**3 + 3606 - 3606.\nAnswer: -3838*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -267714 (base 11) to base 14\nAnswer: -ad171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18885, -20883, -24219, -28893?\n\"Answer: -669*x**2 + 9*x - 18225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -186*g - 1864. Calculate m(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 6 - (-3 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + a - 3720, -2*l - 2*a = -l + 939. Let u = l - -1039. Solve -103*y = -u*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35280 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/220)\/(39\/1077) - 21\/(315\/(-165)).\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-23)\/(-46))\/(20\/374). Let t = 39\/4 - u. What is the third smallest value in 0.1, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**3\/3 + 87*o**2\/2 + 6*o. Let h be z(0). Let g = 215 - h. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98719016959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2223 + 2398. Solve -190*u = -y*u + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29131 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4338595*u**5 - 2*u**2 - 694253 wrt u?\nAnswer: -260315700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 68\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176708*x**3 - 1042105*x?\nAnswer: 1060248*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m = 3*g + 3*m + 192, g + 8410*m = 8412*m + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1272 - -1274.9. Is 0.2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqy when three letters picked without replacement from {y: 2, q: 4, s: 4, w: 2, r: 1, t: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108230200 rounded to the nearest 1000000?\nAnswer: -2108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/7))\/(m\/(m**(1\/7)\/m)) assuming m is positive.\nAnswer: m**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 - 45*y - 77. Let m be r(-19). Let g = m + 3075. What are the prime factors of g?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 3, g: 3, m: 2, o: 6}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -36. Let h(d) = 6*d**2 - 3*d - 1. Let r be h(3). Let t = f + r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -205, -864, -2459, -5458, -10329, -17540, -27559?\n\"Answer: -78*n**3 - 113*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*r = 15 + 4, 7 = 2*x + 3*r. Let f be (-1)\/(-4) + (-3)\/x. Let o = f + 5. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 4 (c) 0.3 (d) 29\/5 (e) -14 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2544*h**2 - 868*h - 11. Let o(b) = b**2 - 2*b - 2. Let f(m) = -6*o(m) + s(m). Find the second derivative of f(p) wrt p.\nAnswer: 5076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 32. Let d be h(-13). Find the second derivative of -d*k - 16*k**3 - k + 18*k**3 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635622 divided by 16298?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/27)\/((-2)\/3). Let n(b) = -b + 10. Give n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/12 - 5*r**3\/6 - 3*r**2\/2 - 16*r - 10. Give n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -111 and -20.92478.\nAnswer: -131.92478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -36, -46, -40, -12, 44?\n\"Answer: h**3 - h**2 - 24*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 90070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 4 = 0. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1035 - 1031. Let h be 7 + -4 + (0 - -2). Let x(l) = l**3 - 5*l**2 + 3*l. Calculate the remainder when x(h) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.8, -1\/8, 17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**3\/3 + o**2 - o. What is the units digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + 346300?\nAnswer: 346241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*sqrt(640))\/sqrt(5) - (5 + (-5 + (sqrt(2)*-4)**2)*-2).\nAnswer: 49 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.69 - -0.69. Which is the closest to 4? (a) m (b) -2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 z, and 1 n when four letters picked without replacement from uzzzzpgnp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/5))**(-2\/105)\/(((l*l\/(l\/(l\/(l**(-1)\/l)))*l)\/l)\/l)**(1\/47))**(-11))**38 assuming l is positive.\nAnswer: l**(133342\/3525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) -0.4 (c) -1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-288)\/((-12)\/54 - 2288\/(-10134)). Let v be (1\/4)\/((-135)\/g). Let j = -150 + v. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/519, 4, 0.5, -3\/2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 2. Let q(h) = -h - 5 - 15*h - 1. Suppose -4*u - 7 = -0*a - a, 0 = -5*a + 4*u + 19. What is a*q(d) - 10*x(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 20. Let i be k(11). Solve -i*v - 20 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.111 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158\/77*1770\/1620?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eca8 - -1?\nAnswer: eca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1702 + -40783\/24. Calculate the common denominator of (-1*1)\/(3040\/7790) and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*n - 6*n**3 - 106*n + 5*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 55*b - 130*b - 34)*(0*b + 5*b + 2 - 1) in the form w + q*b**2 + h*b and give q.\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.4 (b) -2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 1166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -879*g**6*o + 76*g**6 + 7170*g**2*o + 3*o wrt g?\nAnswer: -105480*g**3*o + 9120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -157, -273, -415, -583, -777?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49 - 698*p + 352*p - 204*p**2 + 28 + 345*p - 126 wrt p.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1038*i**3 - 13 - 8*i + 322*i**3 - 9*i + 85 + 18*i wrt i?\nAnswer: -4296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -2*w - 18, 3*g - 37 = 5*w. Calculate the highest common divisor of 12 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 1:31 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 737 - -0.3\nAnswer: 737.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-71896)\/14190)\/((-6)\/(-5)))\/(-4*(-1)\/(-36))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**5\/5 + a**4\/12 + 2*a**3\/3 - a**2\/2 - 47*a + 12. Let g(y) be the first derivative of f(y). Suppose g(d) = 0. Calculate d.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y - 7 + 19 - 26. Let o be q(3). Let v = o + 32. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133674*0.134.\nAnswer: 17912.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6687572 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.20617 and 30.8.\nAnswer: 30.59383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133421789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117\/140 + 11\/20. Let r = -4 + 3. Is d < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 990\/(-231)*(-54)\/10. Suppose -24\/7 - 108\/7*f**4 - a*f**2 + 717\/7*f**3 - 243\/7*f**5 - 180\/7*f = 0. Calculate f.\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 45. Suppose -4*j - j + w = 0. Suppose j*i + 210 = 8*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, 4, -4, 6444, 1, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*1*2 - (1*sqrt(343))**2*5 - (3*(1 + sqrt(343)) + -3).\nAnswer: -1715 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:20 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 5, g: 2}. What is prob of picking 1 g and 1 v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*s - 2*s - 33 = 0, 159 = 5*j + 3*s. Let b = 500 + -495. Suppose -r = 4*v + 6 + 18, b*v + j = r. Which is smaller: -9\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12202 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*2*((-27)\/(-5) - 3). Let k = y + -27. Is 346\/(2 + (-36)\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 8*o - 3*q - 27, -3*o + 4*q = -29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2341797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {v: 4, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxlhhzv. Give prob of sequence vx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (sqrt(18)\/sqrt(8) - sqrt(9)))\/(sqrt(6)\/(sqrt(2)*1)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)*n*n**6)\/(n**(-4)\/n*n\/n**(-2\/31)*n) assuming n is positive.\nAnswer: n**(2896\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-662)\/8 + 1 - (-18)\/(-72). Let b be (-18)\/6 + v\/(-28). Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 35 = -5*w, 3*h + 6*w - w + 29 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -5*u**7\/42 + u**4\/3 - 13*u**3\/3 + u + 10. Find the second derivative of z(s) wrt s.\nAnswer: -100*s**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-4 - -4) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -3, 4\/3, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 859*b. Let l(s) = -6*s**2. Calculate q(l(u)).\nAnswer: -5154*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 47. Suppose g + 5*u - 6 = 0, -3*u - 25 = -4*g + 2*g. Let p be (-8)\/2 - (8 - g). What is the nearest to p in y, 0.6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w + 1. Let l be j(-2). Let g be (-2)\/(-6)*(17 + -18). Which is the closest to l? (a) g (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 21*u**2 + 112*u - 45. Let d be b(12). Solve -2*j + d*t = 26, -j + 3*t + 13 = 8*t for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:24 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -2)\/((-4)\/(-4)). Let b(o) = o**2 - 5*o + 118. Let w(x) = 4*x**2 + 4*x + 6. Calculate the remainder when b(l) is divided by w(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16650\/(-1008) + (-16)\/(-112) - (-6)\/16.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*z - 1 = 0, -z - 3372 = l - 3373 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00191402285 rounded to six dps?\nAnswer: 0.001914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.7 - -44.3. What is the second smallest value in b, 3\/5, 4\/41?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 103854, 207825, 311922, 416145?\n\"Answer: 63*o**2 + 103782*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32.8338+4\nAnswer: -28.8338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27)\/(2 - (-4494)\/(-2268)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2051898?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 30*a - 1581. What is s(52)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 - 2*m**2 + 3*m - 2. Let d be x(1). Sort -1, d, 4 in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14184 - 14081. Calculate the greatest common divisor of b and 4017.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*s - 64*s + 3 + 5 + 61*s to the form d*s + j and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/120 - 11*v**4\/48 + 5*v**3\/6 + 52*v**2 + v. Let a(z) = 0. Calculate z.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = 8. Suppose h*d = -0 + 4. Factor -2 - d*p**2 - 4*p + 2.\nAnswer: -2*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + k**2 + 2*k + 2*k**3 + (0*k**2 - k**2 + 3*k**2)*(-12*k + 32*k + 25*k) to the form q*k**2 + j*k + n + h*k**3 and give h.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -84, -95, -102, -105, -104, -99?\n\"Answer: 2*m**2 - 21*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15b + 0?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2543040\/352 - (-30)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*n**4 + n**3 - 17*n**2 - 127*n + 11212116 wrt n.\nAnswer: -84*n**3 + 3*n**2 - 34*n - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -5*o + 9 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 163*j - 1633. What is d(11)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = -48*l - 72. Suppose -71438 = -l*h - 11*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 3. Suppose 0 = -0*a + a - 4. Suppose 0 = -b - b + 2, -a*o + 163 = 3*b. Let r(p) = 82*p - 44*p - o*p. Give r(s(z)).\nAnswer: 4*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j. Solve j = 3*o + 12, -7*o = 3*a - 2*o + 29 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 + 280. Solve 0*x - 1 = -3*x - 4*q, 4*q = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = q + 6, 5*k + 4 = 2*q. Let p be k - -260 - (-4 - (-4)\/2). Calculate the common denominator of 0 + -3 - 611\/p and 59\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -18. Let q = r + -33. Factor 0 - 2\/11*h - 2\/11*h**q.\nAnswer: -2*h*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 - 14*w - 27. List the prime factors of m(15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 - 331*w + 99. Let z be k(50). Calculate the highest common factor of z and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 23*r**2 + 9*r + 33. Suppose v + v = -8. Let h(z) = -10*z + 3. What is the remainder when h(v) is divided by s(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41216921 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*g**5 + 27\/2*g**3 + 3*g + 0 - 21\/2*g**2 - 15\/2*g**4.\nAnswer: 3*g*(g - 2)*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 14*z**2 + 0*z**4 + 0*z**3 + 0*z - 17\/60*z**5 + 0. Let y(b) = -24*b**2 + 33*b**2 - 11*b**2. What is d(y(p))?\nAnswer: -68*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 0*g**2 + 0*g**2 + (2*g + 2*g - 5*g)*(-3418854*g**2 - 893*g**3 + 3418854*g**2).\nAnswer: 891*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001283 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-150 - -142)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.83 + 105.17. Let y = u - 105.9999891. What is y rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, r: 3, g: 4}. What is prob of sequence ara?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5 in ascending order.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 745441 or 679?\nAnswer: 679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7300 = 1053*k - 1426*k + 586 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4736*n + 2855. List the prime factors of s(7).\nAnswer: 36007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 1\/4, -35.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87476*z**3 - 73696.\nAnswer: 262428*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 10. Let h be j(-10). What is the common denominator of (-438)\/20 - (-6)\/h and -21\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 3*w**2 - w - 4. Let b = 39 - 42. Let m be a(b). Let y(v) = -10*v**2 - 2*v - 12. Let f(h) = h**2 + 1. Calculate m*y(p) - 12*f(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.03593 rounded to 1 decimal place?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 17462140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n + 61. Let p be (-1)\/(-5 + (-216)\/(-42)). Let j be q(p). Solve j*k = -2*k + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nulc when four letters picked without replacement from {u: 2, c: 2, t: 1, n: 4, l: 10}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 4 + 6*u**2 - 3*u**3 + 2*u**3 + u. Let p be j(6). What are the prime factors of (p\/3)\/((-4)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 + 0*x**2 + 0*x**2)*(-21*x - 2*x + 14*x)*(-16 + 7 - 2) to the form u*x**3 + m*x**2 + p*x + q and give u.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3036?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 50139951*z\/2.\nAnswer: z*(z - 50139951)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:05 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5 in decreasing order.\nAnswer: 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827691 divided by -13?\nAnswer: 1827691\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -787\/21 + 1716\/7. Let p = 206 - l. Let n be (16\/(-96))\/(4\/6). What is the closest to n in 5, p, -9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1026*r**2 + 1994*r**2 - 1017*r**2 - 1.\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**18)\/(q\/(q**(-2\/57)*q)) assuming q is positive.\nAnswer: q**(1081\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/111 - -1831\/888. Let u be 0 + (-134115)\/12056 + -1. Let b = 1\/1507 - u. Find the common denominator of f and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13536? (a) 3\/8 (b) 2.28 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6762\/(-91287)*-2*(-6)\/(-8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, -33, 0.07, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-40))\/(86\/1075). Solve -8*j = 5*w - 12*j, -5 = s*w - 3*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1231.8 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7197681 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 7) to base 15\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 48. Let n(p) = -5*p**3 - 5*p**2 + 8*p - 6. Let k(g) = -3*g**3 - 3*g**2 + 5*g - 4. Let o(i) = h*n(i) - 8*k(i). Calculate o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8535671371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 7*o**2. Let p(u) = 2*u**2 - 7*u**2 + 4*u**2. Let v(f) = f**2 - 2*f - 3. Let q be v(3). Suppose q*c + 4*c = -24. Calculate c*p(h) - g(h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + m)*(-5*m + 3*m - 6*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75.6 + 76. Put -0.05, 3, a in increasing order.\nAnswer: -0.05, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + (-119)\/7)\/((-6)\/(-26)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 26736 = -3*h + 21881, 5*h - 3*a - 81027 = 0. Let b be (h\/(-5))\/2 + 2. Let j = b - -1613. Calculate the common denominator of j and 11\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5796\/(-32))\/69 + 790\/(-16)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24667.5618 milliseconds to days.\nAnswer: 0.0002855041875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7414 divided by -1.\nAnswer: -7414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - l - 4. Let t be g(0). Sort 0, 2, t, -3 in increasing order.\nAnswer: t, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(3168)*3)\/(sqrt(44)\/(sqrt(4)*-2) - 4*sqrt(22)\/sqrt(2)))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 371109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/(-18))\/((-11)\/198).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/25*(-240)\/(-64)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s*t**3 + 84*s*t - 10*t**3 + 2*t**2 + 2*t wrt t?\nAnswer: -24*s*t - 60*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5 and -34\/209.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1409 - 797. Let c = h - 552. Calculate the least common multiple of c and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-272))\/((-17210)\/(-1101440)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46502887.\nAnswer: 46502887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h - 722 + 1420 + 79*h - 698.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6041 + 93*c - 6041)*((3 - 2 - 3)*(4 + 2 - 4) - 3 + 5 + 0).\nAnswer: -186*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + b + 6 = 0, -4*b = -4*u - 3*b + 9. Suppose 0 = -3*o + u*f + 134 + 61, o - 53 = -5*f. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c**3 + 4*c**2 + 8*c + 5. Let h(t) = 12*t**3 - 5*t**2 - 9*t - 6. Determine 5*h(b) + 6*v(b).\nAnswer: -6*b**3 - b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 44. List the prime factors of ((-1)\/2)\/((7 + l)\/(-11988)).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2880 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 79737 times 5\nAnswer: 398685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**3\/3 - 5*t**2 + 28*t + 45. Let o be b(-12). Solve -o*v + m + 7 + 5 = 0, -5*v - 4*m = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 103*i - 613. Give v(-86).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/3)\/((-248)\/(-93))*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 13. Is 131 - (-3)\/(y\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 28*n + 67. Determine m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*v, 0 = -5*g - v - 11 - 5. List the prime factors of 57*(-224)\/(-21)*(-2)\/g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - q - 21 = b, 0 = -q - 5*b + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3227 - -6393. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000417264911 rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 - 22 = 0. Let p = 761 - o. List the prime factors of p.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -97641\nAnswer: 1952820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(-c**2 - 2*c + 2*c) - 3*c**2 + c**2 + c**2 + (20*c - 25*c - 48*c)*(-2*c + 3*c + 0*c) to the form x + q*c + z*c**2 and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433 - -433.06. What is the third smallest value in 9\/4, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-2*(-1)\/2. Suppose 14*i - 5*i - 6886 = -2404. Let k(l) = -i + 2*l**v + 498. Let y(q) = -37*q. Give k(y(u)).\nAnswer: 2738*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2647, -2707, -2799, -2917, -3055?\nAnswer: -3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*f = -37, -2*g - 4*f = -4*g + 2. Let y = 8 + g. Let m(h) = -h**2 + 3*h + 2. What is the units digit of m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406200 divided by -50?\nAnswer: -68124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99b326 (base 12) to base 9.\nAnswer: -4536633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451302989*h + h**3 + 451302989*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - q + 1. Let x be s(2). Suppose -x*n + 44 = -3*n. Suppose 0 = 4*p + 3 - n. Solve 4*b - 28 = p*z + 2*z, -z + 1 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*h + 15 = 0, 6305 = 3*i - 4*h + 6276 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -485*w + 447 + 426 - 813 + 155*w**2.\nAnswer: 5*(w - 3)*(31*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3298 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 391229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 12*z + 3 - 23*z - 9 + 1934*z**2 - 1933*z**2.\nAnswer: z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b - 2*b)*(5*b**3 - 3*b**3 - 32*b**3).\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 1316*z - 14 - 90 - 3*z**3 + 2*z**2 + 1318*z to g*z**3 + s*z**2 + y*z + u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6)*58 - -1. Suppose 0 = -7*o + o + m. Suppose 47 = o*i + 17. Calculate the smallest common multiple of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15254 (base 6) to base 13\nAnswer: -118c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/6)\/(49\/21). Sort -2\/3, -1\/4, j in descending order.\nAnswer: -1\/4, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1436, 1489, 1642, 1949, 2464, 3241?\n\"Answer: 9*a**3 - 4*a**2 + 2*a + 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 8:30 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 2\/7 (b) -3 (c) -2\/5 (d) 151 (e) 2 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -24892.\nAnswer: -99568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294582 - 0.93743.\nAnswer: 294581.06257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:42 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-28)*26\/26\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76\/75 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtwnn. Give prob of picking 1 m, 1 t, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*w + 4*w + 940, -705 = -3*h - 4*w. