diff --git "a/data/dm_maths/full_data/10212_11255.jsonl" "b/data/dm_maths/full_data/10212_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10212_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = 2*c + 4*t - 2, -c - 3*c + 9 = 3*t. Suppose 4*y = -c*h + 2, -3*y = -2*h + y - 12. Let i be h*(-4)\/(-8) - -3. Solve i*p = 5*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1111?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + -2 - -1) - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 - r + 1. Let v be j(1). Find the second derivative of -33*m**3 + 3*m + 33*m**v - 2*m**5 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60b818 (base 12) to base 3\nAnswer: 2211212200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -287 - -282. Let k = 0.05 + 3.95. Which is the closest to -7? (a) s (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35\/6 (b) -49 (c) 1\/5 (d) 3\/2 (e) 0 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o - 3. Let i(l) = 29*l - 1. Let s be i(o). Let n be 1 + -2 - s\/(-20). Is 2\/11 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28193700 rounded to the nearest 100000?\nAnswer: -28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 + (-5)\/(-2). Solve -c = c + 4*g + 18, t = -c - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1041*d**2 + 3766*d**2 + 2856*d**2)*(-2*d + 2*d - d**2).\nAnswer: -5581*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1195 and 3346?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -145, -70, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000434306953 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -869*f**2 + 4*f. Let o(s) = 51271*s**2 - 237*s. Let k(n) = -237*a(n) - 4*o(n). Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2010 - -2087. What is the lowest common multiple of a and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/84 and (158\/(-8) - -10) + -9?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63167, 63546, 64381, 65900, 68331, 71902, 76841?\nAnswer: 83376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 18) + (-5 - (10 - (1 + 3)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 - 3 = -3*l, 5*p + l = -14. Let g be (-5 - p)*(-202)\/(-4). Is g\/(-4) - 1\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4 (c) 1.4 (d) -35 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2026 - -10131\/5. Which is the second smallest value? (a) 0 (b) o (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 + -54. Differentiate -105*x + 9*x**3 + 5 + k*x wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6323, 6429, 6535, 6641?\nAnswer: 6747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 109904.673 to the nearest one hundred.\nAnswer: 109900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-768)\/80)\/((-4)\/70). Let g = l - 241. Let h = g + 74. What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-174))\/(((-24)\/(-180))\/(8\/(-10)))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:18 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.35 - 22.6545. Let g = u - -24. What is g rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15691596 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o - 22. Suppose 246*q - 241*q - 10 = 0. What is a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -18 + 36. Let n be (6\/36)\/((-1)\/(d\/8)). What is the closest to n in 0.4, 0.5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/(-8))\/20)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 115?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4)\/(-4 + 300\/80)*-1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2. Let f(y) = -2*y**2 - 2*y. Let v(b) = 2*b**2 + 3*b. Let q(s) = 3*f(s) + 2*v(s). Give q(j(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1710\/(-21))\/(92440\/(-64708))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 + -4. Let f = -4 - -9. Which is the third smallest value? (a) f (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246991 (base 12) to base 13\nAnswer: -17982a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 1. Let r be u(0). Are -3 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/39))**1*((n\/((n**(-1\/48)*n)\/n))\/n)\/n*(n\/n**5)\/n assuming n is positive.\nAnswer: n**(-1233\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -822816 by 205704.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 31612.\nAnswer: 158060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14499 + -15676. Which is smaller: n or -1175?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = b - 25, -2*b - 74 = -4*b + 4*v. Let f = b + -47. What is the common denominator of 81\/2 and (1 - 34\/27)\/(f\/(-336))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(2*q**5 - 3*q**3 + 3*q**3) + 3*q**5 + 0 + 0 + (-2*q - q + q)*(0*q + 0*q + q**4) - 7*q**4 + 7*q**4 + 8*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.042 from -1338.\nAnswer: -1338.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29765 or -416695\/14?\nAnswer: -416695\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0 + 0*x + 1\/12*x**4 + 11\/3*x**3 + 3*x**2. Let f be m(-7). Calculate the greatest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22501644 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, i: 2, n: 5}. Give prob of sequence yi.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 + 27*q + 174. Determine n(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34393 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 19*u - 11*u + 1 + 76*u. Let x be n(10). Let t = x - 594. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4761 + -61899\/13. Which is the second smallest value? (a) r (b) 2 (c) -0.1 (d) -3 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 11*l**2 + 5693*l - 187886. Give c(30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-270)\/(-28))*(-340)\/(-238).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 68 + 136)*(-3*n + 0*n + n)*(3*n + 5*n - 12*n)*(-3*n + 3*n + 2*n).\nAnswer: 2880*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 359 = -u, -4*a + 1573 + 166 = 5*u. Let k = u + -349. Solve -5*w + 0 = 5, -k*v + 5 = 5*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 58 = 38. Suppose 2*p - 48 = 3*r + 5*p, 4*r + 58 = -p. Is w\/r + 2\/(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 15*a = 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 4*b)*(-162 + 136 - 63).\nAnswer: -89*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h + 7. Suppose 6*o + 12 = 4*o. Does 24 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 164 + 300 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 40*r**4 + 130*r**3 + 65*r**2 - 25*r = 0?\nAnswer: -5\/2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 12*p**2 - p + 102. What is w(-10)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1988 - -5966\/3. Which is the second smallest value? (a) 0.03 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1294*c**2 - 1435*c**2 - 64*c**5 - 485*c**5 - 4*c**4 - 3012*c**2 - 4113*c**2 wrt c.\nAnswer: -32940*c**2 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, 27, 113, 241, 411, 623, 877?\n\"Answer: 21*i**2 - 19*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 40 = 47. Let h(t) = t**3 + 16*t**2 + 60*t - 6. What is the remainder when h(k) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*w + 478*w**3 + 0 + 12*w.\nAnswer: 478*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/7, 3\/5, 2, -5\/4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvttttvtvtvtvtvvvtt?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 69*q - 194 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 5\/12*o**4 + 0*o**6 - 2\/21*o**7 + 0 + 0*o**5 + 0*o**3 + 0*o + 24*o**2. What is the second derivative of k(n) wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 10422056?\nAnswer: 10422104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 493667*f + 3*f**2 - 1 + 493670*f + 2*f**4 + 578*f**3 - 987338*f to the form v*f**3 + o + b*f**2 + n*f + w*f**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80166, -5, 0, -4 in increasing order.\nAnswer: -80166, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1238*l - 4671. What is the remainder when k(-4) is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -14889.\nAnswer: -4466.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741859?\nAnswer: 741859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.103 * -4.\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2726 divided by -1196?\nAnswer: 1363\/598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40107986 + 70350024. Suppose -m = -3*t - 31000015, 2*m - r = -t + 31757957. Suppose m = -o - 4*o. What is o rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 17*b**2 - 5*b - 28. Let a(l) = -9*l**2 + 2*l + 14. Let k(j) = 11*a(j) + 6*m(j). Let u be k(-4). Factor 54*d + 3*d**2 - 102*d + 27 + u*d.\nAnswer: 3*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17588 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110.5 - 111. Which is the fourth biggest value? (a) 0.04 (b) m (c) -2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21840 or 2?\nAnswer: -21840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 0.1. Let p = x + 1.31. Let r = -0.4 + p. Put 2\/7, 0.1, r in descending order.\nAnswer: r, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f3 - 5?\nAnswer: 2ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.22 - 46.22. Is m < -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901867 is divided by 1014.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-q - 7 + 40 - 5 + (0 - 3 + 4)*(2*q - 3*q - q)).\nAnswer: 3*q - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 95 = -29. Let n(d) = -252 + a*d**2 + 252 - 21*d. List the prime factors of n(3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.766 + 273.\nAnswer: 276.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.3 - 12. Let d = -170.4022 - -0.4122. Let l = d + 170. Sort l, 0.1, n.\nAnswer: l, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.91919 decades in millennia?\nAnswer: 0.6891919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 110652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 948 = 2*x, 2*m - 1861 = -4*x + 3*m. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w**4\/5 - 1152*w**3 - 108268*w**2\/5 - 62112*w + 2511936\/5 = 0. Calculate w.\nAnswer: -178, -12, 98\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123.93 or 1?\nAnswer: 123.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 917 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6088*q**3 - 10261*q**3 + 4174*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 12 = 0. Suppose 3*b + 23 = 5*b + 5*s, -t = -s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 25 = s - 2, 2*g - s - 48 = 0. Let c = -22 - -28. What is the remainder when g is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 617925 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, s: 7}. Give prob of picking 3 s.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 23804973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:07 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 2, f: 1, k: 7, z: 5, e: 1}. Give prob of sequence zkf.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a63 + 5c1?\nAnswer: -9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 - 2*r - 8. Let z(k) = -8*k**2 - k - 8. Let i(v) = -7*a(v) + 6*z(v). Let p(b) = b**3 + 14*b**2 + 49*b - 2. Let h be p(-6). Calculate i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**5 - p**4 + p**2 + p - 1. Let o(n) = n**5 + 3*n**4 - 3*n**2 - 4*n - 11. Let r(u) = -3*b(u) - o(u). What is the second derivative of r(v) wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, -1, -17 in decreasing order.\nAnswer: 0.4, -0.3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 19. Let j be (9\/r)\/((-78)\/8). What is the nearest to 0 in j, -4, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 362*c**2 - 370*c - 1847. Give w(-180).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -26, 0.004, 2, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*v = 66, 15 + 15 = -2*w + 2*v. Let q(b) = -b - 19. Let u be q(w). What is the hundreds digit of 234*u*(-10)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2106 and 360936.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-2 - -2)\/(-2). Let w(f) = 3*f**2 - 10*f - 7. Let g(q) = -2*q**2 + 6*q + 4. Let o(l) = 7*g(l) + 4*w(l). Let b be o(d). Solve -a = -b*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, 42, -5, -1493.\nAnswer: -1493, -5, -3, 0, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472340 > 1472351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.599146331 rounded to 3 decimal places?\nAnswer: 2.599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/4 + a**2 + 3*a = 0. Calculate a.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -r + 62, 0 = -o + 4*r - r + 24. Suppose o = 3*k - f, 4*k + 0*f + 2*f = 40. What is the remainder when 13 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16960 (base 11) to base 16\nAnswer: 5ce6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 20. Let o be x(-9). Suppose 130 - 118 = o*b. Solve -12 + b = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 + 0 = 0. Let k be 35\/5 + (y - 3). Let q(t) = -t + k*t**2 - 3*t**2 + 8*t + 4. Calculate q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 36*m + 12 = -39*m, 0 = -5*o - 5*m - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let c(f) = -f. Let s(a) = -5*c(a) - 3*q(a). Let u be ((1 - -2) + -3)\/(-3). Let v(x) = u*x**2 + 4*x + x**2 - 4*x. What is v(s(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 2, w: 1, q: 1, h: 1, m: 1}. Give prob of picking 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 143, 290, 437, 584, 731, 878?\n\"Answer: 147*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -665 + 680. Calculate the highest common factor of s and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-3 + 1)\/(-2)). Suppose 0*r + 3*w - 21 = -f*r, 2*w + 2 = 0. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 + 2*p - 2. Let y be s(0). Put y, 0.6, 4 in descending order.\nAnswer: 4, 0.6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29053809*u**3*w**2 + 5*u**3 - 40472444*u**2*w + 1 wrt w.\nAnswer: -58107618*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -620 + 932. What is the hundreds digit of (-2)\/16 + -3*(-70109)\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260288 + -0.075.\nAnswer: 260287.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -4*d - 4*f + 63, -d = 5*f + 35. Solve v = l + 5, -d*l + 2*l - 19 = -5*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-6)\/(0 - 2). Suppose -9 = -d*z - 0. Suppose -4*u + 6*m = 2*m - 56, z*u + 2*m - 17 = 0. What is the smallest common multiple of u and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -119.000705. Round z to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 126 + 4*t - 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1, 96, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 14\/61, 0.4, 1\/8, 0.3, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(-62 + 11 - 9).\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from cqzqqzqzcvcqqq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 - (-963)\/2996.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 83 - 134 + 23 to the form j*n + a*n**2 + c*n**3 + s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 110. Let b = k - 48.031. What is b rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, -876, -3, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)*74 + 5. Let g = 41 + l. What is the highest common divisor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 1674*v**4 + 18141*v**3 - 49230*v**2 = 0. Calculate v.\nAnswer: 0, 5, 6, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffofffffyyfy. Give prob of picking 4 f.\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -12*n + 297\/5 + 3\/5*n**2 = 0.\nAnswer: 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410623055 to the power of 1\/3, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*3 + -1 + -2 - (sqrt(288)\/sqrt(6) - (-3 + sqrt(3))*6))**2.\nAnswer: -1596*sqrt(3) + 4773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -266 divided by 15\nAnswer: -266\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9*k = 11*k - 6, 0 = -5*f + 3*k + 48. Let a(y) = -2*y**2 + 12*y - 5. What is a(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 257 = -8*d. Let r = d + -25. Solve -5*x = n - 10, -4*n - r + 32 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -4 (c) 4\/5 (d) -286\/35 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 370 = -7*x. What is the third smallest value in 2, x, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:27 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 5*i + 11*i. Suppose -24 = 7*d - i*d. Solve d + 2 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 437 = -2*s, -4 = -3*l - 19. Let g = -143 + s. What is the remainder when g is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7975*o - 614066. Calculate w(77).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r**2 - 1053*r - 1337. What is t(89)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, 3, -17, -5 in descending order.\nAnswer: 3, 9\/5, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 + 13*t**2 - 58*t + 6. What is the tens digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*153\/(-17)*1\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10098 - 3365. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6582 (base 10) to base 15.\nAnswer: 1e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 27805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.4397.\nAnswer: 0.08794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-12075)\/(-46)))\/((-4)\/(-40)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 5 (b) -3\/23 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-6) + (-6)\/(-2). Suppose 0 = -3*f + 5*l + o - 3, f + 4*l = 6. Factor 1\/3*p**f - 1\/3*p + 0.\nAnswer: p*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19411.68 litres to millilitres.\nAnswer: 19411680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33515 * 0.31.\nAnswer: -10389.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) -451 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -6. Let x = -3299 - -3301. Suppose 0 = i*f + 2*k - 42, x = -k + 1. Solve -f = 5*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*c - 12, -5*c - 394 + 416 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 375029992*s**4 - 332840427*s?\nAnswer: 4500359904*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 6:19 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13398 divided by -957.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*j + 16 = 61, 2*j - 17 = -q. Suppose 5*c - 35 - q = 0. Suppose -2*r - c = -3*r. Calculate the remainder when 21 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-1368)\/1140?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248556024*r**4 + 183271332*r**2 wrt r.\nAnswer: 5965344576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-12) - (-4)\/6. Sort 10, m, 3 in ascending order.\nAnswer: 3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77212 divided by -796\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from rorrmoroooorrorm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112777\/17211 or 7?\nAnswer: 112777\/17211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 17724*a**3 - 53196*a**2 - 53204*a - 17736.\nAnswer: 4*(a - 4434)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 54. Let w be (0 - 1)\/((-3)\/27). Suppose 0 = 4*d - w*d + 25. Solve 0 = -3*p + 3*h, 3*h = -d*p + 2*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -185*u**3 - 11655*u**2 - u - 47. Determine j(-63).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5611*z + 132. Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2168.825683 to the nearest integer.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 836 = 844. Let m be (3\/9)\/((-3)\/45). Which is the closest to s? (a) -2\/3 (b) m (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 1:04 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/5051 and -61\/196989.\nAnswer: 196989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277 - 191647584.\nAnswer: -191647861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469928, 939852, 1409750, 1879616, 2349444, 2819228?\nAnswer: 3288962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 r when four letters picked without replacement from {z: 8, r: 5, u: 2}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/11235 and -23\/99.\nAnswer: 370755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 3. Let u(j) = -80 - 3*j**2 + 3*j**2 + 156 - 77 + 7*j + j**2. Calculate u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j + 10. Suppose -30 = 5*n - 5*p, 2*p = -0 + 6. Let d be w(n). Let q = d - -160. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j**(-1\/6)*j)\/j*j)\/j)\/(j**15\/j))**49*j*j**7*j*j**3*(j*j**(-1))**(2\/85) assuming j is positive.\nAnswer: j**(-3799\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/(-102)*5\/(5\/(-9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -35, 3 in ascending order.\nAnswer: -35, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from pppq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2950?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*(-9)\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*t - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + 0.3. Let k = i + -3. Which is the third smallest value? (a) 3 (b) 2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 98 (c) 1\/155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l - 7. Let t be x(-7). Let b be 19\/3 - 2\/(-3). What is the highest common divisor of b and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4453.463km?\nAnswer: 4453463000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - p**2)*(76*p**2 + 473*p**2 - 31216*p**3 + 31218*p**3).\nAnswer: -4*p**5 - 1098*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 20*h - 151. Let x be u(6). What is the biggest value in x, -0.3, 1.29, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 41*a + 25. Let q be k(20). Suppose q = 4*t - 1347. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 9480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooqgdgqsgooosodgs. What is prob of sequence sqod?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101001111111 (base 2) to base 10.\nAnswer: 19071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 373536\/8897?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1551\nAnswer: 620.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/6 + 187*l**3\/2 + 4445*l**2\/6 + 3877*l\/2 + 1659 = 0. What is l?\nAnswer: -553, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.076 + -3.224. Let a = -3.36 - m. Sort a, -3, 0.3, 3\/4.\nAnswer: -3, a, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 149*w**5\/60 + w**2 + 28*w. Let t(h) = h - 2. Let o(y) = -2*y + 3. Let s(n) = -2*o(n) - 3*t(n). Determine d(s(k)).\nAnswer: 149*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 14 - 11)*(-4 + 4 - a + (5*a - 3*a - a)*(-1 - 2 + 1)).\nAnswer: 102*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1606420727 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 861\/77 + 4\/(-22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -219*y**2\/5 - 32304*y\/5 + 61695 = 0.\nAnswer: -11425\/73, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:11 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Suppose -r + 14 = -v*r. Is 14 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 - -0.27\nAnswer: -5.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334*c - 339*c - 317*c + 339*c - 5*c + 4*c - 4*c + (-2 + c + 2)*(-1 + 2 + 1) to l + r*c and give r.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 1182 = 5*l - 3*i, 236 = -l - i. Which is smaller: l or -236?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 12:53 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-806 - 419 - 5204)*(-n + 3*n + 0*n).\nAnswer: 12858*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2284 * -7046\nAnswer: -16093064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27448 and 4136?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 26. Let b be g(0). Does 11 divide b*-3*1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 - 19*u**2 + 14*u. Let q be y(-7). Solve 2*m = -x + 8, q*x = 4*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3246 = 184*c - 41*c + 316*c + 82*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -177072.\nAnswer: -177071.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*o**2 + 24*o**2 + 28*o - 314*o**3 - 14*o - 97*o**2 - 1834*o**3 wrt o.\nAnswer: -12888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 902*f**3*i**2 + 2*f**3*i + 2*f**3 + 7667*f**2 + f*i**2 + 3*f wrt i.\nAnswer: 1804*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -2 (c) -3 (d) -17 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/37 (b) -141 (c) 1 (d) -0.2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -719305, -719299, -719293, -719287?\n\"Answer: 6*o - 719311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/4 (b) 2\/3 (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -517 divided by 77885\nAnswer: -517\/77885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*(-33)\/((-1188)\/120).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 6, d: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/3751175 and -55\/1200376.\nAnswer: 30009400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 90120.4048\nAnswer: -90120.1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(3 - 11\/3). Let t = 7 + -11. Suppose 579*y = 537*y. Sort y, d, 2, t in ascending order.\nAnswer: d, t, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 2729445*i + 13647350.\nAnswer: -5*(i - 545894)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -1\/3, -1\/2, 711, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -202.\nAnswer: 1\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by 473.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-16)\/224*(-15463)\/(-141)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxzxzxxqz. Give prob of picking 2 q and 1 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 40*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03005 and -11.74.\nAnswer: 0.352787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -19.05. Let f = 2968.7 - 2969. Which is the third biggest value? (a) -4 (b) f (c) 1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - 0 - (-2 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 287954983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*p - 1)*(-5 + 3 + 1)*(-10 + 33 + 29)*(3*p - p - p)*(-3 - 4 + 3).\nAnswer: -832*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-0.05.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 17*h**2 - 13*h + 48. Let o be r(15). Suppose -o*y + 302*y + 16 = 0. Solve 11*p - y = 7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c - 83*c + 80*j = 492, 0 = -2*c + 3*j - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/10 + -6 + 9. Let s = 18.276 + -15.276. Put -0.5, s, v in increasing order.\nAnswer: -0.5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.61 + 0.71. Does -0.006 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 359450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 663?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose -2*z + b*q = -21 - 3, -2*q + 12 = 5*z. Does 3 divide (-51)\/(-9) + z\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-4)\/20 + 86\/5. Calculate the highest common divisor of h and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4929 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-414)\/(-23)*(-2)\/(((-5)\/(-5))\/(25\/(-20)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -123080608 divided by -1837024?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -1\/220*k**6 - 1\/110*k**5 + 2 + 0*k**3 - 1\/1155*k**7 - 1\/132*k**4 + 0*k - 8*k**2. Let d(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 2. Let d = 5 - 7. What are the prime factors of n(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173970.9*0.3.\nAnswer: -52191.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -37*z**2 + 6*z - 47. Let a(o) = -5*o**2 + 2*o - 4. Let f be a(2). Let j be c(f). Let n = j - -22267. Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + 32\/(-20). Let h be 17\/4 - d\/(-8). Suppose 44 - 8 = h*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 172622 = 5*t - 41473, -4*t = 3*w - 171299. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 19*x - 19*x. Let u(r) = 16*r**2. Give d(u(a)).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let y(m) be the first derivative of 187*m**2\/2 - 95. Determine y(h(n)).\nAnswer: 374*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -7. Let k = g + 7. What is the biggest value in 1\/5, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942190987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 150410 and 0.2.\nAnswer: 30082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 12. Suppose -5*c = 5*z + 20, z = 5*c + 3*z + x. Let p(d) = -2*d + 70*d**2 - 28 + 22 - 18*d**2 - 53*d**2 + 2*d. What is p(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 0.4 (c) 5.08 (d) 10 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 + 2*n**2 - 9*n - 10. Let v(a) = 7*a**3 + a**2 - 8*a - 8. What is -4*d(t) + 5*v(t)?\nAnswer: 7*t**3 - 3*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - -1) + (-67 - -75)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.55, 1, 0.17, 6\/5, -0.2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + -7. Let f = 19 - s. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 10:00 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 34. Let t be 32 + 2*(6\/g)\/3. Let q = -7 + 73. What is the greatest common divisor of t and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6319*t + 595677 = 5434*t - 3120*t for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 99477*d**2 - 824689197*d - 824589723 = 0. Calculate d.\nAnswer: -16579, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(12)\/sqrt(4))*-1 + -3)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -10.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeoooeeooeeoeooeoo. Give prob of sequence eeoe.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*z**5 - 102395*z**4 - 2015260*z**3 - 3869065*z**2 + 35366820*z - 8568000 = 0. What is z?\nAnswer: -5100, -16, -7, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031158?\nAnswer: 2, 515579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-6)\/(3\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-50))\/(((-3)\/(-7))\/((-1860)\/2604)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.46 - 0.04. What is the second biggest value in 4, x, 6, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y - 3. Let m = -1 - y. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 356 = -0. What is p rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517222488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 172*c**2 - 6137*c + 4039. Calculate f(35).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u + 12 - 165. Suppose 0 = a + 3*r - 20, -5*r + 60 = 5*a - 0. Suppose 4*b + 0*b = a. Solve 3*c = 2*z + u, z - 1 = b*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 1. Let l = -2.15175 + -0.04825. What is the closest to l in -0.1, 0, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y - 3 - 4 = -7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - ((303 - 320) + 1 + 59).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s*s*s*s**(-9)*s*s)\/s*s*s*s\/s**6*s**(-1\/2)\/s*s\/(s*s**(1\/4)))**(-26) assuming s is positive.\nAnswer: s**(403\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 22521*t + 6635. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 15028314.\nAnswer: 180339768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837*t**2 + 1652*t**2 - 814*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 37891 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122000 (base 3) to base 8.\nAnswer: -15554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4910 + 686 = 128*x - 512 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*y + 10 - 15, -y = 2*u - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11573*h**3 - 14*h**2 - 106*h - 96. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6809 at most 34\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 176004 divided by 29334\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/7 - 129*t**2\/7 + 2118*t\/7 - 528 = 0. Calculate t.\nAnswer: -56, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74195\/(-639) - -115) + (((-9528)\/(-4239))\/2 - 0).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 7*q = 13, 2*q = 10*m - 12*m - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1814\/(-4))\/(7\/14). Let s be 162\/810 - ((-6519)\/5 + 1). Let u = s + h. Calculate the greatest common divisor of u and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k*k*k*(k\/k**(2\/37))\/k*k*k*k*k\/((k\/(k*k\/(k**(-4)\/k*k)*k))\/k)*k\/(k\/(k\/(k*k**(-13)\/k)))*k*k)**(-10) assuming k is positive.\nAnswer: k**(-12190\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u + 0 = 3*p + 72*u - 147*u - 16, 28 = 2*p - 5*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -27*z**4 + 8*z**2 + 26*z + 8. Let n(v) = -18*v**4 + 5*v**2 + 17*v + 5. Let w(h) = 5*m(h) - 8*n(h). Find the second derivative of w(c) wrt c.\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/12 + w**2 - w. Let r be h(0). Let f be r\/3*1\/2. Which is the smallest value? (a) -5 (b) f (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-693933.77.\nAnswer: -1387867.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/42 - 163*c**4\/4 - 1220*c**3\/3 + 710*c + 1. What is the second derivative of p(f) wrt f?\nAnswer: 20*f**3 - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 23*q - 36. Calculate g(-21).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 140. Let h = 9887.26141 - 9841.261. Let k = q + h. What is k rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 887622.\nAnswer: -1\/887622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -134301204 (base 5) in base 11?\nAnswer: -436786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8107292 to 1 dp.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-18) + -11 + (33 - -10864*(-1)\/468)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*g + 3*g. Suppose -3*c = -j + g, 0 = 3*c - 3 - 0. What is the highest common factor of 99 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261758 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15)*9\/6*(6800\/51)\/(-16).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-14)\/3. Let r(v) = -5 - 41*v**2 + 8*v + 40*v**2 - 1. Let q be r(p). Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1551*m**2 - 1553*m**2 + 4655*m**2 - 1552*m**2 - 316 to i*m + r + b*m**2 and give r.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:07 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let g = 0.3 - x. Which is the third smallest value? (a) g (b) 1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let y(n) be the third derivative of -n**5\/10 + n**2. Determine y(s(v)).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 2, -2, 12, 2\/15, -1821, 2\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - c**3 - 4*c**3 - 4*c**3 - 3*c**3 + 5*c**3 + (-c + 0 + 0)*(2 - 2 + c**2) + c + c**3 - c)*(2*c - 4 + 4)*(3*c + c - 2*c).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 190667 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eieeinieeeyeninyi. What is prob of picking 2 i and 1 e?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:58 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3317101 to the power of 1\/2, to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 40*d + 87 - 271 = -26*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -16, -12, -6, 2?\n\"Answer: q**2 - q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 447\/(-6) + 1\/2. Let p = a + 166. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 - 2*h + 2. Let i(f) = 26*f**2 - 5*f + 6. Suppose 4*y + 11 - 55 = 0. Let p(v) = y*s(v) - 4*i(v). Give p(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/54 and -29\/1440.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 60 = -14*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:49 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m + 2*l, 5*l + 12 = m - 4. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519684223 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189434 greater than or equal to 189556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, t: 2}. What is prob of picking 1 t and 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305547037?\nAnswer: 19, 16081423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 8*r - 32 + (-2*r + r - r)*(0 - 4 + 3)*(-2 + 1 + 0) + (-3 + 1 + 1)*(-r + 3 - 3).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and -7 - (-3*(-8)\/84 - (-111060)\/(-42)).\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6815 = -5*b, -23*b = 5*c - 26*b + 11415. Let n = -3\/673 + -3135501\/1346. Let j = n - c. Is -50 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -18. Let y(i) = 10*i - 2. Let u be y(3). Suppose 2*n + x*n = -m + u, -5*m = 3*n - 28. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124370?\nAnswer: 2, 5, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:59 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1025 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 1. Let n(h) = 10*h**2 - 4*h - 4. Let z(i) = -9*i**2 + 4*i + 5. Let t(w) = -4*n(w) - 5*z(w). Calculate t(b) - 6*x(b).\nAnswer: -b**2 - 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 - -257. Put t, 4, -59, 1 in descending order.\nAnswer: 4, t, 1, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -243, -560, -1015, -1614, -2363, -3268?\n\"Answer: -q**3 - 60*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.1 less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tstrhihthtiii. What is prob of picking 1 h and 1 i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = 108. What is the lowest common multiple of n and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 0.2, 0.1, -498\/5, -2\/3 in ascending order.\nAnswer: -498\/5, -3, -2\/3, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044150 rounded to the nearest one thousand?\nAnswer: 2044000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 6) to base 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -8) + (10 - 9 - (1 - -26))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9435 minus 826?\nAnswer: -829.9435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from vzgqbqbvqbb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4599961 - 0.46. What is b rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g - 15. Let s = -2 - g. Is (10*2)\/(1\/74) + s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + o)*(2*o + o - 2*o) + (5 - 3 - 3)*((3 + 2*o**2 - 3)*(-5 + 1 + 2) - o**2 - 6*o**2 + 0*o**2).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - -1) + -4 - -7) + -4 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -93*1*1680\/(-126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 7}. Give prob of sequence uh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -9747*w**5\/2 + 79156071*w**4\/2 - 80375174808*w**3 + 85973041566*w**2 - 5736341520*w + 98901600 = 0. Calculate w.\nAnswer: 2\/57, 1, 4060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/119 and -8\/11781.\nAnswer: 11781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257242*w + 1182719 wrt w?\nAnswer: -257242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6.6. Let x be (-16)\/72 + (-2)\/(-9). Which is the nearest to x? (a) 0.3 (b) n (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133.819 * 1.3\nAnswer: 173.9647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5*f + 0 + 1 - 6.\nAnswer: -5*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1058\/32015?\nAnswer: 1058\/32015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 31977909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(20*b + 11*b + 15*b)*(-221*b**3 - 225*b**3 - b**2 + 448*b**3).\nAnswer: -184*b**4 + 92*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*x**3*y**2 - 3*x**3 + x**2*y**2 - 99*y**2 - 1 wrt x.\nAnswer: -624*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -633 (base 12) in base 10?\nAnswer: -903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*j + 34 + 6 = 0, 3*j - 8 = -5*h. Let t = 773\/5 - 154. Factor -1\/5*o**h + 2\/5 + t*o**2 + o - 1\/5*o**3.\nAnswer: -(o - 2)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 1. Let x(s) = 8*s**2 - 5*s - 7. Suppose 32 - 57 = -5*p. Suppose h = -p*m + 10, 2*h + 2*m = 3*m - 13. Calculate h*n(a) + x(a).\nAnswer: 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -86 - -84 - (-3 + -1 + 1). Calculate the remainder when (-2)\/1 + (-165)\/(-3) - h is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07043 times 0.4\nAnswer: 0.028172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Let z(s) = 6*s**2 - 3*s - 3. Let b(k) = k**2 + k + 1. Let a(f) = 3*b(f) + z(f). Give u(a(l)).\nAnswer: 81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100111100111010 + 11?\nAnswer: 11110100111100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 53 = y, w + 3*y = -4*w + 87. Let z be (-15)\/10*8\/(-3). Suppose -4*r + j = -44, 3*j + 4 = z*j. What is the least common multiple of r and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20828161.652 and 5?\nAnswer: 20828166.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/706? (a) 22 (b) 1\/68 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -21, -17, -13, -9?\n\"Answer: 4*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(1197\/105))\/((-5)\/(-36))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 10\/11, 2, -0.4 in descending order.\nAnswer: 2, 10\/11, -0.4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152465889 and 4470.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1296686, -2593570, -3890454?\n\"Answer: -1296884*c + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146420138.\nAnswer: 2, 73210069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4)\/z)\/z**(3\/5))**16 assuming z is positive.\nAnswer: z**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v + 11. Calculate b(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12 - (2 - (-615)\/6). Let d = 104 + i. Does -2\/11 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19765 and 41005.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 30639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 34*i - 1. Let x be u(4). Suppose -t - x + 137 = 0. Solve t*r - 6 = 4*p, 0 = p + 2*r + r - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 60776*o + 230857636 = 0. Calculate o.\nAnswer: -7597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6181 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, -23, 34 in descending order.\nAnswer: 34, 3, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8729.685 micrometers?\nAnswer: 8729685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*l**2 + 34 - 171*l**2 - 4*l + 8*l**3 - 16 - 19 in the form g*l**3 + p*l**2 + h + i*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from {f: 11, i: 3}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 5, -2.5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 5*o**2 + 0*o - 8*o**4 + 0*o**4 + 3*o**2 in the form b + h*o**4 + f*o + r*o**2 + i*o**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 - r + 2. Let u be c(-4). Suppose -2*y = 10, 3*k + y - 13 = u*k. Let h be (18\/15)\/(k\/(-15)). Sort 5, 0, h.\nAnswer: 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 210310?\nAnswer: 210302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39732.95 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**0*g*g*g))**(-3\/4)\/(g**7\/((g**(6\/7)\/g)\/g)) assuming g is positive.\nAnswer: g**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5052654 divided by 3?\nAnswer: 1684218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*g)*(3*g - 4*g + 5*g + (-4 + 2 - 1)*(-g + 6*g + 91*g)).\nAnswer: 852*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42772254?\nAnswer: 2, 3, 7, 109, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*52.\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 152?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18333\/14548 + -37\/3637. Let 0*l + 0 - 1\/8*l**4 + 3\/8*l**3 + a*l**2 = 0. Calculate l.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*g - 30 - 150 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 = 4*v. What is the common denominator of (-118)\/(-44) + (-2)\/v and -26\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 6*b**2 + 8*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 + -51. Let l = -86.998 + w. Round l to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let x(p) = 5*p. Let s = 221 + -216. What is s*x(v) + 20*r(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-3)\/(4*135\/60)*(-59)\/(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 879*a**3 + 62841*a**2 + 207325693*a?\nAnswer: 5274*a + 125682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -17. What are the prime factors of -1 - (0 + (k - 33))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 36*s**2 - 162*s - 19*s**2 - 17*s**2 in the form f*s**3 + r*s**2 + o*s + t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 344 + 96. Suppose -q = 2*a - 7*a - 5*n, 3*a - 70 = -n. Suppose g = 3*w - 44, 0 = -2*w + 2*g + 8 + a. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z + 1. Let s(a) be the first derivative of -15*a**4\/4 + a**2 - 2*a + 310. Calculate 4*r(y) + 2*s(y).\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u - 24. Let y be r(0). What is the remainder when 4\/y*-8*54 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = -4*x, -2*x + 5*y + 25 = 3*x. Put -1, x, 3, 5 in descending order.\nAnswer: 5, 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 143*y**2 - 3*y - 20. Let l be g(7). Suppose -3*o - 2*o + 23145 = 0. Suppose 3*i - 3*s = l, -2*i = 2*s - s - o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - 3*y**4 - 3*y**4 + ((2*y**4 + 5*y - 5*y)*(-1 + 2 - 3) - 2*y + 2*y**4 + 2*y)*(0 + 0 + 2).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5\/5 - 3507*l**4\/5 + 17472*l**3\/5 - 13968*l**2\/5 = 0. What is l?\nAnswer: 0, 1, 4, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**2\/5 + 1336*o\/5 + 43956\/5 = 0?\nAnswer: -297, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.4, 5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 113*m**5\/60 + m**4\/4 + m**3\/6 - m**2 + 57. What are the prime factors of l(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvgkgevvvvgvvgev. What is prob of sequence ekg?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/56*4*4. Find the third derivative of 14*c**a - 18*c**3 + 8*c**2 + 12*c**4 + c**2 - 14*c**4 wrt c.\nAnswer: -48*c - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11995 by -5.\nAnswer: -2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 3. Let f be p(-5). Suppose f*h + 1 = 7. Find the second derivative of l - 2*l + l**h + l**3 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f**2 + 3*f + 9. Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15240579 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2079*o - 464*o**2 - 2079*o - o + o**2 + o + (0*o**2 + o**2 - 3*o**2)*(5 - 1 - 2) to d + u*o**2 + y*o and give u.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 5*p + 3. Let q be z(3). Let n be (-6*(-18)\/60)\/(1\/q). Are -4 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 63173153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*2*-4. Let q be (-4)\/((-5)\/(15\/6)). Find i, given that -2*i**4 + 0*i**j + q*i**3 - 3*i + 2*i**2 + i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (8 - 690\/105)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20919 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 215*k**3 - 2880*k**2 - 11340*k = 0. Calculate k.\nAnswer: -18, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1100 and 27\/22.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 27*c + 16. Let l be p(13). Solve -l = -11*s + 14*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-6\/7)))\/(s\/s**(4\/5)))\/((s\/((s*s\/((((s\/(s\/(s*s*s*s**(1\/7))*s*s*s*s))\/s*s)\/s)\/s))\/s))\/s)**(2\/9))**25 assuming s is positive.\nAnswer: s**(265\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let o = 36 - 34. Suppose -5*x + 966 = g - 742, 678 = o*x + 3*g. Let t(n) = 342*n - x*n - 13*n**2 - 8*n**2. Give j(t(c)).\nAnswer: 882*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -406 + 234. Let x = 161.1 + n. What is x rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 2*g, 5*x + 3*g = -459. Let s = x + 132. What is the derivative of -2*y + 4*y + 9*y + s wrt y?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-4*1\/2. Let q = 1.14 - 7.04. Let p = q - -6. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-10) - -6)*10\/4. Let k(s) = 14*s**2 - 2*s + 12. What is the hundreds digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374595847 - -401.8?\nAnswer: 374596248.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -125. Let z be -3 + w\/((-15)\/39). What is the second biggest value in -4, z, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*c - 26*c - 39*c + 134*c + 2 - 27*c + 2*c**2 to the form k + z*c**2 + g*c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 61. Let r = -6 - -6. What is the nearest to r in -1\/3, t, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 239714*v + 17019679. What is r(-71)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 280 + 63 = 0. What is the greatest common divisor of 217 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2906, -1\/3, -0.1, 61?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 51850370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(21\/6 - 3). Let i(d) = -13*d + 1. Determine i(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 - -4. Let m = 0.3 - h. Suppose 4*v - 2*s + 20 = 2*s, 0 = -3*v - 5*s + 1. Which is the nearest to -1\/4? (a) 1\/8 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/5 + 313*i**4 - 815886*i**3\/5 + 141419196*i**2\/5 + 142236648*i\/5.\nAnswer: -i*(i - 522)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 17*k**2 - 21*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 6*v + 1. Let h be s(6). Suppose -9*r + 53 = -10. What is the lowest common multiple of -2 - (h - 1 - 6) and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, i: 2}. What is prob of sequence iit?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - v + 7*v)*(7*v - 5*v + 5*v) + (-2*v + 5*v - 4*v)*(-6*v + 2*v + 2*v) + (1 + 4 - 3)*(-2*v**2 + 4*v**2 - v**2).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1719982*n**2*w + 268*n*w - 8*n - w - 171 wrt n?\nAnswer: 3439964*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -4, -0.12, 0.1, 0.5, -14\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 1\/3*t**3 + 0 + 5*t + 0*t**2. Let n(q) = 15*q. Calculate n(h(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - i + 16, -240*x + 710*x - 58 = 236*x + 238*x - 5*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, w: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19034, 23266, 27498?\n\"Answer: 4232*v + 14802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 21*b + 23*b - 26*b**2 + 55*b**2 + 51*b**2 - 6*b**2.\nAnswer: 74*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 8*j - 1092 = 4*a, j - 281 = -3*a. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 1, -10, 2.\nAnswer: -10, -5, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(605)*-1 + 3 + 1 + -6*(sqrt(245) + sqrt(5))*3)**2.\nAnswer: -888*sqrt(5) + 61621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32487?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242 + 41134?\nAnswer: 34342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3082 + 1036 - 44*i**2 + 2048.\nAnswer: -44*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/5)*t**(-1\/4)*t*t**(8\/9)\/t*t**(-14))**(2\/39) assuming t is positive.\nAnswer: t**(-2621\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -856686, -3426785, -7710284, -13707183, -21417482, -30841181?\n\"Answer: -856700*k**2 + k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30708.00224 + -30712. Let v = 3 - 7. Let y = q - v. What is y rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**8\/6720 - 17*n**5\/60 + 8*n**2 + 2*n. Let u(x) be the third derivative of g(x). Let t(k) = -3*k + 2. Determine t(u(p)).\nAnswer: -9*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 2. Let i be (6 - ((-16)\/(-8) + 7))*1. Determine h(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 654\/(-8284)*560\/(-24)*-19?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 934\/8 - (-15)\/60 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1214 = 4*d + 122, -2*r + 668 = -3*d. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32281586 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/75905 and 48\/1145.\nAnswer: 17382245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64724372?\nAnswer: 2, 17, 951829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 4, -4\/5, -48?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let p(b) = -68143 + 34077 + 34066 - 767*b. What is p(v(q))?\nAnswer: 767*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w - 11. Give h(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p - 2*r, -3*p - r - r = -14. Let i(t) = 3*t**3 - 4*t**2 - t + 3. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3871156322.\nAnswer: 2, 11, 175961651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*6)\/(3\/2). Let j(w) = 4 - 5 + 2 - w**2 + 3*w + 4*w. Is 5 a factor of j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let o be k(3). Let w be -6*((-4)\/o + 0). Suppose 0 = -w*b - 81 + 5. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 32. Suppose 0 = 4*u + 28 + 44. Let c = u + m. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.253 rounded to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:16 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c\/(c\/(c*c*c**(1\/3)*c)))\/c))\/(c**(2\/9)\/c)*(c\/(c*c**(-1)))**(4\/31) assuming c is positive.\nAnswer: c**(-398\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4662 divided by -4662.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(378\/(-45)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 3}. Give prob of picking 3 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8740, 34974, 78704, 139930, 218652?\nAnswer: 314870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(5) + -5)**2.\nAnswer: -70 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31250831251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + 2 + (-2 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + -2)*-2 + -5 + -1.\nAnswer: -16*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-56) + (-10)\/8. Put 3, s, 4, 2 in descending order.\nAnswer: 4, 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4940)\/8)\/65*-2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 - 2*u**2 - 143 + 661.\nAnswer: -2*u**2 + 709","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, s: 2}. What is prob of sequence sj?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 11*x + 14477 = 0. Let c = 470 - x. Solve 2*l - 4*b + 2 = 12, -4*b = c*l + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565 - 567.272. Let k = 2.6 - 5. Let q = t - k. Round q to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1034?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1433*x**3 + 5*x**2 - 15*x - 38. Let c(d) = -2150*d**3 - 8*d**2 + 24*d + 60. What is 5*c(q) + 8*t(q)?\nAnswer: 714*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 992 and 496?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + 12. Let t = 179 - h. Let z = -57 + t. Which is the closest to -0.2? (a) 0.2 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 12*r**2 - 3*r - 7. Let c(x) = -2*x**3 - 6*x**2 + 2*x + 3. Let t(k) = 5*c(k) + 3*o(k). Let g be t(6). Solve g = 3*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b**5\/7 - 58*b**4\/7 + 62*b**3\/7 - 12*b**2\/7 = 0. Calculate b.\nAnswer: 0, 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4332574*f**2 + 9646811*f wrt f.\nAnswer: -8665148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 14*i**2 - 16*i - 14. Calculate v(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055592 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902 is divided by 149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397.3 - -388. Let c = 1 - -8. Let k = c + i. What is the closest to 1 in -1, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2120000202112001?\nAnswer: -2120000202112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66864921 to the power of 1\/2, to the nearest integer?\nAnswer: 8177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f**3 + 4*f**2 - 11*f. Suppose 8*g + 12 = 10*g. Let u(x) = -5*x**3 + 2*x**2 - 6*x. Give g*h(y) - 11*u(y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139\/875 - -2\/125. What is the nearest to 0.1 in -0.4, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:56 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 356*k + 2699. Give a(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5315 (b) -5 (c) 1\/17 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6402 and 938863?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2589 - 6 - 4*l**2 + 0*l**2 + 2*l**2 + 5797 in the form i + v*l + o*l**2 and give i.\nAnswer: 8380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4928*l + 81. Let t(h) = -2464*h + 32. Give 2*a(o) - 5*t(o).\nAnswer: 2464*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -23d3c?\nAnswer: -23d3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/6 and -43\/844.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 2*h**3\/3 + 3*h**2 - 13*h - 222. Suppose 2*o - 3*x = o - 3, 5*x = 15. Is a(o) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(220) - (sqrt(220) - sqrt(220)*4))\/sqrt(10))\/(sqrt(200) - sqrt(200)*-3 - sqrt(2)) + 0.\nAnswer: 4*sqrt(11)\/39 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -2 - -3) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 190*c - 4*c**4 + 201*c - 2*c**2 - 3 - 3*c**3 - 390*c as q*c**3 + h*c + f*c**4 + p + w*c**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-167846)\/(-140) + -5 + (-3)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5196585 divided by 1?\nAnswer: -5196585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:28 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/1)\/(3\/34098*-2). Suppose -3*f - 155832 = 4*p - 39242, -87445 = 3*p + f. Let i = c - p. Round i to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8152794 millilitres in litres?\nAnswer: 0.0008152794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20792301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.143 and 8.5.\nAnswer: -1.2155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -90, 0, 35, 3 in ascending order.\nAnswer: -90, -2, 0, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**3 + 4*r - 1. Let f(n) = 9*n**3 + 9*n - 2. Determine 5*c(q) - 2*f(q).\nAnswer: 2*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3e (base 15) to base 11\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10593, -17781, -24969?\n\"Answer: -7188*x - 3405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(2*m + 761 - 761)*(2*m**2 + 0*m**3 + m**3 + 3*m**3) to the form s*m**4 + q*m**3 + a*m**2 + j + x*m and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let t(h) be the second derivative of 0 + 0*h**2 - 4\/3*h**3 + 41*h. Calculate t(n(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -3611\/2 + 1806. Put 3\/2, a, -79 in increasing order.\nAnswer: -79, a, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 165210.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 6, e: 2}. Give prob of picking 2 c and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -3, -19, 0 in ascending order.\nAnswer: -19, -4, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23126123 (base 7) in base 2?\nAnswer: 111101110000101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from {i: 4, q: 1, v: 1, a: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2674 + 3629. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36977234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + d**5 - 4*d**5 + 0*d**5 + 2*d**5 + (5*d - 2*d - d)*(0 - d**4 + 0) + (-9*d**4 + 317*d - 317*d)*(2*d + 0*d - d).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 3*b**2 - 109*b + 29403 - 485*b + 0*b**2 + 2*b**2.\nAnswer: 3*(b - 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1160*c**2*g**3*t - 2*c**2*g*t - 3*c*g*t**2 + 4*c + g**4*t**2 - 10*g**3*t + 1036*g**2*t - 2*g**2 wrt g?\nAnswer: 6960*c**2*t + 24*g*t**2 - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c**3 - 15*c**3 + 4*c**4)*(4*c - c - 5*c) - 8*c**4 + 10*c**4 - c**5 - 6*c**5.\nAnswer: -15*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -c + 4*a, 75*a - 72*a - 255 = 27*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 12}. What is prob of picking 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20.00067. Round q to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 5 + 13*o - 15*o - 2*o**2.\nAnswer: -2*o**2 - 14*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + 8. Let d(c) = 6*c + 6 - 3 - 2*c**2 - c. Give d(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -2*g - 56. Suppose -22*n = -g*n + 342. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 3*c - 2*q - 177, 2*c = 4*q + 40 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 5. Let v be l(10). Suppose 7*q = v*q. Suppose -2*g + 62 = -q*g + 4*s, 0 = 3*g + s - 93. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/14 - 16*o**3\/21 + 221*o**2\/7 + 456*o\/7 - 3522. Factor u(v).\nAnswer: -2*(v - 12)*(v + 1)*(v + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165713 is divided by 1219?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2897550)\/(-137137) - 2\/14 - 21?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/3 and 151\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12644027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 1. Let d(f) = -7 + f**3 + 3 + 3 - 3*f**2. Determine -d(v) + 3*x(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 699.9349kg?\nAnswer: 699934900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 60772?\nAnswer: -60772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*k + 53, 5*j + 30 = -0*j - k + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*m = -3, m = -4*n + 2730 - 2725 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 14*a + 728. What is the greatest common factor of 156 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 plus 2671?\nAnswer: 2671.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708373 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g. Let f(l) = -520*l**2. What is f(o(i))?\nAnswer: -62920*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.16 * 312\nAnswer: -673.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1035*x - 525*x - 511*x + 310 in the form p*x + l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 1\/5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -3552.62?\nAnswer: 3552.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3337 + 10600 = 7*h. Suppose 259*b - h = 248*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 0, 1\/909, -2\/7, -5, -2\/17?\nAnswer: 1\/909","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9972 - -9971.7. Let i(d) = -d**3 + 4*d**2 + 6*d - 2. Let n be i(5). What is the biggest value in j, -5, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/(-364)*52\/(-6). Let q = -3 - -5. Solve -10 - 6 = 2*k - q*g, g + 1 = -a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2c8 (base 16) to base 8\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2311568 and -37\/1547925?\nAnswer: 173367600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 5. Let i be q(-5). Let r be -12 - (i - 6\/(-3)). Let z = 19 + r. Solve z*k + 3*x = 19, -2*x - 3*x = 2*k - 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-716)\/(-12) + (-2)\/(-6)*1. Let n be 430\/i - 2\/12. Let j(f) = -9*f**3 + 18*f**3 - n*f - 10*f**3 + 7*f**2. Determine j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320\/(-396)*5\/(-20)*-6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 10*a**2 - 11*a + 13. Let s be b(-7). Let p = s - 271. What is the highest common divisor of p and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3553367, -0.5, -16, 0 in decreasing order.\nAnswer: 0, -0.5, -16, -3553367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/3, -2\/11, 3, -2, -13\/2, -6\/11, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92613877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 106699 - 106699 + 5*z + 18*z**2 as t*z + y + s*z**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 1\/3*w**3 + 0 - 18*w**2 - 1\/8*w**4 - 2\/15*w**5 + 0*w. Determine b(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4226 divided by -6\nAnswer: -2113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/2)*d)\/d**(1\/7) assuming d is positive.\nAnswer: d**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200723 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6254*y - 1150*y + 3103*y + 319*y.\nAnswer: 8526*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 51.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 520529462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 - 10*b - 3. Is j(-7) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 43 - 38*l + 47 - 84. List the prime factors of b(-4).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200110 (base 3) in base 7?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12092 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -863.83 - -863. Let q = -27.13 - -38.96. Let y = q + c. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -50261 = -50260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = 2*w - 2, 0 = -h + 5*w + 3. Let s(u) = u**2 + 3*u. Let z be s(-4). Let f = 0.9 - 1. What is the closest to f in -0.2, h, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/7)*i**(1\/2)\/i*i)**(3\/4)\/((i\/i**(-1\/2))\/((i*i**(-2\/7))\/i)*i**0*(i\/(i**(6\/5)*i))\/i) assuming i is positive.\nAnswer: i**(461\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.015 + -33.985. Let v = 33.9 + l. Let r = 0 - 0.02. What is the third biggest value in r, v, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 4*s + 2*x = -13, -12 = 5*s + 3*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = -21*g - 6325. Let q be (-261)\/(-1) + 1*2. Let m = g + q. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 26 = -34 + 8. Sort 4, -2, -8, f in decreasing order.\nAnswer: 4, f, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 87.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4.951915.\nAnswer: 24.759575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 240 = 2*u. Suppose -2*b + u = 2*g, -g - 64 = -3*b - 5*g. Calculate the remainder when 60 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320237889 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.58 - 67.42. Let g = p + 66. Sort 0, g, -6.\nAnswer: -6, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -832408 by 4.\nAnswer: -208102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(21\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 2.129767.\nAnswer: 78.801379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 5)*(2*f + 2*f - 2*f + (1 - 1 - 3)*(f - f + 4*f + (4*f - 2*f - 4*f)*(-4 + 0 + 2) + 0 + 0 + 2*f)).\nAnswer: 224*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 207130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (283 - 148) + -31 + -11?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2683368 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:08 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/7)\/(d*d*d**(-20)) assuming d is positive.\nAnswer: d**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d - 62c?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -2\/3 (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + -21 + 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -3*o**5\/20 + o**3\/2 + 2*o**2 - o. What are the prime factors of c(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3714.82295167 - -5.\nAnswer: -3709.82295167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - 4*i)*(-2 - 2 + 2)*(4 + 14 - 6).\nAnswer: 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - h = -64, 2*l - 3*l - 4*h = -76. Is 15 a factor of (l - -2)*(-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3708979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -87. Let v = p + -49. Suppose -37 = -3*i + 41. What is the greatest common factor of v and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -614 - -5524\/9. What is the third biggest value in -0.5, 0.2, l, -2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmx when three letters picked without replacement from {m: 3, o: 3, x: 1, j: 2, l: 2, g: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514961 is divided by 1514522.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.0674 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(4\/11))\/(s\/((s*s*s\/s**(-16))\/s*s)) assuming s is positive.\nAnswer: s**(205\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 8:54 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 - 1\/2*l**2 - 5\/2*l = 0. What is l?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*m + f, 3*m + 170*f + 4 = 174*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 + 6066468*x**4 - 1814*x**2 - 2*x - 67 wrt x.\nAnswer: 240*x**3 + 145595232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-2) - 2)*1. Let c(a) = a - 1. Let m be c(3). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 18*x**3 + x**2 + 16*x - 16. Let v be t(1). Suppose -5*p**2 + p - 4*p + 14*p + v*p - 5*p**3 = 0. Calculate p.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 20334\/4183?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -44) + (-253 - -204)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*s = -2*y + 155, 3*s + 27 = -y. Let f = 42 + y. Calculate the greatest common divisor of 30 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose -18 - 21 = -r*p. Sort p, 0, 2.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13739 or -13740?\nAnswer: -13739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.052 - 61. Let u = -4.948 - o. What is the third smallest value in 3, 0.6, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 140\/(-440) + 1\/2. Which is the biggest value? (a) 4.8 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and -15*(-5)\/(3 + 2)?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28987)\/(-6) - 1\/(-6)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3024 and 6027?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.9 - -27. Let p = -0.9 + z. Let a = 0.1 + -0.1. What is the third biggest value in p, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m*s**4 - 12*m*s + 16*s**4 - 3*s**2 + 2*s wrt s.\nAnswer: -72*m*s + 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*z - 4. Suppose z*h - 8*h - 300000 = 0. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3213 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 4. Let a(i) = 53 - 34 + i**3 - 20. Let t be 4\/(-14) - 10\/14. Determine t*p(x) - 4*a(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:57 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 44*w**2 + 40*w - 35. Let t be c(-21). Suppose -t*i = 6*i - 10933. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8680684.\nAnswer: 2, 41, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - 79806544.\nAnswer: -79806481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.728 - -179.828. Let p = -177 + m. Which is the closest to p? (a) -0.4 (b) 0.5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q. Let g(t) = -t**3 + 10*t**2 - 46*t + 242. Let w be g(8). Determine l(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times 2600122\nAnswer: -4940231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1596?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39333390 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:19 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1166906 and 27898?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*b - 42*b - 3*l + 53, 2*b - 3*l = -56 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2a534e (base 15) to base 6\nAnswer: 111440332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.522 + -3.819. Round m to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*x - 44*x - 62*x)*(-17*x**2 + 28*x**2 - 18*x**2) to q + y*x + t*x**2 + z*x**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:35 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 29*b + 1309. What is l(-43)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297034?\nAnswer: 2, 3, 37, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 5 (c) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -488880.16 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3344 and 27\/4939.\nAnswer: 1501456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 818040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.358631 micrometers to centimeters.\nAnswer: 0.0000358631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18106766387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1915659958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = -m, 2*j + j - 24 = -3*m. Let h(y) = 6*y**2 - 24*y**3 + 33*y + 35*y**2 - 8*y**2. Let l(r) = 3*r**3 - 4*r**2 - 4*r. Give m*h(w) + 33*l(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1766)\/14 + (-54)\/63. Let a = 145 + k. Suppose -5*c + 18 = -2*r + 69, -2*r + 42 = -2*c. Calculate the lowest common multiple of r and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w + 3*o = -47, 36*w - 16*w - 13*o + 15*o + 17 = 17*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6332174 and 2009038.\nAnswer: 4358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -400.9 - -277.2. Let f = m + 114. Let b = f + 10.1. What is the closest to 1 in b, 0, -0.06?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 0*m**3 + m**3 + (3*m**2 + m**2 - 3*m**2)*(-3*m - m + 2*m) + 2*m**2 - 2*m**2 - m**3 + 2*m**3 + 3*m**3 - 3*m**3 - 6 + 5 + 5 - 2*m**3.\nAnswer: -m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h + 2 - 6*h + h**2 + 0*h**2 + 18*h. What is the units digit of t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 6*3\/6. Let w be (-2)\/1 - (-4)\/b. Let g(j) = -j + 9. What is the remainder when g(w) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, g: 5}. What is prob of picking 2 g and 2 v?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36801644 to the power of 1\/2, to the nearest integer?\nAnswer: 6066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Let l = -1\/71 + -1202\/355. Find the common denominator of l and (-4)\/(-22)*(v - 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose 6*v - 2*v = 0. Let h = v - -8. Solve 2*r + g = w, 3*g - h = 5*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(10\/4)\/(-5). Let p(f) = 5*f**2 - 7 + 6*f**3 - 4*f - f**3 - 4*f**3. Is p(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3031724 and 19\/15158620?\nAnswer: 15158620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -4, 7, -36572 in ascending order.\nAnswer: -36572, -4, 7, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.98 - 2.08. Let s = c - 8.6. Let j = -677\/78 - -53\/6. What is the second biggest value in j, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:02 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o - 10153*o**2 + 10152*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41.208 (b) 1\/3 (c) -4 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2343445 and -61\/52.\nAnswer: 9373780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccddcv. Give prob of picking 1 v, 1 c, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 4*l - 3*l + (-4*l + l + 4*l)*(-6 + 2 - 11) - 1 + l + 1 + (2 - 2 - 1)*(-2*l - l + l) - l - 2*l + 4*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28444 - 46?\nAnswer: 28387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(275) + 0)*-3.\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 4 = -14*s. Suppose s*l + 4*v - 56 = 0, -3*l = l - 2*v - 62. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k + 7. Suppose 4 = -2*w, 2*c + 2*c - 3*w - 22 = 0. Let i be t(c). Let z = -49 + i. What is the highest common factor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.074 + 1.474. Put -6, 3\/8, -0.3, t in descending order.\nAnswer: t, 3\/8, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7272\/11 - -1541697\/2332. Let o be ((-422)\/477)\/((-920)\/(-75)). Let h = o + b. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/5873 + 23486\/17619. What is b in -14\/3*b**2 + 0 - a*b = 0?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1149912105 rounded to 4 decimal places?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1197 - 1187. Let r(g) = -g**2 + 11*g - 15. Give r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (-64)\/(-18))\/(6\/(-9)). Let j(f) be the first derivative of 5\/4*f**4 + 0*f + 0*f**2 - h*f**3 + 3. What is the third derivative of j(p) wrt p?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -630 divided by 42\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.03 - -39.57. What is x rounded to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -17*i + 350. Solve 5*r = -a + i, -5*a + 17 = -4*r - 0*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312327 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222 (base 5) to base 14.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2673 = -o, -4*o - 32*f = -35*f - 10686. Is 26 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/((-504)\/(-28)))\/(2\/(-14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 7*q**2 - 15*q + 32. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600 bigger than 18190\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 26 = -s, -28*p + 5 = s - 25*p. Suppose 4*q - 16 = -4*o, -2*q = 4*o + 4 - s. Calculate the smallest common multiple of o and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132957310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 2*y - 1\/6*y**3 + 0 + 87*y**2 - 1\/120*y**6 + 1\/12*y**4 + 7\/60*y**5. Suppose 0 = -2*k - 3 + 17. Determine m(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 4*f - 9. Calculate the remainder when ((-2)\/(-3))\/(3\/927) is divided by q(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvyg when four letters picked without replacement from {v: 1, g: 2, y: 4, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088239 divided by -2?\nAnswer: 2088239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9078655702 to the power of 1\/2, to the nearest integer?\nAnswer: 95282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(208) + 0 + sqrt(208)) + sqrt(208) + 2 + 1*sqrt(208))**2*-1*5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 1. Let s(g) = -3*g - 7. Let u(j) = n(j) + s(j). Give u(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 5*d, 5*x - 6*d - 40 = -d. Let j be 2 - 16\/x - (-58)\/3. Suppose 21*k - j*k - 15 = 0. What is the greatest common divisor of k and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 14) to base 8\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Suppose 19\/4*v**4 + 0 - 15\/4*v**3 - 7\/4*v**b + 1\/4*v**2 + 1\/2*v = 0. Calculate v.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -946, -942, -938, -934?\n\"Answer: 4*o - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = -27*u + 137*u + 344 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:49 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 7, 11, 1\/2, 0.1, 6\/17 in ascending order.\nAnswer: 0.1, 6\/17, 1\/2, 4\/7, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 2, s: 2, k: 2, o: 1, q: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/5352 and -53\/102408.\nAnswer: 22836984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 4*i**2 - 7*i**3 + i**2)*(-6 - 20 + 10).\nAnswer: 112*i**3 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3322729692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(57) - (-2*sqrt(570))\/sqrt(10))\/sqrt(3) - (2 + 4 + sqrt(57)\/sqrt(3)))**2 + -3)*-2.\nAnswer: -872 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 34. Let w(u) = 96528*u. Give w(r(c)).\nAnswer: 193056*c + 3281952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m - 11. Suppose -303 = -5*h - 5*v + 92, 162 = 2*h - 2*v. What is the remainder when h is divided by a(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*v - 362. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021 divided by -2?\nAnswer: 2021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w - 750 = -59*w - 60*w. What is the greatest common factor of 90 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6*(-44 + 2). Let i be (x\/(-9))\/((-1)\/3). Let c be (0\/1 - i) + -2. What is the second smallest value in c, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00429556 rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l**3 + 52*l**3 + 4*l - 51*l**3.\nAnswer: -61*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 57\/5 of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + 3. What is the smallest common multiple of g and 27?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a3548 (base 13) to base 4\nAnswer: 11113200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-182)\/8)\/((-2)\/8*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + v = 999773, -2*n + 195504 - 695363 = 5*v. Suppose 4*z + 95734 = 515966. Let u = n - z. Round u to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -5, 47, 0.2?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (76\/(-2302))\/((-1)\/954997). Let u = d - 31529. Let c = 106987\/9208 + u. Calculate the common denominator of c and -67\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnsdgndhnsnhngddd. Give prob of sequence dgdd.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004234 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 25) + (20 - 38)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g - 2*g + g**2 + 3*g - 39. Let i be f(-6). Suppose 0 = t - 58 + i. What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33300103 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 8*g - 2. Let j be m(10). Let v = 10 + j. Let p be ((-3)\/(-2))\/((-6)\/v). Solve p*l + 6 = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244 - 16051441?\nAnswer: -16051705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 23308 - 20072. Suppose -f = -6*q - 4482. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(190)\/(sqrt(50)\/sqrt(5)).\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 69.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32131132100 + -3?\nAnswer: 32131132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 58. Let w = h + -18. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:16 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1)\/(-2)*-2. Suppose 5*m - 75 = -4*n, 2*n - 4*m = k*n - 42. Let g be 39\/n + (-2)\/(-5). Solve g*i - 1 = -2*z, 0 = -2*z + 5*i + 8 + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 7*s - 4. Let m(j) = -5*j + 7. Let w(r) = -r + 1. Let n(t) = m(t) - w(t). Let x be n(3). Determine z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-18) - 2) + 3082\/(-69)*5\/(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 13, -1, -2, -5 in increasing order.\nAnswer: -5, -2, -1, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhhn when four letters picked without replacement from lhllnnllllnhnnnn?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*h - 1098 + 13*h**2 + 2198 - 1100 in the form d*h + f*h**2 + x and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10970)\/(-15))\/((-5)\/(-30)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 1 = -3*r. Let t(q) = 4*q - 1. Let m(y) be the second derivative of 3*y**3\/2 - 3*y**2\/2 + 2*y. Calculate r*t(x) - 3*m(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/27))\/c)**(-6\/7) assuming c is positive.\nAnswer: c**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -8. Let f be c*(-3)\/6 - 11\/7. What is the closest to -18\/11 in f, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0, -3, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 88400*d = 0 for d.\nAnswer: -17680, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z**6*z**(-2\/3)\/z**(-1\/4))\/(((z**(-3\/7)*z)\/(z**3\/z))\/(z**(-1))**(-24)) assuming z is positive.\nAnswer: z**(2689\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22994585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 64. Sort 5, -2, s, 4 in increasing order.\nAnswer: s, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/3)\/y*y)\/y)**(-1\/34)*(y*y**0)**(-35\/4))\/((y**4\/y)\/(y*(y\/(y\/y**(-2\/15)*y))\/y)*(y*y**(1\/5))**2) assuming y is positive.\nAnswer: y**(-5193\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, c: 5, g: 1, s: 3}. Give prob of picking 1 c, 1 g, and 2 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12979 and 3.3.\nAnswer: -0.428307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64683.35 kilometers in micrometers?\nAnswer: 64683350000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r**3 + 3*r - 3. Let k(s) = 80 - 48*s + 5830988*s**3 - 5831448*s**3 - 32*s. Calculate -3*k(t) - 80*y(t).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*p + 78*p + 137 - 1310 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/288960 and 109\/24.\nAnswer: 288960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5816970 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -816 + 0?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1496*n*t**2 + 102*n*t + 5*n wrt t.\nAnswer: 2992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22 = -6. Suppose h + 5*n = 10, 10 = 5*n - 5. Let r = h + 8. Which is the third biggest value? (a) s (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(704) + -1)*-4*-5 + -5 + -2 + sqrt(704) + (sqrt(704) - 1*-1*sqrt(704)) + -1)**2.\nAnswer: -177984*sqrt(11) + 7480400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 0)\/((-3)\/(-13)). Suppose 5*c - p*c + 96 = 0. Let u(i) = 4*i - i - 4*i + c - 9. Determine u(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -73*d + 2. Let f(i) = -9*i**2. Give l(f(m)).\nAnswer: 657*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (0 - -9) - (0 + -69)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -922080*v**3 + 1360*v**2 + 340*v - 1020. Let f(i) = 8160*i**3 - 12*i**2 - 3*i + 9. Calculate 340*f(o) + 3*w(o).\nAnswer: 8160*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, v: 3}. Give prob of picking 1 v and 1 e.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5183*u - 2449*u + 3841*u + 3828*u.\nAnswer: 37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43850299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22676*a + 41114*a - 21776*a.\nAnswer: -3338*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**2 - 14*j**2 + 48*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -1 (c) -3 (d) -0.1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163321 rounded to the nearest ten thousand?\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3662 = -822. Suppose 3*f - 3359 = 4*n, 4*n + p = -f + 3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(1640\/1968*1\/(-4))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - s + 2*s + (3*s + 0*s - 5*s)*(1 + 0 + 0) - s - 2*s + s + 0 - s + 0 + 3*s + 2*s - 4*s + 2 - 4*s - 2.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21155 (base 6) in base 11?\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481561 and 66299?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/2890 and 5\/504.\nAnswer: 728280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 15. Let z be g(-16). Let v be 5*z*(-5384)\/20. Let f = v + -723. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 855.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-108)\/30 - (-6)\/(-15). Which is the smallest value? (a) i (b) 2\/9 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -68*i + 31 - 36*i + 12*i - 22. Let m = -15 - -33. What is the remainder when f(-3) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, r: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 57898295 = 254578295. What is o rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66286 by 15.\nAnswer: -66286\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7453, 5584, 3715?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 + -20110?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003722 to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1466, 0, 30, -2 in ascending order.\nAnswer: -2, 0, 30, 1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257092 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m - 93*m + 170*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905408069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*v - 31, 0 = -3*v - 2*v + 5. Let q = 86 - 72. Let b(p) = q*p - 16*p - 1 + j*p. Calculate b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/12 + 5*t**3\/6 - 3*t**2 - 3*t. Suppose -24 + 8 = 2*w. Is 6 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03827926 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -5516154266 and 0.2.\nAnswer: -5516154265.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1 + -6)*48\/(-12))\/2. Let l(f) = -2*f**3 - 4*f + 6. Let v(h) = h**3 + h - 2. Give m*v(k) + 3*l(k).\nAnswer: 4*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*v - 48 = 414*v. Let x = -0.2 + 0.3. Sort -4, v, x, -1 in ascending order.\nAnswer: -4, v, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508 - 384. Suppose -n = 49*i + 72. Put -5, i, -1 in decreasing order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**3 - 7 - 1607*b + 1607*b)*(0 - b + 0) to v*b**2 + r + z*b + p*b**3 + w*b**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10728453 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 12. Calculate d(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 2\/41, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190d (base 14) in base 12?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/(2\/(-4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 + (-4 - -7). Suppose 4*z = -l*r + 466, 3*r + 0*z = -5*z + 290. What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**2\/2 + x - 3. Let t(a) = -4*a - 5. Let w(r) = 5*d(r) + t(r). Let n(y) = -5*y. Determine n(w(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93ae4 + 5?\nAnswer: 93ae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113832*a - 8184 = -113964*a for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134 + -2)\/(-2) + (-17275 - -17257).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -124275?\nAnswer: 124280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 43615\/2275)*(-25)\/(-2).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.2. Let f = 1 + -0.5. Let l = 0.4 - f. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/24 + (-32)\/(-6). Let k(r) = 2*r**2 - 20*r + 3. Let g be k(10). Let u be (12\/(-15))\/(3\/(-15)). Solve -16 = u*q, g + 11 = 2*t - x*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 0*b**2 + 6*b**2 + 10*b**2 - 18*b**2. Let t(j) = -93*j**2 + 2. Give x(t(f)).\nAnswer: 8649*f**4 - 372*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649.335 years in decades?\nAnswer: 264.9335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1726*g - 39. List the prime factors of q(-2).\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300552 is divided by 735.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 4. Let y = -0.07 + -1.93. What is the third biggest value in -1\/5, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206714469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52991280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from ffzzffzffzffffffzf.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219.1 - -199. Let j = -3.1 - s. Let r = j - 13. Sort r, -17, -4 in decreasing order.\nAnswer: r, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(8\/(-10) - (20482\/(-5415) + 3)). Solve -3*r = 66 - a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601728658 to the power of 1\/2, to the nearest integer?\nAnswer: 51007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(3\/5)*b)\/(b*b\/(b*b**4)))\/((b*b**1)\/b)**(-5\/16))\/(b**(-2\/3)*b*b**1*(b**0)**(-24)) assuming b is positive.\nAnswer: b**(1099\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-10)\/6. Let x = -37 - -126. Suppose -4*q + 118 = y*b, 0*q + 2*b - x = -3*q. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2*-3 - (-15)\/4. Let l(g) = 2*g**2 + 5*g + 7. Let z be l(-3). What is the biggest value in 1, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 170, -268, -880, -1666?\nAnswer: -2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -243, -0.5, -0.1, -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196\/5 or 2?\nAnswer: -196\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 8. Let u be r(0). Suppose -4*p - u = -12. Solve -p = -2*m + 2*l + l, 2*m = 5*l + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59093, 59089, 59083, 59075, 59065, 59053, 59039?\n\"Answer: -f**2 - f + 59095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2930 or -647268\/221?\nAnswer: -2930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = 2*n, -9*t = -8*t + n + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -5)*(-48)\/18. Suppose -5 = 3*y + 1, 2*y - r = -5*c. Let l(p) = p**3 - 2*p**2 + 4*p - 2. List the prime factors of l(c).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101.32 + -101. Let g = p + 0.68. Which is the nearest to 1? (a) 2 (b) 0.06 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 - 1536*h**4 + 785565*h**3 - 133783650*h**2 = 0. Calculate h.\nAnswer: 0, 495, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 20*g**2 - 11*g + 17. List the prime factors of l(4).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27699 - -44454. Suppose 7*b - m = -8*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*q**4 - 18*q**4 + 11 - 7*q**4 + 7 with respect to q.\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**3 - 265*h**2 + 835*h - 690.\nAnswer: 5*(h - 23)*(h - 2)*(2*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -27*d**3 + d. Let u be r(1). Let z = -71\/2 - u. Let h = z - -9. Which is the second smallest value? (a) -3 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 - -550. Calculate the remainder when o is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28482486 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/3 + 1\/(-3). Let a = l - -9. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 109.212056.\nAnswer: -142.212056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.4859173 and -0.2?\nAnswer: 3.2859173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f*u**3 + 3*f*u**2 + 235*u**3 with respect to f.\nAnswer: 38*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 2*u + 1. Suppose -2*i + 13 = 5*j + 2, -j = 4*i + 5. Let d be p(i). Is 4 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/6 + m**2\/2 - 2*m. What is the units digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165249 is divided by 270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31903859 is divided by 65781?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, 0.01.\nAnswer: -4, 0.01, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -5.\nAnswer: -12, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4878040, -4878041, -4878042?\n\"Answer: -k - 4878039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/6*(-5)\/2. Let f = y + 15. Let k(o) = -o**3 + 5*o**2 + 5. What are the prime factors of k(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 0*f)*(-194*f + 194*f + 189*f**2) - 2*f**3 - 2*f + 2*f.\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1490184 and -51?\nAnswer: 75999384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 28 + (3 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2202120 (base 3) to base 9\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495845?\nAnswer: 5, 11, 23, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.620775 to 2 dps.\nAnswer: 12.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y + 1. Let n(f) = -29*f + 14*f**5 - 22*f**5 - 6*f**2 + 4 + 9*f**5. Let m(g) = n(g) - 3*o(g). Find the second derivative of m(u) wrt u.\nAnswer: 20*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + v + 28, -3*u - 4*v - 41 = -10 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 6*x - 4439 + 4411, -5*x + 7 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14108187.37 rounded to the nearest 1000?\nAnswer: -14108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/6 - 219\/657) + 68\/(-35)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1249 < 62407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u. Let w(j) be the first derivative of 0*j + 2\/3*j**3 + 2 + 0*j**2. Calculate l(w(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2216*d + 6660*d = 212455 - 701295 for d.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12742, 20825, 28908, 36991?\nAnswer: 45074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1.44 (b) -0.081 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z. Is -4\/3 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**4 + 263*p**2 + 79*p**2 - 331*p**2 - 33 + 3*p + 75*p**3 - 5*p wrt p?\nAnswer: 168*p + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300955600 and 660?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 16. Let k = l + -11. Suppose -2*q + k*q - 3*z = 75, 4*z - 21 = -q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*v + 192 + 272 = -112 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -528 - -533. Find the second derivative of c + 61*j + 2*j**2 - 7 - 69*j + 71*j**5 wrt j.\nAnswer: 1420*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 6 + -5 + 5 + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, -16, -654, -1548, -2698, -4104, -5766?\nAnswer: -7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.23 + 0.23. Let z = 10.00026 + j. Round z to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 801, 809, 817?\n\"Answer: 8*i + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4036466 and 2085601.\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)*c)**(-41)\/((c\/c**(-2\/71))\/c**9) assuming c is positive.\nAnswer: c**(20943\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(80))\/sqrt(5) + -2*sqrt(8)\/sqrt(4) + (sqrt(6)\/sqrt(3) + sqrt(2))*4 + (sqrt(288)*6)\/(-3*-3*sqrt(9)))**2.\nAnswer: 11449\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1365597 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20134807 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1812, 7574, 17164, 30570, 47780, 68782, 93564, 122114?\nAnswer: 154420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-78)\/(-65))\/(6\/4). Let q(w) be the first derivative of -m*w**5 + 0*w**2 + 0*w**4 + 0*w + 3 + 4\/3*w**3. What is the third derivative of q(r) wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-1)\/12). Is 2\/8 + 27\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + ((9 - -35) + -25 - 20).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -23 + 4*r - 1\/2*r**3 + 0*r**4 + 3\/140*r**5 - 9\/7*r**2. Solve l(v) = 0 for v.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04979441851 to five dps.\nAnswer: -0.04979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*z + 46, 2*z = -101*g + 96*g - 57. Sort g, -5, 29 in descending order.\nAnswer: 29, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2466 = -2467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1796 and 255032.\nAnswer: 255032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007386537 to six dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 + 1317 = 252*u - 3370 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t + r, 10*t - 5*t + 4 = r. Is 372\/6 + -4 + t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -535097857*u**3 + 1577*u - 21108.\nAnswer: -3210587142*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 24 + 4*u**2 - 10*u**2 + 5*u**2. What is the tens digit of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3940702*u**2 + 985176*u**2 + 985179*u**2 + 985173*u**2 + 985178*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 8*m - 7. Let h be (148\/16)\/1 + 2\/(-8). Let g be d(h). Suppose -3*a = g - 77. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -19*v + 63. What are the prime factors of (-2306)\/(-12) + v\/(-30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141022 (base 5) to base 9.\nAnswer: -7812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 88 + 118 - 206. Let n(m) = -63*m**2 - 1. Determine i(n(d)).\nAnswer: 19845*d**4 + 630*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*k - 4*k - k**2 + 0*k**2 to the form u + r*k**2 + f*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2250, -9, -1 in descending order.\nAnswer: 2250, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 5 + (-9 - -2) + 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*y + 247*y = -120 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 17 - -4 - -3 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -4 (b) -0.1 (c) 5744\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225 - -258) + (-495)\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -415, -382, -323, -232, -103, 70, 293?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42 and 0.0288.\nAnswer: -41.9712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*a + 26, -6 = -3*n + 4*a + 4. Solve n*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.534034673 + -0.534042073. Let w = -82 + r. Round w to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4597*s - 303447. Calculate q(-66).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8183 and 3507?\nAnswer: 24549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, e: 9}. Give prob of sequence ex.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 13. What are the prime factors of 96 - ((a - -4) + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126, -134, -142?\n\"Answer: -8*g - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446236175 and 13275.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87678874 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10184 and 15\/33098.\nAnswer: 132392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 0*i**2 + 5*i**2 + 1 + 4*i - 4*i**2 in the form w + b*i + f*i**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**3 - 1\/12*r**4 - 6*r + 0 + 5*r**2. Determine k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 22 = -5*s, -f - 50*s = -55*s + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**3 - 6*h + h + 2 + 5*h**2. Let t be m(3). Let j = 0 + t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48 (b) -2 (c) 5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + h**2 + 1. Let o be 781\/264 - (-12)\/288. Let g(j) = -3*j**3 - 5*j**2 - 3. What is o*k(v) + g(v)?\nAnswer: -6*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49018852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3366*p + 234 - 3376*p + p**2 + 6746*p - 62 to the form b*p + m + v*p**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n - 2 - 3*n + 2*n + 4*n. Let x be w(-2). Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*p - 29, 739*g - 743*g = -5*p + 43. Sort -10, -34, 0, -3, g.\nAnswer: -34, -10, g, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2 - 9*t + 4 + 5 + t**3 - 13 + 4*t**2. Calculate u(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3844, 8, 45, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from syyppyopooy?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 2, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/1769239 and -9\/11.\nAnswer: 19461629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -603280 or -19304943\/32?\nAnswer: -19304943\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 21*b**2. Let v(h) = 9*h**2. Determine t(v(x)).\nAnswer: 1701*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 32*j + 1584 = 27*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151760 and 11760.\nAnswer: 3186960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1641, -3261, -4881, -6501, -8121, -9741?\nAnswer: -11361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8821 + -18?\nAnswer: 8804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 637232076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 + 3 + 3 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(5 + sqrt(1539) + sqrt(1539)*2 + 4 + -1 + sqrt(1539) + sqrt(1539) + sqrt(1539)) + -6*(sqrt(1539) + -1 + sqrt(1539) + sqrt(1539) + 0 + -4))**2.\nAnswer: 1512*sqrt(19) + 2714795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36823)\/184115)\/((-1)\/(-480))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/30*35\/(-14). Let l = 7\/6 + y. Let z be 2\/(-3) + 16\/33. Which is the third smallest value? (a) l (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose 3*l - 2*l = s. Suppose 2*u - 2*b + 17 = 7, 4*b - 20 = -4*u. Solve u = 2*c + l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 1. Let d(q) = -3*q + 1. Let u = 6 + -5. Let t be d(u). Let x be l(t). Let a(n) = -n + 1. Give a(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -7*b**6\/660 + 3*b**5\/110 + b**4\/11 - 4*b**3\/33 - 7*b**2. Let g(a) = 0. What is a?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72460 + 7246069\/100. Calculate the common denominator of a and 37\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 47*p + p**3 - 14 + 32.\nAnswer: p**3 - 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-16587)\/970)\/171)\/((-7)\/(105\/(-12)))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Let k = -122 + 613\/5. Suppose -312*j + 319*j = 14. Put k, s, j in descending order.\nAnswer: j, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:45 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 6 + (-3 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366252 (base 10) to base 14.\nAnswer: 9768c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-298*u**3 + 107975*u**2 - 107975*u**2)*(-4*u + 7*u + 0*u) in the form w + j*u**4 + h*u + t*u**2 + o*u**3 and give j.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/20)\/((-36)\/15 - 2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1461905496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, c: 12, z: 1, o: 1, t: 3}. Give prob of sequence cco.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 152, 240, 416, 710?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 8*y - 42*y**2 + 2 + 44*y**2 to p*y**2 + a*y + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 988 and -211.4.\nAnswer: -208863.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, q: 3}. Give prob of sequence jq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/5 + 4*d**2\/5 - 42*d\/5 + 36\/5 = 0?\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599837 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:45 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, r: 2, e: 10}. Give prob of sequence em.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51776 times 0.4?\nAnswer: 20710.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174.9 + 2.1. Let d = 178 - f. Which is the nearest to 184? (a) -1\/4 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -86*z + 3252. Let g be n(37). Let k be 3*1*(-2)\/(-6). Sort g, 5, -2, k.\nAnswer: -2, k, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32820131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 264 - 240 = 0. Let o be (1 + 0)\/(2 + -3). Do o and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13 = 2*c + 76, 3*c = 3*n - 36. What is the remainder when 140 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3162*z - 32 + 825*z + 2336*z.\nAnswer: -z - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 18*j + 22. Let o be b(17). Suppose -4*q - q = -o*h - 70, 12 = -2*h - 2*q. Suppose -48*d + 47*d = 1. What is the nearest to 2\/5 in d, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*z - 2*c = 721*z + 12, 5*c + 22 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 3*a**2 - a**2)*((1 - 1 - a)*(1 + 4 + 1) - 28 - 34 + 66 - 3*a + (2 - 2 + 1)*(-2*a - 3*a + 3*a))*(-2 - 2 + 6).\nAnswer: -44*a**3 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*v = 12, -8*z + 8*z = 2*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22986884738 + 22986884738 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:14 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -85.2?\nAnswer: 80.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:17 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {z: 1, n: 2, x: 6, j: 2, i: 5, r: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -4045337?\nAnswer: -4045337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 36 = -5*i, 5*i + 0*p + 3*p = -38. Let n(u) = -u - 1. Let x(z) = z + 4. Let f(a) = -5*n(a) - x(a). Let h(m) = 13*m + 4. Determine i*f(t) + 2*h(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(-5))*i)**(-1\/29) assuming i is positive.\nAnswer: i**(3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 17*w**2 - 35*w - 19. Determine b(-15).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*o - 223*o = 1652. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3441 and -2.883194?\nAnswer: 3438.116806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 355592.6 decades?\nAnswer: 3555926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-14)\/8) + (-14484)\/(-272). Let f be (55\/33)\/(5\/m). Calculate the greatest common divisor of f and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135172570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 21 = -7*g - 3*v, -22 = -2*g + 4*v. Find the first derivative of -211*w - 212*w + 202 + 421*w + 10*w**g wrt w.\nAnswer: 30*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 plus 17580?\nAnswer: 17580.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -4*v**3\/3 - v**2\/2 + 68*v. What is the least common multiple of 30 and o(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/(30210\/399)*(-8)\/14)\/((-6)\/(-795)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97430063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(7))**2 - ((sqrt(21)*-2 + sqrt(21) + sqrt(21))\/sqrt(3))**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6631081?\nAnswer: 6631081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let l be 3 + x + -3 + 17. Solve 0 = -0*i - 3*i + l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-16\/7)\/i)*i**(-4\/15))\/(i**(1\/6))**11 assuming i is positive.\nAnswer: i**(153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59122166 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 57130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + n**2 + n**2 + (-26*n + 150*n - 13*n)*(-4*n + 5*n + 0*n).\nAnswer: 109*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 68. Determine x(-20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8683*g - 8678*g + 4 = -4*r, -g + 10 = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33335 (base 7) to base 4.\nAnswer: -2003111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*g - 8*g + 15, -5 = j. Suppose -2*z + 48 = l, -g*l - 16*z = -18*z - 232. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 - 3*c + 3. Let p(d) = -d**2 - d + 1. Let y be (-206)\/8*(0 + 0 + 4). Let s = -100 - y. What is s*p(q) - u(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.07 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 416145637\/4 + 7\/(-28). Suppose s - 15849214 = 5*y. Suppose 83237439 = 4*j + y. Round j to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.71? (a) -0.2 (b) 0.2 (c) 0.5 (d) -42 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*r - 0*r. Let p be r*3\/27*-3. Solve -4*m + 16 = 5*f, -4*f - m + 0 = -p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14361 times 0.626\nAnswer: -8989.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166961.5cm to kilometers.\nAnswer: 1.669615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9436.1 - -9436. Let s = 0.6 + -1. What is the second smallest value in l, 5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461288 divided by -4?\nAnswer: 115322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 4. Let u be q(-6). Let s = 0 + u. What is the second derivative of -3*x + 0*x**4 + 4*x + s*x**4 wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-39)\/9 - -4)\/(21\/18). Is u at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -299*l + 93. Let p be m(-8). Calculate the highest common factor of 70 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9170 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: Solve 2*o = k + 14, 0 = 4*k + 3*o - 8 + 20 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 16. Let a be n(3). Let z(p) = -3 + p - a + 32. Let i be z(-5). Solve 1 + i = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -195*s + 85*s + 55*s + 59*s. Let n(c) = c + 3. Let k be n(-2). Let h(w) = 0 + k + 7*w - 1. What is h(p(o))?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 5:54 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3365 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeooeeoooooeooe. Give prob of sequence ooee.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 5*u + 2. Let k = 7 + -2. Let c(x) = x**2 - 6*x + 2. What is k*t(l) - 4*c(l)?\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6 (b) -0.5 (c) -779\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**4 + 10*r**3 + 35*r**2 - 55*r. Let o(m) = -m**4 - m**3 - 2*m**2 + 4*m. Let l(g) = i(g) + 15*o(g). Find k such that l(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 7*p**2 + 9*p - 6. Let b be o(8). Suppose 0 = -b*k - k + 9. Solve k*f - 13 = -0*m + 2*m, 19 = -f - 4*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -20. Which is the closest to 0? (a) 2\/13 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9459123 by -3153041.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/120 and 149\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:37 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -50*o + 3720. What are the prime factors of v(-30)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 12*f - 3. Let h = 3107 + -3077. Calculate the smallest common multiple of c(-9) and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5638 and 22?