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03253 to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -174 and -0.094?\nAnswer: 173.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 385, 785, 1185?\n\"Answer: 400*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -2 - -264 - (-3 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*t. Suppose t = v - 4*v. Suppose v = 5*k - 20, -4*g - 4*k = k - 76. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 5 (b) -1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 less than -166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by 151\nAnswer: 236\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/4 - r**4\/12 - 17*r**3\/2 + 6401*r**2\/2 - 3145*r. Differentiate u(x) with respect to x.\nAnswer: -15*x**2 - 2*x - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 29. Suppose -a = 4 - h. Let r be (-16)\/(-4) + a*46. What is the highest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -469 + 46598*s + 46598*s - 93194*s to the form f*s + g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 8742\/(-564)*(-8)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101 + -32?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-3)\/(-3) - 0). Suppose 4*x = 7*x - 15. Suppose -12 = -2*q + 2*s + 40, x*q + 3*s - 162 = o. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 14*u. Let m(b) = 4*b**3 + 404*b**2 - 1180*b. Let i(c) = -4*d(c) - m(c). Determine q so that i(q) = 0.\nAnswer: -103, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Let g = -2.5 - -2.3. Is g greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 12*u**2 - 4. Give m(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4079 = -4*r + 76*r - 529. Solve -u - 57 = -r for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*j, -p - 17*j - 3368 = -13*j. Round p to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.6. Let n = l + -0.3. Put 0.3, n, 0.2 in increasing order.\nAnswer: n, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053062513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -5\/3, -1\/3, 0, 12.52, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 72 = -a, 4*j - 57 = -a + 5*j. Calculate the remainder when a is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304011495\/427 + 2\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from nzqjqwaazazjqza.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/8 - 2\/(-4). Suppose c*w = 4*u + 5*w - 804, 0 = -3*w. Is (-3)\/((-9)\/u) + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 86.3 and -43647919841.\nAnswer: -43647919754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let r(g) be the second derivative of g**4\/12 - g**2 + g. Let j(u) be the first derivative of r(u). What is j(p(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -3. What is the remainder when 22 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590575?\nAnswer: 5, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5571730823.\nAnswer: 73561, 75743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 + 124*g**3 - 1036*g**2 + 1284*g + 2448 = 0. Calculate g.\nAnswer: -1, 3, 12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.04\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -27*b**3 - 36*b**2 + 36*b + 36. Let s be (54\/(-36))\/(6\/20). Let f(m) = -4*m**3 - 5*m**2 + 5*m + 5. Give s*z(a) + 36*f(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*k**6 - 87*k**2 wrt k.\nAnswer: 19320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10041550 and 150.\nAnswer: 30124650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 9*z - 7. Let a be w(-9). Let j(r) = -r**2 - 9*r - 3. Is 6 a factor of j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-5))\/(-14)*18\/96?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -592, -95, 404, 905, 1408, 1913?\n\"Answer: t**2 + 494*t - 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -3 (c) 0.05 (d) -0.03 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + ((-24)\/(-16))\/((-852)\/(-954238)). Let j = -1684 + i. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b = -b. Suppose -2*f - 4 = -4*f - o, b = -2*o. Suppose 3*d - 3 = w + 9, w - 3 = -f*d. Solve -2*c + d*y = -8, 5*y - 1 + 5 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. Suppose -k*s + 87 = -2*n, -4*s - n + 78 - 11 = 0. Suppose 0 = c - s + 5. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -4 - (-413 - -368)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 23194396 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-202)\/(346632\/924)*1\/14*20\/(-15).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + 1021555?\nAnswer: 1021504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 244742.6 litres?\nAnswer: 244742600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 + 131.1. What is the fourth smallest value in y, 1\/17, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-5\/14) assuming d is positive.\nAnswer: d**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 + 79*y - 464. Calculate x(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.08, -0.4, -31.1, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 2, l: 1, a: 1}. What is prob of sequence laa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -76. Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(10 + -3 - 2). Suppose 2*w = 6, -r + 127 = 4*z + 3*w. Calculate the remainder when z is divided by (8\/(-12) + -1 + 2)*21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63\/8? (a) 354 (b) 29 (c) 0.4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 5*f + 0*f + 5*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 44. Suppose -6*j + 236 = -460. Suppose -z*g + j = -60. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 3, -3, 3.275, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:08 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 0.028950484?\nAnswer: 0.028950484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 8*n - 43. Determine r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + (-10)\/35. Suppose -7*v - 428 + 442 = 0. Suppose 5*p - 412 = v*q, 3*p - 4*q - 236 = -r*p. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -45862450 take away -11214?\nAnswer: -45851236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o + 16. Let a(y) = -5*y - 29. Let u be a(-7). What is the common denominator of -133\/6 and ((-49)\/18)\/(o\/u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -10, -1, -3, 12 in increasing order.\nAnswer: -10, -6, -5, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2731740?\nAnswer: 2, 3, 5, 11, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 130282751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 9*s + 7. Let c be j(-8). Let w = c + -1. Let p(u) = -u. Let q be p(-10). Put -4, q, w in descending order.\nAnswer: q, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806377053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*i**2 - 4599*i**6 + i**5 - 44*i**2 + 4597*i**6 wrt i?\nAnswer: -240*i**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 10 = 0. Suppose -4*m + 14 = -2*f, -m - 4*m = -l*f - 16. What are the prime factors of 2*(1 - f*12)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 4)*(0*g - 3*g + 2*g - 1 + 1 - 5*g + 5*g - g + 2*g + (3 + 1 - 6)*(4*g - 2*g - 3*g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 70*b**2 + 5*b - 2 + 78*b**2 wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539734557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 539455*h**2 - 56*h - 27. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-194)\/(-16) + 86\/(-688))*((-140)\/(-48) + 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)*j**4\/j)\/(j**(2\/3))**(-22))**(-9) assuming j is positive.\nAnswer: j**(-327\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16996*f**2 - 262*f + 9607831 wrt f?\nAnswer: -33992*f - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7464 + 29855\/4. What is the nearest to 0 in 0, 5\/2, -1\/40, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 20 = -2*d, -3*v - 21 = -3*d - 0*d. Determine s so that -662*s**3 + d*s**5 + 8*s**4 - 8*s**2 - 6*s - 3*s**5 + 666*s**3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1 - 16*y + y.\nAnswer: -15*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284689?\nAnswer: 7, 183527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-70)\/30 + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2422813 - 4411863. Let h = 2869041 + j. Suppose -2*w + w + 1099997 = 5*s, 4*s + 3*w - h = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, 47 in descending order.\nAnswer: 47, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 44. Let z be s(38). Solve -z*b = 90 - 78 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02337 minus 2?\nAnswer: -1.97663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61.4 * -0.5.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73988986943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -377 + 377.4. Which is the biggest value? (a) 0.01 (b) h (c) 0.039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22021212?\nAnswer: -22021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 151950544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 4442*y\/7 + 456408\/7.\nAnswer: 2*(y - 2113)*(y - 108)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a52aaa - 5?\nAnswer: -a53004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766 + 4*k - 2*k**2 - 766 - 4*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714 divided by 6?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-15)\/d*d*d\/(d**3*d)*d*(d\/(d**4\/d))\/d**5 assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21074 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9) + 2)*3. Let w(r) = r**3 - 4*r**2 - 3*r - 7. Let b be w(f). Suppose -12 + 2 = -b*q - 4*l, -3*q + 1 = -5*l. Solve -q*p + 0*p - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5, -0.5, -2\/21, -0.1, -0.48?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 48020973?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*((g*g**(2\/7))\/g)\/g)\/(g**(1\/16)*g))\/(g\/(g**10*g))**(-43))**(2\/5) assuming g is positive.\nAnswer: g**(-48247\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0. Let i = h - 0.2. Let k = -7 - -6. Which is the second smallest value? (a) i (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3301?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -12 + 36 + (-12 - 0) + -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4112656817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 2. Let g be y(-1). Which is the nearest to 1\/2? (a) 0 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d - 3. Let g(z) = -5*z + 2. Let q(y) = 10*g(y) + 6*o(y). Give q(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92888315 to the power of 1\/2, to the nearest integer?\nAnswer: 9638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.362813 decades in centuries?\nAnswer: 0.2362813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccscccssscccccacscc. Give prob of sequence sa.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 - 4)*(2*h - 3*h + 3*h) - 8*h - 3 + 3)*(0*h**2 - h**2 - 3*h**2)*(-2 - 1 + 2).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Suppose 2*f - 9*f = -7. What is the closest to f in q, -2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 1. Let q be g(0). Suppose 2*d - 3 = q. Suppose -77 = -3*f + 4*n, 152 = 5*f - d*n + 47. Solve 5*i = -o + f, 0*i = 4*i - 4*o + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 84 = 20. Let b be (3\/3)\/(2\/l). What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 271*k - 193*k - 3*k**2 - 348*k to the form j*k + c + o*k**2 and give j.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g + 2. Let d be w(-2). Suppose 2*f + 52 = -h + 5*h, -5*f = 4*h - d. Solve 5*r = -2*y + 18, -2*r - y - y + h = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 1 - (16 + -12 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x - 3*x)*(-1 + 2*x**3 + 173*x**2 - 214*x**2 + 0) to l*x**2 + j*x + s*x**4 + w*x**3 + a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-39))\/((-4)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*z + 571*z - 26330092*z**2 + 26330095*z**2 - 1139*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 48*h = -1159. Calculate the remainder when 530 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10085 at most 10079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (11 + (19 + 0 - (-62 - -64)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1940, 1984, 2028, 2072?\n\"Answer: 44*v + 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 311129, -4 in increasing order.\nAnswer: -5, -4, 311129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.307043 litres to millilitres.\nAnswer: 307.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -3*o + 0 + 1\/300*o**6 + 0*o**4 - 3*o**2 + 0*o**5 + 0*o**3. Let h(w) be the first derivative of d(w). What is u in h(u) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 92*d**2 + 992*d**2 - 200 - 158*d**2 + 200 to m + w*d**2 + k*d and give w.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.48 (c) -4 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 44*x**2 + 40*x + 225. Determine w(45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**4\/24 - v**3\/3 - 5*v**2. Let l be f(-6). Let n = -2 + 1.9. Which is the closest to -1? (a) -3 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -3\/5, -0.25, -3\/38?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (265*k - 19*k**3 - 266*k - 18*k**3 + 1)*(-2 + 2 - 2*k) as r*k**3 + x*k**2 + d*k**4 + w*k + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + 8 + -23 + 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*v - 242*v + 305*v)*(1 + 5*v**3 - 7*v**3 + 15*v**2 - 7*v**2).\nAnswer: 180*v**4 - 720*v**3 - 90*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:46 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81090962?\nAnswer: 2, 23, 337, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 124 * 203.3\nAnswer: 25209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 565528 and 2746?\nAnswer: 776469944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbkkyekbbbby. Give prob of picking 3 y.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2*b**5 + b**4\/2 - 8*b + 44. Let t(o) = o**4 - o**3 + o + 1. Let s(z) = -k(z) - 8*t(z). Factor s(v).\nAnswer: 2*v*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (57 + -62)*(24\/(-10))\/2. Let y(b) = w + 6*b + 8*b - 15*b + 3*b - b**2 + 2*b. What is y(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/22 and -69\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 0. Let b = l - 13. Let t = 6.9999948 + b. Round t to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 48\/6769 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o**2\/15 - 1764*o\/5 + 47850 = 0 for o.\nAnswer: -4125\/17, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.248 - 0.048. What is the closest to z in -5, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62764481411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 93*u - 10 - 90*u.\nAnswer: 3*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2*h**2 - 2*h + 1. Let k be n(1). Let x be 1*(2 + 6\/k). Suppose j - r - 2 = -2*r, -2*r + 10 = x*j. Solve g + 1 = -0, 3*g = j*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5335 - 4378. Calculate the highest common divisor of 609 and s.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence key when three letters picked without replacement from ykkyykeyyybykkq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*8\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1312.7 - 0.\nAnswer: -1312.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5 = 4*b - 25, 4*t = 3*b - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j + 1. Let n be g(-3). Let s = 41 - n. Suppose s*l + 2078 - 9075 = -5*i, l = 3*i - 4188. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 + (27 - 133) - -36?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 6\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -6*l + 115. What is the second derivative of -30*o**3 + 64*o + 18*o + l*o**3 + 47*o**3 wrt o?\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 220 * 1438\nAnswer: 316360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(18)\/(sqrt(726)*2))**2.\nAnswer: 4*sqrt(3)\/11 + 7747\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -110010101000 (base 2) to base 14\nAnswer: -1276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrltmtktklqrrlmtrk. Give prob of sequence lkk.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:21 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -384533.4 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10 - 1836\/680*12\/(-38)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169242838 divided by 4.\nAnswer: -84621419\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4409.5245 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*s + 187*s = k + 29, 0 = 5*k + s + 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6645 - -0.7045. What is the nearest to 0.1 in -0.3, 2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241134 - -5?\nAnswer: -241125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -14 - (-4 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4227152 and 79\/435148.\nAnswer: 29590064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (14 - ((9 - 2) + 1)) + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 2*t**2 + 13*t + 0 - 2*t + 10. Let z = 10 - 20. Let l be o(z). What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22357624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 4, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27876 divided by 230?\nAnswer: -606\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s + 483 - 494 + 29*s - 44*s.\nAnswer: s - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12233603, -24467210, -36700815, -48934418?\n\"Answer: b**2 - 12233610*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 83 = q, 2*q - 38 = -2*l. Suppose h + 7 - l = 0. Suppose 2*t + 16 = 6*t. Solve 0 = -s - t*s - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.72498 years?\nAnswer: 428.69976","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 25 - 0. Suppose 3*c + 3 = 9, -m*z = -c - 23. Suppose -5 = -3*l + 1. Solve -3*p - 5*w + z = 0, -3*p - 19 - 4 = -l*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - 21)*304\/(-28). Let s be (-37)\/3 + (-3)\/(-9). Let p = m + s. Calculate the remainder when p is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.1, -2\/19, -99, 1\/7, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/3*a**3 + a**2 + 4 + 0*a. What is the second derivative of y(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 1. Let g(t) = t**2 + 6*t. Let n be g(-5). Let v(w) = 2*w + 7. Let i be v(n). What is the units digit of b(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -11*a**5\/5 + 5*a - 7. Differentiate d(l) wrt l.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.09 - 3.44. Which is the third biggest value? (a) 3 (b) 1\/8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2565, 2499, 2413, 2307, 2181?\nAnswer: 2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - k**2 - 1 - 9*k**2 - 14*k**2 + 9*k**2 - k + k + 6*k**2 + 2 + 2*k**2 - 2 + (1 + 2 - 2)*(-3*k**2 + k**2 + 0*k**2) - 3*k**2 - 4*k**2 + 4*k**2.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 168. Let b(j) = 21*j**2 - 68*j**2 + 49*j**2. What is d(b(g))?\nAnswer: -8*g**4 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 1\/60*v**5 + 0*v + 4\/3*v**3 + 1\/3*v**4 - 3*v**2 + 0. Suppose 0*q - 2*q - 4*d = 12, -4*d = -3*q - 18. Determine w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1005 + 1000. What is the nearest to 0.2 in g, 14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j + t - 10, 0 = 2*j + t - 6. Let y(f) = 7*f + 2. Let l(q) = q + 1. Let m(g) = 4*l(g) - y(g). What is m(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o\/(o**(1\/6)*o)))\/o)\/o**(2\/35))**(1\/8)*((o**(2\/27)*o)\/(o*(o*o**(2\/17))\/o))**(2\/57) assuming o is positive.\nAnswer: o**(2009593\/14651280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*j**3 + 14*f*j**2 - 1545254*f*j*y**2 + 2*f - 4*j**3*y**2 - 2*j**3*y - 19*j**2*y + 12*j*y wrt y.\nAnswer: -3090508*f*j - 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76))\/sqrt(4) + 3.\nAnswer: -2*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 3*c**2\/2 + 5*c\/4.\nAnswer: c*(c - 5)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1643, -2977, -4311, -5645, -6979?\nAnswer: -8313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.6 + -12. Let y = a + -2.3. Let h = y - -0.1. What is the third smallest value in h, -4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27017 (base 10) to base 5\nAnswer: -1331032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910943492.\nAnswer: 2, 521, 437113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/3 + -109\/21. What is the second biggest value in 2, f, -0.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.25 - 0.75. Let x = 10.9 + -11. Let s = 14 - 5. What is the nearest to x in h, 4\/7, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*-1 + 2. Suppose 2*u - 3*a + 8 = 0, u + 191 = -3*a + 187. Put r, -1, u in descending order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 81*p**2\/2 - 93*p - 294. What is the tens digit of k(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 158*d + 6137. Give r(-72).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -86, -94, -102, -110, -118?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*b - 4*k, 0 = 4*k + k. Let v be b\/((-10)\/3 + 4). Let d = v - 6. Solve -9 = d*q, -4*q - 35 = -5*n + q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127085 by -5.\nAnswer: -25417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54600 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-10)*(-8)\/(-3). Let j be -1 + 6 + (-11 - -7). Solve 0 = -u*r - 19 - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -475 + 28. Solve 153*w - 307*w - 5*w**2 + q*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11745*c**2 - 5885*c**2 - 5862*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0100856 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/1*((-4558)\/(-129))\/106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2673 + 5005 = 443*v - 3870 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 30110847?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -399 and 90318.\nAnswer: -36036882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**3*c**4 + 6*b**3 + b**2 + 234*b*c**4 - b*c + 1497*c wrt c.\nAnswer: 240*b**3*c**2 + 2808*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:58 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 7\/3, 1, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 625272 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = z - 9, -5*z + 20 = 0. Let l(w) = 15*w + 2*w**p - 40*w + 12*w - 11 + 15*w. List the prime factors of l(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(252) - 1*sqrt(252)) + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832))\/sqrt(4) + (sqrt(39)\/sqrt(3))**2*-5 + 1.\nAnswer: -64 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4940.378 millennia?\nAnswer: 59284536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*a - 48 = -4*s, 0 = -4*s - 3*a + 44. Let w be s\/(0 - 3\/(-21)). Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -186*(10\/3 + -2). Let i = -467 - -832. Let p = g + i. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 651\/9 + 15\/(-45). What is the remainder when ((c\/(-14))\/(-1))\/((-18)\/(-819)) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (0 + 0)) + (-193 - -188)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/15 - 17292*a**3\/5 - 333002*a**2 - 91049024*a\/15 - 155405624\/5 = 0.