\nAnswer: 62018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3725 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1712*u + 1707*u = -30, -5*u - 33 = -4*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1793 in ascending order.\nAnswer: -2, 0, 1793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 188781018.5 to the nearest 100000.\nAnswer: 188800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/(-110)*((-30)\/(-1) - 0). List the prime factors of -262*(-3)\/d*-2.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 37*b - 342. Determine c(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**6\/36 + j**4\/24 - 10. Determine c so that q(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(209)*1*6*-2)\/(sqrt(891) - 1*sqrt(891)*5)*-5)**2 + -2).\nAnswer: 457\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - o + 37 = 0, 2*z - 2*o + 9 = 25 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -6, -6\/23, -5, 119\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + s + (1 - 1 - 3)*(-s + 0*s - 4*s))*(s**4 + 2 - 2) - 4*s**4 - 2*s**5 + s**2 - s**2.\nAnswer: 12*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 65420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 12697?\nAnswer: 12699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 29*i**3 - 28*i**2 + 7*i + 7. Let m(q) = -19*q**3 + 19*q**2 - 5*q - 5. Let k(h) = 5*d(h) + 7*m(h). Find the third derivative of k(w) wrt w.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361537?\nAnswer: 11, 23, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:18 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by -30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3271, 745, 4761, 8777, 12793?\nAnswer: 16809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2 - 2*d - 1\/3*d**3 + 0*d**2. Let s(c) be the first derivative of i(c). Let g(a) = 2*a**2. Give s(g(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -576211b + 1?\nAnswer: -576211a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4667, -4598, -4399, -4004, -3347, -2362, -983?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 79 + 125 = 0. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -220201?\nAnswer: -220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 2*h**2 - h. Let d(g) be the third derivative of -g**8\/10080 + 19*g**5\/30 + 77*g**2 + 1. Let k(x) be the third derivative of d(x). Give z(k(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 + 4*m + 3. Let r be z(-1). Solve -6*g = -5*g - r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743216.\nAnswer: 2, 3, 23, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96242109 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 59. Let d = -43 - j. Let m = 11 + d. Solve 2*w = m - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 - -430. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4107 (base 8) to base 5\nAnswer: 31434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46316, -46243, -46170, -46097?\nAnswer: -46024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/35*(12\/(-9))\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/(-84))\/(29\/464).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12516 - 162706\/13. Let i be 2\/7 - (-20)\/(-21). What is the second biggest value in 5, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3809273, -3809258, -3809227, -3809174, -3809093, -3808978, -3808823, -3808622?\nAnswer: -3808369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7 + 13 = 0. What is the second derivative of 6*n + 0*n - 1 - 69*n**o - 4*n - 3*n wrt n?\nAnswer: -1380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810522 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b + 2*n, 4*b + n - 5 = 5. Suppose -5*z + 6*i - b*i - 42 = 0, 5*i + 23 = -2*z. Is -17\/2 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -39 - 1. Suppose 5 = -z, -4*z - 96 = -5*g - 11. Suppose 2*d = d + g. Calculate the remainder when d is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 9, -6, 3, -3, 6 in decreasing order.\nAnswer: 9, 6, 3, -3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 2*p + 10. Let y be o(3). Suppose 17*l - y*l = -16*l. Sort 2, l, 4, -2 in descending order.\nAnswer: 4, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 24 = 4*y, 7 = -2*y + 5*r - 2. Suppose -2*z = -2*u + 6, 6*u = y*u + 15. Suppose 4*a - 452 = 5*f, z*a - 4*f + 2*f - 226 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3588.25 + -781.575.\nAnswer: 2806.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*z**2 + 138*z**3 - 101*z**2 + (2*z + 2*z - 6*z)*(6*z**2 - 3*z**2 - 2*z**2) - 3*z**2 - 2*z**3 + 3*z**2 - 6*z**3 + 5*z**3 - z**3.\nAnswer: 132*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58425 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)\/d*d**(-9))\/(d**(2\/11)\/d)**15 assuming d is positive.\nAnswer: d**(-129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 - 105*d\/4 - 111\/2.\nAnswer: 3*(d - 37)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1426727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -20*u - 94. Suppose -3*h - u = -2*w, 0 = 5*w - 7*h + 2*h - 20. Solve -2*c + 10 - w = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - 4 - -9) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - -1)*15*(-10)\/900*5 and (-8)\/(-12) + (-14)\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10114 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2170 - 2222. Which is smaller: d or -31?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:31 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4401160 rounded to the nearest ten thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19981288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 176339 and -43183470.\nAnswer: -43007131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159 and 24.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 82076 divided by 284\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 2. Let y be h(-2). Let w = 0.22 + -2.12. Let s = -1.81 - w. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.3*-2.2.\nAnswer: 11.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - s)*(-31*s**2 + 12606*s - 12606*s) + s**3 + s**3 + 0*s**3.\nAnswer: 33*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 15*q + 54. Let r(n) = 3*n + 11. What is 21*r(z) - 4*u(z)?\nAnswer: 3*z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 112. Suppose -p + 13 = a - 15, 0 = -a - 5*p + h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1442 + 5?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8838 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 = -15*w + 1015. Calculate the common denominator of -22\/7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207508826 to the power of 1\/2, to the nearest integer?\nAnswer: 14405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 143*w**2 - 2644*w + 2152. Calculate d(-121).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-3 - -4) - 5) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 8*a**2 + 3*a + 17. What is k(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-52)\/7 - -3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9913, 1, -11\/76 in decreasing order.\nAnswer: 9913, 1, -11\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d**3 - d**3 - 16 + 21 - 5.\nAnswer: -75*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754677437 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26271\/(-126))\/(-139))\/(-24)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4176, -4907, -5638, -6369, -7100?\nAnswer: -7831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 128, 0.1, 3\/4, -91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13196 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 6, 15, 28, 45, 66?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 203\/21*3*6. Let n = 240 - o. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4645 - -18.4645. What is the third biggest value in 1\/8, y, -3, 2\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdcggucggcugugggdggg. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10158545977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 7. Let d be j(-7). Suppose z + 4*c = -3 + 7, d = -2*c + 2. Which is greater: 5\/41 or z?\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 45 + 7 = 0. Sort -0.1, x, 51, 3\/5 in descending order.\nAnswer: 51, x, 3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 0. Let h = z + 2.6. Let k = h + -0.1. What is the nearest to 0.1 in k, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((-107)\/(5136\/384))\/(-3 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 6 = -y. Calculate the least common multiple of 7 and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 16*j - 55. What is h(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 - -532. Let g = 311.8 - m. What is the biggest value in -10, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjyxdx. Give prob of picking 1 j and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 2*j**2 - 3*j - 2. Suppose 6 + 0 = 3*d. Let u = 0 - d. List the prime factors of h(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -31. Suppose -l - l = -i + 9, -m = 4*l. Suppose -v + 5*o + 4620 = 0, -4*v - v + i*o + 23012 = 0. What is v rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2282 + 7718. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3122*k**3*z + 6*k**3 - 2*k**2*z + 6*k**2 - 2*k*z - 36*z - 38445 wrt k?\nAnswer: 18732*k*z + 36*k - 4*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -245152353?\nAnswer: -245152344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-2)*3165\/10550\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z - z**2 + 34*z + 18*z - 19*z.\nAnswer: -z**2 + 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -633 + 2305. List the prime factors of g.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*u = 4, -5*d - u + 5 - 24 = 0. Let j(v) = v**2 - 1. Let q(p) = -2*p**2 - 2*p - 1. Let c(l) = 3*j(l) + q(l). Is 8 a factor of c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:49 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44285 + -23285. What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2457*t - 4003*t + 1581*t.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3)\/w**1)\/((w\/w**(2\/3))\/w)**(2\/41)*((w\/w**(-1\/3))\/w)**(-12)*w\/(w*w\/((w\/(w**(-2\/7)*w))\/w))*w**0*w assuming w is positive.\nAnswer: w**(-1448\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/525551?\nAnswer: 7\/525551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 6189 = 5916 - 11887. What is the remainder when b is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(0 + 4\/5). Let f = -1 + t. Suppose -2*c = -5*c + 12. Solve f*g = -3*u - 12, c*g + 7 = -2*u + g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311966 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 8*s - 15. Let z(v) = -v + 7. Let x be z(17). Let i be a(x). Let r be i\/(-210)*(-2 - (-5)\/6). Is r at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012848474 to 7 dps.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + u + 197 = 0, 3*u = -3*q + 101 + 28. Solve -3*r + 7*p = 3*p + 5, 5*r = -3*p + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(4)\/(1*sqrt(8)\/sqrt(4))*-4.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/7, 1\/4, -6.9 in increasing order.\nAnswer: -6.9, 1\/7, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 8*t - 40. Solve t*f - 4*f - 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112413, 113850, 116243, 119592, 123897, 129158, 135375?\n\"Answer: 478*j**2 + 3*j + 111932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q - 41. Let p be m(-5). List the prime factors of -1 + 5 - (-205 - p) - -5.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*q**2 + 181*q**2 - 89*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/8 + -9\/8. Let t(d) be the first derivative of s*d**2 + 2 - 1\/3*d**3 + 0*d. Factor t(u).\nAnswer: -u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:23 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2*d - 12 - 9)*(7 - 131 + 7).\nAnswer: 234*d + 819","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 0, -4, 38 in increasing order.\nAnswer: -4, 0, 1, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Suppose v*c = 243 + 93. Let f(i) = -i**2 - 8*i + 5. Let x be f(-7). Calculate the highest common factor of c and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.7 - 7. Let f be ((-100)\/(-55) - (-12)\/66)\/(-3). Let k = -2 - -5. Which is the nearest to 1? (a) k (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41d7c (base 15) to base 10.\nAnswer: -208917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4*i**3 + i**3 - 2*i**2 - 4*i**3 - 4*i**2 - i**3 + 4*i**2 + (4 + 1 - 4)*(0*i**3 - 4*i**3 + 6*i**3) - 3*i**3 - 2*i**3 - i**3.\nAnswer: -4*i**3 - 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from sxdssxdddsddsddds?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 48.2. Let k = v + -9. Let d = 0.3 - k. Are 0 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + f**2 + f - 1. Let s(p) = -2956*p**3 + 2217*p**2 + 2217*p - 2217. Give -2217*q(x) + s(x).\nAnswer: 1478*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2985984.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(432) + 2 + (sqrt(432) - sqrt(432)*2*1))**2*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 37 - 41 = 2*a, 2*a + n = 0. What is the nearest to 8 in -4\/3, -1\/3, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7728377 to the power of 1\/2, to the nearest integer?\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 + 13*c**5\/60 + 11*c**4\/24 - c**3 - 7*c**2 - 2*c. List the prime factors of s(-9).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 881*l - 2*l**2 - 28*l**3 + 27*l**3 - 881*l + 23 + 3*l**4 in the form d*l**2 + t + y*l + w*l**4 + k*l**3 and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 237257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66\/11*2\/(-18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 2. Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 10. Let c be o(8). Suppose y - k = -c*k - 23, 0 = 3*y + 3*k + 9. Suppose 0*n - n + y = 0. Solve 2*w - n*j - 1 = -3*j, -3*w - 4*j - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 16*j - 17. Let r(v) = -3*v**2 - 32*v + 33. Let o(y) = -5*a(y) - 3*r(y). Let n be o(17). Let c = n - -43. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 4\/9 (b) 313 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 - 128*z**4 - 1076*z**3 - 712*z**2 + 1920*z = 0. Calculate z.\nAnswer: -16, -15, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bd2b (base 16) to base 7.\nAnswer: 653153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36188*d**3 + 4 + 2*d + 36188*d**3 + d**2 + 2*d**4 to w*d**3 + v*d**2 + g*d + f + b*d**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(322\/345).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 2*o**3 - o - 56 + 51 in the form s + l*o**3 + r*o**2 + w*o and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -214.1 - -231. Let d = 18.9 - l. Which is the closest to d? (a) 2\/7 (b) -2\/19 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16276 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 268 = -329. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/168 and -139\/140?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. What is the closest to -1 in t, 2\/9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*u + 2384, 0 = -2*t - 0*t - 4*u + 1202. What are the prime factors of t?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q**4 + q)*(1097 - 1771 - 2784).\nAnswer: 17290*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = 6*d. Suppose -1 - 30 = -2*x - m, -37 = -2*x - d*m. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 37*w**2 + 254*w + 203. Let q be k(-46). Are q and 7563 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/18)\/((-1)\/6*(-52)\/(-52))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5301521 to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from etgggmggr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174860.\nAnswer: 2, 5, 37, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.084411511 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2. Let v be c(-4). What is the units digit of 25\/((v - -1) + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 31. Let s be 3\/c - (671\/(-6) + 0). Let t be (48\/(-4))\/((-6)\/8). What is the highest common factor of t and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(1\/(-3)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/15)\/(18\/(-378)*(-7)\/(-2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 113, 114?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006066.\nAnswer: 2, 37, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e2da (base 16) to base 11.\nAnswer: 402859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:06 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 7*l - 11. Let y(k) = -k**2 + 5*k + 7. Calculate 5*f(p) + 7*y(p).\nAnswer: 3*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43623 is divided by 1401.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 156*q**2 - 27383*q + 2368. Give y(-105).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -152\/9, -3.7, 0.03 in increasing order.\nAnswer: -152\/9, -3.7, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/90*(-6)\/8. Let a = 10802.934 + -10803. What is the nearest to k in -2\/17, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -5*r - s, 4*r - 4*s - 42 - 66 = 0. What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2965 - -3008. Solve -27 = 4*m - s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, 0, 5.\nAnswer: -29, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:41 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 5 = 0. What are the prime factors of r\/(6\/177)*2?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 739, 3073, 6965, 12409, 19399, 27929?\nAnswer: 37993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -278 - -221 - (1 - 38).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805575.\nAnswer: 5, 72223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 2. Solve -4*w = -w + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 38. Let x(p) = -9*p - 27. Let z(k) = -5*k - 13. Let g(o) = -6*x(o) + 11*z(o). Let b(q) = 7*g(q) + 4*l(q). Let j(m) = 2*m**2. What is b(j(u))?\nAnswer: 2*u**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p - 28*p + 10*p + (-2 + 0 + 0)*(p - p + p))*(-17 + 17 + 7*p).\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39772 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 20*r**2 + r**3 + 23*r + 4*r**3 - 3*r - 10*r**3.\nAnswer: 5*r*(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20) - 8\/(-5). Suppose h*j = 1 + 3. Factor -2 + 6*a**2 + j*a + 4*a**3 - 4*a**2 - 2*a**3 - 4*a.\nAnswer: 2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676 > 3674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14800, 14714, 14570, 14368, 14108?\n\"Answer: -29*i**2 + i + 14828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 0.038?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2431*o**2 + 1587*o + 26. Let a(q) = 1219*q**2 - 793*q - 12. Let n(w) = 13*a(w) + 6*u(w). What is the second derivative of n(y) wrt y?\nAnswer: 2522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 7. Let l be c(-11). Let i be 1390\/40 + 1\/l. Suppose -6*z + 61 = -i. What is the smallest common multiple of z and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 16. Determine t(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = v - 16 + 22, 2*q = 4*v - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 113846*b**2 + 9 + 2*b + 113953*b**2 to the form r*b**2 + x*b + l and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*v**2*y**2 + 2*v**2*y - 31*v**2 + v + 2*y**2 + 5*y + 1 wrt y?\nAnswer: 132*v**2*y + 2*v**2 + 4*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 7*q = 16. Suppose 0 = -q*c - 0*c + 16. Suppose -2 = 2*j - c. Solve x = -0 + j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2528 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -72916 divided by 1\nAnswer: -72916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.02, -2\/19, 32446 in increasing order.\nAnswer: -2\/19, 0.02, 1\/8, 32446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-42)\/140*(-104)\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 39 + 154. Let b = 35 - w. Calculate the remainder when 22 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n**2 - 3*n**2 - 36*n**2 - 551*n**2 - 528*n**2.\nAnswer: -1186*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/511 and -109\/4088.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24565 + 17399 = 4*f + 4*i, 5*f + 3*i - 52463 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 17101?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 1175*n**3 + 1170*n**2.\nAnswer: 5*n**2*(n + 1)*(n + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0 - 1\/20*d**5 - 4*d**2 + 0*d**3 - 3*d + 0*d**4. What is the derivative of h(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(-54)\/243*((-4)\/(-30))\/1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5152 + 6880. What is the least common multiple of 112 and f?\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 382*c - 386*c, -1 = 5*x + 4*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 18*w + 2*s, 17*s - 5*s = 10*s - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + 10.6. Let k = 13.0007 - t. What is k rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 118. Suppose 78 - 1678 = -10*v + 320. What is the highest common factor of b and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-2*j + 14 - 14)*((-1 + 3 + 0)*(-4 + 6 + 0) - 4 - 10 - 13)*(0 + 0 - 1) as v + w*j and give w.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) - (sqrt(1377) + (sqrt(1377) + 0 - sqrt(1377)) - sqrt(1377)))*-3)**2*3.\nAnswer: 594864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26448659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)\/q)**24\/(q**1*q*q**(2\/25)) assuming q is positive.\nAnswer: q**(-252\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 19*z**2 - 31*z - 43. What is w(-18)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*c**2 - 3 + 16*c**2 + 3 in the form i*c + m + o*c**2 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.07, 2\/5, 0.265, -5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3, 11321 = 5*j - 4*k - 12580. List the prime factors of j.\nAnswer: 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 3043?\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-1\/21)\/v))*v**5*v)**(2\/3)*((v**(2\/7)*v)\/(v**(-1\/3)\/v))**(-8) assuming v is positive.\nAnswer: v**(-1070\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1)*w*w**(2\/5)\/w)**42\/(w*w**(-2)*w*w\/w**(-3))**(-7) assuming w is positive.\nAnswer: w**(644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*c**2*p**3 + 38983424*c**2*p - 11740*c*p**5 wrt p.\nAnswer: -150*c**2*p - 234800*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 43 - -8) + 1 + 2 + -35.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.517 - -0.42. Let k = l + 0.138. Round k to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 2, r: 1, t: 1}. Give prob of sequence pra.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**0*g))**(-2\/3)\/((g*g\/(g**(2\/9)*g))\/g**0))**16 assuming g is positive.\nAnswer: g**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - (-1 - 2) - 27)\/((-37)\/1517) is divided by 122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -4. What is the tens digit of (2\/j)\/(10\/(-680))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 724, 1\/3, 4, 2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:35 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36496657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 7*z**2 - 4*z - 9. Let j = 3821 + -3559. What is the remainder when j is divided by c(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -189. Is 1.1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 327735 = 4*h + 327763, -36 = -3*h - 8*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3847 - 7*o**2 + 3*o**3 - 4*o**3 + 2*o - 77*o**2 - 3849 + 0*o**3 as m*o + k + q*o**2 + r*o**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(25)\/sqrt(5))*-3 + 4.\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = 3*u. Let s = -6 + 3. Sort u, -5, s in decreasing order.\nAnswer: u, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/156*-4)\/(3810384\/(-55224) - -69)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 12011?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 + 0.06. Let w be 2\/(-6) - 320\/12. Let f be ((-6)\/w)\/(2\/6). Which is the closest to 0.1? (a) p (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -54 + 27 + 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(468)*-2*1 + -4 - 6*(0 + sqrt(468)*1*3)) + -5.\nAnswer: -180*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 38553*b + 2135. Is z(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 1. Let l be h(1). Let z be l - 6 - 6\/(-2). Let t = z - -7. Solve t = -0*s + 5*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 - 3*c - 5. Let z be l(5). Suppose 2*v = z*v + 9. Suppose 4*q + d + 17 = 0, -3*q + 0*q - 4*d = 3. Sort v, q, 3.\nAnswer: q, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose j = -f + 11. Let b be (-46)\/(-10) - (-6)\/15. Solve -3 = 4*d + d - 2*a, -f = 2*d + b*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1028 and 58278862.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.63 (b) 0.1 (c) -1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7591 less than -6050774?\nAnswer: -6043183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 285 + -3133\/11. Which is the nearest to 0.1? (a) s (b) -5 (c) -18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 1. Let s(t) = -5*t**3 - 6*t**2 - 4*t - 3. Let a(o) = 2*i(o) - s(o). Let f(x) = -x**3 - x - 1. What is -a(j) - 4*f(j)?\nAnswer: -j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 199*d - 2080. What is q(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 13*p - 640. Find the first derivative of 64*l - 55*l - 76 - p*l wrt l.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62d6dc (base 15) to base 10.\nAnswer: -4702932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 + -0.2. Which is the third smallest value? (a) z (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 + -299. Let p = -164 - q. What is the closest to -1 in -1, -0.4, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157563936 rounded to 3 dps?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8462 in 0, -8, -0.18, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 162366 divided by 6\nAnswer: 27061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661.798 months in decades?\nAnswer: 22.18165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/14*(-5)\/(-7) and -58\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4528.3347 nanoseconds to days.\nAnswer: 0.00000000005241128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40572 divided by 828\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 384636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -2.06. Let o = -0.016 - 0.984. Which is the closest to o? (a) 2 (b) -13\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + 4*x - 11. Let f be b(3). Is f at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1acc30 (base 15) to base 5\nAnswer: 313340440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/(-36))\/((-4)\/(8\/(-3))). Let k = -73\/7 + 75\/7. What is the nearest to g in k, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2*3\/6. Solve 3*m + 3*r - 18 = k, 0*m - 2*m + 10 = r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:07 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12875244 divided by 4291748?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 6*i - 4*i)*(-138 + 97 + 94)*(-2 + 2 + 2).\nAnswer: -530*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - (sqrt(126) - (sqrt(126) - -2*sqrt(126)) - sqrt(126)))\/(4*sqrt(14)\/sqrt(2) - sqrt(7)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/68 - (-1)\/4. Let z(w) = -4*w**2 + 4*w - 7. Let l(y) = 5*y**2 - 5*y + 6. Let n(r) = -3*l(r) - 4*z(r). What is n(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:56 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -45847.\nAnswer: -1146175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*q - 84*q - 210*q - 338*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.83 + -1.03. What is the closest to 1\/2 in 0.3, 4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1749*s + 11 - 6.\nAnswer: 1749*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/46*8*(-9)\/990.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489 - 503. Let x be (-6 - 1)*(3 - (-46)\/t). Solve 3*a = -2*n - 0*n + 8, -x = -2*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-5 - 1) + 8) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -7882, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/2 + (13 - 0). Suppose 6*t = q*t - 777. Suppose 119 = 2*z - g - 4*g, 0 = -4*z + 3*g + t. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 37 = f - 133, 5*f - 434 = -3*y. What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 83.3273 hours?\nAnswer: 299978280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -26*s. Let h be n(-2). Let y(k) = 6*k**3 + 43*k**2 + 8*k + 9. Let d be y(-7). Suppose d*q - 172 = -68. Is h <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 9*d - 68 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4802 - -0.5802. Put 4\/5, x, -154 in decreasing order.\nAnswer: 4\/5, x, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -1) + 7 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q. Suppose 5*i = -48 + 133. Suppose 0 = z - 4*w + 4, z + 0*w + 3*w - i = 0. Let t = z - 9. Give p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12774*y - 25541*y + 12771*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -57332*o**2. Let v(d) = -13*d. Calculate v(r(k)).\nAnswer: 745316*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3088 and 423760?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/5, 3, 5432.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 50*j**4 - 2*j**3 - 12*j**2 - 2*j + 1. Let r(q) = q**4 - q**3 - q**2 - q + 1. Let x(o) = k(o) - 2*r(o). What is the third derivative of x(p) wrt p?\nAnswer: 1152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7106161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 20, 2*o + 1263*r = 1258*r + 47239. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895290 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 9*x**2 + 10*x - 10. Let d be h(8). Let w(u) = -u**2 + 28 - 46*u - 48*u + 98*u. What are the prime factors of w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 25141.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:29 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (-14 + 31 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283282742 + -283282872.999917. Let s = -131 - q. Round s to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271267116.\nAnswer: 2, 3, 22605593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*u - 18 + 6, 9 = -5*d + 3*u. Solve d = -3*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 6*s**2 - 11*s**2 + 3*s**3 + s**2 + 6*s**2 to n*s**3 + i*s**2 + a + v*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 218 - 22 = 0. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64376, -64524, -64672, -64820, -64968, -65116?\n\"Answer: -148*p - 64228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + f - 13655 = 0, -2*r - 59*f = -63*f - 9094. Calculate the greatest common factor of 369 and r.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-924)\/(-1320))\/((-7)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*q - 136 = 0, -101 = 5*m + 3*q + 197. Let w = -33 - m. Differentiate -19*z + 13 + 48*z + 2*z**3 - w*z wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-8)*4)\/(-1). Let p = 16 + v. Solve 5*d = -m + p, 3*m - 5 = -2*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -7. Let g be 6\/(-8)*b\/(-16). What is the biggest value in 3, 2\/15, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 23, -3, 4 in decreasing order.\nAnswer: 23, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = i + 32*i. Calculate the highest common divisor of 288 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 2. Suppose -5*o + 4 = w - 10*o, o = w. What is v(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2 - 4 - 9 + 16. Let l(x) = -x - 4. Calculate -2*l(t) - 9*p(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -20 (c) 0.08 (d) -14.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31281761?\nAnswer: 7, 37, 120779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7128580 to the nearest integer?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -13*a**4\/12 - 14*a. Let p(h) = 2*h. Determine p(m(g)).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(819\/(-13)))\/((-1)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 3, -3, 7, -5 in increasing order.\nAnswer: -34, -5, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144576*c**2 + 72300*c**2 + 72277*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623257119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/7)*c*c)\/(c**(-12)*c)*(c*c**(-2))**33 assuming c is positive.\nAnswer: c**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17368088, -34736163, -52104240, -69472319, -86840400, -104208483, -121576568?\nAnswer: -138944655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2125 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z - 28. Let r be p(-3). Suppose -i - 11 = -u - u, 5*i + r = -u. Sort u, -2, 20 in decreasing order.\nAnswer: 20, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*f + 4*j, 0 = 3*f + 4*j - 6 + 1. Let y be f\/2 + (-40)\/(-16). Suppose -2*x - 3*n = 13, n = -x + y*n + 6. Solve 0 = 2*u + 3 + x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 - 28*f + 293. What is q(9)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuerhex. What is prob of picking 1 x, 1 u, and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 - 214. Let m(o) = -o**2 + 37*o + 17. Does 9 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6319067148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnykama. What is prob of sequence ynm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -130, -395, -912, -1765, -3038, -4815?\n\"Answer: -14*y**3 + y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/14))\/(43\/(-516)*12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4076 = -61*a + 49*a + 186772. What is the greatest common factor of 71 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (17 - 19)) + 28\/5 + -1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26509.097 - -26361.2. Let f = y - -148. Round f to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 4. Let l(a) = 345*a + 20. Let i(r) = -5*d(r) + l(r). Let f(k) = -k. Determine f(i(m)).\nAnswer: -365*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/7 - 47668*u**3\/7 + 714502*u**2\/7 + 1619692*u\/7 = 0. Calculate u.\nAnswer: -2, 0, 17, 23819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 193062, 193061, 193060?\n\"Answer: -n + 193063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.3 - 55. What is the second smallest value in 2\/15, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 31 = -9. Let a be (-1 - b\/(-2)) + 0. What are the prime factors of (-18)\/(-1)*(-4)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65893, -131623, -197009, -261877, -326053, -389363, -451633, -512689?\nAnswer: -572357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 5*o + 3. Let i(v) = -v**2 + 55*v - 374. Calculate the least common multiple of i(47) and l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -110010001?\nAnswer: 110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8950 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: Collect the terms in -492*d - 426*d + 140*d - 309*d + 1 + 218*d.\nAnswer: -869*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 7*z**2 - 11*z - 5. Suppose -42*a - 98*a - 40 + 460 = 0. Let r(c) = -2*c**3 + 3*c**2 - 5*c - 2. What is a*v(g) - 7*r(g)?\nAnswer: 2*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/7*b**3 + 0*b**2 + 0*b + 3\/7*b**4 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 3. Let h(p) = -9*p + 13. Suppose -5*u + g + 63 = 195, 4*g = -2*u - 44. Let a(k) = u*i(k) + 6*h(k). Let n(c) = 4*c**2. Calculate a(n(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140971 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**6 + 0 + 9*j**2 + 0*j**5 + 13\/210*j**7 - 2*j**3 + 0*j + 0*j**4. Find the first derivative of h(m) wrt m.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c - 8. Let q(u) = -23*u + 12. Let a(y) = 2*q(y) + 3*v(y). Let x(f) = 105*f. What is a(x(p))?\nAnswer: 1155*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12043.\nAnswer: 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17478.3 - -17478. What is the fourth smallest value in 2, 276, 1, v?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6208\/15 + -414. Let f = 5 - 4. What is the smallest value in w, f, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 9\/11, -4078?\nAnswer: -4078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/7 + 2872*q**3\/7 - 2070694*q**2\/7 + 12346728*q\/7 - 18481401\/7 = 0?\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqmjhmjmjujmjj. What is prob of sequence qq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p - 178*p = -12386605 + 3728605. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (-215)\/(-3) + (-4)\/6.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 803814 by -1923.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38114565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82194, -82090, -81916, -81672, -81358?\nAnswer: -80974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 249, 374, 499, 624?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -54. Is u less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0113173 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1715) + 1*sqrt(1715) + sqrt(1715))\/(sqrt(28)*4).\nAnswer: -63*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 1\/(-2). Let m(k) = 136 + 2*k**2 + 86 + k - 4*k**2 + 40 - k**3. Is m(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 2*n**2 + 5*n + 12. Let b(g) = -g - 1. Suppose -3*u + 8*y - 11 = 12*y, 4*u + 21 = y. What is u*b(d) - c(d)?\nAnswer: d**3 - 2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s - 3*s - 2*s**3 + 13*s - 21*s**2 - 9 - 20*s**2 + 32*s**2. What is u(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**3 - 3*d**3 + 5*d**3)*(2*d - 6*d + 3*d + (-3 + 2 + 2)*(-5*d + 4*d + 3*d))*(-2 - 2 + 6) to o*d**2 + v*d + j*d**4 + k + i*d**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11462351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-86)*(-40)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79065?\nAnswer: 3, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.1. Let d = 23752\/3 + -7916. Let u = 19 - 19.1. What is the closest to l in u, 5, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13562 + -8266. What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 733, 1456, 2179, 2902?\n\"Answer: 723*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:04 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74.84 + 65.06. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -57.1947, 1\/4, 4 in descending order.\nAnswer: 4, 1\/4, -0.5, -57.1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*h + 89 - 89)*(4 - 1 - 2 + (-1 + 0 + 0)*(-1 - 3 + 3))*(-2 - 2 + 7).\nAnswer: 228*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -410 + 2471. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {v: 1, h: 2, p: 1, i: 4, j: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 23*d + 139. Let o be g(14). Does 17 divide ((-14)\/7*1)\/(2\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 22060*z + 22052*z - 44111*z. Let g(p) = -6166*p. Determine q(g(y)).\nAnswer: -6166*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - (18 + -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7002\/7 - -1000. Let l = 316 + -315.782. Is l less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -4. Let s(c) = -3*c**3 + 6. Let v(q) = -2*q**3 + 5. Let j(x) = l*s(x) + 5*v(x). What is the derivative of j(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - 615\/4. Let d = -6 - -6. Which is the third smallest value? (a) i (b) d (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 - -13 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43668 and 57.\nAnswer: 829692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d + 5. Let k be y(0). Let s(t) = -t + 7. Let m be s(k). What is the third derivative of -2*p**2 - 3*p**m + p**3 + 6*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 5 - 33 = 0. Solve 3*q - n + 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1474162, 17, -2\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 10968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 2:33 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9802 + -9802.3. Which is the closest to 0.2? (a) p (b) 5 (c) 2 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -33. Which is the nearest to 1? (a) q (b) 0.3 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 199 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/119, -18, -0.12 in decreasing order.\nAnswer: -0.12, -18\/119, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16428 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -2*v + 4*v, -3*t = -2*v + 21. Suppose 2*l = -2*s + v + 18, 2*l - 12 = 4*s. Suppose -4 = l*u - 9*u. Put -0.2, u, 8 in increasing order.\nAnswer: u, -0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0549693342 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545126485.\nAnswer: 5, 29, 229, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-49))\/(102\/4284)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 9435884 in descending order.\nAnswer: 9435884, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkt when three letters picked without replacement from {t: 1, k: 1, p: 1, u: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/2 + 4. Is m != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from nkqqkwqqqnqqwkqq.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8094 + 16*(-242)\/(-176) is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9173 + 9287. Calculate the remainder when 325 is divided by t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3251 + 12?\nAnswer: 3263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -33*u - 227. Let a be i(-7). Solve -5*l + 4*k + 25 = -a*l, -4*l + 5 = 3*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 4, t: 4, i: 4}. What is prob of sequence ww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*j + 22, -11*c - 2 = -6*c - 3*j. What is the highest common factor of 8 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**3 - 5 - 1\/14*t**4 + 0*t + 0*t**2. Let k(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7956 = 382*c - 1117*c - 1140*c - 114*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 684, 755, 832, 915, 1004, 1099?\n\"Answer: 3*b**2 + 62*b + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*j, 10*j = -2*h + 5*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/4 + 92*v**3 - 1121*v. Let m(o) = 0. Calculate o.\nAnswer: -184, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Let c be u(4). Suppose -2*d = -4*b - 1 + 13, -3*b - c*d + 23 = 0. Suppose b*n = -4*f + 36, f + n - 20 = -3*n. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 129, 148?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*g + 2*r, 3*g - 2*r + 2 = 4*g. Let c(z) = 105*z**2 - 67*z + 66. Let q be c(1). What is the greatest common divisor of q and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2, -1\/3, 0.77?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**4 - c**2 - c. Let t(v) = 57*v**5 - 2*v**4 - 2*v**2 - 63*v - 2. Let u(z) = -2*f(z) + t(z). What is the second derivative of u(b) wrt b?\nAnswer: 1140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64530 divided by 6?\nAnswer: 10755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 4:54 AM?\nAnswer: 333","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 370745.46 rounded to the nearest one hundred?\nAnswer: 370700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-117)\/(-18))\/((-3)\/(-1746))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Suppose -65042 = -h*n - 17842. Round n to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10783*p*x**2 - 15701*p + x**2 wrt x.\nAnswer: -21566*p*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0888 times 8\nAnswer: 0.7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701.399 millennia in years?\nAnswer: 1701399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1755, 3617, 5479, 7341, 9203, 11065?\nAnswer: 12927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*v - 28, 3*v - 6*z - 12 = 21. Which is smaller: v or -44\/173?\nAnswer: -44\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -109046929.8 and -3.\nAnswer: -109046932.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44229?\nAnswer: 3, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 - (5 + -22))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 154180.\nAnswer: 34\/38545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -17*o - 214. Let r be m(-66). Let x be (2 + 0 + -1)*5. Suppose -u + 197 = q, 4*u + x*q + 119 = r. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 30 = -5*q, -5*c - 36 = -0*q - 2*q. Let n be (c\/6)\/((-4)\/6). Let b be -4*n*(-1)\/4. Solve 0 = -5*d - b - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4205979, 8411956, 12617933?\nAnswer: 16823910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.5 (c) 14796 (d) 47 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 25*d + 44. Let y be u(-21). Which is the biggest value? (a) y (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -298439?\nAnswer: 4\/298439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432041680?\nAnswer: 2, 5, 2297, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110703.553 rounded to the nearest 1000?\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 197*u + 1058. Is b(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9172\/(-8))\/(-6*1 - -1). Let i be 0\/(-2) + 229\/1. Let m = h - i. Calculate the common denominator of m and -52\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, -61, -4\/15, 0.1 in decreasing order.\nAnswer: 0.1, -4\/15, -1.8, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.18 + -2.2. Let q = d - -0.11. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:45 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*n - 186*n + 364 = -345*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/890 and 63\/25.\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222520 + 2?\nAnswer: 222522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:39 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 + -5)\/((1 - 2) + -1) + 7. Let g(q) = q**3 + 4*q**2 - 2*q + 7. Let x(z) = -z**3 - 3*z**2 + z - 6. Determine i*g(b) + 4*x(b).\nAnswer: -b**3 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 411 + 18 = 0. Calculate the highest common divisor of 33 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 28 = 4*q, 5*d = 5*q + 1216 - 1231 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592027212 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3\/4 - 3*t**2\/2 - 75*t\/4 + 75\/2 = 0.\nAnswer: -5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -u + 10, 24*p + 5*u - 2 = 25*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13537.4 and 188?\nAnswer: -2545031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 200 = 80. Is 14 a factor of 16\/w + (-292)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*j + 9, -2*t + 5*t - 12 = -4*j. Suppose 4*q + 5*g = 85, 81 = -0*q + j*q - 2*g. What is the closest to -1 in q, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221313 - -20?\nAnswer: 221333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13613 - 13568. What is the greatest common divisor of w and 4545?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s - 2 - 9*s - 12*s + 0.\nAnswer: -34*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 464 + 252?\nAnswer: 6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -292620, -1, 7.\nAnswer: -292620, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(b - 3 + 3)*(-13*b + 66 - 66) to the form k + j*b + d*b**2 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2109480834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -47.4546.\nAnswer: -996.5466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*1)\/sqrt(7))**2 + 4 + (sqrt(80))**2.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61968 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40\/6)\/((-6)\/23319). Let p be v\/(-25) - (-4)\/(-10). Suppose 0 = 3*x - 3*l - 777, l = -4*x - 0*l + p. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + 2.8. Which is the biggest value? (a) -6 (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 7*a - 5. Let o be h(6). Suppose v = 2*b - 13, 0 = b - 5 + o. What is the second smallest value in 0.5, 2, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 9*p - 12. Let f(k) = k**2 + k - 1. Let s(x) = -2*f(x) + q(x). Let m be s(-9). What is the greatest common divisor of m and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*z + k + 8, 0 = -4*k. What is the least common multiple of z and 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/8)\/(11\/4) - 1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2540\nAnswer: 10160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2. Let a(o) = o**2 + 3*o - 7. Let p be a(-5). Suppose -h = p*h - 8. Let m(q) = q**h - q**2 - 2*q**2. Give m(z(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 11*h + 80. Calculate s(-11).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 4*k + 0*k + 5. Let h be t(0). Suppose 15 = -r + h*s, -s + 37 = 4*r + 13. What is the smallest common multiple of r and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/5 and 9\/1084 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6503?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 8*u - 1. Determine i(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**2 - 11*s**2 - 7*s**2 + 9*s**2.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 1520 = 16*c. What are the prime factors of (256\/c)\/(1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 19472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 377.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 27439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*f + 888, 0 = -5*f + 3 + 7. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-1651*(-9 - (-2 - 6)).\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1358 + -65?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -178, -181, -184, -187?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4911.998 - -4920. Let c = 8 - k. Round c to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 3667*u**2 - 3665*u**2 - 174*u + 174*u.\nAnswer: 4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 24010 (base 6) to base 16\nAnswer: d86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 - s**2 + (-1493 + 4026 - 1888)*(3*s**2 - 3*s**2 - 2*s**2).\nAnswer: -1291*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 1. Let v(d) = -1 + 6*d + 1. Let i(j) = 5*n(j) + 6*v(j). Let k be i(-5). Are k and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/12)\/((2\/(-20))\/((-682)\/(-1705))).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:47 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 54329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445417 is divided by 3441?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7191*q**3 + 15*q**2 + 15*q + 45. Let u(l) = 3596*l**3 + 7*l**2 + 7*l + 21. Calculate 7*j(w) - 15*u(w).\nAnswer: -3603*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747 and 10078275?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/165, 0.05, -4, 0.3, 1?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s**2 - 2 + 2 - 2*s. Let k(f) be the third derivative of -f**5\/12 + f**4\/24 - 212*f**2. What is 7*k(u) + 4*t(u)?\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 380*n - 807. Calculate j(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + z**5 - 14*z**5 + 1093*z**4 - 1093*z**4 - 28*z**5 + (z + z**3 - z)*(0*z**2 + 0*z**2 + z**2).\nAnswer: -43*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbc when three letters picked without replacement from ebececcb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320312 - 3?\nAnswer: 320303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14506 (base 9) to base 12\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61.1? (a) 0.1 (b) 1\/823 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -70*p**2 + 61. Let s(i) = 315*i**2 - 275. Let q(m) = -40*f(m) - 9*s(m). What is the first derivative of q(o) wrt o?\nAnswer: -70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -5\/3 (c) -0.0256 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.57 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -89. What are the prime factors of (-1)\/r - (-4)\/56*3082?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46940 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/1598 + -17834\/32759. Let c = -562 - -23044\/41. Let w = c + v. What is the closest to -0.1 in 0, w, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:06 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + 4*m**2 - 8*m + 4. Let r be w(6). Suppose u - 10 = -r*u. Solve 5 = u*s + 2*p + 21, 5*p = -2*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 16*p - 24.\nAnswer: -2*(p - 6)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/24 - 4*x**3\/3 - 4*x**2. Let g be m(-10). Solve 0*q = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*k**4 - 7625*g**2 + 1311*k**4 wrt k?\nAnswer: -4*g**2*k**3 + 5244*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 126*i - 2018. Calculate the remainder when 417 is divided by d(107).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 3*y**2 - 5*y**2 + (-4 + 4 + 2*y)*(2*y - 2*y + y) - 4*y**2 + 2*y**2 + 0*y**2)*(-73 + 72 + 10*y + 3*y).\nAnswer: -13*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/3*4\/(-3). Suppose -j = u + 3*u. Let i = -0.2 - -0.1. What is the second biggest value in -0.4, i, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(288)*4 - (sqrt(288) + 4*sqrt(288)*1))**2*-5*-4.\nAnswer: 696960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17)\/(442\/36309)*-2?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Let o = v - 3. Let h = o + -2. What is the second smallest value in h, -2\/17, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450952721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(700)*-1 + 5)**2*-2*6*-2.\nAnswer: -7200*sqrt(7) + 151800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713.6652 days to nanoseconds.\nAnswer: 61660673280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*-2*sqrt(396) - (-2 + 1*sqrt(396) - sqrt(396))*1)*3)**2 + 0 + -1.\nAnswer: -432*sqrt(11) + 14291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - 3?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10 + 68\/(-340)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*c + 1910*c - 201 = 706 + 1325 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 4. Let o(t) = 6*t + 5. Let v(d) = d**3 - d**2 - 5*d - 3. Let w be v(-3). Let l be (2\/(-4))\/((21\/w)\/(-7)). Calculate l*o(j) + 5*g(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = -3*f, -f = f + 2*q - 2. Let -19\/9*g**3 - 1\/3*g**5 + 4\/9*g + 14\/9*g**4 + 4\/9*g**f + 0 = 0. Calculate g.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 3. Let m be f(3). Suppose m*l = l + 64. Suppose -l = -5*q + 13. Solve -q = 2*h - 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3 - 7. Suppose -r - 6 = -b - 0*r, -p*b - r - 3 = 0. What is the highest common factor of b and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8*w = 3*w + 119, t - 5*w = 61. Let i be (t\/27)\/(1 + (-11)\/12). Let k = 126 + i. List the prime factors of k.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 + -38.7. Let v = -607 + 7893\/13. Let n(r) = -r**2 + 6*r + 1. Let o be n(6). Which is the biggest value? (a) o (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 25*o. Let n(g) = -80*g**2. What is n(q(l))?\nAnswer: -50000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 0 = -4*l - 10 + 2 - 10, -3*l = 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - 2280474*f. Let z(v) = v. Give r(z(c)).\nAnswer: -3*c**2 - 2280474*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380 - 5702\/15. Which is the closest to -3? (a) 2\/3 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 55*b - 3912. Give q(71).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285061783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 45*n. Let h(y) be the second derivative of -1\/6*y**4 + 0*y**2 + 1 + y + 0*y**3. Give h(a(k)).\nAnswer: -4050*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c + 12 = 0, -c = 5*k - 22. Suppose -k*a = 3*a - 264. Let q = a - 22. Calculate the highest common divisor of 44 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*s + 11, -3*z = -3 + 6. Let x = s - -11. Factor 5*i**2 - x - 4*i + 0 - 6*i**2.\nAnswer: -(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40\/393 + -41797\/10218. Find the common denominator of -53\/52 and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, -4, -240, 2, 0.0724, 4?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + q - 132, -4*s + 2*q = 5*q - 110. Let u = 42 - s. Let x = u + -10. Calculate the smallest common multiple of x and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7567?\nAnswer: 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyyyivivivivyy. Give prob of sequence yvyi.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from stsususssustuuuusutt?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104\/3 - 100\/3. Let b = -15233 - -15238. What is the closest to 2 in r, b, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 6468*g**2 + 38727*g + 58050.\nAnswer: 3*(g + 3)**2*(g + 2150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*w - 2*l, 2*l = 5*w + 4*l - 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285743.58 months to decades.\nAnswer: 2381.1965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14469*x**3 + 6747*x**2 + 1 wrt x.\nAnswer: 86814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635364 divided by 1961.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-14) - ((-153)\/(-21))\/3. Sort l, -4, -1, 2 in increasing order.\nAnswer: -4, l, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 16. Let s(d) be the first derivative of d**4\/4 + 3*d**3 + 5*d**2 + 8*d - 25258. Give s(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -37 - 7*z + 2*z + 26. Let a be k(-5). Calculate the highest common divisor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 174 = 133*c - 79. Factor 1\/6*q**c + 1\/6*q + 0.\nAnswer: q*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*g = 2, 5*t - 19*g = -17*g + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 195.013 years?\nAnswer: 2340.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 2*g. Suppose -g*t - 665 = -0*t. Round t to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**2 + 2*o + 1. Is p(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 9. Let n be x(-3). Suppose 2*f + 249 = n*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*v - 6*v**3 - 10*v)*(0 + 4 + 1)*(1 + 0 + 0) as q + a*v + k*v**3 + b*v**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309027180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Suppose -t*m - 8 = -5*m. Find the third derivative of -2*x**2 - 6*x**m + 8*x - 8*x wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1)*l)\/l)**(-2\/85))**(-20) assuming l is positive.\nAnswer: l**(16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 363, 731, 1129, 1563, 2039, 2563, 3141?\n\"Answer: r**3 + 9*r**2 + 334*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10085649 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 2586*q**3 + 211956*q**2 + 434280*q.\nAnswer: 3*q*(q - 770)*(q - 94)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*u + 3*u + 14 = 0, 4*c - u = 11. Suppose -3*w - 37 = 4*g + c, 3*g = -3. Let r = 109 - w. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -24*v - 5*v + 117 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 1\/20*l**5 + 0 + 0*l - 1\/12*l**4 + 3*l**2 + 0*l**3. Find the second derivative of n(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 3*j + 2. Let t = -2 + 0. Let k be u(t). Suppose 4*q = k*q - 36. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -967*t - 235. Is u(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 1125850*f**2 + 307 + 1125850*f**2 - 4*f to p*f**3 + j*f**2 + d*f + g + z*f**4 and give g.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 25 = s, 3*j + 2*j - 2 + 11 = 2*s + 26 + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 698675447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.3 at most as big as 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m**3 + 7*m. Let l(t) be the third derivative of 7*t**6\/120 + t**4\/6 - 11*t**2. What is 7*l(u) - 4*z(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498533 - 3015383 = -28*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + -43 - (-2 + -5)) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**7\/70 - u**6\/30 - u**4\/6 - u**3\/3 + 44*u**2 + 1. What is the second derivative of h(f) wrt f?\nAnswer: -36*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-12))\/(-4)*-3. Let i be (-18)\/12*p*-28. Let u be (-2)\/(-4)*252\/2. Calculate the greatest common divisor of u and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 11. Let b be k(-5). Suppose 3*o - 3 - b = 0. Suppose l - o*v - 3 = -0*l, 2 = -2*v. Is 1 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -161*b + 160. What is the hundreds digit of x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 932b - 136?\nAnswer: 91b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001191811 rounded to six dps?\nAnswer: -0.001192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Suppose -2*d + 4 = -2*p, p = -p + f. Let y be 2 + -2 - (-1 - -2). Put d, y, -4 in decreasing order.\nAnswer: d, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, 83, -1061 in descending order.\nAnswer: 83, 0.041, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 83790*h**3 - 7314960*h**2 + 212377730*h - 2054163525.\nAnswer: 5*(h - 29)**3*(h + 16845)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10514, -42134, -94908, -168836, -263918?\nAnswer: -380154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 717 - 190. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68643772543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05743 - -7.10043. Let k = h + -0.043. Is k less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -870*y - 984*y + 2873*y - 752*y + 7*y**2 as n + j*y**2 + b*y and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 339\/18 + 500\/(-600) - -6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -0.8. Put -1\/4, q, -2 in ascending order.\nAnswer: -2, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4514, 4488, 4452, 4412, 4374?\n\"Answer: g**3 - 11*g**2 + 4524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-3) + 211 + -4 + -2. What is the highest common divisor of 225 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h + 403 = 2*z, -4*h - 404 = -2*z. Let p = z - 1802\/9. Is p at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g + 1818 = 26*g. Suppose 3*h - 1363 = 2*y, 0 = -3*h - h + 2*y + g. Suppose 29*s = 24*s + h. Calculate the remainder when s is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 172964*c - 3113355. Determine f(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10643*v - 60 = 10640*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000751464063 to 6 dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76740, -77027, -77504, -78171?\nAnswer: -79028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 573\/47 - 51192\/4465. Let a = z + -10\/19. Determine w so that -2\/5*w + a + 1\/5*w**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 128776, 257549, 386324, 515101, 643880?\n\"Answer: b**2 + 128770*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 14*s**2 + 37\/6*s**4 + 0*s**3 + 249*s + 0. Differentiate y(z) with respect to z.\nAnswer: 148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76765583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 2*p. Solve -2*w + 3 = -p*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 7*g + 293. Let z = g - -39. Solve -2*j + 4*m - 6*m = 0, -m = -z*j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 20 = 0, 0 = 5*r + 3*a + 20. Let s = -686 + 689. Put s, r, -2, 1 in increasing order.\nAnswer: -2, r, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*45\/6. Let v(p) = 2*p - z*p + p. Let w(u) = -u**2. Determine v(w(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**2 + 3*w - 3*w as c + v*w + r*w**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5 + -3) - 2)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -22120?\nAnswer: -22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 58 - 64*g)*(-2 + 2*g + 2)*(4*g**2 - 11*g**2 - 3*g**2).\nAnswer: 1280*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*y**2 - 42*y**2 + 168*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*w + 54 = 649*w - b, -3*w + 31*b = 16 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 963367124 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 302.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/15 + 308*c\/15 - 608\/15 = 0.\nAnswer: 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14512071, 29024135, 43536195, 58048251?\nAnswer: 72560303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 616, 2863, 6648, 12001, 18952, 27531, 37768, 49693?\n\"Answer: 5*n**3 + 739*n**2 - 5*n - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 19*w**2 - 2*w - 1. Let r be a(-1). Suppose b + b = -3*o + 14, -2*o = 4*b - r. Let z = o - 0. 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 square root of 1168527 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37 and (-3 - (-16)\/5)*25 - 3?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*13\/((-2184)\/32)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108260739?\nAnswer: 3, 983, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 183112 + 0.02\nAnswer: 183112.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + -6. Let d = w + 6. Let u(v) = -v**2 - 5*v - 4. Let q be u(-3). Sort d, q, -1 in descending order.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*((-5)\/(-30))\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1024 by -16.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-30))\/(11*12\/528)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167173 + -1?\nAnswer: -167174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 38*g - 5. Let x be o(-3). Calculate the remainder when x\/28*1*-4 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -72, 2, -4, 3.\nAnswer: -72, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c**4 - 260*c**2 - 72*c + 17141 - 280*c**3 - 8*c**5 - 17141 = 0.\nAnswer: -9, -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 28*w - 30*w. Suppose p - 6*p + 10 = 0. Factor w*n**2 - n**3 + 2*n - 4*n**p - n**2 - n**4 - n.\nAnswer: -n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-2)\/(-5))\/(16\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29933032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t + 117*t = -1508. Round t to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 + 0)*(-5*k + 15*k + 9*k)*(-3*k - 4*k - 2*k)*(3 - 4 + 3) as b + w*k + z*k**2 and give z.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b\/(b*b**(-2\/7)))\/b)\/b*b*b)**(2\/5))**(-30)\/(b**(-2\/15)*b*(b\/(b*b**7*b)*b*b)\/b*b**2*b**(-6\/5)) assuming b is positive.\nAnswer: b**(-212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*l**3 + 19*l**2 + 344*l + 2918948.\nAnswer: 87*l**2 + 38*l + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -264, -197, -130, -63?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12727 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957323.\nAnswer: 443, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 0*z**2 + 0*z - 7 + 2\/3*z**3. Let p(k) = 2*k. What is s(p(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 8250?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6389 - -7817. Is r less than 1428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/4 - 20*r**3\/3 + 19*r**2\/2 - 8*r - 2. Calculate the remainder when 66 is divided by z(-21).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 3. Calculate the remainder when ((-12080)\/906)\/(4\/(-18)) is divided by q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**2 - 8. Let i(w) = w**2. What is i(b(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 311116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.42 times 0.0492\nAnswer: -0.414264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, i: 3, b: 2, t: 4, u: 4, w: 2}. What is prob of sequence qitq?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.1, 100, 3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2575 = 74094*q - 73991*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33011 + -33010.7. Put t, 0.041, 1\/4, 6 in decreasing order.\nAnswer: 6, t, 1\/4, 0.041","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z = 49*z - 17. Factor 3*f**2 - 13*f + z*f - f.\nAnswer: 3*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 8) to base 14.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 1 - 1)*(2*d**4 + 0*d**2 + 0*d**2) + (-3 + d + 3)*(0*d**4 - 2*d**4 - d**4).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2498*w - 49465 = 10487 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 7*z - 147. Which is smaller: 2\/7 or z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (-29 - -44) - -26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let n(f) = -f + 6398. Determine z(n(h)).\nAnswer: 3*h**2 - 38388*h + 122803212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r)*(-2*r - 2*r**3 + 2*r) + 5*r**4 + 0*r**4 - 6*r**4 - 2*r**4 + 3*r**4 + r**4 + 629551 - 2*r**3 + 1047*r - 2*r**4 - 629551.\nAnswer: -5*r**4 - 2*r**3 + 1047*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6 and 24\/197?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 4*c**2 + 5*c + 8. Let x be m(-8). Let t = x + -101. Let u = -271 - t. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 3*c + 8*c)*(c - 6*c + 3*c)*(c + 5*c - 4*c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f + 11 - 7 - 6809*f**2 + 6818*f**2 to z*f**2 + h + j*f and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36389 + -36367. Calculate the remainder when 51324 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k**3 - 21*k**3 - 18*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from afoaaxxpoxapaax?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + a**3 - 3*a**3 + (-1911 + 1911 - 54*a**3)*(-2 + 2 + 6) as i + y*a + j*a**3 + p*a**2 and give j.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.98097 - -1.58097. Let j = -6 - -5.956. Which is the fourth smallest value? (a) y (b) 3\/7 (c) j (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 4:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*s**3 + 24876*a + 3*s**3 + 5*s**2 - 58*s wrt s.\nAnswer: 6*a*s**2 + 9*s**2 + 10*s - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*n*x**2 - 707*i*n*x + 2*i*n + 2672*i*x**2 - 2*i*x - 2*n*x**2 + x**2 wrt x.\nAnswer: 2*i*n + 5344*i - 4*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421, -823, -1225?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11728 + 12085. What is the least common multiple of j and 663?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 10 = 0, 8*u - r = 9*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 36 = -4*y - 4*m, -m = 5. Put 3, y, -4, 2 in decreasing order.\nAnswer: y, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 51) + 0 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s - 1. Let u(j) = -6*j**3 + 4*j - 1. Let d(z) = -k(z) + u(z). Let d(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935806 - 6?\nAnswer: 4935800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22569466 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*a - 9 - 68, 0 = 5*d - 3*a - 297. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697 + -10.\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224 + 93. Let l = -131.0069 - q. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 1170317910.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23273\/6 + -3879. Which is the closest to s? (a) 71 (b) -1 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.4. Let i(h) = 11*h + 56. Let u be i(-5). Put n, u, 2 in ascending order.\nAnswer: n, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19050.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2\/7, 1\/2, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(44))**2 - (1 + sqrt(11) + 4))*2.\nAnswer: 6*sqrt(11) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n - 1. Let g be k(9). Suppose 3*y - g = h - 2*y, 5*y - 341 = 4*h. Let x = h + 143. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -2, -2\/11, 3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 0.1, 1, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose a*b - 119 = -109. Solve h - 3*f + 5 = 15, 0 = b*h + 4*f + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49226416 is divided by 63600?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -10, -b - 2*f = -f + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkzzkk. What is prob of sequence kkf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64381495 or -64381496?\nAnswer: -64381496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74884, -298894, -672246, -1194940?\nAnswer: -1866976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3349 + -3245. Solve 8*i + z = 88 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/32 + 21\/32. Let j = 274.1 + -113.9. Let x = j + -160. Which is the smallest value? (a) 4 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/(-328))\/((-1)\/(((-12)\/2)\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 2177 = 19*k - b, 0 = -5*b - 25. Let i = 578 - k. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 8*h + 2. Let y be i(8). Suppose 0*c + y*c - 84 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in 0, -0.138, -5, 2?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3537)\/4716*(-8)\/(-3)*24.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 32*d - 3. Let m be g(2). Let a(s) = -2*s**2 - 9*s. Let u be a(-7). Let q = m + u. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 217 + 10. What is the remainder when s is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*f - 116, -5*g - 3*f + 227 = -g. Suppose -4*a + 4 = -g. Suppose 0 = b - 4 - a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/(-345) + 69\/9 + -5 + -24\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -839, -289, 1 in increasing order.\nAnswer: -839, -289, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 2*h**2 + 3*h. Let x be g(3). Suppose x = -4*n - 0 - 4. Is n + -2 + 6*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 2.17. Let n = 2.5 + q. What is the nearest to -1 in -0.4, n, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**3\/5 + 434*x**2\/5 + 1928*x\/5 + 1992\/5.\nAnswer: -2*(x + 2)**2*(8*x - 249)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 702*s**2\/5 - 716*s\/5 - 4224\/5.\nAnswer: 2*(s - 3)*(s + 2)*(s + 352)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 39*c**3 + c - 3*c**2 - 1315 - c**2 - 6*c**3 + 1308 to the form o*c + j*c**2 + f*c**3 + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -862 - -862.10378. What is r rounded to 3 dps?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1934, -3851, -5732, -7559, -9314, -10979, -12536?\n\"Answer: 3*h**3 - 1938*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**6\/180 - z**5\/30 + 3*z**2 + 3. Let g(q) be the second derivative of u(q). Find x, given that g(x) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 + 2*o - 4. Let r be t(0). Solve -f - 2 = x, -2*x = f + r*x - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12195429 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 461968 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-21) + (-4)\/(-14). Let n = -10321 - -10326. Suppose a*b = 2*b - n*b. Solve 3*t = 5*x + 8, -3*x + b*x = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + m**2 - 6*m - 4. Let a(w) = w**3 + w**2 - 5*w - 3. Let j(d) = 6*a(d) - 5*r(d). Suppose k - 20 = -k. Let x = k - 12. What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.075 + -41.075. Let g = c + 40.94. Round g to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -387 in increasing order.\nAnswer: -387, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**3 - 5*d + 5. Let c(p) be the first derivative of -p**3\/6 + p**2\/2 - 14*p - 77. Let u(q) be the first derivative of c(q). Give s(y) - 5*u(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*h - 4*h - 300, -o - 306 = 4*h. Let x = o - -587. What are the prime factors of x?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4098 (base 13) to base 3\nAnswer: 110020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 1338560229.1.\nAnswer: 1338560229.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 72352?\nAnswer: 72352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**3 - m**2 + 10*m**3 - 25*m**3 - 25*m**3 to z*m + w*m**2 + n*m**3 + v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2814*k**2 + 9*k - 12. Let c be t(4). Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a29a (base 11) to base 15.\nAnswer: -120de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/91*-23*(-741)\/(-57).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/169 + -5396\/507. Is t at least -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 70 = -4*z. Is (-6)\/21 - 284\/z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14246662.\nAnswer: 2, 7123331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:07 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (13 - 10) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12394 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130473 and 106533.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 483693*c**2*l - c + 76068*l wrt c?\nAnswer: 967386*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224485282 to the power of 1\/2, to the nearest integer?\nAnswer: 34993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/5 (b) -0.5 (c) -2 (d) -437 (e) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*(6\/4)\/((-5)\/(-10))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(63)\/sqrt(36)*2 + -5)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/12048 and -145\/17256.\nAnswer: 8662512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12965011 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18936 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*i + 44 + 92, -3*i + 171 = 4*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5856228 by 4.\nAnswer: 1464057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**4 + 701*h - 265 wrt h.\nAnswer: 8*h**3 + 701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7339 + 4?\nAnswer: 7343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 23*s - 18 + 18 in the form v + p*s and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 - (-2 - -5)\/(-3). Suppose 4*b = 5*k - 2*k - 16, -5*b - f = -2*k. Suppose 114 = -2*s + k*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3462*t**2 - 6147*t wrt t?\nAnswer: 6924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 36581*s + 3 - 7*s**2 + 16.\nAnswer: -7*s**2 + 36581*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*l - z, -1423*l - 1426*l + 2852*l = -2*z + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 5*n - 2*n)*(2 + 4 - 4) - 159*n - 162*n + 344*n + (0 + 1 + 0)*(n - 3*n - n).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -583\/4 + 145. Let u = 16\/9 + -4\/9. Let h be -1*(-1)\/(2\/(-2)). Which is the closest to h? (a) u (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -22. Solve 5*l = -13 + n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213.32 + 213.030065. Let p = -0.29 - l. What is p rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 63*v - 33. Let k(c) = 4*c - 2. Determine 4*h(b) - 66*k(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -20, -17, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**11*k*k))\/((k\/((k\/(k\/(k\/(k*k**(-7)))))\/k*k)*k)\/k*k))\/((k*k*(k*k**4)\/k)\/k*k\/(k*k\/(k**(2\/17)\/k))) assuming k is positive.\nAnswer: k**(-172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j\/(j*j\/j**(4\/5))))*(j\/(j*j**1))\/j)**29 assuming j is positive.\nAnswer: j**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 154513.\nAnswer: 11\/154513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/28)\/(7\/(-49)). Is 0 + p + (-25 - -4690) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 - 8 = 0. Let i be 3\/((-9)\/k*3\/(-18)). Solve -4*c + q = 16, i*q + 7 - 1 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339563 and 5691?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -41*m + 45*m + 51, 0 = -4*r + 5*m - 141. Is r less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*s + p - 58, -s - 14 = -2*p. Let b be 7 - 1\/(-2 - -3). Let a = b + s. Sort 1, 4, a in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -25885.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + (-7 - -5) - (-368 + 43 - -317).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let z = 3717 + -3489. Suppose 18*h - 78 - z = g. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 0.9.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 9. Suppose s = l + 31, 0*l = -w*l - 5. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-113)\/(3562551\/452))\/((-2)\/(-3))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*-2)\/((-30)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 17*b + 60. Let x be l(12). Suppose x = 9*f + 17*f. Solve -7*u + 4*u - 3 = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {n: 4, a: 1, v: 5, m: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319183993 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = 5*t + 3*u, -2*t - 287 + 19 = u. What is the closest to -2\/3 in -1\/11, t, 0.07?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24025341 is divided by 872?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - o = 18, -3 = -g - 2*o. Find the second derivative of g*d**5 + 25*d**5 + 1263*d - 1434*d wrt d.\nAnswer: 760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007443 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 - 25*u + 306 = 0. Calculate u.\nAnswer: -34, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 799*c**3 + 389112*c**2 - 476*c + 5362. What is f(-487)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 546 = -16. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310600, -313982, -323162, -341038, -370508, -414470, -475822, -557462?\nAnswer: -662288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -214?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -18 + 72 + -91?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momojphpjpohhhmm. Give prob of sequence ph.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705 + 0.14.\nAnswer: -704.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -44*t**2 + 5*t. Let a(p) = 88*p**2 - 11*p. Calculate 5*a(u) + 11*o(u).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by -19\nAnswer: -675\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/621 and 61\/7659.\nAnswer: 22977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 9*m**2 - 8*m - 8. Suppose b = -5*o + 5 - 28, 3 = 4*b + o. Suppose t = b*t - 10. Calculate the smallest common multiple of c(t) and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 1. Let j be t(2). Let x be (1 - 1)\/(3\/3). Suppose x = -j*c + 2*c + 27. Solve 4*d - q = 4*q - 20, 0 = c*d + q - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1265 + 3193. Suppose 2*c - 2228 = 2*w, -w - w = -4*c + t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s - 115. What is the lowest common multiple of 1677 and w(9)?\nAnswer: 18447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-955)*3\/4. Let a = t - -427\/2865. What is the second smallest value in 2\/13, 5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let d = -138 + 968\/7. Let l(p) = -p**2 + 6*p + 7. Let g be l(7). Sort g, d, a in descending order.\nAnswer: d, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let o(b) = -5 + 10 - 3 - b. Let i(k) = -4*k + 7. Let s(m) = 2*i(m) - 7*o(m). Determine u(s(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(100))\/(sqrt(80) + (sqrt(80)*-3 + sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(5)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2. Let k = 2 + -3. Let z(c) = 31. Let o(d) = -9. Let s(a) = -7*o(a) - 2*z(a). Calculate k*b(y) - s(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.3 and -1.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39338, 39324, 39306, 39284?\n\"Answer: -2*q**2 - 8*q + 39348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-3))\/4*440\/40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3 - 1 + r**3 - 3 + 0*r**2 - 4*r**2 - 4*r. Let v be o(5). Let k = v + 11. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*i**2 + 6*i**2 + 9 to the form m*i**2 + u*i + l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -561063*k**2 + 5049568*k - 9.\nAnswer: -(k - 9)*(561063*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 + 0 = 0. Let p = -1 - d. Let x(f) = f**2 + 5*f - 3. Let v be x(-6). Sort v, p, 0.5 in decreasing order.\nAnswer: v, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481884831.\nAnswer: 3, 53542759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -22\/29, 0.2.\nAnswer: -22\/29, -3\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 34 = 4*a, 4*n + 0*a = 3*a + 36. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142620.236 + -142619.55799659. Let t = 0.678 - i. What is t rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/z)**22)**31 assuming z is positive.\nAnswer: z**(-2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 + (172805\/114)\/85.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10790, 21582, 32374, 43166, 53958, 64750?\nAnswer: 75542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 3. Let j = -33 + 57. Calculate the remainder when j is divided by d(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-5*sqrt(153) + sqrt(153) + sqrt(153)) + (sqrt(153) - sqrt(153)*-4*-1))\/((-4*(sqrt(9)*-2 - sqrt(9)) - sqrt(81)*-1)*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -448?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-8 - 0)) + -4. Suppose -8 = -l*b - 0*b. Suppose 17 = -b*x + 3*o + 123, -19 = -x - 3*o. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 3*l**7\/7 + l**6 + 11*l**3 - 27. What is the third derivative of n(z) wrt z?\nAnswer: 360*z**3 + 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i + 100*i = -4*z - 22, -2*i - 4*z - 26 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5) - 58*(-2)\/(-140).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4685, 4684, 4683?\n\"Answer: -h + 4686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102.5 + 107. Let h = 4.5000046 - v. Round h to 7 dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3ba - 18?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/3 + 1 + 2. Suppose -4*q + 58 = -2*k, -k = k + n. Suppose 0 = -20*v + 24*v - q. Solve -3*i + v = 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017714270 a multiple of 4943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*-2 + sqrt(1300)*1.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -73. Solve -2*k - 4*m = -3*m + 13, -4*k - 4*m - i = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/36)\/(45\/1350).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-3)\/2878)\/(77\/154))\/(9\/8). Do 1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -4\/3 (c) 0.6 (d) -4 (e) 0.4 (f) 248.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271\/801 - -9\/178. Let d = 553 + -3449\/6. What is the common denominator of d and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 11:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 8 - 7. Let d = 6 + r. Suppose d*q - 9 = 4*m + 3, -q - 3*m = -17. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (882\/14)\/7*(-1)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = -3*b + 18, -4*b - 20 = -2*s. Suppose 8 = 2*j - 2*y - 2, 5*j + y - 13 = 0. What is the remainder when ((-4)\/j)\/(-2)*51 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1740270 (b) -5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1015969*5\nAnswer: -5079845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 9 = 5*r, 113*r = 115*r + h - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x**2 - 3*x - 2. Let d(k) = -14*k**2 - 4*k - 2. Let a(q) = -3*d(q) + 4*z(q). What is a(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4\/4886787 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 34, 61, 96?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1663552834 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*v = v - 1, 0 = p + 3*v + 12. Solve u - 2 + p = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 3*q**2 + 2*q - 2. Let w be b(2). Let z(s) = -32*s + 31*s + 6 - w. Let u(t) = -2*t**2 + 8*t. What is z(u(d))?\nAnswer: 2*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h - 2. Determine c(11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 94 = -2*c, 43*c + 20 = q + 40*c. Calculate the remainder when 2435 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 3 - 220*t + 220*t - 3*t**2 - 3*t**2 + 5*t**2 - 3 - t**2 + 3 + (-2*t + 4 - 4)*(t + t - t).\nAnswer: -6*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 21. Let u(b) = 6*b + 4. Is u(k) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:10 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(sqrt(2448) + 5)*-6)**2.\nAnswer: 622080*sqrt(17) + 12820032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72742 and 40996.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = 9. Suppose -170 = -4*j - 5*v, j + j = i*v + 98. Let n be (-6)\/j + 46\/45. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 17*b + 2. Let s be t(-5). Suppose -21*j + 1228 = -s*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*f = 172*f + 154 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157*c**2 - 77 + 2260*c**4 - 152*c**2 - 159 wrt c?\nAnswer: 54240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*a**3*i*y - 360*a**3 + a**2*y - a*i*y - 3*a*y + 4*i wrt y?\nAnswer: 7*a**3*i + a**2 - a*i - 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*p**3 + 370*p**3 + 845*p**3.\nAnswer: 1945*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {l: 6, b: 1, e: 3, k: 1, a: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25505774, -25505771, -25505768, -25505765, -25505762, -25505759?\n\"Answer: 3*u - 25505777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2371, 0, 1437, 4 in descending order.\nAnswer: 2371, 1437, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5455 - 5420. Calculate the remainder when 278 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -4*d + 40. Suppose 5*b + 25 = t, 15 = -5*b - 10. Are t and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 52*i + 88*i - 3274 + 10289 = 0 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 - 250. Let u(o) = o**3 + 6*o**2 - 9*o - 7. What is u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*c - 3857 = 5*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11215.8 + -11216. What is the third biggest value in -4, 1\/2, -208, o, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 5) to base 4.\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2 - 1956*h + 1953 = 0 for h.\nAnswer: 1, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2576*q**3 - 296*q**2 + 4*q?\nAnswer: 15456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:55 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4611 and 13\/3074?\nAnswer: 9222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 + 5*v**2 - 2*v + 1. Suppose -15 = -5*s + 5. Let o(i) = -4*i + 11. Let h be o(s). Let b(p) = -2*p**3 - 2*p**2 + p. Calculate h*b(a) - 2*f(a).\nAnswer: 2*a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2045\/818*(-16)\/10. Which is the third smallest value? (a) h (b) -5 (c) -1\/2 (d) 0 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 30)*(0*a + 0*a - 2*a**3 + (2 - 2 - a**2)*(8 - 3*a - 8)).\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 1, k: 3}. What is prob of sequence ea?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3188859.834 rounded to the nearest 10000?\nAnswer: -3190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*y**2 - 5*y + 113*y**2 - 3*y + 3*y + 5*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(12\/64*4). Suppose 33*m = s*m + 2. Suppose m*w = 46 - 18. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 + 2464*x**3 - 3136*x - 1 wrt x?\nAnswer: -24*x**2 + 14784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 2*i + 4 - 6*i - 6 to the form o*i**3 + q + m*i + j*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1471061, -1471069, -1471079, -1471091, -1471105, -1471121?\nAnswer: -1471139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(175))**2 - ((sqrt(175)*-3 + -3)**2 + sqrt(175))) + (sqrt(252) + (1 + sqrt(252))*5)*-2 + 0.\nAnswer: -167*sqrt(7) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*u - 3*h, -3*u - 6*h - 24 = -3*h. Let i = -0.046 + -0.354. Which is the closest to -0.3? (a) 4 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8146.\nAnswer: 2, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**4\/6 - 5*o**3\/3 - 4*o**2. Does 18 divide h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-7 - (-1 - -12 - -26)) + -5\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 4163143583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 15 + -6 + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1281524 and 3368?\nAnswer: 2563048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1580 and -1.\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*m + 4, -2*k - 6 = -5*k - 2*m. Suppose 0 = i - k*i + 435. Suppose 0 = -2*w - w + i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/70)\/((-3652)\/136950).\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-152)*285*(-59)\/(-15045)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.97 in 0.4, -7, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11736 - 3601 = 0. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r**2 + 3. Suppose 8*z = 10*z. Let j be h(z). Let k = -7 + 24. Solve -25 = -5*m + 5*g, j*g + k = 5*m + 2*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0593 and -1.24.\nAnswer: -1.2993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 588*r**2 + 37*r**2 - 1520*r + 410*r**2 + 1520*r in the form h + d*r + v*r**2 and give v.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10259815*v**3 + 3*v**2 + v + 17337104 wrt v?\nAnswer: -61558890*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2798 and 19326.\nAnswer: 27037074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1072 + 5?\nAnswer: -106b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22 + (-4)\/3*(-135)\/(-180). Sort 36, 3, -5, i, 5 in decreasing order.\nAnswer: 36, 5, 3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*h - 85 = 0, -67 = -4*b - 4*h + h. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74851201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 17. Let g = v - 2. Which is greater: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 10, y: 2, q: 3}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-66))\/((23\/(345\/10))\/(-1))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-24 - -16 - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) -18.1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 7*z**2 - 4*z - 5. Suppose f - 2*s - 9 = 3, 2*s + 18 = 2*f. Let t be b(f). Let j(w) = w**3 - 6*w**2 - 6*w. What are the prime factors of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -5*a - 53. Suppose 4*r - 3*d = a, -r - 10 = 3*d - 4. Solve 0 = -4*i - r*n, 0*i - 2*i = -5*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Suppose i = 3*j - 3*a - 978, 8*j = 12*j - 2*a - 1294. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/15 - 11\/10. Let r = 1 - 1. Which is bigger: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 123990808*w - 123990804.\nAnswer: -4*(w + 1)*(w + 30997701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237440 and 20?\nAnswer: 237440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.5 (b) 0.1 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 40 (b) 4\/101 (c) -3\/4 (d) -0.211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18888.000053296 - -18888. What is q rounded to six dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 14. Let t be q(-7). Solve -4*y - 4*o = t, 3*o + 14 + 1 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**4 - 5*i**4 + 4*i**4)*(2 + 0 - 4) - i**2 + 36*i**4 - 25*i**4 - 16*i**4.\nAnswer: -9*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 118 = 2*m - n, -6 = -3*n. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/6 + 761*d**2\/6 - 378101*d\/3 + 377720\/3 = 0.\nAnswer: -1330, 1, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 42. Suppose -12*j - 1 + 1129 = p. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17200\/3*h - 254*h**4 + 8128\/3*h**3 + 16\/3*h**5 + 7452*h**2 + 1250 = 0.\nAnswer: -1, -3\/8, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = -4*d, -3*d = -11 - 1. Suppose -4*n + 3616 = p*w, 3*w + 4*n = -0*w + 2710. Let t = 2377 - w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j - 2. Let z(d) = 2*d**2 - 26*d - 16. Let i(l) = 15*s(l) + 5*z(l). Factor i(v).\nAnswer: -5*(v + 1)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5013*s**3 - 2735*s**2.\nAnswer: -30078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -1.6. Let v = 16.9 + k. Let p = -14.9981 + v. What is p rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 316*p**2 - 267*p - 2096. Is r(-8) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36261317, -36261324, -36261335, -36261350, -36261369, -36261392?\nAnswer: -36261419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + 54. What is s rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5639\/24778 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -461*t + 8288*t - 1367*t + 11253*t + 662*t in the form d*t + y and give d.\nAnswer: 18375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/9)\/(6\/9). Suppose 15 = x*t - 0*t. Suppose -2*b = -7 - 1, -48 = -t*h + 3*b. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 - 3*d**4 - 2*d**4 + (-3*d + 2*d + 0*d)*(3*d**3 - 2*d**3 + d**3).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.253, -0.3, -0.4, 3, -4?\nAnswer: -0.253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 5. Let z(j) be the third derivative of -j**4\/24 - 2*j**3\/3 + 10*j**2. What is -5*q(m) - 6*z(m)?\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(((-63)\/(-18))\/((-2)\/4)). Let k = 312 + -306. What is the second smallest value in k, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 100?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -30*y**3 - 2*y**2 - y + 1. Let u be z(-1). What is the tens digit of 117\/(-2)*(-100)\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559520 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12391 = -9*m + 4403. What are the prime factors of m?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 - 228*p - 1568 = 0. Calculate p.\nAnswer: -49, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-2 + (2 - 0)). Suppose p*s + 27 = 3*s + 3*y, -4*s = -2*y - 54. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 + 3634624*v + 825655726336 = 0?\nAnswer: -454328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63\/34 + -349\/170. Suppose i + 0*i = 0. Suppose -15 = 2*a + a, 3*p - 4*a - 38 = i. What is the closest to -0.1 in b, -4, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 6*h**2 + 10*h - 7. Let k be q(2). Let n(f) = 4*f**2 + 8*f - 10*f + 5*f. Let t be n(k). Calculate the greatest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.695, 148.8?\nAnswer: -0.695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 3}. What is prob of sequence jjuj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3731 and -89.1.\nAnswer: -332432.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 - (144\/(-9) + -28905)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7683*g**2 - 596*g - 1189. Let i be x(-2). What is the highest common factor of 45 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 + 1. Let r be t(1). Calculate the remainder when 3*138\/(-27)*r is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319 + 321. Let f = -4 + 1. Calculate the remainder when j is divided by 1*f + -6 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -84 + 2*q - 86 + 257 - 84. Let d(j) = -6*j - 8. Suppose 4*u - 45 = o, 0*u - 3*o + 8 = u. Calculate u*r(f) + 4*d(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + -2)*-6)**2.\nAnswer: -1296*sqrt(11) + 32220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18482075 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p + 1. Let l be r(-1). Let u = l - -17. Suppose -3*n = -3*d, 4 - 14 = -n - 4*d. Solve -3 = n*h + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9*t + 216. Let s be 9\/t - 17\/(-6). Solve a = -s*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45838571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/207*(-82754)\/(-53970). Let s = -1 + 4. Which is the closest to -0.7? (a) s (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.638 - 286.638. Let b = m + 269.9. Round b to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/10)\/(h*h**6)*(h**(1\/2)\/h)**15 assuming h is positive.\nAnswer: h**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 12212 = 2*q - 39*c, -4*q = -3*c - 24468. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v + 8. Suppose 5*f - 11 = -h, -3*h + 4*f - 11 = -6. Determine u(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 4 = 0, -2*t = 5*a - 726. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 16*g + 45. Let s = 61 + g. Suppose 0 = 13*w - 15*w + 408. What is the remainder when w is divided by s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let a be s(-4). Let r be (-1)\/(a\/5) + 1. Let g = 4 + -1. What is the second smallest value in 1\/8, g, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(2 + (-61)\/31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 474\/7. What is the closest to r in 4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 5:14 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -2 + (-1416 - -1428)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(-m + 3 - 3) + 1 - 1 + 2*m - 182 - 68*m + 182 + 0*m + 2*m + m + 2.\nAnswer: -64*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -2059086?\nAnswer: 1\/343181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (396 - (-12)\/(-4))\/((-6)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 - 20*l**3 + 14*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let g(s) be the second derivative of s**4\/3 - s**3\/6 + 19*s**2\/2 + 8040*s - 1. Determine g(j(u)).\nAnswer: 16*u**4 - 2*u**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101001110?\nAnswer: 101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g + 4. Let h be (4 + -4)\/(1\/g). Solve 0*d**2 + 0*d**3 + 1\/2*d**4 + h*d + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1785, -3528, -5271, -7014?\nAnswer: -8757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*74555\/806\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/5 + 201*p**2 - 11733*p\/5 + 6783 = 0. What is p?\nAnswer: 5, 7, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 737452.6cm in micrometers?\nAnswer: 7374526000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/227182 and 59\/248?\nAnswer: 28170568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*(-80)\/1824*14\/(-245).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 - 3*i**2 + i + 3. Let a(u) = 5*u**3 - 2*u**2 + u + 2. Let v(y) = -4*a(y) + 3*z(y). Is v(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, -16, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.301ml in litres?\nAnswer: 0.366301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose 33*t = 26*t + 28. Suppose -t = v*w - 22. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10626235 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8951?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 231131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -510 + 514. Let i = 1\/18 - 5\/18. What is the closest to -1\/12 in 0.05, i, l?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208257 divided by -663?\nAnswer: -4839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -35*n**2. Let o(s) = -s + 20 - 20. Give o(a(j)).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4)*z)**19*(z\/z**(12\/5)*z*z)\/(z**4\/z))**(-44) assuming z is positive.\nAnswer: z**(-2607\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 27. Let h(m) = -m**3 + 17*m**2 - 20*m + 38. Let v be h(16). Let p = 52 + v. Calculate the remainder when f(20) is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*t**29 assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 353*y**2 + 23128*y + 1498224.\nAnswer: (y - 196)**2*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6716c1 (base 13) to base 12.\nAnswer: -992a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/53971547 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 24*c - 22. Calculate w(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**(1\/82)*(b*b\/b**2)\/(b\/(b*b*b\/(b*(b\/(b\/(b**1\/b)))\/b)*b)))\/((b**(-1)*b)**(2\/57)\/(b**2\/(b\/((b**(-1)*b)\/b)))) assuming b is positive.\nAnswer: b**(739\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/(-7) - 2\/(-7). Suppose 4*b - r*b + 2*d + 309 = 0, 0 = -2*d. Suppose 5*q - 77 = b. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 28*b - 185. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = -6. Suppose 0 = 4*u - a*u + 2. Is (168\/(-3) - 3)*u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from {c: 3, t: 1, j: 2, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4517\/14991 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69716988.\nAnswer: 2, 3, 11, 176053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103736?\nAnswer: 2, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255579214?\nAnswer: 2, 11, 11617237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 d when four letters picked without replacement from dcdcddddcddcdcdd.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4484732005186?\nAnswer: -4484732005186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -120 - 8*o**2 + 225 + 3*o - 105. Let v(n) = 120*n**2 - 44*n. Determine 88*p(g) + 6*v(g).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 14 = 5*t + 4*b, 4*b = -5*t - 10. Let f(s) = 2*s + 4. Let n be f(-4). Let q be (-8)\/20 - (-22)\/55. Put q, n, t in descending order.\nAnswer: t, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilil when four letters picked without replacement from liiiiiil.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 17*h**2 - 69*h + 1. Let n be s(7). Suppose i + n*i = 3*i. Solve 5*l - 8*l + 15 = i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 f, and 1 n when four letters picked without replacement from fnvjffvfjvff.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 + 100557*r.\nAnswer: 3*r*(r + 67038)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1400\/(-1848)*(2\/4 + 1) - 6\/(-6).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**2*w**2 - 1478716*p**2 - 69632*w**4 wrt w.\nAnswer: -8*p**2*w - 278528*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*m**2 - 2*m**3 - m - 28*m**2 - 7*m**4 - 2 + 6*m**4 to y*m**3 + j*m**2 + x + g*m**4 + z*m and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -2\/11, -5, 1.\nAnswer: -5, -2\/11, -0.1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 23, 26, 31, 38, 47, 58?\n\"Answer: q**2 - 2*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - (-774)\/12)\/(4\/(-8)). Suppose 2*o = -o - 186. Let r = o - u. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/11 + 1. Let g = -2.89 + 0.89. Which is the closest to f? (a) -2\/9 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24707 or -24693?\nAnswer: -24693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 51*b + 8. Let y be i(-6). What is the least common multiple of 258 and 4\/((-3)\/5*y\/12)?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q - 72*q - 16 = 7*n, -28 = 2*q + 5*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 366*a + 1566. Calculate q(-90).\nAnswer: 2106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 4403157.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r - 14. Is 20 a factor of m(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602 and 10612.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193955.\nAnswer: 5, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 13) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + x - 2*x = 3, -13 = -2*u - x. Suppose u*r + 2*z = 16, -2*r = -0*z - z. Suppose 4*o = 4 - 0. What is the greatest common factor of r and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256282 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -846445.6 * -1.9.\nAnswer: 1608246.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 500.0005184 - 500. Round m to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/24 - (-13)\/(-40). Suppose 5*x - 11 = -1. Suppose -4*v = -z + x + 8, 10 = -5*z. Which is the second smallest value? (a) y (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose 5*y = k*i + 6, 0 = -4*i + 5*y - 3. Let j = 9 - i. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11047, -22129, -33215, -44305, -55399, -66497?\n\"Answer: -2*m**2 - 11076*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:51 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*c - 80*c**3 - 2*c - 9 + 3.\nAnswer: -80*c**3 - 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 3. Let y be c(2). Let o = y + 31. What is the greatest common factor of 80 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24*y + 111. Give z(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t + 47*t - 27*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-11 + 22 - 13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a5 (base 15) in base 6?\nAnswer: 13015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(7)*-2)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*52\/11 + -4. Let j = l + -62\/55. Which is the nearest to -1? (a) j (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose 4*b = i*q - 20, 4*q - 15 = -5*b + q. Let d = b - 0. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273019?\nAnswer: 41, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 + -179. Calculate the greatest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 = -3*w, -11*w + 6*w = 5*o + 15. Let a(d) = -d**3 + 4*d**2 - 6*d - 3. Determine a(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n**(-20)*n)**3)**(-9) assuming n is positive.\nAnswer: n**648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 + 21*m + 85. List the prime factors of n(9).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i + 1 - 6*i + 0*i + 0. Let s be (3\/(9\/6))\/2. Give d(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6*(u**(1\/3)\/u)\/u*(u*u**(2\/23)*u)\/(u*u\/(u**8\/u*u)) assuming u is positive.\nAnswer: u**(857\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1314.55525 to two dps.\nAnswer: 1314.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296697.\nAnswer: 1069, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8348610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4 and (3\/2)\/(-3) + (-196182)\/(-383184).\nAnswer: 7096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-378) - (-11343)\/(-1026)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = j - 5*o, 4*j - 36 = 4*o. Sort j, -1, 1, 2.\nAnswer: -1, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001011111 (base 2) to base 6\nAnswer: -22355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -13994?\nAnswer: 4\/6997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 109. Let s be p(-37). Suppose 5*y + 21 = 4*i, -i - s*i + 4*y + 16 = 0. Which is the nearest to -0.1? (a) i (b) -3 (c) 2 (d) 16\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0490112 - -0.049. What is t rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.567 + 0.017. Let i = p + 0.35. What is the third smallest value in i, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from {b: 6, p: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43406601, 43406619, 43406637, 43406655, 43406673?\nAnswer: 43406691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 199887446 from 1.7.\nAnswer: -199887444.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242451 - 224?\nAnswer: -243115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 1\/5, 0.1.\nAnswer: 0.1, 1\/5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/(-4)) - (-32)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 202*r + 269 wrt r.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. Solve p = -5*m + 2*h - 23, -h - 12 = 5*m + 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16641245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(4 - 1 - 1)*(-46*k + 29*k - 5 + 15*k).\nAnswer: 8*k + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 4. Let j be k(7). Suppose 0 = j*c - 1 - 11. Suppose 5*a = -2*f + 58, -12 - 92 = -c*f - 4*a. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136648646 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -143*w + 201. Let z(v) = 73*v - 101. Let i(t) = -2*d(t) - 5*z(t). List the prime factors of i(-5).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 117*v**2 + 1976*v - 10776. Calculate u(-95).