\nAnswer: -74, -11, 26034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -946 or -947?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -13*k + 326. What is h(24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*y**3 - 7 - 4039*y**3 + 722*y**3.\nAnswer: -3227*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06618 + 197.06618. What is the nearest to 1 in 2\/15, o, 2, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -m + 13. What is the least common multiple of m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from {d: 1, y: 5, j: 2, f: 1, c: 3, t: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 9) + 10 + 1 + 36?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5877 is divided by 328?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.39 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 1 + 8 - 6*k. Let z be ((-64)\/112)\/((-2)\/21). Calculate s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1581464 - 86984457\/55. Let j = -357\/5 - t. Determine c so that 24\/11*c - j*c**4 - 26\/11*c**2 + 12\/11*c**3 - 8\/11 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 58652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**4\/4 + 5*s**3\/3 - 3*s**2\/2 + 18. Calculate t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let f be 1*31 - (4 - b). What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (-181)\/(-2))*(-4 + 2). Let y = w + 162. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/11 - 7*d**2\/11 + 10*d\/11.\nAnswer: d*(d - 5)*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60575287 * 3.\nAnswer: 181725861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/113 and -24\/5?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -135 (b) 15 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + -2 - (-4)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6. Let v = 5.1 - 5.4. Which is the third smallest value? (a) v (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58628426 divided by 23\nAnswer: -2549062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((16 + -9 - -9) + -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/3 - 80*z**3\/3 - 616*z**2\/3 + 3872*z\/3 = 0.\nAnswer: -22, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/24047 - 2286037\/6300314. Find the common denominator of 47\/18 and w.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-75))\/(8*3\/(-15))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 61685*c - 185072. Determine v(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4735.433nm to meters.\nAnswer: 0.000004735433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s**2 + 10707*s + 2075. Give r(510).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -165 + (-13 - 2 - -36)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15158 and 11583?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(440\/(-32))*(-50)\/5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 13. Suppose 0*x + 4*x + 40 = 3*w, -x + r = 3*w. Let t(h) = h**2 - 5*h + 2. Let v be t(6). Calculate the highest common factor of v and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 281176 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c7c27 - b?\nAnswer: 2c7c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-6 - -19) + 4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-14 - -1 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -9*r + 18*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrgrrrrrywtrgyy. What is prob of picking 2 r?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 194 - 14 = 0. Let s(v) = -v**3 + 28*v**2 + 8*v - 44. Let w be s(28). Calculate the highest common factor of w and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + (5 - 1 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36160\/7 + 5164. Is s < 200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010000111 - 101?\nAnswer: 111010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/21*-1*(-1848)\/528. Sort 2, 18, 7, h, 5.\nAnswer: h, 2, 5, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 0*a + 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(28) - sqrt(7)) + 2)**2.\nAnswer: 20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 33*o**4 + 5*o**3 - 10. Suppose -10*j = -4*j - 30. Let b(y) = y**4 + y**3. Let z(q) = j*b(q) - u(q). Differentiate z(c) wrt c.\nAnswer: -112*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:11 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -225 - -14. Let h = d + 211. Solve h*b + 8\/11 - 2\/11*b**2 = 0 for b.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + w**2 - 2286*w + 2287*w + 32*w**3 + 2 to the form i*w**2 + d + b*w + o*w**3 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = m - 5*y, -m - 2*y = -6*y - 42. Let x = m + 7. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-14 + 1) - (-14 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/40)\/(2\/(-10)). Let s(z) = -3*z + 7. Let a be s(6). Let q be 2\/(-8) - a\/(-4). Put q, k, 0 in increasing order.\nAnswer: k, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 - 5*v - 2. Let u(o) = -o**2 - o. Suppose 10 = 2*i, 2*w + w = -3*i + 18. Determine w*h(j) - 6*u(j).\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -16.03. Which is the second smallest value? (a) n (b) 0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**3 - 3*c + 5*c + 15*c**3 + (c + 0*c + c)*(-88*c**2 - 127*c**2 + 244*c**2).\nAnswer: 62*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53306956*w**2 - 50720203?\nAnswer: 106613912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let z(p) = 7*p - 8. Let g(o) = -4*q(o) - z(o). Determine g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)*u**(2\/5))**(-26)*(u\/((u\/(u\/u**(-2\/3)))\/u))**(-3\/46)*u**(-4)\/(u**(-1)*u*u) assuming u is positive.\nAnswer: u**(5684\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463435875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 3532400.\nAnswer: 10597200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865675 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216354 + 216354 - 78*k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 7*p**2 + 9*p - 68. Let x be f(10). Let r = x + -1654. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140782 and 2924.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4410 (base 10) to base 3\nAnswer: -20001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166220.\nAnswer: 2, 3, 5, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 18*h. Put 5, h, -3, -1 in descending order.\nAnswer: 5, h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15457611?\nAnswer: 3, 13, 396349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z - 75 = 172*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 13677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35423, 35369, 35269, 35123, 34931, 34693?\n\"Answer: -23*o**2 + 15*o + 35431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from txxtqdl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g + 16. Let m(l) = 26*l + 128. Let k be m(-22). Let v = k + 437. Let n(q) = -4*q - 8. Determine v*n(w) - 3*o(w).\nAnswer: w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/(sqrt(5) - sqrt(45) - sqrt(5)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 42592*z. Let p(d) = -139*d**2. Give p(s(o)).\nAnswer: -252156906496*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312866.\nAnswer: 2, 311, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*i + 50*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.5 (c) 4 (d) -1\/4 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/9 + (-12)\/18 - 14. Let z be (-24)\/(-14) - (2 + l\/7). Differentiate 17 + 2*n - z*n - 25*n**2 + 54*n**2 wrt n.\nAnswer: 58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9)*-9 + -4. Suppose 5*f = 3*q + 2392, j = 2*q - 0*q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -17*p**6\/6 - 4*p**2 + 26. Find the second derivative of o(z) wrt z.\nAnswer: -340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**2 - 3 + 3*i**2 + 2*i**3 + 23*i + 1 - 44*i to j*i + q*i**3 + x + k*i**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 2, d: 1, a: 2}. Give prob of sequence agd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -3a83b?\nAnswer: 3a82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1. Let v(r) = -r**2 + 10*r - 3. Let t(s) = -6*p(s) + v(s). Let l = -116 - -124. Is t(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.03118024.\nAnswer: 0.12472096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001394182494 rounded to 7 dps?\nAnswer: 0.0013942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 smaller than -5587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -670 - 664 + 2002 - h**2 - 668. Let p(f) = 431*f. Calculate p(s(x)).\nAnswer: -431*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 5*v**2 + 4*v. Let r be d(-4). Let x = -15 - -15.2. Which is the nearest to -0.3? (a) x (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d4a - a?\nAnswer: -1d55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 445\nAnswer: -3\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose -4*p + 10 = -i*p. Let l be 432\/20 + 4\/p. What is the greatest common factor of l and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239 - 35. Let h = d - -405. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 979144*v\/9 + 119840371592\/9.\nAnswer: 2*(v - 244786)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31.32, -5, 0.5, -0.3, 2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5157 divide 1091570741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.501025 grams to milligrams.\nAnswer: 8501.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -55, -106, -167, -232, -295?\n\"Answer: c**3 - 14*c**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*z + 1104*z**3 + 4*z**2 - 176*z**5 - 1104*z**3 wrt z?\nAnswer: -10560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 67821?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d)\/(d\/d**(-29)) assuming d is positive.\nAnswer: d**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33314 - 133257\/4. Which is the fourth biggest value? (a) -2\/7 (b) -4 (c) v (d) -233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 71*z - 2192. What is q(23)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/9, 5, -1850 in decreasing order.\nAnswer: 5, 5\/9, -3, -1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 9) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 14*o + 9. Let c be n(-12). Let v = c - -19. Suppose 157 = 2*a + 5*b, 5*a + 2*b - 349 = v*b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123104 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 4*i + 3. Let l be w(-2). What is the units digit of 32 + 14 - (l*1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2 - m + 2. Let v be y(-2). Solve 3*b + v = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 71, 97, 107, 95?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2973884*s - 14562. Let b(y) = -817*y - 4. Let m(a) = -7281*b(a) + 2*k(a). Let x(o) = -o. Give m(x(i)).\nAnswer: -809*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvvvvcvgvca. Give prob of picking 2 c, 1 a, and 1 g.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 - 212*l - 111. Calculate u(-38).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 2 + 8*x**4 - x**3 + 5*x**4 - 11*x**4 to f*x + i + y*x**3 + d*x**4 + s*x**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u + 4*u + 27 + 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*n + 70 = 464*n. Let j(f) = 21*f + 14. Let i(x) = -x - 1. What is n*i(g) + j(g)?\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -12 - (6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 - 26*d + 1. Let w(k) = 11*k**2 + 24*k - 2. Give 6*q(r) + 5*w(r).\nAnswer: r**2 - 36*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9 - -23. Let x = -87334.1027 + 87328. Let g = x + y. Round g to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x + 162647500. Let l = 19149500 + x. Round l to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/5 less than or equal to -3521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d**2 - 129*d - 1558. Give q(-14).\nAnswer: 2600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + 0 + sqrt(605) + 0)**2)*-4.\nAnswer: -2480 + 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - i + 6*i)*(-3 - 2 - 1)*(0 - 3 + 2) to j + d*i and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 6 - 7*s**2)*(2*s**2 + 0 + 0) - 2*s**4 + s**3 - s**3 + (s - 2*s + 2*s)*(2*s**3 - 5*s**3 + 0*s**3))*(-30*s + 74*s + 12*s).\nAnswer: -1064*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 4*u**6\/9 - 2*u**5\/3 + u**4\/12 + u**3\/9 - 47. Let j(h) = 0. Calculate h.\nAnswer: -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3074692857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1180 + 1203. Solve -3*u - m = -9 - 5, -u - 4*m + k = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from ggppggppgpgppgggpggp?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 39693*n**2. Let t(s) = -33*s. What is b(t(p))?\nAnswer: 43225677*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 4. Suppose 0 = -2*i + z + 34, 2*i - 52 = -i + 2*z. Let a(m) = -1 - 26*m + 9*m + i*m. Calculate 2*a(s) + c(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 3, h: 4}. What is prob of picking 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 35bc342?\nAnswer: -35bc347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/275*-5 - 2\/(-5). Suppose -2*v + q + 10 = 0, -5*v - 3*q + 21 - 7 = w. Solve d + 1 = -v*d - 3*l, -15 = -5*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*w + 3*w - 31*w + 10*w - 84 + 13*w as d + s*w and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 100, 194, 324, 496, 716, 990?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 2. Let v = n + 4. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73009000 by 73009.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from vnzqqqnvjnzzjvnn?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 5*o + 4*o. Suppose b = 4*u + 67, -3*b + 7*b - 268 = 4*u. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = 3*n + 6, 3*y + 13 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215311 = -29*m + 214470 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861*b - 7875 = 28287 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3596 and 1318572.\nAnswer: 40875732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuubuu. What is prob of sequence uu?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let l(i) be the third derivative of -i**7\/504 + i**5\/30 - 2*i**2. Let t(c) be the third derivative of l(c). What is t(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326522 to the power of 1\/2, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 26, 67, 126, 203, 298?\n\"Answer: 9*a**2 - 4*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 12*w + 3*w - 259. Solve 0 = -2*g - w + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z - 100. Suppose -5*w + 2*p - 190 = -0*p, 0 = w - 2*p + 30. Let a = z - w. Is a at least 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507 - 495.44. Let z = 0.56 - d. Which is the third smallest value? (a) -0.4 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 - 3*x - 2. Let h be o(-2). Let s(z) = -33*z + 11. Is s(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 + 26*o**2 - 26*o**2 + o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose 5*l - 30 = -f, -l - n*l = -4*f. Let b(t) = 5*t**2 - 2*t + 6. Let z be b(l). What is the greatest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - (-7 - -3) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*j - 98021 + 97173 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33111 (base 4) to base 7\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(-25)\/((v\/((v**(3\/5)\/v*v*v*v*v)\/v)*v)\/v*v**(-1\/2)) assuming v is positive.\nAnswer: v**(121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5022821 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3)*t)\/t**1*(t\/(t\/(t**(-1\/5)\/t)))**(-3\/22) assuming t is positive.\nAnswer: t**(137\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54511 - -22?\nAnswer: 54533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 2.7 (c) 0.5 (d) 1 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/7 - 40*t**4\/7 - 18*t**3 + 520*t**2\/7 + 2528*t\/7 + 1920\/7 = 0. What is t?\nAnswer: -15, -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30122441 (base 5) to base 14.\nAnswer: 63201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218250291.\nAnswer: 467, 743, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -700 + 747. Let h = 88899733 + -88899686.0000084. Let p = h - a. What is p rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684876208 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, s: 2, j: 1, z: 1}. What is prob of sequence bsjb?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:59 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 501*t*y**3 - 37*t*y - 553*t + 2*y**3 + 8716928 with respect to t.\nAnswer: 501*y**3 - 37*y - 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 9. Let k be i(5). Suppose 0*r - 2 = 4*d + r, 0 = d + r - 1. Put d, 3, k in decreasing order.\nAnswer: k, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:36 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(sqrt(425) + -1)*-6*-4 + 3*(-2*sqrt(425) + 0) + 5))**2.\nAnswer: -217500*sqrt(17) + 9583525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 7. Suppose -3*d + r = x, 5*d + x = 24 - 9. Solve -3 = d*a - 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1900) + sqrt(1900) + 5 + (sqrt(1900) - sqrt(1900)*-2) + sqrt(1900) + sqrt(1900) - (sqrt(1900) + -4 + 0 + sqrt(1900) - sqrt(1900)))*5)**2.\nAnswer: 27600*sqrt(19) + 1712116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29876 and 29876.\nAnswer: 29876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9057.219 centimeters?\nAnswer: 90.57219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2741 and -32878.\nAnswer: -90118598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69778909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p - 34*p + 543 = -4605 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*a**5 - 64*a**3*s - 152*a**2*s - 4*a - s - 4 wrt a?\nAnswer: -8520*a**2 - 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42522\/(-1492))\/(2*(-2)\/6856)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 17)*(4 + -3). Let p = -2 - o. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 22287552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*u + 96 = -328*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -189. What is the highest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -7, -3\/5, -1\/5, 4, 3\/83?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -11 - 4 - (2 + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 4. Let c be d(3). Let x(s) = -c*s**2 - s**2 + 2*s - 2*s. Let h(u) = -u**2. What is x(h(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166.899 + -167.5. Are 0 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 20 - 20 + (a - 3*a + a)*(5 - 2 - 5))*(-a**3 + 2*a**2 - 2*a**2) - 324*a**4 + 102*a**4 + 144*a**4.\nAnswer: -73*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2299) + -1*sqrt(2299) + sqrt(2299))*-3 + 3 + sqrt(2299) + 1)**2.\nAnswer: -352*sqrt(19) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odw when three letters picked without replacement from wwodwowowwowo?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 - -195.7. What is the biggest value in v, 12, 4\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -23*45\/((-5)\/1) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(75)*-1*-2 - sqrt(75)))**2 - -5*(5*(sqrt(300) + 0 + sqrt(300)))**2.\nAnswer: 50*sqrt(3) + 150100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 291924859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1082 (c) 0.3 (d) 0.0725489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-12))\/t*t)**39 assuming t is positive.\nAnswer: t**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 29*t - 216 + 74 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318635839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1588*s**2 + 1434*s**2 + 2724*s**2 + 940*s**2 - 607*s**2 to z*s**2 + x + n*s and give z.\nAnswer: 6079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8249*m - 760 = -8289*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 913150*i + 913155 = 0. Calculate i.\nAnswer: -182631, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/636 and 41\/1416160.\nAnswer: 4248480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - 5062287?\nAnswer: -5062323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -77. Let z = -11 - 25. Let i = b - z. What is the remainder when 55 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2. Let i(j) = -2*j + 6. Let b(u) = 3*u - 11. Let c(m) = 6*b(m) + 11*i(m). Calculate c(t(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -851*f + 15. Let k be l(-18). Let n = k + -38333. Round n to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55242 divided by 1782\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241, -5, 0 in ascending order.\nAnswer: -241, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 6. Suppose r = x*r. Let g be (3 - (-6)\/(-2))\/(40 - 41). Solve 5*s + r*s = g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-2))\/((-10)\/30). Let l = -28 - r. Suppose -4*t = 5*t. Solve z = t, -4*x + l*z - 7 - 5 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 825, 823, 809, 777, 721, 635, 513, 349?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 3\/7, 13, -1\/2, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-187 - -114) + -7?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111339, -223228, -335131, -447054, -559003, -670984, -783003, -895066?\nAnswer: -1007179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 2*j - 30. Let m(z) = -7*z**2 + 4*z - 55. Let a(f) = -6*m(f) + 11*w(f). Solve a(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/p**1*p*p))\/p)\/p)**(-4\/7))**20\/(p**(-6)*p\/(p*p**(-3)*p)*p)**(-12\/5) assuming p is positive.\nAnswer: p**(948\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 9*n - 2. Let z be w(-4). What is the tens digit of -2 + -1 - (-2 - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 96 - 11 = -5*g, 5*q + 2*g + 562 = 0. Let l be (-8)\/14*q\/32. Solve -5*x + 20 = -l*w, 8 = -3*w + w - x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4178?\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/415 (b) -0.2 (c) -0.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:17 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fch when three letters picked without replacement from ookvhcvkf?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 613 + 1609 + 5959. Which is bigger: 908 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(24)*3 - (2*sqrt(288))\/sqrt(12))\/((-1*sqrt(48))\/sqrt(6) - (sqrt(8) - sqrt(40)\/sqrt(5)*-5)))**2.\nAnswer: 48\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + l + 20 = -4*l, 0 = -4*o + 2*l + 26. Suppose o*j = 2*j + 21. What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/7*2 + -3*18274\/(-42) is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 - 3) + (1144 - 1168)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) + (183\/(-7))\/3. Let k be (6\/l)\/(-3 - 24\/(-9)). Determine f so that 3\/5 - 1\/5*f**3 + f + 1\/5*f**k = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapppepc. What is prob of sequence cp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14751241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/10 - ((-2121)\/6 - 1).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, -9, 4, 1 in decreasing order.