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218 + 213. Is -4 + ((-29930)\/q - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)\/(i**(2\/3)*i*i))\/(i\/i**(2\/13)*i**(-5)))**3 assuming i is positive.\nAnswer: i**(103\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*i**3 - i**2 - 374*i**3 - 3*i + 126*i**3 in the form v*i**3 + t*i**2 + l*i + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5198 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8937793?\nAnswer: 101, 88493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5)*u\/(u\/((u\/(u*(u**(-1\/4)*u)\/u))\/u))*((u\/(u*(u\/(u*u**(2\/3)))\/u))\/u)**29)\/(u**(-5)\/(u**(-6)*u*u*u))**(-28) assuming u is positive.\nAnswer: u**(-497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -4300?\nAnswer: -4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 11*r - 8. Let t be v(-10). What is the second derivative of -3*i + 2*i**t + i + 4*i wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2394, 1097, -1056, -4059, -7906?\nAnswer: -12591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - h, -6*o + o - 4*h + 14 = 0. Suppose 0 = 2*l - 6 - o. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {a: 4, d: 1, p: 1, u: 3, j: 6}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 2*y + 2*y - 12*y + 10*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + r = -7*y + 41, -5*y + 155 = -5*r. Calculate the highest common divisor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:42 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 441582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + 8 + 7 + -5 - -9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/20322 and 91\/20322.\nAnswer: 20322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 515*g - 4380. Let w be r(17). Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69454 is divided by 989.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.3 - -0.3. Let p = -5264 + 5265.0458. Let d = p - 0.0458. Which is the closest to d? (a) -5 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*g - 4 = 0, 2*g - 9 = z - 4*z. Let h be ((-1)\/(-2))\/((-11)\/110). Let m be 5 + -2 + (-5 - h). Solve m = -z*k + 13, -4*c + 2*k = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 16 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-4)\/96). Let j be (10 + -1)*u\/3. Calculate the greatest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -25. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 109*c + 31*c + 184*c - 21*c to the form p + y*c and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 12\/11*w**4 + 48\/11*w - 12\/11*w**2 + 6\/11*w**5 - 54\/11*w**3 + 0 = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**5 - 7*r**2 + 78*r**6 - 3*r - 4*r**5 + 11*r**5 + 9*r**5 - 73*r**6 wrt r.\nAnswer: 600*r**3 + 1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccpfczcfzzpfcccwzz. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0 - 24. Let k be (-15)\/j*4\/(-5). Solve k = b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 677 divided by 58936\nAnswer: 677\/58936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, -2, -0.02, -8\/9, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*l - 3*l. Let t(u) = -2*u - 7. Let w(c) = 2*c + 6. Suppose -40*i + 462 = -117*i. Determine i*w(n) + l*t(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/11*-3*3244\/(-5677)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Let r(f) = -f + 6. Let p be r(6). Suppose -2*c = -p*c - 8. Solve j = u*b + 14, -4*b + c*j = 3*j + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42795 (b) -2\/5 (c) 3 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59614*b**3*c**2*w - 542*b**3*w**2 - 326*b**2*c**2*w**2 + 158*b**2*w**2 - 720*b*c**2 + 2*c**2*w**2 wrt b?\nAnswer: 357684*c**2*w - 3252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + -61 + -63 + 121\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 15*b + 10. Let s be y(-7). Solve -7 + 1 = s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose -4 = -a - w. Suppose -5*g = 5*d + 20, 5*d - 4*g = a*d - 40. Which is bigger: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 270*42\/315 + (1 - 6).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*t + 127*t + 117*t + 10710 = 113*t for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71043482 or -71043480?\nAnswer: -71043482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/44 and -69\/82.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36308245.\nAnswer: 5, 787, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -102 (b) -3 (c) -1\/6 (d) -4 (e) 0.1 (f) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 - u - 2. Let c be s(0). Let o(a) = a**3 + 3*a**2 + 4*a + 3. Let t be o(c). Which is smaller: t or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41017274 to the nearest integer?\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 625\nAnswer: -3\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3261.\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(17) - (sqrt(153) + sqrt(153)*-2 + sqrt(153))\/sqrt(9))**2 - (sqrt(51) + (-1*sqrt(102))\/sqrt(2))\/sqrt(3)) + -3.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0891525l in millilitres?\nAnswer: 89.1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0367 - 0.3367. What is the second smallest value in -1\/10, -10\/9, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 163, 200, 293, 460, 719?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a + cd?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 13*m + 3. Let t be a(-13). Suppose -c - 3*c + d - 5 = 0, -3*d = -t. Sort -3, 1, c in decreasing order.\nAnswer: 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:56 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 2*v**2 + 0 - 1\/12*v**4 - 1\/3*v**3 + 4*v. Let i be a(-3). Solve -3*b = i + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.20257kg to tonnes.\nAnswer: 0.06620257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6063 - -6075. What is the smallest value in 6, h, -0.04, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20. Let k(q) = q + 70. Let h(c) = -2*k(c) - 7*u(c). Let v(f) be the second derivative of -11*f**3\/3 + 2*f. What is h(v(b))?\nAnswer: 44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2352 and 312228?\nAnswer: 1248912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/2)\/((-4365)\/(-1620) - ((-103)\/(-9) - 11))?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0)\/(5\/(-20)). Let v = y - 9. Solve -3*x - v = 3, 0 = 4*f + 4*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:27 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*s**3 - 62*s**3 + 2 + 15 - 56*s**3 + 239*s**3 - 51*s**3.\nAnswer: -s**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 + 5. Let g be c(2). Find the third derivative of 91*u**6 - 13*u**6 - g*u**2 - 2*u**6 wrt u.\nAnswer: 9120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1.1. Let h = 0.2 - n. What is the third smallest value in h, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17069 + -5644. Calculate the highest common factor of t and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -27. Let j be (a - 16)\/((-4)\/10). Suppose 2*o - 5*q = j, 4*q = o - q - 10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 104483982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 29 + 18 + 17 - 4139*n in the form u + o*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**4 + 3900*d**3 + 61776*d**2 + 184896*d = 0?\nAnswer: -1284, -12, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9*q - 305148 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 208\/14 - (232\/(-56) - -4). Let b be (-117)\/a + 2*(-1)\/10. Does 55 divide ((-363)\/(-6))\/(-1 + (-10)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v. Let k(a) be the third derivative of -a**5\/60 - a**4\/24 + 37*a**2. Determine -6*k(n) - 2*s(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + 2 + -5 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away 28.8?\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/6 - 57*u**4\/2 - 4471*u**3\/6 + 8437*u**2\/2 - 21020*u\/3 + 3562 = 0. Calculate u.\nAnswer: -137, -39, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 582 + -382. Suppose 520 = 3*t + 2*t + v, -r = -2*t - 2*v. Calculate the greatest common divisor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-14)\/(-63) - 212\/(-18). Suppose 3*d + 96 - t = 0. Is d\/(-98) + 248\/14 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 77667.\nAnswer: -2\/77667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25275 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -0.09?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (304\/136 - (-72)\/(-306))\/(4522\/567 - 8)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66461202 (base 7) in base 10?\nAnswer: -5729229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 + 2*x - 9. Let s be u(6). Suppose -5*q = 5*a + 50, 7*a - s*a = 3*q + 16. Let d = q - -10. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3037 (b) -9 (c) 0.4 (d) -2 (e) -0.5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 11*x - 432 = 0. Is 71 a factor of 8950\/18 - 32\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(704) + 1 + sqrt(56)\/sqrt(8) + 4*(1*sqrt(112) + (sqrt(448) + 0 + sqrt(7))**2))*-5.\nAnswer: -11345 - 685*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 43, 36, 29, 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.1 to the nearest integer.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:44 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21434449853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -313 - 2*k**2 - 392 - 132*k + 132 - 131*k + 264*k in the form f*k + m + c*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4176 by -87.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -0.3, -2, 0.3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -43, -80, -107, -118, -107, -68, 5, 118?\n\"Answer: c**3 - c**2 - 41*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/180 + u**5\/24 + u**4\/8 + u**3\/2 + u. Let j(n) be the second derivative of x(n). Determine j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - 264\/42. Find the common denominator of 7\/10 and 9\/k*(-136)\/27.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -36*i. Let k(o) = 522*o. Let q(a) = 5*k(a) + 72*n(a). Let b(x) be the second derivative of 3*x**4\/4 + x - 48. Give b(q(h)).\nAnswer: 2916*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + (sqrt(84) - 1*sqrt(84)) + sqrt(84)))*6 + sqrt(84) - (sqrt(84) + sqrt(84)*2*6))\/((2*sqrt(96))\/(sqrt(32) + sqrt(96)\/sqrt(3))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (178\/(-4))\/(2 + 5\/(-2)). Let v = w + -89. Solve 2*m + 2*m - 2*d - 4 = v, d = -2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.145 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105702 and 753294?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200051 - -3?\nAnswer: 200054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13261 + 13305. Let a = -24 + 34. What is the least common multiple of d and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15725 - -aba?\nAnswer: -14827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -116. Solve w*a + 2 = -8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 1*(0 + -1). Suppose z - 5*t - 144 = 0, 2*z - 129 = -t + 148. Suppose r = -2*h + z - 19. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 54, 4, 1.\nAnswer: 1, 2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 36*l**3 + 697*l**2 - 582*l - 2446. Calculate g(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188.1 + 45.1. Let l = i - -143.61. Round l to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5260509 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1144)\/(-143))\/(6*-1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:23 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32409 by -311.\nAnswer: -32409\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(0 + 1 + 5). Suppose -2*v = 2*x - 10, 3*x + 5 = 2*x - 3*v. Let r be 4\/x + k\/(-5). Let t(p) = p**2 - 2*p - 1. Calculate t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/5)))**(2\/103)*s**(-2)\/(s*s**(3\/5)))**(-7) assuming s is positive.\nAnswer: s**(2590\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 11*n**2\/2 + 4*n + 8. What is the tens digit of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raffrarrammmalasmlaa. What is prob of picking 1 s, 1 a, and 2 f?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -383440968, -383440967, -383440966, -383440965, -383440964?\n\"Answer: v - 383440969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05155398015 rounded to three decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 1293 + 4365 = 0. Let c be ((-9)\/6)\/((-176)\/p). Suppose -50\/11*b**5 - c*b**3 - 32\/11*b + 160\/11*b**4 + 0 - 128\/11*b**2 = 0. What is b?\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*q**2 + 7*q - 254*q**2 - 262*q**2 + 682*q**2.\nAnswer: 3*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -608, -609, -610, -611?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 0.096.\nAnswer: -3.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/4 (b) 9 (c) -0.05 (d) 0 (e) -127904 (f) -0.2 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-345)\/(-45))\/((-3)\/(-4860))?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*g + 374*g + v = -14, -3*g = v + 18. Let d(f) = 2 + f**3 - 4*f - 2*f**2 + 5*f**2 + f. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 3*g**2 - 4*g - 9*g**2. Let t(f) = 3*f**2 - 5*f + 5. Let r(b) = 5*b**2 - 8*b + 8. Let z(q) = 5*r(q) - 8*t(q). Give o(z(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8)*22 + (-5)\/10. Suppose -5*u + g = -2*g, k*u + g = 0. What is the second derivative of u*c + 0*c**5 - c**5 - 5*c - 22*c wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 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: What are the prime factors of 409676161?\nAnswer: 23, 491, 36277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1839 + 6*n**2 - 5501 + 1821 + 1841.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 1*(7 - 8)*-11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -1. Let h(w) = w - 7. Let j be h(l). Suppose -6*a + a = -3*m - 14, -j*m = -a. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 415*n**4 + 44*n**2*x + 156600*x wrt n.\nAnswer: 1660*n**3 + 88*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, -11, 0, -3, -94, 2 in increasing order.\nAnswer: -94, -11, -4, -3, 0, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 + 4*t + 7. Let p be z(5). Let s be -4 + (p - (-2 - 0)). Suppose s = 5*x - 38 - 147. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/r*(r\/(r\/r**(-1\/8)))\/r*r**(9\/5)*r*r**(1\/4)*r*r assuming r is positive.\nAnswer: r**(117\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 14*z**3 - z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.08 - -6.08. What is the smallest value in 0, 2, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.688619018957.\nAnswer: 1.311380981043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + m**2)*(2*m**3 - 2 + 2) - 3*m**5 - 4*m**5 + 5*m**5 - 4*m**5 - 4*m**2 + 4*m**2.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:39 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -28*z - 20. Let j(t) = -13*t - 9. Let q(n) = -9*j(n) + 4*l(n). Suppose 2*h = -8*h - 20. Calculate q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118944508 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**3*d**2*w**3 + 454*a**3*d*w**2 + a**2*d*w**3 + a*w**3 + d**2*w**3 wrt d?\nAnswer: -18*a**3*w**3 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 3*m**2 - m - 2. Let f be p(-3). Let n be (26 - 4) + f\/1. Let i = 143 - 28. Calculate the greatest common factor of n and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 9, 0.3, 3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-835)\/165 - (1 + 0 + -6).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32858286425946\/905689 - -36279878. Let f = d + 31663793161\/7245512. Let w = f + -4358. Calculate the common denominator of -17\/6 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.9764742 to 2 dps.\nAnswer: 123.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (20 - 0)\/2. Let h(x) = -c*x + 7*x + 0*x**2 + x**2 - 1 + 6. Give h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1624 - 1624 - 3*a**3)*(-3*a + 3*a - 5*a**2) - 3*a**2 + a**5 + 3*a**2.\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15829\/234 + 987\/13. Find the common denominator of f and -87\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyyybwjwbjyj. Give prob of picking 1 b and 2 y.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:19 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 3\/16 (c) 1\/341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -181, -413, -645, -877, -1109, -1341?\n\"Answer: -232*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2817464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {p: 1, d: 5, l: 3, y: 3, b: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r - 4, -2*c = 4*r - 154. Suppose n - 4 = c. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -23*l + 74. What are the prime factors of o(-17)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 56*z = 36*z + 1204 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/150 and 39\/350.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*t**2 - 74*t**2 - 86*t**2 - 78*t**2 + 330*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 4*i, -4*i + 18 = -4*m + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18123298811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4bd (base 15) to base 6\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -382*a**3 - a**2 + 9*a + 876. Let u(t) = -96*t**3 + 2*t + 219. Let r(l) = 9*u(l) - 2*z(l). Differentiate r(o) with respect to o.\nAnswer: -300*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.01111 meters in centimeters?\nAnswer: 901.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(13 + -20 + 5). Let s(d) be the second derivative of -14*d + 1\/84*d**4 + 0*d**n - 1\/42*d**3 + 0. Find q such that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*i + 272 + 3763 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/4)*b*b))\/(b*(b*b**(-3\/7))\/b*b)*(b\/(b**6*b))\/b**(-3))**21 assuming b is positive.\nAnswer: b**(-447\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88861565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 - (-1 - 0). Suppose 0 = -d*b - 3*b + 15. Suppose 21 = -2*z + b*z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, 43336 in descending order.\nAnswer: 43336, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.179+34.895427\nAnswer: 34.716427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1398, -561, 278, 1119, 1962, 2807?\n\"Answer: t**2 + 834*t - 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.96 times 1.94?\nAnswer: -199.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*h + 48*h - 82*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**4 - o**4 + 5*o**4)*(456 + 264 + 361) to the form n*o**2 + m*o + a*o**4 + d*o**3 + i and give a.\nAnswer: 2162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/1071, 2\/25, -0.5, -3, -13\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41019146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2623*n - 322633. Give o(-123).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = 0. Suppose 2*g = -h*g. Suppose -p - 61 + 176 = g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.72007?\nAnswer: -3.60035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-14))\/(((-2)\/(-7))\/(-1)). Is f\/(-4)*-2 - -48 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d07 (base 15) to base 14\nAnswer: -3758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -558548.5 and 4.\nAnswer: -558544.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000296071 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 36 = -4*w, 7*g - 32 = -4*w + 3*g. Solve 0*i - 3*i = 2*x - 7, -i + w*x + 7 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63000 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -6\/17 (c) 4126 (d) -2\/59 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(176) + -5)*-4 + -5)**2*-6 + 0 + -3 + 5.\nAnswer: -19060 + 3648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/23 + -25\/161. Which is the nearest to 2\/19? (a) 1 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**7\/2520 + q**6\/80 - q**5\/120 + 5*q**4\/8 - 11*q**2. Let i(x) be the second derivative of y(x). Calculate i(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-16)\/(-12))\/((-4)\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 2*r - 7. Let c be p(-5). Let z be (-2)\/((-18)\/70 - (-7)\/(-49)). Suppose -c*b = -z*b. Let i(y) = y**3 - y**2 + 15. Determine i(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -8.5. What is the nearest to 2\/5 in t, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) -0.48 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -120, -156, -184, -204?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, w: 3}. Give prob of sequence qw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 3\/10, 1.05, 5, -1\/11, 8, -0.3?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -275.448 + 275. Let z = 0.194 + -6.952. Let s = w - z. Round s to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/27 + -1 - (-2)\/9. What is the nearest to 2 in -1\/4, 23, p, 20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 342*j**4 - 11730*j**3 - 28624*j**2 - 22120*j - 5568 = 0. What is j?\nAnswer: -1, -2\/3, 696\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 2752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*q**3 + 10*g**3*q + 2*g**2*q**3 - 5*g*q**3 - g + 9 wrt g?\nAnswer: 12*g**2*q**3 + 60*g*q + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/32)\/(j*j**(-4\/9)))\/(j*j*j**(-2)*j**(-21)*j) assuming j is positive.\nAnswer: j**(5591\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*-1*(-2)\/(-46). Let q = 0.1357 - 182.1357. Let c = -181.7 - q. What is the biggest value in -1\/9, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 32880*d**3 - 98622*d**2 + 98616*d - 32871 = 0. Calculate d.\nAnswer: 1, 10957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzzz when four letters picked without replacement from {z: 7, l: 3}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3938172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 9*n + 40. Determine w(30).\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3135931\/672 - 14000\/3. What is the common denominator of 7\/4 and d?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18531, -18533, -18535, -18537, -18539, -18541?\nAnswer: -18543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/4 - 185*i**4\/2 - 187*i**3\/2 + 277*i**2 + 1853*i\/4 + 371\/2 = 0. Calculate i.\nAnswer: -1, 2, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2. Let b(s) be the first derivative of 87*s**2\/2 + 4890. Calculate h(b(t)).\nAnswer: -7569*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -264.1545 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/25)*l)\/(l\/(l**1\/l)))\/(l**(1\/6)\/l*l**0*l*l) assuming l is positive.\nAnswer: l**(-163\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5241 (base 10) in base 15?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.777, -0.5, 20390?\nAnswer: -7.777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*c**2 - 174*c**2 - 175*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18234847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -13. Let v(m) = 2*m**3 + 8*m**2 + 6*m + 5. Let u be v(-5). Let y = u + 91. What is the smallest common multiple of y and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - q = 3*n - 6, 4*n - 45 = 3*q. Let z(c) = -c**3 + 9*c**2 + 4*c - 34. Let p be z(n). Let a(o) = o - 1. Let b be a(6). Solve -b*i + p = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -2*z - b, 4*z - 3*b - 70 = 0. What is the remainder when 29 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-5)*(-20)\/6. Let g be (-2)\/3 + h\/36. Which is the nearest to 1\/3? (a) 1 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 238546 - 147086. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**8\/168 + x**6\/6 + x**5\/15 - 7*x**4\/12 + 15*x**2. What is the third derivative of h(o) wrt o?\nAnswer: 120*o**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**6 + 1019*b**4 + 390*b**3 + 100903*b**2 + 9 wrt b?\nAnswer: -240*b**3 + 24456*b + 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 18. Suppose 2091 = -8*k + 2155. Determine j(k).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 16915086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from htttthtttt.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-54))\/(8\/48))\/(15\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118155, -472440, -1062915, -1889580, -2952435?\nAnswer: -4251480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -36 + 6. Suppose 2*h - s = 5*d + 4, 0 = 4*d - h + 14. What is the nearest to 2\/7 in d, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*b - 30522, -3*s - 36*b + 91576 = -32*b. Does 68 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4*m*u**2 - 53*l**4*m - 2*l*m + l*u**2 + 3*l*u - 6*u**2 wrt l?\nAnswer: 12*l**2*m*u**2 - 636*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Suppose 0 = -2*q + 4*q - 8. Let v be j(q). Let t(s) = -11*s + 2. What is the remainder when t(v) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(110\/4*(-44)\/(-440)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0341227266 rounded to 5 dps?\nAnswer: 0.03412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 113*g**2\/2 + 11421. Let c(a) be the third derivative of -a**4\/12 + a**2. Give c(j(y)).\nAnswer: -226*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z + 2. Let t = 9 - 8. Suppose 0 = -2*c + 4. Put z, c, t in descending order.\nAnswer: c, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1\/16*i**4 - 1\/8*i**3 + 15*i + 9\/2*i**2 + 0. Determine m so that j(m) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 = -10*p - 3*y, 29424*p + 166 = 29420*p - 2*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, h: 2, l: 2, f: 2}. What is prob of sequence llh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 2*r**2 - 663*r - 4275. What is j(-7)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951 greater than or equal to 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 916*m - 1060*m + 6 - 1385*m + 14 - 19 to s + a*m and give a.\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113197*g**2 + 1 - 113198*g**2 - 1.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 327*s - 17*s + 339*s.\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*d + 177768 = -278*d + 2*l, 5*d - 444432 = -l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*a + 151*a - 23648 = -185*a for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + 2*a)*(-3 - 2*a**2 + 3)*(2*a + 2*a + a).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-72)\/30)\/(37\/(8880\/(-72)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*n**4 - 88*n**2 - 859*n - 83?\nAnswer: -864*n**2 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/1 + 990\/231?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -337, -509, -681?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1053) - ((sqrt(1053) + 1)*-5 + sqrt(1053))) + -5 + ((sqrt(1053) + (-1 + sqrt(1053) - sqrt(1053)))*1 - (2 + sqrt(1053)*-2)))**2.\nAnswer: -864*sqrt(13) + 67428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18238 + 18243. Solve 4*w - l*x + 14 = -20, -2*x = 5*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 + -10 - ((-3 - -6) + -13))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/18 + 11 + -10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*s**4 + 40*s**3 + 20*s**2.\nAnswer: -5*s**2*(s - 2)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356024327, -356024326, -356024325, -356024324, -356024323, -356024322?\nAnswer: -356024321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-10)\/w)*w*w)*w*w**(-41))\/(w**4*w**(2\/59)) assuming w is positive.\nAnswer: w**(-3365\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from aoaaooaooooooooooooo.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14318 * 165\nAnswer: -2362470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = 27. Let j(c) = 2 - 9 - 4*c**2 + 10*c + 17 + 13. Let p(k) = k**2 - 3*k - 8. Let r(d) = z*p(d) - 2*j(d). Determine r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3285)\/(-54)*(-3)\/250 and -33\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -32. Sort 9\/7, -2\/5, i in increasing order.\nAnswer: i, -2\/5, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 165 = -0*r. Suppose 183 - r = -5*n. Let w = -12 - n. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = w - 55206, -5*w - 110028 = 4*o - 386064. What are the prime factors of w?\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4112 - 4131) + (-1 - 0 - -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.6 + -6.4. Let j = -36.8 - k. Let i = 1.8 + 0.2. Which is the third biggest value? (a) i (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -110*k + 58. Let u(s) = 326*s - 168. Give -4*u(o) - 11*x(o).\nAnswer: -94*o + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 366*x - x**2 - 367*x + 3*x**3 + 9 - 9 + 2*x**4 to the form s*x**2 + d*x**3 + l*x**4 + u + j*x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 = -20*d + 28*d. Let n = d + -104. Let b = 79 + -25. What is the remainder when b is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 126\/(-25) + 5 + 0. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.69 - 1.69. Let t = 52 - d. What is the nearest to 2\/5 in t, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4797318 is divided by 1599102?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138951.9 months in millennia?\nAnswer: 11.579325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -202*r - 1409. Let p(w) = 151*w + 1064. Let o(x) = -9*p(x) - 7*q(x). What is o(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -838 - -837. Is d greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 3*p**2 - 1. Let z(t) = -17*t**3 + 19*t**2 - 7. Let h(x) = 6*l(x) - z(x). Let q(a) = -a**3 + 4*a**2 - 1. Let j be q(4). Give h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(3685\/(-1072)))\/(4\/20).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2345786825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -24 + 7*l**3 - 9*l**2 - 17*l**3 + 5*l + 2*l**2 + 9*l**3. Let q be o(-8). Solve 0 = -5*z - q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (-41 + 25)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 - -190. Let b be (2\/6)\/(c\/(-42) + 0). Solve 0 = -4*r - r - b*y + 2, 3*r = 3*y - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9.4. Let t = g + 0. Let z = -0.9 + t. Which is greater: z or 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3268*v + 954. What is the remainder when u(0) is divided by 931?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 6*m - 11. Let c be p(-7). Let o be 0 + 9\/(c\/(-40)). What is the second derivative of -211 + 18*r + 211 - o*r**5 wrt r?\nAnswer: -400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65*-0.088\nAnswer: 5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86906792 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/3 + 14*n. Let v(u) = 7*u. Calculate a(v(t)).\nAnswer: -196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 11*f + 26. Let k be o(9). Calculate the greatest common factor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*s = 12, 2*y = -5*s - 21 + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 + n + n - 2*n**3 + 6 + 0 - n**3. Let z(f) = -4*f**3 + 7*f**2 + 2*f + 7. Let d(j) = 7*o(j) - 6*z(j). Find the second derivative of d(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 537020617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 21*z + 66. Let c be p(-17). Let v be (c\/(-4))\/(74\/12 - 6). Solve -b - 4 = -v*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629*o - 33 = -3632*o - 6*q, -o = -2*q + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103291, -826689, -2790143, -6613681, -12917331, -22321121, -35445079?\nAnswer: -52909233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13640026 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17946009097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18\/(j*j\/j**(-2\/9))*(j*(j*j\/j**(-5))\/j)**(-6\/7) assuming j is positive.\nAnswer: j**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.08 - 0.08. Let y be (-10)\/14*(17 - (-1827)\/(-105)). What is the third biggest value in 0.2, y, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2113327*c - 2113327*c - 457*c**4 + (2*c**2 + 0 + 0)*(-c**2 + 3*c**2 + c**2) in the form n + b*c**3 + d*c**2 + m*c + z*c**4 and give z.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 1386.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-1)\/42*-1). Let p = -1 + u. Suppose -5*r + p = 3*a, 4 = -5*a - 0*a + r. Solve 5*n - 2*i - 20 = a, -2*n = 3*i + 2 + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1319 in 2, -6, 1, 4\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5\/3*j**3 - 5\/2*j**2 + 5*j + 7 - 1\/4*j**4. Determine x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(1 + 13 - 4)*(a + 3*a - 3*a + (0 - 1 + 3)*(6*a + 0*a + 3*a)).\nAnswer: 570*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 365.\nAnswer: -25.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (1 + sqrt(1377)*2 + sqrt(1377) + -4)**2) + 4.\nAnswer: -74384 + 972*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1873844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 - -69. Let t = s - 412. Which is greater: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 14*s - 12. Suppose -26*w + 27*w = 5. Let g be x(w). Suppose 0 = g*v + v - 1116. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from zpqlpszlqpxszpzllpql.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 845, -31\/5 in increasing order.\nAnswer: -31\/5, 0.2, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96784337*a**2 - 501850456.\nAnswer: 193568674*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75894 and 270816.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/4 of a milligram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22189 (b) -0.097 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {w: 2, e: 2, n: 9, k: 5}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011021 + 22?\nAnswer: 1011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + (-128)\/(-24). Suppose -i = -2*h - 3*h. Sort -3, 5, h in descending order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (382 + -327)*(-9)\/(-99).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 + 6*a**2 - 11*a - 1. Let j(m) = 4*m**3 - 7*m**2 + 10*m + 1. Let x(h) = -4*j(h) - 3*l(h). List the prime factors of x(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -o + 16, 7 = 2*o + 10*a - 7*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6812633 meters to millimeters.\nAnswer: 681.2633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112629 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2109*k + 232322. Determine b(-110).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12793*g**5 - 330100993*g + 330100993*g + (-g**4 + 3*g**4 - g**4)*(-g + 5*g - 2*g).\nAnswer: 12795*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 54*r - 56*r - 3 in the form p + d*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 17*t - 17. Let y(g) = -g**2 - 17*g + 18. Let l(j) = 3*a(j) + 4*y(j). Let c be l(-18). Suppose v - c*v = -206. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 8) in base 4?\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01483007412 to 6 decimal places.\nAnswer: -0.01483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228858270.\nAnswer: 2, 3, 5, 7628609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 30 + 12 = 0. Let i = b + -47. List the prime factors of (-3)\/5 - i\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10400 and 19200.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24251630 rounded to the nearest 10000?\nAnswer: -24250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83198467401 + 83203972948.00027. Let j = -5505518 + k. Let o = -29 + j. What is o rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 + 9. Let f be l(-7). Let p be ((-1 - f)*-1)\/2. Suppose 749 = 5*q - 3*t + 178, 0 = 4*q - p*t - 449. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*y - 4 = -2, y = -j. Let m = 4 + -4.5. What is the closest to -2\/5 in j, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 52*r**3 - 108*r**2 - 388*r - 224.\nAnswer: -4*(r - 8)*(r - 7)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-140) + (-396)\/880.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 2, v: 2, w: 1, u: 1}. What is prob of sequence vmum?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 + 24. Suppose -2*j = -4*j - 6. Let u be (-1)\/(1\/j) + -3. Calculate the remainder when 46 is divided by s(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.26573l in millilitres?\nAnswer: 5265.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.3 - -0.28415.\nAnswer: -6.01585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34587607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5304 to two dps.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, v: 3, u: 2, o: 4}. Give prob of picking 2 v, 1 o, and 1 n.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*h*z + 11*c*h + c*z + 27*c - 1203*h*z - 6*h wrt c.\nAnswer: 2*h*z + 11*h + z + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000085763 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - g - 20 = -0*g, -3*t = 4*g + 5. Suppose -t*r - 148 = -4*m, 54 = 3*m + 5*r - 22. What is the remainder when (-2)\/6 - (-4)\/6*m is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 1, -1.009, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*v + 107240, 3*m - 38970 = -2*v + 14674. List the prime factors of v.\nAnswer: 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, 2 in increasing order.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - h)*(3*h - 2*h + 10 - 4)*(-16 + 7*h**3 + 16).\nAnswer: 14*h**5 + 84*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -5*u**2\/2 + 806. Suppose 4*w + 2 = -0*y + 2*y, 2*w - 3*y = 5. Determine j(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/18? (a) 1\/5 (b) -2\/7 (c) 2 (d) -3 (e) 0.5 (f) -19.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 4*q - q**2)*(-2*q - 8 + 7*q - 3*q) to the form y + b*q**3 + o*q + i*q**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11033108 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1054+-1\nAnswer: -1.1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262891549 to the nearest integer?\nAnswer: 16214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k**3 - k)*(3*k - 4*k + 0*k)*(1 - 1 + 1)*(-1605 + 790 - 1363).\nAnswer: -6534*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 11 = -3*b, -2*h - 3*b = -h - 14. Let m = -11590 - -11998. Suppose m = h*n - n. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let m(r) be the second derivative of r**7\/1260 + 2*r**4\/3 - 9*r. Let x(c) be the third derivative of m(c). Determine s(x(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2 + 3912*n**2 - n - 1943*n**2 - 1957*n**2. Let h(x) = 12*x**2 - 1. Calculate 3*g(d) - 4*h(d).\nAnswer: -12*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -336*d. Let i(y) = -20*y**2 - y. Calculate c(i(k)).\nAnswer: 6720*k**2 + 336*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 24406.2.\nAnswer: -24406.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyywbbyywwb. What is prob of sequence bbbw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.47327 from -8.65.\nAnswer: -8.17673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + 192*v = -15*v + 448*v - 1206 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -13 + 15 + 210\/49?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13635187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5009445, 10018888, 15028331?\n\"Answer: 5009443*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 7*i + 198. Let m be (2*-1)\/2 + (71 - i). What is the greatest common divisor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (112 + -41 + -70)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -430*a**2 + 277*a**2 - 351*a**2. Let f(c) = -6*c**2. Determine q(f(j)).\nAnswer: -18144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2*t - 9*t - 6 + 14*t + 12*t.\nAnswer: 19*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -241341202 (base 5) in base 2?\nAnswer: -100010001110010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 19184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (244515*s + 2 - 122233*s - 122255*s + (5 - 2 - 4)*(-3*s + 0*s + s) - 3*s + s + 4*s)*(2 + 0*s + 2*s + 0*s) to the form c*s**2 + w*s + z and give w.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 20302464.\nAnswer: 60907392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**2 + 13*i + 7. Let l(p) = -9*p**2 + 6*p + 3. Let u(w) = -13*l(w) + 6*z(w). Let h be u(2). Calculate the greatest common divisor of h and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2883349*a**2 + 2*a + 2883371*a**2 - 5766719*a**2 - 2*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 + 4*c**4 - 2*c**3 - 8*c**2 + c + 4 = 0 for c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-4 - -1) - ((-12 - -8) + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2719 = 3*u + 5*x, u - 32*x = -29*x + 897. What are the prime factors of u?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + 15\/(-30). What is the second biggest value in i, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16 - 8) + (-46585)\/5790 and 23\/6.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2610 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16177, -32955, -49731, -66505?\n\"Answer: c**2 - 16781*c + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -36389.63853 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b16c76 + 5?\nAnswer: b16c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*i = -7 + 65, 3*i - 45 = -3*s. Let r(m) = 3*m + 5. Let w be r(4). What is the greatest common divisor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 0 in decreasing order.\nAnswer: 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4, -180*j - 36 = -4*n - 178*j. Let h be (-6)\/4*(-8)\/6. Suppose -20 = 3*d - n*d, -13 = -h*s + 5*d. Solve -3 = -4*g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.4 - -8?\nAnswer: -243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z - 2*k, -2*k = 4*z - 3*k + 6. Let o be 12\/32*z*(-3 + -1). Solve -o*y = 14 - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(4\/11)*p**(-1\/2)\/(p**(-8)*p) assuming p is positive.\nAnswer: p**(159\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 84490 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 240712 = 2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5893e + 4d7?\nAnswer: -58467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z + 38. Let l be g(3). Let v be -2 + 5 + (0 - 0). Solve l*s = -1 + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -377231 divided by 25\nAnswer: -377231\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68774490 a multiple of 6522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49746*b - 48 = 49722*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3555 = c - 16*c. Let t = c + 272. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 47780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4\/3 + 2450*f**3 + 141775*f**2\/3 - 158900*f + 327580\/3 = 0. Calculate f.\nAnswer: -22, 1, 2, 1489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*f + 14 = -0*u, 3*u = -f - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:02 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/33752264 and -29\/1092?\nAnswer: 101256792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -28. Let k(i) = i**2 + 200*i + 1209. What is the remainder when k(-6) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 13 = -3*d, -d - 1 = 3*t - 2*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 7 + z**2 + 3 - 1 as n*z + w + x*z**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399634415?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3464178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/72 + a**3\/36 + a**2\/6 + 8*a + 10. Let l(o) be the first derivative of y(o). Determine q so that l(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027 divided by -55999?\nAnswer: 1027\/55999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*q - 535*q - 541*q + 2130*q - 535*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.97111 + 0.02889. What is the closest to -3 in 50, u, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82698, 165400, 248102, 330804?\n\"Answer: 82702*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose -r*q - 4*y = -q - 12, 2*y = 3*q + 6. Suppose 5*n = -5*b - q*n + 205, 0 = 3*b - 2*n - 103. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**2))\/(a**(2\/13)*a)*(a**(4\/9)*a)\/a**(4\/5) assuming a is positive.\nAnswer: a**(1457\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a8 + -1552?\nAnswer: -284a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 56. Let h be q(-18). Suppose -3*s + 524 = c, h*c - 3*s = -2*c + 2111. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25901 + 12852. Round v to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13861 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: Subtract 204010.258 from 4.626.\nAnswer: -204005.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1150293 (base 10) to base 4\nAnswer: 10120311111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 238 - 1651 + l**2 as x + h*l**2 + o*l and give x.\nAnswer: -1367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*g = -27 + 11, 4*g = k + 26. Let z(p) = -17*p**2 - 36*p - 5. Give z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -6*m + 240. Let s(o) = -2*o**2 - 37*o. Let v be s(-18). Calculate the highest common factor of v and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o - 5. Suppose -4 = -2*w - 2*q, -o*w + 1 = -3*q - 1. Let z be (-3)\/9 + 1\/12. Is z greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 5. Let d be s(-4). Let r = 2 - 0. Suppose -d*k + 7*z + 34 = 2*z, 25 = r*k - z. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4249*c**3 + 4255*c**3 - 8502*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 764077 and 3153?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*n - 4*i + 17 = -252*n, 0 = -4*n + 4*i - 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -29*c - 23. Let y be r(-1). Let n(t) = -t**3 + 12*t**2 - 33*t - 18. Let x be n(y). Is 52.5 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 10*v**3\/3 - v - 3. Let x be i(-1). Let a be (-1387)\/(-38) + (-7)\/14. What is the highest common divisor of a and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184992 - -56607611\/306. Calculate the common denominator of q and 61\/20.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/20 - z**4\/4 + z**3\/2 - 5*z**2\/2 + 17*z. What are the prime factors of q(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (80335000\/(-150) + 2)*6\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1236 (c) -3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 7, u: 5}. What is prob of sequence kut?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5353583, 5353571, 5353545, 5353499, 5353427?\n\"Answer: -l**3 - l**2 - 2*l + 5353587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwddddiiiiiiiddiii. Give prob of sequence iiiw.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*o**3 + 2*o**3 + 2.\nAnswer: 11*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjqqjjjqq. What is prob of sequence jj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*n = 2*n + 526, 5*t - 4*n = 508. Suppose -2*m = -6*m + t. Calculate the greatest common divisor of 286 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -27472\nAnswer: 19\/27472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bac29 (base 16) to base 13.\nAnswer: 4b6606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2051 - 87*d - 4103 + 2078 as o*d + u and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(1845\/(-12))*-3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 0.55\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/3 + 4*l**2 + 4*l + 2. Let u be ((-1)\/(-2) - 0)*-10. Give w(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1312 (base 5) to base 9\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 6*f**2 + 8*f + 9. Let v be y(-7). Suppose -2 = 3*t - 8. Let k(i) = 2*i - 5*i - 3 + 3*i**2 - v*i**t. What is k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 2*b - 1. Let j be h(3). Let k(o) be the first derivative of 5*o**2\/2 - 3*o + 3. Calculate k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 957674*y\/9 - 957676\/9.\nAnswer: 2*(y - 1)*(y + 478838)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 856696 and 35984?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*(-4)\/(-9))\/(20\/150). Calculate the highest common divisor of 40 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1093 (base 10) to base 3.\nAnswer: 1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*v - 214*v = 3*l + 91, 0 = l - 0*l - 4*v - 31 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 23108.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*w - 4*n, -n = -w - 4*n + 15. Suppose -4*f - 4 + w = 0. Let b be 2\/1 + 2\/f. Solve -5*r + r = b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2226305*z**4 - 3*z**3 + 386*z**2 - 54*z + 33 wrt z.\nAnswer: -53431320*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48031567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/5040 + v**6\/360 - v**5\/60 + 2*v**2. Let r(b) be the third derivative of q(b). Let d be 9\/((-27)\/21) + 9. What is r(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-5 + 5)) + (-17 - -1 - (-749 + 725))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17328 + 17332. Sort -762, -2\/17, j, -3, -4.\nAnswer: -762, -4, -3, -2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1019 - 1010. Solve r = -4*x + 12, 0 = -2*r - w*x + 7*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 4, n: 2, h: 1, w: 3}. What is prob of picking 1 w, 2 n, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(-2 - 11*k + 2)*(5 - 5 + 8*k) + k**2 + 2*k**2 + 0*k**2 as z + p*k + d*k**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1586 + -157. List the prime factors of n.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -3*a, 4*c - a = 55. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -22.7?\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**8\/240 + y**6\/36 + 8*y**3\/3 - 3. Let i(f) be the third derivative of v(f). What is the third derivative of i(r) wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -28*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 682 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 2. Let d(f) = 8*f - 69. Let h(k) = d(k) + 5*m(k). What is h(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30114.156989 - 5?\nAnswer: -30119.156989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 9*j + 7. Let z be u(-5). Suppose -z*k + 638 = -2*p, 2*k - 5*p - 955 = -k. Suppose 0 = 7*x - k + 5. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16.9 and 0.19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22776 by 6.\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3770 and 119\/2254170.\nAnswer: 29304210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 6, b: 2, s: 9}. What is prob of sequence ss?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1697 and 248764927?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/(-9) + (-2)\/(-6). Let d(l) = -l**2 + 3*l + 7. Let i(b) = -3*b**2 + 7*b + 15. Let a(r) = 5*d(r) - 2*i(r). Give a(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -86 + 111 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 28081700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3838*y - 1917*y - 1919*y + 891*y**3 - 1256 wrt y.\nAnswer: 5346*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o + 2*o + 0*o)*(-o**2 + o - o) + 3*o**3 + 0*o**3 - o**3 + (-3*o - o**2 + 3*o)*(4*o - 3*o + 0*o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477*g = -472*g - 100. Let l be (-2)\/16 + 7818\/(-48). Let t = 303 + l. What is the greatest common factor of g and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103031 (base 5) in base 7?\nAnswer: 13152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 14) to base 5.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -33, -119, -293, -585?\nAnswer: -1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o**2 - 132*o + 471. Calculate m(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168377*d**4 + 2*d + 3128 wrt d.\nAnswer: 2020524*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/6 - (-62)\/4 and ((-11)\/((-385)\/(-130)))\/((-11248)\/798 + 14).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 6*m**2 - 41*m**2 + 16*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z - z - 2*z)*(-2*z + 3*z - 2*z) + 31*z**2 + 47*z**2 + 44*z**2 to the form t*z + u*z**2 + n and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 + 40*u**2 + 165*u = 0.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6939.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 3*p - 2. Let q(o) = o**2 + 4*o - 7. Let z be q(-5). Calculate the lowest common multiple of 4 and x(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -178*l + 28. Let r be z(4). Let o be r\/12*1\/69. Let m = o - -505\/138. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -100?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/19 + 6*x**4\/19 - 18*x**3\/19 - 54*x**2\/19.\nAnswer: 2*x**2*(x - 3)*(x + 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -983745*o**3 + 31*o - 31*o + 983959*o**3.\nAnswer: 214*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130627160?\nAnswer: 2, 5, 53265679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r**2 - 18*r + 14. Let s(t) = 3*t**2 + 6*t - 5. Let i(h) = 4*l(h) + 14*s(h). Let g be (48\/10)\/(((-1428)\/(-105))\/(-34)). Is 26 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 371?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*k + 4, 0 = -3*l - 3*k + 27 + 6. Suppose -3*x + 7*x - l = 0. Solve -13 = 5*j + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98739, -135, -3 in increasing order.\nAnswer: -98739, -135, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t - 6. Let r(m) = -12*m + 7. Let l(o) = -6*a(o) - 5*r(o). Determine l(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1669 - 1669. Let c = 114879 + -52586. Suppose f = -3*n - 8*n + c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3486 = -9*x + 19995. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1857 * -1\nAnswer: -0.1857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.3317, 19, -1.1 in descending order.\nAnswer: 19, 5.3317, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 4, 5\/4, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 14*u + 63. Let f be a(10). Let n = -3.96 - -4. Put 0.4, f, n in increasing order.\nAnswer: n, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 736?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184 - -1665. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 0, 0 = 8*a - 3*a + 5*b - 95. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 4 - 4 + (0 + 1 + 3)*(2*t + 2*t - t) - 31 + 25 - 2*t + 20 to u*t + r and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 29. Let z be q(3). Let x(t) = -17*t**2 + 52*t**2 - z*t**2. Let l(o) = -7*o**2. Determine l(x(n)).\nAnswer: -1575*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -24, -46?\n\"Answer: -22*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 + 12*n**2\/5 + 21*n\/5 - 6.\nAnswer: -3*(n - 5)*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -232247.5 * 0.7\nAnswer: -162573.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -1067*d**4\/12 + 569*d**3\/6 + d**2\/2 - 1584*d. Find the second derivative of c(b) wrt b.\nAnswer: -2134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -358*z**2 - 7408*z - 86. Calculate n(-21).\nAnswer: -2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -110. Let z = -1693 - -1740. Let o = z + b. Let c(y) = -y**2 - 6*y - 5. What is c(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(2800))\/(5*sqrt(40)\/(sqrt(60)\/sqrt(6))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -59*u**2 - u + 1. Let w = -16 + 17. Let f be z(w). Is f\/(-1 + (-1 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22 - 0.18. Let i = 2 + 1. Suppose 1 = l + i. What is the third biggest value in b, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -28.4. Let k = 15 + l. Which is the nearest to 1? (a) 2\/9 (b) -3\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-21 + 10 + -12 + 14 - -12)) + -121.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 113*y - 17288. Let q be z(153). Let h = -2.6 - -0.6. Let v be 2 - 0 - 5\/3. Which is the nearest to h? (a) -1 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3\/4, -40, 1\/9, 95 in descending order.\nAnswer: 95, 3\/4, 1\/9, -3\/4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 4)*(-2*b + 5 - 5) + (2*b + 2*b - 3*b)*(-3 - 1 + 2) + 13*b - 21*b - 32*b in the form s + j*b and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l + 5*n - 22 = 0, l - 5*n - 18 = 0. What is the remainder when 15 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45396*b**2*y**4 + 463*b**2*y**3 - 5*b**2*y**2 + 30*b**2*y - 5*b*y**2 + 2*b*y - 1870 wrt y.\nAnswer: 1089504*b**2*y + 2778*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*z**2 - 520*z**2 - 977*z**2.\nAnswer: -1561*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26205796 * -0.12\nAnswer: -3144695.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 44*y**2 + 69*y - 494. Determine c(-41).\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 3. Let s(n) = 444653*n. Calculate b(s(w)).\nAnswer: -444653*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let s = 27 + -24. Find the third derivative of -2*x + s*x + 5*x**3 - x - 9*x**2 wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-30)*(-1 - -6). Let t(n) = -2*n**2 + 14*n - 9. Let j be t(k). Calculate the common denominator of 77\/4 and ((-330)\/25)\/(84\/j).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:06 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*b - 237*b + 147*b**2 - 146*b**2.\nAnswer: b**2 + 242*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3156, -3288, -3420?\n\"Answer: -132*q - 3024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -13, 295, 6, 5.\nAnswer: -13, -1, 4, 5, 6, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2200001 (base 5) to base 2\nAnswer: 1001001001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 934145646 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 24*h**2 - 29. Calculate z(24).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 10464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 47 + 8 = 0. Let m = a - 11. Solve 0 = m*k + 4*v + 24, -k - 11 = v - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 612*u**3 - 29*u**2 - 26*u + 13. Let p(m) = -153*m**3 + 7*m**2 + 6*m - 3. Let o(x) = 2*b(x) + 9*p(x). What is the tens digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 4*p - 7. Let w be b(6). Let i = 1 + -1. Suppose x - 4 = w*l + 1, i = -x. Is -1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -1687, 586 in descending order.\nAnswer: 586, 1, -5, -1687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 435648 to the power of 1\/2, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 29*j - 76. Let l be y(3). Solve -l = -n + 3*z + 2*z, 4*n - 5*z = 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 3\/5, 2\/15, -0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 + (9 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 466\/5 (b) 1\/8 (c) -2 (d) 0.12 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -93\/20*i**5 - 282*i + 0*i**6 - 1\/42*i**7 - 8\/3*i**3 + 0*i**4 - i**2 + 0. Find the second derivative of c(t) wrt t.\nAnswer: -20*t**3 - 558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 28\/19 (c) 1\/63 (d) 0.5 (e) -2 (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - -104. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*j**3 + 246*j**3 - 102*j**3 + 31*j**3.\nAnswer: 355*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2883 - 8845 = -v, -4*c - 11984 = -2*v. Let j = -2339 + v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 4*y + 7. Let a be b(2). Let x(c) be the second derivative of -1\/12*c**4 + 8*c - 1\/3*c**3 + 0 + 2*c**2. Give x(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 5*r - 16. Calculate d(6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x - 6. Let k be s(19). Let j be (8 - k\/(-20))*-2. Which is the third biggest value? (a) 3 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 36 = 4*r, -y - 4*r - 6 = 0. Let s(h) = h**3 - 6*h**2 + 7*h - 2. Let b be s(5). Suppose 2*v + b = y*v. Solve 0*q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*c - 5, 5*c + 19 = -3*b + 2*b. Let d(i) = -5*i**2 - 8*i. Let l(t) = 4*t**2 + 7*t. Let x(k) = -3*d(k) - 4*l(k). What is x(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a)*(a + 2*a - a)*(5 - 3 - 3).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3010 + 59889 = 23*x. List the prime factors of x.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4\/3 + 8*w**3\/3 - 8*w\/3 - 4\/3.\nAnswer: 4*(w - 1)*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-2)\/6*1. What is the third derivative of z + z**s + 3*z**5 - 3*z + 2*z wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j. Let d(p) = p + 9. List the prime factors of d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 - 1 = 0. Suppose 5*z = -3*s + 63, -j*z + 7*z - 9 = 0. Solve 0*n + 4*n = s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282284, -564672, -847060?\nAnswer: -1129448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2))\/(4\/8). Suppose 2*h + o*h = 20. Let l be (-24)\/(-18)*(-21)\/28. Which is the closest to l? (a) h (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3757, 5, 212 in decreasing order.\nAnswer: 3757, 212, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 32, 0, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((2\/6)\/(170\/(-153)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l + 4 + 4*l + 3*l + (-5*l + 2*l + l)*(3 - 5 - 2) + (2 - 2 - 1)*(0*l + 2*l - 4*l).\nAnswer: 9*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 37361 = 37517 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -55*k**3 - 3582. Let g(p) = -p**2. Calculate s(g(j)).\nAnswer: -165*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 84*d**2. Let v(s) = -s**2 + 5. Let n(b) = 20*b**2 - 50. Let w(i) = -n(i) - 10*v(i). Give w(h(o)).\nAnswer: -70560*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9474, 18419, 27366, 36315?\n\"Answer: s**2 + 8942*s + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(288)).\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)*v)\/(v*v**(-1\/2)*v))\/(v**(-1\/3)\/v)**(-2\/109) assuming v is positive.\nAnswer: v**(-335\/327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let p be (3 - 4)\/(i\/(-10)). Solve -2*d - 10 = -p*c + 5, 2*c - 5*d = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*sqrt(1584))**2.\nAnswer: -384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8051943.0606808 + 8052904.06. Let u = o + -961. Round u to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192.61 + 193. Is -0.2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*i + 2*d, 85*d - 89*d = -5*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*1*-6)\/(1*sqrt(4)*3 + (sqrt(20) + sqrt(20)*1)\/sqrt(5)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2818 + 9526?\nAnswer: 12344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 778739 or 0.2?\nAnswer: 778739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 smaller than 3\/307457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100357 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4147b + -b7?\nAnswer: -41576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2177 and 985559?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 2*t - 7, -4377*t + 3 = 2*r - 4374*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23835 times -4\nAnswer: -95340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 1674?\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2007*j - 37669. Determine i(-19).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:06 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 25*s - 14. Let t(r) = r**2 - 106*r - 2348. Calculate the remainder when z(18) is divided by t(125).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 2745618531.\nAnswer: 2745618534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 333934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-444)\/(-3885)*5*-2\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -52. Let a = -17 + p. List the prime factors of a + (2\/(-2) - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 1\/1580 (c) -3 (d) 3 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110172 + 31101 + 58082 - 16827 = 7936*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 28.67. Let k = -1.07 - r. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -0.4 (b) -37.9 (c) 19 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*b + 67 = 0, 13*f + 7*b + 12*b - 184 = 24*b for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -964 and -0.158.\nAnswer: -964.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfs when three letters picked without replacement from gsjfngfy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - 76. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, t: 1}. Give prob of sequence tgz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4\/7 + 968*n**3\/7 + 17364*n**2\/7 + 93328*n\/7 + 17840 = 0. Calculate n.\nAnswer: -223, -10, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 4735190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363965 and 51995.\nAnswer: 363965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -158a1 + 3c?\nAnswer: -15863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-270)*(-9810)\/(-20). Is u >= 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320)*1 + -5 + (-1*sqrt(320) - sqrt(320)) + ((2*sqrt(245) - sqrt(245)) + sqrt(245) + -1 - (1 + 0 + sqrt(245))))**2.\nAnswer: 12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 2*y**2 + y**2)*(33 - 3 + 13)*(1 + 0 + 1)*(189 + 128 - 63) to the form t*y**2 + a + o*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -201 (b) -2\/87 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -21*g**5 + 4950*g**4 + 1857*g**3 - 104370*g**2 + 69264*g + 28320 = 0.\nAnswer: -5, -2\/7, 1, 4, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:15 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 151 = -296 + 141 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 - 5*w - 4. Let c be d(3). Suppose 3*j - 5*a + c = 5*j, 0 = j - a. Let h be (j\/(60\/(-16)))\/10. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9736 - -9736.05. Which is the fourth biggest value? (a) 46\/9 (b) r (c) 5 (d) -4 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 - -2) + -3)\/4. Suppose 2*y + 2430 - 58 = x. Let z = y + 10688\/9. Calculate the common denominator of 85\/8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173747111 to the nearest integer?\nAnswer: 13181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzwywyywywwyw. What is prob of picking 1 w and 1 y?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -15. Let w = -1.4 - 12.9. Let o = -14 - w. Which is the closest to 6? (a) h (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190619638*k**3 - 95309697*k**3 - 95309761*k**3.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(-4))\/(212\/742*(-91)\/104)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 41*r + 26. Let m(x) = -2*x**2 - 40*x - 35. Give -4*b(u) - 3*m(u).\nAnswer: 2*u**2 - 44*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 105888*a + 529445. Calculate b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(153) + -2*sqrt(153)*2 - sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153)))\/(sqrt(45)\/(sqrt(5)*-2) - -1*sqrt(900)).\nAnswer: -40*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760787072.\nAnswer: 2, 827, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:37 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*s + 6)*((1 + 4 - 3)*(-s - 3 + 3) - s - 1 + 1 - 102*s + 21*s + 25*s).\nAnswer: -118*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 95301090.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-8 - 107) + (-30 + 11 + 22 - 3)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, s: 2, m: 5}. Give prob of picking 1 b and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6882 and 3?\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:59 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 - 41 + 16 - 162*x**3 + 16 - 245*x wrt x.\nAnswer: -972*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -82, -3 in descending order.\nAnswer: -1\/7, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 0.1. Let s be 6\/63*(15 + -18). What is the closest to s in j, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*10\/((-210)\/7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - 93. Let k(p) = -4*p + 25. Let l be k(7). Let a be l*((-80)\/(-6))\/(-4). Solve -3*q - a = j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:07 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(300) - ((sqrt(300) + sqrt(300) + -2 + sqrt(300) + -1 - sqrt(300) - sqrt(300)) + sqrt(300)) - (sqrt(300) - -3*sqrt(300))*1)*-3)**2.\nAnswer: -16200*sqrt(3) + 405486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g + 20. Let h be p(5). Let z be (h\/(-3))\/((-17)\/(-51)). Suppose -a + 6*a = z. Solve 4*x - 2*i = -10, 21 = -a*i - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**4\/6 + 3741*y**2 + 2. Let n(b) = 1224*b**2. What is n(c(d))?\nAnswer: 19584*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8111561867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75378 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvwwgtwvgdtddwnwv. What is prob of picking 1 w, 1 n, and 1 d?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r - r + 1245*r**2 - 1243*r**2 to the form q*r + g + k*r**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06727145 rounded to three dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(0 + 2 + 0)*(-15 + 20*x + 16 - 5*x) to d*x + p and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 82 and -10.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53340 (base 6) to base 10.\nAnswer: -7260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 23*j**2 + 44*j**2 - 18*j**2 + 3 + 0*j**3. What is h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*11\/(44\/24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 7. Let x(r) = -r + 1. What is -k(z) - 5*x(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 457, 703, 425, -635, -2735?\n\"Answer: -43*h**3 - 4*h**2 + 559*h - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.414958?\nAnswer: 1.414958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496 - 715. Let k = -206 - w. Solve -k - 2 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748286 and 3729.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - -29 - -51 - (12 + -7 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-19) + (-80)\/(-760)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6571*z - 6571*z - 38*z**4 + (7 - 1 - 2)*(-z + z - 2*z**4).\nAnswer: -46*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8*(1 - -11). Let u(b) be the first derivative of b**3\/3 + 3*b**2 + 2*b + 5. What is the units digit of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/21128 and -77\/26.\nAnswer: 274664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5 + (-36)\/(-5). Suppose 0 = -2*y - 118 + w. Let a = 60 + y. Solve -4*z + a = -7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = -k. Let d(m) = -3*m**2 - 1 - m**2 - 1 + k. Determine d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8565 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Suppose -5 = -2*r - 3, 0 = -p*d - 5*r + 81. Let l = 35 + d. What is the remainder when l is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 2)*(-81*o + 1316 - 1316)*(4 + 1 - 4) in the form n*o + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -154*y**6\/3 - 17*y**4\/12 - y**3\/2 - 2*y + 617. Find the third derivative of s(j) wrt j.\nAnswer: -36960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/((-8)\/24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {h: 11, p: 2, t: 1, e: 3, v: 1}?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 - 48 = -x, -3*x + 5*c = -167. Let h = 57 - x. Solve -6 = -2*l - h*z - 2, 0 = 3*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.6323 - 0.0323. Let q = m + -7.6. Let h = 32 - q. Which is the second biggest value? (a) -3\/4 (b) 2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 8*a = 0. Suppose 3*v + 2*v - 3*i - 46 = a, 5*v - 2*i - 44 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f*f\/(f*f*f\/f**4*f)*f**(1\/5)*f**3*f*f)\/((f\/f**(-1\/8))\/(f**(-3)\/f)*((f\/(f\/(f*f*f**(1\/3)\/f)*f))\/f*f)\/(f**(-1)*f*f)) assuming f is positive.\nAnswer: f**(929\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/(((-135)\/9)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -2 + (0 - 1). Suppose 3*o - 3 - 3 = l. What is the least common multiple of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, -0.4, 5, 2\/9, 1, 9, 32129?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(4*d - 4*d + 4*d**2) + d**2 - 6 + 6.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 + 33*l**2\/4 + 39*l\/2 + 12.\nAnswer: 3*(l + 1)*(l + 2)*(l + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 10850\nAnswer: 10809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7591 is divided by 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13693535750 to the nearest 1000000.\nAnswer: 13694000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -278*u**2 - 7*u - 414. Let y(w) = -139*w**2 - 4*w - 208. Let j(z) = -4*s(z) + 7*y(z). Differentiate j(c) wrt c.\nAnswer: 278*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 12*h + 9. Let p be k(12). Let g = p - 6. Find the second derivative of -4*t**3 + 4*t**3 - 5*t + t**3 - 4*t**g wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12082 + 0.13082. What is the fourth smallest value in -1\/4, v, 57, 0.2?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, -3, -3\/5, 7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -6 + (0 - -3). Suppose 10 + 2 = -p*r. Calculate the common denominator of 6\/9 - (-147)\/r and 43\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243480 = 30*s - 70*s. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1171, 4360, 9675, 17116, 26683?\nAnswer: 38376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-226)\/(-1122) - (-32)\/(-176)). Suppose q*d - 7588 = 44*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1170126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*r + 18 = 0, -2*k + 5 = -2*r + 3. Solve 0 = 2*f + k*h - 15, f + 8 = 5*h - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 49358*s. Let c(u) = -2*u + 862. Determine c(w(r)).\nAnswer: -98716*r + 862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1251 - 13*q - 23*q + 1257 + 0*q.\nAnswer: -36*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 19 + 45. What is the least common multiple of 2 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2916 and 3431268?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*f + 386. Suppose -3*x - x = -i - f, -3*x + i = -99. Suppose 0 = 3*y - 23 - x. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**3\/c*c*c*c*c\/c**11*c)**(-35) assuming c is positive.\nAnswer: c**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-1)\/(4 + -3). Let t be (-2)\/(-8) + (-6)\/(-24). Sort -0.2, t, h in ascending order.\nAnswer: -0.2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b**2 + 14. Let z(k) = -15*k**2 + k + 16. Give 7*w(h) - 6*z(h).\nAnswer: -h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2652)\/(-1105)*20\/(-6). Let q(w) = 6*w - 35. Let k(p) = -2*p + 12. Give c*k(d) - 3*q(d).\nAnswer: -2*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7565350 divided by -73450?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06499 + -7.77501. Put t, 1, -1 in ascending order.\nAnswer: t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -10486.37, 8 in decreasing order.\nAnswer: 15, 8, -10486.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 15*u = -14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 3*r + 11. Suppose -2*p = -3*l - 19, p = 1 + 1. Let x be k(l). Let m(d) = -4*d - 7. Is m(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(4\/17))**21\/(k**(-17\/3)*k*(k**(1\/12)*k)\/k))**(-18) assuming k is positive.\nAnswer: k**(-31533\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - 11\/(-2). Suppose -r*u + 7*u = 0. Suppose u*w = 4*w. Sort w, -4, 0.3 in decreasing order.\nAnswer: 0.3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -7, 6, 139.\nAnswer: -21, -7, -1, 6, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28) - 33\/154\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/487954 and -15\/116.\nAnswer: 975908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*15*28\/12. Suppose 34 = -3*u + f. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7612 by 3806.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3946 + -35654\/9. Let w = -413\/18 + o. What is the common denominator of 51\/22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (289*o + 82*o + 46*o - 86*o)*(-3 + 2 + 2)*(1 - 1 + 3*o**4).\nAnswer: 993*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**2 + 9*l**2 + 15*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x - 2. Let m(g) = 3*g**2 + 63*g. What is w(m(k))?\nAnswer: 45*k**2 + 945*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l. Let p(d) = -9*d**2 + 8*d + 9402. What is o(p(h))?\nAnswer: -90*h**2 + 80*h + 94020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 2*k - 21. Let r be b(-6). Calculate the greatest common factor of 11 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52230.96 minutes in seconds?\nAnswer: 3133857.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5, -934\/3, 1\/4, -1\/2, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from aawwwww?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -145, -335, -603, -949?\n\"Answer: -39*s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*174\/2030*(-21)\/(-2)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 35. Let p = -79\/5 + h. Which is the closest to -1? (a) 2\/11 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 - w**2 + 7*w**2 in the form u*w**2 + f*w + o and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -274, -1251, -2922, -5293, -8370, -12159?\n\"Answer: -h**3 - 341*h**2 + 53*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + 3030\/90)*-51?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 2*d**2 + 17*d - 17. Determine x(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)*(p*p**(-1))\/p)\/(((p*p*(p*p**(-9)*p*p)\/p)\/p)\/(p\/(p**(-9)*p))))**(2\/7) assuming p is positive.\nAnswer: p**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -12, -3*o + 3 = k - 58. Suppose g - 2*w - 14 = -g, w + o = 4*g. Solve 4 = -g*m + 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/842 and -49\/6.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 + 90*r**2 + 200*r = 0. What is r?\nAnswer: -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214 - 70. Let z = q - 89. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115105, 115106, 115107, 115108?\n\"Answer: g + 115104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1813171 and 655?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6 + 2 - (-2)\/(-6). Suppose a - 10 + 0 = 0. Suppose o = -a*c + 8*c + 2. Are c and 2\/189 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (0 - 5) - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 - -11?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 + -84. Suppose 0 = 4*s - c + 38 - 145, 0 = -4*s - c + v. Let y = 29 - s. Solve 0 = -d + y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 3*q**2 + q + 3. Suppose 2*x - 13910 = -24*x. Let l = x - 538. Give k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 9 - (-4 - 1). Suppose 0 = l + 2*i - 8, 6*l + 3*i - 30 = p*l. Calculate the greatest common divisor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 30 = -6. Let n(y) = y**2 + 3*y - 4. Let m be n(-4). Let a be 5 - 6 - (m - 12). Solve w + 3 = -2*i, -5*i - d - a = 4*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830359 is divided by 294.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 19241, -2, 5 in increasing order.\nAnswer: -2, 5, 19241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03292 and -0.4?\nAnswer: 0.013168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g - 3*g + 5 + g. Let z(m) = m + 1. Let y = -49 - -27. Let v be 1\/(46\/y + 2). Give v*z(l) + 2*x(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 244875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21299405 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58247 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4943.\nAnswer: 4\/4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14866539*b*j**3 + 264*b*j**2 - 2*b*j - 7149*b - j**2 - j wrt j.\nAnswer: 89199234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-25) + (0 - 21)\/21 - 34\/60.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368414 - 150795. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 3:49 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*2*-21*12\/108.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from szzzzzsvscdzdzzzdds?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3384 + -3345 + -2 + -1 + -1 + -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 141*k - 139*k - 10, -3*w = 2*k - 12. Solve -2*q + 7*q + 9 = -w*s, s + 2*q = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 573600*n. Let b(i) = 2*i**2 + 1512. Calculate h(b(r)).\nAnswer: 1147200*r**2 + 867283200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.015579 litres to millilitres.\nAnswer: 9015.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12131123 (base 4) to base 14.\nAnswer: 98dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 387807688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/11 - 839*m**3\/11 + 854478*m**2\/11 - 211576212*m\/11 + 16466277240\/11.\nAnswer: -(m - 222)**3*(m + 1505)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 + 42*s**4 - 20*s**3 - 420*s**2 + 18*s + 378 = 0 for s.\nAnswer: -21, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 22*q + 17. Let f be s(-13). Suppose -106 = -5*t + f. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + m = -31, -2*l - 2*m = m - 27. Let v be 24\/180 + (-47)\/l. Let b(t) = 3*t + 4. Give b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3630 - -1633. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.296 rounded to one dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 2 e when four letters picked without replacement from ezjzjezjzzvvejj?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*m + 19 - 2, -2 = -2*n - 3*m. Let g(q) = q**3 + 6*q**2 + 3*q + 3. What is g(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = -65. Let c be (44\/p + 0)*-6. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minus -6259?\nAnswer: 6950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22436\/579 - -16\/193. Let c = l - -39. Factor 0 - c*f**2 + 2\/3*f.\nAnswer: -f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 56*j - 35. Let q(z) = z - 1. Give -42*q(u) + v(u).\nAnswer: 14*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -36. Let s = 0.655 - -0.39. Let g = s - 0.045. Which is greater: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/64*2*63\/((-189)\/2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 242359.\nAnswer: -2423.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1518 - -1476. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 85*w - 97. Give i(3).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(36\/(-8)) + 2. Let y(l) = 2*l + 14. Let f be y(-12). Let m = f - -13. Solve r + 4*r - 8 = m*c, 12 = -c + p*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:16 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = f, 0 = -2*f + 592*u - 589*u - 37. What is the second biggest value in -0.23, f, 1\/6, -4, 1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9538 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + g - 11309 = 0, 2*v - 3*v + 2*g = -3779. Suppose 2*u = v - 691. Let o = -905 + u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/2*(4\/20)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 - 0) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-248)\/810 - (-9)\/(-45) and 97\/54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:26 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-3*h**2 + 2*h**2 + 3*h**2 + (0*h - h + 0*h)*(8*h - 5 + 5))*(0*h**3 + 3*h**3 + 0*h**3).\nAnswer: -36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746113565?\nAnswer: 5, 19, 1693, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 2*w - 2. Let g(y) = 16*y**2 - 11*y - 11. Let u(i) = 22*c(i) - 4*g(i). Let x(p) = -380*p**2. Give u(x(h)).\nAnswer: 288800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(108)*1))**2.\nAnswer: 1296*sqrt(3) + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2786 - 2785. Sort -0.2, 5, n, -60 in increasing order.\nAnswer: -60, -0.2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 129\/2. Are c and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 44. Suppose p + 9 = -d. Is 13 a factor of (1 - (p + 0)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16 and 1.52785?\nAnswer: 17.52785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/8 - z**2 - 117*z. Let r(l) = -53*l**2. What is g(r(i))?\nAnswer: 159*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 109*v + 420. Give h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -133. Let b(z) = 143*z**3 - z**2 + 1. Let w be b(1). Suppose -g*s + 653 = o, o - s = -w + 820. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19702418 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 2, e: 1, f: 4, y: 2}. What is prob of picking 1 q, 1 u, and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/231 and 155\/1782.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r + 228. Let z be x(-32). Solve -z = 3*l - 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - 1078\/5. Let t = y - 137. Let v = 15\/122 + 47\/610. Which is the closest to t? (a) 1 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (4 + 0)) + 7 + 9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -110.8? (a) -3 (b) 1\/10 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1800\/(-540)*((-1)\/(-4) - 1))\/(-4).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 4*b + 0 + 1\/12*b**4 - 2\/3*b**3 - 2*b**2. Let g be c(5). Solve -g = f - 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1125.911us to seconds.\nAnswer: 0.001125911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 - 2 = 0. Let i = 10551 - 10550. Sort -1, u, i in descending order.\nAnswer: i, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(12) - (sqrt(48) + sqrt(12))) + sqrt(12) - sqrt(12)) - (sqrt(2) - (2*sqrt(72) + sqrt(72) + sqrt(72) - sqrt(2))).\nAnswer: 43*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {v: 1, q: 1, h: 12}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 29 = -9*s - 13 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**3 + 0*a**2 + 5 - 5\/4*a**4 - 6*a. Differentiate j(s) wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5940 and 2031942?\nAnswer: 182874780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.68941nm to meters.\nAnswer: 0.00000005268941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 plus 20253755554?\nAnswer: 20253754865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 20 + 120 = 0. Let a be (3\/(-2))\/(2\/(-4)). Find the second derivative of -6*b**4 + 8*b**g + b - 5*b + a*b**4 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.844 and -27267.\nAnswer: -27266.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 30*i - 16*i + 242 + 338 + 186.\nAnswer: -2*i + 766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144651045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -248.796028 + 248.8. What is z rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**3 - 11*m - 21. Let u(c) = -7*c**3 + 6*c + 11. Suppose -37 - 18 = -5*g. Let v(z) = g*u(z) + 6*j(z). Find the first derivative of v(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 17 - 2. What is the second derivative of -w + 2*w + w**h - 4*w wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - (-13)\/(-12). Suppose 15081*s - 15077*s = -8. What is the nearest to -2 in s, l, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-4050)\/63)\/(-15) - (-8)\/(-2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28bb - b7a?\nAnswer: 1a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (523*4)\/(-11*4\/(-198))?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:39 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 45. Let j be (-11)\/2*(h + -9). Suppose s - 18 = -4*u, -j = -2*s - 4*u + 15. Calculate the least common multiple of 18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60078.\nAnswer: 2, 3, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 325*p + 55. Suppose 71*c - 231 = 74*c. Let a be c\/28 + 15\/20. Let q(r) = -12*r - 2. Calculate a*j(y) - 55*q(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -16. Suppose 4*v - 22 = -w. Suppose 0*i + 136 = 4*i - v*g, 3*g = 2*i - 65. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30795.24804 rounded to the nearest one hundred?\nAnswer: -30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 114*h - 464. Calculate f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/(-3))\/((-10)\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**2 + 21*c**3 - 19284*c**4 + 9626*c**4 + 9781*c**4 - 10*c**2 to the form g*c + t*c**3 + o*c**2 + h + w*c**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5*d + d**3 + 3\/2*d**2 - 4. Let v be y(4). Calculate the highest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/8, 3\/2, -2\/11, 1\/100?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 35, 1, 5, 43 in increasing order.\nAnswer: -35, 1, 5, 35, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*v + 5 + 48*v**2 + 4.\nAnswer: 48*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -345 + 19736*l - 339*l**2 - 9577*l - 9472*l - 3*l**3.\nAnswer: -3*(l - 1)**2*(l + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*n + 727, -3*n = 3*c - 8*c + 3689. Let i = c - 1413\/2. Is -1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 859426185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -184546 divided by -1741?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 520538089 and -0.2.\nAnswer: -104107617.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -4*f. Let u(j) = -9*j - 1. Let p be u(f). Suppose -4*r = -p*r + 5*q + 133, 2*r + 5*q - 89 = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -739 and 0.5.\nAnswer: -369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 4*p + 1. Let a(b) = 3*b**2 + 8*b - 3. Let o(j) = 2*a(j) + 5*u(j). Let z be 24\/2*(-5)\/(-15). Determine o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89289715351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2195)\/5268)\/(7\/((-3136)\/120))\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 129*m = -912 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:45 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36043356 and 3.\nAnswer: -108130068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 - 9*m - 5. Let l(d) = 5*d**3 - 4*d**2 + d + 2. Let b be l(2). Suppose -b - 7 = 5*w. List the prime factors of k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2*r + 2. Let n(v) = -5*v**2 - 7*v + 9. Let p(i) = -9*d(i) + 2*n(i). Let m = -10 - -13. What is the lowest common multiple of m and p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b - 2. Let k be u(-3). Let r(z) = -5*z**2 - z - 1. Let p be -1*2*12\/24. Let t be r(p). What is the nearest to -1 in 4, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 58*m + 271. Let o be 268242\/(-5068) - -1*1\/(-14). Give v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Suppose -g + 2 = -0*b + 3*b, b - 4*g = 18. Let s(x) = 3*x**2 + 0*x**2 - 5*x**2 - x**b. What is l(s(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 2*k. Let a be y(-3). Let r = a + -22. What is the highest common factor of r and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 27464274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2297674*w + 1582542 with respect to w.\nAnswer: 2297674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than -3\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*c - 246*c - 70 = -505*c. Let t(k) = -2*k**3 + 5*k**3 + 3 + 0*k**3. Let a(y) = 13*y**3 - y + 13. Calculate c*a(g) - 9*t(g).\nAnswer: -g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o*o*(o*o**2)\/o*o))**(-27)\/(o*o**(2\/19)*o*o**5) assuming o is positive.\nAnswer: o**(891\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 99*k**2 + 1453*k - 405. Let l be j(-81). Suppose m = -2*t + 7, -4*t = m - 7 - 10. Factor 0 + l*s**2 + s**4 - 1\/2*s**3 - 1\/2*s**t + 0*s.\nAnswer: -s**3*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:09 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**4\/4 + 67*i**2\/2 - 668*i - 408. What is the derivative of t(n) wrt n?\nAnswer: 9*n**2 + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-234)\/2496)\/((-2)\/32))\/((-2)\/((-32)\/(-804)))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, -6538, -3, -1, 5.\nAnswer: -6538, -3, -1, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -209, -359, -387, -233, 163?\n\"Answer: 10*q**3 + q**2 - 223*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Let l be (-19)\/k + 1\/(-4). Let o(c) = -c**3 - 5*c**2 - c - 5. Let n be o(l). Solve n*j - 5*p - 11 = -2*j, -j + 6 = -3*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 21 = -3*k - 2*h - 2*h, 3*k + 7*h = -78 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*n + 164*n**2 - 85*n**2 + 2*n**3 + 0*n**3 - 74*n**2 to the form r*n + x*n**2 + z + o*n**3 and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 3*g**2 + 7*g - 18. Let l be p(4). Let c(b) = 2*b + 7. What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15010 (base 8) to base 9\nAnswer: -10124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3\/3 - 3*d**2 - 2*d + 8. What is x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/15624724 and 83\/8?\nAnswer: 31249448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 10 = 3*f. Sort 10, 5, -3, f in descending order.\nAnswer: 10, 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20292 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 41, 41, 27, -1, -43, -99?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = -17. Let r(h) be the first derivative of h**5\/120 + h**4\/6 + 3*h**3 + 14. Let m(u) be the third derivative of r(u). What is m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -13*f**2 + 2*f - 7. Let s(q) = 7*q**2 - q + 4. Suppose -w + 4*w - 18 = 0. Let k(b) = w*p(b) + 11*s(b). Factor k(i).\nAnswer: -(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*m = -16*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.31 + -0.05. Let d = m + -0.31. Let f = d - 0.43. What is f rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/53)\/((-2)\/36). Let u = i - 5983\/954. Let o = -5636 + 56439\/10. Find the common denominator of o and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394\/35 + 76\/7. Let o = -2.2 + 2. What is the third biggest value in 2, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -33, -1977930 in decreasing order.\nAnswer: 0, -33, -1977930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/336*((-11)\/3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357557159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 95*d**2 + 15*d - 24. Let x(a) = -2*a**3 - 191*a**2 + 28*a - 44. Give -11*r(s) + 6*x(s).\nAnswer: -s**3 - 101*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23505769 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2109)\/2035)\/((-18)\/20) and 3\/286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-50)\/8)\/((-3)\/12). Let y be 1652\/6 - 2\/6. What is the greatest common factor of c and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.57 + 0.17. What is the second smallest value in f, 0, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2774642 divided by -8209.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536422 (base 8) in base 7?\nAnswer: -3516342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose o*z + 1000 = 8*z. Round z to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (146\/2 - -2)\/(12\/16). What is the highest common factor of s and 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/12 - 7*i**3\/6 - 6*i**2 - 16*i + 5. What is h(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*t + 7*t - 40 = 0, -h = -3*t + 10. Suppose 0 = -h*n + 4*n + 439. Suppose -n - 479 = -9*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1443281, -2886526, -4329741, -5772926, -7216081, -8659206, -10102301?\nAnswer: -11545366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*k - p + 441, -k = -3*p - 213. What is the common denominator of (k\/180)\/((-13)\/5 + 3) and 47\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71\/114 - 26\/57. Sort -3, i, 0.04, 3\/4 in increasing order.\nAnswer: -3, 0.04, i, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332433 (base 5) in base 15?\nAnswer: -3698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33626 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x - 1\/2*x**2 + 53. Let d(n) = 47*n + 1. Give d(p(q)).\nAnswer: -47*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 447464 and 4474640.\nAnswer: 4474640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3 + 3*a**2*k + 2*a*k - 103*a wrt a?\nAnswer: 24*a + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 21. Let p(r) be the third derivative of r**5\/30 - r**4\/24 - r**3\/2 - r**2. Let y(h) = -h**2 + h + 2. Calculate n*p(g) - 4*y(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2aa40a7 - -3?\nAnswer: 2aa40aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 26\/3*c**3 + 0*c**2 + 0*c - 13. Let q(s) = -2*s. Calculate u(q(a)).\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -373.5 and 0.3.\nAnswer: -373.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2433)\/8921)\/(6\/(-33)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 318571419.7977800141 + -248175.7977731141. Let a = 318323371 - f. Let m = 127 - a. Round m to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -26. Let x(j) = -j + 245. Determine 6*i(p) + x(p).\nAnswer: -p + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 7875931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44.6 - 33.86. Let z = -0.26 - d. Let g = z + 7. Sort -5, -3\/7, g in descending order.\nAnswer: -3\/7, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v. Let i(o) = -1. Let b(f) = 6*i(f) + z(f). Let w be 42\/8 + (-6)\/(-8). What is b(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {q: 4, a: 14}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2055 >= -1989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-1)\/((-1)\/297) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3158*s**2 + 12*s**3 + 5 - 3157*s**2 - 3 to the form a*s**3 + c*s + r + w*s**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3037*b**2*f**2*u - 19*b**2*f + 40*b*f**2*u - b*f + 79*b*u wrt f?\nAnswer: 6074*b**2*u + 80*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 194. Are s and -97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/1 + (-3 - -3). Suppose h + 81 = t. What is the highest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*f**4 - 136*f**4 + 81*f**4)*(-6 - 28 + 9) + (1 - 1 - 2*f)*(-3 + 3 + 2*f**3).\nAnswer: 5271*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 112\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*((2 - 4 + 0)*(0 - 2*f + 0) + 3*f + 110 - 110) to m*f + o and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*h**3 + 338*h**3 - 2*h**4 - 315*h - 392*h as s*h**2 + k*h**4 + c*h + p*h**3 + u and give c.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 565 + (72\/(-9) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3696 and 48818.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**2 - 3*s**2)*(0 - s + 0) + 660*s**2 + 5*s**3 - 237*s**3 - 660*s**2.\nAnswer: -228*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - -12.7. Let g = -18 - d. Let q = 28.99999815 + g. What is q rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7135 - 7151 = 4*n, -2*n - 41 = 3*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 - 4*i - 4. Let z be h(-3). Let y(q) = q + 14. Let w be y(z). Suppose 3*s = 6*u - 2*u - 112, -2*s + 42 = 2*u. Solve w*x + u = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h + 20, -5*c - 3*h - 65 = 0. Suppose -6*b - 30 = -3*b. Let w = b - c. Is w not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83 in -3\/7, -2\/9, 26.7?\nAnswer: 26.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -849 + 720.2. Let s = 129 + n. Put -2\/5, -2.3, s in ascending order.\nAnswer: -2.3, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-105)\/(-25) + 2\/10. Let z(f) = f**2 + 7*f + 1. Let n be z(-5). Let p be n\/(1 + j) - -137997. Round p to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 6*v. Let j be (-562)\/(-4)*(-4 + 6). Suppose -5*y + j = 4*z, -v*y - 5*z + 232 = y. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 2, -0.10596?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1887\/(-141) + 3. Let r = 14276\/705 - n. What is the common denominator of r and 11\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 237003*t - 30. Let b be r(10). What is b rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/5)\/d)\/d)\/(d*(d\/(d*((d\/(d\/d**(-5\/6))*d)\/d)\/d))\/d))\/((d*d\/((d**(1\/10)*d)\/d))\/(d*d**(4\/7))))**(-47) assuming d is positive.\nAnswer: d**(21526\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 16*x**2 + 14*x - 16. Suppose -n + 82 = 5*b, -2*n - 28 = 2*b - 4*b. What are the prime factors of c(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*z**3 - 601*z**3 - 2*z + 1144*z**3.\nAnswer: -62*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 149 - 259 - 138 - 110 to d + g*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 1. Let l(w) = 5*w**2 + 155*w + 540. Let j be l(-27). Determine x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, t: 4}. What is prob of picking 4 t?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (1 - -32)\/(798\/(-76)). Factor -1\/7*g**2 + 5\/7*g + v.\nAnswer: -(g - 6)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*r - 2*r. Suppose -4*c - 15 = r*y, 3*c - 8*y + 4*y + 50 = 0. Let j be (6\/c)\/(6\/(-30)). Solve 4*s = -5*i + 24, -6 = -i + s - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 40774*q = 40830*q - 153, 12 = 3*m - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 3909?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 - -1.5. Let w = 4 + -10. Let j = -5.8 - w. Which is the closest to -0.1? (a) 5 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(242))*5 + (sqrt(242)*-1 - sqrt(242))*-6)*-2 - 6*-2*(sqrt(242) - (-5*-2*sqrt(242) - sqrt(242))))**2.\nAnswer: 28600*sqrt(2) + 4089900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 13. Let p(a) = 11*a + 51. Let c(u) = -4*p(u) + 18*q(u). What is the tens digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -89120683452.\nAnswer: -89120683455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 248 (base 13) to base 11\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 1, b: 1, g: 4, d: 5, x: 1}. What is prob of picking 1 j, 2 d, and 1 b?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -715, -463, -41, 551?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/4 - 23*n**4\/4 - 149*n**3\/4 - 337*n**2\/4 - 105*n\/2 = 0?\nAnswer: -14, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 73*g + 10. Give h(1).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.04 (c) -3 (d) -3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3238915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*h - 70 = 121*h, 0 = d + 8*h + 48 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109552552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 149, 236, 325?\n\"Answer: u**2 + 82*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a factor of 10701898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 12.22 (c) 2\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-1 + sqrt(13) + (sqrt(156)*2)\/sqrt(12) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:01 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4 - 69 - ((7 - -4) + -6 - 9)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, 1671, 6231, 13281, 22821?\nAnswer: 34851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 0.4 (c) 15 (d) 0.593 (e) -1\/5 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4979, 4992, 5015, 5048?\nAnswer: 5091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*u = -7*u + 132, -p = 5*u - 48. Let h(r) = 12 - 21*r + r**2 - p*r - 18*r + 60*r. What is the units digit of h(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 5698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/2 + 20*a**3\/3 + 3*a**2\/2 + 26*a - 2786. Calculate i(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/41)\/(q*(q**(18\/11)\/q)\/q*q))**(-2) assuming q is positive.\nAnswer: q**(1520\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1874952*c - 1451565 wrt c.\nAnswer: -1874952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2598242 - 4411732 = -389*i + 4726378. What are the prime factors of i?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2870*i**3*k**2 - 11*i**2*k**2 - 106*k**2 wrt i.\nAnswer: -17220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) -2\/69 (c) 0.2 (d) -0.01 (e) -0.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179698, 179701, 179738, 179827, 179986, 180233, 180586, 181063?\nAnswer: 181682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.340175 rounded to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -25. Suppose 5*p = -15, 0 = 3*f - 5*f - 2*p - 2. Suppose -u - z = -f*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(2) - sqrt(2)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 12*f - o = -110, -2*f = o - 72. Solve 33*u + 10 = f*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:27 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4870 - -24414. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 202\/(-540) + 294\/980. Let p = -0.03 + 4.03. Which is the closest to 0? (a) -1\/8 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.01064\nAnswer: 0.0002128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert a63 (base 16) to base 3.\nAnswer: 10122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 1)*(3 - 4 + 2) + 19 + 19 - 51)*(2*x - 4*x + 0*x).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 23*d - 35 - 5*d to y*d + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/2 + 105*p**3\/2 - 432*p**2 - 486*p = 0. What is p?\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120000122 (base 3) to base 14.\nAnswer: -1b721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4626\/17 - 272. Let o = 0 - -3. Let u(d) = -3*d + 4. Let z be u(o). Which is the second biggest value? (a) z (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 2*v + 2*w + 54, 5*w + 117 = 17*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1453622, 1453606, 1453566, 1453490, 1453366, 1453182, 1452926, 1452586?\nAnswer: 1452150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 + 7 = 0. Suppose -20 = 4*i, 2*x - 7*x = 2*i - 250. Calculate the remainder when x is divided by 3\/(2\/m)*9.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a factor of 45263524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*9\/(9\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 8, 101, 3, -4, -10052 in descending order.\nAnswer: 101, 8, 4, 3, -4, -5, -10052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -97, -106, -99, -76, -37?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/25)\/(2\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 721906 + -9828027.\nAnswer: -9106121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (18 - -10) + 0 + 20.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 39, 2 in decreasing order.\nAnswer: 39, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/176 + (-19 - -24 - (-4 - 304\/22))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 4, 0.4, -7, 3828 in descending order.\nAnswer: 3828, 32, 4, 0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -25724*q + 166. Let g be h(-5). Suppose -10*n - 32916 = -g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 1 - 1 + 2.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 33*f = -377. What is the remainder when 115 is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d3da2 (base 16) to base 11.\nAnswer: -22a1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 2. Let k be w(0). Let q be (3\/(-6))\/((-1)\/k). Which is smaller: q or -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8456340 or -8456341?\nAnswer: -8456341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17512116715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + q - 2. Let d be r(4). Let c(u) be the third derivative of 0*u + 0 - 1\/12*u**4 + 0*u**3 + 70*u**2. What is c(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*g = 1392*g + 268956 for g.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbs when three letters picked without replacement from {r: 1, p: 1, b: 2, j: 1, s: 1, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 11*d - 11. Suppose -9*g = -10*g - 2*o - 16, o = g + 4. What is the remainder when 206 is divided by j(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 20. Suppose 2*k + 82*r - 85*r - 39 = 0, -2*k - r = -19. Calculate the greatest common divisor of o and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000269 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w - 2*w + 4*w - w + (-4*w + 2*w + w)*(5 + 1 - 4) + 3*w - w - 4*w - 2*w + 4*w + 0*w + w - 3*w - w)*(0 + 0 - 1)*(0 - 2 + 3).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 24 = -r, -2*f = 5*r - 15. Suppose 4*y = -2*o, 5*y - 16 = -f*o + 3*y. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -516993.36 rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 1. Let o(n) be the third derivative of -n**4\/24 - n**2. Suppose 3*j - 19 = -25, 4*c + 4*j - 12 = 0. Calculate c*o(i) - y(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116132 + 0?\nAnswer: -116132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 37 = -19*j, -5*g + 39*j + 13 = 101*j - 31*j - 35*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 60*s**3 + 24*s - 23*s + 74*s**3 + 31*s - 21*s**3 in the form q*s**3 + u + i*s**2 + p*s and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4976768*o**3 + 2489170*o**3 + 2487595*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-450)*15)\/((-3)\/25). Solve 0 = 5*v + q*l + 40, 27 = -4*v + 2*l - 5*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97.46 + -96. Let z = -2.54 - g. Which is the smallest value? (a) z (b) 1\/4 (c) 16 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-4)*-2 + 6. Solve -z = r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1101010110000111?\nAnswer: 1101010110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven thirds of a year in months?\nAnswer: 268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*n, -5*d = 5*n - 0*n. Suppose -25 = -n*k + k. Let h be 6\/(-10) - 115\/k. Sort h, -4, -3.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*q**3 - 33*q**3 + 259*q - 3*q**2 - 28 + 28 + 9*q**3 wrt q?\nAnswer: -264*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60316451 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (755*x**2 + 349*x**2 - 14*x**2)*(7 - 3*x - 7).\nAnswer: -3270*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 284*h + 4816 = 0. What is h?\nAnswer: -43, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/51 + 43\/204. Let b = -2490 - -2494. What is the closest to i in b, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l - 4*w, w - 3 = 4*l + 2*w. Does 5 divide l + (-2 - -23) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x**3 - x)*(6*x - 5*x + 3*x) - x**4 + 4*x**4 - 2*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.25 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*((l*l\/l**(-1))\/l)\/l)\/l)**20*l**(-1\/3)\/l**(-3\/8) assuming l is positive.\nAnswer: l**(961\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42957626 + -42957625.39540803. Let p = 0.395408675 + g. Let u = -1 + p. Round u to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 107. Suppose -2*h = 2*h + 3*t - 120, -2*h + 5*t = -l. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h - 44. Let q(k) be the first derivative of k**4\/4 + 3*k**3 - 25*k**2\/2 - k + 107. What are the prime factors of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-27 - (-22 + (12 - -3)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 - -0.6. Sort 0.9, o, 0.1 in descending order.\nAnswer: 0.9, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 245*o - 58. Does 37 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 3, n: 5}. What is prob of picking 1 n and 2 d?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*((-1)\/2 - 33\/(-22)). Let z be 626\/(-12) + n\/54. Let f = z + 73. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-12) + (-46)\/(-8). Suppose b*h - 82 = 2*v, 2*h = 3*v + 19 + 5. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -14214*d = -14218*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2352 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000690317 rounded to seven decimal places?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7831 or -7833?\nAnswer: -7831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = c + 2, -2*c + t + 9 = 2*c. Suppose -25 = 5*l, c*o - 6*o - 4*l + 92 = 0. Calculate the remainder when o is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19735375 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155234316 by 5.\nAnswer: -155234316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*1 - 168\/36. Let i = 2497 - 2500. What is the closest to 0.17 in i, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12745, 25493, 38253, 51031, 63833, 76665?\nAnswer: 89533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 463 + -8800\/19. Let q = y - -147\/209. Let r = -30 - -32. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 4*h + 128 = 0, h + 5 - 10 = -j + 9 - 3 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 66, 131, 222, 339?\n\"Answer: 13*w**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1052, -1049, -1038, -1013, -968, -897?\n\"Answer: y**3 - 2*y**2 + 2*y - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*m + 152, 0*x = 4*x + 5*m + 138. Let o be (x\/(-20))\/((-4)\/(-10)). Determine d so that 3\/4*d**5 - 3\/4*d**3 + 0*d**2 + 0 + 0*d + 0*d**o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.07012.\nAnswer: -0.007012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z + 1. Let h(w) be the second derivative of 4*w**3\/3 + w**2\/2 + 2655*w. Determine -7*c(k) + 6*h(k).\nAnswer: -8*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -339435 (base 12) to base 6\nAnswer: -25402505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = 5*h + 38, 3*h - 267 = -4*m. Calculate the least common multiple of 27 and m.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-6))\/((k*k\/k**(-2\/7)*k)\/k)*(k**0)**49*(k\/(k\/k**6)*k**4)\/(k**(-7)*k\/k**(-7\/2)) assuming k is positive.\nAnswer: k**(241\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(243) + 1*sqrt(243) - sqrt(243)))**2 + (-3*(sqrt(243) + 3))**2 + ((-1 + sqrt(243) + -4 + (sqrt(243) + 0)*-3)*5)**2.\nAnswer: 4986*sqrt(3) + 28165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 - 14*h**2\/3 - 3*h + 42 = 0 for h.\nAnswer: -3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from pppppprr?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4061.\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 26*s**2 + 31*s + 99. What is q(-27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.26 (b) -5931 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 5*d**2 - d + 12. Let g be a(5). Suppose -j + 3*b + g = 0, -b + 6 = 2*j + b. Let p = 49 + -46. Solve -j*k + 13 = -p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 55622*o + 166873. Give b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -7*f**2 - f**2 + 181*f**3 - 178*f**3 + 2*f**4 + 4*f - f**5 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2628 + 398 = 0. Which is smaller: b or -3025?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-2*sqrt(5)) + 2*(sqrt(2) - sqrt(2)*3))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102401 (base 8) to base 16.\nAnswer: 88501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7296 divided by -608.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 551674 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -j - 5*f, -3*f = -3 - 3. Suppose 0 = -2*w + 63 + j. Suppose 0 = -3*p + w + 27. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 14*t - 13. Let b(i) = -6*i**2 + 13*i + 13. Let c(d) = 6*b(d) + 5*s(d). Let a be c(9). Let l be -1 + (a - 308\/100). Is -0.2 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -14*w**2 - 84*w + 36. Let r(v) = 28*v**2 + 154*v - 71. Give 6*r(g) + 11*x(g).\nAnswer: 14*g**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - 2*l**2 + 2*l - 1. Let c be m(1). Suppose 0 = -z + c*z - 8. Suppose -3*h + 25 + z = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-36*((-370)\/(-80))\/37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f + 24. Let n be v(-10). Let k = n + 120. Solve -x = 1 - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6165794.8 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53627448 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/7*(-18)\/78?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y)**(-29)*y\/(y*y**0*y)*y**(-11)*y)**28 assuming y is positive.\nAnswer: y**(-2744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjjqjmjjhlmqmjjj. What is prob of picking 1 q, 2 m, and 1 j?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6741, -15350, -23959, -32568, -41177, -49786?\n\"Answer: -8609*w + 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.061148174 - 6\nAnswer: -4.938851826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 6. What is the remainder when j(-6) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2. Let v(l) = -3*l**2. Let r = -14 + 59. Suppose -14*j = -9*j - r. Let h be 1 + (-3)\/(j\/(-12)). Calculate h*s(k) + 6*v(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 520, 4135, 13950, 33067, 64588, 111615, 177250, 264595?\n\"Answer: 517*f**3 - 2*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1259, -1254, -1243, -1226, -1203, -1174?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89626, 89557, 89488?\nAnswer: 89419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 33971 + 17044 + 16927.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 6*p**2 - 6*p + 5. Let j be f(-7). Is (-2)\/1*(1 - (-649)\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6996483 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*4*-1 - sqrt(121) - sqrt(121)) + sqrt(121))\/(sqrt(539)*5).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.47114493.\nAnswer: 0.235572465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**5 - 45*l**4 - 160*l**3 - 280*l**2 - 240*l - 80.\nAnswer: -5*(l + 1)*(l + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218498, 218713, 219072, 219575?\nAnswer: 220222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hstqjth. What is prob of picking 1 j and 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*4*(-4*(0 + sqrt(153)) + -2 + 0 + sqrt(153)))**2.\nAnswer: 2016*sqrt(17) + 88324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + 22. Suppose -4*a - n = -9*a. Suppose 3*y = -3*m + 42, 2*m - 3 = -y + a. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*u**2 + 119 + 51 - 5*u**3 - 120*u**2.\nAnswer: -5*u**3 + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7131868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)\/k**0)\/(k*k*k*k**(-1\/3)*k*k*k*(k**(1\/11)*k)\/k)*k**(3\/5)\/k**(1\/2)*(k\/k**(-1))**(22\/7) assuming k is positive.\nAnswer: k**(3761\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:24 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + (42 - 129) + -11 + 22 + 20.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 982 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 12*t + 152*t**3 - 7*t - 2638.\nAnswer: 152*t**3 - 2638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 7, -10, 198, 4, -2 in increasing order.\nAnswer: -10, -3, -2, 0, 4, 7, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34349\/2134 + 1\/194. Let b = o + 2219\/88. Find the common denominator of 7501\/(-286) + (8 - -14) and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20203 - -20216 - (-1 + 72)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 39 - (3 - (-6 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/10253 + 71793\/20506. Factor -2 + 3\/4*g**3 - b*g**2 + 5*g.\nAnswer: (g - 2)**2*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from vcbvu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16708.000007152 + 16708. Round y to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3, -1, -0.202, -0.068?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2740837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/360 + 3*m**4\/4 - 5*m**2. Let j(y) be the second derivative of f(y). Let b(r) = 24*r**2. Determine j(b(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:54 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 11:01 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/26 - 97\/182. Which is the third biggest value? (a) -0.05 (b) l (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63059*u + 15937 - 15937 - 171160*u)*(-2*u**2 + 1 - 1) to the form t*u + h*u**2 + m + g*u**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14084729\/688 - -20472. Let q = 5367\/3440 - u. Let c = -653\/60 - -62\/15. Calculate the common denominator of q and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2717004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -7*t + 6*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 386*u - 388.\nAnswer: 2*(u - 194)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 8. Let z(y) = y**2 - 3*y - 1. Let k be z(c). Let x be ((-16)\/264)\/(2\/6). What is the third smallest value in k, x, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + b - 1. Suppose 3*a - r - 7 = 0, 0 = r + 1. What is h(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 15*q + 13. Let y be i(6). Suppose -118 = l - y. What is the greatest common divisor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 31*o**2 - 113*o - 43. What is the thousands digit of q(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.3 (c) -6.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3968 and 7293296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2050 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -801 + 845. What is the remainder when 708 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6662*i**3 - 2*i**2 + 5912*i + 2 wrt i?\nAnswer: -39972*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-25)*65\/8 - 3. Solve p*g**2 - 1\/4*g**4 + 0*g**3 + 0 + 0*g = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-16)*(0 - -14)\/7. Sort 0.026, 1\/10, -0.2, u in decreasing order.\nAnswer: u, 1\/10, 0.026, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.6, 2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 2\/9, 37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -204*y**2 - 278*y - 61*y**4 + 204*y**3 - 14*y**4 + 9*y**5 + 326*y = 0.\nAnswer: 0, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386 is divided by 172.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from lglgllll.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -3\/10, -16\/7, 2, 4 in decreasing order.\nAnswer: 4, 2, 3\/4, -3\/10, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/5 + -3. Suppose -2*p = z - 297, -p - 2*p + 2*z = -463. Let h = 1055\/7 - p. What is the smallest value in -21, h, a?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22703, 22727, 22763, 22811?\nAnswer: 22871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + 5*l**2 + 4*l + 1. Let y = 9 - 12. Is d(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079126 at most 1079127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 10*c**2 + 4*c - 2. Let g(d) = -2 - 9*d**2 - d**3 + 1 + 3*d + 0*d**3. Let r = 66 + -71. Let m(z) = r*a(z) + 6*g(z). What is m(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -348 and -592315.\nAnswer: 206125620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofpoookpfopkfffpp. Give prob of sequence pkpo.\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5 - 4418*b**2 + 4194*b?\nAnswer: -40*b**3 - 8836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4245 and 204794365.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 3*t - 1 + 4*t - 13*t**2 + 17*t**2 to the form n*t**2 + y*t + c and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - -3.6. Let g = u + -4.9. Put 5, g, -4\/5 in ascending order.\nAnswer: -4\/5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011000122 (base 3) to base 5.\nAnswer: -12333111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468 * -110.\nAnswer: -51480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/70)\/(60306\/(-483)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1058056238 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006955 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b = 164*b + 700*b - 10109 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -362d (base 14) to base 3\nAnswer: -110221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 386 + 1978*b - 620 - 490*b wrt b?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a millennium in decades?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028105 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, c: 3}. Give prob of sequence cyy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1743 + 0.0257. Which is smaller: g or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 26774*u**2 - 53542*u - 26770 = 0. Calculate u.\nAnswer: -13385, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2 + sqrt(1088) + 2 + sqrt(1088))**2 - (sqrt(1088) - (4*sqrt(1088)*-4)**2))*1 + 3.\nAnswer: -8*sqrt(17) + 282882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -76937 (base 11) to base 9\nAnswer: -180072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04509 rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -4*d + 4, -2*w - 2*d = -20. Let m be 0 + (-3)\/(-1 + -2). Let c = w - m. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -459, -457, -457, -459, -463, -469?\n\"Answer: -o**2 + 5*o - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 4*j + u, u - 6 = -4*j. Let f be j\/(4*1\/8). Which is the smallest value? (a) f (b) -5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4720, -4726, -4742, -4774, -4828?\n\"Answer: -g**3 + g**2 - 2*g - 4718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687506 rounded to the nearest one thousand?\nAnswer: 1688000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -467547760*i**2*n**3 - 2*i**2*n**2 + i**2 + 87994*i*n**2 + 21*n**2 - 2 wrt n?\nAnswer: -2805286560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*w - 3 = 0, 403*w - 408*w + 9 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 11*a**2 + 14*a + 15. What is the tens digit of h(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 229, -6.\nAnswer: -6, -5, 8, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/2*13\/(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 829 + 824. What is the third biggest value in 15, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4038257*x**4 + 6395829*x.\nAnswer: -48459084*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 18*y + 6. What is z(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*f - 1435, 4*r + f - 1435 = -r. What is the remainder when r is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77286096.3 - -68791218. Let w = 8495225.30311 + v. Let n = -347 + w. Round n to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 - 9*q + 15. Let n be y(7). Let i(x) = 5*x - x - 4*x - x + n. Let b(r) = r - 2. Let c(k) = 6*b(k) + 5*i(k). Give c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (18 + -14)) + (4 + -2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 2*q + 3. Determine b(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*o + 5*o + 6 = 0, 0 = 3*t + 3*o + 3. Let s = -24 + 23. Is s at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -343*x + 342*x - 5*o, -466 = 26*x + 2*o for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -2*x + 5*x. Suppose 608 = 4*l - 4*b, 56*l + b - 742 = 51*l. What is the remainder when l is divided by x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyyw when four letters picked without replacement from {n: 4, b: 3, e: 3, i: 2, y: 3, w: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyll when four letters picked without replacement from lslsysllss.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*k - 4*z - 29, -z - 5 = 0. Let i(f) = 1 - 2*f + 4*f + f. Let t be i(k). Put 2, t, -4 in descending order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 + 599*l\/2 - 358801\/4 = 0 for l.\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16737187 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 5*w**2 - 6*w**2 - 21 + 8*w**2 + 4*w - w as i*w**2 + v*w + m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/11)*u*u*u**0*u*u**(-1\/6)*u**(5\/6)\/u)**(-38) assuming u is positive.\nAnswer: u**(-2660\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.0798 (c) 39 (d) -2\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m - 73. Determine z(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45558 + 112612 = 15817*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574540 is divided by 71?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*j*s**2 - 399534*d**2*s**3 - d**2*s**2 + d**2*s - 7*d*j*s**3 - 42*j*s**3 + 5468*j*s**2 + s**2 wrt s.\nAnswer: -2397204*d**2 - 42*d*j - 252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 14. Let y(f) = f**3 + 7*f**2 + 6*f + 4. Let g be y(-6). Suppose -5*m = -3*m + n - 5, 4*n - 4 = 0. Solve g*d + b*s = 0, -2*d = -d - m*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 9*c + 5. Let h be v(9). Suppose 5*m = 5*p - 0*p + 500, 214 = -2*p - h*m. What is the tens digit of (-4)\/(-16) - p\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.11, 28667, 12, -4, -0.4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5 - 3380048*s**4 - 714112875972*s**3 - 28558826700824*s**2 + 59260005549776*s - 29987062592928 = 0.\nAnswer: -422486, -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/150 - s**4\/5 - 28*s**3\/15 - 188*s**2 + 14*s. What is q in b(q) = 0?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -199, -315, -483, -709, -999?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -94a689 (base 13) to base 8\nAnswer: -15212702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 30.4.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**3 + 2*r**2 + 2*r + 1. Let u be y(-1). Let w(h) = h**3 + h**2 - h. Let p be w(0). Solve p*v = 4*v - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*w**2 - 5*w**6 + 4*w**6 - 118*w**2 + 42*w**3 - w**6 + 5*w**6 wrt w?\nAnswer: 360*w**3 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78208372 divided by 11.\nAnswer: -7109852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -215, -432, -649?\n\"Answer: -217*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 + 6 = 0. Let c be (-8)\/(10\/(-5)) - m. Suppose -8*i + c*i + 245 = 5*k, -58 = -i - 4*k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 29*q**2 - 66*q + 11. Let z be c(-32). Suppose 19*y - z - 4571 = 0. What are the prime factors of y?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 7*z - 7. Let l be ((-2)\/(-10))\/((54\/(-210))\/(-9)). Let x(t) = t**2 + 6*t + 6. Determine l*x(j) + 6*s(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 395881298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q = 1. Let k(m) = 77*m**2 + m. List the prime factors of k(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -55, -86, -119, -154, -191?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-5) - (-126)\/10. Let y be 1\/4 + (-3)\/l. Suppose 3*r - 4*g - 328 = y, -g = -4*r - 3*g + 408. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u, o + 0*u - 3*u = 38. Suppose 0 = 4*j - o - 13. Solve -4*k = -2*i - 2*k + 4, 0 = 3*k + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -3032361136?\nAnswer: 3032361133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 7*h - 6. Let g be x(8). Solve -3*b - 5 = -g*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02395092 to 4 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*u**2 - 17*u**2 - 17*u**2 - 12 wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137.555 + 0.445. Let m = o - 134. Let y = 0.1 - 0.3. Which is the closest to m? (a) 5 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70155565 divided by 14031113.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - ((-2)\/(-8))\/((-13)\/(4 - 212)). Solve -p*s = -4*f - 40, 3*f - 26 = -4*s + 5*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30088 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t. Let h = t - -25. Calculate the remainder when 99 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40, -88, -134, -172, -196, -200, -178?\n\"Answer: f**3 - 5*f**2 - 40*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(49)*2)\/sqrt(7) + 4).\nAnswer: 16 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 8. Let u(t) = -t**2 + t - 6. Let s be u(0). What are the prime factors of a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Let z be (-3)\/(-5)*(5 + a). Suppose z = 4*o - o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, u: 7, w: 4, o: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, 29, -4, 473, -34.\nAnswer: -34, -5, -4, 0, 1, 29, 473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/10159 + -10153\/30477. Do -854\/11 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 150.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.33 + -0.08. Let d = 0.15 + c. Let i = d + -0.5. Which is greater: i or -0.8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-k + k - 3*k) - 3260 - 9*k + 3260.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18453\/5 + 3691. Sort -1\/3, t, 5, -0.069 in decreasing order.\nAnswer: 5, t, -0.069, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-120)*6)\/((-3)\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554737982.\nAnswer: 2, 17, 1709, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 799 + 788. Which is the nearest to z? (a) -4 (b) 4 (c) 1\/5 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/6)\/(-5) + (-8024)\/(-6). Suppose 11*l = 4*l + p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3\/2)\/b)\/b*b*(b*b*b**(2\/13))\/b)\/(b**1)**12)\/(b**(-3\/5)\/((((b*b*b\/((((b*b*b**(-3\/4))\/b)\/b)\/b)*b)\/b)\/b)\/b))**(-23) assuming b is positive.\nAnswer: b**(-23243\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let p be 24\/18*(-3)\/(-2). Let y be p*(4 - 2) + -1. Determine z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 - 3*w**2 + 5 - 2*w + 2*w**3 - 4*w**3 + 3*w**2 as q*w**3 + y*w + b*w**2 + z + m*w**4 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odoo when four letters picked without replacement from {d: 2, w: 4, a: 1, h: 1, p: 1, o: 6}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 31\/9, 5, -4, 0, -0.6, -473?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*u = -8, 5*u = 3*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317141 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269619066?\nAnswer: 2, 3, 97, 307, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -561 - -566. Suppose -11*w = -l*w + 36. Let c(a) = -a**2 - 10*a + 3. What is c(w)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/4, 0.02, -7 in ascending order.\nAnswer: -7, -1\/4, -0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -20. Solve g*h - 2*v = -6*v - 8, 10 = 4*h - 2*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -5, 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166 - -2?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -s + 3*k, 0 = -5*s + 4*k - 2 + 170. Let l = s - 17. Let f = -33 - -76. Calculate the remainder when f is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 66. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3539204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 236 - 737*w + 244 + 134 + 2*w**2 wrt w.\nAnswer: 4*w - 737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 10\/(-2) + 3. Suppose l = 5*u - a + 3*a - 363, -3*u = a - 218. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - 64. Let t = 163 + u. What is the closest to 2 in -1\/2, 0.4, -5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) -0.1 (b) -4 (c) -2 (d) -5 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + h**3 + h**3 - 3*h**3 + 2*h**3 + 0*h**3 + (2*h + 4*h - 4*h)*(h**2 - 3*h**2 + 0*h**2) - 3*h**3 - h**3 + 3*h**3 + 0*h**2 + 0*h**2 + 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pll when three letters picked without replacement from {l: 4, p: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 2, u: 10}. Give prob of sequence tt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**5 + 15*y**4 - 5*y + 5?\nAnswer: -80*y**3 + 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 + 0*p**4 + p**4)*(-4 + 6 + 0 + (-1 - 2 + 2)*(-2 + 4 - 4)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*l + 248*l + 9039 = 51*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 799 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/5)*t*t)\/t**(2\/3))**(-5))**36 assuming t is positive.\nAnswer: t**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4655, 4522, 4315, 4034, 3679, 3250?\n\"Answer: -37*l**2 - 22*l + 4714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915631.4 weeks to milliseconds.\nAnswer: 553773870720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*v - 7 + 39 = 0, f + 5*v + 2 = 0. Let d = f - -115. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*q = 22*q + 2325 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**7\/1260 + d**6\/30 + 7*d**5\/12 + 49*d**4\/9 + d**3\/3 - d**2 - 72*d. Let z(x) be the second derivative of r(x). Factor z(o).\nAnswer: 2*(o + 4)*(o + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1305 - -1843. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 16. Let d(h) = -4*h - 17. Give 2*d(u) - 3*z(u).\nAnswer: u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63297 - 760*b**3 + 63297.\nAnswer: -760*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1\/5)\/(1764\/(-630)). Which is the nearest to -7? (a) -0.4 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2 + 10. Let n = -0.66 - -0.99. Let r = n - 0.03. What is the third biggest value in -5, r, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.371 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*m = 687*m + 150. Solve 25 = -m*a + 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**2 - 5*v + 39. Let g = -14 - -3. What are the prime factors of d(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 337667.2km?\nAnswer: 33766720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -914, -927, -940, -953, -966, -979?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + z - 2. Let o(b) = -61*b**2 - 60*b**2 - 59*b**2 + 242*b**2 + b - 2 - 66*b**2. Let s(f) = -7*f**2 + 1. Let m be s(1). Give m*n(u) + 5*o(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:48 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 544852.\nAnswer: 544852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 1, x: 2, n: 7, m: 2, f: 4}. What is prob of picking 1 x, 1 m, 1 f, and 1 n?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8188\/7 or 1170?\nAnswer: 8188\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70392*g**4 - 100798 wrt g?\nAnswer: -281568*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 3, p: 1, u: 1, f: 6}. What is prob of picking 2 f and 1 u?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110001100011111111 (base 2) in base 6?\nAnswer: 33112423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 3*t. Let j(x) = -3*x**2 + 5*x. Suppose 3*z + 0*z + 15 = 0. Let a(h) = z*u(h) + 3*j(h). Let b(k) = k. Calculate b(a(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3632323.18069523 - 3632857.1807. Let z = a - -534. What is z rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 342163943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -23 in descending order.\nAnswer: 8, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/5, -0.3, 0.129, -4\/7, -18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 26*b - 22*b + v, 4*b - 157 = -3*v. What is the remainder when b is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 874097.9 millennia?\nAnswer: 874097900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/10)\/36)\/(30\/200*(-12)\/(-9)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160453 + 160154.171. Let u = -299 - s. Let z = 0.15 + u. What is z rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m**2 + 6*m + 12. Let f(i) = 851*i**2 + 299*i + 598. Give -6*f(n) + 299*v(n).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:09 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 2*w - 607, 608 = -5*s + 3*w. Let u = s + 200. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 3*g**4 + 1 + 5*g**4 + 12*g**4 + 0*g**3 + g**3 - 11*g**4 to the form o + t*g**2 + s*g**3 + i*g**4 + a*g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, -74, -92, -94, -80, -50, -4?\n\"Answer: 8*a**2 - 58*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9021 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380 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: Let z(b) = b**2 - 7*b + 5. Suppose 38 = 4*x + 2*l, 0*x - 3*x = 3*l - 36. Let t be z(x). Solve -4*h + 3*h = 4*v + 4, 0 = 2*v - t*h + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 - 3*o - 23. Calculate c(-4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.9283 times 2.2?\nAnswer: -87.84226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -6*o**3\/5 - 75*o**2 - 1863*o\/5 + 1026\/5 = 0.\nAnswer: -57, -6, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5631*j - 2545282. What is p(452)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180002127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1142.38391 and 0.12?\nAnswer: 1142.50391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12433218 is divided by 269?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 190940*n**2 + 2278916608*n + 6835031472.\nAnswer: 4*(n + 3)*(n + 23866)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 925 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9696101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j + 2. Let k be l(2). Let n = 10434 - 10451. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4260532.\nAnswer: 2, 1065133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 55, 56, 57, 58?\n\"Answer: l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52079 is divided by 25943?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 2:39 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 966 and 12?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 988\/39*6\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -212030, -424040, -636036, -848018, -1059986, -1271940?\n\"Answer: 7*k**2 - 212031*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12305*n - 12286*n = 589 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2891*v**2 + 17*v + 8. Let a(c) = 2*c + 1. Give -8*a(w) + n(w).\nAnswer: -2891*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.3, 3, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13835, -27686, -41537, -55388, -69239, -83090?\nAnswer: -96941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2832320 divided by -320\nAnswer: -8851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11102001220?\nAnswer: -11102001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 53*t - 123. Let d be u(11). Suppose -67*n + d = -71*n. Is n less than -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/2981808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 720 + -122. Let r = -704 + j. Is -107 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**2 - a + 3 + 1\/3*a**3. What is u(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + 273. Suppose 5*v = 3*z + x, z + 128 = v + v. Calculate the remainder when 186 is divided by v.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 839*y**3 + 3*y - 3. Let j(l) = l**3 + l - 1. Calculate -4*c(p) + 12*j(p).\nAnswer: -3344*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 37, 124, 287, 550, 937, 1472?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7728 divided by 2.\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/179, 2, -4?\nAnswer: 10\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28232, -28063, -27906, -27767, -27652?\nAnswer: -27567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 0.5, 3, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1.1 (b) 0.2 (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2351\/48314?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 - 6286*p**2 - 62776*p - 100416 = 0 for p.\nAnswer: -6276, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*s**3 + 0 + 1 - 3*s**4 + 1 as i*s + m*s**3 + b*s**4 + k + t*s**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 13370565.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-261)\/(-21) + (-5 - 256\/(-56)). Let r be j*(-5 + -1 + 5)*-1. Let q(m) = -2*m - 16. What is q(r)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 3*f + 56 = 0. Suppose 13*j = 5 + f. Let t(w) = -11*w + 1. Calculate t(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, -29593, 4 in ascending order.\nAnswer: -29593, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 8:33 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*(-5 + -4). Suppose 3*w + y = 21. Is 16 a factor of (-2056)\/(-32) + w\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(20\/50)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15888, 15875, 15848, 15801, 15728, 15623?\n\"Answer: -w**3 - w**2 - 3*w + 15893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 38 + 2. Suppose -y*z + 7*z = 0. Solve -2*f + z - 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a**2 + 3*a. Let k be p(0). Suppose 58*l - 60*l = k. Suppose -c - 4*c + 495 = l. Calculate the greatest common divisor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 3*a - 2*a**2 - 11*a**2 - 2*a**2 - 11*a**2 + (-3*a + 2*a + 2*a)*(-3*a - 3*a - 2*a) as s*a**2 + b + k*a and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-3))\/((-273)\/18)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19874 + -119227\/6. Suppose -3*f = t + 32, -2*t = -5*f - 6*t - 44. Find the common denominator of (-110)\/f*(-2)\/20 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 317960565?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617487.\nAnswer: 3, 13, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 - 218*y - 534. What is w(-41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -69. Let j(u) be the first derivative of u**4\/4 - u**3\/3 + u**2\/2 - 7*u - 2. Give j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233962174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -787 + 1783. What are the prime factors of z?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 2, d: 1, v: 1, b: 2}. Give prob of sequence bkv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 9*r = -5. What is the lowest common multiple of 3 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 1. Suppose 5*m = m + 16. Suppose 0*z = -m*z. Determine y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w + 53. Let x be z(-3). Solve -3*o + f + 10 = 0, -3*o - o + 5*f + x = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5483, 8623, 13857, 21185, 30607?\nAnswer: 42123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 24 = -10*d + 8*d, 2*d - 24 = -4*w. Calculate the lowest common multiple of d and 2778.\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1064)\/378*-6 - 17?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u. Let n(w) = 120*w + 12. Let h(v) = -6479*v - 646. Let y(l) = 6*h(l) + 323*n(l). Let r(g) = -33*x(g) - 2*y(g). Let q(f) = 9*f**2. Give r(q(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Suppose -16 = -4*f + 5*q, 2*q = 3*f - 0*q - 12. Suppose 4 + f = 2*y. Which is the nearest to n? (a) -0.5 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 10) to base 14.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82848242 less than or equal to 82848244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c + c)*(1 + 0 - 5) + (4 - 1 - 2)*(2 - 2 + 2*c) in the form z + j*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135 + -156 + 2 + -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 - l + 5. Let v be r(4). Let i = v - 12. Solve i = -f - 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t + 5*t + 0*t + 8*t - 3 wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1 - 3. Let h be 1\/3 + (-2)\/6. Suppose -j + h = -k. Solve 3*p - 2 = k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33 - -53)*27\/6. Factor -80 - 119*g - 46*g + 276*g**3 - m*g**2 - 281*g**3.\nAnswer: -5*(g + 1)**2*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(1 - 9\/6). Suppose a = -4*i - 10. Put -4, 2, i in increasing order.\nAnswer: i, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1594 - 4\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24076 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9 = 3*p. Suppose -p*n = -0*n - 603. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 5475.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86260, -86261, -86262, -86263, -86264, -86265?\nAnswer: -86266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzt when four letters picked without replacement from tzsshzsszszsszz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 220. Calculate the remainder when i is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2278 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 4. Suppose -l + 11 = 5*q. Suppose -r = q*r. Is 4\/9 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**7\/210 - i**5\/10 - 7*i**4\/2 + 29*i**2 - 3*i. Find the second derivative of o(l) wrt l.\nAnswer: -12*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144926.\nAnswer: 2, 3, 63607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 35 + 5 + 112*v.\nAnswer: 112*v + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + (364\/18 - 2). Suppose 0 = u*y + 5*y - 69. Sort -1, -3, y, -2.\nAnswer: -3, -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:49 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 3*v + 4*v - 2*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.724617316 + -70921.180682684. Let h = r - -70930. Let p = -7.1 + h. Round p to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13.1 (b) -3 (c) 0.4 (d) 11541 (e) -0.4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d + 5. Let r(y) = -6*y - 32. Let j be r(d). Suppose 15 = -5*v, -4*v - 24 = -3*f - 0. Sort j, f, -3 in decreasing order.\nAnswer: f, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46133475 and 237152?\nAnswer: 7411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684 - 109 = -26*j - 89*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19007520 is divided by 109?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 2*m - 1 = -49*g, -2*g + 26 = 4*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 289 + 92 + 97 + 6*y.\nAnswer: 6*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*m = -197*m. Solve m = -3*h - 3*b + 6, -8 + 25 = 4*h - 5*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3627, 28860, 97239, 230304, 449595, 776652, 1233015, 1840224?\n\"Answer: 3590*o**3 + 33*o**2 + 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + -31 + 103 + -27?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601 = -36*l - 135*l + 6785 + 1511 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 357591 plus 25.668?\nAnswer: 357616.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38374 - 38371. Let o = 29 - 5. What is the smallest value in o, 1, 2\/33, m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 987*d**2 + 2586*d + 360140. Determine y(984).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 2 - 4*z**2 - 9*z**2 + 15*z**2 - 5*z. Suppose 2 = -4*v - 2*x, 0 = -4*v - 4*x + 3 + 5. Determine y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 - 1)*(1 + 4*g - 1)*(1 - 3 - 2) to the form i + h*g and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989799?\nAnswer: 3, 29, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245068 is divided by 30632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*m + g - 3*g, -m = 3*g - 15. Suppose 5*c = -m + 26. Suppose -c*i - 5*z + 605 = 0, 2*i - z - 398 = -99. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45809 and 5137841.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.2944*-39.\nAnswer: -245.4816","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 86600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1a6 (base 14) to base 5\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15323114?\nAnswer: 2, 31, 101, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 5. Let w be s(-7). Let n be (-2)\/5 - w\/(-20). Which is smaller: -23 or n?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191216573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -33\/8, -1\/9, -3, 5\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5276, 21134, 47590, 84650, 132320, 190606, 259514, 339050?\nAnswer: 429220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*o**2 + 49 + 11 - 168*o**2.\nAnswer: -243*o**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*o**5 + 2*o**3 - 57*o**2 - 2*o.\nAnswer: 4320*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 28*q - 71. Give y(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 2. Let q be p(0). Let v be -1*(-3)\/2*q. Let h(u) = -u**3 - u**v + 0*u**2 + 2*u**2 - 1. Calculate h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:52 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o + 2. Let x be f(2). Let s be (-10)\/(-4)*((-144)\/2)\/x. What is the highest common factor of s and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 + 96*s - 93 = 0. What is s?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.22813818 to 2 decimal places.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299373891, 299373890, 299373889, 299373888, 299373887, 299373886?\nAnswer: 299373885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 9. Let l be 2\/((-4)\/((-24)\/(-3))). Let j be f(l). Let u(t) = t**3 - 8*t**2 + 6*t + 5. Let h be u(j). Let b(n) = 4*n. Give b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 + ((-3 - -1)*-4 - -7925)?\nAnswer: 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4455.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 28. Let f be (w\/(-8))\/(9\/(-60)). Suppose 8 + f = 3*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/138)\/(8\/(-32)). Which is the closest to -1\/7? (a) 0.2 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 442 + 322. Let n = w - -1339\/7. Factor 0 - n*d - 4\/7*d**2 - 2\/7*d**3.\nAnswer: -2*d*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*z + 33*r**3 + r**2*z + 58*r*z - 2*r wrt r.\nAnswer: 12*r*z + 198*r + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -62, -18, 64, 196, 390, 658?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(6\/(-45)). Let z(g) = g + 15. Let d be z(u). What is the least common multiple of (d\/(-4))\/((-2)\/4) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 51 = -2*l. Let g = l + -12. What is the highest common divisor of g and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860 = -7*z - 2895 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -2*k + 4, 4*v = 0. Suppose 5*m = g - 3*g + 830, k*m = 3*g + 641. Suppose 0 = -0*u + 4*u - m. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 2. Suppose 2*v + o*v = 80. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 15777, -5, -0.28, 5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l - 4, -8 = -4*v + 4*l. Let f be (v\/(-24))\/(7\/8). Which is the second biggest value? (a) f (b) 0.1 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -s - 4*s + p, 0 = -p + 1. Let k = s - 3. Solve -1 + 10 = -k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/5 + 266 + -262 - (-1)\/(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51397 * -0.3.\nAnswer: -15419.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99.9 + 86. Let a = 14 + o. What is the third biggest value in 0.2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225812 + 425812. Round y to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, m: 2, b: 1, c: 3, y: 4, s: 4}. Give prob of picking 2 m, 1 c, and 1 s.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + c - 5 = -2*c, -5 = -3*j - c. Which is bigger: 7\/5 or j?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 5, e: 2, w: 5}. What is prob of picking 2 v and 1 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238158, 238182, 238220, 238272, 238338?\n\"Answer: 7*i**2 + 3*i + 238148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2855507.1 minutes?\nAnswer: 47591.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2337626 take away 4.608?\nAnswer: -4.8417626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2 - (4 + sqrt(17)*2)) + -2*(-1 + sqrt(68))*4.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0488 and -2.92.\nAnswer: -2.9688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 14, -18, -5, -4 in decreasing order.\nAnswer: 22, 14, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2753\/63 - 337\/7. Calculate the common denominator of 95\/2 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/12)\/((-6)\/(-279)). Let x = m - 26. Suppose 5*d = x*g + 355, 3*d + 2*d = g + 363. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r + 135 - r**2 + 125 - 261. List the prime factors of m(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 585 - -1027?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 6:11 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-40)\/36)*(-11847)\/29079?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57 * -0.1\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/1680 + d**5\/40 + d**3\/2 + 2*d**2. Let v(c) be the first derivative of l(c). Find the second derivative of v(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 902 and 1270467.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1 - 3*c**2 - c**2 + 2 - 6*c**2. Let o be 72\/15*(-15)\/(-6). Let h(p) = 3*p - 37. Let l be h(o). Calculate q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-2 - (-2 - -1)) + -20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.85 and 3.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*s - 3141 = 0, -3*s + 4944 = -4*b + 749. Let t = -2178 - b. Round t to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (7 + (1 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**6\/60 - r**4\/8 + 3*r**2\/2 - 1. Let y(o) be the second derivative of h(o). What is the second derivative of y(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2022 + 10108\/5. Which is the nearest to m? (a) 5 (b) 4 (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.283291 * -3.\nAnswer: 12.849873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*t = 28, 0 = -t - 159 + 163 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n. Let f = 284 + -249. Let h(t) = -f*t - 64*t + 133*t. Determine h(c(j)).\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(6\/7)*h*h*h*h**17*h*h)\/((h\/(h\/(h*h**6\/h)))\/h)**(-4\/13))**38 assuming h is positive.\nAnswer: h**(81890\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*-2*3. Sort o, -0.11, 3 in ascending order.\nAnswer: o, -0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -1113, -2535, -4533, -7107, -10257, -13983?\nAnswer: -18285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 15. Let i = 6 + -4. Which is the closest to 1\/2? (a) i (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240*g**4 + 233.\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 3*m + 2*m - 2*m to k + r*m and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-234)\/2)\/(15\/(-20)). Suppose 5*l - t = -6. Calculate the greatest common divisor of 12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/437?\nAnswer: -7\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001646203 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*114\/(-19)*20\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315924, -631839, -947754, -1263669, -1579584?\nAnswer: -1895499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166620716*a*u**2 - 92494*a*u - 3*a - u + 16 wrt u.\nAnswer: 333241432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1155*p**2 - 82*p**3 + 79*p**3 + 4*p + 14 - 1157*p**2 in the form l*p + u + z*p**3 + x*p**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/20 - 21\/4. Let q = 0.3 + -0.34. Let r = -0.44 - q. What is the third smallest value in j, -1\/4, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*n = 239*n - 189*n + 1536 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37032924?\nAnswer: 2, 3, 3086077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v - v**2 - 8 - 7\/3*v**3. Let k(c) = -c**2. Give b(y) - 5*k(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 3*v + 5. Let r(s) = s**2 - 1. Let h(d) = -k(d) + 2*r(d). Let w be h(5). Suppose -3*c - z = -106, 5*c - w*z = 2*z + 150. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {p: 1, n: 1, x: 1, o: 1, a: 1, b: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j**3\/3 - 7*j**2\/2 + 7*j + 152. Give p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97673 divided by 97673?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1299*g - 1308*g - 1301*g + g**3 + 88 + 3909*g in the form o*g**3 + p*g + c*g**2 + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*h**3 + 20*h**3 + 2*h**2 + 4*h**2 + (-2*h - 2*h + 6*h)*(-3*h**2 + 2*h**2 + 3*h**2) - 11*h**3 + 57*h - 57*h.\nAnswer: -37*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away 912790500.2857?\nAnswer: -912790500.3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**3 - g**2 - 4*g**2 - 3*g**3 - 2 - 6*g. Let y be c(5). Find the common denominator of (14\/y)\/(12\/(-80)) and 93\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3414 is divided by 1704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11150 + -11127. Let y(i) be the second derivative of -1\/60*i**5 + 0 + c*i - 1\/12*i**2 + 1\/18*i**3 + 0*i**4 + 1\/180*i**6. Factor y(g).\nAnswer: (g - 1)**3*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**5\/60 + 6*t**2 - 14. Let q(h) be the second derivative of i(h). Let o(k) = -4*k**2. Give o(q(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + -1 + sqrt(1100) + -1 + 2*(4 + sqrt(44) - sqrt(891)*-1))**2.\nAnswer: -68184 - 3840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 minus -54890037646?\nAnswer: 54890038410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87851 is divided by 43923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534 and 81346?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -2\/39, 5, 8.\nAnswer: -0.18, -2\/39, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612896102 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-4)\/18). Suppose -28 = -3*z + 92. Suppose t - c = f*c + 10, z = 4*t - 4*c. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 15. Suppose z*g + 2*k + 4 = 4*k, 0 = 4*k - 8. Let v(y) = y**2 + y + 3. Let d be v(-4). Solve g = 5*r - 2*r - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (9 + 3)) + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6*(-9)\/30*25\/10. Solve -g*c + 4*t = 22, 8*c + 3*t = 7*c + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -110, -159, -192, -209?\n\"Answer: 8*z**2 - 89*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1197, -2382, -3567, -4752?\n\"Answer: -1185*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8.7. Let t = 1 + k. What is the nearest to -1 in -0.3, t, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16a67 + 2?\nAnswer: 16a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19)\/v**(-5\/4)*(v*((v\/v**(-1))\/v*v)\/v)\/(v*v\/(v*v\/(v*(v**(-3)*v)\/v)*v)) assuming v is positive.\nAnswer: v**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2798, 31, -5 in descending order.\nAnswer: 31, -5, -2798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 14) to base 8\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 19*h - 1 - 20*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (116\/(-87))\/(2\/(-6)). Let x be (-33 + -1)\/(z\/(-8)). What is the greatest common factor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91448, 182886, 274322, 365756?\nAnswer: 457188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19389 - 159247 = -1700*w - 714*w for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*f - 33*x + 34*x, 0 = -3*f - 5*x + 67. Suppose 2*t + 14 = 36. Calculate the remainder when f is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/5, 0.46121, -11, 1, 5?\nAnswer: 0.46121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18385*b**2 - 381*b - 8.\nAnswer: -36770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2 - 4616*p + 36800 = 0?\nAnswer: 8, 2300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74996 - -13?\nAnswer: 749a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.135 + 30.2. Let r = -0.065 + w. Let u = -2.5 - -3. Which is the second biggest value? (a) -3\/2 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**2 + 2*a - 4. Let m(x) = -29*x**2 - 5*x + 11. Let j(h) = 6*h - 77. Let s be j(11). What is s*k(p) - 4*m(p)?\nAnswer: 6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:57 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*a - 786*a - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0 = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 (base 2) in base 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 6*r**4 + r**2 + r**4 + 3*r**4 - 3*r**3 - 4*r**2 + 7 to the form o*r**4 + v*r + f*r**2 + a*r**3 + c and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2234 + 113031400?\nAnswer: 113034134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 158, 340, 510, 662, 790?\n\"Answer: -c**3 + 189*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -38. Suppose -p*s - 3*a + 0*a - 9 = 0, 0 = -5*s - a + 1. Let y be ((-1)\/(-3))\/s + 280\/15. Calculate the highest common factor of 57 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1425842 = -18*p + 40*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4094*j - 380. Let u be x(3). Calculate the greatest common divisor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 9*i = -34*i - 70. Sort -23, -169, i.\nAnswer: -169, -23, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82442.87 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:26 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-14)*(-91)\/(-26). Suppose d - p*f + 4 = -d, 19 = d + 5*f. Suppose 3*x + 44 = 3*b - 49, d*x - 107 = -3*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 7*k + 4. Let w be j(6). Let u = -1 + w. Is (u\/(-4))\/((-2)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(sqrt(3) + (0 + sqrt(3) + sqrt(3))*-2))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(216)\/sqrt(2))*5)**2 + 3.\nAnswer: 77\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u)**(2\/41)*u*u**(-5)*u*u\/(u**7\/u)*(u**(1\/5)\/(u*u**7\/u))**(-5\/2) assuming u is positive.\nAnswer: u**(365\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/550 and -6*9\/748 + (-520)\/(-4420)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-167)\/(-3))*3. Let i = d + -419. What is the units digit of (-4)\/(-22) + i\/(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12011 - 331021?\nAnswer: -1003032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145342409087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-453)\/24 + 2128\/(-2432)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/(1*sqrt(7)) + 0 + sqrt(7) + -1*sqrt(7))*5)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 11 - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 0*w = -3*w + 12, 3*w = h + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 = 17. Let u(z) = 5*z**2 - z + 5. Let b be u(-2). Suppose b = 4*v - 5. What is the least common multiple of v and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, f: 2, i: 7}. Give prob of picking 3 i and 1 f.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14256 and 122256?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 351 + -519. Let o be (-2)\/8 - 186\/p. Let l = 24 + -20. Sort l, o, 0.5 in increasing order.\nAnswer: 0.5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -34884\/11, 3, -5\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-2)\/3) + -3. Let w = 3 + l. Solve -w*b = -12 + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -2*d**6\/21 + 4*d**5\/35 + 2*d**4\/7 - 8*d**3\/21 - 2*d**2\/7 + 4*d\/7 - 28. Factor v(w).\nAnswer: -4*(w - 1)**3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 476, 902, 1454, 2132, 2936?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/((-7)\/(-7)) - (50\/(-100))\/((-1)\/(-8))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 22*y**2 + 14*y - 81. Let s be w(-24). Suppose -2*r + 1 = -s. Is r a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8*w)\/w**(-5))**9 assuming w is positive.\nAnswer: w**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -224.0000064. Round c to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, 938, 5 in descending order.\nAnswer: 938, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -9. Suppose -5*q - r = -u, 0*u = u + 4*q + 28. Suppose -5*d = -2*m - 13, -1527*d - 5*m = -1522*d + 50. Sort d, u, 2.\nAnswer: u, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Suppose h*f + 5 = -y - 2*y, -4*f + 4*y = -40. Suppose -4*d + 5*t + 10 = 0, -4*d + f*t + 18 = 4*t. Solve -d*o + 3 = 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 43*z = -28*z + 67580. What are the prime factors of z?\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i = -10. Suppose 5*c = i*c + 27. Let k be 6\/(-4)*(-12)\/c. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, w: 1, d: 3, p: 2, u: 5}. Give prob of sequence buw.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241214530 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 769*i + 769*i + 250*i**2 - 250*i**2 - 4.\nAnswer: -i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 10\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31095456 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 190. Is c(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33\/14 + 599\/266. Which is the third biggest value? (a) q (b) -0.1 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -39 - -13) + (0 - 1 - (101 - 113))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497 and 125850340.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8301 + 12294. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -425*t - 3815. Let l be v(-9). Solve 2*c = -4*o, -l*o - c - 7 = -15*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77814772 or 700332940\/9?\nAnswer: 77814772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -15, -1, 7, 3.33071 in descending order.\nAnswer: 7, 3.33071, 2\/17, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 176\/(-616) - (-310)\/7. What is the greatest common divisor of k and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*p = 3*y - 50, -14 = -5*y + 4*p. Solve 10*b - y*b = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4233\/97 greater than or equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 12*u**2 - 13*u + 1. Let t = -11 - -24. Let q be v(t). Let a be q\/(-3) + 85\/165. What is the closest to -2\/3 in a, 0.3, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*z = -4, -2*l - z - 4 = -14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5010129600 to the nearest one million.\nAnswer: 5010000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5421.64326 + -0.35674. Put 2\/9, 0.1, c in decreasing order.\nAnswer: 2\/9, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 9*h - 8. Solve -d - 10 - h = -3*l, -l - d = -5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 20 = y, 2*y + 12 = 2*z. Which is smaller: z or 3\/118?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 - 236. Which is smaller: q or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m**3 - 4*m**2 - 6*m - 1. Let p(n) = 2*n**3 - n**2 - n - 1. Give 6*p(s) - r(s).\nAnswer: -2*s**3 - 2*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let m(p) be the third derivative of 39*p**5\/5 - 249*p**2. What is q(m(i))?\nAnswer: 468*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240*i + 439*i + 436*i + 409*i.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25363 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1322*u**2 + 1055*u - 1090646.\nAnswer: -2644*u + 1055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 946259 + -439250. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 494396.2ml?\nAnswer: 494.3962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (400\/70)\/((-14)\/(-1029)). Suppose -2*x + 10*x = 720. Calculate the greatest common factor of s and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021756989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.972 + 21.3. What is n rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283036 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*(-1444)\/304?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 48 - (2 + -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppeepeeppppe. Give prob of sequence eepp.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-21)*(1904\/408)\/((-2)\/3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 9 - 7 + 0 - 42*g**3 as j*g**3 + o*g**2 + m + r*g and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38924 - 8*v**3 + 19976 + 18948.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11863133493074 - -11863133744831.84999932. Let g = v - 251757.9. Let r = 0.05 + g. Round r to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185680762 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -475295\/1405871 + 1\/19801. Let d = q - -3907\/426. Calculate the common denominator of d and 103\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from nazsg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181322 is divided by 169.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/131 - 112\/1965. Which is smaller: x or 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 548 + -552. Sort -1\/2, -14, -2, z in decreasing order.\nAnswer: -1\/2, -2, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.364 >= -0.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1125677 (base 12) to base 6.\nAnswer: -154232231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9.5 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 14880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 131*z**3 - 9*z**2 + 5*z - 11. Let r(g) = -46*g**3 + 3*g**2 - g + 4. What is -4*m(p) - 11*r(p)?\nAnswer: -18*p**3 + 3*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 a, and 1 f when four letters picked without replacement from {h: 1, m: 1, f: 4, a: 8, r: 2, n: 4}?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 12*d. Let v(b) = -4*b**2 - 25*b + 1. Calculate -5*s(x) - 2*v(x).\nAnswer: -2*x**2 - 10*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l + l**4 + (2*l**3 - l**3 - 2*l**3)*(-2*l + 2*l - l) + 5*l**4 + 3*l - 2*l**4 - 2*l**4 + (2 - 3 - 1)*(99*l**4 - 157 + 157) + 58*l**2 - 58*l**2 + l**4.\nAnswer: -194*l**4 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Suppose h = w - 3*w. Let m be 2 - (w + 6 + 0). Which is the closest to m? (a) -1 (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.069193 kilograms?\nAnswer: 7069.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -86*s - 1365. Let v be r(-60). What is the greatest common factor of v and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x**(-1)*x)\/((x*x\/(x*x*x\/x**(1\/5)))\/x))\/(x\/((x**(-2\/7)\/x*x)\/x*x)*x*x**7*x))\/(x*x\/x**(-2\/39)*x*x**(-3\/4)*x)**36 assuming x is positive.\nAnswer: x**(-56571\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/(-504) - ((-3)\/(-4))\/(7\/14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363863441.\nAnswer: 3363863441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (7 - 16) + 7 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 7*c - 2*c + 35, -5*o + 35 = 4*c. Solve 5*n + 4*i + i = 5, -5*i - o = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*x + 17 - 50 = 0, -5*k = -4*x + 61. Suppose q = -2*j + 29, -q = -2*j - 2 - 39. Suppose -r - q = 4*r. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 75 = 0. Calculate the remainder when 47 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Factor -b**5 - 2*b**5 - 2*b**4 - b**z.\nAnswer: -3*b**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4087070, 4087069, 4087068, 4087067, 4087066, 4087065?\n\"Answer: -t + 4087071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(4\/11)\/w)*w)\/w**(7\/5)*(w**(-2\/17)*w*w)**(6\/17))**(-13) assuming w is positive.\nAnswer: w**(-392756\/15895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4.3. Let u = -2.3 + t. Is 4\/3 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -29 - -42) + -19?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**8\/56 - 7*s**5\/60 + s**2. What is the third derivative of n(d) wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2056 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11111020 (base 3) to base 5\nAnswer: 101043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eppe when four letters picked without replacement from {p: 2, u: 4, e: 9, a: 3}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a (base 16) in base 5?\nAnswer: -3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/37 and 99\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6408333.2999989 - -6408334. Let m = 1.5 - 0.8. Let b = l - 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: Collect the terms in -5352*s**2 + 10895*s**2 - 5540*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**3 - 4*v**2 + 3*v + 5. Let q = -8 + -6. Let l be 91\/q - (-6)\/4. Let s(h) = h**3 + h**2 - h - 1. Let j = 287 - 288. Give j*u(t) + l*s(t).\nAnswer: 2*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x. Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -123, -185, -249, -315, -383?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 5, e: 2, k: 2, d: 4}. Give prob of sequence fb.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/10)\/(3\/(-15)). Solve -3*k + f = 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25691 - 25670. Let h = -48 - -70. Is c greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f**4 + 85 - 2*f**2 - 27 - 17*f**4 - 11*f + 72 + 9*f as m*f**4 + p*f**2 + y*f + j*f**3 + l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Suppose 5*i + 90 = 2*z, 0*z - 18 = i - 2*z. Let c be (-174)\/54 + (-4)\/i. Determine w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 + 169*s\/8 - 21.\nAnswer: -(s - 168)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5680)\/112 - (6\/(-756)*-78 - (-8)\/(-6))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x + 10. Let u = -12 - -19. Let o(g) = -3*g - 7. Let q(z) = u*o(z) + 5*w(z). Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 9*n - 3. Let z be x(-11). Let w = -136 + z. Which is the second smallest value? (a) w (b) -2\/21 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1731 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:28 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*m + 6*m + 3290*m**3 - 3182*m**3 - 1 to the form s + z*m**2 + j*m**3 + g*m and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from qfucp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 8*d**2 - 4*d - 11. What is the tens digit of n(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 4, s: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w**2 + 141*w + 2209\/4.\nAnswer: (6*w + 47)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8)*(-12 - -16). Let d = 11\/21 + -25\/168. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.09 and 0.02?\nAnswer: 0.4418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461915*b**4 - 279635*b.\nAnswer: -5542980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12439, -23712, -34985?\n\"Answer: -11273*w - 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/2*(-130)\/(-117)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 12*m + 3. Let c be q(-10). What is the greatest common factor of c and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 20\/((-20)\/4). Solve -2*b + b = -l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - 1) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m - 39*m + 11*m - 6*m + 4*m + 4*m + (0*m - 2*m + 3*m)*(1 - 3 - 1) in the form f*m + x and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/24 + g**5\/30 - g**4\/6 - g**3\/3 + 6825*g**2. Give n(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15107321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 46*m**3 + 58*m**3.\nAnswer: 107*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -19. Let c = 0 + -0.1. Let n = -7.01 + 7. What is the biggest value in n, j, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 - 2*s**5\/15 + 2*s**4\/3 + 11*s**3\/3 - 2967*s**2. Suppose 2 = -o - 8. What are the prime factors of d(o)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1933, -7739, -17417, -30967, -48389, -69683, -94849?\n\"Answer: -1936*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/8*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -3 + 2 + 4 + 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 310 - ((-18)\/(-3) - 3). Let q = -76 + v. Calculate the highest common factor of 63 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -456 - -1103. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m - 2. Let a(n) = -4*n. Calculate a(j(d)).\nAnswer: -60*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - -2*1\/(-1). Suppose -3*o - 10 = v, -4*v + 3*o + 12 = 2*o. Let l be (-4 + v)\/((-2)\/c). Solve -4*m = g - 5*g - 16, -l*g = -3*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnng when four letters picked without replacement from nngnannpnnnnn.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 38481588?\nAnswer: 38481588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94.67451868 + 94.51477. Let w = s - -0.01975026. Let t = w + 0.14. What is t rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -756?\nAnswer: -1\/756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 78551043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41, 96, 187, 332, 549, 856, 1271, 1812?\n\"Answer: 3*i**3 + 34*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 61*r**2 + 15*r - 431. Let k be i(-30). Which is the closest to 0? (a) -5\/2 (b) -1 (c) 1\/13 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-84) + 3057\/7. Calculate the highest common divisor of t and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -281271492 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t - 2. Let s = 8 - 6. Let w be h(s). Let d(o) = 3*o - w*o - o. Let y(m) = -m. Calculate 6*d(c) - 10*y(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 + 0.05. Let g = -0.57 - u. Let i(z) = -z**2 + 5*z - 1. Let n be i(4). Which is the second biggest value? (a) 0 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 158899504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 3*n**2 - 6*n + 3. Let x be q(-5). Let s = 3583\/10 - x. Which is bigger: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*a = -332, -4*c - 4*a + 332 = -3*a. What is the remainder when c is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/4))\/(c\/c**(1\/14))*c*c**(-7)\/c*c*c**(-1\/2)*c*c assuming c is positive.\nAnswer: c**(-131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + 16\/48. Suppose v = -7*m - 9*m + 176. What are the prime factors of (-7282)\/(-121) + (-2)\/m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*b - 137, 4*b = 5*n + 196 + 53. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3807, 3034, 1741, -78, -2429?\nAnswer: -5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37636.8 weeks in nanoseconds?\nAnswer: 22762736640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14216184 and 460224?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.297679 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)*(-6 - -5). Sort s, -4, 0.\nAnswer: -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 1 (c) 0.1 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1657 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*n + 52, 3*n + 0*u = -3*u + 51. Let t be (8\/(-20))\/(3\/n). Let g be t\/(-10) + 3\/(-15). Solve 7*j - 2*j + 20 = g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*o = 0, 26*l + 4*o - 16 = 23*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -39)*9\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -25*i + 581. Calculate k(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/4)\/v)\/v*v*v)\/(v*v**(-7)))\/(v**(-3\/4)\/(v**7\/v*v)) assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/21)\/(297\/(-462)). Let q(f) be the third derivative of -30*f**2 + 0*f**4 - h*f**3 + 0*f + 1\/15*f**5 + 0. Let q(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 24 = -11*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 - -2. Let x = b - 0. Let a = -1 + 0. What is the nearest to a in x, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 954.\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660583.\nAnswer: 7, 11, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 47*u - 336. Let g be k(-37). Let f = 191 + -71. Let b = f + g. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**2 + 106*b - 37. Give u(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 39*f**2 + 4*f + 13. Let i(s) = -s**3 - s**2 - s - 4. Give -2*i(u) - y(u).\nAnswer: u**3 + 41*u**2 - 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331481.\nAnswer: 211, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o**3 + 9*o**2 + o - 63. Give h(4).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/330 and 13\/140?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4351 - -4344. Let c(s) = s + 1. Let z(o) = -o - 2. What is w*c(y) - 5*z(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37641 is divided by 2344?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.83053 millennia in years?\nAnswer: 51830.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1080*u**2 + 870 - 1095*u**2 - 867.\nAnswer: -15*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12532521 or -12532523?\nAnswer: -12532521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1092143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22570, 22496, 22364, 22168, 21902?\n\"Answer: -c**3 - 23*c**2 + 2*c + 22592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 172?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -921 - -917. Sort 0.4, u, 3\/4, -0.05 in increasing order.\nAnswer: u, -0.05, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k - s = -52*k - 43, 2*s = k + 48. What is the biggest value in 0.06, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z = -18*z - 223 + 691 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/4 - 3*m**3 + 5*m**2 - 5*m - 3. Let j be t(8). Calculate the smallest common multiple of 22 and j\/3 - (-2)\/6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569092493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.75 - 1.25. Is v at least as big as 0.008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.5005 nanograms to micrograms.\nAnswer: 0.7635005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80816 is divided by 341?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -345 + 713. Let r be (-10)\/(-4)*(-72)\/(-45). Suppose 5*m = -o + 530, -r*m + 55 + c = o. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/11 - 290448*j\/11 + 2904280\/11 = 0.\nAnswer: 10, 145214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63511 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/848 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30189*j**3*m**2*u**3 + j**3*m**2 - j**3*m + 2634*j**3*u**2 + j**2*m*u**2 - j*u**3 wrt m?\nAnswer: 60378*j**3*u**3 + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 845 divided by -169\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -958*z + 14432. Determine f(15).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 35. Let y be j*-5*1\/3. Suppose 4*l + 2*u + 0*u = 88, -44 = -2*l + 5*u. Calculate the greatest common factor of l and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44978 is divided by 11203.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 3. Let f be t(-4). Let g be (f\/2)\/((-6)\/24). Suppose -3*k**3 - 20*k**2 - 7*k**3 + 14*k**4 + 4 + 10*k + 2*k**g = 0. What is k?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 10*r**2\/3 - 16*r\/3 - 32.\nAnswer: 2*(r - 3)*(r + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -16. Suppose -330 = -s*m + 2*m. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035924546 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -27. Suppose 0 = -0*h - h + i, -5*n - 72 = -2*h. Which is bigger: -71\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z - 8. Let h(b) = -6*b - 4. Let x(o) = 3*d(o) - 5*h(o). Let p(q) = -100*q - 45. Determine 4*p(k) - 45*x(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/(-168)*14)\/((-108)\/(-504))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6232842 seconds in microseconds?\nAnswer: 623284.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1461*t**2 - 5*t - 13*t - 8*t + 25*t + 1422*t**2 in the form n*t**2 + g + f*t and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21110 + 21122?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2047086, 8188347, 18423768, 32753337, 51177042, 73694871, 100306812, 131012853?\nAnswer: 165812982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304187 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -12 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 815\/75 - (-6)\/45 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1689 and 0.9?\nAnswer: 1.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) -0.1 (c) 3497 (d) 0 (e) 3 (f) 0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22675 + -22674.99974762. What is l rounded to six dps?\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d6 + 7b?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 49 (b) -2\/43 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8))**(12\/13) assuming f is positive.\nAnswer: f**(-96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3 (b) 16\/3 (c) 2\/5 (d) -1\/2 (e) 14.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((396\/30)\/(-11))\/(2\/6*4488\/440)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 + -125. Suppose -4*j = j - o. Suppose -4*l + m + 15 = 0, -4*l - l + 24 = -3*m. Solve -l = 5*r + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/(-84) - 2\/8. Let q = d - 9\/14. Let t = -586\/2149 + -4\/307. Which is the third smallest value? (a) -4 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2472338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Suppose -c - 8 = -2*y - 3*c, -4*c = -20. Let x be 4\/(-3)*(-4 - y). Let d(n) = x*n - n - 3*n + 7*n. What is b(d(a))?\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37680 and 1884.\nAnswer: 37680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-468)\/68 + (-28)\/238. Is y > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 284, 1\/5 in ascending order.\nAnswer: 1\/5, 2, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(405)*2 + -1.\nAnswer: -4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-91)*-56*(-215)\/(-29584)*(-4)\/(-5).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -3*x + 1\/3*x**3 - 51 - 9\/2*x**2. Suppose -12 = 4*i - 48. Give o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 6, i: 1, o: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 = -5*w - x, -87*x = 3*w - 84*x - 588. Which is the smallest value? (a) -5 (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8491074681.\nAnswer: 3, 2830358227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**6)\/d)**(-1\/13)\/((d\/(d\/(d**(3\/13)\/d)))\/d**(-1\/9)) assuming d is positive.\nAnswer: d**(131\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/10)\/(174\/145). Which is the nearest to -1? (a) 2\/13 (b) -7 (c) y (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(102))\/(-2*sqrt(6)*-2).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 15*h**2 + 11*h - 39. Let u = -3084 - -3070. Determine x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9)*-3)\/(-2). Put 5, -3, x in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-2 + 1)\/(-1)). Let m = 5 - k. Is 17 a factor of ((-2)\/(-3))\/(m\/102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 - 0.005127480551.\nAnswer: -0.355127480551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(2*(-3 + 1*sqrt(1573)) + 1)*1 + -1)**2.\nAnswer: -127776*sqrt(13) + 3638833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19448, 38897, 58344, 77783, 97208, 116613?\n\"Answer: -t**3 + 5*t**2 + 19441*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4858955 times -0.21\nAnswer: -1020380.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2. Let d be (-3 + 0)\/((-1)\/1). Let j(f) = -f**2 - 2*f**2 + d*f**2 + f**2. What is w(j(v))?\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 20\/147?\nAnswer: 20\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 2206*d**3 - 2026*d**3 - 108*d - 1 wrt d.\nAnswer: 1080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -888878 divided by 223?\nAnswer: -3986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128997207809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-7 - -1) + 8 + -2 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 438 + -216. Suppose 3*n + 63*l - 66 = 60*l, -5*n + l = -146. Calculate the remainder when r is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -630 - -1?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {n: 1, k: 2, p: 1, b: 9, q: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 3*q - 2*x, -q + 0*x - x - 44 = 0. Calculate the common denominator of q and -81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/(c\/c**3)*c**(-1\/3)*c**(-1) assuming c is positive.\nAnswer: c**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10771)\/(-5))\/((-48)\/80)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 + -9 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.768 - 8.368. Put -5, -194, p in ascending order.\nAnswer: -194, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -85, -154, -241?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -15. Suppose -g - 56 - 71 = j. Is g\/((-1 - 0)*7\/7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 15*s**2 + 77*s - 496. What is r(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-4)\/((-16)\/(-10))) + (-23)\/(-58). Is q < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92704.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5036343 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(51)\/sqrt(3) - (sqrt(17) - sqrt(2448)*3))**2.\nAnswer: 216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:14 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198*m**5 - 2*m**4 - m**2 - 99*m - 5 wrt m?\nAnswer: 11880*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 4) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5.5. Let d = 1.5 - g. Which is the nearest to d? (a) 0.2 (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/25439?\nAnswer: -1\/25439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 998859111 to the power of 1\/2, to the nearest integer?\nAnswer: 31605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 3, w: 5}. What is prob of sequence ww?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 983784602.0000102 - 983784488. Let m = -114 + w. What is m rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 30*t**4 + 120*t**3 - 400*t**2 - 1680*t - 1440 = 0 for t.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257284 and 12766.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428*l**4 - l**3 - 181*l**2 - 3.\nAnswer: 10272*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73388.2 rounded to the nearest one thousand?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and 213485630.\nAnswer: 213485654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2\/3 (c) -106 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 0.4, -0.5, 1 in increasing order.\nAnswer: -6\/11, -0.5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384579)\/174384 + 30\/14.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunu. What is prob of picking 1 n and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 15 + 8 + 109*v.\nAnswer: 109*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*i**4 + 2*i**3 + 136*i**2 + 3*i + 795276?\nAnswer: 216*i**3 + 6*i**2 + 272*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1412?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 25. Let z be 2\/(1*4\/h). Let x be 5\/((z\/3)\/5). Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j - 5*j**2 - 9*j + (2*j**2 + 3 - 3)*(10 - 25 + 12) + 22*j - 22*j - 7*j**2 to the form m + c*j + k*j**2 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 243263?\nAnswer: -4\/243263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s - 7. Let f(d) = -22*d - 12. Let t(z) = -3*f(z) + 5*y(z). Let c(v) = v - 3. Let u be c(2). Give t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/120 - b**4\/24 + 4*b**3\/3 + 13. Let d(g) be the third derivative of q(g). Let x be d(-3). Solve 17 - x = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**2*d**3*n**3 + 2*a**2*d**3*n - 60*a**2*d*n**3 + 15*a**2*d*n**2 - 4*a*d**3*n**2 wrt n?\nAnswer: 24*a**2*d**3 - 360*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 5*n - 17, -m + 94 = -4*n + 102 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1783*f**2*z**3 + 2*f**2*z**2 + 2*f**2 + z**3 + 14381*z**2 wrt z.\nAnswer: -10698*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/637 and -31\/364.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t + 1 - 1 - 7*t in the form f + v*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(24)\/sqrt(3) + 4 - -6*((sqrt(162) - (sqrt(162) + -2 + sqrt(162)) - sqrt(162) - sqrt(162)) + 5))**2.\nAnswer: -13760*sqrt(2) + 53049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 53. Let x = -8 + c. Suppose 4*o + 2*n = 368, -o - 3*n + 83 = -x*n. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2*-59*1. Suppose -5*d = 5*y - 120, -66 = -5*y - 4*d + u. Let q = 47 - y. Calculate the least common multiple of q and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:04 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1483*a**3 + 0*a + 1532*a**3 + 0*a - 3147*a**3.\nAnswer: -132*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242 or -1?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**3 - 5*s**2 + 2*s + 1. Let o(h) = h**2. Let g(p) = 5*o(p) + y(p). Let m = -1 - 0. Let z be g(m). Solve -6 = z*l - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 + 3*a - 1. Let r be j(-4). Suppose -b = r*h - 4*h + 6, -3*h + 22 = -2*b. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 - -277. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 322\/115*(-10)\/(-4) - -6. Solve -7*o + t = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 10*t + 11. What is i(-13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + -1 + sqrt(1008) - ((sqrt(567)*-2 - sqrt(567)) + sqrt(567) + -5)) + 1)**2 + -5.\nAnswer: 3960*sqrt(7) + 57179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.72 - -7.1136. Let b = -65.36 + 66. Let q = x + b. What is q rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -w - 3*i, 3*w - 75 = 5*i - 276. Let r(p) = 2*p**2 - 20*p - 37. Let v be r(10). Let l = v - w. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*i - 6*i + 192 = 0, i = t - 42. Suppose 5*g - 5*c = t, 0 = -4*c + 6 + 6. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10344 (base 5) to base 12.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -1\/7, 0.03 in increasing order.\nAnswer: -2, -1\/7, -0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149\/4325 + -638789\/8373200. Calculate the common denominator of -139\/12 and f.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(68\/(-80) - (-15)\/25). Let x(g) be the second derivative of 1\/12*g**a + 1\/6*g**3 - 2*g + 0 - 1\/10*g**5 + 0*g**2. Suppose x(u) = 0. Calculate u.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t = 2*u + 2 + 44, -917 = -239*t + 243*t + 37*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2561, -5114, -7667?\nAnswer: -10220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.114755908 + 171614.\nAnswer: 171613.885244092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-2) - (-2)\/(-4). Suppose q + 2*n + 59 = -27, -88 = q + 4*n. Let i be (2\/4)\/((-14)\/q). Solve 2*f - y = -2*g, -i*g + 1 = f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:28 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585 divided by 5.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 1:30 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 - 26*s - 2. Let i be j(-6). Let c = i - -14. Calculate the remainder when 119 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l + 4*l + 11*l**2 - 14*l. Let r(q) = 2*q. Determine r(g(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/12 - 17*a**4\/8 - 5*a**3\/6 - 3*a**2. Let f(i) = -14*i**2 - 142*i - 29. Let h be f(-10). List the prime factors of j(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 2448328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/120 + y**5\/12 + y**4\/6 + y**3\/2 + 12*y**2. Let q be j(5). What is the highest common factor of 23 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(sqrt(2592)*2)**2)*-2.\nAnswer: 20744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-79)\/2*14 - 0. Suppose 29475 = -36*v - 39*v. Let t = v - k. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12960\/(-5400))\/((27\/(-30))\/(3*1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 99339 + 33121 + 33138 + 33099.\nAnswer: -2*y + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 81067?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:04 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*m = 53825, 4*m = 3*w - 47795 + 15465. Suppose -w = -6*v + v. Let n = 5754 - v. Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/11 - 23884*s + 525536 = 0. What is s?\nAnswer: -131384, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -64131?\nAnswer: -64142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 4*r**3 + r**3 + 2*r**3 - 3*r**3 - r**3 + (2*r**3 - r**3 - 3*r**3)*(2 + 0 + 0) + 1 - r**3 - 1 + r - r - r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and 61\/8073496.\nAnswer: 40367480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -110*n**2 - 45. Let s(u) = -5*u**2 - 2. Suppose -2*b = -b + 57. Let w = 102 + b. What is w*s(q) - 2*t(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 9. What is l(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c. Let g be t(-1). Suppose 0 = -g*k + 5*k + 52. Suppose 4*y = -16 + 48. What is the remainder when k is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78390 and 685946?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 10485*y**2 + 6698640*y - 1180877120.\nAnswer: 5*(y - 904)**2*(y - 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -956*k**5 + 244*k**4 - 4*k - 97782.\nAnswer: -19120*k**3 + 2928*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347563341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*o - 4*o + 9*o)*(10*o**3 - 7*o**3 + 9*o**3) - 20*o**4 - 20*o**4 + 35*o**4 as i*o**2 + d + z*o**4 + h*o + l*o**3 and give z.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 6, 2, 690 in increasing order.\nAnswer: 2, 6, 41, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 times -0.248?\nAnswer: 20.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102140 divided by 275535?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10. Let g(h) = 4*h**2. Let a be g(-1). Suppose -5*b + 4 = -16. Solve b = a*o, l + 1 = w*o - 0*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 215 = -t, -4*t - 2*q + 857 = 3*q. Let i = 8359 + -8344. Calculate the lowest common multiple of i and t.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -164*l**2 + 326*l**2 - 12*l - 163*l**2 - 4. Let u be x(-10). What is the greatest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659690 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3989448 is divided by 173447.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 146.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.27 <= -1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*f = -f + 9, -4*d = 4*f - 12. Suppose d = -6*r + 43 - 13. Solve -5 = r*c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54569 and 1108?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 1956 = 166*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/120 + 7*k**5\/60 + k**4\/24 - k**3\/6 + 11*k**2. Let v be g(7). Solve 4*w - v = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2446?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8. Let p(s) be the second derivative of s**4\/6 + s**3\/6 + s**2\/2 + s. Let z be p(v). Solve 3*d + z*l - 11 = 0, -4*d - l = -6 - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*i**2 - 10*i**2 + 36*i - 19*i**2 wrt i?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699566 is divided by 934.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*y + 474*y**2 + 1369*y**2 - 52*y)*(1 + 2*y + 3*y - 4*y).\nAnswer: 1843*y**3 + 1843*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41298 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 + 5 - (-116)\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*w + 35*w - 12*w)*(55 - 55 - 7*w)*(3*w**2 - 2 + 2)*(3 + 1 - 2).\nAnswer: -3528*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 17 + -1 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 133195 = -3*v, 90*b + 26652 = 91*b + 2*v. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 4*s + 76. What are the prime factors of l(5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 543, 1819, 3933, 6879, 10651, 15243?\n\"Answer: -y**3 + 425*y**2 + 8*y + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1673, -3346, -5019, -6692, -8365, -10038?\nAnswer: -11711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 563054 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1764432 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 8*t**2 - t - 23. Let b be r(11). Let x = b - -652. List the prime factors of x.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:03 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11145 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 2, d: 4, r: 2, u: 1, a: 2}. Give prob of picking 1 u, 1 d, 1 a, and 1 p.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.4. Let g = 2 + -7. Which is the closest to p? (a) g (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-140)\/(-16))\/((-3)\/(-12)). Let g be 2\/4 - 5\/(-2). Suppose -g*h = -2*h - 5. Solve 0 = -3*z + 4*r - d, -h = -4*z - 5*r - 0*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2232*m + 2176*m + 1410696. Does 199 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -24*g - 424. Calculate r(-25).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 80 - 94 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, a: 2, q: 5, p: 6, u: 1}. What is prob of sequence upg?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2053 + 7.2053. What is the closest to 4.1 in d, 3\/7, 2\/23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 plus -3224?\nAnswer: -3220.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*k = -s - 30, 0 = -s + 4*k + 18. List the prime factors of s + (1 - (2 - 35)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 279*h + 1557. Give n(6).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*v + 20, 0*r - v = -4*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-27)\/(-144))\/(7*156\/(-168)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -363*b*k**3 + b*k**2 - 59*b - 2*k**5 + k wrt k?\nAnswer: -2178*b*k + 2*b - 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(-t + t - t) + 48*t + 46*t - 29*t)*(3*t**4 + 3*t**4 - 4*t**4) + (2*t**4 - 5*t**4 + 2*t**4)*(-2 + 2 + 2*t) + 3*t**5 + 2*t - 2*t.\nAnswer: 127*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434 divided by -1.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -33*p**3 + 2*p**2 + 24*p + 20. What is q(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(1300)*-2)*-1 + 4*(2 + 1 + sqrt(1300)) + 2)**2 + 4.\nAnswer: 5800*sqrt(13) + 130845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*w - 20, x - 2*w = -6*w + 10. Suppose 5*p = -j + 24, x*j + 8 = p - j. Solve 5*v = -0*v - z - 5, -25 = 5*v + p*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 10. Suppose -r = 3*n + 21. Calculate the remainder when 1*8 + n\/(-4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.04746 (c) 2\/9 (d) 0.5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + ((-6)\/3 - -2). What is the derivative of k**4 - 6 + 2*k**4 - m - 5*k**4 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/15)*x)\/(x**(-2\/45)\/x)*(x*x**1)**40 assuming x is positive.\nAnswer: x**(3689\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 6, -2*u = 2*w - 6. Let n = -3 + u. Solve -t = n, q + t - 2 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8119*w = 7839*w + 13160 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-8)*(1 + -5507). Suppose -2*h = -0*h - 4. Let x be 320*(u\/h + 3). What is x rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675808 divided by 2.\nAnswer: -337904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j - 54. Let a = j + 31. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39754992 plus -221?\nAnswer: 39754771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 2*u - u**3)*(8 - 3 + 1) - 13*u**3 - u**2 + 8*u**2 - 6*u**2)*(6 + 4 - 2).\nAnswer: -152*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -11\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -147, -225, -305, -387, -471, -557?\n\"Answer: -f**2 - 73*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1029 + -992. Sort z, -1, 1 in increasing order.\nAnswer: -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 89*f**2 - 14*f. Let l = 40 - 23. Let r(h) = -30*h**2 + 5*h. Let t(y) = l*r(y) + 6*k(y). Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220016 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h = -17*h + 15*h + 330 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1377) + -3 + sqrt(1377)*-1 - sqrt(1377))*3 - (1 + -5*6*(sqrt(1377) + -1)))**2.\nAnswer: -21708*sqrt(17) + 450637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22.34? (a) 318\/11 (b) -0.06 (c) -2\/15 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + 1 + sqrt(175) + sqrt(175).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 260669.\nAnswer: 208535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + j)*(-4 + 3 + 3)*(76 - 14*j - 76).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -230 in 0.4, 1, 20918\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 3*w + 5*w)*(-323 + 75 + 38) in the form r + b*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 5*o - 59 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118692 - 61507. Let q be (-3)\/1 + 2*66094. Let i = w - q. What is i rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*sqrt(45).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11185 (base 11) to base 10.\nAnswer: 16186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -185544 and -185542 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -835 - -112723\/135. Which is the smallest value? (a) 1\/2 (b) q (c) 2 (d) 6 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 6*z + 887101 - 887121, 5*q + 3*z = 72 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**2*p**2 - 2*i**2*p*z + i**2*z - 19*i**2 - 5*i*p**2 wrt p.\nAnswer: 2*i**2*p - 2*i**2*z - 10*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5587*v**2 + 40*v - 114. Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19782331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30.58, 1.87, -3.2?\nAnswer: 30.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 9*v - 8. Let r be t(-7). Let n(o) = -o + 6. Let m be n(r). Suppose m = 4*h - 8 - 0. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + 19*r - 3*r**2 - 4 + 9 - 11 - 5 to m + d*r**2 + v*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 978475123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 59608.7434\nAnswer: -59609.7434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2369742068 to the nearest integer?\nAnswer: 48680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3903434 millennia to centuries.\nAnswer: 3.903434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*(-6759)\/6. Suppose 4*f + 3*b - t = 0, -4*f - b + 573 = -184. What is f rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 4107.\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 3*t + 2*t**2 - 15*t**2 to the form c*t + u + p*t**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19978158 and 4902?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 = -22. Let h be 231\/(-44) - 1\/m. Is 1 + h - -5*389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48\/5*r**5 + 9656\/5*r**4 + 8069\/5*r**3 + 2221\/5*r**2 + 0 + 202\/5*r = 0. Calculate r.\nAnswer: -1\/3, -1\/4, 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -310*a + 293*a + 102. What is the remainder when 40 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/575 and 17\/12425?\nAnswer: 285775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.8703662 + 0.9705202. Let o = m - -13.9. Round o to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -9178 (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 286 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.1 and 4.\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -2\/2717, -4\/43, 3 in ascending order.\nAnswer: -4, -0.2, -4\/43, -2\/2717, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949941845?\nAnswer: 3, 5, 241, 179801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 355. What is the units digit of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11098 + 11127. Are o and 37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 301*b**2 - 9766*b - 110. What is w(37)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -134882486 divided by 218\nAnswer: -618727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - s = 10*u + 52, 4*u - s + 40 = -5*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/7, -2\/5, -0.01, 0.5, 0.729?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -21*y**2 - 10*y - 11. Suppose -6*m + 2*m - 16 = -2*q, m + 5 = 0. Let u(p) = -4*p**2 - 2*p - 2. Let i = -25 + 36. Calculate i*u(k) + q*g(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*k**5 - k**3*t**2 + 21*k*t**2 + k wrt k.\nAnswer: 920*k**3 - 6*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 60*m**2 + 67*m - 1841. What is the ten thousands digit of i(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3 + 176*h**2 - 1138*h + 360.\nAnswer: -2*(h - 20)*(h - 9)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(1\/5)\/o)*o*o\/o**(-3\/7)*o**(-7)\/(o\/o**(1\/4)) assuming o is positive.\nAnswer: o**(-493\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1855*l**5 - 2*l**4 - 205*l - 6 wrt l?\nAnswer: 37100*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1089995083 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 5320792*o - 5 + 5.\nAnswer: 5320792*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 at least as big as -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 977*o + 216309. Give b(-186).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 + -65.85. Let u = i + 32. Let v = -33.22 - u. Is v smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11872743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 5, r: 3, p: 2, d: 2}. What is prob of picking 2 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1251990 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7824 - -3948?\nAnswer: -3876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3 + c**2 + 4*c**2 + 5*c + 9. Suppose 0 = -6*o + 2*o - 3*y - 43, 3 = -3*y. Let r be (-46)\/10 - 6\/o. What is x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197448 by 2.\nAnswer: 98724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/4 - 1093*j**3 + 2110151*j**2\/2 + 305107671*j + 77923047609\/4 = 0.\nAnswer: -121, 2307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + -12 + 21 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/10 + 129*f\/10 - 131\/5.\nAnswer: (f - 2)*(f + 131)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438365 and 1095?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 66, 99, 132, 165, 198?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3632682 divided by 2\nAnswer: -1816341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2684*d + 104747 = -340*d - 14797 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smrp when four letters picked without replacement from smsrpmsssmmpmsmssms.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(85) - sqrt(85) - sqrt(85) - sqrt(85))*-1)\/sqrt(5).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015113558278 to five dps.\nAnswer: 0.01511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778667 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1516*q + 12173. Calculate the remainder when 524 is divided by x(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 1. Let j = 10719 + -10725. Let c(x) = -7*x**2 + 7*x + 3. What is j*o(l) + c(l)?\nAnswer: -l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*v**5 - 423*v**4 + 385*v**3 - 72*v**2 + 4*v = 0 for v.\nAnswer: -1, 0, 2\/17, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from qzvaiaziza?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igfcv. Give prob of sequence ci.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 220, 221, 222, 223, 224?\n\"Answer: s + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.401002 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 3*s. Let a(o) = 3*o**3 - o**2 + 6*o + 1. Let z(n) = 3*a(n) - 5*c(n). Let x be 4\/2*(-6)\/3. Determine z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5521 - 33269\/6. Let o = 24 + l. What is the smallest value in o, 2\/3, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248391614*j**6 - 90*j**2 - 11353*j - 1.\nAnswer: 29806993680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**4 - g**3. Let a(w) = 5*w**3 - 5*w**2 + 2*w. Suppose b + 4*b - 105 = 0. Let d = 20 - b. Let u(c) = d*x(c) - a(c). Factor u(l).\nAnswer: l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0794263329 to 6 decimal places.\nAnswer: -0.079426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8054 - 6866 = -8*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t**4 - 12176*t**3 - 1308176*t**2 - 42209600*t + 5651232 = 0. Calculate t.\nAnswer: -258, -74, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2) + 20*-21. Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 442 - 0?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 121578283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*o - 40 = 0, -33*o + 32*o = -a. Suppose 0 = -2*x - a*s - 13 + 27, 15 = -x + 3*s. Sort 3, -14, x, -2 in descending order.\nAnswer: 3, -2, x, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 18*m**2 + 11*m + 186. What is j(17)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose 0 = -2*t - m + 18. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v**3 - 4*v**2 - v + 2. Let o be g(-1). Solve o = -8*y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -3*a**2 + 1\/60*a**5 + 0 + 0*a**4 + 0*a**7 - 1\/168*a**8 + 0*a + 0*a**6 + 0*a**3. Find the third derivative of y(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -3, 5, -58, 2 in ascending order.\nAnswer: -58, -3, 6\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 - 17 - 42 - 230*k - 10 to v + z*k and give z.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (-2)\/(-5) - (-99)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 5*m**2 + m**2 + 3*m**2 + 253 - 159 - 11*m**2.\nAnswer: -2*m**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/5))**(-1\/13)*(x*x*(x*x**2)\/x)\/(x*(x\/(x**(-5)\/x*x))\/x*x))\/((x*x*x*x**(2\/5)*x)**2\/(x*x*(x\/(x**(-1)\/x))\/x*x)**(-5\/14)) assuming x is positive.\nAnswer: x**(-12461\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257 - 253. What is the remainder when 23 is divided by 3 + p + 4 + -3 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066062 less than 1066099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 731*g**3 + 37684*g**2 + 78300*g.\nAnswer: g*(g - 675)*(g - 58)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*c + 84. Suppose -56 = 4*k - 4*j, -12 = -k + 2*j - 30. Let i = k - -18. Calculate the highest common divisor of i and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74751812 times -0.2\nAnswer: -14950362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 85*l**2 + 1549*l + 501. Give i(27).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5008 = -k + 2*v, 5*v + 3 = -2. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161824, -161853, -161900, -161965, -162048, -162149?\nAnswer: -162268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.88491 times 0.11\nAnswer: -1.1973401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -168) + -182 - (-11 - 0)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10096*d. Let g(i) = -i**2 - 4*i. Determine m(g(c)).\nAnswer: -10096*c**2 - 40384*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8893, -32634, -72201, -127600, -198837, -285918, -388849, -507636?\nAnswer: -642285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 46. Let t = 183 + -128. What is the remainder when t is divided by (-3)\/9*-3 + p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = -u. Suppose 3*x + 3828173 = u*z, 0 = -z - 3 - 2. Let w = 696066 + x. What is w rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + 2*sqrt(1377) + sqrt(1377) + sqrt(1377) + (sqrt(1377) + 1)*-5)**2 - (-5 + (-1 + sqrt(1377) - sqrt(1377))*-5)**2)*1.\nAnswer: 72*sqrt(17) + 1395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79190353 plus -1?\nAnswer: 79190352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let y = -9.6 - -10.63. Let z = h - y. Round z to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*b - 10*b. Suppose -x = 2*a - 441, 431 = -a + b*a + 3*x. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 times 3903\nAnswer: -13270.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2117*d - 2291*d + 90780 = -1242*d for d.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 220105410?\nAnswer: -220105403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5029*r + 5071*r - 781 = 17 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 2. Solve 5*n = q*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:25 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 2*x**2 - 2*x - 2. Let z be t(-3). Suppose 4*s = -z + 1. Is 8 a factor of 22 - s - (0 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 29*l - 2*j + 51, 4*j = l - 57. Suppose l*a - 54*a + 20312 = o, -2*a = o - 20307. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7542677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) 8.2 (c) -1228 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 35. Let n = v + -8. Let o = n + -13. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23000 (base 5) in base 6?\nAnswer: 11305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(76) - 1*sqrt(76))*3*4)\/(-4*sqrt(100)*1*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by 73.\nAnswer: -177\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 9. Let q be r(4). Suppose 84 = -2*y + 90. What is the second biggest value in y, -0.2, q, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/12 - 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255662 is divided by 205.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y - 2. Let n be d(4). Suppose -5*o + 77 = z, -4*o - 8 + 66 = n*z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 + 5*h + 2. Let m be s(-3). Let x(u) = -u**3 - 4*u**2 + 4. Let n be x(m). Suppose -30 = 3*k - n*k. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 - h**2 + 3*h**2)*(-84 + 84 + 18*h).\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - o. Let i(n) = 5*n**3 + 1050*n**2 - 367503*n + 42875000. Let b(z) = 4*i(z) - 12*v(z). Determine p, given that b(p) = 0.\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.122? (a) -7 (b) -3 (c) -1\/2 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, 4\/5, 3, -1, 2\/9, 15.63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -6242 - 12590. Suppose -3*z - o + 1717 = 0, 3*z - 10*o + 6*o = b. What are the prime factors of z?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**8\/s)))\/(s*s\/s**(-1\/3))*(s**8\/s)\/(s\/s**(-4\/3)))**(-11\/4) assuming s is positive.\nAnswer: s**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 5721749.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0093061999 rounded to 6 dps?\nAnswer: -0.009306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332417886 to the power of 1\/2, to the nearest integer?\nAnswer: 18232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -2*j**3\/3 - 2*j. Let c(v) be the third derivative of v**5\/60 - 15*v**2. Determine c(o(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 18 - 11 + 10*c**2 + 14.\nAnswer: -2*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = 3*r - 20, -5*r = -d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -17*m + 21*m. What is the biggest value in m, 3\/2, 3\/8, -2\/21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3925 and 13025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 171, 279, 407, 561, 747, 971, 1239?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72069 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 3. Calculate o(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 7*d - 7. Let o be -4 + 133\/28 - (-177)\/(-12). Let m(t) = t**2 - t - 1. Determine o*m(g) + 2*f(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/3 + 904*p**4\/3 + 111880*p**3\/3 + 3792284*p**2\/3 - 12360878*p + 11059188 = 0. Calculate p.\nAnswer: -274, -93, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.394633 and 6.\nAnswer: -8.367798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 + s + 4. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*q - 42, -34 = -10*u + 7*u + q. Calculate the highest common divisor of 405 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.6 * 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u**2 - 28*u + 6. Let y(r) = 17*r**2 + 25*r - 4. What is -6*i(c) - 7*y(c)?\nAnswer: c**2 - 7*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -862*d + 50. What is the hundreds digit of z(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-2)\/(-2))*16. Let u = -12 + n. Suppose 5*x - u*i + 29399988 = 2*x, -5*i = x + 9800015. What is x rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 16, 41 = 3*f + c + 4*c. Let i(k) = 0*k**2 + 4*k**2 + k**2 - f*k**2. Let l(v) = 10*v. What is i(l(g))?\nAnswer: -200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -74262 and -668360\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1916 - 11*y - 20*y - 19*y - 21*y - 1916 + 68*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:41 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926282, 926276, 926268, 926264, 926270, 926292, 926336?\nAnswer: 926408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + ((-12580)\/1870)\/((-2)\/11).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 92. Let z = s + -38. Let a be 13\/3 + (-5)\/z. Solve 3*x = a*k - 5, -3*x - 3*k = -4*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.30891 millilitres to litres.