\nAnswer: 26, 4, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-48))\/(78\/208).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 - 2086276865\nAnswer: -2086276861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15))\/(7\/112 + 462\/(-480))\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12 + 8*i + 9.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 7 + 1, -r = -3*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 783 - -1061?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-40))\/((-2)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1276 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:31 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 60.8. Let x = -8 - y. Let h = 478 - 482. Which is the smallest value? (a) h (b) x (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27*b**2 - 4*b + 7. Let n(g) = -13*g**2 + 2*g - 3. Let i = -16 - -20. Let c(u) = i*t(u) + 9*n(u). What is c(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285217 divided by 7?\nAnswer: 285217\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 3, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let n = 1.5 - w. Let x = n + -0.6. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -0.4, -586099?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -3*x**5\/10 - x**4\/12 - x**3\/6 + x**2 - x. Does 16 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1071832*g**2 + 2128370 wrt g.\nAnswer: 2143664*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-181)\/(-1629) + 52\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22604.081 - -22621. Let x = n - 16.2. Round x to 2 dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.092226 and 0.6.\nAnswer: 0.692226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k + 6. Let g(q) = 38*q + 22. Let y(n) = -11*f(n) + 3*g(n). Let s(b) be the second derivative of 2*b**3\/3 + b. What is s(y(i))?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/155, -0.3, 4 in increasing order.\nAnswer: -0.3, 2\/155, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*z**5 - 2*z**2 + z + 88 wrt z.\nAnswer: 880*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14121775, -28243554, -42365333, -56487112, -70608891, -84730670?\n\"Answer: -14121779*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1630 - -35793\/22. Let f = -20683\/70 + 1497\/5. What is the common denominator of g and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n\/(n\/n**0*n))\/n))*n*n\/(n\/n**(-1\/15)))**(1\/40))**(-45) assuming n is positive.\nAnswer: n**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2476 = -2684*z + 2892. Suppose -25 + 23\/2*b + 1\/2*b**z = 0. What is b?\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650441 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: Let g(z) = 702*z**2. Let h(u) = 184385*u. Calculate h(g(y)).\nAnswer: 129438270*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059802 - 33738.5669.\nAnswer: -33738.507098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x - 9. Let l be v(-2). Suppose -2*u = -6*u + 2*f - 6, -2*f = 5*u - l. Sort u, 2\/5, -0.4, -5.\nAnswer: -5, -0.4, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5232 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14320490 is divided by 77408.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 7*a + 10. Let i be l(8). Let z(f) = f. Let o be z(i). What is the second derivative of 3*p - 4*p + p**2 + 0*p**o wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - 1*sqrt(88)*-6) + sqrt(88) - -5*(1*sqrt(88) - sqrt(88)))\/(sqrt(56)\/(-3*sqrt(7)*-5)))**2.\nAnswer: 200475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/48 + l**3\/3 - 2*l**2 - 9*l. What is a in t(a) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21103220 (base 4) to base 14.\nAnswer: -dc6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(7 - -6 - -573). Let z = 21 + u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5597086377 from 14061.\nAnswer: -5597072316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1946814 centuries to decades.\nAnswer: 1.946814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5260 = 5*o + 5*h, 3*h - 4208 = -4*o + 2*h. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 - 0.143.\nAnswer: -150.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/108 + (0 - 1)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kueurcrn. What is prob of sequence ne?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65545, -262136, -589791, -1048510, -1638293, -2359140?\n\"Answer: -65532*b**2 + 5*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97\/((-7275)\/(-150)))\/((-7)\/(-3)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeele. What is prob of sequence ee?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -41*a - 6. Let l be m(2). Let r = -89 - l. Let z be 50\/10*(r + -2)\/(-3). Solve -z*w = -2*w + 4*k, 0 = -3*w + 5*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -18665*q - 18671*q + 37334*q. Let v(r) = -585*r**2. Give j(v(a)).\nAnswer: 1170*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 582648*x + 36714762.\nAnswer: -2*(x - 63)*(x + 291387)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 12 - 2)*(2*t + 3 - 3) + (-4 + 2*t + 4)*(1 - 3 + 0) in the form i + l*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d**2 - d. Let c(a) = -29*a**3 + 6*a**2 + 6*a. Let s(z) = c(z) - 6*r(z). Find the second derivative of s(m) wrt m.\nAnswer: -210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - y)*(-9*y + 11*y + 5*y) + (83 - 57 + 77)*(8*y + y**2 - 3*y - 3*y - 1).\nAnswer: 117*y**2 + 206*y - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 11*z + 1. Determine x(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*-1*sqrt(7).\nAnswer: -4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 27*s + 12. Let y be t(14). Let w be -1 + 2 + -3 - y. Let q(h) = h**2 + 2*h - 1. Let k be q(-3). Put -2, w, k in descending order.\nAnswer: k, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1307 - 929. Which is greater: o or 377?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -98 + 98 + (-1)\/(-266)*-1. Suppose -9*u = -6*u. Is g equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 826 = -90236. Let n = t - 4772. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 + -212.87. Let q = 209.27 + l. What is q rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 8*k = 16*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372700 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Suppose -m*l - 20 = -2*b, -b = -l - 6 - 4. Suppose 2*y + 3*y = -b. Is y at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236715 and 568116?\nAnswer: 2840580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140.5 + -140.4. Let h = 6 + -2. What is the nearest to w in 2\/5, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -530346410 rounded to the nearest one million?\nAnswer: -530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2461*j = -1468*j - 80433 for j.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2493.9 to the nearest 10.\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1 + 5*g - 3*g - 5*g + 4*g. Let d be q(2). Solve 3*a + d = -11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 14 = -10*a. Let l(m) = 6*m - 6. Let d be l(a). Solve d = 4*y + 5*j - 17, -3*y - 3*j + 4*j = -8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000151555 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (110 - (32 - -36))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*w + 361*w + 146*w = 1914 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p**2 + 7*p**2 - 14 - 22*p**2 in the form a + m*p**2 + v*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-39)\/(-36))\/(7\/(-14)). Is n >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - (-30 + (24 + -29 - -3)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.77 + -1.77. Let u be (-39)\/(-104)*(-4)\/(-6)*4. Which is the closest to 0? (a) u (b) p (c) -3\/2 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*o + 41.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(-22)\/308*(-28)\/4*1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (2 - (3 + 15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 89.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 29*i. Suppose -31 = 6*p - 49. Let r(z) = -6 - z**2 + 3 + p. Give r(y(b)).\nAnswer: -4*b**4 + 116*b**3 - 841*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*h + 1. Suppose 0 = 2*a - h + 1. Suppose -j - a = -10. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 992677*i**2 - 4*i + 6*i.\nAnswer: 992677*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1225*m**5 - 1098835*m**4 - 3309555*m**3 + 9955715*m**2 - 5593550*m + 45000 = 0.\nAnswer: -5, 2\/245, 1, 900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342\/1026 - (-5)\/(-18)*1.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*x - 5*v, 0 = -9*x + 7*x + 4*v + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 21*d - 80. What is x(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {v: 6, k: 1, a: 2, t: 4, m: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 120 = -5*v + 37, x = 5*v - 163. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.18307 micrograms to milligrams.\nAnswer: 0.01218307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9)*(-5)\/((-20)\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63412 + 23?\nAnswer: -63367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of (-6)\/22 - (-3824253)\/297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + 2*g**5 - g**5 + (6*g + 2*g - 6*g)*(2*g**4 - g**3 + g**3) + 2*g**5 - 2*g**4 + 2*g**4 + (0*g**4 - 3*g**4 + 2*g**2 - 3*g**2)*(19*g + 12*g + 4*g).\nAnswer: -97*g**5 - 35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 38 = 38. Suppose 6 - 13 = -3*b + 5*r, s = -4*b - 4*r + 20. Solve 0 = v - b*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 268 + -373. Let k = 11.9 - 99.9. Let j = k - a. Is j smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2253*d*k + 11*d*t + 38*k*t wrt t?\nAnswer: 11*d + 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*y = 432*y - 1237025. What are the prime factors of y?\nAnswer: 49481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -547107, -1094153, -1641181, -2188185, -2735159, -3282097, -3828993, -4375841?\n\"Answer: g**3 + 3*g**2 - 547062*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 s when three letters picked without replacement from susuuuu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3854 - -75533?\nAnswer: 80487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:00 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 + 3*g - 6. Let d = 35 + -24. What is the remainder when b(2) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:26 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*1*6 + sqrt(243) + (-2 + sqrt(243)*-2 - sqrt(243)).\nAnswer: -2 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let y be 21\/(-35) + 1\/(-15). What is the third biggest value in -2, y, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 34 = 2*l + 3*w, 5*l - 5*w + 65 = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*u + 187*u - 344*u = 1260 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201420 divided by -2.\nAnswer: 100710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55859.04 decades in centuries?\nAnswer: 5585.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -39*k + 17872 + 4*k**3 - 17919 - 5*k**3 - 13*k**2. Is w(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114214 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41949121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 138 = -x, -5*x = 4*j - 194 - 88. Let s(a) = -j*a - 1 - 10 + 70*a. Let h be s(8). Put 3, h, -3, -2 in increasing order.\nAnswer: -3, -2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - -4 - (-3 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from djdjqjdqjdqdydoqo?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -16. Suppose -5*t + u + 11 = 0. Solve 3*b = t*r + 14, 2*b - 3*r - 5 = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 6*w + 16. Let c be u(6). Let j be ((-1)\/2)\/(1\/898). Let s be (-1)\/7 + j\/(-7). Calculate the highest common factor of c and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.478 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1224*u**2 - 176*u - 360. Is 30 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33\/(-22))\/((-3)\/2). What is the tens digit of (-4)\/q + (36 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1910\/9 + 212. Let z = -0.57 + 0.07. Let r = -14.065 + 0.065. What is the closest to k in z, r, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 + m + 1. Let c(z) = -13*z - 79. Let y be c(-7). Suppose 4*p + 0 + 10 = -i, 5*p + y = -i. Determine v(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*w - 13, b = 5*w - 6*w - 8. Let f(r) = -r**3 - 3*r**2 - r - 3. What is f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 17*d**2 + 168*d**2 + 2.\nAnswer: 151*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7780877 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p - 40. Calculate the least common multiple of p and 5 + (0 + -3 - -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -0.46. Let i = 1.4 - x. Let l = -0.2 + -0.1. Which is the third smallest value? (a) i (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80*((-4202)\/(-792))\/(-191).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19432.259 - 20.259. Which is smaller: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -146, -352, -680, -1172, -1870, -2816?\n\"Answer: -7*y**3 + 2*y**2 - 83*y + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 275 = s, 3*s + 150 = p + 2. Suppose -c - 65 = h, -3*h + 6 = 2*c + 199. Let y = h + p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1015920 by 1020.\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 505 - 717. Let q = -86 - k. What is the highest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1998\/(-30))\/(-9) + -8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6 - 14*n - 16*n - 22*n + 70*n - 15*n. Let j(g) = -4*g + 7. Calculate 6*h(k) + 5*j(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b4 (base 15) to base 7.\nAnswer: -2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*1)**2 + 0)*1 - ((sqrt(1700) - ((sqrt(1700) - (0 + sqrt(1700) - sqrt(1700)))*-2)**2) + (sqrt(1700) + -2*sqrt(1700))**2 + 3).\nAnswer: -10*sqrt(17) + 6797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3998461124 and 707.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31820 = 80*k + 145*k + 145*k. Calculate the remainder when k is divided by (-2 - 0)\/((-3)\/36).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.11, -5, -2\/5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 428 + -397. Solve -s = 5*m + 2*t, t + 23 = -4*m - 0*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295 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: Evaluate ((-1)\/(-15))\/(6\/(-18)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 14. Suppose -3*w = -0*u + 2*u - 2, 5*u + 21 = -w. Let m be (-75)\/30*(-208)\/(-130). Sort u, m, n in decreasing order.\nAnswer: n, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k\/(k\/((k*(k*k**(-2\/13))\/k)\/k*k*k)))\/k*k*k)\/(k*k**40\/k)*(k\/(k**(-15\/4)\/k*k*k))\/(k\/(k\/(k*k\/(k*((k**(-13\/4)\/k)\/k)\/k)))) assuming k is positive.\nAnswer: k**(-979\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d - 2. Let m be ((-3)\/6 + 3)*2. Let l(o) = -8*o + m*o - 2 + 7*o. Determine -5*f(h) + 6*l(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5392\/7 (c) -1\/6 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/139, 2\/5, -92, 5, 0.02 in increasing order.\nAnswer: -92, -1\/139, 0.02, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 - (3 - (-140)\/12). Which is the fourth biggest value? (a) 1\/10 (b) 2 (c) -3 (d) -9 (e) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3076*l**2 + 434*l - 2499413 wrt l?\nAnswer: 6152*l + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0 - 11 + 20 + 6 + (-1 + 5 - 2)*(3 + 1 - 3) + 1 + 2 - 4 - 1 + 5 - 5)*(-2*y**3 + 0*y**3 + 4*y**3).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - -1011?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - -1375405?\nAnswer: 1375359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -13*k + 18. Let q be j(-6). Suppose -100*z + 8 = -q*z. Solve 5*n - z = 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/12 + 0 - (-68)\/408. Solve 5*h + 4*r = 45, g*h = -2*r + 3*r + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 73 - 7. Let g(h) = h**3 + 20*h**2 + 36*h - 5. What is the tens digit of g(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 times -0.162207\nAnswer: 32.116986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 5, -44, 7, -26.\nAnswer: -44, -26, 5, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18771607 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from {x: 2, b: 1, q: 8, k: 3, r: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*j - 2*m - 15, -2*j = -2*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2874\/8 - 1) + 15\/(-60). Suppose 0*g = -4*g + 5*r + 707, -2*g + 4*r + u = 0. Calculate the remainder when g is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -514, -3 in increasing order.\nAnswer: -514, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235127\/75 + -3135. Calculate the common denominator of z and -151\/912.\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 920 + -888. What is the remainder when u is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -484 or -483?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + v + 2*v - 121, 3*v - 15 = 0. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 3 + 4 + 3*a - 2*a**4 - 5 as w*a**4 + l*a**2 + n*a**3 + j + o*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3400) + sqrt(3400) + sqrt(3400) + 1*sqrt(3400) + sqrt(3400))\/sqrt(2) - (sqrt(153) - 1*sqrt(153))**2*-5.\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(196)\/(sqrt(28)\/sqrt(4)) + -2.\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(4\/7)))\/x)\/(x\/(x\/x**(2\/49)*x)) assuming x is positive.\nAnswer: x**(26\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 + 17*f - 67. Let l(a) = 2*a**2 + 3*a - 11. Determine 34*l(p) - 6*z(p).\nAnswer: 2*p**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 50 = -15. Let p(b) = -5*b**2 + 3 - 4 + 4*b**2 + 10*b + 6 + 2*b**2. Let w be p(q). What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)\/(z*z**(2\/7)\/z)*(z**(-1\/2)*z*z)**17*((z**(-1)\/z)**(-47))**(-24) assuming z is positive.\nAnswer: z**(-31245\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35329056?\nAnswer: 2, 3, 7, 19, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99835279.\nAnswer: 99835279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 45. What is the second smallest value in -5, n, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63.844 + -0.044. Let q = t + -63.82232. Round q to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 2*k = 5*q - 131, 4*k + 125 = -q. Let l = q - -220. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.192 to the nearest integer.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95469330 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -6*c + 56 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/11, -2, -1\/10 in increasing order.\nAnswer: -2, -1\/10, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000214105 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/((-114)\/(-437)*23)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215058 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 517517 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 26*k**2 - 2*k - 1. Let o(u) = u**2 + 18*u + 16. Let w be o(-1). Calculate m(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-6 - -6)\/(5 - 2). Suppose 3*y - 3 - 3 = z. Solve -f + 4*f = -2*x + 23, 0 = -y*x - 4*f + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110222 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.56 - 0.06. Let b = 0 - y. Suppose 0 = 5*z + 16 + 4. Put b, z, -0.3 in descending order.\nAnswer: -0.3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c655 (base 13) to base 4.\nAnswer: -31223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away -226.281?\nAnswer: 227.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -4, -2, 12, 44, 100?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o - 7709 + 7759 - 30*o.\nAnswer: -2*o + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 9 + (34 - 54)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16214 divided by 3524?\nAnswer: -8107\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:25 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3\/8 + 207*c**2\/8 - 8427*c\/8 - 27063\/8 = 0.\nAnswer: -97, -3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 7*b - 2. Let p be m(4). Suppose -p*h = -18*h - 16. Are h and 4\/77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11 less than 70\/10211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-126))\/(-8)*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 - 196*d**4 + 13512*d**3 - 63800*d**2 + 87868*d - 37380 = 0. Calculate d.\nAnswer: -89, 1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oop when three letters picked without replacement from ppdpopppopdpp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44315163*p**4 + 2*p**3 - 1975*p**2 - 7098*p.\nAnswer: 1063563912*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 161406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 w when four letters picked without replacement from hwffghhwwhhhgnwhwhnf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 - 0.149. Let u = -3 + 3.2. What is the second smallest value in u, p, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**2 + 3*r**2 + 7*r**2 + 17 - 17.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 55, 95, 143?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/120 - z**5\/12 + 5*z**4\/24 - z**3\/3 - 26*z**2. Suppose -2*o + 0*o = 12. What is the units digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2864\/7 or 409?\nAnswer: 2864\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/15)\/((-30)\/(-100)). Let w = 0.33 + 0.17. Which is the second smallest value? (a) w (b) -10 (c) 2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -935 and 43.7648.\nAnswer: -40920.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1463)\/(-532)*((-64)\/(-2))\/(-4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/5022 and -71\/13392.\nAnswer: 40176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 4207*m**2 + 62894*m - 58688.\nAnswer: (m - 4192)*(m - 14)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(110) + (((sqrt(110)*2 - sqrt(110)) + sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)))\/sqrt(10) + (sqrt(22)\/(sqrt(2)*4) - sqrt(11)))**2.\nAnswer: 275\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77933045 and 19464.\nAnswer: 1870393080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9))**1*(w\/(((w*w**(-2\/21))\/w)\/w*w))\/w**(-11) assuming w is positive.\nAnswer: w**(748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y + 1. Let l(t) = 2*t**2 - 11*t + 4. Let x(v) = -h(v) + l(v). Let c be x(11). Solve 4*g = -4*z, -2*z + g - c = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46240 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, 1\/2, -245?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760534213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**5 + 20597*t**3 + 4*t**2 + 390966*t wrt t.\nAnswer: 40*t**3 + 123582*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 699, 2870, 6513, 11646, 18287, 26454, 36165, 47438?\nAnswer: 60291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1827*h**4 - 2689*h**3*i - 1104*h*i - 3*h - 87*i - 2 wrt h.