\nAnswer: 0.06430891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-13)\/((-104)\/(-24)). Suppose -3*t + 3*t = -z*t. Put t, -1, 5 in increasing order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034236?\nAnswer: 2, 7, 43, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)\/(3*(-2)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -1\/4, 0.218, 5, -2, -4 in decreasing order.\nAnswer: 5, 0.218, -1\/4, -2, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1086)\/(-26607)*(-42)\/9.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0)\/(-1) - 1. Let r = d - -1. Let f = 148 - 1330\/9. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-11))\/((-4)\/(-2)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 7*g + 10 = -3*g, 4*h = 4*g + 8. Suppose h*i - 4*u - 2518 = 0, -6*i = -5*i + 3*u - 835. List the prime factors of i.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39 less than -0.295166?\nAnswer: -3.685166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 1417578?\nAnswer: 11340624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021021 + -1220211201?\nAnswer: -1222002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*l - 1, -4*l - 5 = -3*d. Let p(i) = i**3 - 6*i**2 - 2*i - 4. Let g be p(d). Let m = g + -27. Solve 0 = m*o - 0 + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/(3\/((-2430)\/20)) and 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366 and 6942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.34 - 3.36. Let l = g - -12.06. Let d = -3.6 - l. What is d rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + j + 49, -u - 2*j - 1377 + 1414 = 0. Solve 20 = -4*l - x, 4*l - 7 + u = 4*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((-9)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 - 179. Calculate the remainder when 20 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 4*n + 16 = -10*f, 2*f - 4*n = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vveesesve. Give prob of picking 1 e and 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 6510490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/45852311 = 4\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65875 - 65905 + 3*x**3 + 131783.\nAnswer: 3*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s\/(s**3*s)*s)**(-48) assuming s is positive.\nAnswer: s**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 - -88. Suppose -8*q + 1040 = -x. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 30\/(-9) + 4. Let t = 12 - 7. Sort 0.4, d, t.\nAnswer: 0.4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 13303809315710?\nAnswer: -13303809315710.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59884 and 63536924?\nAnswer: 63536924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.214381042 - 0.04?\nAnswer: -0.254381042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 4*z - 7. Let r be k(-7). What is the units digit of 1434\/14 + (r\/(-49) - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 2*q - 5*q. What are the prime factors of q + -50 - (3 - 0\/(-1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1122.\nAnswer: -1\/1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 26 = -4*v + 4*b, -3*b + 9 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a. Let t(o) = -4*o - 14. What is t(g(q))?\nAnswer: 32*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + y + 17, 0 = -4*n - 0*y - y + 11. Solve 0 = -74*s + 72*s - n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00158724 rounded to five decimal places?\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7218 or -3414711\/473?\nAnswer: -7218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/(-10))\/((-24)\/(-4740))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41536, -41883, -42462, -43273?\n\"Answer: -116*n**2 + n - 41421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**3\/6 - 5*m**2\/2 - m. Let c(z) = -z**2 - 7*z + 7. Let j be c(-7). Let t = j + -3. Give h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*(-14)\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 834 - 569. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**3 - 352 + 352.\nAnswer: 37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**2 + 3*m + 1. Let w be a(-4). Let c = -169 + w. Let i(k) = k**2 + 3*k - 4. Let y be i(-4). Put -12, y, 4, c in decreasing order.\nAnswer: 4, y, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304 (base 12) to base 11\nAnswer: -1698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 262548 and 5489946?\nAnswer: 428215788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -594581*m**3*t**2 + 3585379*m**3 + 7*m**2*t**3 wrt t?\nAnswer: -1189162*m**3*t + 21*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -737, -7, -1 in increasing order.\nAnswer: -737, -7, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 - 228. Calculate the remainder when d is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -158.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7128, 28596, 64376, 114468, 178872?\n\"Answer: 7156*y**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -130*p - p**2 + 59*p + 10 + 61*p. What is h(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:03 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876.984 rounded to zero decimal places?\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - c + 15 = -11, 5*c + 14 = 2*x. What is the remainder when 37 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5148 + -5143. What is the nearest to 0.1 in p, -2860, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5928704 < -5928704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(275) - ((sqrt(275) - (-1 + sqrt(275) - sqrt(275))) + sqrt(275)) - sqrt(275)) - (sqrt(33) + sqrt(825)*-3)\/(sqrt(15)\/sqrt(5)*-4))**2.\nAnswer: 762*sqrt(11) + 177563\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**2)\/((w*w*(w*(w**(-6\/7)*w)\/w)\/w)\/w)*(w**(-6)*w*w)\/(w*w*w*w**(-3\/5)\/w*w*w*w)*((w*w*w**(2\/3)*w)**(11\/5))**36 assuming w is positive.\nAnswer: w**(1966\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101222 (base 3) to base 10.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 874, 3.3, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3386*k + 1616*k + 698*k + 457*k to l*k + m and give l.\nAnswer: 6157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/20 + (-2)\/(-20). Which is greater: -19 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d - 4*d)*(3*d**2 + 3*d**2 - 2*d**2) + (3*d - 2*d + 4*d)*(-4*d**2 + 5*d**2 - 2*d**2).\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:12 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 25*r**2 + 121*r - 20. Suppose -p = -5*n + 82, -5*n - 4*p = -p - 94. What is the remainder when t(-8) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:28 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 11*y**3 - y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.5 + 9.57. What is the biggest value in -1, h, 3, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73100 and 37281.\nAnswer: 3728100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*n**3 - 339*n**2 + 8*n**3 - 792*n**2 in the form x*n**3 + f*n + y*n**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/5*(-1 + 18\/12)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 18 = 4*h, -x + h + h - 2 = 0. Suppose 3*m - a + 3*a = 7, 5*m - 13 = -x*a. Put 0, 2, m in descending order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1120, -8886, -29938, -70912, -138444, -239170?\nAnswer: -379726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*p - 386 - 86, 330 = -3*j - 5*p. Let d = j - -114. Let x be 2 + (-20 - -8)*d\/2. Solve 4*t = -3*i - 14 - 2, 2*t = 5*i - x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(192))*-1)**2 - sqrt(192)) + 4 + 0 + -4 + -4.\nAnswer: 8*sqrt(3) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 622*j = -626*j + 12, 5*j - 10 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 c, and 1 n when four letters picked without replacement from {j: 1, c: 7, l: 3, n: 2, e: 7}?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*y**2 + 58*y**2 + 64*y**2 + 3*y**2 - 4*y**2 - 2*y**2 + (y - 3*y + 0*y)*(-3*y + 3*y - 2*y).\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1292\/3885 - -1\/1295. Let h(w) be the second derivative of 3\/2*w**2 + l*w**3 + 25*w + 0. Determine h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66213 at most as big as -0.317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 4*p + 4*p)*(2*p**2 + p**2 - p**2) - 3*p**5 + 6*p**5 - 4*p**5 + (23*p**3 - 407 + 407)*(-4*p**2 - 4*p**2 + 3*p**2) - p**5 - 2 + 2.\nAnswer: -119*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/4 (c) 0.04356 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 947*g**3 - 1116*g**3 + 168*g**3 - 33*g.\nAnswer: -g**3 - 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49908211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57793352?\nAnswer: 2, 61, 118429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8533 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3 - c**2 + 4048*c + 11846 wrt c?\nAnswer: 3*c**2 - 2*c + 4048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 16*l**2 - 46*l - 22. What are the prime factors of n(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136750 is divided by 13049?\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j. Suppose 0 = 3*x - 2*x - 3, j = -4*s + 3*x - 13. Let c(y) = -22*y. Let u be c(s). Calculate the greatest common divisor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d**2 + 5873*d + 26882. Determine j(-289).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 382 = 437. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485 and 679?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 6) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-22)*8\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4540514, -36324135, -122593970, -290593127, -567564714?\nAnswer: -980751839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(3\/(-1)))\/(-1). Let f(c) = c**2 + c - 28. Let g be f(6). Let l(r) = -10*r - 4 + g*r + t - r**2. Calculate l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a factor of 37979234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 1746. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13230110132 - 231?\nAnswer: 13230103301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1 - 20*i**2)*(-2 + 2 - 7*i) as m + l*i**3 + d*i**2 + n*i and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from sggpsgssspsgps.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58108 and 2587?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 721, 2798, 6259, 11104, 17333?\n\"Answer: 692*m**2 + m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3322 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -239*u**2 + 3832*u + 3926. Determine h(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 9*q + 37. What is the remainder when 182 is divided by t(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let a be -5*(l + (-24)\/(-15)). Solve -a*q = 5*n - 0*q - 5, 4*q = -4*n + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61853783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.52242296 rounded to 2 decimal places?\nAnswer: -16.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 14 - 68 - -82.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20906 - 2*x - 20906.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1406062049\/2 smaller than -703031024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (11 - (7 + 0 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -51719.\nAnswer: 4\/51719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 63 = -7*n. What is the hundreds digit of ((-309)\/n)\/(3\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - (-21)\/6. Let d(c) = c**3 + 14*c**2 - 8*c**2 + c - p + c**2. Calculate d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 7) in base 9?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 17*k + 2*k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 = 3*k + 1, -d - 11 = -4*k. Suppose -i - 4*y + 3*y = 1, -5*i + 45 = -5*y. What is the highest common divisor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1780*h - 12691 = 1632*h - 3153*h for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6 + 2. Suppose -3*c = -n*c. Let x(g) = -g**3 - g**2 + 2*g + 65. Is 13 a factor of x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/3801 and -61\/4706.\nAnswer: 98826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-5474)*17)\/(12\/70)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/17 and 2\/(1 - 164\/116)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 24320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {z: 9, d: 2, y: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -860522 rounded to the nearest ten thousand?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 935690 - 659814 = -695432. Round h to the nearest 100.\nAnswer: 74700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 23805672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158571 is divided by 1096.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 26*q + 65. Determine z(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)*b**(-3\/8)*b)\/(b*b*b*b*b**(-7)\/b*(b\/(b\/(b\/(b\/b**4*b))*b))\/b*b))\/((b**(2\/3))**(-2\/5))**(-8\/7) assuming b is positive.\nAnswer: b**(269\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*s**2 - 132*s**2 + 54*s**2)*(-s**2 - s + s) - 2*s**4 + 2*s**4 + 2*s**4 to q*s + z*s**2 + t*s**4 + g*s**3 + o and give t.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -68. Let m be z*-2*200*(-379 + -1). Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:02 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1471545 divided by -617\nAnswer: -2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -895*j + 47580 - 11440 + 9505 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*h - 2, -h + 0*h - 2 = m. Let b = -1 + 9. What is the remainder when b is divided by ((-35)\/(-14))\/((-5)\/m - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 391, 393, 395, 397, 399?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238876791*o**2 - 208046271?\nAnswer: -477753582*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - 12\/(-42). Let d be 11 + 2 + -2 + b. Let w = d + 4. Calculate the highest common factor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/264)\/((-666)\/1221).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1171336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 10*f + 2 + 0*f**2 - 2*f**2 - 8*f as b*f**2 + c*f + n*f**3 + r + t*f**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 21*g**2 + 10*g + 502. Determine o(-21).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 444568*q**2 - 9456813.\nAnswer: 889136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(176) + -4)*6)**2*2.\nAnswer: -27648*sqrt(11) + 213120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/12 + 4*h**3\/3 + 7*h**2\/2 - 4*h + 39. Calculate j(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from zsptzszzzsspzz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 117, 2, -1, 5, 43 in ascending order.\nAnswer: -3, -1, 2, 5, 43, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 19)*(-2 - -178). Let s = 6681 + n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 2*u + 7825. Let v be a(0). Suppose -18460 = -5*l + v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 2126?\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1936, 7770, 17504, 31144, 48696, 70166?\nAnswer: 95560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35568879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -130 (b) 0.1 (c) 1\/5 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(1\/2)))\/x**(-3))\/(x**(-1))**(-15) assuming x is positive.\nAnswer: x**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935*p**2 + 11*p**3 + 935*p**2.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7*x + 14 = 2*x, -x = -4*o + 18. Let v = 169 + -159. Let i = v + 13. Calculate the remainder when i is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**7\/595 + h**6\/510 - 7*h**5\/510 + h**4\/102 + h**2. Solve y(x) = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39742904 divided by -9935726?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -113220056?\nAnswer: -113220062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - (1584\/112)\/(-11). Let f = 9 + -4. Let y = 9.6 - 1.6. Which is the second biggest value? (a) f (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 14a933a?\nAnswer: 14a9337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3\/7, -3, 0.027 in decreasing order.\nAnswer: 0.027, -3\/7, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {v: 9, t: 2, s: 3, b: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14046264 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 11?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = -2*n + 6*p - p + 306, 6*n = p - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**6\/240 - y**5\/20 + y**4\/4 + 5*y**3\/6 - 3*y. Let c(r) be the second derivative of f(r). Let c(k) = 0. Calculate k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p = 0, -p = -f + 449. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = 0, 3*f + 36 = k - 1093. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154381 = -9039*q - 253009 - 252219 - 706716 for q.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-126 + 168 + 257\/(-5))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.4 + 34.9. Is -2\/41 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/(m**(2\/3)*m*m))**3\/((m**0\/m)**(-49))**(-1\/6) assuming m is positive.\nAnswer: m**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (117 + -1)*(-5 - 108\/(-12)). Suppose -304 = 5*n - r. What is the remainder when 107 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 105.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4689*c - 175 + 175.\nAnswer: 4689*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -67. Solve z*d - 9 = -0*d - g, -4*g = -2*d + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -182*c + 178*c + 22*n + 132044, -5*n - 98987 = -3*c. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28179?\nAnswer: 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34705 - 175145405.\nAnswer: -175180110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26631 smaller than 26635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*q = -1545*q - 913 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76775967 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -9. Let w = 40.38 + z. Let n = w - -0.12. Which is the closest to -2? (a) -5 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134420801.\nAnswer: 19, 7074779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522 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: Is 110 a factor of 177969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/10707 - -53539\/21414. Factor -p*f**2 + 3\/2 + f.\nAnswer: -(f - 1)*(5*f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*i + 363*i = 28020. What are the prime factors of i?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 - 41. Suppose 3*u - g = -x + 82, -4*x + 860 = 4*u. What are the prime factors of x?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 1, s: 4, z: 1, m: 2}. What is prob of picking 2 m and 1 g?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1 (c) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 - 145. Put -0.1, l, 0.3 in increasing order.\nAnswer: -0.1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-42)\/(-1 - 6). Which is greater: g or 1\/116?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 29747?\nAnswer: -3\/29747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - n - 238 = 0, 0 = -i + 5*n - 168 + 38. Let d = 46 - i. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (163 - 98) + 430\/(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -8, 3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21233013 + -23?\nAnswer: -21233102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153263308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 1. Let m = 6 + -6. Suppose 5*j - 3*v + 35 = m, -5*v + 12 = -5*j - 33. Does 5 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146\/(-14892) - (-6)\/(-36)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 2, 342, 3, -3, -20 in decreasing order.\nAnswer: 342, 103, 3, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let o(r) = 66*r - 13. Let b(w) = 11*w - 2. Let z(v) = -39*b(v) + 6*o(v). Calculate z(n(g)).\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 204413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20929700 and 26500?\nAnswer: 104648500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 e, and 1 u when three letters picked without replacement from iuyiyyyleiyey?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + (-1 + 2 + 1)*(3 - 3 + 2))*(5*t + 2*t - 2*t)*(1 + 6 - 4)*(-4 + 1 + 1).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -19478*l - 16726. Let k(t) = 9740*t + 8365. Let c(s) = 11*k(s) + 6*p(s). What is the derivative of c(f) wrt f?\nAnswer: -9728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 184, 257, 300, 301?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(10))\/sqrt(2) + ((sqrt(72) - 1*sqrt(72)) + sqrt(72) - sqrt(72))**2)*-3.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 3196?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 44\/(-462)*-72. What is the nearest to -4\/3 in 3, c, 2\/89?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3269?\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 294. Let v = 211 - z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 105*n + 14637. Let s be v(-136). Calculate the greatest common factor of 1139 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3094.56 - -2487.8. Let w = -607 - y. Which is the third biggest value? (a) -4 (b) w (c) -5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z + 8*z - 8*z)*(-2*z + 2*z + 2*z**2).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1528, -3018, -4508, -5998?\nAnswer: -7488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22226873?\nAnswer: 22226873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Suppose -4*d - 4*j + 24 = -0*j, 0 = -2*d + 4*j - 12. Let t(g) = 3*g**2 + 10. Let l(o) = -o**2 - 4. Let r(c) = d*t(c) + 5*l(c). Give q(r(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 14*a**2 + 5. Let w = 3555 + -3569. Calculate b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -88 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisisjijiiijijji. What is prob of sequence is?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*k + 29*k - 26*k)*(-2*k + 6*k - 2*k).\nAnswer: -62*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1884 and 72?\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411602 by 1.\nAnswer: -411602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3202 + 732 = -19*j. List the prime factors of 697 + ((-26)\/j - 21\/(-5)).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -599521.7333 and -9.75.\nAnswer: -599531.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + f + 268 = 41*b, -b + 0 = 4*f - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3216)\/1876)\/(6\/(-70))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 20*t. Let x(u) = -992*u + 12. Determine x(h(f)).\nAnswer: -992*f**2 - 19840*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.63 - 1.36. Let s = 0.01 - y. Put -4, -0.3, s in increasing order.\nAnswer: -4, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*o - 224*o + 13452 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 148 + 23)*(-l**2 + 7*l**2 + 2*l**2).\nAnswer: -1312*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffjyyjjkyfjjfykkj. What is prob of sequence jjj?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1016*a + 4034. What is q(4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*c**3 - 62*c**3 + 3*c**2 - 67*c**3 + 182*c**3 - 1 - 14*c in the form u*c**2 + r*c + p*c**3 + w and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 71.887. Let i = v - -0.1130118. Round i to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4443343 (base 5) to base 3.\nAnswer: -10221221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1178 + -836. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - -1) - (-2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36971, -73992, -111015, -148040?\n\"Answer: -t**2 - 37018*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1049, 2 in decreasing order.\nAnswer: 1049, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -398 + 402.13. Let u = z - 3.93. Is 12 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, 3080, 6523?\nAnswer: 9966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/8)*x*x*x\/(x\/(x*x*(x*x**(2\/11))\/x))*(x\/((x\/(x**(-2\/5)*x))\/x*x*x))**(16\/9) assuming x is positive.\nAnswer: x**(13249\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 806563, 806566, 806569, 806572, 806575?\n\"Answer: 3*f + 806560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089 is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3258 is divided by 1065?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*g = 951*g - 480*g + 3168 for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/10 - 1617\/245. Let y(a) be the first derivative of a**2 + 3. Determine y(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/70 and -173\/540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 11:31 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 + 11. Suppose a - 8 = -3*n + 23, -2*n = -2*a - 10. What is the units digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -63, -142, -263, -432, -655, -938?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 6*x**2 - x + 6. Let v be y(6). Calculate the remainder when (-14 - -23) + v + -2 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 3, -1\/3, 2\/17, -1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/5)\/((-16)\/120). Calculate the remainder when 80 is divided by r*(1 + 8\/4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 + -343. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*l - 139*l + 24 = 4*u, 4*u + 5*l - 24 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2253 + -141931\/63. Let f = 27371\/874440 - -376\/1735. Let s = t + f. Which is the third smallest value? (a) s (b) -0.02 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2035100, 2035135, 2035232, 2035421, 2035732, 2036195, 2036840?\nAnswer: 2037697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23976020, -23976016, -23976012, -23976008, -23976004, -23976000?\n\"Answer: 4*o - 23976024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.073491 - -639.777491. Let n = 633.703908 - d. Let s = n - -6. Round s to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/53 and 21\/10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvf when four letters picked without replacement from {v: 9, h: 2, f: 1, s: 7}?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-3)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457 - 214. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 40*l**2 - 8*l - 3. Let h(k) = -k**2 - 1. Let n(i) = -4*h(i) + u(i). Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 124317*d**3 - 2*d**2 - 1. Let a be m(3). Suppose -15356547 + a = -3*i. Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {e: 3, h: 1, i: 1, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -56152733*l. Let k(u) = 2*u. What is j(k(m))?\nAnswer: -112305466*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.881 + -74.038. Let q = -0.081 + k. Let h = -82.00049 - q. What is h rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 1191 - 2021 = 822 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 603920 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 - 16*n**2 + 6*n - 14. Let a be h(-10). Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17245.13795 take away 9482?\nAnswer: 7763.13795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -190 - 17*i + 2*i - 194 + 580 - 195. Let w(h) be the third derivative of -h**4\/24 + h**3\/6 + 4*h**2. Let y be w(2). What is d(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11. Suppose y = 2*n - n - 9. Calculate the remainder when 16 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g**3 - 13*g + 9. Let q(w) = 7*w**3 - 6*w + 4. What is -4*a(j) + 9*q(j)?\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/80*1)\/((-343)\/(-14406)).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 180. Let s = -38 + n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*(-11)\/3 - -5) + 2. What is the third biggest value in g, 0.5, 0, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111636 is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 24*r - 38. What is the remainder when 55 is divided by g(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, -254776.\nAnswer: -254776, -20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1961*q + 370*q + 9546 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {h: 2, q: 1, w: 2, m: 1, a: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 65 = -71*b - 13. Suppose 3 = 4*s - s. Put 1\/2, s, b, 0.1 in increasing order.\nAnswer: b, 0.1, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*p**3 - 2*p**2 - 627*p**3 + 552*p - 241*p wrt p.\nAnswer: -5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 286*l**2 - 3463*l + 457178. What is v(144)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.8, 2, -77\/6 in decreasing order.\nAnswer: 2, -12.8, -77\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 122*d**3 - 5*d**2 + d + 2. Does 60 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y**4 + 21*y**3 - 3020*y**2 + 3746571*y?\nAnswer: 60*y**2 + 126*y - 6040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110132011123 (base 4) in base 11?\nAnswer: -30356aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 20 = 5*d - 31, 4*a + 26 = 2*d. Let p = 11 + -9. Suppose -21 = -4*h - c, -37 = -p*h - h - 5*c. Solve -19 = 3*g + 2*k, -g = 2*k + d + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let n = 6 + -8. Let k = n + 4. Let o(z) = -z**k + z - z. Give o(m(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.94 + 0.06. Let w be (4\/32)\/((-3)\/12)*6. Let h = 81 - 86. Which is the second biggest value? (a) w (b) h (c) n (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 + 3 + 26*j**2 - 10*j**2 + 0 - j wrt j.\nAnswer: 32*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656*u - 800*u = 813*u + 86 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*w**3 - 66*w**2 + 21511*w.\nAnswer: -1050*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -41*x + 2*x**2 + 2 + 45*x + 0 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4819)\/158 + 28 - 1\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -85 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2058\nAnswer: -1\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from xxfbxxbxbf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.011 + -0.059. Let q = t + 0.0699954. Round q to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -6)\/6 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2541 + 7452. Let t = n - 2744. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 <= -1593\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*1)\/((-3)\/(-6)). Suppose -x - 6*x - 98 = 0. What is the units digit of ((-162)\/(-63))\/(g\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16363800 and 2205?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5165, -10316, -15469, -20624, -25781?\nAnswer: -30940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2*f**3\/3 + 12. Let r(h) be the second derivative of h**3\/2 - h. Determine r(j(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.9. Let k = -4.9 - -5. Which is the third smallest value? (a) l (b) -2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*r - 7 + 2)*(0*r + 0*r - r**2 + (4*r - 2*r + 0*r)*(2*r - r + r)).\nAnswer: 6*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3\/9 - 1492*o**2\/9 + 60043*o\/3 - 771538 = 0.\nAnswer: 82, 291\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -103*n**3 - 1113*n**2 + 12*n + 6. Let o(s) = -100*s**3 - 1109*s**2 + 10*s + 5. Let z(h) = -5*i(h) + 6*o(h). Find the third derivative of z(d) wrt d.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 - 3*u - 4. Let d be n(-2). Let r(q) = d + 3*q**2 - 5*q + q**2 - 3*q**3 + 0*q**3 + 2*q**3. Let h be r(3). Solve -k - 7 + 2 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.8, -5, 2\/9, -0.13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*12\/9. Let y(n) = -n. Let m be y(c). Suppose -3*s + i = -6*s + 34, -5*i - 30 = -5*s. Solve 0 = -m*w + s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7439*q + 119020. Give p(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1088)*-2*-3)**2.\nAnswer: 78336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1909 - 199.49.\nAnswer: -2108.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16681 + 5593 = 264*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**1)*g**(-4))\/(g\/g**4*g*g\/g**(-7)) assuming g is positive.\nAnswer: g**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -30849158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -5\/2*s**2 - 15*s - 13 + 1\/3*s**3. Is x(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 142*u + 5951. What is n(-42)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-10 - (5 - 9) - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 - 4*t**2 - 3*t + 8. What are the prime factors of n(-4)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k - 364 - 57*k**3 - 68*k**4 + 65*k**4 + 211*k**3 wrt k?\nAnswer: -36*k**2 + 924*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 37 = 7*i, -15464*v - 46 = -i - 15467*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1501 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 smaller than -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -bb34 (base 13) to base 2\nAnswer: -110010111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28206768553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (495\/10)\/(-9) + 5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Let g be i*1\/(3\/(-5)). Is 11 a factor of (-1)\/g - (-327)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opeopxppccxcoepop. What is prob of sequence cpec?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 2\/7 (b) 0 (c) -4 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033 is divided by 288?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 2*m**2 + 4. Let b(c) = c + 1. Calculate -4*b(q) + k(q).\nAnswer: 2*q**3 - 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - -1. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -4745837, 1.\nAnswer: -4745837, -0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 37, 7\/30, -5, -0.5, 1\/2.\nAnswer: -5, -0.5, 7\/30, 1\/2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 32350*c**2 + 6320000*c - 313500000.\nAnswer: 5*(c - 6270)*(c - 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 10*m + 7. Let g be h(-1). Suppose g = 4*t + o - 14, -4*o + 1 = 3*t - 16. Solve -3*u - 3 = 0, -2*v = 2*u + t*u - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671841494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1828, -1824, -1820?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(931)*-1)**2 + -3 + sqrt(931)*1 + ((0 + sqrt(931))*-5)**2 + (sqrt(931) + 4 + (sqrt(931) - 1*sqrt(931)))**2.\nAnswer: 63*sqrt(19) + 27943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i - 4*i)*(-56*i - 37*i - 32*i - i**3 + (0*i + 0*i + 2*i**3)*(-3 - 4 + 0)).\nAnswer: 30*i**5 + 250*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0 + 1 - 3 - 2 + 7*f + 0. Let p be 1\/(-2)*(-10)\/5. Let m be j(p). Solve -v + 2 = m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4154 + 4150.634. Round h to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11501 minus 77454220?\nAnswer: -77442719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427215 (base 8) to base 3.\nAnswer: 21021010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -11, -3, 1351\/12, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 98?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-100)*((-10)\/2 - (335\/(-18) - -10))?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**2 + 7*l + 9. Let r = 971 - 980. Let t(b) = 6*b**2 + 3*b + 4. Give r*t(z) + 4*y(z).\nAnswer: -6*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*v = -6, y = 2*y - 3*v - 8. Let s = 4 - y. Solve -2\/7*l**4 + 0 - 6\/7*l**s - 6\/7*l**3 - 2\/7*l = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29*f + 6263. Give u(-236).\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/35)\/(1*45\/(-2550))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -133?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/c**(10\/7))**(29\/2)*(c**(-12)\/c**(1\/2))**(-30) assuming c is positive.\nAnswer: c**(3089\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110641490?\nAnswer: 2, 5, 83, 133303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 20*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1492769 and 75\/52808?\nAnswer: 83595064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*q**2 + q - 5*q + 4*q + 17*q**3.\nAnswer: 17*q**3 + 297*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r*r**41*r)\/r))\/(r*r\/(r\/((r*r**(1\/4)*r)\/r))))\/(r*r**(-7))**1 assuming r is positive.\nAnswer: r**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x\/(x**22\/x))))\/(x*x\/((x*(x**16\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023479 rounded to four dps?\nAnswer: -0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1993745 by 2.\nAnswer: 1993745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z - 6. Suppose 0 = -6*d + z*d - 108. Let c = -24 - d. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 7 - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-723)\/(-482) + 246\/20 + -13. Factor 32\/5*l + 64\/5 + i*l**2.\nAnswer: 4*(l + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 555 = -3*p, 0 = 3*j - 4*j - 4*p + 111. Let g(s) = 57*s + 2. Let o be g(-2). Let a = o + j. What is the nearest to -1 in a, 0, -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539495772 and 7596?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799824 is divided by 244.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 383 + 3*n - 769 + 386.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/7)\/(27\/756). Suppose -7*z + 3 = -m*z - v, z + 6 = -2*v. Solve k - 5*y - 1 = -4*y, -4*k + 5*y + 8 = z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/4, 2\/13, 2.8, -0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - -104. Solve 4*x - b*x = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6485731.56s in weeks?\nAnswer: 10.7237625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 180741387 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59254 and 1075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -37601685294 and 3827.\nAnswer: -37601681467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7413 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-3)\/(-38)). Differentiate 39*r**2 + z*r - 28 - 19*r with respect to r.\nAnswer: 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -797, -2787, -6665, -13061, -22605?\nAnswer: -35927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.56 + 0.08. Let t = -0.12 - -0.1. Let b = t + p. What is the third smallest value in 0, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o + 40*o = 3986052. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 3672.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 49*(-8)\/(-280) + (-4)\/10. Calculate the common denominator of ((-13)\/(-312))\/(q\/(-262)) + 4 and -53\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -5 - ((29 - 22) + 1 + -17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1347454?\nAnswer: 1347449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = -26750264 + 26748901 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 - 8*l**3 - 4*l**2 + 24*l + 18 = 0. What is l?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -3571, 3, 0, -42.\nAnswer: -3571, -60, -42, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 33 = 3*z, -3 - 4 = z + 5*f. Let a(l) = -l**3 + l**2 - 3*l + 6. Let x(u) = 3*u**3 - u**2 + 8*u - 17. Let c(r) = z*a(r) + 3*x(r). Calculate c(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 14*c - 18. Let g(a) = 5*a - 6. What is 11*g(s) - 4*z(s)?\nAnswer: -s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9163348 (base 10) in base 14?\nAnswer: -13075ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 20*o = 21*o + 5, -2*o - 10 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 25356020.3 to the nearest ten thousand.\nAnswer: 25360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11866572 and -0.5?\nAnswer: 5933286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1018 + -477. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 8*m**2 - 5*m - 7. Suppose -2*b + 6*b = -16. Let f(z) = 4*z**2 + 6*z. Let n be f(b). Suppose -103 = -9*g - n. What is q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-4 - (-11 - -17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -67*u**2 - 1 + u - 22*u**2 + u + u**3 - 3*u + 88*u**2. Let d(w) = -4*w**3 + 17*w**2 + 4*w + 7. Determine -d(o) - 5*y(o).\nAnswer: -o**3 - 12*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 3*q. Suppose 5*x - 127 = -f, 0 = -2*x + f - q*f + 48. Let t be 68\/10 + 1\/5. Solve 0 = -2*z + t*z - x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*y = 103 + 45, n - 172 = 4*y. Calculate the greatest common factor of 64 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1399, 2810, 4223, 5638, 7055, 8474?\n\"Answer: c**2 + 1408*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:58 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = p - 23, 4*z - 5*p = 57. Let c(w) = w**3 - 21*w - 11. Let n be c(-4). Suppose -z*v = -n*v + 72. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 292583189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -9\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 3*q**5\/20 - q**3\/2 - 2*q + 2. Let p(u) be the first derivative of x(u). Determine d, given that p(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 + 133797*h**2\/5 - 145184403*h\/5 + 7783754511.\nAnswer: 3*(h - 533)**2*(h + 45665)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 571 and 14275.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 83*z + 2 = -2*l, -4*z = -4*l + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1637030884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367 by -897.\nAnswer: -367\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i**0*i)\/i)))**(2\/139))**(1\/9)*(i*i*i*i*i**(-1\/2)*i*i)**47\/(i**(1\/2)*i**(-6)) assuming i is positive.\nAnswer: i**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 65492*i**2 + 9. Let d(n) = n. Give d(y(g)).\nAnswer: 65492*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + a + a = 0, 5*a = 2*b + 3. What is the least common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i + 8. Let x be z(-7). Let j = x + 82. Suppose 0 = 3*q - 2*q - j. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -31*b + 36. Let q be d(1). Let m(z) = 7*z - 32. Determine m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*n + 0 + 2 - 8*n)*(4 + 2 + 0)*(-60*n + 60*n + 15*n**2).\nAnswer: -2160*n**3 + 180*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6859\/4 - 1715. Let p be 1\/(-2)*(-4)\/(-12). Which is the nearest to n? (a) -2\/5 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 41364011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13950 and 85950.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/11 + 250*f**4\/11 - 3264*f**3\/11 + 3704*f**2\/11 + 56224*f\/11 - 105216\/11 = 0.\nAnswer: -137, -4, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y. Let b be r(1). Let n be -3*(-4)\/48*(-69 + 21\/(-3)). What is the closest to b in 0.3, n, -2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 4*d. Let s be g(5). Suppose -5*v + 2*y + 7 = -0*y, -v = -s*y + 17. Let r be -1*v - (-12)\/4. Solve -k + 4 = -r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.3784ns in milliseconds?\nAnswer: 0.0000573784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3686652504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w)\/w*w**4*w\/w**(1\/6)*w\/w**4 assuming w is positive.\nAnswer: w**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.41 + -8.\nAnswer: -20.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -748 and -0.4.\nAnswer: 299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let z(i) = -7*i + 5. Let x(q) = 6*t(q) - z(q). What is the remainder when x(9) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 4:26 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10340 divided by -6.\nAnswer: 5170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36.74 and 771.96?\nAnswer: -28361.8104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 + 2*f + 1. Suppose 4*o - 4*x + 88 = 0, 0 = -o + 2*x - 0*x - 19. What is the remainder when (11 - 10)\/((-1)\/o) is divided by u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -9. Let c = 2 - w. Is c + -1 + 3 + 10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269 + -264. Solve 0 = -s*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. What is the nearest to -1 in z, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 2. Let u be j(-2). Which is the closest to 1? (a) 2 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563976.\nAnswer: 2, 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - 4 - -5 - -2. Calculate the highest common factor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 22465?\nAnswer: -22502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k + k)*(-3 + 6 - 1) + 0*k + k + 0*k + (9 - 5*k - 9)*(4 - 2 - 3) - 3*k + 0*k + 2*k - k + 0 + 0 + (2 - 5 + 5)*(0 + 2*k + 0) - 2 + 2 + k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18392 - 18357. Let t(n) = n**2 - 39*n + 156. Determine t(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 483979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 29. Let q(h) = 8*h - 117. Determine 2*q(r) + 9*u(r).\nAnswer: -2*r + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z. Let d = -8 - -13. Let v(b) = 3*b**2 + 5. Let a(o) = o**2 + 2. Let r(u) = d*a(u) - 2*v(u). Give r(s(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2831)\/(-931) + -3)\/(-8 + 555\/70).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5545073 is divided by 58.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/4))\/(r\/(r\/(r*r**(-1\/4))))*((r\/r**(3\/2))\/r)**(-1\/14))**(-40) assuming r is positive.\nAnswer: r**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = -2*v - 5, -15 = 5*s + 3*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 441615 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 63883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -x + 7370, -y = -3*x - 8457 + 1083. What is the highest common divisor of y and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-10)*(-2)\/14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 40 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let l(p) = -7*p**3 + 35*p - 33. Let a(m) = -l(m) - w(m). Let r(n) be the first derivative of a(n). Differentiate r(o) wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:10 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -3 - (-34 + 55\/(-11)) and 111.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.230294 tonnes in milligrams?\nAnswer: 5230294000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.052 - -0.402. What is h rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -5.68. Let u = p - 8.7. Suppose 5*f - 21 = -6. What is the third smallest value in u, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-219)\/9*(1 - 4). Let i = w - 43. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - w + 5 + 3*w)*(-4 + 5 - 2 + (2 - 4 + 4)*(-2 + 2 - 2)).\nAnswer: -10*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -3)\/((-4)\/14). Suppose 69*a = 25*a. Suppose -19*r + s*r + 25 = a. Calculate the greatest common factor of r and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 630275.9ml?\nAnswer: 630.2759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven fifths of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4555686 (c) -3\/5 (d) 0.3 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 25*a**2 + 88*a + 71. Determine p(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b + 3*b**2 + 5*b**2 + 3 - 5*b**2. Determine x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5662.89528257 and 3.\nAnswer: -5659.89528257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -0.3, -1\/3, -2\/11, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.427 and 28070832195.\nAnswer: 28070832190.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v + 127. Give a(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2010 - 320142?\nAnswer: -314132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -23.612\nAnswer: -70.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*s + 4104 = -59*s. Calculate the remainder when 317 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**5 - 1092*k**4 + 12220*k**3 + 79860*k**2 + 137536*k + 70992 = 0.\nAnswer: -2, -1, 17, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let m(c) = 9*c - 9*c + 21*c. Determine t(m(b)).\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1594323\/4*x**3 - 59049\/4*x**2 - 3\/4 - 729\/4*x.\nAnswer: -3*(81*x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-42)*3 + (-55041)\/(-61005). Let y = 1\/83 + p. Find n such that 14\/5*n**2 + 2*n**3 + y*n + 0 + 2\/5*n**4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.56 minus 0.3?\nAnswer: -24.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 = 203*d + 2222 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 0.005968?\nAnswer: 7.005968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -13. Let k = m - 30. Which is the closest to k? (a) -3 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -6*o**4\/7 - 36*o**3 - 1206*o**2\/7 + 3840*o\/7 + 21600\/7 = 0.\nAnswer: -36, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -1\/6 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 3 + 3)*(2*q + 3 - 3) - 2*q**2 + 4*q**2 - q**2 + (3*q - 6*q + 2*q)*(2*q + 2*q - 3*q) + 1 - 1 - 7*q**2 to the form c*q**2 + p + t*q and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g**2 + 53*g + 14. What is the lowest common multiple of u(6) and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23688 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 766\/5 - 154. Suppose -17*u + 14*u - 3*j = -123, 0 = -3*u + 2*j + 118. Suppose -43*t + 3*t = u. Which is the third biggest value? (a) z (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 101*-2*216\/14. Let k = -3108 + 6233. Let n = k + y. What is the common denominator of -87\/10 and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20530 = -5*q - 5*i, -5*i + 16423 = -17*q + 21*q. List the prime factors of q.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7231*k = 5*n + 7233*k + 14, -4*n - 4*k = 52 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*n + 4 - 4 + 0 to the form j*n + z and give j.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*g + 123*g - 887 - 2181 = 70*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -880 + 888. Let l(i) = -i - 8. Let h be l(-6). Put q, h, -3 in increasing order.\nAnswer: -3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52\/39 + 4\/6. Suppose -5*t + 150 = 5*p, 4*t + x*p - 5*p - 85 = 0. Let w = 50 - t. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 196, -5, 0, -17, 13.\nAnswer: -17, -5, 0, 13, 68, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 - 53. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (8 - (8 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5039, -10729, -16419, -22109, -27799, -33489?\n\"Answer: -5690*z + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 713112 and 96?\nAnswer: 2852448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 16*o**4 - o - 24*o**4 + 10*o**4 + 9*o**2 to the form s*o**2 + b*o**3 + x*o**4 + h + d*o and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19501220 + 8043*l**2 + 19501220 in the form x + z*l**2 + d*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 422 or 423?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 233043939 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(17)*-4 - sqrt(34)\/sqrt(8).\nAnswer: -49*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 6035766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1883866 != -1883867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 0*l**3 + 0 + 2\/5*l**2 + 1\/5*l**5 - 1\/5*l - 2\/5*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-14 - -14) + (-2 - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2258, 2240, 2210, 2162, 2090?\n\"Answer: -q**3 - 11*q + 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 3*r - 2. Let y be b(-2). Suppose -2302 = -y*k - 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431 = 69*z - 397 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -28, 1\/5, 5, -5, -3\/23?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-42))\/((-125)\/75).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Suppose x + 6*k - 2*k = 22, 4*x - 5*k - 25 = 0. What is the units digit of d(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 63 - 2*w**2 + w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86.2 - 98.2. What is the second biggest value in -0.1, -13, 0.2, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 6. Let f be g(-11). What is the third derivative of 31*d**4 - 38*d**f - 7*d**4 + d + 21*d**5 + 14*d**5 + 63*d**2 wrt d?\nAnswer: -180*d**2 + 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {q: 2, o: 2, r: 1, a: 1, p: 4, u: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/8)*(-3)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*b + 6 - 26, 3*i - 3*b = -12. Let r be 64 + 8\/12*i. What is the highest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 1. Let i be y(-1). Let j = -4 + i. Suppose j = 4*a + 396. Round a to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.8 + 46.1. Let l = t - 20.8. Sort l, 5, 1, -3 in ascending order.\nAnswer: -3, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 12*b - 7. What is the hundreds digit of r(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1 - (-5 + 4)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/9, 4\/93, 1\/6, -7 in increasing order.\nAnswer: -7, -5, 4\/93, 1\/6, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21157760 and 2543?\nAnswer: 21157760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19834, 20112, 20576, 21226, 22062?\nAnswer: 23084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 10) to base 11\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100.4 - 102. Let z = j - -1.563. Which is the fourth smallest value? (a) 2 (b) 1 (c) -0.2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3648a (base 11) to base 6\nAnswer: -1043003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1085, -4368, -9839, -17498?\n\"Answer: -1094*q**2 - q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898010.\nAnswer: 2, 5, 89, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21199\/8 + 5405941\/2040. Find the common denominator of 65\/102 and k.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12604 and 120.\nAnswer: 378120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 34*s**2 - 11*s - 7. Let g be d(6). Suppose -14*i + g = -3567. Suppose -2*p = -129 - i. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010001011010110010 (base 2) to base 12.\nAnswer: -46012a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 1. Let r be -2*(2\/10)\/(10\/(-25)). Determine w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2029 = -6*o - 25739. List the prime factors of (-6)\/(-8) - (7 - o\/(-16)).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113814 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 412711 and 412709 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - 2731549\nAnswer: -2731549.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/13*736190\/22652*2*6\/200.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*w = -381, -3*h + 3*w = 8*w - 277. Put 1, 2, h, 8 in increasing order.\nAnswer: 1, 2, 8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 90 - 12 = m, 2*s = 5*m + 52. Let k = 1 - 1. Suppose -d + 39 = -k*d. Calculate the highest common factor of d and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axeruarxrsa. What is prob of sequence aau?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 871307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*m - 136 = 768 - 72 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350*l**5*n + 3*l**2*n + 4*l + 32*n wrt l.\nAnswer: 21000*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 662 - 331. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 + 435 = -m. Is 34\/161 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*5\/(-105) + (-6360)\/(-9). Find the third derivative of 694*o**2 + t*o**2 - 1559*o**2 - 137*o**6 wrt o.\nAnswer: -16440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 50*y - 18. Let u(n) = -25*n + 10. Give -3*g(a) - 5*u(a).\nAnswer: -25*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 1048, 2378, 4240?\nAnswer: 6634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43286389 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5661, 10855, 16049, 21243?\nAnswer: 26437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -6*v - 2*v. Solve 0 = 3*y - v - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36841072 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.54 and -0.068.\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661012 is divided by 60061.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 5*b)*(0*b + 2*b + 4 - 2).\nAnswer: 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or 28\/3?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 + h - 1. Let u(g) = -3*g**3 + 10*g**2 + 10*g - 4. Let v(c) = u(c) - 4*z(c). Let y(o) = -o**3 - 5*o**2 - 5*o. Give 5*v(a) + 6*y(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*v - 17 + 6 = 0, -p + 5*v + 14 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h - 42. Let d = h - 27. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 143 + (-1 + 5 - 3) - -3. Let s = -140 + o. Solve y - s = -4*y + j, -5*j = 4*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13103 - 3?\nAnswer: 13100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19201657.\nAnswer: 617, 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10322.\nAnswer: 2, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(1573)*2 - ((sqrt(1573) - (2 + -2 + sqrt(1573) - sqrt(1573))) + sqrt(1573))))**2.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -246255821 * -2\nAnswer: 492511642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-100)*5*5\/(-2)*193\/(-965).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*16417\nAnswer: 1641.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4187*p + 25092. Give x(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 5\/(10\/(-4)). Suppose i - r = 2*i - w, -3*w = 3*i - 3. Sort -3, i, 4 in decreasing order.\nAnswer: 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 10\/11*g**4 - 2\/11*g**5 - 8\/11*g**2 + 0 + 16\/11*g - 12\/11*g**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -2502?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*b - 4, 0 = 5*k - 5*b - 101 + 106 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 20 = 5*a, 5*a - 68 = -b - 53 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 12*j = -3*o + 11, -16 = -4*j - 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/5)\/(1\/5). Let t = 0.96 - -0.04. Let d = -0.8 + t. Which is the closest to -1\/2? (a) d (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = -103. Let d(v) = 3*v**2 - 27*v - 29. Let y be d(11). Let a = y - n. What is the highest common divisor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*k + 4*t, -k - 28*t = -33*t - 41 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8231 < -8233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 385 - 288 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 1148*x + 101963. Give t(-97).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - b**2 - b**2)*(9 - 7 + 23 + (-1 + 7 + 15)*(4 - 2 - 1))*(-4 + 4 - 2) as s*b**2 + x*b + w and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 101) + 9 + -1 + -10\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 104*i**2 - 107*i + 85. Give b(53).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s. Let t = 15 - 13. Let m(z) = 8*z + z**t - 8*z - 2*z**2. Calculate o(m(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -75. Let q(m) = -400*m - 1. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117279395.\nAnswer: 5, 23455879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Let y be 2\/u + (-21)\/9. Let l be 2\/(-4)*(-7)\/(-7). Is l < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 9*x**2 - 8*x + 5. Let z be r(-8). Let k(f) = f + z + 1 - 1 + 6. Let y be k(-8). Solve y*p = 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 1140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -51*n**2 + 2*n + 11. Let z(r) = 26*r**2 - 2*r - 5. Determine -2*u(m) - 5*z(m).\nAnswer: -28*m**2 + 6*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -0.5. Let d = z + 1.4. Let i = d + -3. Which is bigger: -2\/7 or i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17*p = -192. Calculate the remainder when 1133 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(7\/6)*s)**39\/((s\/(s**21\/s))\/(s*s*s**(-2\/45))) assuming s is positive.\nAnswer: s**(13001\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 - -238.71. Let n = j - -123.29. Let a = 122.0000053 - n. Round a to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-4)*16\/(-12). Let y(m) = -1 + p - 3*m - 4 + 6. What is the units digit of y(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269381 greater than 269394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 2*f + 40 = 17*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Solve 4*d = 3*b - 2*b + 19, o*d - 22 = 2*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 15*z. Let c(l) = -l**2 + 22*l. Give -5*c(t) + 7*w(t).\nAnswer: -2*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1805052281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*75\/20*(-8)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -14*d. Let s(h) = -h + 1. Let m(u) = -u**2 - 5*u + 8. Let a(g) = -m(g) + 5*s(g). Calculate a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5*z - 2. Let y(t) = 22*t**2 - t. Calculate y(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*r**3)*(1282 + 500 + 727) as p*r + z*r**3 + x + i*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 336667 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009374946 to seven decimal places.\nAnswer: -0.0000937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((108\/(-8))\/9)\/(6\/82). Which is the nearest to u? (a) -4 (b) 1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2033520 - 122?\nAnswer: -2034042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 3*h + 6*h + 0*h + 0*h + 3*h + (1 + 2 - 5)*(-h - 1 + 1) - 92*h - 18*h - 62*h - h + 0*h + 0*h + (-h + 0*h + 0*h)*(2 + 0 - 4) to z + f*h and give f.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2 and 73\/1062.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from bggbgggbegggbgvbg.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 398\/(-1393)*(-14)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 278*p**2 + 51*p - 218. What are the prime factors of w(6)?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1252*t + t**2 + 34651*t - 3092*t.\nAnswer: t**2 + 30307*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/291 + 65\/582. Let a(d) = d**3 - 2*d**2 + 3*d - 5. Let m be a(2). What is the closest to 0 in m, c, 5\/4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*z + 25*z - 1009 - 1931. Let s(q) = q**2 + q - 1. Let m(i) = -35*i**3 + 30*i**2 + 30*i - 30. Give z*s(b) - m(b).\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/12))**10)**(24\/7))**(4\/3))**12 assuming s is positive.\nAnswer: s**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111001 - 1010110010101010?\nAnswer: -1011011000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 61*j - 3. Let u(q) = 2*q**2 - 30*q - 1. Calculate 3*r(z) - 7*u(z).\nAnswer: -2*z**2 + 27*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 18*s + 3528. Let o be a(69). Solve -6*t - o = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*2)**2*6 + sqrt(1100) - -6*(0 + sqrt(1100))) + -5.\nAnswer: 70*sqrt(11) + 26395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -46*s. Let t(m) be the first derivative of -7*m**2 - 589. Calculate t(b(w)).\nAnswer: 644*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1905360.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 0. What is the tens digit of ((-3)\/z)\/(2\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {i: 1, f: 1, m: 2, g: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 615 - 544. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(3 - 5 - 1)*(0*o**2 + 4*o**4 + 0*o**2).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 133 = -3*n, -3*z + 0*n + 80 = 2*n. Calculate the highest common factor of 52 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -18*g + 152. Calculate u(-7).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 10868790.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 - 67*o + 7*o**3 + 6*o - 17*o.\nAnswer: 3*o**3 - 78*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*l = -469*l - 154. Determine b, given that -1\/3*b**l - 2 - 7\/3*b = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55833 is divided by 13856.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/60*-5*(-21)\/(-182))\/4?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**(-4)*(w\/(w*(w**(-4\/3)*w)\/w*w*w)*w*w)\/(w*w**1)*(w\/w**2*(w\/((((w\/w**(-2\/5))\/w)\/w)\/w*w))\/w)**(-14) assuming w is positive.\nAnswer: w**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24216 by -6.\nAnswer: -4036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 428 = u - 305, 926 = 5*d - 2*u. Let o = d + -122. Let k = -57 + o. Solve k*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-333.59.\nAnswer: 133.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59898094?\nAnswer: 2, 2417, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 6. Suppose 3*l = -4*l + 2*l. Suppose 17*w - 19*w + 4 = l. Calculate the smallest common multiple of r(0) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*a - 18 = 3*a, a + 9 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.5 - 117. Let x = -107.2 - t. What is x rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 338653552?\nAnswer: 1\/84663388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/60*(-12)\/(-90)*5?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -20231?\nAnswer: -20232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -37. Let d be -2 - (100\/(-26) - -2). Which is bigger: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*i + 7, -5*i = w + 2*w + 14. Suppose -4*k + 2 = -g, g - 3*k + 24 = 4*g. Let p = w + g. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 8*p - 7. Give m(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53, 4, -45, -94, -143, -192?\n\"Answer: -49*g + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.3 - 2.4409406.\nAnswer: 18.8590594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26255 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39 - -1)*(-11)\/(-4). Let l = r - 94. Calculate the greatest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:33 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -37 (b) 5 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2*s + 12 - 23 - s**3 in the form p*s**2 + u*s + i*s**3 + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3007 and 485?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*b - 4526 + 1499, -3*b - 4036 = -4*m. Suppose 4124 - m = 5*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - 6) + (-28 - -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -3 - (-6279)\/161\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20698 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: Let p(h) = h - 5. Let d(i) = -i**3 - 15*i**2 - 2*i - 22. Let s be d(-15). Let w be p(s). Suppose 0 = w*v - 2*v - 10. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.034 + 0.134. Let s be ((-224)\/840)\/((-12)\/10). Which is the third biggest value? (a) s (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2947.7 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5179*d**5 + 3428*d**2*k**3 + 29840*d*k**3 - 2*d*k - 9*d + 33*k**2 wrt d.\nAnswer: 103580*d**3 + 6856*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 801217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.93 + 43. Which is the fourth smallest value? (a) -2 (b) -0.1 (c) 3\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**2 + 0*a**4 + 1\/2*a**3 - 11*a + 1\/5*a**5 + 0. What is the second derivative of r(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -73 in increasing order.\nAnswer: -73, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**22*i**(-4\/5)\/i assuming i is positive.\nAnswer: i**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*j - 21*j + 100 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102292079 to the power of 1\/2, to the nearest integer?\nAnswer: 10114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times 0.1?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -aa + 284968?\nAnswer: 284869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 24 + 9 = 5*u, 0 = -g + 4*u + 12. Suppose g = m - 5*m + 32. Suppose 5*d + 4*c = 45, 2*c + m = d + 3*c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 7 = -u, 5*y - 319 = -4*u - 347 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -5.06. Let u = -0.094 - 91.906. Let a = u - -88. What is the smallest value in 2, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(1300)*1)*-3 - ((sqrt(1300) + 1 + sqrt(1300) + 5 - sqrt(1300) - sqrt(1300)) + -1))**2*-5*1.\nAnswer: 600*sqrt(13) + 58520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -346, 2, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by 59359?\nAnswer: -124\/59359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {m: 1, f: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44611970?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12786838*o**3 - 6071248.\nAnswer: -38360514*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (-49)\/(29988\/28692)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(95)\/sqrt(125))**2 + 1 + sqrt(19) + 5)*4.\nAnswer: 676\/25 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3059.\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(5\/18)\/(f**(-2\/3)\/f*f*(f*f*f**(-1)\/f)\/f))\/((f\/(f*f\/f**(-1\/2)))**(-18)*f**7*f*f\/((f*(f**(4\/7)*f)\/f*f*f)\/f)*f) assuming f is positive.\nAnswer: f**(-4093\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9072 - 6390. Suppose z = 7*r - 1259. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-72 - -52) - (14 + -3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {k: 1, b: 3, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 36. Give a(26).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = -2*n - 4*l, 3*n - 5*l + 14 = 0. Calculate the remainder when (-14 + 17)*n\/(1 + -2) is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - ((-24 - -42) + -44).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.03 - 8. What is the nearest to 1\/4 in -4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/8 + 74743407*c\/4 - 747434145\/8 = 0 for c.\nAnswer: -49828943, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -123 (b) -5 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-77)\/28)\/((-2)\/8). Let b(i) = i - 8. Let c be b(o). Solve 2*f - c - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (3 - 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-15)*5 - 1. Solve 24 = -c*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g + 75. Let j = g - -9. Is 770\/21 - 2\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 3*b. Let w(v) be the second derivative of -19*v**4\/3 + 16*v**3\/3 - 72*v. Determine 32*d(l) - 3*w(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184 + 25*o + 184 + (-4*o + 2*o + o)*(2 + 0 - 4) + (4*o - o - o)*(1 + 0 + 1) to z + k*o and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m = 4*y + 436, -162*y = -3*m - 166*y - 43 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 24*f - 327. What is v(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 53*q**2 + 284*q - 351. Calculate v(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -11*z**5\/20 - 734*z**2 + z. Let h = 4 - 2. Let r(g) = g**2 - 5*g**2 + h*g**2. Determine w(r(u)).\nAnswer: -132*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2 + 2. Let n(f) be the first derivative of 6*f**2 + 7*f - 50298. Determine n(m(h)).\nAnswer: 12*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j**2 + 7*j + 14. What is w(-5)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 10*z**2 - 6*z - 12. Let f be s(9). Suppose -f = -3*g - 0*g. Let v be (2 - -1) + -6 + g. Calculate the highest common divisor of 16 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 36. Suppose 1 - 5 = -i*s. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 1. Let x = 9 - 4. Let a be l(x). Let m(f) = f**3 - 10*f**2 + 12*f - 17. What is the lowest common multiple of m(a) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 3 = 60 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -98 + (39 - 15 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 585 by -18371.\nAnswer: -585\/18371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/28 and 1\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*l = -25, 80247*u - 2*l - 1 = 80244*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -1088. Suppose 5*c - c - w = 0. Let b = c - 3. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/15 - 54396*q\/5 - 163186\/15 = 0.\nAnswer: -81593, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.839 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*g - 37, 3 + 1 = 4*t. Let u be -2 + (g\/4)\/1. What is the tens digit of 27\/63 - (522\/(-7) - u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f + 70. Let k be j(9). Let c be -1 + 1 + -2 - -9. Solve 0 = -5*n - 4*p + 35, -2*n + 4*p = c + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1445, -9, -1 in increasing order.\nAnswer: -9, -1, 3, 1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129 and 0.375?\nAnswer: -48.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -101. Suppose 4*z - 212 = -b. Suppose 3*f - 3*d - z = 23, 2*f + 4*d - 14 = 0. What is the remainder when 50 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k)**(1\/11)*k**(-5)\/k**(-4)*(k**(-1))**(1\/6)*k**(-1)\/k*(k\/(k*k**(2\/11)))\/k assuming k is positive.\nAnswer: k**(-287\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164205520 - 7*h**3 - 164205520 + 0*h**3 - 4*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - u - 11 = 0, 41285*x - 6 = 41287*x - 2*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46510 or 46511?\nAnswer: 46510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 637626?\nAnswer: -40\/318813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 242, 350, 456, 560?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (177\/295*(-3)\/(-18))\/(1*(-25)\/(-30))\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1589*v**4 + 349*v - 2 + 369*v + 336*v**4 - 714*v wrt v.\nAnswer: -15036*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - i**3 - 2*i**4 + 4*i + 4*i**4 - 3*i - 2 - i**3 as u*i + d*i**3 + p*i**4 + b*i**2 + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110\/7? (a) 2\/11 (b) 29 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3617272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 31 + 65*u**2 + 3*u + 85 - 31 - 24 in the form w*u + c + r*u**2 and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 7351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 28*b**2 + 31*b + 37. Let j be d(27). Suppose -30 = 5*u - j. Solve 28*n - 20 = u*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1122?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 920*c**2 + 3 - 1.\nAnswer: -920*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/50*(-5)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43\/2 of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 0, -3*u + 5 = 4*r - 3*r. Suppose -s + 3*s - 132 = u. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545 divided by 65.\nAnswer: 109\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = 2*y + 83062. Let b = 89051\/15 + y. Let s = 2396\/15 + -497\/3. What is the common denominator of b and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 175 + 305. Let i be (2\/236)\/(220\/m). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -603 - -13652. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 + 3*h - 11*h - 10*h**3 wrt h?\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j + 2. Suppose -v - 2*u - 3 + 81 = 0, -5*u + 230 = 3*v. Suppose 32*a - v = 18*a. Let i(s) = -3*s**3 - 2*s - 4. Give a*t(n) + 2*i(n).\nAnswer: -n**3 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-16) + (-186)\/(-4). Find the second derivative of -17*s**3 + h*s**3 - 16*s**3 + 5 - 14*s**3 - 32*s**2 - s wrt s.\nAnswer: 6*s - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 27.574746 months?\nAnswer: 0.0022978955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 + 4*o - 3. What is q(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 7) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + y. Let s(l) = 12*l**2 - 6*l - 272. Let d(j) = -3*b(j) - s(j). Let r(t) be the first derivative of d(t). Give r(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 0 + 1 - 1 - 5. Let g(j) = -10*j - 36. Let c be g(-6). Suppose p + 20 = c. Calculate u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 + 29 - 10)*((-3)\/2 + 2). Solve 1\/7 + 3\/7*w - 2\/7*w**3 + 2\/7*w**t - 3\/7*w**4 - 1\/7*w**5 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Let j(a) = 6*a - 4. Suppose 0*v + 22 = 5*c + 4*v, -4 = -c - v. Let m(p) = 12*p - c*p + 3 - 11*p. Give y*m(i) + 4*j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 14*q**4\/11 + 388*q**3\/11 + 1834*q**2\/11 - 2908*q\/11 + 672\/11 = 0.\nAnswer: -21, -8, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16686*z**3 - 45431*z**3 + 258380*z**3.\nAnswer: 196263*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {d: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/96 and -59\/3756?\nAnswer: 30048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 20 = -3*d - d, -d + 5 = -q. Solve 2*h - 33 = -d*t, -2*h = 2*h - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 5. Suppose -6*u = 18 - 60. Let o(p) = -4*p + 6. Give u*s(d) - 6*o(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*h = -5*k - 126, 0 = -3*k - 5*h - 189. Put k, 2, 0.1, -2 in ascending order.\nAnswer: k, -2, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 4485.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663 by -3.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:04 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 2*p - 3*p)*(6*p**3 - 3*p**3 - 7*p**3) + 4*p**4 - 5*p**4 - 2*p**4.\nAnswer: 37*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -264650700 rounded to the nearest one million?\nAnswer: -265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*i + 33*i - 4485. Solve i = 6*c + 7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) -1 (d) -1\/31 (e) 2 (f) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let b(i) = i**2 - i - 1. Let a(q) = -153 - 155 + 307 + 2*q - 2*q**2 - q**3 + q**2. What is y*a(u) + b(u)?\nAnswer: -u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6193933.\nAnswer: 17, 364349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + -5*-2*(-2 + sqrt(1100) + 0 + -2)*-1))**2.\nAnswer: -73800*sqrt(11) + 1005129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2294 - -2303. Solve 30 = r + k*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/27, -0.1, 27\/4 in increasing order.\nAnswer: -4, -0.1, 2\/27, 27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*j + 6. Find the second derivative of c - j - 3*c**2 + 37 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5862246?\nAnswer: 2, 3, 13, 17, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270359, -270358, -270357?\nAnswer: -270356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 2*p**2 - 2*p - 1. Let o be k(2). Let d = o - -4. Suppose -2*q - 6 = 2*h, -4*q + 0*h - 17 = -h. Sort 2, d, q in ascending order.\nAnswer: q, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 2*f - 3. Let w(t) = t**2 - t + 1. Let c(b) = m(b) - 2*w(b). Let j be c(-5). Solve -2*l - 2*v = -10, 2*v + j*v = 2*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176556 (base 8) to base 6\nAnswer: -1220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.345798ug in milligrams?\nAnswer: 0.005345798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17*h**2 + 347*h - 11. Let z(m) = 8*m**2 + 173*m - 6. Determine -4*j(p) + 9*z(p).\nAnswer: 4*p**2 + 169*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*j - 24, -j + 5*j = -2*x - 48. Let v = x + 18. Sort -5, v, 6.\nAnswer: -5, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*o - 2918, 0 = 4*h + 5*o + 383 - 4277. Calculate the greatest common divisor of h and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16 - -16 - -8*1. Let b be h\/20 + 126\/10. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*b = -0*b - 3520000, -4*b + 880000 = g. What is g rounded to the nearest ten thousand?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:57 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m. Let w = -2710\/851 + 72\/23. Is w < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/3 - 6112448*o\/3 - 9340505138176\/3 = 0. What is o?\nAnswer: -3056224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1 + (-2 - -4). Let m = 32 - 30. Suppose -m*k = -3*k - 2*q + 8, 2*k - 5*q = -20. Solve k = -z - a + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.155239 and 5133090296.\nAnswer: 5133090296.155239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378442 is divided by 11467?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 360 + -231. Let b = -130 + o. What is the nearest to b in 1, -4\/3, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569942?\nAnswer: 2, 17, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0 - (1 - 4). Suppose f = 1 + y. Let a = 11 - f. Solve -2*o = o - a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -o + 4*o. Suppose -2*v = -f - 121, 2*v - 133 = -o*v + 5*f. List the prime factors of v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.57 times 30174\nAnswer: -47373.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 235405405919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o - 3*k - 0, 0 = -3*k + 12. Let c = o + -3. Suppose -c*g + 15 = 4*x - x, 0 = -2*g + 6. Does 2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -20*s - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75187440249*l + 15*l**2 + 75187440232*l - 19*l**2.\nAnswer: -4*l**2 - 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62136966 is divided by 1229?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 2*n. Let g = 4525\/308 - 162\/11. Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose -4*l - 4 = 0, f*g - 2*l + 3 = g. Suppose 303 = g*m + 38. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 3. Let m = 199 - 197. Determine c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18547190 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 + 0.83. Which is the second biggest value? (a) 4 (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7928129.\nAnswer: 11, 41, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43070076407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298150 and 1639825?\nAnswer: 3279650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Suppose 0 = 5*z - 4*o - 45, 0*o + o = 3*z - 34. Let g(l) = -l + 6. Let t(d) = 3*d - 13. Let c(w) = z*g(w) + 6*t(w). Determine b(c(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 20. Does 3 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*u - 516 = -388*u. What is the least common multiple of 5 and u?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 35 = -3*o. Let j be (1 - 0)*119\/o. Let u = -1 + j. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.324 to one decimal place.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/5)\/(d*d**(-6)\/d))\/((d**(-1)\/d)\/(d\/(d*d*d*d**(4\/3)*d))) assuming d is positive.\nAnswer: d**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 + -15256\/73. Let x(o) = o**3 + o**2 + 2*o - 2. Let f be x(1). Suppose w - 2*h + 8 = -f, 4*h = 3*w + 20. Is k equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q + 3*c + 12, -2*q - 4*c - 2 = 0. Solve -3*j - 9 - q = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 1. Let f be 4*(66\/68 - n). Let y be (1 + -3)*4\/8. Is f not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 5436, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 2*a - 1. What is y(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a\/(a**(3\/16)\/a)*a))*a*a))\/a)\/(a\/a**(-5\/11))*(a\/((a*a**(-1))\/a))\/a**(-3\/11) assuming a is positive.\nAnswer: a**(-703\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Suppose 0 = -73*n - 139 - 299. Let o(v) = -12*v + 2. Calculate n*z(m) + o(m).\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 - 10*a**2 + a + 7. Suppose 0 = -4*s + 3 - 19. Let y(q) = 3*q**3 - 9*q**2 + q + 7. Let l(j) = s*k(j) + 5*y(j). What is l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:43 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u + 95*u + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 88.63601 weeks?\nAnswer: 53607058.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-4)*((-267)\/(-5073) + 79\/(-57))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -217 - -235 - (1 - -4 - 14).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (2 + 4) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002809 rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -0.05, -1\/4, 1, 0 in decreasing order.\nAnswer: 25, 1, 0, -0.05, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 564, 1158, 1752, 2346, 2940, 3534?\n\"Answer: 594*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*x + 3*x + 7, -l - 3 = 2*x. Let n be (l - -3)*(-3)\/(-6). Is n at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + t = 22, -9 - 9 = -4*m - t. Let u(w) = -12*w + 38. Let j(s) = 3*s - 9. Suppose -22*r + 26*r - 8 = 0. Let g(o) = r*u(o) + 9*j(o). Calculate g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*a + 16 + 1, -43 = -9*c - a. Let o(z) = z. Let q be o(1). Solve -3*x = i - 3, -2 = -c*i - 3*x + q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.532626 years?\nAnswer: 0.02532626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 18*c - 44 + 24 to the form k + o*c and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 2*i + 9. Let d be a(6). Let l be d + 1 - (-2 + -34587). Is (-4)\/22 + l\/77 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**2 - 12*z + 7. Calculate y(-6).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 1162?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**7*o\/o**(-1)*o*o**(-2\/3))\/((o\/o**2)**(-17)*o**3\/(o*o*o\/(o**7*o*o))) assuming o is positive.\nAnswer: o**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2697 * 96.89\nAnswer: 261312.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755*w**3 - 21536*w**3 - 7446*w**3.\nAnswer: -25227*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(63)\/sqrt(9) + 5 - (-1 + 1*sqrt(175) - (2 + sqrt(175))**2*1).\nAnswer: 16*sqrt(7) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172, 693, 1626, 3025, 4944, 7437, 10558?\n\"Answer: 9*b**3 + 152*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-18) - (-4 - 40\/(-6)). Let v(r) = 4*r**3 + 9*r**2 + 15*r - 25. Let c(n) = 3*n**3. Let t(p) = u*v(p) + 3*c(p). Solve t(w) = 0 for w.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + s**3 - 170*s + 171*s - 1 + s**3 - 3*s**3 + s**3 + (-s - 4 + 4)*(-2*s**2 + s**2 + 3*s**2).\nAnswer: -2*s**3 + s + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7958 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 greater than or equal to -235727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2272*x + 1. Let k be y(2). Let v be (4 - k\/(-42))*(0 + -2). Let z = 224 + v. What is the nearest to -0.2 in z, -1, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c60 (base 13) in base 8?\nAnswer: 46342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01813 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(3107 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8.1. Let m = 3.6 - -0.4. Let x be (-1 - -3)*10\/4. Which is the nearest to z? (a) -3 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 10 = 2*g. Let o = g - -16. Calculate the remainder when (-2)\/4*-17*2 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*n + 5*n**2 + 4*n - 3*n**2 - 6*n to w*n**2 + a + j*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0 - u**2 - 2\/3*u**3 - 4*u. What is the tens digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635335 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 411*v + 9. Is 15 a factor of c(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 762300*i - 544017384.\nAnswer: 4*(i - 711)*(i + 191286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/907 + -47032\/9977. Let a = -673\/3 + 1231\/6. What is the common denominator of a and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 1. Let w be s(-3). Suppose 0*c - w = -2*c. Let g = 13 + -11. Is c smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100988323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, g: 6, z: 4}. Give prob of sequence mmm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2*(9 + -4))\/((-4)\/6) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 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 the greatest common factor of 94 and 9682?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.8, 0.4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 38. Let u(d) = -5*d + 152. Let y(k) = -2*u(k) - 9*x(k). Suppose 15 = 4*f - 37. Calculate the remainder when y(0) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -505874, -505870, -505866, -505862, -505858, -505854?\n\"Answer: 4*k - 505878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 - 10. Let k be s(5). Suppose -k = -13*n + 5*n. Solve 6 = n*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 = -45*n + 6*n + 196 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -188, -4\/5, 1, 519, 4?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(208))**2 + -2 + ((sqrt(468) + 1 + sqrt(468))**2 - sqrt(13)).\nAnswer: 23*sqrt(13) + 1988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8 + 0.6. Let t = 3 + s. Let p = -75.4 - -75. Which is the third smallest value? (a) t (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 44 + 15*u + (-5 - 3 + 1)*(-1 + 1 - 3*u) in the form g + i*u and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(13\/2)*c*(c\/c**(-8\/9))\/c*c*c assuming c is positive.\nAnswer: c**(187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 - -1679.2461.\nAnswer: 1680.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 648210846 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.869 + 29480322\nAnswer: 29480325.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -521, -1, 2, 0, -8 in increasing order.\nAnswer: -521, -8, -1, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*d**3 - 1 + 24*d**3 - 28*d**3 to the form w + j*d + k*d**3 + g*d**2 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740661461?\nAnswer: 7591, 97571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 198583\nAnswer: -17\/198583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7714 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 74, 147, 220?\n\"Answer: 73*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 1234, -180 in increasing order.\nAnswer: -180, 4\/9, 1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 27, -4, -7, -0.3, 12.\nAnswer: -7, -4, -7\/4, -0.3, 12, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68764, -68772, -68780?\nAnswer: -68788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + 3 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/2)\/((-183)\/122)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**3 - 232*n**2 - 165*n + 2346324.\nAnswer: 12*n**2 - 464*n - 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641 - 820 + 4*w**2 - 821 - 35*w**3.\nAnswer: -35*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/27 - 4\/18. Suppose 0 = 4*w - 4 - 32. Calculate the greatest common divisor of q and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.17, 5\/3, -4\/5 in decreasing order.\nAnswer: 2, 5\/3, -0.17, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6334? (a) 11 (b) -51 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 4*o - 11*o + o**3 + 5*o - 3*o**2 - o**2 to the form a*o**2 + k*o + y*o**4 + s*o**3 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -16*m**2 - 54*m + 1469. Let x(d) = -7*d**2 - 23*d + 735. Calculate 3*r(p) - 7*x(p).\nAnswer: p**2 - p - 738","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60385 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.5, 0.3, -6, 0 in increasing order.\nAnswer: -6, -0.5, -0.1, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28777)\/(-14)*-1*-2*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**3 - 3530*y**2 - 2360*y.\nAnswer: 5*y*(y - 236)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4\/4 - 3*k**2\/2 - 3*k + 22. Let a(d) = -2*d**3 + 7*d + 7. Suppose 34 = -2*g + 5*i, -2*i = -5*i + 12. Give g*f(h) - 3*a(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -14. Let z be -7 + l + 6\/2. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3110.1686 from -4.\nAnswer: -3114.1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 0 - 7)*(40*f + 35*f - 85*f - 9) as g + p*f and give g.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.49 - -8.09. Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - r + 1. Let j(f) = -f**2 - 3*f + 11. Let h(w) = -4*g(w) + j(w). Calculate h(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 14*p**2 + 13*p - 7. Let j be k(-15). Suppose -4*b + 19 = j. Let y be (-1)\/2*(-5 - b) - -2. Solve 0 = -d + y*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15106831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 45902534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.8. Let s = 6597.929 - 6595. Let q = s - -0.071. Which is the third smallest value? (a) -1\/5 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i**5 - 989*i**4 + 14399*i**3 - 65599*i**2 + 49231*i + 2940 = 0 for i.\nAnswer: -1\/18, 1, 7, 12, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14505 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984, 969, 936, 879, 792?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5022 and 144.\nAnswer: 40176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8253513 or 8253514?\nAnswer: 8253514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6? (a) -0.02 (b) 4 (c) 1\/50 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 6\/5, -3, -0.09, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 7*p + 18. Let a be v(-9). Suppose -2*h + 6 - 2 = a. Sort h, -3, 2\/11.\nAnswer: -3, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 1. Let o be y(1). Let w = o - -12. Suppose 0 = 14*v + w - 44. Solve -a - 3*f - 7 = 0, 5*a + 25 = v*f - 7*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*v**2 - 1195*v**2 + v + 605*v**2 - v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.56*1381\nAnswer: 4916.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3080154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 8. Let p(x) = -x**2 + 9*x - 4. Let h be p(8). Let g be n(h). Let m(k) = 3 + k**3 - 3 - g*k**2 + 3 - 2*k. What is m(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 - 4. Let v(h) = h**2 + 1. Let y = -101 - -102. Let w be 475\/(-171) + (y - (-22)\/(-18)). What is w*v(u) - m(u)?\nAnswer: 3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010010101010111010111 + 1100?\nAnswer: 1001010010101010111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q - 25. Let p = q + -33. Suppose 2*r + 0*r - 4 = p. Calculate the greatest common divisor of 18 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**2 + 3*p**3 - 5398 + 5398 - 2*p in the form u*p**2 + a*p + g + d*p**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, f: 5, k: 3}. Give prob of picking 1 s and 2 k.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 0 - -4) + 0 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -13*l**2 - 32*l + 34. Let n(g) = 3*g**2 + 8*g - 8. Let o(p) = 2*k(p) + 9*n(p). Determine o(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 1. Let d(g) = -11. Let w(r) = d(r) + x(r). Calculate w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -294 + 299. Suppose 4*b + 3 = -q, -2*p - 3*b + 7972 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28 + 1)*(13 + -12). Suppose -4*t = s - a, 2*s - t = -s + 22. Which is greater: s or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sskvyvyswksvkyasvyss. What is prob of picking 4 v?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*z - 351 = -766 - 565 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1527 (base 15) to base 13.\nAnswer: -20b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**2 + 106*i + 9*i**2 - 2543 - 811. Let t(w) = 2*w - 2. Let l(q) = s(q) + 5*t(q). Let l(r) = 0. Calculate r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/13)\/3 + -7*(-1204)\/(-5096). Sort -4, 3, k, -1\/7, 8\/9 in decreasing order.\nAnswer: 3, 8\/9, -1\/7, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*k - 26, -3*k - 3*l - 16 + 43 = 0. Suppose -60 = 3*h - k*h. Suppose 0 = 4*p - h - 66. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = 4*f - f, 0 = -2*f + 3*u + 13. Let q be (-297)\/(-66)*(87\/69 + 1\/(-1)). Is q not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2240 - -2235) + ((-2 - 1) + 0 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**7\/35 - 16*d**6\/75 + 9*d**5\/50 + 37*d**4\/15 - 32*d**3\/5 + 32*d**2\/5 - 41*d + 1. Determine p, given that a(p) = 0.\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -196\/9 (b) 0.1 (c) -0.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(9\/19) + (-14)\/42. Let l(o) = o**3 - 11*o**2 + 31*o - 8. Let u be l(a). Does 11 divide (4 + 56\/(-16))\/(u\/(-924))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76.999958 - 77. Round j to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1)**2 + (2 + sqrt(17)*-2)**2.\nAnswer: -14*sqrt(17) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*u**2 + 145*u**2 - 4*u**4 - 13*u**4 - u + 19*u**4 to j*u**4 + d + s*u**2 + q*u**3 + l*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:51 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 41*z - 2*o = -225, -35 = 3*z + o + o for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 157564722 and -3168.\nAnswer: 157561554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llccppll. Give prob of picking 1 c, 1 p, and 2 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*w + 22 = -3*m, 394*m - 5*w - 770 = -3*w + w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 601512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 10:25 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 134, 2, -5.\nAnswer: -5, -4, 2, 4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 2. Let o = -9 + 10. Let a be l(o). Solve i - a = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-29610)\/(-60))\/((-3)\/(-4)) and 47.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -560.6301 times 0.34\nAnswer: -190.614234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 108?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52580550.\nAnswer: 2, 3, 5, 11, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.24, -0.04 in ascending order.\nAnswer: -0.04, 0.2, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26829373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493059 minus -312.9398?\nAnswer: 493371.9398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j - 47. Let z be g(8). Suppose -z*b + 2824 = -9425. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34\/891 - -13268\/351945. Let w = -412759\/34760 + n. Find the common denominator of 0\/(-1) - (-147)\/18 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 15*l**2 + 7 - l**2 - l - 9*l + 7*l**2. Calculate the least common multiple of t(1) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -2\/13, -3\/2, 48 in decreasing order.\nAnswer: 48, 5\/3, -2\/13, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2294 - 9175\/4. Let t = 0.06 - 0.26. Which is the third smallest value? (a) t (b) 4 (c) q (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 15*u + 3*u - 156 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p. Let w(n) = 2*n**2 + 7*n. What is -v(m) + w(m)?\nAnswer: m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.801 + 1.199. Let o = -0.61 - -6.21. Let j = 6 - o. What is the smallest value in x, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**7\/210 + g**3\/2 + 2*g**2. Differentiate v(k) with respect to k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3250735679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h. Let i(g) = 831*g**2. Give b(i(a)).\nAnswer: 4986*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1 + (0 + 0 + 2)*(-2*a - 1 + 1) + 4*a - 2*a - a)*(a**2 - a**2 - 5*a**3).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 6*n = -25. Let c(k) = k - 2. Let d be c(6). What is the first derivative of n*s**d - 3*s**4 - 1 + 4 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 1053a53?\nAnswer: -1053a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13033 + -10?\nAnswer: -13103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/(4\/30). Suppose 0 = -d - 0 + f. Let q = d - 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.5 - -8.4. Let r = 37 - y. Let l = -0.36 + 0.06. Sort -2, l, r in ascending order.\nAnswer: -2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(-a**2 + a**2 + a**5) + 4*a**5 - 4*a**5 - 2*a**5 + (17*a - 2*a + 6*a)*(0*a**4 + 4*a**4 - 2*a**4) + 0*a**5 + a**5 - 2*a**5.\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/11 - 1895956*l**2\/11 + 45502080*l\/11 - 273010752\/11 = 0?\nAnswer: 12, 947954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*u = -160, -2*g + 3*u = -0*g + 72. Let a = g - -102. Calculate the common denominator of (63\/a - -1)*-2 and 67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 4496, -2\/3, 10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21101635*b**3*y + 225*b**3 - 2575*b**2 + 6*b wrt y.\nAnswer: -21101635*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 5*d - 14. Let w be z(-7). Let x be (9 - 2 - w) + -2. Suppose -t = t - 4*h + 18, -3*t - 25 = -x*h. Let l(k) = -k**2 - 6*k + 3. Give l(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -2) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.8 - -33. Let v = 13.3 - 10.3. Let u = v - t. Which is the closest to 0.1? (a) -3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -3*k, 25 = 5*v - 4*k - 14. Solve -3*i + 4 = -v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8421286 less than 8421284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118388088 and 468?\nAnswer: 118388088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*o + 3*o = 0, 0 = 3*t - o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3379 is divided by 169.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:25 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**2 + 62*n**3 - 148*n**3 + 75*n**3 as o*n + c*n**3 + u*n**2 + l and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 162023.\nAnswer: -161908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 437191, 873492, 1309795, 1746100, 2182407, 2618716, 3055027?\n\"Answer: c**2 + 436298*c + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**7\/630 - 7*b**6\/18 - 245*b**5\/6 - 19*b**4\/6 + 48*b**2. Let k(r) be the second derivative of c(r). Factor k(d).\nAnswer: -4*(d + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o**2 + 10*o + 2. Let j be k(-6). Let z = j + 857. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-11) + 133956\/99. Is 1352 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26352240 is divided by 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36646a1 (base 12) to base 2\nAnswer: 101000010111110011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**8\/504 + 2*x**7\/315 - 7*x**6\/180 - 2*x**5\/9 - x**4\/3 + 40*x**2 + 7. Solve f(v) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2959073.85 and -4.\nAnswer: -11836295.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1385.8 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 191259168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2825 is divided by 185.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:32 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29983 is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3858369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 719, 736, 763, 806, 871, 964, 1091?\n\"Answer: v**3 - v**2 + 13*v + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - 410\/(-35). Let g = 65 + s. Calculate the remainder when g is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 - 16*f**2 - 21*f**2 - 91*f**2 + 151*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 3*q - q)*(-4 + 0 - q + 8) in the form k*q + x + j*q**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 691604803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014366 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1. Suppose 3*k = -5*q - 0*k - 39, -q - 5*k = 21. Let x(g) = -2*g - 6. What is q*a(i) + x(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 4*x - 1 - 4*x + 5*x. What is the units digit of k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 146536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*h**2 - 260*h**2 + 1145*h**3 - 1147*h**3.\nAnswer: -2*h**3 + 61*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*q**4 - 115*q + 55*q**3 - 21*q**3 - 29*q**3 + 1 + 50*q**4 wrt q.\nAnswer: -36*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5380?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g + 3. Let j be f(-12). Let o = j + -96. Factor 18\/5*w**o + 14\/5*w**2 + 0 - 4\/5*w.\nAnswer: 2*w*(w + 1)*(9*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87 + n**2 + 3*n**2 - 40 - 31 + 20*n.\nAnswer: 4*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -408, -833, -1274, -1737, -2228, -2753?\n\"Answer: -o**3 - 2*o**2 - 412*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*v + 20*v - 2. Let l(o) be the third derivative of -7\/10*o**6 - 2\/3*o**4 - 11*o**v + 0 - 6\/35*o**7 + 0*o**3 + 0*o - 16\/15*o**5. Factor l(f).\nAnswer: -4*f*(f + 1)*(3*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7*(18\/(-7))\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 + 1\/1)*1. Let a be 10\/(-4)*p\/10. Suppose -5*z - 4*v = -15 - 10, 5*z = 4*v + 25. Put a, z, -4 in descending order.\nAnswer: z, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5241 - 0.0593970807.\nAnswer: 5240.9406029193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 8 - (1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-29)*r))\/(r\/(r**(-21)\/r)))\/(r\/(r**7*r)*r**19))**50 assuming r is positive.\nAnswer: r**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/60 + 257\/420. Which is the second biggest value? (a) -1 (b) 3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8639, 34573, 77799, 138317, 216127, 311229?\nAnswer: 423623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (15 + 6 + -16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 40*w. Let a(h) = 5*h**2 - 6. Let t(i) = i**2 - 1. Let q(u) = -a(u) + 6*t(u). Calculate q(v(g)).\nAnswer: 1600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/((2*sqrt(90))\/sqrt(10))*-5 - (((sqrt(275)\/sqrt(5))\/sqrt(5) - sqrt(11)) + 2*(sqrt(704) + sqrt(11))))**2*-3.\nAnswer: -55473\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-24)*2*(-8 - -36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.4, -29\/5, -51, -17\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 335*j**3\/3 - 2257*j - 2636. Differentiate l(k) wrt k.\nAnswer: 670*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25105 is divided by 6273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(24\/(-20) + 1). Solve -4*r = r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 454.\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {w: 1, b: 6, h: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3509 + 899. Let v(g) = 1110 - 3*g**2 - 11*g + 4*g**2 - d. Calculate v(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 85 - 110 = 0. What is the derivative of -k*w - 13 + 35*w + 0*w + 64 wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 20 = 0. What is the third derivative of 3*p**2 + 3*p**4 - 3*p**h + 0*p**4 - p**6 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {q: 7, g: 5, j: 2, m: 4}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.18388 - 0.08612. Let u = 1.7 - 8.7. Let l = u - -2. What is the second biggest value in c, l, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(9 - (-119)\/(-14)) + -30?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -35240352?\nAnswer: -35240347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5 + 4 + sqrt(432) - sqrt(432)) + -1 - -4*1*(sqrt(432) - 2*sqrt(432))))**2 + 0.\nAnswer: -12288*sqrt(3) + 111616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 divided by 2?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120428449 at least as big as 602142249\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 15*b**2 + 2*b - 20. Let o be z(15). Let h = 188 - o. Let p be h + 2\/((-8)\/12). Calculate the greatest common divisor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 24*s - 134. Let m be i(-16). Let z be (m\/(-5))\/(21*(-11)\/(-385)). Let o(x) = -x**2 + 6*x - 3. Calculate o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) + 18\/12. Let l(m) = -m**3 - 3*m + 0*m**3 + 3*m**3 + 3*m**2 + m**h. Let r(c) = 6*c**3 + 5*c**2 - 5*c. What is -5*l(f) + 3*r(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-63)\/(-12)*48760\/(-318). Is -3219\/4 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 352479209475670?\nAnswer: -352479209475672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*a + 60 - 204. Let p be a\/(-14) - (-1425)\/4375. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.5 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(30)\/(sqrt(5)*-1))\/(sqrt(64)\/sqrt(2)).\nAnswer: -sqrt(3)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 + 32 = -14*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200) + sqrt(50) + sqrt(50)*3 + sqrt(50))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -1, 2\/9, 5\/3, 14\/97?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1374572443028 + -0.3.\nAnswer: -1374572443028.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {q: 1, o: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7002918, -7002909, -7002900?\n\"Answer: 9*f - 7002927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**3 - 13*y**2 - 5*y. Suppose 36*t = 27*t - 27. Let m(p) = -4*p**3 + 7*p**2 + 3*p. Calculate t*h(j) - 5*m(j).\nAnswer: -j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*k, -2*k + 46 = 2*d - 7*k. Let w = d + -11. Let g be (1\/(-5))\/(6\/(-30)). Sort g, w, -7 in decreasing order.\nAnswer: w, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418965414 to the power of 1\/3, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1 = -4*u + 3*m, 2*u - 2*m = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 705, 2059, 4317, 7479, 11545, 16515?\nAnswer: 22389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1244*x + 147 - 93 - 54 as u*x + d and give u.\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10146971.143 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188041551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 34*v - 10 + 3)*(42 - 13 + 6) to g + s*v and give g.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzjzzzjjzzzz. Give prob of picking 3 z and 1 j.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 - -248 - (13 - 51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.4, 2, -5, -15 in increasing order.\nAnswer: -15, -6, -5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9968081 divided by 6\nAnswer: 9968081\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) -3 (b) 3 (c) -0.5 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.155433 and -4.6.\nAnswer: -0.7149918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6 and -6*6\/12 + 210\/88.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*u + 9750, -u + 19480 = 432*x - 430*x. What are the prime factors of x?\nAnswer: 2, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) -4515\/2 (d) -0.1 (e) 8 (f) 1\/3 (g) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*g - 82*g + 319*g - 85*g - 68*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17*k**2 + 3. Let r(v) = -4*v**2. What is i(r(t))?\nAnswer: -272*t**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w - 36 + 36)*(-49*w**3 + 58*w**3 + 94*w**3).\nAnswer: 2369*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40649 or -40648?\nAnswer: -40649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 162481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 22)*(-q**3 - 4*q**3 - 2*q**3).\nAnswer: -154*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -14*l - 384. Let z = -102 - l. Suppose -4*i + z = 2*q, 2*i + 87 = 4*q - 5. What is the remainder when 166 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Suppose -v = 2*i - 3*i - 2, 0 = -i + x. Find the third derivative of 0*l**2 + 2*l**v + l**2 - l**4 - 2*l**3 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.91 - 11. Which is the nearest to -0.13? (a) 2 (b) o (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 22*h**2 + 50*h - 28. Let f be a(24). Solve 5*p + 0*p = -5*y + f, -4*p - 9 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.04 - -0.04. Let a = -76351 - -76351.4. What is the closest to 4.1 in a, q, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 700*s - 71. Is b(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12025*z + 4*z**3 + 24017*z - 11992*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150532402 (base 6) to base 3.