\nAnswer: -21924*h**2 - 16134*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741242?\nAnswer: 2, 73, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-936)\/416)\/((-10)\/8))\/(-1)*2?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*c + 2*p, 0 = -199454*c + 199453*c - 5*p - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*o + 7, -4*o - 17 = -3*o + 5*m. Let c = o - 0. Suppose -3*y + 27 = 3*x, -2*y + c*y - 4*x - 19 = 0. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l + 2*l - 3*l. Let n(p) = -893 - 5*p + 21*p - 901 + 1794. Calculate n(z(j)).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*(p*p**(-7)*p)\/p)*p)**(-47)*(p**(-2)*p)\/p**(-2\/13))**(-26) assuming p is positive.\nAnswer: p**9798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*x**2 + 119*x**2 - 224*x**2 - 80*x**2.\nAnswer: -305*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48747900 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 7}. What is prob of sequence oo?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 863512 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2780*m + 58304. What is t(21)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2010 - 1?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 202*c + 29*c**3 - 202*c + (0*c**2 - 1 + c**2 - 3*c**2)*(-2*c + 5*c + 5*c).\nAnswer: 13*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2 times 3.331632?\nAnswer: 47.3091744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 202*g**2 - 556 - 194*g**2 + 555. Let p(k) = 8*k**2. Calculate p(s(q)).\nAnswer: 512*q**4 - 128*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*q + 8*q + 65*q, 3*m + 2*q - 30 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*18\/(-15). Suppose -f - 2*f = -15. Let p be 1 + 1 - (-1 + 0). Solve w = s*i + p, 0*i + 5*i - w + f = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(sqrt(300)*-3 + sqrt(300)))\/sqrt(5))\/(-3*sqrt(12)*1 - (sqrt(240)\/sqrt(5) - sqrt(12))).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 1. Let n(t) = -4*t**2 - 8*t - 19. Let o(w) = 5*l(w) + n(w). Does 7 divide o(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5311 or 575?\nAnswer: -5311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 515166210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 111. Let f = 0.5 + -1. What is the second biggest value in f, l, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:48 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 185705 (base 10) to base 2\nAnswer: 101101010101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/1088*-16*24\/(-5).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*j + 755 = -8*j, -3*t - j = -2291. Let n be 131 + (2 - 1) + -2. Let o = t - n. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -246. Suppose -g + 2*g = -t*b + 191, -b = 1. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 790 and 19276.\nAnswer: 96380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718711 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 12*k - 2 + 2.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3573184, 3573187, 3573190, 3573193, 3573196, 3573199?\nAnswer: 3573202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51114748 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -629.3 and 73847.\nAnswer: 73217.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 404, 426, 466, 530, 624?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 - (3 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345*j**2*k**6 - 55*j**2*k**2 + j**2 - j*k**6 + k**2 wrt k?\nAnswer: -41400*j**2*k**3 - 120*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159146318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**6 + 0*t**3 - 17*t**2 + 0*t - 13\/60*t**5 + 0 + 1\/42*t**7 + 0*t**4. Find the third derivative of w(l) wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/3 - 33. What is the third biggest value in j, 5, 6\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 7*u**5\/20 + 43*u**2\/2 - 9*u. What is the first derivative of o(s) wrt s?\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 19512.\nAnswer: -19504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-41999.\nAnswer: 1259.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 61323*j**2 - 5*j. Let q(w) = w. Calculate v(q(z)).\nAnswer: 61323*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(2\/77) assuming b is positive.\nAnswer: b**(-1\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -746, -16, -8 in decreasing order.\nAnswer: -2, -8, -16, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.206954494 to 3 dps.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*1 + sqrt(77))\/(sqrt(44)\/sqrt(4)*6) + -4.\nAnswer: -4 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r + 0*r - r. Let v(h) = -2*h**2 - 108629*h + 15*h**2 - 108628*h + 217257*h. Give v(n(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126029\/20 + -6304. What is the common denominator of n and 57\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036140398 to seven decimal places.\nAnswer: 0.0003614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -37*g + 0 + 0 - 1. Let d be (1\/(-3))\/((-4)\/(-12)). Does 16 divide i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/((-40)\/19))\/((-28)\/(-50)) and 89\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u + 2*u + (-8 + 16*u + 8)*(22 - 15 - 35).\nAnswer: -446*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*v - 5*v + 44205 = -1074. What is the remainder when v is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2706 decades in centuries?\nAnswer: 0.02706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*c = 468*c + 3780. Solve 0*o = 45*o - c for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 418 - 35. Is i a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 8. Let c be v(-3). Suppose 0 = 3*u - 4*h - 26, 0*h + 32 = c*u - h. Solve 10 = 3*a + 2*l - 3, -4*a = -3*l - u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5732122 + 0?\nAnswer: 5732122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396781.5 decades to months.\nAnswer: 47613780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124675 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 - 5*i - 9. Is 3 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -3300094, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23540 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from rhpey?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2239308 or 2239277?\nAnswer: 2239277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 9. Let f(i) = -4*i + 28. Let a = -18 + 15. Let z(j) = a*f(j) - 10*y(j). Differentiate z(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - -1) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 6167826*c + 3170173130523.\nAnswer: 3*(c - 1027971)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1878 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**4 - 60*l**3 - 175*l**2 - 120*l = 0.\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3*b - 45 = 0, -173 = 2328*a - 2320*a + 25*b for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11210 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.28 and 0.79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(480)\/sqrt(2) - (sqrt(1815) - -1*sqrt(1815)))\/(sqrt(2000)*2) + -3).\nAnswer: -18 - 27*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 22. What are the prime factors of o(11)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -59. Let c(h) = -8*h - 3. Let k(w) = 1. Let g(n) = c(n) + 4*k(n). Calculate the remainder when g(-2) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -43. Which is the biggest value? (a) 4\/7 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.237 + -1.707. Let t = a + 2.47. Put t, -0.4, 5, 1\/2 in descending order.\nAnswer: 5, t, 1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let m(j) be the second derivative of j**5\/30 - 9*j**2\/2 - 12*j. Let b(s) be the first derivative of m(s). Give f(b(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/297 + 5\/27. What is the common denominator of z and 52\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3796 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i + 0*i - 5*i + 0*i + 7. Let k(v) = 9*v - 13. Let u(q) = -11*a(q) - 6*k(q). What is the units digit of u(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqbiz. What is prob of picking 1 v and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5184354.313 rounded to the nearest 1000?\nAnswer: -5184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406884?\nAnswer: 2, 547, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/217*13\/26.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23769?\nAnswer: 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o = -40*o - 12. Suppose 0 = 2*c - 6, -2*q + q + 45 = -o*c. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 424*y**2 + 334*y - 24. Let v(x) = -2. Let s(k) = -n(k) + 12*v(k). Find the second derivative of s(h) wrt h.\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5049*t**2 - 5049*t**2 - 182*t**4 - 5*t**4 + 2*t**4 + 4*t**4 + (7 - 7 - 2*t**3)*(-2*t - t + 4*t) to j*t + y + v*t**4 + f*t**3 + z*t**2 and give v.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7471380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16751\/1566 - -242\/29. Calculate the common denominator of y and -19\/66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/5 (c) 3 (d) 0.115 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(50).\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:26 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, 2, -5 in decreasing order.\nAnswer: 2, 1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 211982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 + 2*w - 4. Let p be 0 + 2 - (5 + 1). Let y(u) = 4*u**3 + 3*u - 5. What is p*y(k) + 5*a(k)?\nAnswer: -k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowwd. Give prob of picking 2 w, 1 o, and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a + 2. Let h be w(-1). Let k(o) = o**3 - 10*o**2 - 4*o - 1. Let z be k(h). Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, l: 4, b: 3, r: 7}. What is prob of picking 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 368\/9 + -41. Let p = 1.2 - 0.2. Which is the nearest to 0.3? (a) o (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:02 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 54*r - 26. Let c(n) = 25*n - 13. Determine 9*c(q) - 4*i(q).\nAnswer: 9*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 142*p - 2. Let u(g) = 213*g - 3. Let x(a) = -8*r(a) + 5*u(a). Let d be x(-1). What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.15 + 0.15. Let u = 8.1 + p. Does u = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20 (b) -2\/9 (c) -0.002 (d) 0.908 (e) 5 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -1 - 9. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1634 - -15?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*i + f, 486*i - 8*f = 489*i - 4*f + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*o - 53 = 0, t = -2*t + 2*o + 23. Find the common denominator of ((-79)\/3)\/(24\/t) and -31\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*t**2 + 5*t**2 + 24*t**2)*(1 + 10 - 3 + (-4 - 18 + 6)*(0 + 0 - 1)) as n + m*t + q*t**2 and give q.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2412 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: Is 67339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -254*a + 1222 + 35 - 241. Let c(h) = -7*h**2 + 3*h - 2. Let o be c(2). Sort -4, a, o in decreasing order.\nAnswer: a, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + 16*u + 3*u - 32*u + 2*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*c + 61. Let i be 4\/c*1\/(-2). Is ((-70)\/(-15))\/(i\/(-42)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 2\/5*v**5 + 0 - 2\/5*v**3 + 0*v**2 + 4\/5*v**4.\nAnswer: -2*v**3*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456 divided by 70875\nAnswer: -152\/23625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73369064 by 36684532.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(117) + -2)**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3009500433 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 - 7*c - 7.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13989623 and 0.006.\nAnswer: 0.00083937738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -89, 2 in descending order.\nAnswer: 2, -1\/6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66 + 0.16. Let u = 4.6 + -3. Let h = 1.6 - u. Which is the nearest to 2\/7? (a) h (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15)*5*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3439, 6289, 11039, 17689, 26239, 36689, 49039?\n\"Answer: 950*a**2 + 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d)\/((d*d**(3\/4)*d*d)\/d))**(-37) assuming d is positive.\nAnswer: d**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 + 94383*j + 660828 = 0.\nAnswer: -7, 31468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 37*k - 3036 = -12*k. Let v(b) = 4*b**2 - 3*b - 3. Let u be v(-4). Let z = u + k. Put -6, 1, z in decreasing order.\nAnswer: z, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/7 - 8*i**4\/7 + 2*i**3\/7 + 8*i**2\/7 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 601094\/7 - 85864. Let -286\/7*l**2 - 2\/7 + 242\/7*l**3 + d*l = 0. Calculate l.\nAnswer: 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4\/4 + z**3\/3 + 3*z**2\/2 + z - 7. Calculate the remainder when 27 is divided by w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.988*-768\nAnswer: -758.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -131. Let d(j) = j**2 + 13*j - 30. What is the remainder when c is divided by d(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2 - 9*u + 2. Let v be z(-6). Sort -3, 0, v.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.07854 (c) 0.159 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitiitiiktiiiiitikik. Give prob of picking 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54\/29, 0.2, 0.3, 5.\nAnswer: -54\/29, 0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2*g. Let x(p) = -1315*p**3 + 1315*p**2 - 2630*p. What is -2630*q(j) - 2*x(j)?\nAnswer: 2630*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1\/6)\/((-322)\/(-4347))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -32. Suppose 3*v - 2*u + u - 22 = 0, 5*v = u + n. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6298 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 - 3 = 0. Let g(h) = -8*h. Let j be g(-1). Let c = j + -3. Solve -c*u + t = -14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(3\/8)*i*i*i\/(i*((i**18*i*i)\/i)\/i)*i**14 assuming i is positive.\nAnswer: i**(-61\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(-5 + -1 + 2 + sqrt(320) + sqrt(320)))**2.\nAnswer: -2048*sqrt(5) + 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113231727 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-1)\/((-2)\/(-2)). Suppose -j = -a*j - 2. Suppose j*g = -2*g + 40. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -313*a - 852 + 856 - 1034*a - 284*a - 2*a + a + 2*a + (3*a + 3*a - 4*a)*(4 - 4 - 1).\nAnswer: -1632*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -91*f**2 - 2*f + 14. Let r(j) = -89*j**2 - j + 12. Give -5*o(u) + 6*r(u).\nAnswer: -79*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2646*p + 18159. Determine z(7).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + 3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -31. Let y be p\/((-1)\/(-2)*-2). Suppose 4*x = 2*x + 78. What is the greatest common factor of x and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -56, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 + 489. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n + 278 + 148 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*r + 8773 + 34067 = 0 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 22*r**3 - 15*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 30*v = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + 8 - (-10 + (14 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3126774 divided by -21?\nAnswer: 148894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 + 7 = 0. Let k(f) = -4*f**3 + 0 + 5*f**3 - 3*f**2 - 3. Give k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 57. Determine k(-16).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 - 374681?\nAnswer: -374678.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.99 - -0.01. Let v = 2.3 - 2.3. Let q = b - v. Sort q, 2\/13, -3 in decreasing order.\nAnswer: q, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 4*w + 8. Let i be c(6). Let k be 8\/i - 4\/10. Let b(f) = f. Let q be b(7). Solve 3*t - l - 5 - q = 0, 4*t - 2*l - 18 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 53*x - 2. Let y(p) = 3*p + 2. Let b(w) = 8*w + 5. Let o(q) = -6*b(q) + 15*y(q). Determine o(n(t)).\nAnswer: -159*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 23*j**2 - 16*j + 10. Let o be s(35). What is o rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66476011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 787*n**4 + n**3 - 2*n**2 - 1540*n wrt n?\nAnswer: 18888*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x**2 - 63*x - 47. What is h(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/21)\/s**4*(s\/((s*s**(-7\/2))\/s))\/s**3*((s*((s*s\/(s**(4\/7)*s)*s)\/s)\/s)\/(s\/s**11))**(2\/3) assuming s is positive.\nAnswer: s**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -247\nAnswer: -3\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10288 = -132*w + 10288 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 56.00047. Round r to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(4\/72)\/(11\/66)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 10110000010001?\nAnswer: -10110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 898, 896, 894?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 20*n - 1 + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-2)*198\/(-81))\/((-34)\/(-102))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/14)\/(842\/(-1272)) + (-48)\/168. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 37052\nAnswer: 33\/18526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r - 2*r + 4*r. Let k(w) = -5*w + 5*w - w - 3*w. What is k(v(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13592731, -27185458, -40778185, -54370912, -67963639?\nAnswer: -81556366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**19\/v)\/v**(1\/14))\/((v\/v**(-3\/4))\/v)**1 assuming v is positive.\nAnswer: v**(481\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (576\/48)\/(4\/(-3)) + 324. Solve j = 45*c + 18*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 6 - -8 - -11 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -p + 4*p + 2, -12 = i - 4*p. Which is the fourth biggest value? (a) -2 (b) i (c) 3 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcppeecpcc. What is prob of sequence cpe?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 383033 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3714.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -9*x. Solve -3*w = 1 + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-12))\/((-75)\/(-240))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3812 divide 84061294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321466285?\nAnswer: 5, 7, 23, 241, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 426*q + 24. Let a(j) = -2*j**2 + 261. What is a(v(z))?\nAnswer: -362952*z**2 - 40896*z - 891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(1088))**2 + ((sqrt(1088) + -1)**2 + 0 - sqrt(1088)) + 3 - (2 + (sqrt(1088) - -5*sqrt(1088)*2))*-6)*2.\nAnswer: 1008*sqrt(17) + 4384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -1\/6, -1\/7, -901, 5, 0.5 in decreasing order.\nAnswer: 5, 1.4, 0.5, -1\/7, -1\/6, -901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 36*k + 5. Let i(n) = 5*n. Give -f(m) + 6*i(m).\nAnswer: m**2 - 6*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 346 - 394 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3916, -3903, -3888, -3871, -3852, -3831, -3808?\nAnswer: -3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, q: 1, s: 3, c: 5, b: 2, e: 5}. What is prob of sequence bb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4636023 hours?\nAnswer: 27.816138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (9 + 4 + -3) - -32 - -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -5473239?\nAnswer: 2\/1824413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38 and -52469.\nAnswer: -52431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, x: 9}. Give prob of picking 2 q.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -70, 9, 12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1408 + -756. List the prime factors of n.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 47 = 16*i, -10*b + 7 = -11*b + 4*i for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/21*(180\/(-175))\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5 + 96*i**4 - 4*i**3 - 96*i**2 = 0.\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*n - 32, -19 = -5*n - 7*d + 5*d. Suppose 0 = -3*b + 2*r + 1582, -2*b + n*b - r = 1586. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a tonne in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 + 5*h**2 - 4*h. Let w = -406 + 402. Let k(u) = 4*u**3 + 4*u**2 - 3*u. Calculate w*k(o) + 3*g(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_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: Two letters picked without replacement from qoo. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*l + 138, 6*l - l = -20. What is the remainder when (-72)\/q - (-1123)\/7 is divided by 15 - 1\/3*0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 47. Let t(d) = 1. Let o(b) = 2*b - 12. Let v(p) = -o(p) - 10*t(p). Determine v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 0.4, 0.05312865?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d - 1. Let g(s) = -s - 21. Calculate g(n) - 2*l(n).\nAnswer: -2*n**2 + n - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 84458614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 4*f**2 - 2*f**2 - f**2 - 5*f. Let d be q(-5). Determine z so that 2\/5*z**d - 4\/5*z**3 + 2\/5*z + 2\/5 - 4\/5*z**2 + 2\/5*z**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 5*t + 5. Let h be l(-4). Let r be (0 + (-1 - 2))\/h. Calculate the remainder when 25 is divided by (9\/(r - -2))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 + r - 11. Let p be c(0). Let t = 14 + p. Suppose t*o - 2*o = 0. Solve 11 = -3*x + 5*u + 2, 5*u = o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 22*b + 2*b in the form q*b + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102601, -205205, -307813, -410425?\nAnswer: -513041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82318381 rounded to the nearest 1000000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 25*y - 82 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = 14*y + 50*y - 21*y. Solve y*l - 41 = -109 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 12. Let f(t) = -11 - 4*t**2 - 4*t - 12*t + 16*t. Let p(x) = -6*f(x) - 7*v(x). Find the first derivative of p(y) wrt y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500205 (base 6) to base 5\nAnswer: -2221312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - 105\/(-20)*44. Which is smaller: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 25 = 3*h, 3*t + t + 5*h + 33 = 0. Let c be t\/(-3) - 14\/(-6). Suppose 265 = 2*z + c*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 3. Let w(f) = -3*f**2 + 2*f**2 - 32 - f + 84 - 34 - 25. Calculate -5*u(q) - 2*w(q).\nAnswer: 2*q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/((y*y\/(y*y**(-1)))\/y))*y)**(-10\/13)*y**8*y*y**(-6)*(y**4*y**(-2\/5))**(-4\/9) assuming y is positive.\nAnswer: y**(-109\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1782 + -2650. Let y = -311 - n. Suppose 0 = -i + 4*v - 19 + 126, -5*i - 2*v = -y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 2*x**2 - 4. Let l be f(3). Suppose l*y = 4*p - 47, 3*p - 4*p = -5*y - 8. What is the remainder when 49 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256968 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003421 rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -56147592 divided by 3544?\nAnswer: -15843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.05 (c) -1 (d) 4\/9 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -20*d - 5. What are the prime factors of h(-6)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-7)*2\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 3454*l - 25 + 3440*l.\nAnswer: -14*l - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 7*b**2 - 10*b - 12. Let v be q(-8). Suppose 2*w + x = 6, 3*x = -v*w - x + 8. Solve 6 + 14 = w*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*r + 52, -o + 25 = -r + 2*r. Let p = -8 + 24. Suppose 2*c - s + p = 4*c, 5*c - 22 = 2*s. Calculate the remainder when r is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m + 1. What is u(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 139*h**4\/8 - h**3 + 10*h**2. Let n be b(4). Suppose 8*c + n - 5670 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7495*j**4 - 4*j**3 + 4*j - 8455. Let x(z) = 14991*z**4 - 10*z**3 + 10*z - 16909. Let s(n) = -5*t(n) + 2*x(n). Differentiate s(d) with respect to d.\nAnswer: -29972*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*l = 132, 0 = -0*l - l + 2. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:11 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*a + 23*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/4 - 39*c**2\/2 - 27*c + 14.\nAnswer: -(c + 2)*(c + 14)*(5*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/11 + 526*i**4\/11 - 426*i**3\/11 - 25774*i**2\/11 + 25676*i\/11 = 0.\nAnswer: -7, 0, 1, 7, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let p(q) = -1423*q - 562*q - 265*q - 1981*q - 119*q. Determine w(p(v)).\nAnswer: 4350*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672845256?\nAnswer: 2, 3, 9345073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(180)*-1 + sqrt(5))**2 + 4) - (2*(-1 + sqrt(80))*-3)**2.\nAnswer: -2658 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y**2 - 78*y + 688. What is n(8)?\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + sqrt(176)*1) - 3*(sqrt(1100) + (sqrt(1100) - 2*sqrt(1100) - sqrt(1100))).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/7021 and 37\/11795.\nAnswer: 11830385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -45. Let m be (2 + -19)\/((-6 + 2)\/x). Let l = -6 + m. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 - 2550*b**4 + 74425*b**3 - 482850*b**2 - 718820*b + 1129800 = 0.\nAnswer: -538, -2, 1, 14, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - y - 2 + 4, 0 = 3*x + y - 2. Suppose -27 = -x*a + a. Calculate the remainder when a\/(-2)*(-4)\/(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/20)\/o)**50\/(o*o**(10\/7)*o**(8\/7)))**22 assuming o is positive.\nAnswer: o**(-935\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14972434517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052722?\nAnswer: 2, 11, 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64131770 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96753 + 96758 - 193511 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 382763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 23*s + 40. Let m be n(26). Let u(t) = -t**3 - 37*t**2 + 42*t + 157. Let h be u(m). Solve h - 15 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -14, 17, 4, -4, -15 in descending order.\nAnswer: 17, 4, -4, -7, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c - 25. Let h be r(0). Let p = h - -20. Sort -1, 1, p in decreasing order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.01. What is the third smallest value in -5, -0.04, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2243.206 + 2244. What is k rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 32. Solve -j*p = 1 - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4, 5\/42, -3\/22 in descending order.\nAnswer: 1\/3, 5\/42, -3\/22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -334 times 4\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -715305.6 rounded to the nearest one thousand?\nAnswer: -715000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*r + 14 = i, -2*i + 2*r - 10 = 0. Let f = -137\/5 - -27. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4779704 = -4779705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/272*((-3)\/(-4))\/(2808\/(-192))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -60, -94, -130?\n\"Answer: -h**2 - 29*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n\/(n\/(n*n\/(n*((n\/(n\/(n*((n*n\/(n*n*n**2*n)*n)\/n)\/n)))\/n)\/n)))*n)\/n*n)\/n)**42 assuming n is positive.\nAnswer: n**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unrnnjdn. What is prob of sequence nu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*v - 123 + 150, 0 = -5*k + 25. Let n = 1 - 0.9. What is the biggest value in -5, 1\/16, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*x - 3*m, -2*x - 5*m = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.9 + -63.6. Which is the nearest to 69? (a) 1 (b) -2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2\/7, -1\/17, -0.0121?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*h**3*u**3 + 114*h**3*u**2 + h**3*u - h**2*u + 4*h*u + 203*u**5 + u**3 wrt u.\nAnswer: -132*h**3 + 12180*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (292\/6)\/((-8)\/(-12)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197274544.\nAnswer: 2, 857, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3984 in 4, 2\/771, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 11 = 2*l + 3*i, 110*l + i - 702 = 75*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*(y\/(y**8*y))\/y*(y*y**(-14)\/y)**33 assuming y is positive.\nAnswer: y**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/3)\/(2\/6). Suppose -k + 35 = f. Let c = 42 + k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)\/l)**(-7\/2)*l**4\/((l\/l**9)\/l) assuming l is positive.\nAnswer: l**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 315 = -5*t. Let m = 69 - t. Calculate the common denominator of 59\/7 and -4*(-4)\/88*39\/m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 15*c = 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4, 7*w + 20 = 4*o + 3*w. Let j(q) = q**3 + q**2 - 2*q. Is 15 a factor of j(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2401\/24 > -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5753 is divided by 5740?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 4*b + 18*b + 12.\nAnswer: 30*b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 4 + 0*n**2 + 1\/8*n**3 + 20*n - 1\/48*n**4. Let k(g) be the first derivative of r(g). Determine a, given that k(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 5*j**4\/8 + 25*j**3\/6 + 15*j**2\/4 - 45*j\/2 + 70. Solve g(o) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5415\/8? (a) 3\/4 (b) 3\/2 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-65.2\nAnswer: -65.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100000011323 (base 4) to base 2\nAnswer: -10000000000000101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*s**2*t**2 - s**2*t - 2*s**2 + 73001*t**2 + 1043226 wrt t.\nAnswer: -10*s**2*t - s**2 + 146002*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:59 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-96))\/((-3115)\/(-890)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.5 * 5769178.\nAnswer: 37499657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2 = v, -5 = 5*q + 5*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose 0 = 2*g, -k*m - 15 = -5*m - 2*g. Let x be 10\/m - (-13)\/3. Solve -x*j = 5 - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3125 and 790?\nAnswer: 493750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 221*w - 56*w + 16*w.\nAnswer: 160*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/7 + 2\/35. Solve 0 + 0*c - d*c**2 + 2\/5*c**3 - 1\/5*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t + 1. Suppose 5*d + 5*n - 19 = 146, 0 = -2*d + n + 72. Suppose 6*b - b = -d. Let z(i) = -9*i - 2. What is b*p(l) - 4*z(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -4*d**4 + 4*d**3 - 3 - 2*d + 6\/5*d**5 + 0*d**2. Factor c(t).\nAnswer: 2*(t - 1)**3*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8 and -51\/1210?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 41344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:32 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t + (-2 + 2 - 1)*(2*t - 7*t + 3*t) - 8*t - 3 + 3)*(3*t - 5*t + 4*t).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -692290.2 and 4?\nAnswer: -2769160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 87*n**8\/14 - 233*n**4\/6 - n**3\/6 + 1047*n. What is the third derivative of r(p) wrt p?\nAnswer: 41760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57443.631 + -57484. Let a = s - -0.369. Which is greater: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462 - 4*m**3 - 529 - 948.\nAnswer: -4*m**3 - 1939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 5*h - 4*i, -152*h - 158*h + 2*i = -307*h + 58 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21388585\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15733 + -15396. Calculate the remainder when i is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13526 - 2*j**2 + 36*j + 27060 - 13523. What is o(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891.2134ug to kilograms.\nAnswer: 0.0000008912134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*n**2 + 10*n**3 + 4*n**3 + 43*n**2 to m*n**3 + u*n + h*n**2 + g and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9687 - -9687.059. Which is the biggest value? (a) 5 (b) r (c) -8\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + m - 9, 0*a - 2*m - 9 = -5*a. Suppose 4*s = -a*x + 161, -x + 0*x = -s + 49. What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/7 + 146*r**3\/7 + 776*r**2\/7 + 328*r\/7 - 1248\/7 = 0 for r.\nAnswer: -4, -2, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 2 - 3*n**3 + 2*n**4 + n**4 + 0*n**4 - 2*n**4 + (-3*n + 5*n - n)*(30*n**3 - 7*n**3 + 75*n**3).\nAnswer: 99*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127696 divided by -2776.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8*y = -8, 5*y = -4*o - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -1128143\nAnswer: 79\/1128143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 128, -2\/75, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16172 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 2*m)*(-3 + 5 + 0) - m - 4 + 4 - 25*m - 37*m + 51*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18b3129 (base 13) to base 11\nAnswer: 4645299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49344 and 335642.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1176 and 15?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 57*b**2 - 25*b**2 + 18 - 11*b**2 - 9*b**2. Let h(u) = -2*u. Give i(h(a)).\nAnswer: 48*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/7*(798\/(-36))\/(-19).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4894172774, 4894172775, 4894172776?\n\"Answer: l + 4894172773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, -5, -0.1, -1\/18.\nAnswer: -5, -0.1, -1\/18, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -36. Let b be (9\/6)\/((-3)\/r). Solve 3*l - b = y + y, -9 = 4*y + 3*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 28*r**2 - 26*r + 36. Let l be y(-27). Let b be 12\/2*l\/(-45)*-5. Let a = -7 - -2. What is the smallest value in 5, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*p - 19 + 55 = 0, -i + p = 12. Let u = i + 45. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p**4\/7 + 57278*p**3\/7 + 415592*p**2\/7 + 673678*p\/7 + 143340\/7 = 0.\nAnswer: -5, -2, -1\/4, 7167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3083 (b) 0.01 (c) -2\/11 (d) 2\/17 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - u**5 - 1 + (-2 + 2 - 2*u**4)*(u - 2 + 2) + 0*u**5 - u**5 + 0*u**5 - 68 + 68 + 26*u**5 + 4 + 3*u**5 - 4.\nAnswer: 25*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40504, 38859, 36116, 32269, 27312?\nAnswer: 21239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*c - 104*c = 93*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.83 + -7.8. Let a = m - 0.03. Let f = a + 4. What is the third smallest value in f, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -4. Let u = 188 + -178. Suppose -2*p + u = 0, 22 = 5*z - 2*p - 253. Calculate the remainder when z is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, and 1 k when three letters picked without replacement from {p: 2, v: 2, z: 1, k: 4, c: 4, d: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.6 - 1.6. Let i = -915 + 918. Which is the second smallest value? (a) 2 (b) u (c) -0.6 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 5 - (-3 + 6 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 4*j + 6. Let h be m(-7). Let y be h\/6 + (-12)\/(-18). Is (-914)\/y - 4\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 = 2*w + 3*h, -5*w + 2*w + h = -1554. Suppose -5*a + w = -53. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.474 less than 395116?\nAnswer: 395129.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**2 - 5*z + 17. What are the prime factors of r(5)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*r - r + 13, 2*g - 2*r + 18 = 0. Let a = -11 - g. Suppose f - 5*o - 14 = 0, o - 24 = -3*f - 2*o. Solve 2*t - a = -f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 664*p**2\/5 - 13882*p\/5 - 69696\/5.\nAnswer: 2*(p - 352)*(p + 9)*(p + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 at least as big as -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(1\/98)*(-24)\/28 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -12\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/48*2*24\/(-288)*24\/(-10)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*z = 13, -11 = -4*l - z + 2. Suppose -l*x = 4*w + 5 + 3, w - 16 = -5*x. Suppose x*b = -3*b + 21. Solve b*s + 6 + 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 15 = 21*f - 24*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/72 + -7\/36. Let k be 3\/5*75\/3. Suppose v - m = 3, -2*v + 7*v = -5*m - k. Is v >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyr when three letters picked without replacement from {y: 4, p: 1, o: 5, r: 1, f: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*16*15\/(-240)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/20 + 13*w**4\/12 + 7*w**3\/6 - 11*w**2\/2 + 51*w. What are the prime factors of x(12)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*8\/((-480)\/28)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 1495186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 51. Give j(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -47*y**5\/30 + y**3\/6 - 225*y**2\/2 + 11*y. Let r(x) be the first derivative of d(x). Differentiate r(m) with respect to m.\nAnswer: -188*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57906 divided by -692\nAnswer: -28953\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -199, -321, -447?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**2 - 7172355*w - 129100770 = 0.\nAnswer: -1434453, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-6)*(-1 + -1). Let a be 1075198\/6 + 7\/21. Suppose -z*c + a = -5*c. What is c rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 8. Let f(k) be the second derivative of 1\/12*k**4 + 0*k**c - k + 1\/3*k**3 + 0. Find the second derivative of f(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*a - 4*a - 21*a**3 - 8*a - 8*a to the form n*a + w + s*a**3 + i*a**2 and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/103 - -2672\/2163. Calculate the common denominator of m and (-5 + 3)*(-371)\/(-42).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -269 (b) -23\/2 (c) 4932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2182944*o*w**5 + 2*o*w**3 + 2*o*w**2 + 60*o*w + 3*o - 4*w**3 + 820*w wrt w?\nAnswer: 130976640*o*w**2 + 12*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 + 15*g**2 + 123*g - 135 = 0. Calculate g.\nAnswer: -5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100823 = 39*k - 11427086. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:21 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 29*p + 82 = 0. Put 2, 4, p in decreasing order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {j: 4, u: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 4. Let c(m) = -75. Let u(i) = 99. Let z(f) = -4*c(f) - 3*u(f). What is 2*w(q) - 3*z(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + 0.17. Which is the nearest to i? (a) 2 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-3 + sqrt(704))**2 - (-4*sqrt(11) + -2)) + 5*(sqrt(77)\/(sqrt(21)\/sqrt(3)) - 2*(sqrt(11) + 0)**2).\nAnswer: 9*sqrt(11) + 2708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -6\/5, -3, 1, -1\/8.\nAnswer: -3, -6\/5, -1\/8, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1109976, 4 in ascending order.\nAnswer: 1, 4, 1109976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, n: 1, k: 10, t: 5}. Give prob of sequence tnx.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 3*p + 56, 4*m = -4*p + 56. Suppose 2*d - o = 41, d + o = -0*d + 22. What is the highest common factor of d and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18096*1.\nAnswer: -18096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5287860 by 58754.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let w(n) = -n**3 - 8*n**2 - 6*n - 8. Let v be w(-7). Let r = v + 21. Calculate y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0303 - 1295.0303. Let o = 1294.99998301 + v. What is o rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40167.47km to nanometers.\nAnswer: 40167470000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q + 27. Let i be x(-2). Put 8, 1, -2, i in decreasing order.\nAnswer: i, 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - 13312303331?\nAnswer: -13312303213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 + 586 = 296*b - 2185 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21900, -22127, -22502, -23019, -23672, -24455, -25362?\n\"Answer: t**3 - 80*t**2 + 6*t - 21827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6991685, -13983401, -20975117?\nAnswer: -27966833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 26, 47, 74, 107, 146, 191?\n\"Answer: 3*m**2 + 6*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22589 is divided by 11281?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 18568.104.\nAnswer: -1856.8104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13.08, -0.6, -6, 0.2, 1\/62 in ascending order.\nAnswer: -13.08, -6, -0.6, 1\/62, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/2117 - -4261\/19053. Put -11, -15, y, -8 in ascending order.\nAnswer: -15, -11, -8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 13. Suppose -p - 7 + i = 0. Calculate the remainder when 47 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*a + c - 13, -3*c = 2*a - 43. Let i(z) = -45 - 51 - a*z + 92. Is i(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = -3*w + 5*j, 0 = -j + 3. Suppose -2*n + 5 = -w. Let l = 11 - n. What is the greatest common factor of 64 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1860839027 and -527?\nAnswer: 526.8139160973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252 - -252.14. Let m = -0.96 + 1. Let h = s - m. Sort -0.2, h, 2 in descending order.\nAnswer: 2, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x. Put 4, x, -5 in ascending order.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1910 + 1744*o + 1935 - 1754*o.\nAnswer: -10*o + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - (-166)\/(-6). Let s(f) = 21*f + 166. Let t be s(-6). Let m = j + t. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.1 (b) 0.4 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + -55 + -42 + 77?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Suppose -d - 4*c = -0*c - 12, u*c = 3*d + 24. Put 0, 3, d in ascending order.\nAnswer: d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3652 and -10\/6391.\nAnswer: 25564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*t + 55, 2*n - 4 = -3*t + 18. Solve 0 = 2*x + 5*v - n, -4*x + 7*v - 17 = 4*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21176*l**2 + 15852*l. Let v(u) = 31765*u**2 + 23780*u. Let o(s) = 10*g(s) - 7*v(s). Find the second derivative of o(j) wrt j.\nAnswer: -21190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -118?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + 2 + 3*u)*(0 - 1 + 3) + 676 - 676 + 35*u.\nAnswer: 33*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 3*a - 11 = -12*u, 0 = -3*a - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 13) to base 2.\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = 5*l, 3*m - 10 = 2. Let t be (-4)\/l + 32\/(2 + 2). Which is the smallest value? (a) t (b) 6 (c) 1 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30220 - -3?\nAnswer: -30211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 240\/(-75) - (-7)\/35. Which is the nearest to -6? (a) -1\/2 (b) -6 (c) 6\/11 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 131. Let j = -12 - -8. Suppose -1379*l = -1371*l - 16. Which is the third smallest value? (a) 0.2 (b) j (c) l (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqqb when four letters picked without replacement from {q: 5, b: 3, u: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**3 + 17*d**2 - 13*d + 13. Suppose -g + 3 = 2*s, 5*s - 20 = -5*g + 20. Let a(j) = 5*j**3 + 8*j**2 - 6*j + 6. Determine g*a(u) - 6*i(u).\nAnswer: -u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/4 - -3)*4. Suppose -6 = f*p + d, 2*p + 0*d - 10 = 4*d. Let n be (792\/20)\/(p\/(-5)). What is the greatest common factor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -7*u**5\/60 + 83*u**2 + 3*u. Let j(v) = v - 2. What is a(j(f))?\nAnswer: -7*f**2 + 28*f - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*q - 8, 5*q + s - 3*s = 19. Solve 0 = 4*g - 0*g - 4*d - 36, 41 = 4*g - q*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 + 2 = r, -4*r + 7 = -5*y. Let p = 2 + 0. Suppose -3*a - 12 = -6*a. Solve r*w = -p*w - k - 7, 4*k - 20 = a*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -y - 3*q, -3*q + 19 = 3*y - y. Let i(z) be the first derivative of z**3 - 5*z**2\/2 - 3*z + 189. List the prime factors of i(y).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 38*n. Let u(p) be the third derivative of p**5\/60 - 25*p**3\/3 - 7*p**2 - 1. Let k(b) be the first derivative of u(b). Calculate k(s(z)).\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3408, -3918, -4454, -5028, -5652, -6338, -7098?\n\"Answer: -2*v**3 - v**2 - 493*v - 2912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-30))\/((-24)\/(-60))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 705 - -75. List the prime factors of r.