\nAnswer: -12212122110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(700) + sqrt(700))*-2*5 - (-1 + sqrt(252) + -5 - (-5 + 1 + sqrt(7)*1)))**2.\nAnswer: 17380*sqrt(7) + 1092659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 + -824. Let t be (-2)\/(-6) - w\/12. Suppose -5*x + t = -2. What is the remainder when 35 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v + 21. Let i(b) = 4*b + 4. Let q(m) = -2*g(m) + 11*i(m). Calculate q(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let j be (-2 + 1)\/(1\/(-3)). Let u(i) = -2 + j + 5*i + i. Calculate -11*n(z) - 2*u(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by 44\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 + 2*w**4\/3 - 7*w**3\/6 - 2*w**2 + 2*w. Let l be k(7). Let x = 0.46 + 0.04. Sort -5, l, x in increasing order.\nAnswer: -5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/31))**26 assuming j is positive.\nAnswer: j**(-52\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-36)*252\/(-441)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27398 + -0.22602. What is the third biggest value in 199, 2, -5, k, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1895250 and 1590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (2 - 5))*-2. Let a(z) be the first derivative of -z**3\/3 + z**2 - 2*z + 92. Let k(t) = -2*t**2 + 6*t - 5. Calculate q*a(x) + 3*k(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 449138 = 217925 + 288713. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 11*u**2 - 350*u.\nAnswer: u*(u - 14)*(u + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i - 3*u = 5, 5*u = 5*i - 25. Suppose -2*w - i - 1\/2*w**2 = 0. What is w?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8855 divided by 805?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide ((-16902)\/(-42) - 19)*49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 574703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -50. Calculate the greatest common factor of b and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0544 and 4?\nAnswer: 4.0544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, 77, 189, 301?\n\"Answer: 112*b - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x + 21. Let p(v) = -7*v + 11. Let w(s) = -9*p(s) + 4*y(s). What are the prime factors of w(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12*h**2 - 2. Give y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-2) - (-1)\/2. Suppose -4*j - 5 = -5*l, 0 = j + q*j - 5*l. Let p = 1 + 2. What is the nearest to p in 1\/3, j, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 228*v**2 + 50847*v + 669.\nAnswer: 3*(v + 223)*(76*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 4.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - 30*w - 4. Let f be p(7). What is the highest common divisor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 13*x**2 + 4*x + 52. Let g be a(-6). Let l(n) = n - 5. What is l(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*t + 47*t**6 - 62126*t**4 + 17*t**6 + 62123*t**4 + 20*t**2 + 66*t**6 wrt t.\nAnswer: 15600*t**3 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*o**2 + 0 + 27 + 50 + 129 + o - 2*o wrt o.\nAnswer: -44*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.672 to the nearest integer.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -854*q - 236 - 68 + 85 - 78 wrt q?\nAnswer: -854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 1 (c) 4 (d) 45 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03267253 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2 + 4251*y - 283863. Give b(60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = 21*m + 29*m + 711 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 + n + 3. Determine o(3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-1 - 1 - -109). Let c = -67 + g. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -43.29. Let s = p - 1.29. Let h = 0 + s. What is the nearest to 1\/5 in -0.4, -0.5, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:46 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 2*x**2 - 408*x + 2784. Determine r(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 260 - 287. Solve d*s - 5*v = -4 + 2, 4*s = 5*v - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/16524 and 5\/1479?\nAnswer: 479196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18643218091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 + 5 = 0. Let o(k) = 17*k. Let b(l) = -4*l. Let t(p) = 26*b(p) + 6*o(p). What is the units digit of t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 16*b + 40*n - 187, -4*b = -3*n - 63 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 216447 divided by -5\nAnswer: -216447\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -83. Suppose 9 = 3*y, 0 = -q*d + y + y - 6. Solve -5*c - 3*k + 15 = d, -5*c + 15 = -k - 3*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 11*x**2 + 7*x - 39. Let g be d(-12). Let w = g + -10. Solve -o + 4*s = -0*s + w, -4*o - 2*s = -28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c + 3, -3*a + c + 9742 = 0. Let t = 9147 + a. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**3 - 17*h**2 - 7*h + 9. Let p be o(-7). Suppose -2*m + 2*i + 1532 = -3*i, 0 = -3*m + 4*i + p. List the prime factors of m.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + 15699415226?\nAnswer: 15699415227.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183883.\nAnswer: 7, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(432) - (sqrt(432) - (0 + sqrt(432))))*5)**2).\nAnswer: -32412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -2*h - 2*u - 20, 3*h + 35 = -4*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -599825 (base 10) in base 2?\nAnswer: -10010010011100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 70 = -8*f. Suppose -248 = -5*s + f. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(14\/3))**(-43\/4)*(k**(1\/6)*k*k*k)**11)**(-48) assuming k is positive.\nAnswer: k**(-3564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 41*c**6\/6 + 37*c**3\/3 + c - 113. What is the third derivative of u(h) wrt h?\nAnswer: 2460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 124*g**2 + 473*g + 31. Determine x(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 10*o**2 + 15*o - 7. Let j be g(-8). Solve 4*w = -5*n + j, -3*n - 4*w + 5 = -6*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 270509497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 73, 5, 7, -3\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((z - z + 2*z)*(-2*z - 9*z + 3*z) + (0*z + 0*z + 2*z)*(z - 5*z + 3*z))*(z - 204 + 204) to b*z + s + d*z**2 + x*z**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, l: 9}. Give prob of sequence jjl.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3448089?\nAnswer: 3, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*17.8.\nAnswer: -302.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 8. Suppose m = 19*w - 18*w. Solve p + 0 = -w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -311405?\nAnswer: 311415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from eeiie?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.055 - 2.945. Let j be ((-18)\/84)\/(22\/77). Which is the second biggest value? (a) j (b) f (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*m*t**2*w**2 - 3*m*w**3 - 9*t**2*w**3 - 6*t**2*w**2 + 11*w**2 wrt m.\nAnswer: 188*t**2*w**2 - 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 4435.59017?\nAnswer: -4435.19017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpjb when four letters picked without replacement from {z: 1, j: 2, b: 1, e: 2, p: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3\/6 - 5*g**2\/2 - 5*g. Let m be s(-3). Let i = 9 - m. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -713592, -713594, -713598, -713604, -713612, -713622?\n\"Answer: -v**2 + v - 713592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1809 divided by -4.\nAnswer: 1809\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1106, 2632, 4580, 6950, 9742?\nAnswer: 12956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4 (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 7 + 0)*(13 + 21*t + 21*t - 41*t) as z*t + l and give l.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 123, 5, -1\/3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2 (c) 7.4 (d) -0.3 (e) -2\/21515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7241*m + 18622*m + 3283*m + 4078*m + 27171*m.\nAnswer: 45913*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + (-19590)\/(-2800))*(26\/(-8) + 1). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:32 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:43 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllvlv. What is prob of sequence vvll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*8\/(-20) - (-20)\/25. Solve n*q = -5*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17325179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 138.3, 0.1, 325, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4*s + 20, 7*s - 2*s = 4*d + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = 3*r, 209*x = 210*x - 5*r + 22. Suppose -2*u - 5*k = -2*k - 53, 4*u + 5*k - 107 = 0. Calculate the smallest common multiple of x and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278594 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0 + 0*z + z**3 - 11*z**2 - 7 + 2*z + 1. Let s be o(11). What is the highest common factor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31\/5 - 269\/45. Let n = -11 + 3. Let j = 6 + n. Which is the closest to 2\/7? (a) -1 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -10. Let l(a) = -a**2 + 22*a + 144. Let i be l(27). Solve o*x + i = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7050*t - 636 = 7103*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/25)\/4*10\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4557349 or 4557642?\nAnswer: 4557642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 222451?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168089, 168098, 168113, 168134, 168161, 168194?\nAnswer: 168233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254883\/2188 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3306, 6614, 9922, 13230, 16538?\nAnswer: 19846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 18209*x**2 + 1011*x**3 + 89*x**3 + 56863*x**2 - 259*x**4 - 76176*x + 263*x**4 = 0.\nAnswer: -138, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*w + 13, 2*s = w - 2*s + 16. Find the third derivative of 33*f**4 + 3*f**2 - 19*f**w + 6*f**2 wrt f.\nAnswer: 336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i + 45. Let z be p(-6). Suppose 846 = z*j + 39. What are the prime factors of j?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*91209\nAnswer: -364836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(1 - 0))\/1. Suppose -3*i + 6 + y = 0. Suppose 5 = -h, h - 17 = -4*w + i*h. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 115?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 90*t**2 + 342*t + 12. Let n be x(-4). Calculate the greatest common divisor of 4326 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*250\/(-48) + (-30)\/(-10) and -70\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 909 - 908.99037. What is m rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57.12318 decades?\nAnswer: 5.712318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t**2. Let i(z) = 126*z**2. Suppose -4*k - 4*n = 156, 2*n - 3 = 3*n. Let c(q) = k*y(q) - 5*i(q). Let x(j) = 2*j**2. Determine x(c(s)).\nAnswer: 648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*k + 2*k + 3*k - k + 0*k + 0*k + (-1 + 0 + 3)*(-3 + k + 3) + k + 0*k - 3*k + 941*k - 289*k - 500*k as f*k + c and give f.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -624053*4.09\nAnswer: -2552376.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 26347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6874775?\nAnswer: 5, 73, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.66 - -39.66. What is the third biggest value in -1\/2, -4, 8\/3, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*a**2*c**2*m + a**2*c*m - a**2*m + 10*a*c*m - 2*a*c - c**2 wrt a.\nAnswer: -52*c**2*m + 2*c*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + p. Let g(d) = d**3 - 11*d**2 + 67*d - 49. Let t(s) = -4*a(s) + g(s). Factor t(r).\nAnswer: (r - 7)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*b - l, 6*b + 1 = -12*l + 11*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 0*r)*((-5*r**2 + 2*r**2 + 4*r**2)*(r + 0 + 0) - 37*r**3 + 0*r**3 - 27*r**3).\nAnswer: -126*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + z**2 + 6*z + 10. Let p be y(-5). Suppose 20 = 4*d, 90 = 5*k - 4*d - p. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 4*t**5 - 2*t**5 + (5*t**3 + 5 - 5)*(t - t + t**2).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1770*m = 45*m + 10351 - 182851 for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -27 + 0 - (8\/(-2) + 3). Let r(l) = l + 27. Let n be r(t). Which is greater: n or -7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yytay. What is prob of sequence aaty?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6123 is divided by 2983.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -204, -1564, -5196, -12234, -23812, -41064, -65124?\n\"Answer: -189*d**3 - 2*d**2 - 31*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d - 38. Let q be k(-6). Suppose 3*w - q*w + 7 = 0. Is w != -1\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4129 + -3942. What is the lowest common multiple of 816 and b?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 + j - 1. Let u be o(1). Suppose u*i - 127 = 3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 14536712*w + 14536710.\nAnswer: 2*(w + 1)*(w + 7268355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 0. Let c = 5.99 + s. Round c to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**2 - 39*l - 39. Let g(x) = x**2 + 3*x + 3. Let u(w) = f(w) + 13*g(w). Let q(a) = -a - 2387. Calculate q(u(b)).\nAnswer: b**2 - 2387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + -126 - (-26 - -2)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3 - (5 + 0) - -2) + 3541 + -3637.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43*(-12)\/(-1806)*1\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 838305352 to the power of 1\/2, to the nearest integer?\nAnswer: 28954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17)\/34)\/((-1)\/(-5294)). Is (i*3\/15)\/((-4)\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*a - 403*a - 153*a = -85*a + 16490 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -186, -291, -396, -501?\n\"Answer: -105*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255230 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(((-8)\/6)\/2). Let v be 0 + 0 + (-21)\/b. Solve -2 = 5*m - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49.27948 + -363.76312. Let z = 413 + h. Let v = 0.04 + z. What is v rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.38 + 3.62. Which is the closest to 0.12? (a) -2 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000011111 - -102?\nAnswer: 110000011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - -21. Let h = g - -24. Let n(a) = a**2 + 4*a + 8. What is the remainder when h is divided by n(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247237 and 170461.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r + 58*r - 15*r - 27 - r**2 - r**2 as l*r + t*r**2 + y and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 19 + 34 - (-22 - -6)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 22*g**2 + 166*g + 10. Determine t(-9).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9274 is divided by 1247?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/132, -12, -0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 904 by -3883.\nAnswer: -904\/3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 2*p - 26 = 15*v, 21 = -4*v - p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17 + 8*i**2 + 18*i**2 + 17*i - 6*i**2. Let z(r) = -7*r**2 - 6*r - 6. Suppose 2*n + 14 - 2 = 0. Determine n*b(q) - 17*z(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 4*a - 156, -2*r + 2*a + 162 = 0. Let c be -3 + ((-66)\/15 - -5)*355. Calculate the greatest common divisor of c and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 16, 7, -8?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2686 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -31941 and -0.0891 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkkmmmkkmkmmkmmmd. Give prob of sequence qdk.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:55 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 2*o - 1 - 14*o**2 + 11*o**2 + 6*o**4 + o**3 to y*o**2 + p*o**3 + r + n*o + w*o**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -36*w. Let k(u) = -351*u**2. Determine k(t(g)).\nAnswer: -454896*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = a - 6, -1 = 4*r - 5*a - 19. Let u be (0\/r - -3) + -1. Suppose -4*q + u = -14. Solve 0*l + 4*l - 8 = q*z, 3*l = z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/((sqrt(42)\/sqrt(3))\/sqrt(7)) + sqrt(56)\/(-3*sqrt(72) + sqrt(72)))**2.\nAnswer: 175\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2809722*c + 936595*c + 936635*c + 936666*c.\nAnswer: 174*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(16\/4))\/3. Which is the closest to 0.1? (a) 7 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3365799 is divided by 22290.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(20\/5) + 11\/(-1). Let x be k + (-133)\/(-49) + 4\/14. Is 99\/132 - 5593\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*d - 8, -j + 3*j = -2*d + 16. What is the third derivative of 3*z**5 + 2*z**2 + 3*z**5 - d*z**5 + 0*z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 49d?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102035\/18 - -5671. What is the common denominator of 7\/2 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 26935, 4, -3 in decreasing order.\nAnswer: 26935, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 180719136 a multiple of 1352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u. Let r(m) = -m**2 - 15*m + 1. Let x be (8 - 5) + (-1 + 0)\/1. Calculate x*r(y) + 5*d(y).\nAnswer: -2*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -27. Suppose -o + 300 = g*o. Calculate the highest common divisor of 40 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 60*z**2 - 815*z + 1415. Let b(p) = -5*p**2 + 68*p - 118. Let i(c) = -25*b(c) - 2*u(c). Factor i(j).\nAnswer: 5*(j - 12)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + b0ac5?\nAnswer: b0ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-12))\/((-1)\/3). Let p(q) = -q**2 - 3*q + 11. Let v be p(n). Let a = 24 - v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5)*j*j*j**3)\/(j**(-2\/9)*j\/(j\/j**(-6))) assuming j is positive.\nAnswer: j**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + (-3713)\/(-423). Solve -l*s = -4 - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733455?\nAnswer: 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02203 - -941.62203. Let g = w + -1034. Round g to zero dps.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0)\/s*((s*s\/(s*s*s**(-1\/3)))\/s)\/s*s*s*((s*s**(2\/5)*s)\/s)**(-4\/9)*((s**(1\/7)*s)\/(s*s*(s*s\/s**(2\/43))\/s))**(-1\/24) assuming s is positive.\nAnswer: s**(-23129\/108360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1869309, 3738641, 5607985, 7477347, 9346733, 11216149?\nAnswer: 13085601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 7:13 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -27*q**5\/40 + 63*q**4\/4 - 419*q**3\/4 + 189*q**2\/2 - 243*q\/8 + 1898. Determine f so that w(f) = 0.\nAnswer: 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 + 12*y - 135 = 0. What is y?\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26085336 divided by -47688\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxccccxcccxccccxxc. What is prob of picking 2 c?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Suppose 0*y = 2*y. Suppose -5*d + 4*t = -14, 5*d + 2 = t + 13. Solve y*o = d*o + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/4)*p))**29\/((p*p**(-2\/7))\/p)**(-5\/13) assuming p is positive.\nAnswer: p**(2599\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6090, -6089, -6088?\nAnswer: -6087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.8 - -14.3. Put -2, -0.1, -0.4, v in ascending order.\nAnswer: -2, -0.4, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 135 = -43. Let t be -2*(2\/(-10) - (-1212)\/60). Let i = t + j. Solve -a = -i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let q(j) = -96*j + 3. Determine q(w(m)).\nAnswer: 192*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*j + 50 = 0, 2*q + 0*q - 5*j - 35 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 4705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 105 = -198*k, -k + 14089 = l + 14124 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 235*t**3 - 2*t**2 + 7*t - 7. Let b(m) = 117*m**3 - m**2 + 4*m - 4. Suppose 4*i = 3*i - 5. Let w(d) = i*b(d) + 3*v(d). Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2 = 9*f. Let v be 2 + -1 - (f + -1 + 4). Solve 2*t - 5*t + 12 = v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {q: 5, n: 2, t: 9, u: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 - -6 - (5 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w = -104*w - 48*w - 1820 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*q = -43 - 12, s = -q + 11. Let p = s + -6. What is the least common multiple of p and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -0.3.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 3*f + 3. Let a be x(1). Suppose c - 50 = -4*c. Solve -2*p = -d - a*p - c, -2*d + 2*p + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 5*q - 348. Suppose -624*m = -636*m + 2736. What is the greatest common factor of m and q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j - 94*j - 9466 = -2011 + 839 for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02971929959 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5 + 24*r**4 + 5433*r**3 - 97410*r**2 - 211008*r - 108192 = 0 for r.\nAnswer: -46, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 105 = 5*l + 3*v, -l + 6 = 4*v. Suppose -4*n - 5*j + 3*j = -l, 4*n = -j + 27. Let o(s) = -s**3 + 8*s**2 - 7*s - 9. Give o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 4. Suppose -3*o + 228 = m*o. What is the remainder when 73 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.97108 + -90. Round m to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -30. Suppose -5*f = -3*w + 10, -5*f - s = 5*w - 1. Is w at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 185*m**2 + 12*m - 7. What is y(2)?\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/6 + 855*o. Let z(q) = -2*q - 3001. Determine z(v(k)).\nAnswer: -2*k - 3001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -69. Suppose -2*q + 65 = 3*q. Calculate the greatest common factor of f and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*(7\/(147\/(-6)))\/((-63)\/18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 67 - 67.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 842, -1130, -3100, -5068, -7034?\n\"Answer: p**2 - 1975*p + 2816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -475*n*w**2 + 12908*n - 14*w**3 + 2 wrt w.\nAnswer: -950*n*w - 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6262419445 to the power of 1\/2, to the nearest integer?\nAnswer: 79135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/(sqrt(8)*-2).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3816563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20532464681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17146 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483 - 39.3?\nAnswer: 2443.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/3 - 2*j**2 + 186*j. Calculate x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200312.\nAnswer: 2, 3, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1\/6 (c) 5\/4 (d) -105\/158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-31)*t\/(t*t**(-19)\/t))**(2\/171) assuming t is positive.\nAnswer: t**(104\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1058 - 1054. Let c = 10 - 15. Let b = -0.4 - -1.4. What is the closest to b in c, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7945, -7944, -7943, -7942, -7941, -7940?\nAnswer: -7939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -7*u**5\/60 + u**4\/12 - u**3\/6 + 3*u**2 - 2*u. Let z(f) be the first derivative of t(f). Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*o - 14, 2645 = -2*o - r + 2659 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 40*l - 36*l = 10, 2*a = 4*l - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31854 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 1, s: 1, k: 1, q: 2}. Give prob of picking 2 q and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3012 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1647b (base 15) to base 2\nAnswer: -10001100011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*t**2 + 50*t**2 + 103*t**2 + 4 - 4*t**3 - t**4 to c*t**4 + s*t**2 + l + h*t**3 + w*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 220 + -261 - ((-14 - -1) + -2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0945675 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2*2\/(-6))*(-36)\/(-594).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/56 and 11\/254373.\nAnswer: 2034984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/8700)\/(2\/(-16)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 - 14 = 0. Let r(w) = -w**3 - 6*w**2 - 3*w + 6. Let u be r(c). Suppose 5*x - 7*x + u = 0. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.02 (b) -12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 450. Suppose 5*g - k = -0*g. What is the smallest common multiple of (-1)\/((-7)\/(-2))*(4 - 11) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:06 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6244619 is divided by 10748?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-356 + 12*p + 356)*(6 - 3 + 0)*(-2*p - 3*p + 2*p + (1 + 4 - 6)*(-p + 1 - 1)) as b + l*p**2 + h*p and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 4. Let a = t + 23. What is the units digit of (a + 1)\/((-4)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1072063 + -3?\nAnswer: 1072060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 divided by 69?\nAnswer: 364\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45510431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0*s - 847010 + 847013 - s. Let j(u) = u**3 - 4*u**2 + u - 2. Let o be j(3). Give t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 53 - 7 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*z + 10*y - 0*y + 14, 2*z - 43*y = -40*y + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 times 0.5?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*z - 3*o, 0 = -z + 3*o. Suppose -2*p + 4*s + 549 + 217 = z, -s + 3 = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43651, -174581, -392803, -698317, -1091123?\nAnswer: -1571221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920386955?\nAnswer: 5, 67, 83, 105031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324748 and 116261?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - 10. Find the second derivative of 0*s**2 + 6 - q + 5*s + s**2 wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 100.23. Let s = k + -0.23. Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*(1 - -1). Suppose -20 = -p*v - 2*v. Suppose -2*k - 40 = -6*k. What is the highest common divisor of k and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**6 - 103*z**2.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5.12, -1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuc when three letters picked without replacement from ccucccucccc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378152231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**(-2)\/c*c**(-3\/5)*c**(-1))\/(c\/(c\/c**2)*c**(-1\/2)*(c**(-1\/2)*c)**(-15)) assuming c is positive.\nAnswer: c**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let c(b) = -2*b + 2. Let d be c(1). Suppose m + n*m = d. Is -2 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*z - 4*z. Let g(s) = -s**2 - 4*s + 4. Let c be g(0). Let m = -774 - -776. Put 5, z, c, m in decreasing order.\nAnswer: 5, c, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 - 257364*j\/5 - 51472.\nAnswer: -4*(j + 1)*(j + 64340)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 - 2*g + 3 - 5*g**2 - 4*g**2 + g. Calculate r(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v\/v**(1\/4)))\/((v\/(v*v*v*v**(-1)*v*v))\/v**(-1\/5)) assuming v is positive.\nAnswer: v**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -445.1182 rounded to zero decimal places?\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2202, 3889, 5058, 5715, 5866, 5517?\n\"Answer: g**3 - 265*g**2 + 2475*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 96 = -23*m + 9*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**10\/l)\/(l\/(l**(-7\/6)*l))*(l*l*l**(1\/7)*l)\/((l*l*l**(-3\/7)*l)\/l) assuming l is positive.\nAnswer: l**(437\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**3 + 27*w**2 - 126*w - 1051. Determine c(-7).\nAnswer: -1933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 38*q - 241. Let t be h(-8). Which is the third smallest value? (a) -22\/5 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let n(h) = -3*h. Let v be ((-10)\/8)\/((-18)\/72). Let q(m) = -6 - v*m + 6. Let j(b) = -7*n(b) + 4*q(b). Give j(w(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4297960.09 to the nearest 1000.\nAnswer: -4298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4969*x + 2578*x + 2659*x - 2261 = 21591 for x.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 + 4)) + (4 - (-28 - 5)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 5*g**2 + 3*g. Let f be q(-3). Let m be (1053\/(-585))\/(6\/(-20)) + 354. What is the highest common factor of m and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35450097 a multiple of 1186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020711 (base 10) in base 2?\nAnswer: -111101101010101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1792, 3357, 4938, 6547, 8196?\n\"Answer: 2*w**3 - 4*w**2 + 1563*w + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309500 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99))**2 + 4 - 3*(4 + -1 + sqrt(11)))*3.\nAnswer: -9*sqrt(11) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.95 - 0.05. Let j = n + 3.1. Let h = 0.174 + -0.074. Which is the closest to j? (a) 1 (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 14. Let n be t(10). Put -25, n, 2 in increasing order.\nAnswer: -25, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 - 6*n**4 + 38*n**3 - 24*n**2 - 37*n + 30 = 0.\nAnswer: -10, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197281157*l*t - 45120646*t with respect to l.\nAnswer: -197281157*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 2, a: 3, d: 1, g: 4, n: 3}. What is prob of picking 1 g, 1 p, and 2 k?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1748\/2185)\/((-342)\/15 + -4).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 92 + 89 = 2*j, 0 = 2*j + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131096 divided by 2?\nAnswer: -65548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 + 3*m**2 + 4*m + 2. Let d(b) = 3*b**3 - b. Let k be (-153)\/(-63) + -4 + 6\/(-14). Let a(n) = k*d(n) - z(n). Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 4*x - 5. Let u be v(-5). Let q(m) = -m**2 + 6*m - 5. Let r be q(3). Suppose -3*s + 2*o = 0, -r*o - 4 = -5*s - 6. Solve u = s*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*o**2 - 7356*o - 7346*o + 14702*o.\nAnswer: -442*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - 0.1. Let i = -0.12 + 0.17. Let p = h - i. Put -1\/4, 0.5, p in decreasing order.\nAnswer: 0.5, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -0.83\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64365 + -7595003\/118. Suppose 70 = -3*y + 4*y. Calculate the common denominator of 814\/28 - 40\/y and d.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 3*t**5\/95 - 5*t**4\/114 - 8*t**3\/19 + 20*t**2\/19 - 16*t + 1. Factor p(d).\nAnswer: 2*(d - 2)*(d + 2)*(6*d - 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 83 - 5571 = -4*z, -z = 3*y - 1365. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 3, -3*m - 58915 = -p - 58946 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 717.8 + -649. Let l = a - -4.9. What is l rounded to 0 decimal places?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57832028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l)**42*(l*l*l**(2\/51)*l)\/l**(1\/20) assuming l is positive.\nAnswer: l**(217249\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/8 - 2*s**2 + 9*s + 3548. Let o(v) be the second derivative of 5*v**4\/6 - v. What is d(o(t))?\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*q + 167. Suppose -48*m - 3 = -q*m. Let x = -11 - -15. Solve m*i = 7*i + x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 224101?\nAnswer: 223334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from {x: 3, c: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 + 14 = 0. Let k be (4\/10)\/(2\/z). Suppose -35*x + 6*x - 27 = -201. Solve k*v + v + x = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88707 divided by 29569\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2)\/(5 + 3128\/(-624))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - 12\/(-8). Put w, -4\/9, -1\/2 in descending order.\nAnswer: w, -4\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 5. Suppose 2 + 1 = d. Let z be n(d). Let w be ((-4)\/z)\/(1 + (-11)\/12). Solve -3*g = -2*l + w + 13, -2*l + 9 = -g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = 0, -9*h + 13*h + 2*o - 18808 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 15. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let b(n) = -7*n + 4. Let v(h) = b(h) - 2*p(h). Determine v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 171139324.\nAnswer: -1\/42784831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**31)\/q)*q)\/q)**(1\/55)*(q\/(q\/(q\/(q*q\/q**(-1)))))**(-3\/10) assuming q is positive.\nAnswer: q**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let z(d) = 7*d**2 - 9*d - 5. Let y(g) = 10*g**2 - 14*g - 8. Let k(l) = -5*y(l) + 8*z(l). What is -k(b) + 4*s(b)?\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569312930?\nAnswer: 2, 3, 5, 3001, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four thirds of a century?\nAnswer: 29600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-9))\/((-10)\/210*-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p + 3*p + 66*p + 0*p to q + c*p and give c.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/6 + 293*m**4\/6 - 10562*m**3\/3 - 7238*m**2 = 0.\nAnswer: -2, 0, 141, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000056991042 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/(2\/(1\/(-1)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590618?\nAnswer: 2, 7, 42187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u - 69*u = 16. Let i be (u - 2) + 2*(3 + -2). Which is the third biggest value? (a) -27 (b) 0.4 (c) 1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -3\/13 (c) 4\/3 (d) -2 (e) -77 (f) -1 (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 45 = 91. Let m be (-1 - 55) + 2\/8. Let p = k + m. Calculate the common denominator of -97\/2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18776998 is divided by 1500.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 8*p**2 + 4*p - 9. Let m be w(-7). Let o = m - 10. Let q(d) = 4*d**2 - d**2 + 0 + o*d - d**2 + 1. Give q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58062200 to the nearest integer?\nAnswer: 7620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 2*y + 1. Let j be 3*2 - (-30 - -32). Give s(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 r when four letters picked without replacement from {r: 4, i: 1, t: 5, a: 5}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/(5\/(-10)). Which is greater: l or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205214 (base 7) to base 14\nAnswer: ccb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 9\/5*v**4 - 1\/5 + 2*v - 8\/5*v**2.\nAnswer: (v - 1)**2*(v + 1)*(9*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-1859)\/90090)\/((-10)\/(-45))?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Suppose o = 1 + 4. Sort 1, r, o in decreasing order.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22841?\nAnswer: 7, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 8 - (-322)\/(-161). Let g = 68 + -45. Solve 4 = 3*h + 5*y, -3*h + 7 = -b*y + g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - 10143020?\nAnswer: -10142504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4 less than 0.18?\nAnswer: 7.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 16) in base 4?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (9 + (-5 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:04 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**4 - 1441*q**2 - 4104*q + 1 wrt q.\nAnswer: 60*q**2 - 2882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 + 2*t**2 - 7*t. Does 22 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27065*b - 27059*b + 54125*b. Let r(x) = 7*x - 1. What is -5*m(i) + r(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 2*p**3 - 2*p**3)*(-3*p + 55*p**2 + 4*p - 3*p).\nAnswer: -55*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/5 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:15 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -49f?\nAnswer: 49f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 - 88054\/(-12). Let v = b - 7321. Let u = -12994873\/40 + 324871. Calculate the common denominator of v and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*j - 55, 143 = 13*y - 8*y + 8*j. Let w = 101 - 19. Let l = 181 - w. What is the highest common factor of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 314631?\nAnswer: 5348727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1257)\/(-42) - (-12)\/(-28). Let t = n + -28. Which is the closest to 1\/3? (a) 1\/5 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b + 3*b - 2*b)*(2*b + 4 - 4) + 3*b**2 + 0*b**2 - 2*b**2 - 2*b**2 + 2*b**2 + 2*b**2 + 3*b**2 + 16*b**2 - 2*b**2)*(2*b + 3*b - 3*b).\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 1.1. Let j be 1\/(24\/21 + -1). Let s be 12*(-1)\/7 - -2. What is the second smallest value in s, w, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497484*-0.332.\nAnswer: 165164.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173268783*m**6 + 121*m**2 - 15*m - 5319 wrt m.\nAnswer: 20792253960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 16*x - 89 + 0*x**2 + 179 - 90.\nAnswer: -x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1371586 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 18323?\nAnswer: -18319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 20 = -52*j. Solve -9*i = -5*i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)\/f**6)**(-2\/61))**(-10\/7) assuming f is positive.\nAnswer: f**(-130\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635016589 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*c + 2*z - 46, 0 = 2*c + 5*z - 13 + 4 - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1681, -3367, -5055, -6745?\nAnswer: -8437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 13, -486, -985, -1484?\nAnswer: -1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4) + (-6 - -2)\/16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -1.4. Which is the nearest to -1\/4? (a) -1\/3 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/9))\/(r*r**4*r))**(-7)\/((r*r*r\/(r\/r**(-1)))\/r*r**(2\/7)*r*(r**2*r*r)\/r**(-5)) assuming r is positive.\nAnswer: r**(1459\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvxxbvmwxbxxxwb. What is prob of sequence xb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogdggogggoggl. Give prob of picking 2 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 139916478911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242872*p**2 + 350*p + 11.\nAnswer: -485744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 16. Which is the third biggest value? (a) -4\/9 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(sqrt(1900) + 1 - sqrt(171)\/sqrt(36))*2*6)**2.\nAnswer: 10944*sqrt(19) + 988272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -8*n**4\/11 - 8*n**3\/11 + 5006*n**2\/11 - 4996*n\/11 + 1248\/11 = 0.\nAnswer: -26, 1\/2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -15\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/12 + i**3\/6 + 2819*i**2\/2 + 2*i. Is y(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1243942065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**6\/360 + 37*a**3\/3 + a**2\/2 + 208. Let b(l) be the third derivative of k(l). Let d(u) = -270*u. Calculate b(d(j)).\nAnswer: 72900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2657*l**2\/2 + 34*l - 93. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-3)\/2*((-2442)\/3069)\/(-37)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 28. Let n be 10\/4 - (-1)\/(-2). Let z be (-108)\/(-20) + n\/(-5). Solve 0 = f - 5*p + x, -3*f + 3 = f + z*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8. What are the prime factors of 1\/((-4)\/116*h)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291737.7 + -291738. Let i(f) = f**3 + 4*f**2 + 2*f + 2. Let t be i(-3). Which is the third smallest value? (a) 0.3 (b) s (c) -3\/14 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4086757 rounded to three decimal places?\nAnswer: -0.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38041 and 3761173?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 67048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/6040 - -2033\/1661000. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvammatvvgvtwvvv. Give prob of sequence gatm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 3, e: 2, p: 4, l: 1}. What is prob of picking 1 z and 2 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/378479 and -45\/5704.\nAnswer: 69640136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o*o**(-1))**(-16)\/(((o**2*o*o)\/(o*o**6))\/(((o*o**5)\/o)\/o**4)) assuming o is positive.\nAnswer: o**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l**18)\/l)*l\/(l**4\/l*l) assuming l is positive.\nAnswer: l**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 324\/153 - 2\/17. Let v be 3*(-20)\/(-24)*s. Solve z + 7*t - 5*t - 3 = 0, v*t - 9 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbsysybkybs. What is prob of sequence sky?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1848, 5, 1\/3 in decreasing order.\nAnswer: 5, 2, 1\/3, -1, -1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001424 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let w(k) = -8789419*k**2. What is h(w(u))?\nAnswer: -17578838*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 1. Let i be o(13). Let q = -12 - i. Find m such that 2\/3*m**2 - 1\/3*m**5 + 0*m**3 + 1\/3*m - 2\/3*m**4 + q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377742 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b + 5*b = 168880. List the prime factors of b.\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175815881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -1.9789?\nAnswer: -1.9789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 24 = -2*g, 11*w = 4*g + 939 - 1006 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let a(y) = -6*y - 371. Let w(k) = -4*k - 2. Let j(t) = -a(t) + 2*w(t). Calculate j(f(q)).\nAnswer: -4*q + 367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16452 and 29483812.\nAnswer: 265354308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (290 - 632 + 237)*(w - 3*w**2 + 6*w**2 - 2*w**2).\nAnswer: -105*w**2 - 105*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232760*s**6 + 119101*s**2?\nAnswer: 27931200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7808*l + 390*l + 103757 + 146629 = 1216*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 7632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 62*u**3 - 64*u**2.\nAnswer: 2*u**2*(u - 32)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*q + 60 = 0, -2*q - 1178 + 1200 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5487539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 22. Suppose 0 = -48*n - 390 + 1254. What is the lowest common multiple of f and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.97. Let m be -10*3\/12 - (-2)\/(-4). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -289*u - 28. Let r(c) = -96*c - 10. What is 6*i(z) - 17*r(z)?\nAnswer: -102*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.819*-0.09.\nAnswer: 0.07371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 11 + 16 + -9?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 12 = -4*r, -110*r + 111*r - s - 2 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 331074080.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -322611, -322581, -322551, -322521, -322491?\n\"Answer: 30*r - 322641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 - 17. Let s be (j - -3)*4\/6. Suppose 5*a - 5*d - 180 = 0, -4*a + 0*a + s = -5*d. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 7:33 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084 + 4.3?\nAnswer: 4.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4874995*i + 40. Let v be g(-8). What is v rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 499143462 by 6.\nAnswer: 83190577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -971720 rounded to the nearest ten thousand?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u, -2*u - 84 = -5*j + 8. Solve 6 = 3*g + 3*m - 0*m, -4*m + j = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -15. Let a(n) = -3*n + 9. Let z be a(v). Suppose z + 99 = 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -14. Let m = -2980 + 2979.2. Sort c, m, -4.\nAnswer: -4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -4*h**3 + 9. Let s(q) = 5*q. What is s(w(b))?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Suppose 4*r = -3*x + 14, 3*r - x - 4*x - 25 = 0. Let c = r - 3. Let b(v) = 3*v - 3*v - v**c. Calculate z(b(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 886*y**3 - 130*y - 876*y**3 + 158*y.\nAnswer: 10*y**3 + 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*v**3 - 8*v**3 + 65*v**3 + (4*v - v - 4*v)*(-2 + 2 + 2*v**2) - v**3 - 2*v**3 + v**3)*(-6*v**2 - 3*v**2 + 2*v**2).\nAnswer: -672*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*r*r**(1\/3)*r*r**0\/r**4*(r*r**2*r**(-6)*r*r)\/(r**5\/(r\/(r**(-4)*r)*r)) assuming r is positive.\nAnswer: r**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {b: 6, p: 4, o: 1, d: 7}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 3 + sqrt(405) + -2*sqrt(405) - (-5 + -1 + sqrt(405) + sqrt(405)))**2.\nAnswer: -324*sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = b + 20, 0*t - 5*b = 4*t - 16. Find the first derivative of 29*z**4 + 25*z**t - 46*z**4 + 11 wrt z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-4*61\/(-488)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -2*t - 2*f - 21, 8 = -t + 2*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3 - z + 2 + 3*z. Let f(r) = 14*r**2 + 3*r - 42. Let u(h) = -f(h) + 3*m(h). Find the first derivative of u(w) wrt w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 153*a**4 + 4*a - 160*a**4 + 2 - 1 + (-6*a**3 - 2*a**3 + 3*a**3)*(-2 + 2 + a) in the form k*a**2 + w*a + h + p*a**4 + t*a**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**3 + 3*n**2 + n. Let k(p) = 6*p - 15*p + p**3 + 12*p - 29*p**2 + 13*p**3 + 37*p**2. Suppose 0 = 2*y + 8 - 0. Give y*k(s) + 11*h(s).\nAnswer: -s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 43097*r - 12196445. Give i(283).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -17\/3. Let y = -3 + 2. Let z be ((-4)\/(-80))\/(1\/(-2)). What is the third smallest value in y, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*f - 9, -4*f + 9*f + 5*n = -30. Which is greater: f or 1\/148?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-1\/3)\/o)\/o)\/o*o*o)**(-19)\/(o**12)**(27\/7))**(9\/2) assuming o is positive.\nAnswer: o**(-660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + 50. Let y(b) be the first derivative of -17*b**2\/2 + 5*b - 1. Let q be y(-5). Calculate the greatest common factor of q and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2052, 2043, 2032, 2019, 2004, 1987?\n\"Answer: -a**2 - 6*a + 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(208) + (sqrt(208) - (1 + sqrt(208) - sqrt(208))))*1 - (sqrt(208) + (sqrt(208)*1 + sqrt(208) - sqrt(208)) + -2))*6)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15140305 (base 7) to base 8.\nAnswer: 5371217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 11. Let a be g(5). Let n(k) = -7*k - 9. Let w(v) be the second derivative of 2*v**3\/3 + 5*v**2\/2 + 149*v. Determine a*n(u) + 11*w(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 34 = 4*i. Let j be (i\/(-5))\/((-6)\/15). Let q(f) = f**2 - f + 1. Calculate q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121212 + 1110122?\nAnswer: -1011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 769*y - 764*y - 7*y**3 - y**3 + 17*y**3.\nAnswer: 7*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 3, n: 4}. What is prob of sequence nun?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 821925 a multiple of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 11723.43.\nAnswer: -3517.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 2. Suppose p - d = -p. Suppose n - p*u = 21, -4*n - u + 109 = -9. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i**2. Let h(s) = -3*s. What is h(n(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:08 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from gbbbg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4864507.\nAnswer: 1153, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18289 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -27. What are the prime factors of (s\/(-25))\/(2\/(-50))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3926*u**2 - 7097*u + 14189*u - 7092*u to the form x*u**2 + b + z*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -3, 21?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -5. Let -4 - 4*s**5 + 0*s**5 - 8*s**3 + 12*s - i*s**2 + 12*s**4 + 0 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6269 + 0.3731. Which is the smallest value? (a) q (b) 6\/89 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85047 is divided by 42523.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2121 + a + 2121 + 0*a + 0*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618144121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-10) + 0)\/(-20*(-23)\/4600).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315971, 631962, 947967, 1263992, 1580043, 1896126, 2212247, 2528412?\nAnswer: 2844627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + ((-5)\/(5\/2) - -10). Solve z*k + 12 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.2. Let d(v) = -14*v**2 - 264*v - 1219. Let y be d(-8). Let h = 0.86 - 0.8. What is the nearest to o in h, -0.3, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 101*j - 96*j - 3*j**3 + 79.\nAnswer: -3*j**3 + 5*j + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 6. Let s be n(8). Suppose -33 = -4*m + s*f + 31, -m - 3*f = -2. Suppose 2*k + 2 = m. Solve k*p = p - 5*x - 30, 0 = 3*p + 5*x + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -2\/21, -161.2, -8887?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -169, 2\/7 in decreasing order.\nAnswer: 6, 2\/7, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -213341431?\nAnswer: -213341424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -18 (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11941*-21.64\nAnswer: 258403.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:35 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:06 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -1786 + 1588 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 58*r + 2. Let c(w) = -6*w - 4. Let m(s) = -23. Let q(d) = -77. Let x(h) = -10*m(h) + 3*q(h). Let j(k) = -c(k) + 4*x(k). Calculate l(j(i)).\nAnswer: 348*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 bigger than -55.6624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*o**2)*(-o + 0*o + 0*o) - 383*o**2 - o**3 + 3*o**3 + 365*o**2 in the form q*o**2 + s + k*o**3 + r*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = w. Let u(g) = 3*g**2 - 2*g + 36. What is the hundreds digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1\/5)*x)\/x)\/x)\/x)\/(x\/x**2)*(x\/x**(-1\/3))**(-2\/45) assuming x is positive.\nAnswer: x**(-34\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-214)\/1170 + 4 + (-57)\/15. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -5 = -4*o + x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p**2 - 88*p - 2. Suppose 0*n = -4*n - 3*x + 48, 2*x - 44 = -4*n. List the prime factors of t(n).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 119\nAnswer: 25\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23.6 (b) -2 (c) 1\/5 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33602 - 33584. Which is smaller: n or 0.563?\nAnswer: 0.563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/3? (a) -5\/2 (b) 1\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from adaadpjapattajd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 11280.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -3*z**2\/2 - 5*z + 3. Let d be u(-3). Suppose -2*h - 14 = -d. Let n(k) = -2*k - 6. Determine n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7323129*s. Let y(o) = -o**2. Determine g(y(q)).\nAnswer: -7323129*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d - 3. Give i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1367046 * -0.33.\nAnswer: 451125.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*u + 2182 + 28184 = -1540*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) -2\/23 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3524 (base 8) to base 15\nAnswer: -851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(112)*-2)**2 - (-3*(sqrt(70) + (sqrt(70) - -2*sqrt(70)) - sqrt(70)))\/((1*sqrt(70))\/sqrt(7)).\nAnswer: -23*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2956434 by 3.\nAnswer: 985478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*r - 5*l, 3*r + 17*l + 47 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 7 + 7 - 11*u**2 - u**2 + 23*u**2 + (-u**2 - u**2 + 3*u**2)*(3 + 1 - 6) to s + w*u**2 + o*u and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:13 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1211, 1212, 1213, 1214, 1215?\n\"Answer: f + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 - 46*h**2 + 9272*h = 0. What is h?\nAnswer: -122, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 23*w**7\/15 - 66*w**3 - 104*w**2 - 1. Find the first derivative of n(r) wrt r.\nAnswer: 1288*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1836)\/136*3\/(-54). Let v = 6.7 + -7. Which is the smallest value? (a) l (b) 1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 167365048 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -11.37, 3\/5, 0.1, 0.5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -2)\/(6\/(-9)). Let h = 131 - 69. Suppose 0 = m*j - h - 43. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -2)**2 + -4 + (-3*1*sqrt(68))**2 - (sqrt(68) - (sqrt(68)*-2 + 1) - (sqrt(68) - -2*sqrt(68)*-2 - sqrt(68))).\nAnswer: -22*sqrt(17) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6 = -3*m, -5*m = -5*v - 6*m - 2. Solve o = -v*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -84*o + 257. Let j be l(3). Solve -j*u + 8 = -4*d, 4*d = -u + 42 - 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32386603 is divided by 419.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(40)*2 - sqrt(40))\/((-1*sqrt(72))\/sqrt(9)) + ((sqrt(330)*-1)\/sqrt(6) - sqrt(55) - sqrt(55))\/(1*sqrt(539)) + 0.\nAnswer: -66*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/9*m**3 + 2*m + 4\/3*m**4 + 0 - 4\/3*m**2 - 2\/9*m**5 = 0. What is m?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 12\/8)*0. Suppose -6*s - 21 - 219 = z. Is (s\/3)\/(8\/(-84)) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.1. Let l = -12 + 14. Which is the nearest to i? (a) 0.5 (b) -1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 3) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 42. Let u be w(-7). Let f be (1 - u\/4)\/2. Let m(b) = b**2 + b - 3. What is m(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-3 + -6) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/19 - 1853358*s\/19 + 3706724\/19.\nAnswer: -2*(s - 2)*(s + 926681)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 102 = 2*t + o, -3*o - 6 = 0. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/12 and 151\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 72 + 19 = 0. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 15. Let b be h(13). Let u be (8 - -5) + 6\/b. Let r be (-1100002)\/(-10) - 2\/u. What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221287 - 0.1\nAnswer: 221286.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 9*q + 7. Calculate v(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4362747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 22*j = 0. Solve j = -3*p - d + 11, d + 6 - 1 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(7) + 0)*3*5)**2.\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(-3*6\/(-108)). List the prime factors of (0 + i\/3)*2625\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 21*t**5\/20 + 11*t**2\/2 + 40*t. Differentiate i(q) with respect to q.\nAnswer: 63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/120 - 1\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2109 + -2109. Sort 6, p, -4, 4.\nAnswer: -4, p, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7550 + -7548. Sort m, -6, 1, 17 in decreasing order.\nAnswer: 17, m, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*g**2*q**3 + 830*g**2*q + g**2 - 3*g*q**3 wrt q?\nAnswer: -342*g**2*q - 18*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1162 and 30781?\nAnswer: -35767522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 26 + 19. What is the remainder when r is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 9*w**3 - 3*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 36 = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 409655370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 27*u**2 - 20*u - 1. Suppose 5*y = -2*x + 129, -5*y + x = -69 - 54. List the prime factors of w(y).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-129)\/(-6) - (-2)\/4. Suppose c + c + 3*l = m, -4*l = -2*c + 8. Calculate the smallest common multiple of c and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442*f**3*k**3 - f**3*k + 37*f*k**3 - 6*f*k**2 + 5*f*k + k**2 wrt f?\nAnswer: 2652*f*k**3 - 6*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111000001 (base 2) to base 15.\nAnswer: -109b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -463242 (base 7) in base 16?\nAnswer: -14367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 7*f + 13 - 3 + 9*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 727*a - 1056. Let h be j(-17). Round h to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.653577ms in seconds?\nAnswer: 0.000653577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:54 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Suppose -4*x - 2*s = 89 - 671, 597 = j*x - 3*s. Calculate the highest common divisor of x and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.87 (b) -0.3 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4815, -4831, -4857, -4893, -4939, -4995, -5061?\n\"Answer: -5*g**2 - g - 4809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((240\/768)\/((-1)\/(-12)))\/((-10)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450*o**2 - 15*o - 11 wrt o.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*g + 25 = 0, 0 = 4*j + 3*g - g + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 8*n**2 - 10*n + 4. Let a be m(7). Let h be -8 - a\/2 - (-196002)\/(-4). What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + -40. Let z = -42 - f. Let x = 18 - z. Solve -5*l + 5 = -x*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -104, -162, -224?\n\"Answer: -2*w**2 - 48*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1815*l**3 + 3464*l**3 - 1646*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 - 5*y - 3. What is the remainder when j(-7) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277349.\nAnswer: 3, 425783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86620540*o**4 - 647592029 wrt o?\nAnswer: -346482160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:21 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z + 100. Suppose 2*x = -x + 9, -1 = i - 2*x. Suppose i*f - 81 = -4*u + u, 0 = f - 2*u - 24. What is the lowest common multiple of z and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 3350325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -122, -119, -110, -101, -98, -107?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a259 (base 14) to base 8\nAnswer: 66407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 0*y**2 + 3*y**2 - 24 + 30 + y**2 - 3*y**2.\nAnswer: 4*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172591?\nAnswer: 107, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.4 + 1.8. Let d = -61 - m. Let o = d + 7. What is the third biggest value in -5, o, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204880*r**5 + 2*r + 61068 wrt r.\nAnswer: 4097600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tvvtetevevetttvtv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.035 - -0.03. Let f = j + 2.835. Let p = 2.90000038 - f. What is p rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 120*i**2 - 796*i + 695. Give v(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*907.\nAnswer: -453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -1 (c) -1\/8 (d) -0.58 (e) -777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15)\/((-16)\/10100). Let a = f - 5585\/22. Let g = -2763\/10 + 274. What is the common denominator of a and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, w: 7, q: 4}. What is prob of picking 1 q and 3 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -367, -812, -1435, -2236, -3215, -4372?\nAnswer: -5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27170 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 + x**3\/3 - x**2\/2 - 54*x. Let n be 2\/(1*2*1). Give u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 216 - 1929. Find the second derivative of t*o + 42*o - 133*o**2 + 67*o + o**4 wrt o.\nAnswer: 12*o**2 - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 14. Suppose c + r - 36 = -3*c, 3*r + 62 = 5*c. What is the lowest common multiple of c and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-14) - (-4712)\/(-912)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1239783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*i**5 - 429*i?\nAnswer: -5900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 38. Let n = 18.8 - j. Which is the smallest value? (a) -5 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12700693.\nAnswer: 41, 71, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + 2*l**2 - 3*l**2)*((1 - 4 + 4)*(5 + 2*l - 5) + 213*l - 163*l + 343*l).\nAnswer: 1580*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12\/v**(8\/11))**(-27) assuming v is positive.\nAnswer: v**(-3348\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + -3 - (0 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 23616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653768998 to the power of 1\/3, to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + z = 9 - 79, z = 2*m - 36. Solve 4*v + i - 21 + 8 = 0, 3*i - m = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 124 - 56. Let w = 27 + g. What are the prime factors of (-872)\/(-44) - 6\/w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209.14 + 209. Sort -1\/2, -3\/8, c in descending order.\nAnswer: c, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 1312?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 20, -3, 0.3, 4, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - 5 - 11 - (15 + 0)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 14*v + 5. Suppose -o + 6*o - 15 = 0. Let z(j) = -469*j + 25 - 28 + 942*j - 480*j - j**2. Calculate o*h(c) + 5*z(c).\nAnswer: -2*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7 - (-3720)\/(-1085).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14)\/63*47\/4 and (545\/30 - -4) + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -1222024?\nAnswer: 1222043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**6\/15 + 423*c**5\/10 + 425*c**4\/2 + 1277*c**3\/3 + 426*c**2 + 522*c + 2. Factor h(l).\nAnswer: -2*(l - 426)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5229.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(11\/2)*579\/386?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, h: 2, b: 4}. What is prob of sequence bhb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 12 - 13. Let d be 2*(f - 20\/(-8)). Suppose 6*o - 2*o - 36 = 4*z, -15 = 3*z. Put 10, o, d in decreasing order.\nAnswer: 10, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-32)\/6. Let f be (6\/v)\/((-6)\/105). Suppose i - f = 19. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 57, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 157500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 5) in base 14?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 943.\nAnswer: -3772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + 2 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84959.63 litres?\nAnswer: 84959630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*q - 6 - 528*q + 12 - 6.\nAnswer: 75*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 316793 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -730, -1096, -1462, -1828?\nAnswer: -2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.71 and 1525.\nAnswer: -8707.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + n**2)*(-1260 - 568*n + 1260)*(1 + 1 + 0).\nAnswer: -1136*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3159 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 4. Let y = 0 + 3. What is the units digit of q(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-25)\/(-50))\/((5 + -10)\/(-30)). Let g(f) = -16*f + 3. Calculate g(l).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71077055990 rounded to the nearest 1000000?\nAnswer: 71077000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8753 + 8752.5. Which is the smallest value? (a) 1\/5 (b) w (c) -753 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1149*n**2 + 1444*n wrt n?\nAnswer: -2298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 plus -321486020532?\nAnswer: -321486020384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 595249.7 milligrams?\nAnswer: 595.2497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**3 + 3*k**2 - 2*k. Let p(j) = -7*j**3 - 2*j**2 + 2*j. Let r be (231\/308)\/((-1)\/((-40)\/(-15))). What is r*y(m) - 3*p(m)?\nAnswer: 9*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 288\/9 + (2 - 2). What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64551*c**3 + 129098*c**3 - 64548*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n = 57*n - 55178515. Let i = 0 - -2. Suppose -n = -i*m + 1894205. What is m rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/28 and 81\/62?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90726576 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1188, -2365, -3494, -4545, -5488?\n\"Answer: 5*p**3 - 6*p**2 - 1194*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 - -129. Let f = 43 - h. Calculate the remainder when 164 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 36*h**2 + 2*h. Let p(v) = 6*v + 5. Let q(j) = -4*j - 4. Let o(c) = -4*p(c) - 5*q(c). Calculate o(u(w)).\nAnswer: -144*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*o = 65 - 85, 5*o = -3*l - 31. Put 1, l, -105 in increasing order.\nAnswer: -105, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -1)*-1 - 138. Let v = 95 + g. Calculate the lowest common multiple of 22 and ((-48)\/v)\/((-3)\/(-10)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 982501, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1677 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**4 + 44*v**3 - 7*v**4 + 10*v**4 + 2 - 5*v**4 - 7*v**3 + v**2 as l*v + r*v**2 + z*v**3 + d + h*v**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 20*o + 31. Let z be u(4). Let b be -4*1*(-12)\/16. Let p(t) = 3*t**2 + 2*t**2 + t - 5*t**2 - 5*t**b. Give p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*1 - sqrt(1300)) + sqrt(39)\/(sqrt(12)\/sqrt(4)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(468) + -1 + -3) + -3)**2.\nAnswer: -108*sqrt(13) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265360332 divided by -132680166.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1550 - -b2f?\nAnswer: -a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - y - 3. Let c be n(4). Suppose -2*l + p = -10, p - 5*p + c = 5*l. Suppose 5*t - l*i - 137 = -22, -31 = -t - 3*i. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 7) in base 8?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2, -1\/12, 4\/9 in descending order.\nAnswer: 2, 4\/9, 2\/11, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 448431*t**2 + 1746*t + 2619. Let x(p) = -2057*p**2 - 8*p - 12. Let d(w) = -4*g(w) - 873*x(w). Let k(f) = -f**2. Give k(d(u)).\nAnswer: -4149369*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47588519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**5 + 0*j + 8\/3*j**3 - 4\/7*j**7 + 0*j**4 + 2 + 0*j**6 + 0*j**2. Find the third derivative of f(g) wrt g.\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(4032) + -3)**2 - 3*((-1 + sqrt(4032) + sqrt(4032))**2*2 + sqrt(4032)).\nAnswer: -92729 + 312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 221. Let s(v) = -2*v**2 - 24*v - 8. Let r(l) = -11*l**3 + l - 1. Let y be r(1). Let m be s(y). What is the greatest common divisor of m and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-4) - ((-456)\/(-19) + -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52142, 52090, 52038, 51986?\n\"Answer: -52*w + 52194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y = 36*y + 33*y + 162*y - 10647 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -79 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {r: 2, z: 2, m: 3, j: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 16 = -4*z. Let b(w) = -w + 6. Let h be b(z). Suppose -66 = -4*t + 5*k, 3*t + k - 69 = -h. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 v, and 1 g when four letters picked without replacement from {v: 2, g: 2, j: 6, o: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/12 - i**3 - i**2 - 2*i. Let q be v(-6). Suppose 3 = -5*l - g, 4*l + g + 3*g - 4 = 0. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/6 and (-31)\/(-31) + (-96)\/(-21) + -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(98) + sqrt(98))**2 - -6*(sqrt(98) - (0 + sqrt(98) - sqrt(98)) - sqrt(98) - sqrt(98))**2.\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5127.121 to the nearest integer.\nAnswer: 5127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.321 or 19.931?\nAnswer: 19.931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - 14)\/(0 + ((-105)\/25 - -4)). Let c be 2\/1 - (3 - 5). Solve 3*y = -k - c*k + 24, y = n*k - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*f**2 - 59 + 59 - 175*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 1053, 1569, 2103, 2661, 3249?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 4*p. Let f be ((-3)\/4)\/((-1)\/4). Suppose -42 = -p*d - f*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.1 - -13. Let o = 1 + y. What is the nearest to -0.1 in -1\/3, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c + 1. Let s(w) = 5*w**2 - w + 14. Let l(q) = 6*p(q) - s(q). Let d be l(6). Find the common denominator of -1\/8 and d\/((-16)\/61) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) + sqrt(15) + sqrt(15)*3)\/sqrt(5) - (sqrt(3) + (sqrt(243)*-5)**2)) + sqrt(108) + 0 + (sqrt(108) + 4)**2)*-2.\nAnswer: -116*sqrt(3) + 11902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 51, 120, 237, 414, 663, 996, 1425?\n\"Answer: 2*o**3 + 6*o**2 + o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**3 - h**2 - 4*h + 3. Let k(r) = -17*r**3 - 2*r**2 - 9*r + 6. Determine 9*c(q) - 4*k(q).\nAnswer: -13*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 860993.1 years in months?\nAnswer: 10331917.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1724140 and -1724142 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28\/13 (b) -0.5 (c) -109 (d) -2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 + 9*n - 4. Let g be c(-4). What is the common denominator of 670\/45*12\/g and -76\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12514\/18 - 40\/180. Suppose -5*v + a + 1366 = -m, 417 = v + a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399249 is divided by 335?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -29. Suppose -o*g = -2*g - 490. 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: Simplify ((q*q\/(q*(q\/q**(1\/2))\/q*q))**(7\/2))**(18\/11)*(q**(-1\/3)\/q)\/q**(-2)*(q*q\/((q\/(q**(-5\/4)\/q))\/q))\/q**(-1) assuming q is positive.\nAnswer: q**(565\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 18. Let f be s(6). Suppose -4*q = -46 - f. Calculate the remainder when q\/(-8) - (-2 + -4) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4412 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163317395 divided by 1115.\nAnswer: 146473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169308000 by -720.\nAnswer: 235150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**35*g\/g**(-13\/5)*g\/g**20*g\/g**(-2\/37) assuming g is positive.\nAnswer: g**(3821\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 11*n**2 - 3*n**2)*(-3*n + 3*n - 2*n**2).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojv. What is prob of sequence ov?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12123 + 12121. Which is the second smallest value? (a) -833 (b) 1\/2 (c) -3\/4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 6, j: 11}. Give prob of picking 1 z and 1 d.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66, 136, 206?\n\"Answer: 70*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6192.424l to millilitres.\nAnswer: 6192424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21146346*j*w**3 - 3533741*j*w + 2*j + w**2 wrt w?\nAnswer: 126878076*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 18. Suppose -l = -p*u - 2, 0 = 3*l + l + u + 77. Let w = -16 - l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 0*c = 12*c. Solve c*a + 3*a = -3, -b = 5*a + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -7*k**6\/180 - 398*k**5\/45 - 7505*k**4\/12 + 722*k**3 + k**2 + 378*k. Determine i, given that y(i) = 0.\nAnswer: -57, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*s = -s - 5, 0 = 2*a - 3*s + 7. Let j be (3 - (-11)\/a)*-2. Suppose 5*u - u - 8 = 0. Solve j*h + 0*h - 22 = -4*r, 4*h = -u*r + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214987 (base 10) to base 15.\nAnswer: -18eee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 1 = -z. Let t(y) = y**3 - 2*y**2 + y. Let j be t(z). Let p(g) = g**3 - g**2 - g + 8. What is the lowest common multiple of p(j) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 15, 23, 33, 45, 59, 75?\n\"Answer: j**2 + 3*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95844100*s**3\/3 + 319467280*s**2 - 130532*s + 40\/3.\nAnswer: 4*(s + 10)*(4895*s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupwwpwllpwlwwlplbp. What is prob of sequence llb?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 7}. What is prob of sequence ww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 18*r**2 - 21*r + 33. Let z be o(19). What is the closest to 0.55 in -0.1, -0.2, -1\/3, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyeyexe. Give prob of picking 3 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 576367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 3, -2\/13, -16, -1.\nAnswer: -16, -1, -2\/13, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -13*z**2\/2 - 3*z + 8. What is the tens digit of b(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:02 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*z - 62 = -0*p, 34 = 2*p + 2*z. Calculate the remainder when 27 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -3527.\nAnswer: 9\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - 872\/(-36). Find the common denominator of -149\/18 and (-1)\/(-2) + (-153)\/y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2. Let v(a) be the second derivative of -5*a**3\/6 - 7*a. Determine o(v(s)).\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 97.626 from -208.\nAnswer: -305.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18331 = -5*l, -36*i = -3*l - 31*i + 10980. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -16*d**4 + 188*d**3 - 60*d**2 - 748*d - 484 = 0.\nAnswer: -1, 11\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 1064?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 54132 = 146*v - 144*v, 90219 = 5*k - 3*v. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672689.\nAnswer: 113, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.50822816 rounded to 3 decimal places?\nAnswer: 75.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -239616.03993 + 8.\nAnswer: -239608.03993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 2, r: 1, n: 9, y: 2}. Give prob of sequence ye.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 351505. Let n be k(0). Suppose 518595 + n = 5*d. Suppose l - 30447 - 27533 = 4*w, -3*l = 4*w - d. Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -363*a - 276. What is the hundreds digit of f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15900414 by -24767.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48072308 and 4.\nAnswer: 48072312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 339448907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -204270373336340 less than -5?\nAnswer: 204270373336335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)*x)**(1\/7)*((x\/(x\/(x\/x**(-12))*x))\/x*x)**(-16) assuming x is positive.\nAnswer: x**(-8059\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 54*n**2. Let u(c) = 3*c**2 + 18*c. Give u(x(a)).\nAnswer: 8748*a**4 + 972*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-116)\/290)\/(3\/(-150)). Solve -5*w = 5 - y, -u - w + 7 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 bigger than 1268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11136855 is divided by 991.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 108928146 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -814, -5824, -19424, -45910, -89578, -154724, -245644?\n\"Answer: -716*x**3 + x**2 - x - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -s - 0*s + 13, 5*s + 5*y = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhctyc. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-520)\/10530*4\/((-56)\/63)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14608880.\nAnswer: 2, 5, 11, 13, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 180354089 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(24) + sqrt(216)\/(sqrt(9)*-1))\/(4*sqrt(24)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s*s**(-4\/3))**(-27)\/(s**(1\/2)*s**0)**(-48) assuming s is positive.\nAnswer: s**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(33*g**5 - 48*g**5 + 26*g**5).\nAnswer: -22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.2 - -32.2. What is the closest to u in 11, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23481\/(-12) - (12\/16)\/(-1). Let r = w - -4067. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 4*q. Let k be p(-5). Let c = -0.099 + 0.099. Let j be 6\/(-4)*8\/18. What is the nearest to j in -4, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = p - s, p + s + 6 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**3\/3 - 7*p**2\/2 + 5*p - 8. Let j(s) = -2*s**2 + 6*s - 4. Determine -6*j(v) - 5*w(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2 - 545*n**3 + 549*n**3 + 144 - 11*n**2 - 48*n - 3*n**2 - 14*n**2.\nAnswer: 4*(n - 6)*(n - 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -2. Calculate the remainder when 43 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43\/4 in -3\/5, 0.2, -2\/15, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -125.9 and -42.\nAnswer: -167.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*-6*(-2)\/18\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2140143?\nAnswer: 2140144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 8\/(-12))*-6. Suppose 5*m = 3*g + 160, m + 9 = 2*m + z*g. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 12*c - 56 = 0. Suppose 15*d = c*d - 3. Let k be (4\/6)\/((-2)\/(-2)). What is the third smallest value in d, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 45541206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5\/2))\/(d**(-9)\/d*d)*(d*d\/(d\/(d*d*d**(-9))))\/d*d**(-6))**(-12\/5) assuming d is positive.\nAnswer: d**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -948a42 + 172?\nAnswer: -948890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13302201031 (base 4) to base 15\nAnswer: 2a503d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:41 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5599811 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 315\/(-140) + 8266\/8. Suppose 0*g = -2*g. Suppose g = -3*a + 370 + j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 10. Suppose -3*i + 241 - 10 = 0. Suppose 47 = k*p - 2*l - i, -5*l = 5*p - 110. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79965080?\nAnswer: 2, 5, 13, 103, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 7*a + 4 = 0. Is 9 - a - (0 + 2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1059049 + 1059049 - 5*f**2. Let o(t) = -3251*t. Give i(o(r)).\nAnswer: -52845005*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 744270507 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 42*q - 255. Calculate i(-47).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 4*t + 1. Let i be u(-3). Suppose -i = p - 25. Suppose 4*f - p = f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 203*t**2 + 515*t + 16. Let y be o(-7). Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-5) - 2*(-9)\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.5? (a) -1\/299 (b) -1 (c) 3 (d) -3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*t + 9, -13*z - 10*z = -22*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -f, 0 = r + 4*f - 47. Let i = r - 33. Sort 4, -5, i.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 + 8*h**4 + 128*h**3 - 92*h**2 - 1950*h - 2700 = 0. Calculate h.\nAnswer: -5, -3, -2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 5, -4, 3, 0, -2497 in descending order.\nAnswer: 6, 5, 3, 0, -3, -4, -2497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 20 = -5*w, -2*u + 3*w + 9 = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 87, 107, 133, 165, 203, 247?\n\"Answer: 3*i**2 + 5*i + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6111 is divided by 2966?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -6. Let l = 131785 - 131744. What is the remainder when l is divided by -2*(0 + (n - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 114612 = 4*d - 3*v, -v = 3*d - 171929. Suppose -j + 72691 = -d. Suppose -t + 0*t = -j. Round t to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 15367416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5181 greater than -5179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 + 5*d + 5. Let h be f(-4). Suppose 0 = 4*a - 31 + 131. Is -2*h\/2 - a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 104*j. Let i(m) = 93394*m**2 + 29. What is i(f(p))?\nAnswer: 1010149504*p**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 1:19 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90900521 a multiple of 3499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116543 (base 7) to base 10\nAnswer: 21542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 196 - 9\/6. Let s = z - 176. Let d = -219\/10 + s. Which is the nearest to -1? (a) -5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 845 and 12337?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 - 2*t. Let f(q) = 16*q**3 + 11*q. What is 2*f(o) + 11*i(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32 + (2 - (5 - 2)))\/(-1). Let g(v) = 61*v - j*v - 30*v. What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1568\/(-52) - 8\/(-52). Let c be (3\/(-6))\/((-5)\/s). What is the units digit of (-8)\/(-3) + 2\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*b + 203*b = 56 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 1004844*v**2 + 32154496*v + 771703808\/3.\nAnswer: 2*(v + 16)**2*(v + 1507234)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 n when three letters picked without replacement from {n: 2, f: 6, t: 2, a: 1, s: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 10, 0 = -5*b - t + 16 - 21 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) 114 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-292)\/(-49) + -6)*-7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(189)*-1)\/sqrt(9))\/sqrt(3) - ((sqrt(28) - sqrt(7)) + -1 + sqrt(7)*-2 + 1).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*c - 38, z + 31617 = 3*c + 31564 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1166 - -12a93?\nAnswer: 11928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 2 - 4*n**2 - 5 + 2*n**3 - n**3. Let s be w(3). Solve -3*p + s*a - 32 = -2*a, -4 = -p - 2*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 + 2. Suppose g*j - 29 = -5*t + 6, -2*j + 20 = 2*t. Let a(r) = r**3 + 8*r**2 + 5*r - 5. Let k be a(-7). Solve 11 + k = j*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 5. Let d(q) = 3*q + 2. Determine -2*d(z) + 3*f(z).\nAnswer: 3*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769 = 3*j - 332. Let y = j + 171. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/5 - 3570242*u\/5 + 3186656984641\/5 = 0.\nAnswer: 1785121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 30757853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*a**3 - 30*a**3 - 2*a - 22*a**3 - 35*a**3 + 5*a**2 as v + s*a**2 + u*a**3 + q*a and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a**2 + 197*a**2 - 380*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02667 to 4 decimal places.\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7465 = 3*x + 25460. Let d = x - -23447. Suppose 10*z = 2*z + d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2 + 6184*i + 3800232 = 0.\nAnswer: -2246, -846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 12*r - 50 - 5*r - 5*r - r.\nAnswer: -5*r - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 138\/(-9)*6\/(-4). Suppose -c = -2*l + 3*h, 5*l - 44 - 1 = 5*h. Solve -3*x + 41 - 10 = 5*o, l*o - 3*x = 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 100.4. Let r = -3 + 3.2. Sort h, r, 6 in increasing order.\nAnswer: r, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*a - 16 - 12, 3*a = 4*d + 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 0 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438017, 438016, 438015, 438014, 438013?\nAnswer: 438012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132680304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*y - 9 + 7 = 0, 4 = 5*k - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 39, 57, 79, 105, 135, 169?\n\"Answer: 2*l**2 + 8*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + 3*(sqrt(2268) - (sqrt(2268) + 1)**2))*1*3.\nAnswer: -20421 - 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 22158*r - 973042. Give s(44).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 2. Let l be d(7). Suppose -2*h + 5*h + 2*i + 16 = 0, i - 1 = 3*h. Sort h, l, 5 in decreasing order.\nAnswer: 5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 11. Suppose -9*r + 3*r + b = 0. Factor -r*x**2 - 9*x - x**2 + 2 + 2*x + 4*x.\nAnswer: -(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*u**3\/2 - 1189077*u**2\/2 - 978563163*u\/2 + 979752601\/2.\nAnswer: -(u - 1)*(19*u + 31301)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 7*b**2 - 5*b - 8. Let g be d(-6). Let y = -6 - g. Calculate the lowest common multiple of y and 4 + 14*(-1)\/(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 991037.2us?\nAnswer: 0.9910372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 2001*u**3 + 1169*u**3 + 988*u**3 as l*u**3 + k*u**2 + z + a*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*a*y**2 - 16*a*y*z - a*y - 2*a + y**2 + 11999*y*z wrt a?\nAnswer: -41*y**2 - 16*y*z - y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38014, -37980, -37956, -37948, -37962, -38004, -38080, -38196?\nAnswer: -38358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Let s = 0 + c. Let h = -5.3 + s. What is the third smallest value in -4, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3, f: 1, l: 1, n: 4, x: 5, m: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*n = -6202 + 6226, -2*n + 0*n = 6*b - 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1936278 and 1863?\nAnswer: 5808834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*17\/(-14586)*84?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 11*t + 30. What is the remainder when 2099 is divided by y(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2564, 6552, 11916, 18656, 26772, 36264, 47132?\n\"Answer: 688*u**2 + 1924*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njzimzjzzzzjmz. Give prob of picking 1 i and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 9*n - 1. Let g be q(5). Let m be g\/1 - 20\/10. Suppose 0 = 2*z - 2*p + 16, -z + 0*p + 1 = m*p. Let l(h) = -h**2 - 2*h + 6. What is l(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84856495, -84856497, -84856499, -84856501?\nAnswer: -84856503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 13. Let k be q(7). Solve 0 = -0*r - 4*r - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -463, -457, -441, -409, -355, -273, -157, -1?\n\"Answer: c**3 - c**2 + 2*c - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/9 - 68*b**3\/3 - 3071*b**2\/3 - 66572*b\/9 + 65340 = 0.\nAnswer: -22, 5, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426562273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463.627 - -487.6. Let r = o + -24. Round r to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o - 2. Let m(q) = -q. Let h be (-4)\/(-2)*(-1)\/2. Let r(k) = h*c(k) - 2*m(k). What is the remainder when r(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5455.239 centuries?\nAnswer: 6546286.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + -1.3. Sort 0, 0.08, l.\nAnswer: 0, 0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -45 + 0*s - 2*s + 45. Let l(a) = -2*a**2 - a**2 - 4*a**2. Determine l(o(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyyy when four letters picked without replacement from {y: 5, x: 3, v: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/161 and -33\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50884 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) 0 (b) -551 (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.992 - 0.092. Let x = m - 6. Let k = -0.1 + 0.3. What is the closest to x in -3, -3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 14*x - 2. Suppose 0 = 5*u - 5*q + 60, 3*u + q = -16 - 12. What is the remainder when i(u) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4867 + 40?\nAnswer: 4907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.18123 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1017 = z, -103*z = 2*n - 108*z - 2020. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3498 + -3497.9. Sort 0.003, 4, z.\nAnswer: 0.003, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1326 and 748?\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**4 + 2*t**4 + 7*t**4 - 2*t**3 + t - 2*t**4 as j + r*t**3 + u*t**4 + y*t**2 + k*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkkkktktkkkkkkktkkk. Give prob of picking 3 k and 1 t.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 7, z: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 14433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -cb28?\nAnswer: -cb28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-16)*71760\/(-5175)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 4*x - 4, 3*c - 183*x + 180*x = 15 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173141*r**4 + 173141*r**4 - 10*r + 3*r**2 + 511*r**6 wrt r.\nAnswer: 61320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655360814?\nAnswer: 2, 71, 139, 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtc when three letters picked without replacement from iddicicdciiiedt.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945660 is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(10))\/sqrt(2))**2*6.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5454756849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 12:47 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -6*h - 103. Let w = h + 45. Suppose 2*y = 112 + w. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1448617\/2 and 724309 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 12. Let m be z(14). Solve m*s + 7 - 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 7*c - 4*n - 4, c = -n - 1. Let x = -70 + 71. Suppose g + c = x. Calculate the highest common divisor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(192) - -3*sqrt(192)) + sqrt(14)\/sqrt(28) + (sqrt(22) - sqrt(198))\/sqrt(11))**2*-2*2.\nAnswer: -529\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1128 in 3, 0.15, 4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -0.09. Let y = 0.18 + f. Let z(r) = -r**2 + 5. Let x be z(0). Which is the closest to y? (a) x (b) -1\/10 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10*w = 8. Let c(f) be the second derivative of 0*f**3 + 0 - 1\/10*f**6 + 0*f**4 + 1\/2*f**w + 7*f + 0*f**5. What is the derivative of c(b) wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 30*b**2 + 4*b - 3. What is the remainder when 118 is divided by x(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 5 + 5 + (-2 + 3 + 0)*(-3 + 3 - 2*p))*(3*p**3 - 5*p**3 + 4*p**3)*(-p - 3*p + 0*p).\nAnswer: -40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-49)\/22*(-42)\/98 and 37\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/7504 and 47\/26264.\nAnswer: 52528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 10 = -2*k, -3*v = -3*k + 15. Let j(m) = 0 - 3*m**2 + v. Let x(g) be the first derivative of -2*g**2 + 7. What is j(x(i))?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 117 = -22*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 5*k, 2*k + 3 = 5*q - 0. Let p be (-6)\/2 + 18\/(-9). Let c be p*(q - 0 - 0). Let x(v) = -v**2 - 8*v - 5. Calculate x(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from hhhhhhmmmhhmmhhhhmh?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1335336)\/(-157794) - (-8)\/(-2). Let r = t + -2\/2023. Factor -36\/13 + r*b - 6\/13*b**2.\nAnswer: -2*(b - 9)*(3*b - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52032685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9\/i**3)**(-7) assuming i is positive.\nAnswer: i**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4*k**2 - 37*k + 213. Calculate z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:13 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-13) - (-16)\/(-104)) + 27763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83332000 rounded to the nearest one million?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-s - 4 + 4) + 6*s + 6*s - 6*s)*(-s**2 + 2*s - 2*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19652230 is divided by 2456528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8863 - 283567\/32. What is the common denominator of -9 - -21*15\/12 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6*m + 5*v + 15 = 0, -3*v - 11 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Solve -4*t + 12 = -0*t - 4*g, -2*t + 5*g + 15 = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.099852 - 2.1. Round u to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7543)\/(-1425627)*(44 + 1).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -50*z**2 + 952*z - 28. What is a(19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.8 + 2.8. Let k = 132.72 + -137.72. Which is the biggest value? (a) -2 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) 1\/3 (c) 1928\/15 (d) -5 (e) 69 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g - 5. Let z(a) = a + 4. Suppose 23 = 14*i + 65. Let m = -124 + 122. Give i*z(n) + m*u(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkwkwkkkkww?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 11, w: 2}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 6*v + 5. Let n be f(6). Suppose 2*q - n = 5*c - 36, q = -2*c + 7. What is the lowest common multiple of c and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 + 2*l**2 - l. Determine v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2571*g = -2542*g - 290 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/4 - 3482139*k\/4 - 3482135 = 0.\nAnswer: -3482135, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 33*r**2 + 2*r - 2. What is w(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1781 + -1712. What is the highest common divisor of 46 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -511998 - -129138.\nAnswer: -382860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -32 - 70. Suppose -6*m - 2*n = -m - 494, -3*m + 2*n = -290. Calculate the remainder when m is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(5*j + 24*j - 2*j)*(-16*j**4 + 8*j**4 + 7*j**4 - j**2).\nAnswer: 54*j**5 + 54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bseed. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2 (c) -1 (d) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2104.1 - -2105. Which is the closest to 4? (a) k (b) 3 (c) -2 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-14)*(1 + 1). Let u = 21 - n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6828988924?\nAnswer: 2, 4691, 363941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2090 = -13*v + 2168 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let z(v) = -15*v + 2. Let g(r) = 7*r - 1. Let p(u) = 7*g(u) + 3*z(u). Determine 6*d(o) + p(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*c + 530785 - 530815, a = 4*c + 30 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*0*1\/3. Suppose 5*z = -4*l + 34, 4*l - 4 = -p*l. What is the remainder when 10 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/3)\/(-5*4\/(-24)*(-2852)\/(-17825)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 217*i + 221*i + 40, 14*b = 5*i - i + 160 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0785 - -3.9215. What is the fifth smallest value in -25, -0.3, 0.4, d, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2704 by -26.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 4 - 3*d + d**3 + 0*d - 1. Let t(c) = -4*c**3 - 14*c**2 + 14*c - 14. Let g be ((-7)\/(189\/(-36)))\/((-2)\/(-21)). Give g*j(n) + 3*t(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**4 + 3*l**2)*(3 + l - 3) + 639*l**5 - 257*l**5 + 455*l**5.\nAnswer: 836*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 761035 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -208*o + 45. Let s(m) = -171*m + 44. Give -5*s(u) + 4*v(u).\nAnswer: 23*u - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m**(2\/9))\/(m**(-1\/2)*m*m**(-6)) assuming m is positive.\nAnswer: m**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*h - 12 = -4*u, 0 = -5*h - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 138*h + 44. Let y(l) = -32*l. Give w(y(v)).\nAnswer: -4416*v + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4446 (base 8) in base 7?\nAnswer: -6554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - u - 2*u + 11 = 0, 7 = 5*i + 3*u. Let l = 2.51 + -2.51. Which is the nearest to 0.3? (a) 0.2 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*z - 7, z - 40 = -4*z - 5*m. Let o(u) = -7*u - 6. Let x be o(-3). Suppose 2*y + x + 2 = 5*c, 0 = z*y - 4*c. Solve 10 = -2*i + y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 36 - 5*i**2 - 2*i**2 in the form j + u*i + g*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*i**3 - 3 + 3)*((2 - 2 - 1)*(-2*i + 1 - 1) - 18*i + i - 3*i) to the form q*i**2 + b*i + x*i**4 + f + w*i**3 and give x.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/4 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 36*v + 29 + 39*v.\nAnswer: 3*v - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-9 - -37) - 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/((-1)\/(-10)). List the prime factors of l + (-2 - 1 - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(891) + sqrt(891) + -2.\nAnswer: -7 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10755*i + 652. Is w(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5, -3*x = 5*a - 0*x - 13. What is the third derivative of -3*s + 2*s**6 + s**a + 3*s wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 1 + 0*k - 7*k)*((-4 + 3 + 2)*(2 + 0 - 3) + (6 + 2 - 4)*(-10 + 6 - 222)).\nAnswer: 4525*k - 905","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482*q = -483*q - p + 4873, 4*q + 5*p - 19493 = 0. List the prime factors of q.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. What is the common denominator of ((-10)\/(-44))\/(f\/40) and 4\/(-6) - (-44)\/(-9)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, 72, -3 in decreasing order.\nAnswer: 72, 3, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 + 11*h**2 + 2*h - 7. Let k(x) = x**3 - x**2 + x. Let a(o) = 2*k(o) + s(o). Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3776*d**2 - 3*d + 151 wrt d.\nAnswer: -7552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05523329 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzgfkzzzkgzqzcc. Give prob of picking 1 f, 1 k, and 1 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14e4c84a - 0?\nAnswer: -14e4c84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2\/4 - (-3)\/(-4)). Sort b, -3, -5 in increasing order.\nAnswer: -5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f**4 - 3\/5*f**5 + 0*f - 6 + 0*f**2 + 5\/3*f**3. What is the third derivative of i(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -0.22061, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 110?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - 1.1. Let d = q + 2. Let x = 15 + -11. What is the nearest to -1 in d, 5, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 1614 = 4*w + 1604, -5*w + 3*y = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q*r**3*w + 163333*q*r**2 + 158641154*q*r*w**2 - 2*q*w - 2*r**3*w**2 - 135*r wrt w?\nAnswer: 317282308*q*r - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 20052905.\nAnswer: 160423240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbjjjjjjj. What is prob of picking 2 b and 1 j?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 30 = 5*z + 7, 4*z = -y - 17. Suppose -2*t - 7 - 4 = -3*g, -2*t + 7 = y*g. Let w(j) = 10*j**3 + j**2 - j. Let l be w(1). Are t and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o - 2. Let f(n) = -17*n + 4. Let c(d) = 6*f(d) + 11*x(d). Let g(t) = -16*t + 11. Give 22*c(r) - 4*g(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(3\/14)*(n\/(((n**(-5)*n)\/n*n)\/n)*n)\/n**8 assuming n is positive.\nAnswer: n**(-59\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 - 3*v**2 + v. Calculate o(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 9*d + 2 = 0. Let f be (-1 - 1) + 12\/d. Find the third derivative of 13*c**5 + 15*c**2 - 2*c**2 + 0*c**4 + 0*c**f wrt c.\nAnswer: 780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -7753581.\nAnswer: -7753585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 454692144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592463 is divided by 1226?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -139? (a) -4 (b) -1\/2 (c) 162 (d) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 96*n**2 - 635*n + 1068 = 0 for n.\nAnswer: 3, 4, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-18)\/4*(-14)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**4 + 6*k**3 - 6*k. Let o(u) = -35*u**4 + 17*u**3 - 18*u. Let l(a) = -17*g(a) + 6*o(a). What is the second derivative of l(z) wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/((-300)\/490) + -16. Which is the nearest to 2\/7? (a) -1\/2 (b) -0.035 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(88))\/sqrt(8))**2.\nAnswer: -16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:21 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0059137 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22504221 (base 6) to base 13.\nAnswer: -1b3589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 15. Let a be r*(-76)\/(-40)*2. Let p(o) = 8*o - 315. Let f be p(39). Do a and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = -14. Let u be (-5)\/(m + -1 + 0). Sort 1, u, 2.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883067686.\nAnswer: 2, 17, 1511, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*((-4*k + 3*k + 3*k)*(4*k - 2*k + 3*k) + 3*k**2 + 2*k**2 - 2*k**2).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 60*b + 70. Let f be c(-24). Let p = -19153\/14 - f. Calculate the common denominator of p and -7\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16006521*x**3 + 97*x**2 + 16006526*x**3 - 341*x**2.\nAnswer: 5*x**3 - 244*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (776 + -782)*(13\/21 - 1). Let m(q) be the first derivative of -q**2 - l*q - 28 + 2\/21*q**3. Factor m(c).\nAnswer: 2*(c - 8)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15346*f + 15364*f + 3 + 1)*(0 - 1 + 0) as q*f + y and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-10))\/(8\/20). Sort 2\/7, 0.1, x in ascending order.\nAnswer: x, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/630 - z**6\/24 + 6*z**5\/5 + z**2 - 773*z + 2. Find p, given that f(p) = 0.\nAnswer: -24, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.3 - -1.3. Let v = g - -11.9. Which is the closest to v? (a) -3\/2 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*d*x - 167*d wrt x.\nAnswer: -200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -19 + (-19 - -26)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 327270, 654347, 981426, 1308507?\n\"Answer: o**2 + 327074*o + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 0*q - 1\/3*q**3 - 7 + 0*q**2. Let w(r) = -3*r**2. Determine k(w(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -179*b - 143. Calculate the lowest common multiple of m(-1) and 366.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 26. Let d = c - -51\/4. Factor -d*g**2 - 1\/4 + g.\nAnswer: -(g - 1)*(3*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10651*c*g*l**3 - 2*c*g*l**2 - 32*c*g*l - c*l + 12*c - 2*g*l - 2*l wrt l.\nAnswer: 63906*c*g*l - 4*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i**3*l*x**3 + 2*i**3*l + 163*i**3*x - 2*l**2*x - x**3 + 2*x wrt l?\nAnswer: -7*i**3*x**3 + 2*i**3 - 4*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -971 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(2*i + 2*i - 3*i) + (-1 + 4 - 4)*((11 + 9 + 12)*(2*i - i - 2*i) + 5*i + 9 - 9).\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -5. Let q = 1 - j. Calculate the highest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -3.3.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvmtkti. What is prob of sequence mvi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11793*t = -11778*t - 90 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646775*a + 234806*a - 2022355*a.\nAnswer: -2434324*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let h(j) = -23 + 3*j**2 - j + 3*j**2 - 4*j**2 + 21. What is 4*c(f) + h(f)?\nAnswer: 2*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 5*o**2 - 2*o - 12. Let v be s(-5). Let k = -195 - -979\/5. What is the closest to v in 0.5, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452669*f - 452676*f = 5*j + 175, 5*j - 75 = 3*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15092552 divided by -3773138\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 6*u - 5. Let g(x) = -4*x + 6*x**3 - 2686 + 0*x + 2681. Let l be g(-1). Calculate a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 190, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let h(a) = -3681*a - 219 + 1117*a - 91 + 310. Calculate h(b(d)).\nAnswer: -5128*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 4. Let x = -22 + 7. Calculate the lowest common multiple of 9 and w(x).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-30))\/((-172)\/(-1677))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000180136306 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 549 - 572. Which is the nearest to 0.1? (a) -1 (b) z (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 d, and 1 b when three letters picked without replacement from {h: 1, b: 1, d: 1, y: 1, x: 1, i: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1090.6116 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0109010214013575 take away 0.5?\nAnswer: -0.5109010214013575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 = -6*w - 7*w + 92*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883272295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/20*2\/9)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v + 41*v - 274517 = -70597. Which is bigger: v or 2551?\nAnswer: 2551","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5889171 is divided by 490740.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5255.\nAnswer: -1\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + a = -799, 3*a + 817 = 4*c - 255. Calculate the greatest common factor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5a10 (base 11) to base 9\nAnswer: -11721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3)*(6\/39)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2688\/63 - (-4)\/(-6) is divided by -2*1*(-44)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45488, -45489, -45490, -45491?\nAnswer: -45492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1 - 1)*20\/360*-18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-6)*b))**(-14)\/(((b\/b**(-2))\/b)\/b)**23 assuming b is positive.\nAnswer: b**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57404 divided by -14351\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1689 + 0.031\nAnswer: 0.1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/175*(-7)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15580)\/1066)\/(22 + 12117\/(-546))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -67. Let j = 11.00000024 - t. Round j to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 105 - 10 = -30*x. Solve 0 = 33*h - 28*h + 3*d - 25, -x*h = d - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -722406764.9998455 + 722406968. Let q = m - 203. Round q to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k + 2*r, 5 = -r + 2. Let p = 17 - k. Let q = 24 + p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 251205577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 6*g - 3. Let s be d(-5). Suppose s*c - 3*c + 4 = 0, -5*n + 12 = -2*c. Solve 2*p - 18 = n*x, -5*p - 4*x = -10*p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-12 - 156\/(-24))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p - 1. Let a be (-3)\/(-9) - 2\/6. Let l(u) = -u**2 + u - 4. Let b be l(a). Put p, b, -5 in decreasing order.\nAnswer: p, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 30 in descending order.\nAnswer: 30, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 + 17280326*n**3 - 9724735*n - 2.\nAnswer: 12*n**2 + 103681956*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 178 + 913 = 0. Calculate the remainder when m is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-18) + (-25)\/(-6). Let h be (-8)\/n - 2\/(-1). Let a = -883 + 880. Sort a, h, -2 in decreasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 3*p**2 - 2*p - 4. Give s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 131931018.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/42 - (-46)\/(-6). Let o be ((-12)\/q)\/((-3)\/(-52)). Factor -13*z**2 + 4*z**2 - 7*z**2 - 14*z**2 + 4*z + o*z**3.\nAnswer: 2*z*(z - 1)*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -167826, -167836, -167846, -167856?\n\"Answer: -10*d - 167816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2472 - -19741\/8. Which is bigger: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21951 by 21951.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 3*v + 82. Let u = v + 158. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 divided by 10126?\nAnswer: 125\/5063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = r - 5*q + 23, -5*q = -5*r - 35 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**3\/2 + 33*o**2 + 4003*o. Let g be 1 - 3\/((-6)\/40). Let a be r(g). Solve -13 = -4*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -8.