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*3048\/(-30). Let o = 255 - c. Solve 0 = -5*k + v + 23, -3*k - 3*v = -o - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 582 = 3*j - 293 - 293, 5*j = 2*y - 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 87*r**2 - 10*r - 1. Let h be p(-6). Suppose v + h = 5*t, -10*t = -13*t + 3*v + 1917. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 241 (b) -0.3 (c) 1\/2 (d) 2\/9 (e) -1.6 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + 1. Let g(z) = z - 1. Calculate f(q) + 5*g(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -504463 or -504464?\nAnswer: -504463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8568 and 8120?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(6 + 2*j - 6)*(67 - 48 - 50) + ((-1 + 1 + 2*j)*(-1 + 3 + 1) - 3*j + 3*j + j)*(-4 + 0 + 5) in the form o*j + t and give o.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)**(-12)*x**(2\/5)*x*x**(-4\/9))**(-4\/5) assuming x is positive.\nAnswer: x**(1988\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 249 + -212. Let z = 45 - 44. Suppose -f + 55 = 3*i + f, 5*f = -i + z. What is the remainder when d is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39170 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144093499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -540*b**2 - 4*b + 1. Let n(f) = 2*f. Give n(v(w)).\nAnswer: -1080*w**2 - 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 2. Let f be z(6). Suppose 2*d = o + 5, 0 = -0*d - 4*d - 2*o + f. Suppose d*r - r = 110. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85127839, -85127839, -85127841, -85127845, -85127851, -85127859, -85127869?\n\"Answer: -s**2 + 3*s - 85127841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3*(-1)\/(-60)). Solve -5*l - 5*q + k = -0*l, 3*l - 3*q = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**3 - 2*s**2 - 3*s + 1. Let d be -6*(14\/(-6) - -3). Let x = d + 8. Is g(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 671\/77 + (-2)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9144042 to the power of 1\/2, to the nearest integer?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 2 + 26765*o**2 - 26763*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 813244 and 17?\nAnswer: 13825148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65522 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 449281 = -87*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*c - 389 = 633. What is the greatest common divisor of 2226 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(-2*sqrt(24) - sqrt(24)))\/(sqrt(392)*4*-2) + -4.\nAnswer: -4 - 45*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/5, 5, 246.\nAnswer: -29\/5, 5, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - m + 13678, 5*z - 3*m = -34 + 22854. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + 2*(1 + -2). Suppose 0 = 3*r - p*r + 8. Let o be r\/1*(-10)\/4. Sort o, 1\/2, -1.\nAnswer: o, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15133 - 9282. What are the prime factors of x?\nAnswer: 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*d**4*o + 31977*d**4 + d**2*o - 2*d**2 - 2675251*d - 2*o wrt d.\nAnswer: 576*d*o + 767448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 6 + 6 = 0. Solve -l*j = 3*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 132.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1\/4, -68, -1\/8 in descending order.\nAnswer: 1\/4, -1\/8, -2\/9, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220181, 438326, 656471, 874616?\nAnswer: 1092761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:47 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1321*j**3 + 2529. Let r(y) = -2631*y**3 - 5060. Let i(s) = 7*p(s) + 3*r(s). What is the derivative of i(k) wrt k?\nAnswer: 4062*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*r + 26*r + 2096*r**2 - 2047*r**2 wrt r.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883403117.\nAnswer: 47, 18795811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m + 4*m - 1 + 0. Suppose 5*l + 180 + 45 = 0. Let n be (0 - 5)*(-6)\/l*-3. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*s - 6 + 9 - 2 to o + i*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4664*j*q**3 - 11*j*q**2 + j*q + 35*j - 13878*q**3 - 331*q wrt j?\nAnswer: 4664*q**3 - 11*q**2 + q + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94847 and -0.2.\nAnswer: 18969.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 10723 - 10481 - 8*v + 21471 in the form c + n*v + f*v**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4.2. Let g = n + -1. Let d = -3.8 - g. What is the third biggest value in 4\/7, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1384686\nAnswer: 138468.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223231003 (base 4) in base 3?\nAnswer: 100002120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 + 485*s**3 - 2*s + 288.\nAnswer: -12*s**2 + 2910*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1049850)\/30*4\/(-12).\nAnswer: 5, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*i - 2*i = 27, 0 = -5*h + 5*i + 35. Let q be (28\/(-20) + h)*5. Factor -9*j**q - 3*j**3 - j**4 - 18*j**2 - j**4.\nAnswer: -2*j**2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/140 - 5*u**4\/42 - 4*u**3\/7 + 27*u - 2. Solve w(s) = 0.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -s + 498, 0 = -4*s + 4*a + 1958 + 50. Is 46 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 5. Let a(z) = 2*z - 6. What is 5*a(p) - 6*f(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 + 134\/4. Suppose 0 = -k - 0*k + c. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**3 + 22*y**3 + 51*y**3 - 2 - 41*y**3.\nAnswer: 62*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-1)\/21*84\/56.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 499*v**6 - 73356*v**4 + 3*v**2 - 12512400?\nAnswer: 59880*v**3 - 1760544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 54*r - 4 = 50*r, 5*m - 4*r = 8. Suppose 3*c - 21 = 3. Solve m + c = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 4\/3 in ascending order.\nAnswer: 0.2, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -29*n + 402. Let t(l) = -13043*l. Calculate a(t(d)).\nAnswer: 378247*d + 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.7 - -28.9. Let m = 2.05 - 0.05. Let l = m + -1.99. What is the biggest value in l, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 8*t**2 + 7*t. Let l be p(7). Let m be 0\/29 + -28 + (0 - -2). Let h be 2\/(m\/4 + 3). Which is the third biggest value? (a) -1 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a**(-2\/11)\/a)*a*a**(-3\/5) assuming a is positive.\nAnswer: a**(252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*h - 963 + 207, 3*h = 4*s - 1517. Calculate the lowest common multiple of s and 50.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 12*o**2 + 2*o + 12. Let f be z(-12). Suppose -p = -c - c + 6, -4*c = -5*p - 6. Suppose -2*u + 5*u = p*n - 45, -n = 2*u + 23. Is f < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = 2*t - 4, -t + 15 = 5*l. Let b be (-4)\/10 - (162\/(-10))\/l. Factor 0 + 2\/7*x**b + 0*x**4 + 0*x**2 - 2\/7*x**3 + 0*x.\nAnswer: 2*x**3*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 8*x**2 - 11*x - 5. Let b be o(-9). Suppose 5*k = 13*k - b. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 - 16*x + 21*x - 2*x**2 - 7*x - x**3 in the form d*x**2 + n*x**3 + j*x**4 + f + q*x and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.2 - -9. What is the smallest value in -3, 0.1, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 0. Which is greater: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*x**3 + a**2 - 57*a*x**2 + 645*x**4 - x**2 wrt x.\nAnswer: 6*a**2 + 15480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 9*b**2 - 18*b. Let a be p(6). Suppose a = -11*x + 3314294 - 16184294. What is x rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6683 - 5713. Calculate the greatest common factor of k and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3)*9\/2. Factor -g + 3*g**2 + g**3 + 2*g**v + 2*g + 3*g**4 - 2*g**4.\nAnswer: g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 f when four letters picked without replacement from {f: 8, y: 2, c: 1, x: 8, v: 1}.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/4, -2\/9549, 2\/3?\nAnswer: -2\/9549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 95. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 7*q + 12. Suppose 3*m - 35 = -2*m - 2*k, 3*m + 2*k - 25 = 0. Let t be y(m). Solve -4*i - t = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-2 - 6) + 11. Solve 5*w + a*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -255166.\nAnswer: 127583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*n + 552962 = 0, -9*d + 7*d = 8*n - 276494. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + 1.4.\nAnswer: 79.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 + 206*k + 1086. What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = 5*s - 104. Calculate the remainder when s is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by -5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556\/(-3621)*(-204)\/(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199645 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12776.11 millilitres in litres?\nAnswer: 12.77611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-186 - -192 - (33 - 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**6\/6 - 24*c**5\/5 + 18*c**3 - 58. What is the third derivative of d(a) wrt a?\nAnswer: 60*a**2 - 576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 (base 9) in base 11?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/78*11\/((-1650)\/20).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 28246.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5101332 and 5754?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + x - 66, 5*y - x + 45 + 65 = 0. Let d be (37 - 4) + 1 + -2. Let z = d + y. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/39 and 34\/2457.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 59*c + 55*c = -12547, f + 2*c = 4181. What is the greatest common factor of f and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 668344 and 1900?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - -15. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + c - 1. Suppose -10 = 4*o + o. Let g(x) = 11*x**2 + 2*x + 36. Let j(m) = o*y(m) + g(m). What is the first derivative of j(u) wrt u?\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0.1 (c) 4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:27 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.1. Suppose 3*t = 27 - 9. Let i be -10 + 10 - (-4)\/t. Which is the nearest to l? (a) -3\/5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5004 and 660.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 9. Let u be (6\/(-1))\/(l + -2). Let c = u - -3. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -2)\/((-2)\/(-7)). Let v = 4 + g. Let l be 1\/((-2)\/(-3)) - 1. Which is the second biggest value? (a) v (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3210*k**3 - 3214*k**3 + 6420*k**3.\nAnswer: -4*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c - 8 - 16*c + 8.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 2844\/(-72))*-2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/3 + 20*k**2\/3 - 35*k.\nAnswer: 5*k*(k - 3)*(k + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5668*s**2 + 110*s - 37. What is the thousands digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p - 5*z - 10, 3*z = 3*p. Let i be (0 - -7) + (p - 0). Calculate the greatest common divisor of 15 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000035105 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -2, 1, 0.01, 79, -14, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*c + 7 + 11, 3*t + 9 = 0. Differentiate 4 + 9*q - 7*q - 2*q - 9*q**c wrt q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 327 - 326 = -4*c, -3 = c - 2*l. Sort c, -13, -16 in ascending order.\nAnswer: -16, -13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18900\/(-2160))\/(1\/(-4))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 796641225 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/42 + (-32)\/(-14). Suppose 4*l - 3*v = -6, 4*v = -2*l + d*v + 4. Solve 0*r + 4*r - 12 = l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + b - 5*b + 4*b + 0*b + (0 + 4 - 2)*(-3*b + 3*b - 2*b) + 4*b - 5*b + 0*b - 4*b + 6*b - b - 3 - b + 3)*(1864 + 2129*b**2 - 1864).\nAnswer: -14903*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264922, 529855, 794790, 1059727, 1324666, 1589607?\nAnswer: 1854550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18170, -18174, -18178?\nAnswer: -18182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -125, -221, -357, -545, -797, -1125, -1541?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -136+0.14442016\nAnswer: -135.85557984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*f, 2*n = -f - 2*f + 5. What is the first derivative of 0 - 37*d + 0 - f + 32*d wrt d?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:07 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1202 - 599 - 603 - 572*s**3 - 211*s**2 wrt s.\nAnswer: -3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-2) + -1 - -2. Let s = -3 + c. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398751?\nAnswer: 17, 149, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.6832 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 10 (b) -14 (c) 2\/25 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7602 and 12?\nAnswer: 15204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 35) + 23 + (4 - 12) + -42\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*b + 40 = -b, v + 16 = -4*b. What is the second derivative of 11*j**5 + v*j + 11*j**5 + 5*j**5 + 0*j wrt j?\nAnswer: 540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*g + 5*k - 14, -g - 3*k = -10. Let y be ((-1)\/g)\/(7\/28). What is the third derivative of 4*l**4 - l**4 + l**y + 0*l**2 wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 981724 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 7. Let w be t(-5). Let h = -12 - w. Let v = -8 + h. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/724 and -173\/428970.\nAnswer: 857940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 10942*a - 4*a**3 - 10942*a.\nAnswer: -4*a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11278+2280649020\nAnswer: 2280637742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, -7, -20, 0 in descending order.\nAnswer: 3, 0, -7, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 20*g**3 - 2*g**2 + 2. Let t be m(2). Calculate the greatest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/6 - 2347*x\/2 - 14090\/3 = 0. Calculate x.\nAnswer: -4, 7045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) 4\/3 (c) 2 (d) -2\/529 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1462418 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100608 and 3840?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 at most 2\/176535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6845*s + 1697558. Give f(248).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) -3\/2413 (d) 182 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 641 (b) 0.05 (c) -1\/2 (d) -0.3 (e) 2\/23 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4239, -4076, -3913, -3750, -3587, -3424?\nAnswer: -3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3987*t = -6439*t - 76012 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14443 - 0.2.\nAnswer: 14442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12*4 - (-8)\/2. Let l be i\/(-15) + (2 - 8\/5). Let p be 1\/5*2*-10. Are p and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 44 = -3*r + 17, -d = 4*r - 14. Solve g = -d + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18*v + 12. Give b(-9).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o. Let w(g) = 3*g**2 - 1. Let y be w(-1). Suppose 2*d + y = 3*d. Let r(a) = a + 0*a - 5*a. Calculate d*h(b) - 9*r(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 + 13*k + 5. Suppose 81*j + 65 = 74*j + 2*t, j - t = -10. Give i(j).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1.73194?\nAnswer: 8.6597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/77*(-484)\/((-110)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v + 4. Suppose -13 + 49 = 9*f. Let z(p) = 20*p + 9. Let r(d) = f*z(d) - 9*l(d). Let n(c) = c. Give -5*n(s) - 4*r(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 16*u - 19*u - u**3 - 2 - 2*u**2. Let t be k(4). Calculate the greatest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 1222310?\nAnswer: 1222317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7106 and 1309.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let m be g(4). Let c(w) be the second derivative of -4*w**3 - 13*w**2 - 24*w - 2. Let v be c(-1). Sort m, 5, -4, v in decreasing order.\nAnswer: 5, m, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/16)\/((-4 - -6)\/(-2*1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-11)*6\/(-4)*(-3524)\/(-2643)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(12\/(-120))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + x**4 + 0*x**4 + x**4 - x**4 + x**4 + (-x**3 + x**3 + x**3)*(-4*x + 2*x + 3*x).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)**(19\/6)\/(a**(-3\/4)*a**1))\/((a*a**0)**(49\/5))**(-38) assuming a is positive.\nAnswer: a**(22709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90400 is divided by 15006.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcu when three letters picked without replacement from {c: 3, z: 2, p: 4, u: 2, d: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1387860 and 15.\nAnswer: 1387860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - m - 592419 + 592406.\nAnswer: -2*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*7\/42*2)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10324 - 3?\nAnswer: -10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*b - 4, 4*w - 6*b = -4*b + 22. Suppose 0 = -w*j + r + 2276, -687 = 2*j - 5*r - 1825. Suppose g = 3248 + j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + -144.91. Let p = -0.09 + n. Let c = p + -12.0000002. Round c to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0843 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 987234 and 1776.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1555, -11, 0.5, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and 1134373?\nAnswer: 79406110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2363 + 2415. Solve 0 = n - 14*n - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 39*q + 307. Calculate the remainder when 330 is divided by n(-45).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 + w**2 + 2*w + 1. Let j be v(-1). Suppose j*x - 339 = -4*m, x + 213 = 5*m - 206. Let k be (-1)\/(-2)*24\/m. Sort 0, -1, k in descending order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2 and (0 - -2) + 25\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116924*q**4 + 36*q**3 + q**2 + 259997*q?\nAnswer: 2806176*q + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/16*(912\/(-95))\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 2827.6697221.\nAnswer: -2827.7297221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1852623 - -140802867.\nAnswer: 142655490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10223755.\nAnswer: 5, 571, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86546 by 43273.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 14. Find the common denominator of (-21)\/(-12)*(-1)\/4 and (122\/b)\/((-180)\/(-54)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 - 5316*n**3 - 551511*n**2 - 12835866*n - 23508168 = 0.\nAnswer: -1663, -76, -31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = d - 2*n - 2, 2*d - n + 29 = 0. Which is the nearest to 0? (a) d (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5097 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15, 6*z + 4*j = 2*z + 36. Let d be 28*(-4 - (-19)\/4). Calculate the greatest common divisor of z and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 15 (c) 0 (d) -4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.95 + -9. Let i = 0.35 - y. Put -1, i, -3\/8 in descending order.\nAnswer: i, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4416, -8838, -13260, -17682?\nAnswer: -22104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -175, -262?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 4*f + f)*(-794*f + 777*f + 20 - 96).\nAnswer: -34*f**2 - 152*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + -9. Let b = c + 82. Solve 10 = 2*j + b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -38*r + 268. Let a be b(5). Solve -3*z + 75 = a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 5. Let i(z) = 3*z**3 + 2*z**2 - 1. Let g be i(-1). Let l be f(g). Solve -u - 4*x = -2, 2 = -2*u + l*u - 3*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17120, -17096, -17026, -16886, -16652, -16300?\n\"Answer: 4*c**3 - c**2 - c - 17122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/10200*-16305 - (-2)\/102*-6.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2\/(-5)*3 + (-650675)\/(-2125)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1144 greater than or equal to -1144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 12. Let q be f(5). Suppose 5*w + k = 13, -5*w + 23 = -q*k - k. Suppose 4*b - 5*p = 84, -3*b + 101 = w*p + 11. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 126 = 45, 29*w + 12 = 2*q + 29 + 74 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 15332, 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3197*l**3*o**2 + 9*l**2*o**2 + 1617*o**2 + 3*o + 24 with respect to l.\nAnswer: -9591*l**2*o**2 + 18*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6434976 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 9. Suppose -3*r - t = -0*r - 34, 4*r + 5*t = 27. Suppose -2*n = -5*v + r, -n - 3 = 3*v - 2. Calculate i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 345. Solve -31 = -21*q - k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118213 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5658, 11309, 16940, 22545, 28118, 33653, 39144?\nAnswer: 44585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24316873 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189442, 189800, 190146, 190474, 190778, 191052?\nAnswer: 191290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-63) + (-6)\/(-27). Which is the closest to -1\/2? (a) u (b) -2\/9 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by ((-1350)\/100)\/((-3)\/16*2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3634, 3024, 1370, -1850, -7158, -15076?\n\"Answer: -87*q**3 - q + 3722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 3*l + 1. Let h be p(-3). Find the first derivative of -h - 5 - 56*a + 90*a - 70*a wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-26) + 18\/81*6*93\/(-62).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 411*i**2 - 228 + 19925*i**2 - 492 + 720 as x + g*i + c*i**2 and give c.\nAnswer: 20336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let a(t) be the second derivative of -2*t**3 - 16*t. Calculate a(n(y)).\nAnswer: -60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + 12*h - 31. Let x be a(-14). Let q = -820 + x. Differentiate -22 + q*d**2 + 12*d**4 - 941*d**2 with respect to d.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w + 5*w. Solve w = 7*c - 2*c + 3*s + 2, -7 = 4*c - 3*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**2*x*y + 18*w**2*y + 87*w**2 + 4811594*w*x - 3*w*y - 55*w + 2*y wrt x.