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-2)*8*1. Suppose k + z = 60, -206 = -4*k + 2*z + v. Suppose 21 = 2*d - k. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 + 2*h + 3. Let c be o(-1). Let v(y) = 4*y + 5. What is v(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x**2 + 663 - 326 - 337.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24900 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -20334*b. Let y(w) = -19*w. What is y(f(d))?\nAnswer: 386346*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(325) + 1 + sqrt(1872) + 5*sqrt(1872) + sqrt(13)*3 + sqrt(13) + 4 + (sqrt(13) - sqrt(104)\/sqrt(288))).\nAnswer: 5 + 491*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427\/108611 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 701 and 0.1921.\nAnswer: 701.1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -31*a**5\/4 + 2*a**4\/3 + 1705*a**3\/2 - 128*a - 12. What is the second derivative of n(t) wrt t?\nAnswer: -930*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-33)\/6)\/(1\/(-12)). Suppose 0 = -8*v + 6 + u. Suppose -v = -b - 6. Solve b*a + a = -4*d, -2*a = 3*d - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13 - 1) + (-898560)\/(-156)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1224 - 10*g + g**2 - 1161 + 2394. Suppose 4*y + 0*y + 3*h = 18, 2*y = h + 4. Suppose 4*u = -0*q + y*q + 22, 27 = 5*u - 4*q. What is l(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146475, 292977, 439469, 585945, 732399?\nAnswer: 878825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1.3322, -0.4, 0.2, 1?\nAnswer: -1.3322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Suppose -3 = a*n - 228. Let h = -5 + n. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5926, 5868, 5776, 5650, 5490, 5296?\n\"Answer: -17*j**2 - 7*j + 5950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -65*t - 387. Let k be o(-6). Suppose u - 32 = -3*z, 82 = 5*z + u + 30. Suppose -13 + z = -k*j. Let v(b) = b**2 - 3*b + 1. Give v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -17 + -20 + 3 + 7?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 5*q**4\/4 - 19*q**3\/3 + 26. Find the third derivative of y(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 4*r - 3. Let t be o(-5). Suppose -7*g = -8*g + t. Let z(u) = -2*u**2 + u + 2. Calculate z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = -3*b, 5*z + 5 = 5*b - 15. Let x(d) = 4*d**3 + 3 + 4*d + 4 - 4*d**2 - 3*d**3. What is the tens digit of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-112)\/(-24) + 2\/(-3). Let g be 0*1\/(q - 3). Suppose -3*o - 5*u + 85 + 25 = g, 5*o - 250 = 5*u. What is the remainder when o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*w**3 - 32 - 1085*w**3 + 30 + 696*w**3.\nAnswer: 7*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 12 + -3 - (-1 - -12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 - 2\/5*r + 2\/5*r**3 + 16*r**2.\nAnswer: 2*(r - 1)*(r + 1)*(r + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -10*h + 575096 - 67017. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 3*t + 3*t - 5*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 2, -4948 in decreasing order.\nAnswer: 3, 2, -0.2, -4948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 157. Suppose -4*q - 3*s = -695, -4*s + 96 = q - 68. Calculate the greatest common factor of c and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of ((-597)\/6 + 2)\/((-4)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.125558l to millilitres.\nAnswer: 5125.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*s**6 + 34*s**5 - 21*s**2 + s + 842 wrt s.\nAnswer: -32280*s**3 + 2040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3)*q)\/(q\/(q*q**(-1\/5)*q))*(q\/(q\/q**(1\/5)))\/(q\/(q**(4\/5)\/q)))\/((q**1)**(3\/8)\/(q\/q**5*q\/((q*q**(-7))\/q*q))) assuming q is positive.\nAnswer: q**(491\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/5 + 4\/5*x**2 + 4*x = 0. What is x?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/66)\/(25\/(1050\/(-147)))\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21.02416um?\nAnswer: 0.00002102416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {t: 5, w: 1, u: 1, o: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-448)*35)\/((-70)\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 90\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749293 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let t(c) = c**2 + c. Suppose 19 - 7 = -3*z. Let f be 6\/z - (-42)\/12. Suppose -f*d = 3*d + 10. Calculate d*t(p) - 2*h(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*v + 3*v, -2*n = -2*v - 6. Suppose n = -3*f - 0*f + 21. Solve -4*o = -f*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 243034114?\nAnswer: -243034102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6250\/13 + 90\/13*g**2 - 750\/13*g - 2\/13*g**3.\nAnswer: -2*(g - 25)**2*(g + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8251, 0, -0.1.\nAnswer: -0.1, 0, 8251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 + 1)\/3)\/(6 - 7). Suppose 22*x - 35 + 101 = w. Sort 0, x, -7, 33 in ascending order.\nAnswer: -7, x, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegqppeppeqcepgp. What is prob of picking 2 e, 1 c, and 1 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 45 = -57. Suppose 5*i - 2*i - 25 = 5*v, 3*i = -4*v + l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b, 4*b = 5*p + 5*b + 50. Let a(k) be the second derivative of -k**5\/20 + k**4\/3 - 5*k**3\/6 - k**2 - 17*k. Let r be a(3). Is r equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15405235 + -1?\nAnswer: 15405234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v = 40*v + 10. Suppose k - 21 = -2*k. Solve 5*s + 10 + 13 = 3*r, v*s + k = -r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -901 (base 10) in base 9?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -13 - -13) + -29 + 2 + 2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 13*m**2 + 3*m - 3. What is the lowest common multiple of 20 and f(13)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 151 = 39. Calculate the least common multiple of o and (1 - 2)\/(2\/6)*1\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7189*c**3 + 3599*c**3 + 3589*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 1 - 1 - 1 + 0 + (3 - 1 - 1)*(-6 + 2 + 2))*(5*h - 4*h + 0*h)*(-3 - 1 + 5 + 0 - 5 + 17 + (-1 + 3 - 4)*(-1 - 1 + 3)).\nAnswer: -132*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/9018 and 163\/13319586.\nAnswer: 13319586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 200, -14962 in ascending order.\nAnswer: -14962, 0.17, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 33) + (3 - -1) + -15 + 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3930337 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = 9. Let o(w) = -150*w**2 - 9*w + 5. Let g(m) = -1. Let b(l) = 3*g(l) - o(l). Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhxhxh. Give prob of sequence hh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.2. Which is the biggest value? (a) l (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, 1\/4, 2\/7.\nAnswer: -5, -2\/7, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w - 3*y + 13 = 0, -2 = -3*w + 4*y. Find the second derivative of 0*f**2 - 3*f**w + 5*f**2 + 5*f + f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/9, 2, -11 in descending order.\nAnswer: 2, 0, -2\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4901241 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 5 (c) -0.2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:25 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -279*s**2 - s + 328*s**2 + 21 + 2. Let d be r(4). What is the highest common factor of d and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -232536*j*z - 60829*z wrt j?\nAnswer: -232536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8 - -6) + 1)\/(-3). What is the closest to 1 in 0.13, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389 - 356. Suppose -l = 12*d - 9. Let m(k) = k**2 - 2*k + 2. Let t(x) = -3*x + 3. Determine d*t(n) + 3*m(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 + r**4\/8 + 7*r**3\/6 + 3806*r**2. Calculate m(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20282803003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 271161\/20 + -13558. Suppose 5*t = 5*s + 10, 0*t = -5*t - 5*s - 20. Which is the nearest to t? (a) 0.3 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 997150 and 8800?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 4 + 7 + -25.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230610762 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2271872635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**2\/2 - 1. Suppose -u = u - 10. Let k(i) = 3*i + 0 + 0 - u*i. Give x(k(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1759*w**3 - 671*w.\nAnswer: 10554*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*z, 0*z = -2*z - 5*q. Let p(g) = g**3 - 3*g**2 + 2*g - 4. Let c be p(3). Solve -o + z*o = -c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 221*w - 11926148 + 2620059. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -15999.\nAnswer: 2\/15999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -20.7. Let a = -0.7 + d. Let r be (1\/3)\/(95\/(-171)). What is the second smallest value in a, -0.7, r?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s = 78*s - 2. Let k(g) = 285*g**2 - 5*g + 3. What are the prime factors of k(s)?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.20075 - 2.2. Round g to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182995950 to the power of 1\/2, to the nearest integer?\nAnswer: 56418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let y(i) = -i + 0*i + 4 - i. Let q(f) = -2*f + 3. Let m(j) = 4*q(j) - 3*y(j). Give m(n(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 1:45 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -213612\nAnswer: -1922508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328905 is divided by 731.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*s = -2878 - 440 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18*s**2 - 525*s + 431. Determine z(28).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1010003*p + 6. Suppose -7*w + 9 = -5. Let n be c(w). Round n to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -176968, -353911, -530830, -707713, -884548, -1061323?\n\"Answer: 2*f**3 - 176957*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120604348.\nAnswer: 2, 3, 823, 214723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*176\/12 - -1. Let y(m) = 17*m**3 - 4*m. Let d be y(2). Suppose 2*t + 4*h - n = t, -4*t = 3*h - d. Solve -5*r + 0*r + t = 3*i, -i - 4*r + 19 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 447 + -207. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6424 + -6418. Solve 408 = -k*r + 414 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*n**3 + 6*n**2 + 299*n**3 - 105 - 152*n**3 + 100 - 4*n**2 - 32*n to d + x*n**2 + j*n + k*n**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 867708.5 years?\nAnswer: 86770.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 277*t + 2*t**2.\nAnswer: 2*t**2 - 277*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 5, -17, -2, -51, -84?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let r(o) = -7*o**2 - 2*o - 2. Let d(g) = -28*g + 7*g**2 - 30*g + 3 - 33*g - 25*g + 119*g. What is h*r(b) + 2*d(b)?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, 17\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 156, 221, 338, 507, 728, 1001, 1326?\n\"Answer: 26*o**2 - 13*o + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2165 * -0.5.\nAnswer: -0.10825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/430 - (1 + -8 + 15249\/345)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1d?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -219732*u**3 + 2*u**2 - u + 1. Let w be b(1). What is w rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {b: 1, o: 8, e: 1, w: 4, l: 1, m: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32861 (base 10) to base 3.\nAnswer: 1200002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 5, 4 in ascending order.\nAnswer: -13, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 322504532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*c + 91 - 502 - 401 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20200211 - 2001222211?\nAnswer: -1211022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 - (16 - 1 - (439 - 412))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**4\/36 + l**3\/6 + 6*l. Factor d(z).\nAnswer: -z*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 50 - (-3 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6630200 rounded to the nearest one hundred thousand?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57129 - -5?\nAnswer: -57124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 127863570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 81028152 to the power of 1\/2, to the nearest integer?\nAnswer: 9002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/12 - r**2\/2 + r + 3. Let n(m) be the first derivative of q(m). What is the first derivative of n(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(448) + sqrt(448))*1 + (sqrt(448) - 2*sqrt(448)*2 - (3 + -2*sqrt(448))))**2.\nAnswer: -160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 429502219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from nmbgnongogbgm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5\/7 - 29*h**4\/7 + 76*h**3\/7 - 94*h**2\/7 + 8*h - 13\/7.\nAnswer: (h - 1)**4*(4*h - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 7 = -39. Is (-2)\/9 - n\/(288\/28600) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-1\/10)*(d**(-1)*d*d)**(8\/7))\/((d**6\/d)\/d**6*d**(-4\/7)*d\/(d**4\/d)) assuming d is positive.\nAnswer: d**(323\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**4 - 2*m**2. Let u(j) = j**4 + j**3 - j**2 - j. Let q(c) = -3*u(c) + 2*v(c). Factor q(o).\nAnswer: o*(o - 3)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4)*-4)\/(2*sqrt(27)) + 4)**2.\nAnswer: -32*sqrt(5)\/3 + 224\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1\/b))\/b*b)\/(b\/((b\/b**(-19)*b)\/b)) assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3 + 109*h**2 - 37648*h - 307648 = 0.\nAnswer: -253, -8, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*h**3 - 189*h**3 + 428*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**6\/120 - a**4\/8 + 5*a**3\/6 - 43*a**2. Let z(b) = -2*b**3 + 6*b - 9. Calculate 11*i(x) + 6*z(x).\nAnswer: -x**3 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 2*x - 18 = 4*w, 5*x = -2*w + 12. Suppose -3*y = f + 157, 0*f + 3*f = w. Which is greater: y or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -109*h**5\/120 - 65*h**4\/8 + 32*h**3 + 198. Let r(w) be the third derivative of v(w). Differentiate r(s) wrt s.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 60. Let n(i) = 48. Let b(j) = -5*n(j) - 4*p(j). Let z(u) be the second derivative of 17*u**4\/12 + 14*u. What is b(z(y))?\nAnswer: -68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 625, 942, 1259, 1576?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:02 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, n: 3}. Give prob of picking 1 n and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 16 + 83 = 0. Suppose -g*z + 716 = -4289. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:51 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*o + 20, -5*c - 4*o + 16 = -2. Let d be (3\/(-6))\/(c\/4). Let g(l) = -3*l + 2. Let k be g(2). Put k, 5, d in increasing order.\nAnswer: k, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(0 - (-8)\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6704 + 6714. What is the smallest common multiple of j and 771?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s - 223. Calculate h(22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 5. Let m be g(7). Let c(k) = 13*k + 1. Let s be c(1). Let d be s\/(-12)*-2 - 1. Is d less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2525283 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1356*s - 20442. Give n(-15).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -1, -13, 3 in increasing order.\nAnswer: -13, -5, -1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - p - 26 = 0, 0*p = p + 2. Let h(k) = -k**3 + 4*k**2 - 3*k + 1. Let v be h(2). Solve -15 = -v*z + m*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*b - 2*q, -17 = 2*b - b + 5*q. Suppose b*k = -2*k + 60. Solve 0*n - k = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 3*o**8\/7 + 17*o**4\/12 - 14*o. Find the third derivative of n(w) wrt w.\nAnswer: 2880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2208, -4294, -6380, -8466?\n\"Answer: -2086*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 334894001 a multiple of 3451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1159070 and -79\/902000.\nAnswer: 231814000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 8*q + 2. Let y(m) = m**2 - 4*m + 1. Let d(z) = -6*v(z) + 13*y(z). Let i be d(6). Solve 0 = -5*n + i + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*3*2\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173967*n**3*w**2 + 2*n**2 - 2*n*w - 176*w**2 - 64 wrt n.\nAnswer: 1043802*n*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by -10 + (-6)\/5*-30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/2)\/((c*c**43)\/c)*c**(-6\/17)*c**(1\/36) assuming c is positive.\nAnswer: c**(-24373\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -24*k**2 + 4*k - 4. Let f be i(4). Let t = -174 - f. Calculate the highest common divisor of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzwwzbyzzwwz. What is prob of picking 2 z?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -926*1\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - 4537*c + 4539*c + c**2 - 12)*(-c - 4*c + c) to the form k*c + s*c**3 + l + y*c**2 and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 40*c - 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 2. Let r be b(3). Suppose 0 = r*u + 2*s + 5750000, s - 2496670 = -4*u - 7096670. What is u rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2553\/4 (b) -9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = 3*k, -72*k + 4*r - 12 = -77*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a meter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -492542, -984602, -1476662, -1968722, -2460782?\n\"Answer: -492060*x - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 2*n**3 + 2*n**3 + (2*n**3 + 0*n**3 + 0*n**3)*(4*n - 5*n - n) + (-n - 2 + 5*n + 6*n)*(25*n**3 + 28*n**3 - 14*n**3) + n**4 - 2*n**4 + 2*n**4.\nAnswer: 389*n**4 - 78*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46013, 47289, 48567, 49847?\nAnswer: 51129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*c = 4*k - 25, k + 2*c = -8. Suppose 0 = -k*z + 196 + 186. List the prime factors of z.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1135.6 * -0.066.\nAnswer: -74.9496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.43 + 192.43. Let m = -192.0000222 + b. Round m to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/21 and 157\/3498?\nAnswer: 24486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -581 + 614. Let a be ((-416)\/(-24))\/(44\/s). Determine y so that -5\/2*y**5 + a*y**2 - 4 - 9*y**4 + 6*y - 7\/2*y**3 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:48 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 5. Let x(k) = -148*k + 56. Let a be x(-3). Let v = 504 - a. Let w(t) = -4*t + 4. Calculate v*b(o) - 5*w(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 8 = -4*z - 4*k, -3*z = -k - 10. Let b(x) = x - 2. Let a be b(4). Let j(f) = -2*f**a + z - 3. Let l(y) = -y**2. What is l(j(v))?\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/34235 and -71\/27552.\nAnswer: 23005920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*i + 215232 - 215177 = 0, c - 2*i - 7 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15264370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.6 + 20. Let d = 88.1 + x. Let y = 88.469 - d. What is y rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527435 divided by 305487?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 0*j**2 + 5*j**2)*(-2790 + 2790 + 403*j**3) + (-4*j**3 + 0*j**3 + 2*j**3)*(4*j**2 - 3*j**2 + 0*j**2).\nAnswer: 401*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17164 + -17160. What is i in v*i**2 + 5\/2*i**3 + 2*i + 1\/2*i**4 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 970253\/1206 - -2223\/134. Let k(a) = a**3 + a**2 - 822. Let z be k(0). Let w = c + z. Find the common denominator of w and -43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 48, -3\/4, 1\/4, 2.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1640\/7 + -234. Let u = 84 - 116. Which is the smallest value? (a) u (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*s = -0*s - 35, -3*z = 3*s + 3. Suppose -1728 = -4*c - z*c. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:58 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Let d = 2 - 4. Let r = n + d. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-6))\/((-4)\/(-152)). Suppose -28 = -a - r. Round a to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7293147 days?\nAnswer: 1050.213168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 19.01.\nAnswer: -28.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -9. Is 2 + -1 - (b + 6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -11 + 5 - -6. Let f be (-4)\/(-14)*(-4)\/(-40). Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, -2\/19, 12, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 4.34 (c) -7\/2 (d) -7 (e) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84230 is divided by 317.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -0.04. Let l = 0.060006 - p. What is l rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 + 161. Suppose 5*h - 3*r = 103, -5*h + h + 2*r + 82 = 0. Calculate the greatest common divisor of h and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 6, k: 3, e: 3}. Give prob of picking 1 e, 2 n, and 1 k.\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30594784.244 and -3.3?\nAnswer: 30594780.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12404 and 7798.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 41 = 2*q, 3*q + 0 = -5*o + 1. Let x be q*3\/(-6) - -1. What is the second derivative of 14*s**5 - 279*s - x*s**5 + 286*s wrt s?\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 8) to base 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:50 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 41*w**3 + 8*w**2 - 27*w - 4. Let n(s) = -86*s**3 - 15*s**2 + 60*s + 7. Let f(v) = 7*j(v) + 3*n(v). Find the second derivative of f(p) wrt p.\nAnswer: 174*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - -4. Let x = l - 56.89. Round x to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6)\/(-9) - 4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - z - 45, 4*d - z - 93 = 0. What is the least common multiple of d and 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -275 - -283. Let f*d**2 + 44*d - 20 + d**2 - 28 - 5*d**2 = 0. What is d?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*b**2 + 3*b**2 - 4*b**2)*(b + 0*b - 2*b) + 3 + b**3 - 3)*(4*b - 9*b - b)*(-b - b + 0*b).\nAnswer: 84*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2137577376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 251*c - 2464. Give t(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -46 and -43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*w - 1\/4*w**3 + 1\/4 + 3\/4*w**2.\nAnswer: -(w - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxexejxketmtee. Give prob of picking 1 t and 2 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761\/(-251) + (1\/(30\/267) - -2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 - 26*h**2 + 15*h + 6. Let u(f) = f**2 - 1. Let s(c) = k(c) + 6*u(c). Factor s(m).\nAnswer: 5*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - (7 - (15 + -7) - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18255*n**4 + 58507*n**2 + 1 - 58507*n**2 - 1)*(-n - 3*n - n).\nAnswer: 91275*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 323*f - 161*f - 135*f in the form q + l*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u. Let f be (-4 - -5)*-2 - 4*-1. Let p(w) = -229*w + 229*w + 3*w**f. Calculate q(p(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -73. Let t = -29.5 - -24. Let m = h - t. What is the third smallest value in -4\/7, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203583\/5154 - 117\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Find the third derivative of 4*g**6 - 7*g**5 - 3*g**2 + 7*g**t + 0*g**2 wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 96. Solve -2*i - 30 = 5*t, 4*i + a*t - 5 = -45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 2, g: 11, b: 1}. What is prob of picking 3 g and 1 d?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5307 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153385 - 460157\/3. Let k = -14\/5 - -313\/110. What is the third biggest value in -0.4, z, k, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 plus 0.21?\nAnswer: -43.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28974131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/48050?\nAnswer: 1\/48050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3201502, -6403000, -9604498, -12805996, -16007494, -19208992?\nAnswer: -22410490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -200102200110 (base 3) to base 9\nAnswer: -612613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1843 and 15.\nAnswer: 27645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/3 + 61*t**2\/3 - 173*t + 153 = 0 for t.\nAnswer: 1, 9, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0)*6318\/(-52). Suppose 8*i + i = z. Which is the second biggest value? (a) i (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/20 + (1 - 0). Let d(z) = z**3 + 16*z**2 - z - 13. Let o be d(-16). Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s + 100. Let c be d(-10). Let n(r) be the first derivative of 1\/3*r**2 - 1\/9*r**3 - 1 + c*r - 1\/12*r**4. Factor n(v).\nAnswer: -v*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*f - 14 = -f, -33 = -3*s - 3*f. Is s\/(-9) + 9406\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160947.\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 226524*z + 4276093548 = 0 for z.\nAnswer: 37754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, k: 4}. What is prob of sequence xkkk?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 + -0.08. What is the second smallest value in 0.5, 2\/9, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**4 - 1100*r**3 + 5585*r**2 - 8980*r + 4500 = 0.\nAnswer: -225, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 t when four letters picked without replacement from {t: 3, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - 6. Let i(j) = -13*j**3 + 16*j**3 - 3*j**2 + 28 - 11. What is -17*h(a) - 6*i(a)?\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 768308 and 1594?\nAnswer: 768308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63819.49 milligrams?\nAnswer: 63.81949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43932*x**3 - 16528*x**3 - 117093*x**3.\nAnswer: -177553*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**3 + 9*l**2 - 66. List the prime factors of n(9).\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)\/y)**(-33)\/((((y**(-1)*y*y)\/y)\/y)\/y)**(2\/77)*y**(-4\/9)*y**(-4)*(y*y\/(y*y**(-3)))\/y*y\/y**(-6) assuming y is positive.\nAnswer: y**(26755\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 12*o + 5. Let y be r(-12). Suppose 0 = -5*f + 5 + y. Sort f, -5, -1 in decreasing order.\nAnswer: f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + ((0\/(-2))\/4)\/(-2). Let s(o) = -7*o + 13. Does 4 divide s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.59 - -1.59. Let k = -15 - -9. Let u be 6\/9 - (-16)\/k. What is the second biggest value in m, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9299 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 34*s + 844. List the prime factors of t(16).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5296474 and -26.\nAnswer: 137708324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 2288*o**4\/3 + 1608*o**2 + 381*o. Differentiate j(b) wrt b.\nAnswer: 18304*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (2 + sqrt(243))) + -5 + 2 + (sqrt(243) - (sqrt(243) + -2*sqrt(243))) + 0)**2*2.\nAnswer: -360*sqrt(3) + 1994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28346 and 0.1.\nAnswer: -2834.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(-7*s**2 + 5*s**2 - 6*s**2) - 4 + 4 + 2*s**2)*(2 - 1 - 2 + (4 - 6 + 3)*(2 + 4 + 3))*(2 - 5 + 2).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 33, 2, -2, 5, -170 in decreasing order.\nAnswer: 33, 5, 4, 2, -2, -5, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1657097?\nAnswer: 13, 41, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n + 784 = -44*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*h + 46*h - 14 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 12*j + 4. What is h(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2238 divide 18718632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a + 7. Let m be j(-6). Let x = -39 - m. Suppose 5*d + 5 = 0, -3*r - x*r + 3*d = -203. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.8 + 13.8. What is the second biggest value in -0.3, -2, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/7 - 638*s**2\/7 + 6491*s\/7 + 7128\/7 = 0 for s.\nAnswer: -648, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:58 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3355 by 4.\nAnswer: -3355\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -624, -1252, -1882, -2514, -3148, -3784?\n\"Answer: -y**2 - 625*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = -14*g - 200 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -150, -181, -226, -291, -382?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*w - m = 173*w + 42, -14 = -239*w - 5*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8*o - 24. Let k(z) = -z**2 - 12*z - 24. What is the smallest common multiple of k(o) and (21 + -3)*(1 - 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**4*q - 15*b**3*q**2 + 162*b + 3*q**2 - 5*q + 991 wrt b?\nAnswer: 4*b**3*q - 45*b**2*q**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0\/(-3))\/2)\/2 + -4. Let x be (3 + (-22)\/6)*12. Let f be (-40)\/x*2\/(-5). Sort f, 2, l in descending order.\nAnswer: 2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980541175?\nAnswer: 3, 5, 107, 137, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 59. Let l be r(-14). What is the greatest common divisor of l and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -d + 3*d - 22, d = 5*c + 43. Let l(g) = -g**2 - 7*g + 10. Let y be l(c). Let v(m) = m + 12. Let x be v(0). Solve -j + x = y*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4367, 7503, 10639, 13775?\n\"Answer: 3136*s + 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 5:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/85 - 26\/17. Suppose 0 = 9*c - 16*c. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 73*r + 174. Give a(0).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/((-10)\/15*3*-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12129303 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-220)\/935)\/(10\/(-85)). Let -1\/8*d**s - 1\/2 - 1\/2*d = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-7\/2)*k)\/(k*k\/(k**(2\/3)*k))*(k*k\/(k*((k**5*k)\/k)\/k))**(-41) assuming k is positive.\nAnswer: k**(769\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 760*g**5 + 3*g**4 + 2931*g**2 wrt g?\nAnswer: 45600*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -532303 (base 14) to base 16\nAnswer: -2ae24f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = 6. Let z(y) = -n*y - 2*y**2 - 2*y**2 + 5*y**2 + 4. List the prime factors of z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -16. Let s = 5 + w. Solve f - 2*f = s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 126 = 6*n. Let y be (n + 0)\/((-2)\/2 - 1). Suppose -5*f = -y*f + 112. Calculate the remainder when f is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m**(1\/2)*m*(m\/(m*m*m*m**(2\/5))*m)**(3\/34))\/(m**(2\/17)*m**1*(m\/m**(-1))**25) assuming m is positive.\nAnswer: m**(-12514\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 275638416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 472479348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(-l - 2*l + 12*l).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 + 33.508664.\nAnswer: 34.308664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -639*g + 636*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2203537 or 2203538?\nAnswer: 2203537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301138?\nAnswer: 2, 619, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4567.202t to kilograms.\nAnswer: 4567202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k)*(32*k - 35*k - 15 + 1)*(0*k - k - 2*k).\nAnswer: 9*k**3 + 42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -78. Suppose 0 = 2*a - 2*b - 254, 503 = d*a + 2*b + 1. Suppose 5*c = a - 51. What is the greatest common divisor of 105 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 779, 1874, 3569, 5960, 9143?\nAnswer: 13214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s - 2. Let n(i) = i**2 - i + 1. Let v(b) = -g(b) + n(b). List the prime factors of v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 144\/12)\/((-12)\/(-9)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128780 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 - 0.7. Let u(n) = -n**2 + 2*n + 9. Let w be u(4). Let p = 494\/15 - 100\/3. Put w, s, p in ascending order.\nAnswer: s, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24081?\nAnswer: 3, 23, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/(6\/12). Find the second derivative of 10*f**3 - 353 + z*f + 353 wrt f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + 4*f + 6. Suppose -30 = -0*a - 5*a. Suppose -a*v - 30 = -v. Let h(b) = 4*b**3 + 3*b + 5. Calculate v*h(w) + 5*z(w).\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z + 6. Let s be (-200)\/32 + 2\/8. Let m be p(s). Let u = m - 5. What is the smallest common multiple of u and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2103 or -2104?\nAnswer: -2104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038 divided by -7?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6146, -6148, -6150?\n\"Answer: -2*s - 6144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 39. Determine u(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 3*b**2 - b**2)*(4*b + 0*b - 3*b) + (-4*b - 14*b + 7*b)*(-b**2 + 2*b**2 - 2*b**2).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 24. Suppose -f = -s*f - 3*p - 12, -p - 2 = f. What are the prime factors of -1*1*(-29 - f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52023 + -260434906?\nAnswer: -260382883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - 6.1. Let c = -18.7 + r. What is c rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71010293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*g - 40. Suppose -x = x + 2. Let r(o) = -5*o**3 + 2*o + 1. Let j be r(x). Solve 2*c = -c - j*k - g, k = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-5 + -23)\/(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g + 97. What is the highest common divisor of g and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/65, 434, 13?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) + -24 + (-6802)\/(-285). Let o(y) be the second derivative of 0*y**2 + 1\/30*y**5 + 0*y**3 + r*y**6 + 14*y + 0 + 0*y**4. Factor o(f).\nAnswer: f**3*(3*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 59*h**2 - 36*h + 362. What is the hundreds digit of y(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3349 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141051 (base 6) to base 16.\nAnswer: -3397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*m**2 - 7*m**3 - 33*m**4 + 43*m**6 + 110*m**6 + 38 + 12 - 151*m**6 wrt m?\nAnswer: 240*m**3 - 792*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 4*y + 4, -j + 5*y = 7*y + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/5 (b) 14.7 (c) -0.51 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.44176427406 + -3\nAnswer: -1.55823572594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2. Let s be 20\/25*20\/8. Let i(z) = -2*z**s - 147 - 9*z**2 + 147. Determine 5*i(t) + 8*o(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, -3, 2\/7 in descending order.\nAnswer: 265, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**4 + 2*n**3 + 6376*n**2 + 319*n + 281 wrt n.\nAnswer: 84*n**2 + 12*n + 12752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let k = -7 + 6. Which is the closest to k? (a) 2\/11 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = p + 1044. Suppose p = -9*j + 36. Solve j = -4*y + 8, -4*a + 4 = -2*y - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s. Let q(t) = 7*t**2 - t + 5. Suppose 5*d - 56 = 3*d - 2*k, -4*d + 108 = 3*k. Suppose 6*r = 2*r - d. Let u(b) = r*y(b) + q(b). Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62\/6 + (-2)\/(-3). Let m(h) = 2*h + 73. What is the remainder when ((110\/(-8))\/u)\/(1\/(-140)) is divided by m(-31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 409 - 425 - 162 - 2*m.\nAnswer: -10*m - 996","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {w: 3, t: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x**3 + 118163*x**2\/3 - 793958*x - 83720\/3 = 0.\nAnswer: -2093, -2\/57, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2564, -2444, -2354, -2294, -2264, -2264?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - 2*z**4 - 5*z**3 + ((5 - 5 + 6)*(-3 + 0 + 1) - 1 + 4 - 1)*(z**4 - 3*z**4 + 0*z**4) in the form u + v*z**3 + d*z**4 + f*z**2 + i*z and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 36 = 0. Let y be 2 - ((-646)\/153 - (-2)\/j). What is the derivative of -y - 2*m**3 + 8 + 3 + 9 wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17248 times 0.5\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + a - a + (2 - 4 + 1)*(3*a - 2*a - 3*a) - a - 5*a + 3*a)*(0 + 5 - 3)*(-a - 1 - a + 5) to g + z*a + i*a**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/502 at most as big as -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + -154?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:12 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)\/(s**(-6)\/s))\/(s*s**(2\/5)\/s*s*s**0) assuming s is positive.\nAnswer: s**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 s when three letters picked without replacement from {s: 7, x: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(182))\/sqrt(7))\/(sqrt(10)\/(sqrt(45) + sqrt(5))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**5\/4 + 135*o**4\/4 + 1375*o**3\/2 = 0.\nAnswer: -110, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 710 = 2*f - 7*f, -3*t - f + 422 = 0. Let w be t\/(-165) - 4\/(-10). Let a = 29\/33 - w. Which is bigger: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2329? (a) -584 (b) -0.1 (c) 2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.2 + 10.9. Let j = -11 - -13. Which is the nearest to -1\/3? (a) m (b) 1\/16 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1482702049 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-4) + 3)\/(7747\/8540 - (-12)\/(-14))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 6964, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:38 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*r**2 + 9 + 175*r**2 + 4*r - 9 to the form z + x*r + n*r**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -51*h + 156. Let n be m(3). What is the nearest to 6 in -33, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4967.367 + 4970. Let t = 2.6 - r. Let y = -1.017 + t. What is y rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*k**5 - 33*k**5 - 46*k**5)*(1 + 1 - 3)*(-2 - 1 + 2).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -k + 445, -r + 2*k - 6*k + 130 = 0. Let y(t) = t**3 - 5*t**2 + 2*t. Let j be y(5). Calculate the greatest common factor of j and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (8 - 0 - 3) - (-2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*x + 176*x - 57*x**3.\nAnswer: -57*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -235513 (base 7) to base 3\nAnswer: -2011200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 1355 - 1295 = 0. Let q(r) = 174*r**2 - 173*r**2 - 10*r + o*r. Let y(m) = -28*m**2. Determine y(q(u)).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 180 + r**3 - 180.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9)\/(8\/((-720)\/(-537)) - 6).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46289 is divided by 23143.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99167.7 millennia in centuries?\nAnswer: 991677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217 + -228. Let b(w) = -w**3 - 11*w**2 - 5*w - 25. What is the least common multiple of 66 and b(v)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h + 31*h + 381 - 183 - 178. Let w(v) = 3*v. What is w(m(g))?\nAnswer: 69*g + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132997 divided by 3?\nAnswer: 710999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/6)*f*f*f*f**(-6)\/f*f)\/((f*(f*f\/(f*f\/(f**(-2\/5)*f)*f))\/f)\/f)**33 assuming f is positive.\nAnswer: f**(1301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 1 + -7 + -16 + -4 + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/4 - 893*w**4\/2 - 517499*w**3\/2 - 48802857*w**2 + 393534999*w\/4 - 98643393\/2 = 0. Calculate w.\nAnswer: -786, -501, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -163864*b**2. Let d(z) = 18*z**2. Determine g(d(u)).\nAnswer: -53091936*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252401*p**4 - 13*p**3 + 33*p**2 - p - 44931?\nAnswer: -6057624*p - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*1923\/(-5128).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, l: 1, x: 5, b: 1}. What is prob of sequence xl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(1 + 2 - 2)*(0*q - 2*q - 3*q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866, -6916, -23356, -55388, -108214, -187036?\nAnswer: -297056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 4*s**2 - 4*s - 3. Calculate q(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from akmmmaurmlmlr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, -46, -352, -946, -1924, -3382, -5416, -8122?\nAnswer: -11596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506714, 1013425, 1520136?\nAnswer: 2026847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooonoonoonouoooounno. What is prob of sequence unu?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n**(-1\/11)\/n)*n**(-5\/2)*n\/((n\/(n**9*n))\/n)*n**(-1\/5) assuming n is positive.\nAnswer: n**(1253\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -8 + 4)\/1. Let b = i - -10. Suppose 310 = 4*x + b*n, -4*n = 11 - 3. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481343791 to the power of 1\/3, to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5. Let q be f(0). Let b(k) = 1 - 4*k**3 - 5*k + 5*k**3 - 1 + 6*k**2. Let g be b(q). Calculate the greatest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19930000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/88 (b) 0 (c) 5 (d) 0.4 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1002.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2644908558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 990862261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -501 times 4290.5\nAnswer: -2149540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48212 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + sqrt(320)*-1)*3 + sqrt(320))*-1)\/((sqrt(120) - (sqrt(120) + 3*sqrt(120)*1))\/sqrt(12)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20861.437 rounded to the nearest one hundred?\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s - 4. Let x be l(-3). Suppose x*w + w + 2*h - 2 = 0, 4*h = -4*w. What is the second derivative of 2*n**w - 3*n**2 + 3*n**2 + 3*n wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + (1*sqrt(243)*-6 + sqrt(243) + 6*(sqrt(243)*2 - sqrt(243)))*-2)**2.\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22\/5)*i**(12\/7))\/(i*i**(-17\/2)*i*i\/(i**18\/i)) assuming i is positive.\nAnswer: i**(1387\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.41 in 0, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)*g**2\/g)**(-8\/9) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4 - 2*u**2 + 0*u**4 - u**4 wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6))**19\/((s\/s**(-15)*s)\/(s**6\/s)) assuming s is positive.\nAnswer: s**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 - 56*t + 60 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 16290?\nAnswer: 32580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 16, 3, -2 in decreasing order.\nAnswer: 16, 9, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 42*c**2 - 3*c - 2. Let f be x(-2). Suppose f = 36*d - 34*d. What is the remainder when d is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33510, -133998, -301480, -535956, -837426, -1205890?\nAnswer: -1641348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*-11*2\/902?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Suppose v = 4*q - q - 12. Suppose i - 4*x = -4*i + 14, q*x = -4. Solve i*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*(sqrt(459)*2 + sqrt(459)*5))\/((sqrt(2904)*-2 + sqrt(2904))\/(sqrt(32)\/sqrt(36))))**2.\nAnswer: 8102\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1805 and -20\/3923709.\nAnswer: 19618545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/55481 or 0?\nAnswer: -1\/55481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5368 - 5245. What is the remainder when 1099 is divided by d?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 811111 and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4 - (-11)\/3). Let z(g) = 2*g - 4. Let d(u) = 4*u - 7. Calculate f*d(x) - 5*z(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-2))\/(10\/15). Suppose 2*p = v*s + 11, 2*s + s = -4*p + 49. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from fmxffmfffxmpfffm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 7197218\/9 + 2\/9*c**2 + 7588\/9*c = 0.\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5132*b - 5138*b - 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23020478 is divided by 219?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.934491mm?\nAnswer: 6934.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7871*l - 57943 + 551672 - 147355 + 550920 = 0 for l.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-23)\/(-6) - (-16 - 580\/(-40)))*42. What is the greatest common factor of 57344 and n?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549 - 135 + 118 + 2*d**2 + 107.\nAnswer: 2*d**2 + 639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2 + 3. Let n(y) = -3*y**2 + 1. Calculate -2*i(h) + 5*n(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15471, 15469, 15467, 15465?\nAnswer: 15463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499964 divided by 249982.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 2*z - 3*z. Let o(l) = 5*l + 262 - 132 - 130. Give 8*h(x) + 5*o(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a3 (base 15) in base 8?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from rroyf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 338 = -4*c - 3*f, 5*c + 2*f = 308. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2033 - 0?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*x = -21. Suppose 8 = 2*n + 2*w - 14, 0 = x*n - 3*w - 51. What is the greatest common divisor of n and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910366 is divided by 231?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 33. Suppose -b*w + 469 = -581. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5927613*r**5 - 2*r**2 - 11993137*r.\nAnswer: 118552260*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-14) - 0)*-14. Let a(s) = -29*s**2 + 6*s + 63*s**2 - 35*s**2 + 0 - v. What is a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - 4 - (4535 - 4517)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(456\/(-12))*-32\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4634, -9269, -13916, -18575, -23246, -27929?\nAnswer: -32624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1016797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -768555 * 1.6.\nAnswer: -1229688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.1, -21\/8 in decreasing order.\nAnswer: 2, 0.1, -0.1, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 373 = 5*x. Let j = -81 + x. What is the smallest common multiple of 22 and j + -13 - (-33 - 1) - -2?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 8. Is 9 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**21)**19 assuming q is positive.\nAnswer: q**(-399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Determine l, given that -3*l**2\/5 + 2823906*l - 3322685457015 = 0.\nAnswer: 2353255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40443 is divided by 487?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 + 662. Let i = u + -491. Let r(a) = a**2 + 7*a + 4. Calculate r(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -581.995421 rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.24, 0.03, 3\/13?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 25*p**3\/2 - 213*p**2\/2 - 52*p. Find the first derivative of g(u) wrt u.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 35. Factor 7 + 45*y**3 - 25*y**2 - 12*y - 33*y - 17 + q*y**4.\nAnswer: 5*(y - 1)*(y + 1)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3134724 and 3134731 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 184?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 51 - 3218 = -k, 6 = -3*l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9799 is divided by 674.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3573, -3586, -3597, -3606, -3613, -3618?\nAnswer: -3621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110 + (-3 + 3)\/(0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/95593 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*3\/24*-10. Let l(o) = -o**3 - 3*o**2 + 4. Let f be l(c). Let n = -63 - -99. What is the highest common factor of f and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/85 in 0, 1.1, 2\/23, -3, 6?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 11025?\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from smsmmwwfmmcsmmwcs.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/340*51 - (-26)\/(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 35*m - 19*m = -5400. Calculate the highest common divisor of m and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 10. Let v be f(7). Suppose -2*x - 3*i + 64 = -i, -v*x + 104 = -i. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3521 (base 9) to base 8\nAnswer: -5063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -443*v**3 + 2*v**2 - 6*v + 5. Let l be d(1). Let c = -436 - l. What is the lowest common multiple of 4 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 9*g - 10. Let q be t(-6). Let y(i) = q*i - 6*i - 5*i. Let b(r) be the second derivative of r**4\/4 + r. What is b(y(w))?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**3 - 13*j**2 + 13*j + 35. Let i(w) = 2*w**3 - 6 - 2 + 3*w**2 - 3*w + 4 - 5. Let y(h) = 6*f(h) + 26*i(h). What is the derivative of y(g) wrt g?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/38)\/((-190)\/10830).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -602*h*v**3 + 3*h*v - 21*v**3 + 43 wrt h?\nAnswer: -602*v**3 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6997698\/11 or -636155?\nAnswer: -636155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Suppose -16 = 3*p - 4*d, -5*p - d + 5*d - 24 = 0. Let m = -4 - p. Solve m = g + j*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 92*h**2 - 3*h + 17. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - b**5 - 4 + b**4 + 2*b**4 + 3 + 2*b**5 - 3 + (2*b**4 - 2*b**4 - b**4)*(-4 - 2*b + 4) + 2*b**5 - b**5 - 3*b**5 - 2*b**5 + 0*b**5 + 4*b**5.\nAnswer: 3*b**5 + 3*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (2919\/105 - (2 - -9))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545551069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/35)\/((68\/(-40))\/(-17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 12*b**2 + 4*b + 8. Let i be y(-9). Let t = i - -3642. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 5*m + 2*m**5 + (2*m**2 + 0*m**2 + 0*m**2)*(-9*m**2 + 16*m**3 + 9*m**2).\nAnswer: 34*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -289*z**4 - 131*z**4 + 35*z**4 + (z**3 + z**3 + 0*z**3)*(-3*z + 2*z - z) + (4*z**4 - 9*z**2 + 9*z**2)*(-5 + 2 + 0).\nAnswer: -401*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24258 + -14119. What is the thousands digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 22 = -y, 1276*y - 1277*y + 34 = -5*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -313 - -197. Let i = o - -116. Which is the fourth smallest value? (a) i (b) 2\/9 (c) 2\/13 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 2, 1 in increasing order.\nAnswer: -4, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(10)\/sqrt(5) + 5)**2 + 4.\nAnswer: 2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -20. Let n(k) = -k**2 - 3*k. Let x be n(i). Let w(h) = -h**2 - 2*h + 4. Let f be w(x). Solve v + 2*g - 4*g = 9, -v + f*g + 19 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 142, 191, 240, 289, 338?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1 - 3)\/(-1). What is the derivative of 5*f - w*f + 1 + f**2 + 5 wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90994965*n**3*w**2 - 2*n**3*w + 1457*n**3 + 49*n**2*w - n**2 - 43*n*w - 4*w**2 + w wrt w.\nAnswer: -181989930*n**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, y: 1, s: 3, p: 1}. What is prob of picking 1 j and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/13 - 752690*l\/13 - 376344\/13.\nAnswer: -2*(l + 188172)*(2*l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a**(-3\/4)\/a*a\/(a*a\/(a\/a**(-2))*a)*a\/(a\/a**4))\/((a*a*a**(-8)*a*a**(-2\/15))\/(a**(-2)\/a*a**1)) assuming a is positive.\nAnswer: a**(683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let c be 188\/24 + (-20)\/24. Determine m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-7854)\/220)\/(-17)*16\/14)\/((-124)\/(-10))\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6979289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 52 = -4*v, 2*v = -v - 2*l + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 9, o: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 8 - 304. Suppose 4*w - 2*j = 124, 3*w - 3*j = 41 + n. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = m + 226, -4*m = -5*c + m - 250. Let d be 96\/c + 2 + (-1170)\/(-230). What is the closest to 2\/5 in -18, d, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90734.13246 to the nearest integer.\nAnswer: -90734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14423 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4515360 (base 7) in base 2?\nAnswer: -10001000011101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-899)\/186 + -1)*3\/4\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -138*r**2 - 3*r - 3. Let x be o(-1). Let h = x + 142. Is h greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 951*s**2 + 75*s**3 - 46*s + 150*s - 54*s - 50*s wrt s?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (45\/(-20) + 2)*(-4 + 0). Let v be r\/(-4)*24\/15. Is 5 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18319416 or -18319412?\nAnswer: -18319412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.6 (b) -39.1 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/(-11 + (-6)\/((-648)\/1191))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/((-1)\/34). What is the highest common divisor of 85 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - a + 11 = 0, 4*b - 5*a = -0*a. Let m = b + 11. Suppose -m = 3*l - 30. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -3 (b) 2457 (c) 0.1 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s + 2. Let k be t(-3). Suppose -38*w + 180 = 7*w. Suppose -9*b + w = -k*b. Solve -i = i - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 + 857395*q**3 + 36754165720*q**2 - 183792264100*q = 0. What is q?\nAnswer: -85742, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111161, 111160, 111159, 111158, 111157?\nAnswer: 111156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 0*u**3 + 1 + 0 + u**3. Let i = -9 - -6. Let h be 4\/8*6\/i. Determine w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 13. Calculate the remainder when (-18)\/(-27) + 254\/6 is divided by (66\/(-9))\/((-3)\/c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - a - 2 = -4*w, -5*a - 10 = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4\/9, -3\/5, -1\/2.\nAnswer: -4, -3\/5, -1\/2, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(60)\/(sqrt(12)*-2) + (5 + (sqrt(45) + 2 + sqrt(45))**2 - sqrt(45)) + -5.\nAnswer: 41*sqrt(5)\/2 + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 10*g**2 + 12*g - 13. Let n be r(4). Calculate the highest common divisor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149.51 + 147.8663. Round l to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4\/3 (b) 1 (c) -0.49 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 7*o**2 + o - 7. Give j(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74178594 and 57694462.\nAnswer: 519250158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/45675 and -79\/4350.\nAnswer: 91350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**3 - 145*q**2 + 1782*q*v**2 - 120*v**2 + 2*v - 55 wrt q?\nAnswer: 3*q**2 - 290*q + 1782*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*m - 390. Let l = -59 + m. Differentiate 5 - 32*q**2 + 5 - l with respect to q.\nAnswer: -64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/7, -5\/3 in increasing order.\nAnswer: -5\/3, -0.5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 173951\nAnswer: 173954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.0819 + -12.2511. What is p rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {d: 1, h: 1, t: 1, o: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 609 - 1230?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9757309781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -375, -1268, -3007, -5874?\n\"Answer: -47*i**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -65, -102, -155, -230?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(21 + 14 - 10)*(93*v - 65*v - 54*v).\nAnswer: -1300*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23431141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 296\/(-16))\/(6\/8). Let p be l\/20 - (-14)\/(-4). Let m be (2 - (-1086)\/(-528)) + p\/(-11). Put 2, -0.04, 0.2, m in descending order.\nAnswer: 2, 0.2, m, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 20 = -2*s - 2*s, 4*g = 3*s - 29. Put g, 5, 1\/11 in descending order.\nAnswer: 5, 1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25951 in -4, 0.1, 6, 21, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 2896*a**2 + 506368*a + 6500352.\nAnswer: 4*(a - 368)**2*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 3*m + 4. Let t(g) = 90 + 86 + 86 - 261. What is o(a) - 4*t(a)?\nAnswer: -a**3 + 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(7\/8)))**49 assuming y is positive.\nAnswer: y**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/560 and -113\/560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102)*-1*6)\/sqrt(6).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 28, 71, 140, 235, 356, 503?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3551346 and 460.\nAnswer: 816809580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:27 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:33 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16*30)\/(-7*12\/112)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o + 47*o + 44 = 0. Suppose -f + 222 = -4*f. Let y = -42 - f. Calculate the greatest common divisor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 281*q + 4648. What is the hundreds digit of v(103)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 2\/7 (c) 7 (d) 509 (e) -27 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 13. Let r = n - 10.3. Which is the smallest value? (a) 0.1 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from shsshsh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 55*(0 + -5). What is the greatest common divisor of p and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 61106.\nAnswer: -5\/61106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 2*b**2 + 13*b + 1. Give q(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -4. Factor -16 - 3*g**2 + w*g - 10 - 1.\nAnswer: -3*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2 - -28.6.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 3. Let l be g(2). What is the derivative of l*m - 1 - 2 - 5*m - 4 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2267 (base 10) to base 5.\nAnswer: -33032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -11, -21, -35, -53, -75?\n\"Answer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-1)\/(15\/(-408)))\/((-14)\/(-175)) and 255?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(560)*-1 - sqrt(560)))\/sqrt(10)*1)\/(4*1*(2*sqrt(512) + sqrt(512) - sqrt(512))).\nAnswer: 5*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 - 6*o + 73. Determine f(7).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015563 is divided by 583?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*m = 301*m - 13040 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4254337 is divided by 1012?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22540 and 1840?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, j: 3, i: 1, h: 2, b: 3}. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 68. Let w = x - 24. Calculate the remainder when (0 + (-14)\/(-6))*w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/8)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*k = -k - 368, 3*k - 670 = -5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -0.4, 1 in ascending order.\nAnswer: -0.4, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155629?\nAnswer: 1155629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -50, -2\/907, -2\/7, 4.\nAnswer: -50, -2\/7, -2\/907, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**3*w + 4147*q**3 + q**2*w - 450*q**2 - 3*q*w - 5*q - 206628*w + 1 wrt q?\nAnswer: -36*q*w + 24882*q + 2*w - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 - (1 - (-16 + 5 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(396)\/((1*sqrt(108))\/sqrt(9))*3)\/(-2*sqrt(108)*3 - (3*(sqrt(24)\/sqrt(4) - sqrt(6)))\/sqrt(2)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 472 - 476 - 3*z + z. Let h(n) = 2*n + 5. Let l be 8\/3 + (-1)\/(-3). Let q = -2 - l. Determine q*s(f) - 4*h(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhihih.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 7*w\/2 - 3\/2.\nAnswer: -(w + 1)*(4*w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7261*f + 13682*f - 7410*f. Let y(b) = -b. Calculate a(y(i)).\nAnswer: 989*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302304719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p**3 - p**2 - 9*p - 9. Does 17 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*x + 30. Suppose -11 = -4*l + x. Suppose -46*g - l = -48*g. Solve -g*c + 4*j + 1 = -3, -4*c + 18 = 2*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = -5*z. Let i be (z + 52)*2875\/(-2). Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/48 + (-3 - 78\/(-24)). Which is the smallest value? (a) 18 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 385 - 681. Let o = -296.000312 - b. What is o rounded to 5 decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from khmokeh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 39*w - 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 90 = 0. Solve 2*r - p = 3*p - n, 5*p - 21 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822077 (base 10) in base 12?\nAnswer: 73a539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14156242, -14156244, -14156256, -14156284, -14156334, -14156412?\n\"Answer: -x**3 + x**2 + 2*x - 14156244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 58, 60?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-a + 2 - 2) - 50589 - 2360*a + 50589 to the form i + l*a and give l.\nAnswer: -2359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 2. Suppose 0 = -2*q + 2 + 2. Let l(j) = -167*j + 61. Let r(y) = 83*y - 31. Let t(d) = -2*l(d) - 5*r(d). What is q*t(w) + 33*i(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = a - 6*d + 4, 5*a + d = 43. Let h(t) be the first derivative of 4*t**2 - 6*t - 19 - 1\/3*t**3. Determine h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*u - 7 = 12, l = -u + 7. Let t be ((-15)\/6)\/((-2)\/l). Suppose t*j = 14 + 36. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-9 - (-8 - (16 + -14)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 471530039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17589235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from {m: 11, d: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 705\/510 + 8\/68?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 234. Let l(u) = -3*u - 116. Let n(o) = -10*l(o) - 6*x(o). Differentiate n(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/11281 + -22168\/2222357. Let z = l - -2567\/591. Let 2\/3*i - z*i**2 + 7\/3*i**5 - 23\/3*i**4 + 9*i**3 + 0 = 0. What is i?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24 = 2*c, -4*c = k + 2*k - 23. Let o = 357 + -357.5. What is the second biggest value in 2, o, 5\/6, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10604 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 25. Let m = x + 20.046. What is m rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/13427 or 0?\nAnswer: -20\/13427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277812735*n + 25*n**2 - 277812735*n.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*0.041.\nAnswer: -0.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 496667447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:35 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -9*y**2\/2 - 5*y + 1. Suppose 11*q - 406 + 428 = 0. Let r be j(q). Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 8. Let p be a(6). Suppose p = h - 12. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 3 - -3) + -3. Let s(a) = -6*a - 3. Let r = 8 + -5. Let b(i) = -r - 31*i - 25*i + 49*i. Give k*b(w) - 5*s(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*n**2 + 2*g*n - 2617*n**4 - 501 wrt n?\nAnswer: 2*g - 31404*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -25. Suppose -z + 2 = 0, -4*x + 2*x + q = 2*z. What is the remainder when 10 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1955 in -62, 1\/5, 4\/3, -0.4, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1760 and 473770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4187, 4196, 4219, 4262, 4331, 4432, 4571?\n\"Answer: u**3 + u**2 - u + 4186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 1081, 144.\nAnswer: -67, 144, 1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.623 litres in millilitres?\nAnswer: 793623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*111\/((-554778)\/272).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486 (base 13) to base 15.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26978 or 8?\nAnswer: -26978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxkqilxqkukkxxxk. What is prob of picking 1 x and 1 u?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-120)*(-18)\/(-21)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5958825*m**2 - 5958825*m**2 - 4*m - 80 - 6*m**3.\nAnswer: -6*m**3 - 4*m - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a - 18. Let s be f(4). Solve -3*p - s = 2*x, 8 = 2*p - 7*p + 4*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 70*v - 26. Calculate l(-3).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i - 11. Let z = -116 + 83. Let u be (-6)\/z - (-270)\/(-33). What is o(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-16)\/(t\/((t\/(t**(8\/3)\/t*t))\/t))*(t*t*(t\/(t*t**(3\/10)\/t))\/t)\/(t\/t**(-10)) assuming t is positive.\nAnswer: t**(-869\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 74, -167, -282, -229, 34, 549, 1358?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2 + 20665176*n - 35587458259248 = 0?\nAnswer: 3444196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in -341, -8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-1)\/(-2) + 0). Let h = 77\/4 + -3165\/164. Which is the nearest to -1? (a) -1\/2 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -670.0375923 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13622314, 27244631, 40866948?\nAnswer: 54489265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 2. Let n = -38 - 10. Let h = n - b. Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus 1848.07?\nAnswer: 1848.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 - m - 2. Let n be y(3). Put 3, n, 1 in ascending order.\nAnswer: n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11) - (sqrt(11) - (sqrt(66)\/sqrt(6) + sqrt(11)))))**2*3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5190.89 - 224.11. Put x, -2\/13, 0.3 in decreasing order.\nAnswer: 0.3, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 3*g - 6*g + 5*g to the form d*g + x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1. Let m(g) = 3*g + 18. Let y(p) = -m(p) - 18*x(p). Let a(h) = -172*h - 5. Let u(j) = 172*j + 4. Let z(o) = 3*a(o) + 4*u(o). What is z(y(d))?\nAnswer: -516*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467 - 5139\/11. Is 0.2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -25. Suppose 0 = -5*o - 3*u + 20, 3*o + 10 - 46 = 3*u. Let g = o + 3. Calculate the highest common divisor of w and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.054 and -310753?\nAnswer: 310753.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 260480500 a multiple of 4750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (55\/(-33)*18)\/((-4)\/86). Calculate the highest common divisor of v and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k - 18. Let s be l(-6). Let m be (-9)\/15 + 74\/s. Which is the second biggest value? (a) m (b) 0.2 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/3, -2\/11, 2\/7 in increasing order.\nAnswer: -3, -1\/3, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/12240 and 79\/480.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqmmmmmmbqmbqqm. Give prob of picking 1 b and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-2) + -1 + 0. What is the units digit of ((-3)\/2)\/((-3)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88898, 177796, 266694, 355592?\nAnswer: 444490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*d**3 - 3 + 0 + 2*d**3 + 0 + (3*d**3 + 0*d**3 - 5*d**3)*(0 + 4 - 2) + 10*d**3 + 1 - 1 - 15*d**3 + 5*d**3 + 12*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 5, r: 5, p: 2, s: 4, l: 1}. Give prob of sequence ss.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139403 * -24.\nAnswer: -3345672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 15. Suppose -5*i + 3*q - 8*q - h = 0, -3*q = 5*i + 5. Let a(m) = 3*m + 0*m - 1 + 0 + m**i. Give a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 + 45371. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 r when three letters picked without replacement from rrrrrrrqrrrrq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/171 (b) 4 (c) 0.4 (d) 1\/35 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*l = -855 + 53 - 323 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1515, -1677, -2017, -2625, -3591, -5005, -6957, -9537?\n\"Answer: -15*r**3 + r**2 - 60*r - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 36. Suppose -19 = -4*t - 3. Let m = i - t. Solve 0 = 2*z + q + 3*q + 26, 0 = -q - m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*a = -16 - 4, -3*y + 4*a = -20. Let b(w) = -w**3 + 9*w**2 - 8*w. Let o be b(y). Suppose -2*s + 42 = -o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-660)\/(-66))\/((665\/84)\/(-19)) + -4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 882 divide 124675992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -555*k - 1545. Let q be p(-3). What is the greatest common factor of q and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -76\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 24*y**3 - 3*y + 4. Let x be o(1). Suppose -x*u + 30*u = 150. Calculate the least common multiple of 3 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1638767 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = m + 20, 6*p - p - 45 = 4*m. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooko when four letters picked without replacement from {k: 3, o: 13}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 52290 = 52213 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 8*c - 27. Let l be h(-12). Calculate the highest common divisor of l and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9132 + 35487. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 222. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0 + 87*i**2 + 0*i**5 + 3\/112*i**8 - 1\/10*i**6 + 0*i**4 + 0*i**3 + 2\/35*i**7 + 0*i. Factor q(k).\nAnswer: 3*k**3*(k + 2)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + (27 + -5 - 35)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2. Let k(s) = 3242055*s + 2. What is k(l(u))?\nAnswer: 12968220*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or 3\/7366?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) + 2)*6*3.\nAnswer: 39 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2 (b) -12 (c) 3\/20 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2940327, -2940330, -2940335, -2940342, -2940351, -2940362?\n\"Answer: -i**2 - 2940326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -22*g + 3856. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**9\/432 - 13*j**5\/120 + 2*j**3\/3 + 2. Let v(g) be the third derivative of y(g). Find the second derivative of v(r) wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-128)\/(-1984) + 1474\/3100)?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/140814 and -1\/378.\nAnswer: 2957094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/178, -916, 0.136 in descending order.\nAnswer: 0.136, -1\/178, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-20)\/(-50))\/(108\/425) and -131\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704321770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 15. Let n be f(-10). What is the smallest value in 0, n, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38572 is divided by 390?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j - 156 = 0. Let l = 45 - j. Suppose -l*i = 2 - 8. Sort i, 2, 0.1 in decreasing order.\nAnswer: 2, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5753 - -13043. Suppose 806*o - y = 800*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 870503\/78 - 11160. Let r = 3\/101 + -179\/2626. Let d = r - u. Sort d, 2, -0.2, 1 in descending order.\nAnswer: 2, 1, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-63)*(11 + -26 + 12)*-4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from {p: 1, u: 4, q: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 8*t - 8. Let c be 12\/16 - (8\/2)\/(-16). Let p be g(c). Solve -2*r - 2*h - 1 = 3, 3*r = -p*h - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.958 and -26.2?\nAnswer: -51.2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - g + 2. What is u(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89447 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.261135 to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 - 36*k**3 + 4*k**2 + 144*k = 0. Calculate k.\nAnswer: -36, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*h - 7 = -1, -x - 2 = 2*h. Is 10 a factor of (x*-1)\/2 + 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.99 + -0.09. Let u = -9 + 11.9. Let x = u - i. Which is greater: x or -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27064640, 27064646, 27064652, 27064658, 27064664, 27064670?\nAnswer: 27064676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let l(c) = 77*c + 22. Determine l(z) - 66*y(z).\nAnswer: 11*z + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (105 - 107) + (-7 + -1 - 1) - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 23201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r - r - 9*r + 6*r as n + o*r and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2*n - 5 = -3*n, 3*h + 12 = 3*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 31 = -51 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83841210 and 422640.\nAnswer: 670729680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f - 925*f**2 + 925*f**2 + 47*f**3.\nAnswer: 47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 154780496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*x - 5, 4*d - 4 = 4*x - 8*x. Let m be (3 + 35\/(-10))\/(23\/(-4)). Is d smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101791 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -62. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2382*k - 1462. Give g(2).\nAnswer: 3302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -89976 at least -89977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38627793 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, 0, -0.3, -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 3*p + p)*((1 - 1 - 1)*(-2 + 5 - 2) + 28 - 38 - 30) in the form w*p + y and give w.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (351\/546)\/(((-2)\/(-4))\/(7\/21)). Suppose 3\/7 + 0*f - m*f**2 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -6, 37467 in decreasing order.\nAnswer: 37467, 13, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**2 + 1546*b + 7888. Determine c(-188).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 + (-47)\/9. Let m(v) be the first derivative of 5*v**3 + 5*v**2 + 2*v + 2. Is m(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1518844575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*u*x**2 - n*u*x + 154229*n*x**3 - 2*n*x**2 + n*x + 4*n - 2*u*x - 43*u wrt x.\nAnswer: -2*n*u + 925374*n*x - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*u + 3 + 0 = 0, 5*c = -5*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(2304) + (-3*-1*sqrt(2304) - sqrt(2304)))\/(sqrt(108)\/sqrt(324) - 5*sqrt(84)\/sqrt(7))*-6.\nAnswer: 864*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 20 = -0*x, 2*x + 8 = -o. Suppose 2*h = -o*h + 28. Is h less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20169809, -20169812, -20169815?\n\"Answer: -3*a - 20169806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2994819.590068 and -3.\nAnswer: -2994822.590068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -27*g**3 + 4*g**2 + 9*g + 5. Let r be t(-2). Suppose 2*u - 223 = -r. Solve -u*s - 5 = -3*b, -4*b - 2*s + s + 14 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5195887, -5195892, -5195875, -5195830, -5195751, -5195632?\n\"Answer: f**3 + 5*f**2 - 27*f - 5195866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*o + 425 = 0, -5*o - 173 = 4*z + 342. Let v = z - -401. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 3*c**2 + 2*c + 3. Let m = 4 - 1. Give o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwwwweeweeww. Give prob of picking 2 y and 2 w.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 29*v - 48*v + 19*v - 172*v**3 as u + j*v**2 + k*v + a*v**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6470388.9 nanoseconds?\nAnswer: 0.00000179733025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1472, -1474, -1476, -1478, -1480?\n\"Answer: -2*b - 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(0*u + 0*u + 2*u)*(65*u + 35*u - 68*u) + u - 2*u**2 - u.\nAnswer: 62*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38356 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*236\/48*(2 - -2). Suppose -361 - h = -4*n. Let r = n - 104. Which is smaller: 3\/38 or r?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/132*1*418\/(-380)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -3, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313446643.\nAnswer: 313446643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 4, 52, 1.\nAnswer: 1, 2, 4, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1507*r**2 + 4*r - 13. Let a(o) = 1005*o**2 + 3*o - 9. Let j(y) = -7*a(y) + 5*p(y). Let s be j(-2). What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -14 - 38) + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2100*v + 434708. What is i(-207)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -2 - (-6)\/(-6). Suppose g - 2 = i*c, 4*c - 5 = -2*g + 7. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2. Let z(y) be the second derivative of -5*y**4\/12 + 75*y - 1. What is s(z(r))?\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -8, 1\/9, -4\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-5 + (-2 - 1)). Solve n = 5*v + 30, 0*n + i = -3*v - 2*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(336\/(-232))*(-120)\/20?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 12.070458?\nAnswer: -14.070458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10101130 (base 4) to base 11\nAnswer: -1216a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887191*m + 25*m**2 - 17*m**2 - 887191*m.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-16) - (764\/(-32) + -1). What is the first derivative of x*h**3 - 3894*h + 35 + 3894*h wrt h?\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17955 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -19. Let i(z) = -9*z**3 + 2*z**2 + 3*z + 7. Does 27 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -71*b + 21. Let o(c) = 84*c - 5039. Let g be o(60). Determine j(g).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + 1.5. Which is the smallest value? (a) q (b) -0.4 (c) -4 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*a - 0*k + 8, -3*a + k + 4 = 0. Suppose -4*o = v - 7, -4*v + 0 = -o + 6. Find the third derivative of a*j**o + 0*j**6 - j**2 + j**6 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -16. Factor 0*v**3 + 2*v**2 - v**3 + 2*v**m - 3*v**2.\nAnswer: -v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011696 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 193, 1325, 4423, 10471, 20453?\n\"Answer: 164*l**3 - l**2 - 13*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 54 - (42 - (-30 - -139)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-12 + (-12 - -5) - -8) + 19 + -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*9\/(-24) + (-166221)\/(-132) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 12546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, w: 5}. What is prob of picking 2 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-15)*l)\/l*l)**36 assuming l is positive.\nAnswer: l**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 48*g - 6. Let v be h(-24). Let j(z) = -5*z - 21. Let f be j(v). Suppose 2*y = -2*s, -y - 18 = 2*s - 5*y. Sort s, -4, f in descending order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -696080, -695978, -695876, -695774, -695672, -695570?\n\"Answer: 102*p - 696182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 + -220. Let v = -32.11 - -32. Let i = -0.89 + v. Which is the nearest to -1? (a) z (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805350483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.0158ug in grams?\nAnswer: 0.0009200158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**1*(((o*(o*o\/o**(8\/5))\/o*o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0. Suppose 3*k + 7 = 26*h - 137, -5*h = 5*k - 50. What is the closest to o in -0.4, -5, k, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.75 minus 0?\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13528 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 3*a - 5*u + 6, 3*a + u = 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 4:01 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 4, i: 1, o: 6, f: 1}. Give prob of sequence oi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**2 + 3*v + 2. Let d be l(6). Let o = -3382\/9 - d. Factor -o*b**2 + 0*b - 2\/9*b**3 + 0.\nAnswer: -2*b**2*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/4, 2\/39, -0.02, -0.41 in decreasing order.\nAnswer: 2\/39, -0.02, -0.1, -0.41, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -496 and 3282551.\nAnswer: -1628145296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/15)\/(2\/(-948)). What is the second derivative of 2 + 2 - 308*b + r*b - 79*b**4 wrt b?\nAnswer: -948*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806 times -0.5?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**3 + 9*m**2 + 9*m - 3. Let w(j) = -3*j**3 - 5*j**2 - 3*j + 1. Determine 4*a(i) + 10*w(i).\nAnswer: -2*i**3 - 14*i**2 + 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/16*1144454\/(-5). Let r = -213784 - j. Let y = 799 - r. Calculate the common denominator of y and 13\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + y = 8, 5*g - 16*y - 31 = -12*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9194399 tonnes?\nAnswer: 919439900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257 + h - 766 + 386 - 3*h**2 - 2*h**4 + 410 to x*h**3 + g*h + n*h**2 + a + p*h**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*x + b - 4, -8 = 2*b. Suppose 5*d - 4*d + u = -8, x = 4*d - 4*u. Let g be d\/((-45)\/132)*5. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 55*d**3 + 3*d**2 - 5*d + 5. Let x(h) = -18*h**3 - h**2 + 2*h - 2. Let g(o) = -4*n(o) - 11*x(o). List the prime factors of g(-2).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, i: 2, c: 4}. Give prob of sequence ccui.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -1021022221100?\nAnswer: -1021022222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let q(u) = -4*u + 7*u - 3220 + 3226. Let j = 58 - 57. Give j*q(h) + 6*d(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05805 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3.4 (b) -15 (c) 0.3 (d) -166 (e) -3 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-12)*r)*r)**(1\/46)*r**(-5\/7)*r**(-1\/14) assuming r is positive.\nAnswer: r**(-165\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -48*l**2 - 2*l - 69. Let p(k) = -1. Let s = 281 + -285. Let h(t) = s*p(t) - g(t). What is the first derivative of h(y) wrt y?\nAnswer: 96*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2837931.87 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 23 + 50*z - 15 + 130*z - 8.\nAnswer: 180*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 2, z: 8, h: 1}. What is prob of sequence em?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**3 + 6. Let q(l) = -l**3 - 1. Suppose 7*c - 10*c = 3. What is c*d(r) - 6*q(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -266, -557, -828, -1067, -1262?\n\"Answer: 2*f**3 - 2*f**2 - 299*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 161 - c - 4*c**2 + c + 53 to m*c**2 + i*c + s and give s.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - g = -4134, -3*v - 30*g = -27*g - 3105. List the prime factors of v.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**3 + 19*t**2 - 4*t - 1. Let j(s) = -13*s**3 + 12*s**2 - 2*s - 1. Let z(f) = -2*a(f) + 3*j(f). Suppose -1 = 5*p - 6. Give z(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011201021002 - -1?\nAnswer: 1011201021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1044.3 + -1045. Which is the nearest to 6? (a) 2 (b) 3 (c) -1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 302\/8 - (-1)\/4. Suppose 0 = 2*c - 4*c + a. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-1206.\nAnswer: -28944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 2*q**3 + q - 4*q**3 + 12*q**3 in the form t*q**3 + c + k*q**2 + o*q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712628 to the power of 1\/2, to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 6*a - 4. Let i = -485 - -480. Let q(j) = 3*j**2 - 5*j - 3. Determine i*o(h) + 6*q(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49341, 49339, 49337?\nAnswer: 49335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(9\/3))\/3*156\/1560?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 211, 232, 261, 298, 343?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2358466.31 - 2417433. Let p = t - -59235. Let l = p + -267. What is l rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2.5, 0.21, -4, 2, -2.8 in decreasing order.\nAnswer: 2.5, 2, 0.21, -2.8, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-134)\/(-3) + 12\/36?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 43 - 131. Calculate the remainder when z is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 + 4*b**2 - b. Let c(v) = 2*v**2 + 4*v**2 + 19*v + 10*v**3 - 20*v. Determine -5*c(l) + 7*i(l).\nAnswer: -l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 - 22802*t\/11 - 22804\/11.\nAnswer: 2*(t - 11402)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1300, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -6a?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 4 + 12)*(9*q + 6*q**2 - 9*q) in the form l*q + z + c*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuhfuuffuud. Give prob of sequence uf.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9\/3055 = 13\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose -2*v + t - 8 = 0, v + 4*v + 7 = -y*t. Let m be (4\/v)\/(8\/(-6)). Solve -h = 5*x - m, h + 7 = 6*x - 3*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 + 3*r. Let w(n) = 1 - n**3 + n - 1 + n**2. Let t(q) = -v(q) + w(q). Factor t(l).\nAnswer: -2*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088, 1089, 1090, 1091, 1092?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:42 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let n be (-1 + 0 - b) + 3. Suppose 12 = -29*y + 30*y + d, -5*d + 24 = -4*y. Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141396 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 7*v**2\/2 - 29*v\/4 + 11.\nAnswer: -(v - 1)*(v + 4)*(v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1213*g - 364. What is the thousands digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*q = -8, 0 = -w - 4*w + 5*q - 25. Let a be (5 - 2)\/(6\/w). What is the remainder when 1 - (74\/a + 0) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 0.0014733?\nAnswer: 0.00117864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 + 212. Let g = a - 482. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n*n)**48\/(n**(-1\/4)\/(n\/(n*n**4\/n))))**(11\/6) assuming n is positive.\nAnswer: n**(1991\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8634.724*3.\nAnswer: -25904.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1662715 to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(195\/650)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = -5*v. Let s(k) = 8*k**2 - 4*k**v + 9*k + 2*k**2. Let q(g) = 3*g**2 + 5*g. Calculate 9*q(o) - 5*s(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13413611*u**4 + 230*u + 3483 wrt u?\nAnswer: -160963332*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 191514. Let x(m) = -2*m. Determine x(i(h)).\nAnswer: 10*h + 383028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/43695 and 16\/33985?\nAnswer: 305865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -22, -44, -80, -136, -218, -332, -484?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2376613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and 27\/59780.\nAnswer: 59780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30505494.\nAnswer: 2, 3, 5084249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4172 and -47\/2012990.\nAnswer: 4025980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 25 - 34 = -q, -38*q = -3*d + q + 216 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1325 and 1325 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 433*l - 61. What is the smallest common multiple of f(1) and 6?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -4, 3, 177, -0.21, 0 in decreasing order.\nAnswer: 177, 3, 0, -0.21, -1.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -172 and -172 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4510\/7150 + (-17)\/((-170)\/(-4))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v - 1. Let l(p) = -11*p + 26*p + 220000*p**2 - 1 - 16*p. Let a be l(v). Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -75, -89, -107, -129, -155, -185?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - -18) + (-12 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-12) - 2\/(-4). Let q = p - -3. Solve -q*s = -0*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*p + 42. Let q = p + 1. Calculate the least common multiple of q and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/((t\/((t\/(t**(2\/9)\/t))\/t*t))\/t)*(t**(-2\/3))**1)**(-3\/5))**(-12) assuming t is positive.\nAnswer: t**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*d + 30*d - 200. Suppose -30*m + d = -26*m. Let p be (16\/(-18))\/(2\/(-3)). Put m, -2, p, 5\/3 in ascending order.\nAnswer: -2, p, 5\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 60. Suppose p = -u - 4*u. What is the least common multiple of 6 and u\/(-26) + 1792\/182?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56367\/2 + 28183. What is the fifth smallest value in 3, -2\/3, s, -49\/3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2029.22 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.9931ml in litres?\nAnswer: 0.0309931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68641409?\nAnswer: 31, 61, 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5))**(10\/19)\/(o**(-12))**(-26) assuming o is positive.\nAnswer: o**(-5978\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2985118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3905605707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0185*1\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 8 = 18*w. Suppose 9*f = -w*f - 4*f. Calculate the common denominator of 61\/4 and (-55)\/(-120)*-22 - f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 155352*h - 776768. Give q(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 364.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/7, 5, -3873\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/4)\/((-4)\/(32\/3)). Let w = z - -7. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 149*u**3\/3 + 1. Let c(m) be the first derivative of -m**3 + 81437. What is l(c(t))?\nAnswer: 1341*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8600 - 5775 - 8614 + 22989 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3147 (base 16) in base 13?\nAnswer: -10131b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173941 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 983 + 587. Suppose -q - k = 342. Let o = -387 - q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*s + 2000*s - 498*s - 505*s - 493*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -496b1 (base 12) to base 5\nAnswer: -11140433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 2*z + 2. Let p be i(-2). Let g be (-2 + 1 - 0)*20. Let v be (g + -90)*(p + 1). What is the greatest common divisor of v and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 17*a**2 - 49*a + 4. What is p(-12)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-2*sqrt(392) - sqrt(392)).\nAnswer: -sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -65. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - i - 130, -80 = -2*o - i. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3884339 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47036637.\nAnswer: 3, 17, 29, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.678386 to three decimal places.\nAnswer: -0.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 421334 (base 5) to base 14\nAnswer: 513b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(-2\/11)\/(i**7*i**4))\/(i**5*i*i\/i**1*i**4\/i**(-2)) assuming i is positive.\nAnswer: i**(-1269\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*s - 26, -2*h + 3*s - 24 = -4*h. Suppose h + 4 = z. Solve t - z = -4*g, -5*t - 1 = 4*g - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 1\/63, -348, -2, 0 in decreasing order.\nAnswer: 1, 1\/63, 0, -2, -5, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let r(f) = -1267133*f**2. What is r(m(l))?\nAnswer: -5068532*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 y when three letters picked without replacement from tevueeaueeyyy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:50 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 14 = -4*h - 6*r, 3*r = -h - 7. Let p be (h\/(-5))\/(5\/(-100)). Solve -z = z - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*r + 30856 = 1255423. What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 3*z + 43884*z**2 - 43881*z**2 + 2*z**3 + 6 + (-2*z + 2*z + z)*(1 - 1 + 2*z**2) to q*z + o + t*z**3 + b*z**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let r(a) = 2*a**2 - 3*a - 17. Let y(d) = -p(d) + r(d). Is y(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by (-21)\/(-2)*(-59)\/(1416\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**2 + 29 - 29 - 2*q**3 + (-4*q - 2*q + 4*q)*(q**2 + 4 - 4).\nAnswer: -4*q**3 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2129311, 4258577, 6387843, 8517109?\nAnswer: 10646375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-28)\/84 - 2694\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873004 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: Collect the terms in 91*n**2 - 10*n**2 + 53*n**2 - 10*n + 490 + 51*n**2.\nAnswer: 185*n**2 - 10*n + 490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1. Let w(x) = 2*x**3 - 2*x**2 + 3. Let j(s) = 10 - 10 - s + 10. Let t be j(7). Calculate t*k(h) - w(h).\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 481, 963, 1445?\n\"Answer: 482*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 12*w**2 + 4*w - 92. What is q(14)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655743\/44 - (-182)\/(-56).\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -4327467?\nAnswer: -4327467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 12, c: 1}. Give prob of sequence zzc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3154 or 3153?\nAnswer: 3154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 31432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -429*n**3 - 29*n**2.\nAnswer: -2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - 3*sqrt(132)*-1) - sqrt(132))\/(sqrt(96)\/(sqrt(8) - sqrt(288))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.799 and -1891151.\nAnswer: -1891142.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*b**3 - 248*b**2 - 826*b + 196.\nAnswer: -2*(b + 7)**2*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + (2 - (1 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2266945 and 59.\nAnswer: -133749755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2235*r + 2223*r = -24. Let w(t) be the first derivative of t**r - 1\/12*t**3 - 4*t + 5. Factor w(b).\nAnswer: -(b - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - x = -2, -2*s + 2*x = 2*s + 4. Let i(m) = 11*m + 581. What is the units digit of i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.04. Suppose -70 + 195 = 5*g. Let s be 2 + ((-6)\/5)\/(10\/g). Which is the nearest to l? (a) s (b) 3\/7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 6:11 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l - 65 = -5*g - 110 - 116, 5*l + g = -97 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.601046 - -2.6. Round z to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 1 + 922 + -903.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -613, -1139, -1663, -2185, -2705?\nAnswer: -3223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and 1208?\nAnswer: -265.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-2295)\/(-18))*-6.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4213*l = 4209*l + 1612. Calculate the greatest common divisor of l and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 91*w + 19. Let i(b) = b**2 + 27*b + 130. Let j be i(-5). Is f(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 + 77 + 5*f**3 - 4*f + 17*f**3 + 2*f**4 + 3*f - 142 to w*f**3 + c*f + v*f**4 + a + y*f**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43874 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) 12.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485.26 litres in millilitres?\nAnswer: 4485260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -46*t**2 + 2*t + 400. Let l(y) = -y. Calculate l(s(b)).\nAnswer: 46*b**2 - 2*b - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 680*r - 5896. Calculate n(9).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 6*v + 7. Let f be y(-5). Let d(w) = 3*w**f + 3*w**2 - 5*w**2. Let b(l) be the second derivative of l**3\/3 + 3*l. Determine b(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/10659910 and -3\/766900.\nAnswer: 106599100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/50 + f**4\/12 - 2*f**3\/15 + 11*f**2. Factor t(c).\nAnswer: -2*(c - 1)*(3*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50411 or 50409?\nAnswer: 50411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2992500 + -633083. Let h = 259417 - c. Round h to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 6 + -3 + 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4830455 < 4830455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = -0*a. Suppose 4*i - 4*x + 32 = -0*x, 0 = -4*i + 5*x - 32. What is the units digit of (a - -5)*i\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + w. Let f(n) = -4*n**3 + 2*n. Let d(z) = -3*f(z) + 6*v(z). Find the third derivative of d(x) wrt x.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 843 = 2*v. Suppose 0 = 5*p - 534 - v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-2 + sqrt(162)) - (sqrt(162) + (sqrt(162) + 1 - sqrt(162))*-2))**2.\nAnswer: -2304*sqrt(2) + 10624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - m. Let x(t) = 346*t**2 - 3*t + 64. Let w(u) = x(u) - 3*z(u). Find the first derivative of w(a) wrt a.\nAnswer: 668*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4*92*(-67)\/(-13869)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -245518 divided by 1349?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 128082425 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31797787?\nAnswer: 7, 1367, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -18*m + 1 + 20*m + 7. Calculate the lowest common multiple of h(5) and 28\/3 - (16\/3 + -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-6)*l)**(5\/7) assuming l is positive.\nAnswer: l**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**3 - 7*y**2. Let w(u) = 7*u**3 - 3*u**2. Calculate -3*r(j) + 7*w(j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17582240 is divided by 3795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100006 and 16120?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(4 + -2 + -1 + -2). Let i be -4 + (p - (-5 + 6)). Which is smaller: 2\/361 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**3 + 9*l + 11. Let h(v) = -9*v**3 + 7*v + 9 + 5 - 2 + 2*v. Let b(m) = 5*h(m) - 6*o(m). Factor b(t).\nAnswer: 3*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1339\/126 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*p + 141*p + 10901 + 50095 = 0 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 657 = 639. Suppose 4*t - 5*t = 11. Let d = -3 - t. What is the lowest common multiple of u and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*l = -6 + 8, -5*l - 2 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let q = -7 + 9. Let l(s) = q*s**2 - 9*s**3 - 4*s**2 + 4*s - 5*s + 0*s. Give l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x + 30. Let k(s) = -730 - 723 - s - 724 + 2174 - s**2. Give k(x).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18429551.\nAnswer: 7, 2632793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 9*q**2 + 12*q - 79. Let j be g(9). Sort j, -2, 3, -4 in increasing order.\nAnswer: -4, -2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5*w + 37 = 0, 3*q - 8*w = -6*w - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/5 - 2092*p**3\/5 + 77904*p**2\/5 = 0 for p.\nAnswer: -1082, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:36 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 39. Suppose -5*k = -3*a + 12, -4 = -k + q*k - a. Let f = -54\/13 - -823\/195. Is f at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2716 and 728?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 4*l**3\/3 - 23*l + 4096. Let m(p) = -2*p**2 + 12. Let j = 10 - 15. Calculate j*m(f) - 3*u(f).\nAnswer: -2*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (31 - (-2 + 2)) + -3. Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 6 = -3*a. Let f(l) be the first derivative of 13*l**3 - 5*l**2\/2 - 2*l + 10. Is f(a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 23410. What is the tens digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -11. Let g be -2*2 - (-3 + (3 - -3)). Let d = g + f. What is the least common multiple of 6 and d?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + 5)*1\/9. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 379336 + 22.1308783\nAnswer: 379358.1308783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406802.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3 + 177*k**2 + 10443*k + 1099. Find o, given that t(o) = 0.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10021131330 + -110?\nAnswer: 10021131220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, 0, -99, -0.9, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 419734, 419733, 419732?\n\"Answer: -y + 419735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 10*j - 70 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t**2 - 10*t - 9. List the prime factors of w(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30868558, -61737116, -92605674?\n\"Answer: -30868558*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/85 or -1?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = 2*u - 4*u, 2*s - u + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x\/(x*x**(-2\/7)\/x*x*x))\/x*x*x)\/x)*(x**0\/x)\/x*(x**(-1\/4))**(1\/8))\/(x**4\/(x**(-1\/17)*x*x))**(-4\/3) assuming x is positive.\nAnswer: x**(27739\/11424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 - 26*j - 264. What is the thousands digit of t(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.5. Let d = 0 + 8. Let i = -9 + d. Which is the second biggest value? (a) i (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 0*n**3 - 14538 + 1195*n**2 + 14536 + n - 3*n**3 to the form x*n**2 + y + m*n**3 + u*n and give x.\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 2*d**5\/5 - 5*d**4\/4 + 4*d**3\/3 - 2*d**2 + 99*d. Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5802, -5840, -5880, -5922, -5966, -6012?\n\"Answer: -l**2 - 35*l - 5766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 9*h**2 + 8*h + 2. Let a be p(8). What is the third derivative of -3*x**a + 8*x**4 + 16*x**2 - 9*x**2 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256114 (base 7) in base 2?\nAnswer: -101000011000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -254694? (a) -2 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 2*b)*(0*b - b + 0*b) + (13*b**2 + 86 - 86)*(-2 - 1 + 0).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/4 (b) 1\/2 (c) 14 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1068 + -1068.3. What is the biggest value in -1, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276507 is divided by 172.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5421249737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -14\/1901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/11))**(-7\/5)\/(c**(-2\/3)\/c)**(3\/28) assuming c is positive.\nAnswer: c**(79\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6) + (-205)\/(-150).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-370)\/(-20) + -18 - ((-51)\/(-18) + -3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36723577 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(65) - -1*sqrt(65)))\/(sqrt(10)\/(sqrt(12)\/sqrt(6))) - (-2 + -1*sqrt(26)\/sqrt(2) + (4*sqrt(13))**2*2).\nAnswer: -414 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -33\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m*m**(-2))*m*m\/(m**(-2\/21)\/m)*m*m*m\/((m\/m**(4\/3))\/m*m)*m)**(-29) assuming m is positive.\nAnswer: m**(-1711\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**2\/2 + 5*h + 1. Let s be t(5). Let n = 16706 - 16702. Solve s = -n*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, 55, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*1)\/sqrt(8) + sqrt(1008))*-2.\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 669*(4 + (-796)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -8. Sort 2, q, 1 in ascending order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:46 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37000559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1740 - 0)*(85\/10 + -8). What is the greatest common factor of b and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let z(o) = -1235*o**3 - o**2 + 780*o - 2. Let y(t) = -2*l(t) + z(t). What is the second derivative of y(r) wrt r?\nAnswer: -7410*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4 + 20. Suppose 2\/9*z + 0 + 0*z**3 - 4\/9*z**2 + 4\/9*z**o - 2\/9*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*o + 80*o = -498. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let g(c) be the third derivative of 13*c**4\/24 - c**3\/3 - 8*c**2 + 2*c - 11. Give g(u) - 6*l(u).\nAnswer: 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55726546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5 - 1) + -3 - 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (-102 + 70)) + 98\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*j + 22, 616*j - 619*j - 3*p + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncnn when four letters picked without replacement from {n: 12, c: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1072946484 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlcljzlzrczrzuz. Give prob of picking 1 r and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:08 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/3 - 8935*o. Let l(c) = 53*c**2 + 17*c. Determine l(t(w)).\nAnswer: 848*w**4 + 68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 - 2226*s**4 + 310464*s**3 - 14951370*s**2 + 309909075*s - 2344576500 = 0. Calculate s.\nAnswer: -868, 21, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 - 164. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/1*12*2\/20. Find the first derivative of 3 + 17 - 2 + i*h**3 wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -9*t - 95 + 21 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m + 156 + 53*m + 51*m + 53*m + 49*m - 256*m.\nAnswer: 2*m + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - (-5 - -1) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by 114997?\nAnswer: -420\/114997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.618124109826 - 1886.381872872174. Let q = p + 1887. Round q to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 92. What is the units digit of (42\/m)\/((-213)\/(-211) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.71 + -0.81. Which is the closest to 1\/4? (a) w (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 10310000?\nAnswer: 10310003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/36960 - g**7\/3465 + g**6\/792 - g**5\/330 - 7*g**4\/24 - 6*g**2. Let l(i) be the second derivative of t(i). Factor l(p).\nAnswer: 2*(p - 2)*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbibfebzbffffbbffz. What is prob of sequence efi?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44780*o**2*y + 48309*o**2 with respect to y.\nAnswer: 44780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**2 + 8*f. Let o(r) = 5*r**2 + 6*r. Let v(j) = 3*m(j) - 4*o(j). Let u(q) be the third derivative of -q**5\/20 + 7*q**2. What is u(v(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160280 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**39)\/j**(-1\/44) assuming j is positive.\nAnswer: j**(1761\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, -4, 26, 0, 18.\nAnswer: -5, -4, 0, 17, 18, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 28*d**2 + 2*d + 19. Determine u(28).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256849 or 2825355\/11?\nAnswer: 2825355\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -y + 2*h, 3*y - h = 2*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/11 - 20*m\/11 + 192\/11 = 0. What is m?\nAnswer: -16, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/925 - -20987\/33300. Let c = r + -8\/9. Which is smaller: c or 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45469 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {z: 2, m: 2, k: 4, i: 2, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 6*a**2 + 6*a + 6. Let k be (-1)\/(1 + 24\/(-28)). Let t(d) = 2*d**3 + 7*d**2 + 7*d + 7. Determine k*z(f) + 6*t(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -153 (b) 2\/7 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 10, 0.4 in ascending order.\nAnswer: 0.4, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -2. What is the third smallest value in l, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 22, 0 in descending order.