\nAnswer: -2*w**2*y + 4811594*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35844370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 65 = 0. Suppose -p*k = -10*k + 3. Let w be (3 + k - -1 - 2)\/1. Which is greater: 30 or w?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 68958.\nAnswer: 344790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 2 - (-1 - (-3 + -2)). Factor o + 1\/3*u**2 - 1\/3*u.\nAnswer: u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4184 - 715. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-103)\/(-2) + (2 - -1)\/6. Let u(c) = 29*c - z*c + 22*c. Let g(v) = -10*v. Give u(g(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, -4 in increasing order.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b8438 (base 15) in base 8?\nAnswer: 63363673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -18. Suppose 2*h + i = 5*v + 1, -5*h = -20. Solve -5*q - 10 = a - 0*a, v*q + 19 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**6 - 40*i**5*m + i**2*m + i**2 - 477*i*m wrt i?\nAnswer: 1080*i**3 - 2400*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637609423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10688 + 10443. Which is smaller: w or -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 4. Let x be ((-21)\/3 + -3)\/s. What is the second smallest value in -0.1, 5, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, m: 4, f: 9, c: 1, s: 1}. Give prob of picking 4 v.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/5)*1805\/(-361).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -27. Let w = -17 + r. Suppose s - w*i - 235 = -7*i, 0 = -3*s + i + 757. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 6*i**2 + 9*i - 39. Let p be k(5). Is (p\/(-19))\/(1\/13229) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 5, -2\/1413, 0.0053, -5.\nAnswer: -5, -0.14, -2\/1413, 0.0053, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040336?\nAnswer: 2, 11, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/4 - 69*p**3\/4 - 990*p**2 + 1007*p = 0. Calculate p.\nAnswer: -38, 0, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**4\/24 + 7*l**2. Let o(q) = 2*q + 693. Let b(i) = -3*i - 1001. Let a(r) = 5*b(r) + 7*o(r). Give j(a(u)).\nAnswer: -u - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 7580, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45628)\/(-1980) - 16\/360?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g + 0 + 239*g + 0.\nAnswer: 152*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6368545421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*j, -6*k + 2*j - 7 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + r)*(7*r - 56 + 56).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20477 (base 10) to base 3.\nAnswer: 1001002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.4 - 37. Let z = -12 + m. What is z rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 9*v + 2. Let y(n) = n**3 - 7*n**2 + n. Let r be y(7). Let g be q(r). Let t be g\/9*3\/1. Which is the closest to 1? (a) 0.2 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 0.478617?\nAnswer: 0.078617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(228)*-3)\/(-3*sqrt(972)))**2*1.\nAnswer: 304\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160082 and 624.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13232992, -52932021, -119097070, -211728139, -330825228, -476388337?\n\"Answer: -13233010*k**2 + k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1023 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 0.38.\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:50 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45951 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115*r**2 + 115*r**2 - 4*r**3)*(-3 + 3 + 3) + (-5*r - r + r)*(11*r**2 + 21*r**2 + 6*r**2) to the form s*r**2 + y + b*r + h*r**3 and give h.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3.6, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -38. What is the smallest common multiple of ((-135)\/(-90))\/((-6)\/(-40)) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 60 = 8*k. Let b = k + 17. Find the second derivative of 26*l**b - l + 12*l**3 + 15*l - 26*l**2 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = 4*m - 26, -2*l - 4 = -2*m. Suppose -2*y + l = -3*p, -4*y - y + 22 = p. Suppose 4*c = -4*h + 124, 21 = y*h - 3*c - 75. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -73957\nAnswer: 665613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43998342607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2 - 1. Let m(n) = -2*n**3 - 9*n**2 - 3*n + 3. Let j be m(-4). Calculate p(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 8*h + 24*h + 702 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(1\/24))**(-2\/71) assuming u is positive.\nAnswer: u**(-1\/852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60971, -243893, -548761, -975575, -1524335, -2195041?\n\"Answer: -60973*o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46115 is divided by 497?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.028.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q - 99. Let k = -37 + 63. Suppose -3*d = -3*z - 30, 5*d + 4*z - k = q. What is the greatest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -610, -926, -1242?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, j: 9, b: 3}. What is prob of sequence aj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.828909 hours?\nAnswer: 49.73454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 0 + 68 + -44 + (6 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(75) + sqrt(3)*1*2 - (sqrt(75)*-2 + -3*sqrt(3)*4))**2.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 9. Let a be w(6). What is the remainder when 38 is divided by (-32)\/a + 4\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - (-384)\/15. Suppose -4*k + 2*j + 0 = o, -30 = 5*k - 3*j. Let z(n) = -n + 4. What is the tens digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 4*i**3 - 8*i**3 + 0*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 77*q + 12. Let z(k) = 76*k + 9. Let w(j) = 3*g(j) - 4*z(j). Let y(i) = 7*i. Calculate w(y(a)).\nAnswer: -511*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 11:23 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5224 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22485409?\nAnswer: 53, 571, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 1124, 1685, 2246, 2807?\nAnswer: 3368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -2*n. Suppose 4*y + 31 = n*c + 11, -5*y = -2*c - 5. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2296.\nAnswer: 1\/2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2733 and 8?\nAnswer: 21864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-468)\/(-15)*(-1705)\/(-1364)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4. Let i = r + -1. What is the first derivative of i*w**2 + 3 + 2 - 2 - 2*w**2 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 37*k**2 + 41*k + 117. Determine c(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -1, 180, -9 in increasing order.\nAnswer: -12, -9, -1, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20047444 + 4.5?\nAnswer: 20047448.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d**3 + 34*d**3 - 74*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5\/((-10)\/419)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371940543 = 104*m + 250*m + 177*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:18 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4)*(-1995)\/1425)\/(-1)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + 41b?\nAnswer: 3f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 6*f**2 + 9*f - 2. Let m(t) = -6*t**3 + 3*t + 3. Let n be m(-1). Let a be w(n). Let b = -50 + a. Solve 0*c + b = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -9)*((-357)\/14 - -12 - -14). Put 5, r, 52, -24 in descending order.\nAnswer: 52, 5, r, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4217600 and 13\/8435200.\nAnswer: 8435200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(112))*6)**2*-4.\nAnswer: -16272 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 5 + 5 + (-3 - 3 + 2)*(-2*v + 0*v + 0*v)*(-2 - 1 + 1) to the form j + q*v and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 3 - 2 - -1. Suppose -m = -8 - 3. Calculate the remainder when m is divided by 1 + (-1)\/b*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + i - 3*i**3)*(7*i - 9*i + 6 + 4*i) + (-4 + 3*i**2 + 4)*(112*i**2 - 4*i**2 + 45*i**2) to o*i**3 + y*i + l + x*i**2 + d*i**4 and give d.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10675 is divided by 7546.\nAnswer: 3129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (8 + -15 + -14)) + 10 + -2 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/11)\/(k*k**(-1\/4)*k)*k**(-2\/35)*k**6 assuming k is positive.\nAnswer: k**(6037\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + y = -4*q + 24, -q - 16 = -5*y. Let b = -20.9 + 25. Let m = 0.1 - b. Sort m, -3, q in decreasing order.\nAnswer: q, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 264 and -0.3.\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/26 (b) 0.3 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -4 - -1 - (0 + -37 + 7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 10155 = -24. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2611706 and 3508?\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822414 is divided by 420?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 12}. What is prob of sequence hcc?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - 7*h**5\/60 + h**4\/8 + h**3\/3 + h**2. Let d = -2449 + 2456. Determine z(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -11*g - 11. Let v be d(-3). Suppose -6*c = 5*c - v. Find the third derivative of -9*r**5 - 21*r**c + 4*r**2 - r**5 + 2*r**5 wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9692*i**4*w**2 - 9601*i*w**2 wrt i?\nAnswer: -116304*i**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let i(m) be the third derivative of 0 + 0*m + 0*m**4 + 1\/30*m**5 + m**2 + 0*m**3. Give k(i(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646167 - 42*d**2 + 646167.\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 7*g**2 + g - 5. Let k be x(7). Let u be 1\/4 + (-6)\/(-8). Suppose -2*w - u = -37. Solve 5*o - k - w = -2*h, -3*o = -3*h - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.492320624 rounded to five dps?\nAnswer: -0.49232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 + 21*f**4\/2 - 103*f**3\/2 - 431*f**2\/2 - 381*f\/2 - 35 = 0. Calculate f.\nAnswer: -7, -2, -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 minus -83221036157?\nAnswer: 83221036157.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -176. Let g = -97 - j. Solve -2 = -3*m + z, -g*z - 1 = -4*m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-225)\/(-108))\/5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 21*a - 2*a - 1 + 0. Is o(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-12))\/((-1)\/15). Let x(s) = -49*s - 5. Let t(n) = 86*n + 8. Let u(m) = -4*t(m) - 7*x(m). Determine u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/(-621))\/(6\/(-18)). Let g = u + 4\/23. Factor -4\/3 - g*h**2 - 4\/3*h.\nAnswer: -(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/4 - 5*b**3\/3 - 7*b**2\/2 + 7*b + 3. What is the common denominator of (12\/56)\/(2\/(176\/(-3))) and i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457715172.\nAnswer: 2, 3, 179, 409, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60543.98707 minus -1.14?\nAnswer: 60545.12707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -72123.\nAnswer: 76\/72123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -75*x - 2602. Calculate q(-35).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(147) + sqrt(147).\nAnswer: -14*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-16)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11822338 is divided by 110.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4476000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55570 + 1314. What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(175)\/(sqrt(56)\/sqrt(8)))\/sqrt(5) + (-2*sqrt(160)\/sqrt(4))\/(1*sqrt(32)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -28293?\nAnswer: -28292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 65*m**2 - 359*m + 28055. Give a(66).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**5\/5 - 2*s**4\/3 + 5*s**3\/9 + s**2 + 2. Find i such that y(i) = 0.\nAnswer: -3, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, -5, -231, -2, -240 in increasing order.\nAnswer: -240, -231, -5, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 42. Let q be g(-10). Let w be q\/12*(-3)\/1 - -3. Solve -5*p + w = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 155\/(-10))\/((-15)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/36 + (-16)\/(-9). Let j(m) = -5*m + 7. Let q(d) = -9*d + 13. Let n(h) = -11*j(h) + 6*q(h). Let a be n(7). Solve a = -x*i + 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1.9 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/40 - -2)\/((-9)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2867*l**3 + 2223*l**3 - 5105*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 15. Let y = -0.21 + 10.21. Let q = y + -9.9. What is the second biggest value in q, d, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 13. Let n be (-60)\/(-50)*w\/2. What are the prime factors of (-540)\/(-14) + n\/(-21)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119 and 35.50031?\nAnswer: -4224.53689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593282038 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 142. Let y = i - -140. Suppose -y = 3*s - 6*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -262*v**6\/45 - 133*v**5\/15 - 2*v**4\/9 + 696*v. Factor x(p).\nAnswer: -4*p**2*(p + 1)*(131*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13633\/42 - -2446\/7. Let q = -930 + 3657\/4. What is the common denominator of o and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 26*u**2 - 30*u + 2. What is the remainder when l(4) is divided by 110?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15437 = 5*u + 2*a, 2*u - 2*a = -4577 - 1595. Let y = -1752 - u. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - w**3 + 2*w**2 + 3*w - 18 + 11*w**2. Let p be i(16). Suppose 7*x - p = 4*x. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42121 (base 5) in base 14?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3886.86*-1.38.\nAnswer: -5363.8668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c - 1. Let g be p(-1). Let u(m) = 2*m**2 - m + 1. Let l be u(1). Suppose 0 = l*q - g. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -325, 1191, 3715, 7247, 11787, 17335, 23891?\n\"Answer: 504*z**2 + 4*z - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -7, 1, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, -7, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**24)\/((x*((((x\/(x*x*x\/(x**(-36)\/x))*x)\/x)\/x)\/x)\/x)\/x*x*x)*x\/(x\/(x\/x**(-3\/16)))*((x\/x**(-27))\/x)\/x assuming x is positive.\nAnswer: x**(1475\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, x: 1, u: 2}. What is prob of picking 3 x and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-8))\/(1\/4). Sort -4, p, -5 in ascending order.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhzz when four letters picked without replacement from {z: 7, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832) + sqrt(832))*-3 + 1)**2 - (0 + 3*(0 + sqrt(468))**2).\nAnswer: 192*sqrt(13) + 28552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -99*d**2 - 261*d + 230. What are the prime factors of r(-6)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5677609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783*q + 56121 = 344*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24357 is divided by 200.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33013231123 (base 4) to base 11.\nAnswer: -226801a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 950664 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*m - 5*m - 2, 4*j - 5*m - 32 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 6) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -7*v - 36. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22912.4547243 + 22772.45473. Let n = 140 + k. What is n rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipftdixidifdttxxxxx. What is prob of sequence pxft?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 + (-315)\/(-25). Suppose -k = -2*g + 13. Find the third derivative of 5*s**5 + 3*s**2 - g*s**5 + 11*s**5 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from nlgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*c - 45843 - 124815, 170688 = 5*r + 3*c. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 20772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (1 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g + 20. What are the prime factors of t(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.86 times -1237.8294\nAnswer: 1064.533284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.34732375 to four decimal places.\nAnswer: 13.3473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:51 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*u - 16*u - 14*u)*(-9*u**2 + u**2 - 3*u**2) to d + q*u**3 + h*u**2 + s*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (12 - 14)) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 146, 249, 388, 569, 798, 1081, 1424?\nAnswer: 1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4456 - 2*o**2 + 0*o**2 - 4456 - 3*o**2 + 4*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-157)\/((-77715)\/198) - 0*1\/(-4)*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + 0*x)*(-x + 3*x + 4*x)*(1 - 2 + 2).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*j - 2*j + 68, 0 = 3*k - 5*j - 58. Let m be 10 - (2\/(-2) + 0). Suppose -5*u + k - 4 = 2*g, m = g + 2*u. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229486089829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u**2)*((u + 0 + 0)*(-u**2 + u**2 + 2*u**2) + 22*u**3 - 46*u**3 + 28*u**3).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1595, 6387, 14375, 25559, 39939, 57515?\nAnswer: 78287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*w + 1509 = 172, 0 = -2*c - w + 903. Suppose 9*q = -418 + c. Solve -q*m = 2*r - 6*r, -3*m - 6 = -r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from okkvooookkovk?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26295*b**3 + 2*b**2 + 172643*b?\nAnswer: -157770*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-185*12\/5. What is the common denominator of 61\/16 and y\/9*1\/24?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-156285)\/36)\/(-115)?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 173 and 5.\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 78655?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 5*a - 13, 5*n - 5*a = -5. Let s(o) = o. Let p be s(n). Find the second derivative of 0*w + 6*w + 7*w - p*w + 6*w**2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2. Let g(w) = -6*w - 4. Let v(l) = 17*l + 11. Let p(u) = 11*g(u) + 4*v(u). Calculate x(p(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = 13*i - 16*i, 3*u = -i + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*b**4 + 10122*b**3 + 110*b**2 - 369348522*b?\nAnswer: -456*b**2 + 60732*b + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16487412 is divided by 657?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -2\/10279 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 5*h**2 + 2*h + 61. Does 4 divide d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 9*u + 2*g - 20333, 0 = 3*u - 2*g - 60959. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 113 + 113.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 161532 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 141*g - 3. Let p be c(3). Let z = -417 + p. Solve 0*x - z*x - 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 - 5*y + 2. Suppose -9 = -2*j + 3. Let o be c(j). Suppose 8\/5 + 42\/5*d**2 - 10*d**4 - 8*d**3 + o*d = 0. Calculate d.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572257 - 572602.189. Let u = 345 + t. Round u to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*s**3 + 90550*s**2 + 45561740*s + 10120360.\nAnswer: 5*(s + 1006)**2*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:14 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626602?\nAnswer: 2, 813301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (1 + (-8)\/4). Sort 3, -5, x in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4804 = 29*i + 1672. What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16060 and 39006528.\nAnswer: 195032640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7085 from -0.4.\nAnswer: 7084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 911, 909, 893, 857, 795?\n\"Answer: -a**3 - a**2 + 8*a + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.8 - 8621.05.\nAnswer: -8631.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3051207772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.022 + -0.172. Let x = p + 49.65. Let j = x - 49. Put j, -3\/8, -5 in decreasing order.\nAnswer: j, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(77)*4)\/(sqrt(7) - (sqrt(7) - (sqrt(252) - sqrt(28) - sqrt(28) - sqrt(7) - sqrt(7))) - 1*sqrt(252)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66727872 divided by 538128.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 9. Suppose -5*h + 55 = 4*j, -3*h + 43 - 17 = j. Give t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 38 = -86 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 bigger than -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -439*c - 104. Let p(q) = -2. Let h(d) = b(d) + 4*p(d). What is the first derivative of h(g) wrt g?\nAnswer: -439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/273)\/((-80)\/(-60)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 15. Suppose 0 = u*f - 106 - 39. Calculate the remainder when 55 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.54, 0.3, -89, -1 in decreasing order.\nAnswer: 0.54, 0.3, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37517 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 15. Sort l, 4, 0.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 - j. Let b(z) = -7*z**2 + 0 + 8*z**2 - 3 + 3. What is b(m(d))?\nAnswer: 49*d**4 + 14*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36300 - -4?\nAnswer: 36304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**2 + 3. Let b be (-4 + -4 - 2)\/(-1*2). Let g(h) = -9*h + b*h - 9*h. What is g(v(a))?\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -111*d + 5326. Give v(75).\nAnswer: -2999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73202 + -12555. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - v = -1, 5*g + 46 = -4*v + 47 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2387\/49910)\/(18\/828).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 41*a = 38 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 256293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k + 2080 = 75*k. Suppose 115*b = k*b + 16170. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10212\/(-322) - 2\/7) + 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 40, 63, 90, 121, 156, 195?\n\"Answer: 2*n**2 + 13*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from hhhhhhhzhhhchzhhz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58290*v**2*w - 55319*v*w wrt v.\nAnswer: 116580*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + 0 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}