\nAnswer: 22, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064633770.\nAnswer: 2, 5, 733, 281669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5148*t = 5157*t - 108 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -69, -132, -251, -444, -729?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let o(y) = y + 4. Let a(l) = -l - 9. Let d(b) = z*a(b) + 5*o(b). Suppose -4*m = 4*q - 32, q - 5*q - 2*m = -26. Calculate d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhh when four letters picked without replacement from hhxxhxhhhx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 891107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 18 = -3*s, 2*s + 21 = 5*i - 2*s. Let x(l) = l**3 + l**2 - 1. Let t(j) = 2*j - 4*j**3 - 5*j**2 + 6 + 0*j + j**3. Give i*x(w) + t(w).\nAnswer: 2*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 12*g**2 + 12*g + 10. Let m be c(-11). Let y be (-1 - 2)\/(0 - m). Let v(j) = -2*j**3 + 4. What is the remainder when v(y) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/14*(-3 + 5). Is 0 + f - (-760 - (0 + 4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.84897 - 4\nAnswer: -23.84897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 130*r**2 + 130*r - 31. Determine d(-64).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 3*f - 4. Let a = 11 + -9. Let u = 2 + a. Give i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 + -3.1. What is the nearest to 0.1 in 4, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 258*p + 47377. What is z(-180)?\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -49.6668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzzz when four letters picked without replacement from zzzrzzzzzzzzzzzzzz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76660 - 42354 = -14*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 243*i - 1229. Let x be l(-5). Solve -x*z + 3*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 123. Is 1447\/m - (-3)\/(21\/2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-3) - 3)*(-3)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -2.05. Let a = -36.385 - -33.385. What is the nearest to -21 in v, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13547 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/3384*(-105)\/(-490)*-24.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -84, -3 in decreasing order.\nAnswer: 5, 0, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 4*s + 0*s**2 - 1\/4*s**4 + 0 + 1\/20*s**5 + 0*s**3. Find the third derivative of y(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-165)\/(-57) + (-8)\/(-76). Suppose 6*n + a - 102 = 3*n, 138 = f*n + 2*a. What is the lowest common multiple of n and 345?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 67. Let t = o - -102. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 1. Let k(p) be the third derivative of 7*p**4\/24 - 5*p**3\/3 + 4*p**2. Let d(j) = 2*k(j) - 2*y(j). Factor d(g).\nAnswer: -2*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.6 (b) -10 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -339\/4 + 85. Put -63, t, 3 in descending order.\nAnswer: 3, t, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*t + 6*t**3 + 39*t)*(3 + 0 - 2)*(1 - 2 + 0) - 4*t + 4*t - 4*t**3 + (2*t - 2*t + t)*(t - t - 2*t**2).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in 0, -10\/7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.085 and 0.28?\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 603 = 33*j + 290, 0 = 4*j + 4*h + 104 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**2 - 7*s. Let b(i) = i**2 - 32*i - 414. Let t be b(-10). Let p(w) = -11*w**2 - 8*w - 1. Give t*p(u) - 7*l(u).\nAnswer: 4*u**2 + u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136273313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5502 (base 11) in base 2?\nAnswer: -1110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at least as big as 785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -2 + 2 + 2. Let w be 119 - 122 - -1*7. Suppose s = w*m + 112 - 124. What is the remainder when 5 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/6)\/(2\/12). Suppose 0 = 4*r - y - 6. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, -0.5, 2\/3, 6, -2\/19, 21, -130?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14166107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4572*l + 0*l**3 + 1518*l - 1543*l - 2*l**3.\nAnswer: -2*l**3 - 4597*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/3 + 5\/15)\/(-2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/9 + 34*q\/9 + 4 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and 2090491.\nAnswer: 2090490.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18791811749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1042*w**3 - 7*w**2 - 2*w + 9. Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -514*b - 7151. What is j(-14)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351 divided by -66?\nAnswer: -2351\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 9*s + 7. Let b(h) = h**2 - 4*h - 3. Calculate 9*b(u) + 4*i(u).\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(208*q - 456*q - q**2 - 703*q) as i*q**2 + a + y*q and give y.\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 120008 times -21\nAnswer: -2520168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2157342373 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2569*z = -2451*z + 5083*z + 3528 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*45\/(-36)*(-1 + (-216)\/(-80)). Factor 1\/4*i**2 + 0 + f*i.\nAnswer: i*(i + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 22 + -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*o**3 + 14*o**3 + 12*o**6 + 6*o**6 - 21*o**6 + 57*o**2 + 10*o**6 wrt o?\nAnswer: 840*o**3 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000010101 - -110?\nAnswer: -100000000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -266456 and -5?\nAnswer: 1332280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138156202 to the nearest integer?\nAnswer: 11754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + ((-99)\/44)\/9. Is -6\/19 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c + 3*c)*(62 - 49 + 62) + 8*c + 0*c - 4*c + (1 - 1 - c)*(0 - 1 + 4) as f*c + m and give f.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 - 5580*k**2 + 5808*k + 312704 = 0?\nAnswer: -1396, -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/7 + 4*q**3\/21 + 2*q**2\/7 - 4*q\/7 + 14. Solve y(r) = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u - 22*u + 206712 = 8*u. What is the highest common factor of 297 and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(44)\/(-3*sqrt(4))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*o + 38 + 88 + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*f + 12 = 0, 4*f = -5*w - 0*f + 27. Solve -2*a - 5 = w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 13*b - 1\/3*b**3 + 1\/10*b**5 + b**2 - 1\/6*b**4 + 23. Let c(w) be the first derivative of d(w). Suppose c(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384955188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4\/4 - 11*c**3\/3 + 8*c**2 + 50*c + 159. Let l be h(-12). Factor -2\/3 + 4\/3*b**4 - 1\/3*b**5 - 4\/3*b**3 - 2\/3*b**l + 5\/3*b.\nAnswer: -(b - 2)*(b - 1)**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3\/5 - 11464*z**2\/5 + 1651924*z - 65345312\/5 = 0.\nAnswer: 8, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1027871 + 2055754 - 22*d - 5*d - 1027881.\nAnswer: -27*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16492935 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.079886, -16, 0.4 in descending order.\nAnswer: 0.4, 0.079886, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 188008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 24*i - 72. Let x be o(-20). Suppose -x*w = -809*w + 4. Let h(g) = 3*g - 8. Let l be h(6). Solve 9*f - w*f = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/22 - (7 - 103428\/33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 0. Let k(b) = b + 4. Let c be k(p). Solve c = 4*g - 0*g - 5*t, t = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = 10. What is the derivative of -5 - 5*w + 0 - 4*w - k*w wrt w?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 26 - 26 = 0. Suppose 1200 = 17*f - y*f. What is the remainder when 2*(f\/8 + -4) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 348 = 6*u - 10*u, -q + 2*u = -78. Let i = q - 68. Suppose 4*h - 255 = -h + y, -i*y + 204 = 4*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15413, 15516, 15619, 15722, 15825, 15928?\nAnswer: 16031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 2*o + 1. Let i(m) = -16*m**2 - 11*m + 5. Let y be (-2 - -3) + 6*3\/6. Give y*i(b) - 22*l(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63, 128, 193?\n\"Answer: 65*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024840 divided by 2?\nAnswer: 512420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 7*c**2 + 7*c - 10. Let d be s(-8). Let n(g) = -g**2 - 5*g + 11. Let i(z) = -z + 2. Calculate d*n(x) + 11*i(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 + 350. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16234.89684 rounded to the nearest 10?\nAnswer: -16230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3 = -27. Let q be (-18)\/(-4) + o\/4. Suppose 0 = -q*c + 4*c - 182. Calculate the greatest common factor of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from arhahraiarh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 746.0353ml?\nAnswer: 0.7460353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 + -424.0323. What is j rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 25. Let k be s(8). Let g = 80 - k. Suppose 52 = 3*i - g. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*j**4 - 2*j**4 - 1 - 3096*j + 3087*j wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 38. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*v = 11, -2*x + 9*v - 6 = 11*v. Let d(m) = 163*m**3 + 5*m**2 - 7*m + 2. Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-182) - (-220)\/715. Which is the nearest to v? (a) 5 (b) 0.005 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**4 + 3*a**4 - 4*a**4)*(1 + 0 + 1) - 140*a**3 - 925*a**4 + 140*a**3 to i*a**4 + j*a + s + u*a**2 + g*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/7 - -19\/7. Let g = -11 + 13. Suppose 3*v + g*v + 2*s = 11, -2*s = -4*v - 2. Are v and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let o be 61\/n*18\/9. Let j = o - -82. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2595 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-243)\/(-108) + 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01584997037 + -0.2?\nAnswer: -0.18415002963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9509 + 0.0391. Let o = i - -0.01. Let h = o - 4.5. Which is the smallest value? (a) 1\/4 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10192 is divided by 1881.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 3*l - 1032. Is 10 a factor of 1\/3 + l\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*p + 35, p = -10 + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/4*(0 + 6\/(-5)). Suppose -o - k*t = -11, 7*o = 4*o + 2*t. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5623359 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.37 + 1.17. Sort n, 2\/7, -4, -0.1 in descending order.\nAnswer: 2\/7, -0.1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u + 28. Is t(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -63. What is the lowest common multiple of v and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 6*o**2 - 2*o - 3. What is j(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6*i. Suppose i = 6*l + 16*l - 902. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 35*i - 174. Determine r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + -15 + 26 + 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c**4 + 0*c**3 - 2\/105*c**7 + 0*c + 0*c**6 + 1\/20*c**5 + 0 - 6*c**2. Find the third derivative of f(m) wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13248448 to the nearest integer?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*l**4 - 2 + 383*l**4 + 2*l + l**3 - 186*l**4 to u + t*l**4 + f*l**2 + a*l + k*l**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Suppose 0 = 3*m - c*m. Suppose -2*z + m = -96. What is the greatest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1. Let s(y) = -y - 5. Let w = 26 + -22. Let o(k) = w*z(k) - s(k). Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9*y)\/(y*((y*(y*y*y**(-6))\/y)\/y*y)\/y))\/((y\/(y\/y**(3\/7)*y))\/y*((y*(y*y**(-3)\/y)\/y*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/60 + 11*z**4\/24 + 16*z**3\/3 - 31*z**2. Let l be r(-5). What is the common denominator of -127\/48 and l\/(-4)*(-749)\/49?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4053487 millennia?\nAnswer: 4.053487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/2))**40*(d*d**(-9))\/(d**(-24)*d) assuming d is positive.\nAnswer: d**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 44 = 4*w - 27*c - 2*c - 9, -2*c + 0*c = 0 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*a*b*g - 107*a + 8*b*g**2 - g**2 wrt b.\nAnswer: -10*a*g + 8*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3402.6*-8.\nAnswer: -27220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 8*k + 2. Let y be u(-4). Let g be (19 + -38 - -16) + (-63)\/(-13). Factor -g*z - 2\/13*z**3 + 16\/13 + 12\/13*z**y.\nAnswer: -2*(z - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -s - 13, 0 = 4*u - 5*s - 33. Suppose u*v + 2 - 74 = -d, 0 = -5*v - 2*d + 179. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.1 (c) -1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7430 (base 14) in base 5?\nAnswer: -1120114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*g - 7 - 48, 3*g - 63 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 13*m - 15. Suppose 3*f - 16 = 2*w + 8, -3*f + 21 = -w. What are the prime factors of s(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 - 289*p**4 - 2*p**3 + 2045*p**2?\nAnswer: 240*p**3 - 6936*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t**3 - 1. Calculate c(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7051306m to nanometers.\nAnswer: 705130600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2400\/11*n - 194\/11*n**2 - 1152\/11 - 4\/11*n**3.\nAnswer: -2*(n + 24)**2*(2*n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 2*y**4 + 0*y**3 + (7*y - 7*y + 2*y**2)*(-27*y**2 + 144 - 144).\nAnswer: -52*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 + 3*z**3 + 26*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3*i - 7, -3*w + 9*i = 4*i - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 922120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -167500 take away 4?\nAnswer: -167504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -57. Let u = -45\/2 - -22. Let a = 1\/20 + 7\/20. What is the nearest to u in a, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15500202 to the power of 1\/2, to the nearest integer?\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g - 17*g + 3*a + 264, 3*a + 436 = -5*g. What is the common denominator of 17\/2 and g\/(-4) + (0\/1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1949*y + 1839*y - 3388*y - 4*y**3.\nAnswer: -4*y**3 + 400*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 922174.595 rounded to the nearest ten thousand?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 39, 5, -45, -117, -217, -351, -525?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.23803 + 0.06597. Which is the biggest value? (a) -3 (b) v (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -90. Let a(m) = m - 2*m + 3 - w + 1. Let o(f) = -2 + 2 + 1. Calculate a(x) + 6*o(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1806)\/3010)\/((9\/85)\/(-3)). Solve 46*x = z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/69217239 and 37\/78?\nAnswer: 138434478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9972377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1\/3, -0.1, 0.0587?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 6*c**2 - 2*c - 8. What is i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose f - 1 + s = 0. Let k be -2*f\/(-34)*-3. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718108 is divided by 505?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 + 7*c**2*g*u + 8927*c**2*u - c*g*u - c*u - 353*c - 4*g*u - 3*g wrt c?\nAnswer: 20*c**3 + 14*g*u + 17854*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 1.3. Let u be ((-4906)\/495 + 10)*6\/4. What is the smallest value in h, 0, u, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 + 2744*a**2 + 171780*a - 1765368 = 0.\nAnswer: -66, 9, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*b - 20 - 21 = 0, -5*b + 18 = 4*r. Let m(i) = r*i**2 + 0*i**2 + i + 0 + 0. Let l(n) = -n**2. Give 5*l(s) + m(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53455288 rounded to 3 dps?\nAnswer: 1.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-46 + 49 - (-2 - -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53862247*z**2 - 34736565?\nAnswer: -107724494*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(5\/40). Suppose -57 = -2*m - 5*g - 0*g, -t*m + 127 = -3*g. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1147\/12 - 433\/4. What is the common denominator of w and -37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 48 = -8*n. Let p = n - 21. Put p, -2, -1, -4 in increasing order.\nAnswer: -4, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131 or 129?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1420 and -29\/1100.\nAnswer: 78100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*v - 11*s = 939*v + 380, 3*v = -3*s - 111 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 - 6375*f**4 - 2171362*f**3 - 182415602*f**2 - 358342623*f - 178092007 = 0. Calculate f.\nAnswer: -163, -1, 6703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.812 + 0.312. Let t = 40 - 22. Put 2\/3, t, v in increasing order.\nAnswer: v, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = -y, -4*y + 0*t = 2*t - 8. Let i(v) = 8*v**2 - 1. Is i(y) 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 44159814?\nAnswer: 2, 3, 911, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -13 in descending order.\nAnswer: 4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 - 14545807*p**3 - 436374234*p**2\/5 - 872748484*p\/5 - 581832328\/5.\nAnswer: (p - 72729041)*(p + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3 + 25666554*c**2 + 55304796*c wrt c.\nAnswer: -6*c + 51333108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 - -26?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5612168471 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 25180\/783?\nAnswer: 25180\/783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:54 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(15\/(-390)*-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 51 = 4*f - 47, -2*j - 6 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - 2.1. Let z = 20.55 - 0.55. Are j and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 150129.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a - 110. Calculate the smallest common multiple of a and -1 - 2*(-12)\/8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 27 = 2*z. Let y(d) = 3*d**3 - 10*d**2 + 8*d + 9. Let f(g) = -7*g**3 + 21*g**2 - 16*g - 18. Let h(u) = z*y(u) + 4*f(u). Calculate h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*c + c + 5, i + 8 = 3*c. Let q(o) = o**2 - 168*o + 1282. Let t be q(8). Sort t, -3, i, 3 in increasing order.\nAnswer: -3, i, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 + 5*h - 3. Let k be m(3). Suppose w - p + 7 = 1, 0 = 3*w - 4*p + 17. Which is greater: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 - 3*b - 9. Let m be g(5). What is the greatest common divisor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362398 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278.83852 rounded to 2 decimal places?\nAnswer: -1278.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*l - 295*l + 12947 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 436*p + p**2 + 448*p + 433*p - 32 + 0*p**2 - 1331*p. Determine x(19).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = 97. Suppose -31*p**3 + p**2 - 3*p**2 + y*p**3 - p = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 18.\nAnswer: 55\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(45\/(-216))*(5\/(-4))\/((-45)\/72)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -233*p - 141. Let b be s(-3). Let z = b - 523. Calculate the least common multiple of z and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/((-20)\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a08a9 - 0?\nAnswer: -2a08a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**3 - 15*h**2. Let k(z) = 35*z**3 - 28*z**2 + 1. Determine -2*k(g) + 5*m(g).\nAnswer: 5*g**3 - 19*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 6823551?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*80557.\nAnswer: -40278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 4 + 5 - 2*z**4 - 4*z**2 + 0*z**4 as o*z**2 + p*z**4 + b*z**3 + v + s*z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 30*w + 5. Give t(12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, -0.7, 1161 in descending order.\nAnswer: 1161, -0.7, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**2 - 38*j + 140. Let z be y(12). Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3041 + -3005 + (-1244)\/34.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15188976 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -0.4 (b) -0.2 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6903*p**2 - 1724*p**2 - 1730*p**2 - 1729*p**2 - 1721*p**2 - 8 - 8.\nAnswer: -p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 14*i + 96. Suppose 4*q + 288*g + 70 = 291*g, -g + 150 = -8*q. Give t(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let l be r(-1). Which is the second biggest value? (a) l (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 31 = -2*w, 5*w - 2*w + w + 19 = 5*x + 3*w - w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*v - 471 + 467, -w - 9 = -v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzsezbzzs. What is prob of picking 1 s and 3 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -i - 16 - 0, 5*h - 4*i - 78 = 0. Let m(g) = g**2 + 6*g - 5. Let n be m(4). What is the greatest common divisor of h and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m + 10*m + 2 + 22*m - 4*m**3 + 9*m in the form l + s*m + j*m**2 + y*m**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2966340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -106632 divided by -26658\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (1 + -4 - -9). Suppose -3*c + 20 = h - t*c, -2*h + 3*c = -19. Let u(y) = -y**2 + 0*y**2 + 2*y**2 + h - 6*y. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - 5. Suppose c + 9 = -k*c. Let h = 5 + c. Solve 4*g + h*i + 8 = 0, 3*i - 32 = -0*g + 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 7*c**5\/20 - 11*c**4\/12 + 5*c**2\/2 + 46*c. Let m(a) = -4*a**3 + 5*a**2 - 3. Give 3*h(r) + 5*m(r).\nAnswer: r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*o**2 - 133*o**2 - 129*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 625 + -370. Suppose 9*n = 15*n - 24. Suppose n*v + q = 19*v. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20520 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 - 6*u. Let z = -12 + 16. Determine c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + (sqrt(84) - (-3*sqrt(84) - sqrt(84))) - sqrt(84) - sqrt(84)))*-3)\/(-6*sqrt(588)).\nAnswer: -3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 600574630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/511, 2\/5, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, 2\/5, 2\/511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16283625 is divided by 328.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.35453 rounded to one dp?\nAnswer: 91.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -10, 3, -3, -12387, 7 in increasing order.\nAnswer: -12387, -10, -4, -3, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, -3\/2, -75, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20310605, -40621249, -60931895, -81242543?\n\"Answer: -c**2 - 20310641*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211339?\nAnswer: 211339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 384277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 48*o**2 + 167*o + 136. Calculate l(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/3888 and 115\/111024?\nAnswer: 999216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 3*m**2 - 5*m - 7. Calculate n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzb when three letters picked without replacement from zzyzbbqzbzzqq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103100 + 23434?\nAnswer: 132034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39295703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 226 - 622. Suppose 0 = 5*i - 291 - 174. Let b = z - i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 46 - 5*c**2 + c**3 - 116 + 65 + 3*c. Give q(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide (-358)\/(-1611) - 2\/((-54)\/826653)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:34 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - c - c - 3*c**3 + 4*c - 2*c**2 to o*c**2 + b + w*c + d*c**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + 16*v + 2. What is the least common multiple of x(8) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxqqlqlqxqccqlqlcc. What is prob of picking 1 q and 2 l?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 6:27 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 3. Sort -3, 4, g in increasing order.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*b - 79*b - 84*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173464600?\nAnswer: 2, 5, 17, 163, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r + 9. Let a(p) = p - 9*p**2 + 7*p + 4 + 8*p**2 + 2*p**2. Let o be a(-8). Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7\/36*d**4 + 5\/9*d**3 + 44*d - 1\/60*d**5 + 8\/3*d**2 + 0. Factor t(l).\nAnswer: -(l - 2)*(l + 1)*(l + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r + 3*r. Put -4, 3, r in decreasing order.\nAnswer: 3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/6)*(o**(-1\/4)\/o)\/o)**40 assuming o is positive.\nAnswer: o**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64*37.44.\nAnswer: -2396.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14194210787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3))**(18\/5))**(-1\/2)*(((b*b\/(b\/b**(-1\/2)*b*b))\/b)\/b**(-3))**18 assuming b is positive.\nAnswer: b**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - a1a8?\nAnswer: -a188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19*c - 148. Let z(q) = -q - 5. Let y(v) = i(v) + z(v). What are the prime factors of y(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1048*d**3\/7 - 2180*d**2\/7 + 1216*d\/7 - 12.\nAnswer: 4*(d - 1)**2*(262*d - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217633\/7 + 801\/(-1869).\nAnswer: 2, 5, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94781.03184 rounded to the nearest 10?\nAnswer: 94780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1732\/348 + (-904)\/(-39324).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605931.3ml in litres?\nAnswer: 605.9313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32508008 and 3891.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2*f**3\/3 - 5*f**2\/2 + 2*f + 2. Let u be t(3). Let d be 1*(-2 - (2 + 1)). Put u, 2, d in descending order.\nAnswer: u, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 285\/1666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 0, -4*i = -3*y + 2*y - 12. Suppose 0 = 5*k - 7*x + 4*x - 9, y*k - 2*x = 6. Let u be 4\/(-16) - (-2)\/(-8). Is u less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58.8, -1\/2, 0.08, -6\/11 in decreasing order.\nAnswer: 58.8, 0.08, -1\/2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 236 (b) 5 (c) -30\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {h: 1, q: 3, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 + 18*v**4 - 36*v**3 + 30*v**2 - 9*v.\nAnswer: -3*v*(v - 3)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 667148?\nAnswer: 1334296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7)*(441\/72)\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**4\/24 + x**3\/6 + x**2. Let u be b(-1). Suppose 0 = -4*v + 4 - u. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6) - 0)\/(-2). Let k(o) = -o. Let r be k(-1). Let y be (-9)\/(6\/(-2)) + r. Which is the closest to 0.1? (a) y (b) -5\/6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - ((sqrt(198) - sqrt(198)*2)*1 - sqrt(198)))*-6)\/(sqrt(22)\/(-2*sqrt(72) + sqrt(72))).\nAnswer: 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d. Let v = 2 - 0. Suppose -2*x + 0 - v = 0. What is the units digit of r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*k + w, 4*w + 26 - 28 = 7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2422\/519)\/(1*2\/(-6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/4131 and -20\/81243?\nAnswer: 243729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - z + 11 = 0, -2*v + 3 + 4 = -3*z. Solve -4 = 4*t + j + j, -2*t + v*j = -22 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -373 or -386?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184918?\nAnswer: 2, 92459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhcappchppchhkkaha. Give prob of sequence cccp.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/20 and 145\/2254608?\nAnswer: 11273040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 8\/12*6*(-66)\/(-4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Suppose 2*i = -6*p + 10*p + 12, -10 = 10*p. Which is the third biggest value? (a) i (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 146546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10536 = -303*n + 742*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87418389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/12 and -31\/380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 19, 32, 49, 70, 95?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44549\/16, -4, 2\/9.\nAnswer: -4, 2\/9, 44549\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -7*u**4\/6 - 7*u**3\/6 + 2*u - 11. Let r(p) = -7*p**2 - 4*p. Determine 3*j(d) - 5*r(d).\nAnswer: -7*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445305 and 106025.\nAnswer: 2226525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9397 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*m + 100 = -321 + 125 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-22) - 126\/(-33). Let c be (-8)\/(-11)*u\/16. Are c and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97967415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1440 and -910?\nAnswer: -1310400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18144?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m + 74*m - 1144 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 1 + -3 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-191)\/(-98) - 2)*(-6)\/30. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -858647*l**3*v**2 - 5599538*l**3 - 2*l*v**3 - v wrt v?\nAnswer: -1717294*l**3*v - 6*l*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 1 (c) -0.074 (d) 2\/141 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 28. Let k be m(23). What is the third biggest value in -0.5, -2\/51, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 20 (b) 4 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4768 in 0.741, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 17*t - 26. Let c be p(2). Solve c*f + 2 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35652716 and -4.\nAnswer: -35652720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452 divided by 2.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/5*t**3 + 4\/5*t + 3\/5*t**2.\nAnswer: -t*(t - 4)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39505 and 39513 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4 - 1 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3061236*m**4 + 1975310*m + 4 wrt m?\nAnswer: 36734832*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - c**2 + 0*c**2)*(1441*c**2 + 2*c - 1442*c**2 - c - 48).\nAnswer: -2*c**4 + 2*c**3 - 96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -95407.5 to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 39*g + 133. Calculate the remainder when 161 is divided by r(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/(-3))\/((-35)\/21))\/((-25)\/2250*-12)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/32)\/(60\/672))\/16\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, -2\/5, 0.19, 6 in increasing order.\nAnswer: -2\/5, -0.1, 0.19, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14824946 to the nearest integer?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -781015?\nAnswer: 156203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 12*s**2 + 14*s + 2. List the prime factors of h(11).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3*s = -42. Solve -i + s*i - 2*i**3 + 8*i - 6*i = 0 for i.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Let v(y) = -5*y - y + 4*y - p*y. Let k(s) = -3*s**2 - 15*s - 15. Let o(i) = i**2 + 4*i + 4. Let j(h) = -4*k(h) - 15*o(h). Calculate j(v(w)).\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 2616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -i - 5*s, -2*s - 7 = 4*i - 35. Let n be (0 + -1)*(-5 + 6). Is ((-10)\/3)\/(n\/i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2) + -3 + 6. Let b = 2 + z. Let f = b - 0. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870104791?\nAnswer: 19, 45794989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439 - 431. Let y(i) = i**2 - 6*i + 5. Let o be y(6). Let k = x - o. Solve h + 1 - k = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, y: 5, l: 1, m: 1}. Give prob of picking 1 l, 1 y, and 1 v.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1693*d + 104055 = 1688*d, 260149 = 5*t - d. What are the prime factors of t?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 6105251?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.059 - -1.901. Let i = n + 0.04. Which is the third smallest value? (a) -0.4 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/((-258129)\/(-172))*12\/(-8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386040.9 years in millennia?\nAnswer: 386.0409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, z: 7, b: 5, d: 1}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 16 + 3 - (-401 + 383)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 0.2, -0.232, -8, -0.138 in descending order.\nAnswer: 0.2, -0.138, -0.232, -5\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-23))\/(2*2\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 12:08 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/2 (b) 9\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6\/(-27) + (-2156)\/3675.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54983.\nAnswer: 54983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50234.23l to millilitres.\nAnswer: 50234230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010111111110110 (base 2) in base 8?\nAnswer: -227766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 91*50\/975*101700\/14. What is u rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/17 (b) 3\/4 (c) -10 (d) -271 (e) 3 (f) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:24 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41b3 + -33b84?\nAnswer: -38177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 3478.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1433\/6 - 238. Let o = 21 - 17. Suppose -4*f - 40 = -o*q, 5 = 3*q + 2*f - 5. Which is the closest to 0? (a) 1 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 5:14 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*x = -2*x - 5, 0 = 5*b + 4*x - 37. Is (-3)\/b - 258\/(-30) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*d = 17784, -4446 = 16*r - 17*r - 5*d. Suppose 0 = 16*a + 3*a - r. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.947 - 0.053. Let k = -49.1 - o. Let q = 3 + -3.5. Put k, -0.4, q in decreasing order.\nAnswer: k, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/7 + (-3)\/7. Suppose s*i + 35 = 91. Let m = i + 15. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + (4 - (-768)\/(-9)). Let q = 85 + w. Find the second derivative of -8*o - 7*o + 11*o**5 + 11*o**5 + q*o wrt o.\nAnswer: 440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 1.13 in increasing order.\nAnswer: -1, 1, 1.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0698 + 0.06986984. What is z rounded to six dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52420000 rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*l + 76, -12*o - 195 = 76*l - 73*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2128798012 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28026.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 702*p**3 - 4*p**2 + 419*p - 823. Calculate g(2).\nAnswer: 5615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -4. Let y be ((-3)\/9)\/(1\/(-3)). Does y = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -107*k + 116*k. What is the smallest value in 2\/3, k, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3880283946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 13617624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26642*y - 26788*y - 2336 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344134 is divided by 2364.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89813273.\nAnswer: 11, 863, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -t - 11, 63 = 109*t - 114*t - 2*u for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 28 - 2 = 5*h, -5*h = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*(-21)\/189 - (-2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o. Let q be -67*7 + (o - 1). What is q rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 75*l**2 - 227*l - 1330. Determine u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 5*j**2 - 10*j + 3. Let l(b) = 2*b - 2. Let q(c) = -3*a(c) + 14*l(c). What is the derivative of q(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/54)\/((-2)\/(24\/(-4)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((1 - 3)\/(-6)*-15). Sort -35, 0.5, 0, l.\nAnswer: -35, l, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -11*u**5\/450 - u**4\/20 + 2*u**3\/45 + 4*u**2 - 38*u. Let g(w) be the first derivative of b(w). What is r in g(r) = 0?\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 163*n + 64. Let h(v) = -165*v - 65. Let m(f) = -4*h(f) - 5*s(f). Let t(a) = -777*a - 301. Let b(k) = -11*m(k) + 2*t(k). Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 6*s**4 - 4*s**2 - 4 + s**3 + 2*s**2 + 3 in the form o*s + j + c*s**3 + m*s**2 + f*s**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 268 - 537\/2. What is the nearest to 1\/4 in -3, z, 0.03, -10?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-5*s**4 + s**4 + 2*s**4) + 136*s**3 - 266*s**4 - 136*s**3 + 4*s**4 - 3*s**4 + 0*s**4.\nAnswer: -263*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-21)*(-15)\/72.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86282, 172667, 259044, 345413?\nAnswer: 431774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1348159, 1348097, 1348047, 1348015, 1348007, 1348029?\n\"Answer: n**3 - 69*n + 1348227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*i - 7. Calculate the greatest common factor of 65 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/9338 and -25\/77.\nAnswer: 102718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5466247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3232\/621 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -28*g**2 - 886*g. Let n(t) = -17*t**2 - 446*t. What is 5*n(y) - 3*o(y)?\nAnswer: -y**2 + 428*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -866040 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 762 + 498 = -140*a. What is the fourth smallest value in a, 3, -47, -4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2761 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514 + -335. Is g a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 3*r**2 - 4*r - 9. Let y be o(-4). Let g = y - -21. Let v = -10 + g. What is the smallest common multiple of v and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 9*p + 24. Let f(r) = r**3 + 7*r**2 - 10*r - 10. Let q be f(-8). What is the least common multiple of 3 and a(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29921253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-22)*(i**(-2\/5))**(-25))**(1\/7) assuming i is positive.\nAnswer: i**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 9 - 4\/14*327\/(-654)\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63797 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1121 - -1099) + (1 - -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 52, 44, 18, -32?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24151386497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5\/7 - 816*d**4\/7.\nAnswer: 4*d**4*(d - 204)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5063 is divided by 1015.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - 105. Suppose -i = i - o. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/14*1\/(-1) + 5. Which is the biggest value? (a) -3 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -832\/1097?\nAnswer: -832\/1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049853 * -2457.\nAnswer: -122.488821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11231 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 2*h**2 - 4*h + 1. Calculate the remainder when 111 is divided by n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42803653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17372.581 * -0.2\nAnswer: -3474.5162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)\/l**(-2\/19))\/((l*l*l**(-1\/4))\/l*l)**(1\/18)*((l**(2\/3))**(1\/15))**10 assuming l is positive.\nAnswer: l**(847\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 35. Let d(v) = -8*v - 16. What is 5*d(p) - 2*r(p)?\nAnswer: -24*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3767 + 3767. Let g(t) be the third derivative of -39*t**2 + k + 0*t**4 - 1\/10*t**5 + 0*t + 0*t**3. Let m(h) = -4*h**2. Determine g(m(w)).\nAnswer: -96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, i: 7}. What is prob of sequence in?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11103 - -5998. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 6*r - 1. Let p(b) be the second derivative of -7*b**4\/12 + b**3 + b**2 - 13*b. Let s(u) = -6*i(u) - 5*p(u). Calculate s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3605093275 + 19075.\nAnswer: -3605074200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/4 + 1059*s\/2 - 17136 = 0. What is s?\nAnswer: 34, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -466 + 521. Suppose -8*q - b = 1. Let y = -6 - 3. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*c = 6, 80 = -5*s - c + 70 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5596 or -5597?\nAnswer: -5597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110) + sqrt(110)*-2) + (sqrt(110) + 1*sqrt(110) + sqrt(110))*-5)\/(3*sqrt(50)\/sqrt(5) + sqrt(50)\/(sqrt(5) + -2*sqrt(5) + sqrt(5) + sqrt(5))).\nAnswer: -21*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-70) - 6088\/7. Let p = 183 + g. What is the units digit of p\/(-4) - (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u + 0*u)*(3 + 0 - 2)*((u - 5*u + 3*u)*(u - 4*u + 2*u) + 2*u**2 + 0*u**2 - 4*u**2 + 54 - u**2 - 54).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11678102094955 and -4.\nAnswer: -11678102094959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3046 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 7*x**2 - 3*x - 14. Let r be p(6). Let b = 46 - 42. Find the second derivative of -3*s**r + 14*s**4 - 3*s + s + 10*s**b wrt s.\nAnswer: 252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188510751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*y + 5*y. Suppose -15 = y*h - 65. Calculate the lowest common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/18)\/(-4)*2\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s**2 + 11*s - 9. Let w be (-4)\/(((-3)\/2)\/(9\/(-4))). What is the units digit of q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*n - n**4 + 53*n + 1 - 5*n**3 + 5*n**4 - 29*n - 24*n**2 in the form i*n + w + q*n**4 + h*n**3 + j*n**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/4 + 65*f**4\/24 - 40*f**3\/3 - 2*f**2 - 257*f. Suppose z(l) = 0. What is l?\nAnswer: -16\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 142*y\/3 + 139.\nAnswer: (y - 139)*(y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -5328660179.\nAnswer: -5328660178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 460*q**3*v**4 - 582*q**3 with respect to v.\nAnswer: 1840*q**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172568 - -172567. Let b(k) = k**2 - 2*k - 1. Let r(c) = c**2 + c + 1. Let t(z) = -b(z) - r(z). Give t(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)*-2)\/sqrt(2) + 0)*5.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -41. Let h(o) = o**2 + 3*o + 1. Let u be h(-4). Suppose -q*d - 8 = u*m - 70, 5 = -5*d. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*c + 5*j - 41, 2*c + 3*j = 27. What is the remainder when 87 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(23712\/260)*(4\/6)\/((-10)\/186)\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out -4404653780291 - 33.\nAnswer: -4404653780324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25458998 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2. Let p(f) = -f**2. Let u(n) = 6*h(n) - 11*p(n). Let q(x) be the first derivative of 20*x**2 - 217. Determine u(q(j)).\nAnswer: -1600*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1, 8, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -62. Let f = i + 87. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -139*x + 1118. What is k(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -1)*-5)**2.\nAnswer: -500*sqrt(2) + 5025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1271 - -78813\/62. Calculate the common denominator of -81\/4 and k.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896 + 1037 - 169 = 56*m + 238*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 6*i**2 - 21*i - 28. What is the thousands digit of s(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10420*h + 227738 + 95329 + 10373 = 0 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1866 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*g**3*r*u - 10*g**3*r + g**3*u**3 - 32067252*g**2*r*u**3 + g**2*r*u - 159*g*u**2 + 5*r*u**2 wrt u?\nAnswer: 6*g**3 - 192403512*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4858542623 - -3?\nAnswer: 4858542626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w - 24. Let i(q) = q + 2. Let k(x) = -2*g(x) - 21*i(x). Calculate k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 11. Let w be k(8). Suppose -2 - 10 = w*p. Let y be (-3)\/((-18)\/p)*-3. Which is the nearest to -2\/5? (a) y (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**2 + 11*v**3 - 3*v**3 + 11*v**2 wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4457 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 177, 262, 345, 426?\n\"Answer: -b**2 + 90*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y. Let v(j) be the third derivative of -43*j**4\/6 - 77*j**2. Give v(d(r)).\nAnswer: -172*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/11))\/h)**44*(h*h*h\/h**3*h)\/h*h*h*h**9*h assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6054526?\nAnswer: 2, 3027263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -44, -3970 in increasing order.\nAnswer: -3970, -44, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*r = 231*r + 6. Solve 6 = -r*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13787258*v**4 + 970354 wrt v.\nAnswer: -55149032*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 = -4*f, -3*f + 0*f + 34 = 5*x. Let s = 1 - -1. Let 6 + f*r**s + 8*r - r + 2*r = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/4 + 37498*m**2 + 4348897*m\/4 - 2249445\/2 = 0. What is m?\nAnswer: -149963, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 18. Let v be a(15). Let h(s) be the second derivative of -s**2 - 2*s - 1\/6*s**v + 0. Find the first derivative of h(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.09157 millennia in decades?\nAnswer: 9509.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620460 and 7695?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101010101101010011 (base 2) to base 8.\nAnswer: 2525523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7*i = -3*i + 12, 9 = -n - 3*i. Let j(q) be the second derivative of 0*q**3 + 0*q**2 - 2*q + n - 1\/12*q**4. Let p(a) = 3*a**2. Give p(j(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 21*h**2 - 2*h - 5. What is t(10)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*w**5 - 2*w**4 - 8838*w**3 + 546283*w.\nAnswer: -200*w**3 - 24*w**2 - 53028*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*a**3 - 212*a**3 + 56*a**3 + (2*a + a**2 - 2*a)*(-a + 2*a - 2*a).\nAnswer: -61*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-48) + (-1)\/((-12)\/51). Solve j - f + 4 = 0, o*j + 0*f + 8 = -f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1984*q**3*t**3 - q**3*t**2 + 16*q*t - 3*t**3 - 12*t**2 wrt q?\nAnswer: 11904*q*t**3 - 6*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2338*4\/(-14))\/4. Solve -q = p - 168 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2404 = 34*t + 57*t - 2768. Suppose p + 4*d + 52 = 5*p, -5*p + 65 = 5*d. Solve -1 = t*y - p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -p - 28, 0 = -0*p + p - 5. Let l = f + 18. What is the tens digit of (-392)\/l - (-8)\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (13\/(2600\/420))\/((-54)\/50).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4)\/l*l*l**(-1\/11))\/(l**1)**(25\/7) assuming l is positive.\nAnswer: l**(103\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 - 14754*n**3\/5 - 608448*n**2\/5 + 1275896*n\/5 = 0 for n.\nAnswer: -43, 0, 2, 7418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b102a6 + 4?\nAnswer: -2b102a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -19. Let q(h) be the first derivative of 1\/6*h**6 - 2\/3*h**3 + 0*h + 0*h**4 + 0*h**2 + 0*h**y - 2. What is the third derivative of q(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 91*i - 87*i - 18 = 0, 4 = 2*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -21, 0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - u - 11 = -0, -3*l - 2*u = -13. Solve 5*f - 4 = l*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 0*n**4 + n**4 + (-2*n**4 + 0*n**4 + n**4)*(-16 - 1 + 4)*(2 - 2 + 2) - 4*n**4 - 2*n**4 + 4*n**4.\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, m: 2}. What is prob of sequence xx?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*s = -2*y + 3212, -4252 = -4*y - s. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11710000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*n + 5*t, 3*n = -t + 3*t + 76. Let p = n - 28. Suppose 36 = 9*d - p*d. Solve -2 = -d*c + 2, -2*i = 2*c - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3213 + -1829. List the prime factors of h.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -417.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-118 + 119)*12\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8193 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0179 and -6.\nAnswer: -5.9821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*k - 6 = 0, 2*h - 5*h = k - 11. Let a = 3 - h. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 21. Let n be u(-15). Suppose -2*s = s - 345. Let f = n - s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5613340956 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, -60, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315047823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**2 + o. Let y be s(-2). Let a = y + 101. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x, 2*x = 4*y - 6 - 0. Solve -5*r = n + 23, -y*r + 0*r - 14 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/10)\/((-18)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -538 - -516.1. Let o = x - -21.8863. What is o rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 3 - 3)*(-5 + 3 + 1) + (-5*x + 4*x + 0*x)*(9*x + 2 - 4 - 2).\nAnswer: -8*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4521 and -133\/151248.\nAnswer: 1663728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60.71 + 61.71. Which is the nearest to -0.3? (a) -1\/9 (b) -451 (c) l (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694662 is divided by 342.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102180 and 818430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -333*g - 9. Let t be y(-2). Suppose 7*b - 351 = t. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -162967, -162878, -162789?\n\"Answer: 89*y - 163056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*u - 25 = 0, -5*b + 12 = -5*u - 3. Sort -1\/238, -4, b, 2 in decreasing order.\nAnswer: 2, -1\/238, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2317 - 1907 = -35*q + 3266. What is the remainder when 1298 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, 16, 40, 52, 40, -8, -104, -260?\n\"Answer: -2*d**3 + 12*d**2 + 2*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/2453335 and -5\/616277752?\nAnswer: 3081388760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 13172?\nAnswer: 144892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1. Let o(l) = 2*l - 4. Let t(x) = g(x) + o(x). Let h be t(7). Differentiate h + 1 - 6*d**4 + 5*d**4 with respect to d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -7677.5749?\nAnswer: 153.551498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000317082 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409499?\nAnswer: 409499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*v, o + 3 = -1. Let b(l) = -6*l - 8. Let s be b(v). Let a be (-1*4)\/(-3 + 2). Solve -4*f + 5*j = 26, 0 = a*f + f + 2*j + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t\/t**(-2\/11))*t)**25*(t*t**(1\/10)*t*t)\/(t*t*t**(-2\/5)\/t))**31 assuming t is positive.\nAnswer: t**(15655\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((4\/(-6))\/((-208)\/(-78)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-228)\/(-23) + (-44)\/(-506) + -6. Solve -22*j = k*j - 130 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 + 53 = -4*m, 10 = b - m. Let w be ((-3)\/b)\/((-1)\/3). Let d(o) = -3*o**3 - 2*o. Let p(f) = -f - 1. Let x = 734 + -736. Give w*d(h) + x*p(h).\nAnswer: -3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 45*s + 91. What are the prime factors of y(40)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/(-5))\/(2\/(-10)). Let m(a) = a**3 + 6*a**2 + 8*a + 107. Let w = -367 - -360. Let d be m(w). Calculate the greatest common divisor of h and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 25 = 3*q, 0 = -4*q + 3*v + 7 + 24. Solve q*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 778 + -749. Let q(n) = -8 + m - n - 14 - 7. Let r(x) = x**3 + 6*x**2 - 7*x - 3. Let c be r(-7). Determine q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402056 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -73, -98, -129, -166, -209, -258?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -46.1. Let m = -12 + c. Sort m, -3\/4, 4 in decreasing order.\nAnswer: 4, m, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3658746 and 1092?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44630 divided by 5\nAnswer: 8926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(104)*1 + 2*sqrt(104)*-1)\/((-5*sqrt(32) + sqrt(32))*-1*-5).\nAnswer: -sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*s, 5*v - v - 2*s = -22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 4*v + 108. Suppose 393 = 23*c + 61*c - 783. Suppose -17*k + c*k = -v. What is the lowest common multiple of 36 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 30 = 3*d + 15, 0 = 3*d. Suppose 0 = 35*a - 37*a + 20. Solve 2*w - w = -3*c + a, 5*c = -l*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -0*f - f. Let t be (-3)\/(f + (-6)\/4). Let n(c) = -3*c**2 + 5*c + 2. Let a(l) = 48*l**2 - 81*l - 33. Let u(r) = 2*a(r) + 33*n(r). Calculate u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8620986 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose -4 + 2 = 2*s. Let x = 7 + s. Solve -4*z = 4*f + 24, x*z - 3*z - b = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 17*j + 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -1\/6*o**4 + 46*o + 0 - 19\/14*o**7 + 0*o**5 - 1\/15*o**6 + 0*o**3 + 63\/2*o**2. Find the third derivative of f(r) wrt r.\nAnswer: -3420*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 15. Let z(b) = b**3 - 4*b**2 + 3*b + 4. Let i be z(x). What is the nearest to -1 in -4, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 - 10*t - 15. Let d be g(-2). What is the greatest common factor of d and 5831?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - (sqrt(52)\/sqrt(4) + 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4\/6 - 15*f**3 - 55*f**2\/2 - 40*f\/3 = 0?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22288*i**3 - 3*i**2 + 21499 wrt i?\nAnswer: -66864*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*5\/20)\/((-1)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 428, 436, 458, 500, 568?\n\"Answer: c**3 + c**2 - 2*c + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110.9 + 108.9. What is the closest to 2\/9 in 2, q, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 22*x**2 + 115*x + 43. Let v be p(-14). Let s(i) = -75*i**2 + i - 1. Give s(v).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514137 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 2, 1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -584 - -373 - (-98 - 16)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12\/(o*o**(2\/17)*o*o))\/(o**6\/o**(-15)) assuming o is positive.\nAnswer: o**(-206\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.12124 millennia to months.\nAnswer: 889454.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(32) - sqrt(8)) - ((sqrt(224)*-1)\/sqrt(4) - sqrt(56)))\/((sqrt(3872)*1)\/sqrt(4)).\nAnswer: 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 120132?\nAnswer: 120133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/162 and 121\/48.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -22*4\/(-24) - 3. Which is greater: u or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000371268 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k - 299 - 1313 = -42*k - 114*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.83336 - 368.99664. Let n = -370 - v. Put 4, 3, n, 1\/5 in increasing order.\nAnswer: n, 1\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2135605, -2135607, -2135609, -2135611, -2135613, -2135615?\nAnswer: -2135617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 - -217. Let w be (-1)\/7 + (-30)\/(-14). Calculate the remainder when r is divided by 12 - (-2 - (-2 + w)) - -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78660.9189 rounded to the nearest 10?\nAnswer: 78660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2242 - 1?\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d**3 + 2*d**3 - 15*d**3 + (2 - 3 + 2)*(0*d**3 + 4*d**3 - 5*d**3) + (-2*d - 3*d + 6*d)*(9*d**2 - 3*d**2 - 17*d**2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 - 4*j + 3. Let n be c(3). Find the common denominator of -61\/22 and 0 - 285\/n - -1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664279255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153)*4 + -6*(2*sqrt(153) + sqrt(153) - sqrt(153)))*2)\/(-5*sqrt(36)\/(sqrt(8)\/(sqrt(2)*2))).\nAnswer: 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24208 (base 9) in base 5?\nAnswer: 1004313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105308666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -134, -26\/7, -3\/4, 4533 in descending order.\nAnswer: 4533, 2, -3\/4, -26\/7, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4716901 is divided by 1051?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899685998?\nAnswer: 2, 163, 197, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/18)\/(1\/124)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48510 and 462?\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a**3 + 6*a**2 + 23*a. Let r(s) = 7*s**3 - 3 + 2*s**2 + 7*s + s + 3. Determine -6*o(q) + 17*r(q).\nAnswer: -q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80)\/sqrt(4))\/(sqrt(216)\/sqrt(6)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 908\/(-2497) - (-57)\/66 - 302\/(-36) - 8?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 475 = -5*r, 5*r + p - 101 = 4*r. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176880*1\nAnswer: 176880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 31. Calculate the least common multiple of d and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 26 - 19*r - 79 - 2*r - 7*r**2 + 6*r. Let h be o(-6). Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 + -6c1?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 2571.\nAnswer: 34\/2571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -48, -60, -64, -60?\n\"Answer: 4*g**2 - 32*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4)*-14*(-7 + 8). Let q = l - -4. Let m be (6\/1)\/(3\/(-4)). Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1034?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 141. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let q(o) = -2*o**2 - 702. Give q(u(p)).\nAnswer: -8*p**2 - 702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 - 184 = x + 6*z, 4*z - 8 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19772\/6507 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c + 2. Give b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -9. What are the prime factors of (w\/2)\/(4\/(-104))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let z be c(2). Let r be 2*(z + 63\/(-6)). Let b = r - -20. Solve 2*g - 3*v + 11 = 0, b*g + 4*v - v + 17 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uagauoopapaug. What is prob of sequence upuu?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-2*k**3 - 3*k + 3*k) + ((1 - 1 + k)*(2*k - 4*k + 4*k) + 3*k**2 + 0*k**2 + 0*k**2)*(111 - 111 + 4*k).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from djhhdjhhhhndhhhjhj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00924697 to four dps.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 15\/(-2). Suppose 0 = 3*v + 20*v + 69. Let x(o) = -5*o**2. Let i(h) = -2*h**2. What is b*i(y) + v*x(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 262935591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2323033 (base 4) to base 11\nAnswer: 9004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/257 + -488\/3341. What is the third smallest value in r, 40, 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by -30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32130 + -32050. Solve 10*k - x = -0*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 13 = -7*w - 3*a, -2*w + 3*a = 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from yyp.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j + 5. Let h(b) = 8*b**2 - 34*b - 39. Determine 6*h(t) + 51*q(t).\nAnswer: -3*t**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Suppose v - 19 = -3*o - v, 5*v = -a. Suppose o*h - 9800000 = 5*h. What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:43 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0)\/9*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-10)*(-700)\/(-40). Let t = f + 23. Suppose 0 = -4*i - 0*i. Solve i = 3*o - t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 equal to 48\/418057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(3 - (-568)\/(-190)). Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -79, -122, -151, -166, -167?\n\"Answer: 7*j**2 - 78*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 7, -0.08, -3, 165, 2\/9, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, -17, -1, 17?\n\"Answer: y**2 + 11*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - 2*3\/(-2). Let g = 15 - n. Let h(k) = -k + 6*k - g*k. Let r(d) = -d**2. What is r(h(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 10}. Give prob of sequence oohh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4529.\nAnswer: 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9\/5 - 143\/85. Which is smaller: a or 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8602 and 73\/70530328?\nAnswer: 1199015576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) 6 (c) 4 (d) 23\/49 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 592529096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 4 + 4)*(2*k**3 + 2*k - 2*k) to z*k + f + i*k**3 + n*k**2 and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45653400 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p. Let g(d) be the third derivative of -d**5\/60 - 5*d**2. Give g(u(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + c = -293, 4*c = 5*y - 331 - 1137. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t - 11*t + 280 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412551413*w**2 - 394065761 with respect to w.\nAnswer: -825102826*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 - 162 + 2*y**2 + 163 - y + 0*y**2 + 0*y**2. Determine j(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5 + m**2 + m + m + 3. Let h(v) = -2*v**2 + 5*v - 4. Let a be h(3). Does 11 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 40*h - 268062 = -929902. List the prime factors of h.\nAnswer: 2, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + 620?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 30*o - 30922 = -4*t, -4*t - 5*o + 30898 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 14*z**2 - z - 13. Let k be p(-14). Let m be ((-6)\/(-150))\/(k\/5). What is the nearest to -2 in m, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 4. What is g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 38. Let i(r) = 2*r**2 + 3. Let z be 17\/3 + 22\/(-33). Let c(a) = -5 - 872*a + 872*a - z*a**2. Calculate f*i(p) - 3*c(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52534 is divided by 491.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4073 = -3*y - 18513, 2*t - 4*y = -14440. Does -7221 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1240*o**2 + o - 1. Suppose 3*m + 1 - 4 = 0. Let g be t(m). Round g to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let w = g + 1. What is the units digit of 15\/(-10)*2\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.035, -0.4, 3\/5, 3, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173671866, -347343730, -521015594?\nAnswer: -694687458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from iiiidttsidtdi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 - 0.01. Let z = 347.4 - 347. Let f be 10\/100*5\/(-2). What is the third smallest value in f, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 8*v + 10*v)*(3 + 3 - 4 + 2*v).\nAnswer: 40*v**2 + 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398767491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-5*sqrt(76)*-1 + (sqrt(76) - (sqrt(76)*1 - sqrt(76))*-2)))\/(-4*sqrt(36)\/(sqrt(9) - (sqrt(9) - sqrt(144))*-1)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 2*v**3 + v**2)*(-2*v - 2 + 2) + 0*v**4 + 3*v**4 - 2*v**4 + (8*v**3 - v**3 - 3*v**3)*(0 + 0 + 4*v) - 2*v**4 - 10*v**4 + 2*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -1 - ((1 - 0) + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/60 - b**4\/8 - b**3\/6 + 2*b**2. Suppose 2 + 2 = 2*q + g, q - 2 = -4*g. Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6167 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34624472 is divided by 176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5581\/65 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -71. Suppose -3*v = v + g. Let z = -6 - v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 17*j - 16. Solve -3*s = 2*c + 20, 2*c + j = -3*c + s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699339?\nAnswer: 53, 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*x - 10, -x - x = 3*y + 11. Let o be -1 + 2 - (14 + y). Let s be (-1)\/(-2)*(-180)\/o. What is the greatest common divisor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, m: 4, y: 1, q: 2, e: 2}. What is prob of sequence yem?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-404) - (-1 - 127645) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -557*g + 1651*g - 545*g - 547*g. Let a(x) be the second derivative of 0*x**2 - 73\/6*x**3 - 3*x + 0. Give a(c(k)).\nAnswer: -146*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -12. What is the second derivative of 6*x + 4*x + 5*x**5 - o*x + 7*x wrt x?\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let c(b) = b + 26. Let p(a) = -5. Let y(d) = 2*c(d) + 11*p(d). What is -4*h(g) - y(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2. Let p = 6043 + -6043. Let m(w) be the first derivative of p*w - 44 + 0*w**2 - 2\/3*w**3. Determine m(f(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 43*t**2 - 43*t**2 - t**3 - t**4. Let o(r) = 26*r**4 - 2*r**3 + 2*r - 32. Let k(z) = 2*j(z) - o(z). Differentiate k(a) wrt a.\nAnswer: -112*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (1*(sqrt(2736) + 0) - (sqrt(2736) + (2 + sqrt(2736) + sqrt(2736))*3 + sqrt(2736)))))**2*2*-1.\nAnswer: -268136 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1495110 and 19608?\nAnswer: 5980440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n + n)*(-1111 + 78*n + 1111)*(0 - n**2 + 0) - 3*n**4 - 2*n**4 + 2*n**4.\nAnswer: 153*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 815 + 149 + 857 + 82 + (-2 + 7 - 3)*(3 - 3 + 3))*(1 - u**2 - 1).\nAnswer: -1885*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 5*m - 9*m - 16, -3 = -3*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**3 + 2*v - 7*v + 5*v + 213*v**3.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109975\/9 + -12207. Let m(c) = c**3 + 10*c**2 + c + 23. Let v be m(-10). Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 - 3*g**3 - 4 - 33*g + 32*g as y*g + w*g**3 + f*g**2 + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 94, 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-16)\/78)*83\/(-15106)*252.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 249 in decreasing order.\nAnswer: 249, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/3 - 64*p**4\/3 + 90*p**3 + 40*p**2\/3 - 1112*p\/3 + 288 = 0. What is p?\nAnswer: -2, 1, 2, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.7 and 3414?\nAnswer: 3408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.8. Let z = -1.29 - -0.29. Sort y, z, 1.\nAnswer: z, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477279 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -29. Suppose w = 4*n - 0. Calculate the greatest common divisor of 176 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {s: 1, e: 1, j: 5, p: 1, g: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let x(j) be the third derivative of 0 - 3*j**2 + 0*j - 1\/6*j**3. Let l(v) = -2*v - 8. What is k*l(w) + 8*x(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 45. Let h(a) = 4*a - 46. Let j(v) = 5*h(v) - 6*u(v). Let q be j(9). Does 5 divide 5\/q - (-1935)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-18))\/(6456\/508410)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -17, 3, 8\/363, -2\/13?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3198733 and 6?\nAnswer: -19192398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10486 times -2\nAnswer: 20972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25046, -25044, -25042, -25040?\n\"Answer: 2*z - 25048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 886569447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**4 + 3*q**2 - 3*q - 1. Let h(a) = -a**4 + a**2 - a. Let s(p) = 3*h(p) - t(p). Differentiate s(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41+50590.21\nAnswer: 50549.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 11, -1, 3, -2, 0 in decreasing order.\nAnswer: 11, 3, 0, -1, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -20041403?\nAnswer: -20041344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*x = 24, 0 = -2*a + 22*x - 27*x + 31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dii when three letters picked without replacement from {d: 4, i: 4, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -3*n + 210, 7 = -122*n + 117*n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -80.71. Let r = j + -0.81. Let n = -6.099882 - r. What is n rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -0.1029\nAnswer: 1.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q)*(6 - 4 + 2)*(-10*q + 10*q + 23*q**3).\nAnswer: -92*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*s = -2*w + 6, -5*w + 3 = -2*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(-19)\/v)\/v)\/v*v*v)\/v)\/(v*v**(-2\/5)*v*v))\/(v*v**(3\/7))**(-32) assuming v is positive.\nAnswer: v**(774\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -315, -459, -603, -747?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 6 - 18 - x - 30.\nAnswer: -x - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629997 is divided by 310?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*s - 175*s + 109*s + 954*s + 26941 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**1\/z)\/z*z*z\/z**(3\/4)*z)\/(z**(-1))**(-35) assuming z is positive.\nAnswer: z**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 12 - 9 - (0 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 5)*(2 + 4 - 5)*(0 + 0 - 2*n**3).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 6. Is i(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/19)*f**(-16)*f)\/(f**40*f**3))**49 assuming f is positive.\nAnswer: f**(-54194\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -16662 and -16657 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26670607 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00122679576 rounded to 5 dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4046935 to the power of 1\/2, to the nearest integer?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 - 10*z + 126. Let q(x) = 7*x**2 + 12*x - 157. Let m(a) = -4*q(a) - 5*t(a). Determine m(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:48 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 9*m + 636 = z, -3*z = 3*m - 1953. Let k = z - 644. Solve k*l + d - 2*d = -10, 3*l = d - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1110*x**3 + 15*x - 378. Let g(l) = -3336*l**3 + 40*l - 1133. Let d(k) = 8*b(k) - 3*g(k). Differentiate d(m) wrt m.\nAnswer: 3384*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*c**3 + 31*c - 11*c - 9*c - 11*c.\nAnswer: 548*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/220)\/((-3812)\/(-85770))\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83572266600062 minus 0.2?\nAnswer: -83572266600062.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15473356471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd - -3?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 12 = 4*o + 3*b, -5*b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15345277 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*x + 60 - 82, 27 = -4*x - 3*u. What is the fourth biggest value in 0.5, 0.4, x, -0.02?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*z + 4*h, 5*z - h + 3*h = 2. Let l be 33\/(-11)*(0 + (-14)\/6). Suppose z = -3*b - 12, -3*b - 12 = l*w - 2*w. Solve w*q = 2*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 325*m - 2024. Determine z(-58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 44. Suppose 1 = -2*g + l. Suppose -1 = n - 3*a + 6, 0 = -4*n - a + 11. Sort g, n, -3.\nAnswer: -3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/((v*v\/(v*v*v\/v**26*v*v)*v)\/v))\/v*v**(-3\/2))\/(((v*(v**(-18)*v)\/v)\/v)\/v**(-17)))**29 assuming v is positive.\nAnswer: v**(-1247\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 46. Let f(c) = -c + 1. Calculate a(m) - 3*f(m).\nAnswer: 3*m + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7467989*l**2. Let s(h) = h**2. Determine s(c(a)).\nAnswer: 55770859704121*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 7594 + 23*x**2 - 27*x**2 - 7567.\nAnswer: -4*x**2 + 5*x + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747295 less than or equal to 1747298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -1507*z + 1494*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (46\/12 - 4)\/(4\/(-6)). Let i(v) be the first derivative of -k*v - 1\/2*v**3 - 1\/2*v**2 - 1\/4*v**4 - 1\/20*v**5 + 4. Determine b, given that i(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*l + 59, 284 - 459 = 5*l + 24*d for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - 0. Let o(v) = -v**2 - 9*v. Let n be o(u). Suppose 0 = -n*z - z. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 263*f**2 - f + 2. Let p be o(1). Suppose -3*c + 4*c + 3*m - 39 = 0, 101 = 4*c + m. What is the highest common factor of p and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 246*t**5 + 29*t**4\/4 + 1174*t. Find the third derivative of b(j) wrt j.\nAnswer: 29520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 34 = -3*h, i + 9 = 5*h. Find the third derivative of i*q**2 - 29*q**5 - 6*q**2 + 8*q**2 wrt q.\nAnswer: -1740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawwwkdkjw. What is prob of picking 1 a, 1 w, and 1 j?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19178, 20267, 21356, 22445, 23534?\n\"Answer: 1089*m + 18089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 10 + 5. Let q = y - -21. What is the units digit of (-92)\/(-9) + (-4)\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16779 and 5712.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3250 + 21213?\nAnswer: 13523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21024 greater than 22053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -0.5. Let x = 12.17 - 13.17. Which is the closest to x? (a) 1\/3 (b) d (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089305992 to 6 decimal places.\nAnswer: 0.008931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Suppose -5*h - 6*x + 2*x - 25 = 0, h = -3*x + 6. Let a(r) = -19*r - 9. Let b(f) = 5*f + 2. Let i(k) = h*b(k) - 2*a(k). Determine i(p(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1493 + -708. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 - 2163*h**2\/4 + 1149423*h\/4 + 838798983\/4.\nAnswer: -3*(h - 621)*(h + 671)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299 by -632381.\nAnswer: -299\/632381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 1874200429.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.14 (b) 14998 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:42 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17864*k**2 + 14070*k**2 + 3791*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1022827909 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + k**2 - k - 4. Let h be d(0). Let m be ((-2)\/h)\/((-2)\/(-8)). What is the second derivative of -2*p - 2*p**m + 2*p**2 - p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -696, -1174, -1950, -3024, -4396?\n\"Answer: -149*g**2 - 31*g - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 13356?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255268866 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89470253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ba - 0?\nAnswer: -3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321.9797 + -0.0203. Let j = g - -158. Let l = -164.000178 - j. Round l to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8)*(-8)\/21. Let r = -5 + 4. Let h = 78.1 + -78. What is the closest to 2\/7 in q, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppodpppop. Give prob of picking 2 p.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + m - 25 = 0, -m = 3*g + 4*m - 37. Let h(n) = 4*n - g*n + 2*n - 5*n. Let b(w) be the third derivative of w**4\/12 + 3*w**2. Calculate b(h(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -24*l - 2. Let k be m(-3). Let s be -16 - ((-462)\/6 + 180\/(-30)). Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17554.4 - -17458. What is the smallest value in 6, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4440 + 4440. Let x(q) = q - 5. Let f(g) = -g + 4. Let z(d) = 4*f(d) + 3*x(d). Give z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 7*b - 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 4*w + 9. Suppose 8*b - 15 = -47. Does 12 divide t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 20. Suppose -5*f - 7*f**5 - x*f**4 + 0*f + 3*f + 4*f + 5*f**3 + 9*f**2 = 0. What is f?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*x + 18, -5*g - 3 = -x - 29. Suppose -9*s = -g*s, -3*j - s = -6. Solve -j = 5*p - 7*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from dbbbbbwbdikiki?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from {q: 4, d: 3, e: 1, n: 2, b: 2}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4\/3 - 1656*g**3 - 2308228*g**2\/3 - 158492448*g - 36640085056\/3.\nAnswer: -4*(g + 284)**2*(g + 337)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 6*a**2 + 7*a + 7. Let k be i(7). Suppose 0 = r + 4*r - 15. Suppose -l = m + 5, -r*l + 4*m - 17 = -2. Sort -2, l, k in ascending order.\nAnswer: l, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/86856 and -101\/2310?\nAnswer: 434280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/23832 and 65\/1224?\nAnswer: 405144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 799801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202098056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 6*h + 2*h + (-1 + 2 + 1)*(2 - 2 - 2*h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -37*l + 21. Let z be a(-3). Let b = z + -61. Calculate the least common multiple of b and 2.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/6 and 2\/627?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112420103 and 236371.\nAnswer: 10277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 13*b + 53. Calculate d(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8954)\/22*21\/77\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/675 and 13\/65231325?\nAnswer: 65231325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (84 - -2 - (46 + 7 - 45)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (12 + (-6 - 11) - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 39079.17cm?\nAnswer: 390791.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2448)*4)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:30 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 562668*i**2 + 7876911*i - 27568674.\nAnswer: 3*(i - 187542)*(i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 5714.408.\nAnswer: 5643.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from {j: 7, n: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3295 + -3294.4. Which is the nearest to -1? (a) 2\/3 (b) g (c) -0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*q + 41, 2*z - 36 = -0*q - q. Calculate the highest common factor of z and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040043 (base 5) to base 4.\nAnswer: 10123210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -330752 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 3*s**2 + 1. Suppose 2*u = i + 58, 3*u + i = 2*i + 88. Let k be (-2)\/(-6) - u\/(-18). Give q(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -21, -2\/9, -2\/17, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 4. Let k be n(-4). Suppose k = -0*h - 3*h - 45. Let b = h - -17. Solve 2*g = -0*g + b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = -3*q + 2*l, 3*l + 20 = 2*q. Solve -3*k = q - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/27*(-2)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*u - 46 = -322*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 323575 divided by 64715\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6618110.3399746 - 6618111. Let h = p - -0.66. Round h to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9214 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*o - 5*o**4 - 31*o**3 + 115*o**3 + 7*o**4 - 122*o in the form z*o**2 + h*o + x + j*o**4 + p*o**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:00 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 495755582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -173*b**4 + 5*b**3 + 10*b**2 + 5*b - 3719. Let x(a) = 173*a**4 - 4*a**3 - 8*a**2 - 4*a + 3744. Let f(t) = 4*o(t) + 5*x(t). Differentiate f(c) wrt c.\nAnswer: 692*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**4 - 22*b**3 + 6*b**2 + 18*b + 2. Suppose -7 = -26*a + 19*a. Let x(k) = k**5 + k - 1. Let c(p) = a*n(p) + 2*x(p). Let c(l) = 0. What is l?\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 108*s**2 + 1306*s + 115. Give d(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -30) + (1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/24 - 3*p**3\/2 - 8*p**2. Let w be g(9). Solve -3 = t - w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-4 - ((5 - (20 - 12)) + 38))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -701.0156 - -0.0156. Let r = 706 + k. Which is the nearest to -1? (a) 0.4 (b) r (c) 0.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 22*s**3 + 16*s**2 + 4*s + 7. Let q(z) = -7*z**3 - 5*z**2 - z - 2. What is 7*q(d) + 2*r(d)?\nAnswer: -5*d**3 - 3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 times -973.89\nAnswer: 3506.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2254*j**2 - 144244*j - 765. Determine n(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2066 by 59460.\nAnswer: -1033\/29730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 6*g - 3*g)*(g - g + 2*g) - 2 + 2 - 2*g**2 + 11273 - 5637 - 242*g**2 - 5638 + (-6*g + 2*g + 3*g)*(-g + 1 - 1) as p*g**2 + y + b*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84003*x + 21*x**2 - 167977*x + 83974*x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -2 (c) -122 (d) -29 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3926235*n + 3260729?\nAnswer: 3926235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.74 and 366.8.\nAnswer: 366.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/14*4844\/(-346) + (-102)\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 4879586*y + 5952589882849 = 0. What is y?\nAnswer: 2439793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 4*k - k as o + p*k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-21)\/(-6)) - (-12 - 28 - -69)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*t**2 - 8*t**2 + 5*t**2 in the form o*t**2 + b*t + l and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 972 = -2*b, b - 61 = -5*w - 1694. Are -326 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -450 + 367. Let k = t + 83.0000031. What is k rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19820 by -19820.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvfbnddndj. What is prob of sequence fj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -26*b. Let z(s) = -77*s. Give -8*i(k) + 3*z(k).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4238.859 years to decades.\nAnswer: 423.8859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3010.8 + -3011.8. Which is the closest to 9? (a) 4 (b) -8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 874.8126ml?\nAnswer: 0.8748126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/567091 and -73\/3402546?\nAnswer: 3402546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12*x**(8\/5))\/(x**4)**(3\/4) assuming x is positive.\nAnswer: x**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/80 and 26\/195695?\nAnswer: 3131120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 9:55 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1136169, -2272363, -3408557, -4544751, -5680945, -6817139?\n\"Answer: -1136194*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7372.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1)*(-152)\/(-266)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:47 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*o + 144*o = -93*o - 184 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/5, -15\/2, 16, 5.\nAnswer: -8, -15\/2, 2\/5, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*(sqrt(91) - (sqrt(91) + -2*sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91))) + sqrt(91))*-2)\/(sqrt(308)\/(2*sqrt(11)) + sqrt(28)) + 0.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 14 = -2*b. Suppose 104 = -5*v + b*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcjr when four letters picked without replacement from chjhhrahwajhja.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.051 (c) -43 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 55*v**2 - 2*v + 1. Let f(i) = -3*i. What is n(f(w))?\nAnswer: 495*w**2 + 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8)*(-2)\/(-3))\/((-169)\/(5797376\/(-2680)))\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2330792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4508*n - 4 = 2*d - 4509*n, 3*d = -4*n - 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouobobuombuw. What is prob of sequence umbb?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/81, -2\/25, 0.3 in increasing order.\nAnswer: -1, -2\/25, 2\/81, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-182) - 5\/35. What is the nearest to 0 in b, 2\/5, -0.6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1540692*d**2 - 499283 wrt d.\nAnswer: -3081384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a year in months?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 22*d**2 - 131*d + 4140. Is p(36) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 107 = 5*z. Solve 10*y - y = -z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let v(r) = 219432*r. What is z(v(u))?\nAnswer: 48150402624*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**2 + 2*d + 4*d**3 + 33 - 10 - 19 - 28*d**3 in the form p*d + o*d**2 + s + q*d**3 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 31 = -t + h, 43 = -3*t + 4*h. Let g = t + 14. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 1118, 2504, 4444?\nAnswer: 6938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 5*n - 50. Calculate the greatest common divisor of 336 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 14 = p. Let h = -64 + p. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**5\/7 - 237*n**4\/7 - 5013*n**3\/7 + 11181*n**2\/7 + 5010*n\/7 - 10944\/7 = 0?\nAnswer: -19, -1, 1, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175740 is divided by 725229.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010 (base 2) to base 11.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 49 - 14)*(-107 - 96 + 20)*(-3*t - t + 6*t) to j + h*t and give h.\nAnswer: -13908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, y: 6}. What is prob of picking 2 g and 2 y?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 6*d - 8. Let r(t) = 4*t**2 + 10*t + 178. Let l(j) = -7*j**2 - 19*j - 319. Let b(u) = 5*l(u) + 9*r(u). Determine -4*b(n) - 3*w(n).\nAnswer: 2*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c + 125*c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 23. Suppose 5*m - 4*l = -9*l + 70, -5*l + k = 3*m. What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -71. Let q = -17 - n. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -65, 12, -13, 5 in decreasing order.\nAnswer: 12, 5, 0, -13, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 + 30*g**3 + 45444*g**2 + 24*g - 45495*g**2 + 0*g**4 = 0 for g.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**2 + 3*a**2 + 2*a**2 + 10*a + 9 + 4*a**2. Let s be m(-9). Suppose -248 = -2*y - s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/70*6)\/((-84)\/(-30))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 672 + 1159 - 107 + 58*q - 56*q + 39 in the form y + c*q and give y.\nAnswer: 1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 5*d - 12. Let i be q(7). Solve 3*z + 6 = -i*y, -3*z + 1 = 3*y + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 66197.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1854 + -1855. Let p = -3.3 - -0.3. What is the second smallest value in p, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and -0.4?\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 87*f + 203 - 195\/4*f**4 + 0*f**2 + 0*f**3. Differentiate w(r) wrt r.\nAnswer: -585*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 0 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2391*q**2 - 540447*q\/2 - 9153\/2.\nAnswer: -3*(q + 113)*(1594*q + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18041596 and 4988.\nAnswer: 18041596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 24 = -5*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-2))\/(-2 + 8\/2). Let i be -2*m\/1 - -3. Let k(y) = -12*y**3 + 2*y + 1. What is the remainder when 65 is divided by k(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/14)\/((4\/(-2))\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 3:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 0*j + 5*j - 3*j**3 in the form x + d*j**3 + c*j + r*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41219 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 5064.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*d = -11, -20 = 5*y - 98*d + 101*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -3. Let i be d\/(104\/116 - 1). Suppose -5 = -2*v + i. Calculate the remainder when 65 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 18?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3454.856us to milliseconds.\nAnswer: 3.454856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*g - 472 + 219 + 220)*(2 - 4 - 3)*(2*g - 4 + 4).\nAnswer: 310*g**2 + 330*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 9) in base 10?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 14*y**2 - 18*y - 4. Let d be k(12). Suppose 7*j - d = 3*j. What is the remainder when 64 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -15*q**5 + 6396*q**4 - 683082*q**3 + 268380*q**2 + 408321*q = 0.\nAnswer: -3\/5, 0, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4886127403 - -0.296?\nAnswer: -4886127402.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*r - 3*r - 300, -5*u = -r - 753. List the prime factors of u.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-21))\/(45\/(-63))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 21 = -11. Let n(x) = -u - 6 + 52*x + 17*x**2 - 63*x + 41*x. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*(-3)\/(18\/8). Find the common denominator of (165\/y)\/(-3) - -1 and 9\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*q = 705 + 7332 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(325)*2.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 5*f**2 - 3. Let d = 87 - 86. Let z be i(d). Let h(j) be the second derivative of 2*j**3\/3 - j. Calculate h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20020\/1452)\/(-91)*-6.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 5*h - 5*h)*(-9*h + 1 + h - 10*h).\nAnswer: 180*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 5320?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3590 = 82*o + 277*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2516\/42 + (86\/21 - 4). Let t be (-1 + 1)*-1 - 2. Let y be v\/(-8) - 1\/t. Let m(h) = h + 2. Determine m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2308\nAnswer: 3\/2308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let w(o) = -o**3 + 6*o**2 - 4*o + 6. What is the smallest common multiple of 18 and w(p)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-5)\/20). Sort p, -0.3, 0.1 in ascending order.\nAnswer: -0.3, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-6 - -7)) + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.5, -8.16, -13\/59 in increasing order.\nAnswer: -12.5, -8.16, -13\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10)\/(4\/40). Let q = 13 - f. Let l(z) = 8*z**2 - 3*z**2 + z**3 - 2*z**3. Determine l(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/7 + 208*p\/7 + 4958\/7 = 0.\nAnswer: -67, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/30623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 251348.3805 to the nearest one thousand.\nAnswer: 251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 17*s**2 - 29*s - 12. Let c be y(15). Solve 5*p**3 - p**c + 4*p**3 - 3*p**3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -717*x**4 - 27*x**2 + 1 wrt x.\nAnswer: -17208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times -0.32?\nAnswer: 23.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 40089, -84, 2 in ascending order.\nAnswer: -84, -5, 1, 2, 40089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165502, 330817, 495948, 660895?\n\"Answer: -92*f**2 + 165591*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/777559 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-66)\/63)\/(2\/82) and -5\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let x be n(-4). Let z be (82\/x)\/((-3)\/(-9)). Let a = z + 477. Calculate the greatest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {p: 3, a: 2, c: 10}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(sqrt(76)\/((sqrt(20)*5)\/sqrt(5)) - (5 + sqrt(19))*5*5)*-3.\nAnswer: 372*sqrt(19) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2985033 divided by 2985033\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 + -235. Let y = 125 + z. Let g = -2 + 0. Sort g, 0.2, y in descending order.\nAnswer: y, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*t + 362 - 733 + 397 as l*t + i and give l.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.39455\nAnswer: -0.118365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 6. Let k(q) = -2*q - 2. Let g be k(n). Let a(j) = -j**3 + 6*j**2 + 3*j + 8. List the prime factors of a(g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 1\/122, -1\/6, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuuu when four letters picked without replacement from {u: 12, z: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -110725, -221441, -332147, -442837, -553505, -664145?\n\"Answer: u**3 - u**2 - 110720*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -15*s + 104. Calculate m(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 490c?\nAnswer: -4919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 97841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 37.42. Let c = t - 0.6. Let r = 1.7 + -2. What is the second biggest value in r, c, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761172.\nAnswer: 2, 7, 31, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/(-4) - 1\/(-2). Let w = -115 - -144. Let a = w + o. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:12 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2\/7, -3, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**4 - u**3 - u**2 - u + 1. Let s(j) = -9*j**4 - 21*j**3 - 33*j**2 - 27*j. Let o(v) = s(v) - 6*z(v). Solve o(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28994294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19*r + 1101. Let w be p(-58). Put -381, 3, w in ascending order.\nAnswer: -381, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Let w be (-3 + (-4)\/(-2))*-493. Suppose -3*u - 4*s + w = t, -u - 4*s + 0*s + 175 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 3. Let c be x(12). Let t = c - -29. Suppose w - 6*w + t*m + 308 = 0, -3*m = -3*w + 183. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*n - 15 + 29 - 16 + n**3 + 6*n**3.\nAnswer: 7*n**3 - 304*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d**(-5)\/d)\/(d**(-1\/6)*d**(3\/2)) assuming d is positive.\nAnswer: d**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4 + 12*s + 19*s**2 - 5*s - 20*s**2. Let z be k(7). Let i be z\/6 - (-580)\/30. Calculate the highest common factor of 80 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11451 is divided by 5724.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 9 + 1. Let h be 138 + -6*o\/10. Suppose -5*j + h = -134. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(28)\/sqrt(4))**2 + -3 + (sqrt(112) - -2*sqrt(112)) + -2.\nAnswer: -5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 76. Let z be ((3 - -1) + 10)*-1. Let l(a) = -a + 8. Calculate the remainder when v is divided by l(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 213076 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 117*u**2 - 670*u + 696. Let p be h(110). What is the greatest common factor of 516 and p?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + b - b - 2*b - 9*b. Let a(s) = 520*s. What is a(p(k))?\nAnswer: -3120*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2\/9, -2\/17 in descending order.\nAnswer: -2\/17, -2\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -5\/12 (c) -3\/4 (d) 5 (e) 3 (f) -2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 7 + 28 + -48 + 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:37 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 488, 978, 1468, 1958, 2448?\n\"Answer: 490*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37135*g**3 + 219801*g wrt g?\nAnswer: -222810*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217 + -205. Let t be (v\/15)\/(19\/570). Solve g = 4*j + 21, -5*j = -10*j - g - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365620 divided by 24?\nAnswer: 91405\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.1 plus 4.6124787?\nAnswer: 23.7124787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18257, -18255, -18253, -18251?\nAnswer: -18249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 2. Let w(v) = -2*v + 3. Let k(x) = -5*p(x) - 3*w(x). Let r be k(-2). Let i be 3\/(2\/2*r). Is i bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11132667 divided by -9\nAnswer: -1236963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 4. Suppose 2*g - 4 - 8 = 0. Let k be i(g). Let p be k\/(((-3)\/(-2))\/3). Calculate the greatest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 h, 1 i, and 1 r when four letters picked without replacement from {h: 2, v: 1, m: 1, r: 1, b: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120 a factor of 5493025714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.240946647 rounded to 3 dps?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-3) + 18)\/((-5)\/(-15))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11450204 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q - 3*w + 629, -258 = -2*q + 2*w. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let m(o) = 1058*o. Determine m(v(w)).\nAnswer: 1058*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 9?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 316 - 393 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b5b1 (base 12) to base 14\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332752 is divided by 1165?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(36\/3))\/(4\/24).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j - 8. Let l be t(6). Let a = 23 - l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:37 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 35 = -5*b, 4*u = -b - b + 34. Suppose -u*w - 5*w = 0. Suppose -r + 7*r - 2958 = w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828325770 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 238304, -1641, -1\/3?\nAnswer: 238304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 + 25*h - 87. Let q be m(5). What is the units digit of (24310\/30 - q) + 4\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:23 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(((-28)\/12)\/(-7)). Let l(o) = o + 4. Let j be l(r). Let d(t) = -4*t - 3. What is the tens digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2195*a - 493913. Give u(225).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427 - -3346. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2920202 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 217 = 6*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {c: 2, t: 2, b: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -1\/20*t**5 + 0*t**2 + 0*t + 0*t**3 + 3 - 1\/16*t**4. Factor v(p).\nAnswer: -p**3*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((2*(sqrt(176) + sqrt(11)) - sqrt(77)\/sqrt(28)) + 5)*-1)**2.\nAnswer: 171*sqrt(11) + 4295\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) -0.1 (c) -2\/11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -20*h - h - 91 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 18 = 17 - 29 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:49 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -49, -72, -95, -118, -141?\n\"Answer: -23*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h = -53*h - 21573. Let b = 13329 - h. Suppose -4*v + b = -4*i - i, 3*v - 4621 = -5*i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518631?\nAnswer: 3, 172877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b**4 - 4 + 4*b**2 + 11*b + 12*b**4 + 4 - 16*b**3 + 5*b = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 215 + 57*g - 8*g**3 - 57*g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22438, 22414, 22390, 22366?\n\"Answer: -24*s + 22462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 10605252?\nAnswer: -10605250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -17\/6*r**3 + 0 + 0*r - 34*r**2 + 41\/15*r**5 + 1\/6*r**4. Find the second derivative of v(f) wrt f.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 5448711\/20 and 272437 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 138489442 divided by 35906?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/25*(-5)\/(-2). Let l = -7 - h. Suppose -5*g + 20 = -g. Put 4, g, l in decreasing order.\nAnswer: g, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1059*p**3 + 1036*p**3.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0356 - -108.9644. Let r = p + -115. Which is the fourth smallest value? (a) -0.1 (b) 1 (c) -5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50076.1121 rounded to the nearest one hundred?\nAnswer: 50100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 5, -5, 2\/11, 1\/15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgch when four letters picked without replacement from {h: 1, g: 1, c: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 17*v - 46. Determine k(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/6 - 23*p**3\/2 - 91*p**2\/2 + 7*p - 8. What is the remainder when q(37) is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = 9 - 389. Calculate the least common multiple of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71 + 1881*w - 3*w**3 + 16*w**2 - 11 - 1953*w + 11*w**2.\nAnswer: -3*(w - 5)*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 40612*b**3 - 13524*b**3 - 13597*b**3 - 13489*b**3.\nAnswer: 2*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3336090 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = a + 3*a. Suppose -2*t + 10 = -a*t. Let f = 18 + t. What is the remainder when 15 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5573 + -5576. Sort j, 2, 82 in decreasing order.\nAnswer: 82, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52038.78 to the nearest ten.\nAnswer: 52040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.3 (c) 6\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 3 + 3 + (r + 3*r - r)*(110 - 941 - 58).\nAnswer: -2665*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (376\/(-30)*249\/(-332))\/((-3)\/(-15))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 14. Let h(u) = 2*u - 5. Let d(v) = 17*h(v) + 6*j(v). Let g be d(-1). Is g\/(-3) + 340\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p - 57*p = 42 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8193769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.163 + 0.137. Which is the closest to m? (a) 0 (b) -1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + 5*j + 3. Calculate r(5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - j**2 + 26*j**3 + 0*j**2 + 3*j**2 to the form o*j + z*j**2 + w*j**3 + s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2352, -837, 678, 2193, 3708, 5223?\n\"Answer: 1515*q - 3867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/942 and 41\/201588.\nAnswer: 201588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/4 + 2*r**3\/3 - r**2\/2 + 7*r - 212. Let x be y(3). Which is smaller: x or 195\/4?\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**4 + 56*h**3 + 80*h**2 - 224*h - 384 = 0.\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 1271\/5. Factor 3\/5 + 1\/5*s**2 + s - r*s**3.\nAnswer: -(s - 3)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260568*c**2 - 11*c**3 + 260568*c**2 + 7*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(3 - 12*a + 13*a + 0).\nAnswer: 3*a + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1641.9198 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 - 33*u**2 - 229*u - 331. Let p(c) = c**3 + 12*c**2 + 77*c + 110. Let o(i) = -7*p(i) - 2*r(i). Determine l so that o(l) = 0.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {b: 1, f: 3, s: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/13, -662\/15, 171?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-286)\/143)\/((-50)\/(-6))\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 72, -140, -168 in decreasing order.\nAnswer: 72, 4, -140, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (381 - 5)*(-1)\/(-2). Suppose 79 + n = 8*y. Let z(h) = 4*h**2 + 80*h + 15. Calculate the lowest common multiple of z(-20) and y.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.911 + -32.911. Let o = 24.962 + 0.038. Let n = a + o. Are -3 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from awwwa?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*a = -4*g - 4, 0 = -3*a - 6. Let s be (21\/(-6) - -1)*g. Suppose 4 = s*h - 21, -3*m + 50 = 4*h. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 1. Let g(l) = -4*l + 5. Let r(m) = -g(m) + 3*h(m). Suppose 2*i = -5*k + 45, -73 = -3*i + 3*k + 5. Let y = -27 + i. What is r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 9*y**2 + 17*y + 83. Let v be x(-4). Is v bigger than -31\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 949066 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388 + 43. Let z = 2993\/7 - n. Let w = 289\/9 + -32. What is the common denominator of w and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 89*v = 88*v - 173*v - 70, -81 = -3*o - 5*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25982 is divided by 639?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkfshcchhshhihfshssc. Give prob of picking 1 k and 3 c.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 7. Let t(o) be the third derivative of -o**4\/24 - 13*o**3\/6 + 2*o**2. Let r be t(-7). Let w be a(r). What is w rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 + 343 = -r - 5*i, 4*i = -3*r - 1822. Calculate the common denominator of 10\/50 + (r\/510 - 0) and -89\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 178*m**2 + 184*m - 184. What is the remainder when i(90) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 2, r: 1, s: 8, m: 5}. Give prob of sequence rs.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 13*u**2 - 15*u + 12. Let m(o) = o**2 + 8*o - 72. Let t be m(6). What is f(t)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12838010 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.868 - 1.868001199. What is y rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) + (-196)\/10. Let h be 10\/(-4)*c\/2. Suppose 0*z - h = -z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 94*b**2 + 11*b - 7. Let w(j) = 283*j**2 + 36*j - 21. Calculate -4*w(t) + 13*z(t).\nAnswer: 90*t**2 - t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*-12 - 32. Let k be ((-6)\/n)\/(100\/16 - 7). What is the closest to 0 in 2, -2\/11, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {x: 13, q: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o + 91 - 89 - 8*o**2 - 3*o**2 - 18*o**2 wrt o.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15582428 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 16*o - 10. What is the remainder when 73 is divided by t(12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*u**3 - 5 - 6 - 4*u**3 as b*u + g*u**2 + i + j*u**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -280904\nAnswer: -140452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1774, 4, -3 in ascending order.\nAnswer: -1774, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 10. Let v be a(12). Let i = v - -16. What is the third derivative of -6*s**2 + 2*s**i - 5*s**6 - 2*s**6 wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 24*t + 122)*(11*t**4 - 14*t**4 + 5*t**4).\nAnswer: 48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 15*q**2 - q - 13. Let g be h(-15). Suppose 0 = 2*r + 2*r - 12. Find the first derivative of -g*z**r + 0*z**3 - 4 + 0*z**3 + 3*z**3 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.80983 days to nanoseconds.\nAnswer: 7845969312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1195 * 21838.7.\nAnswer: 26097246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -109*a - 128 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 354, 874, 1556, 2400, 3406, 4574?\n\"Answer: 81*r**2 + 277*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssssww. What is prob of picking 1 s and 1 r?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1 - w + 8 + 2*w + 0. Let z be h(-3). Put z, -1, 3 in increasing order.\nAnswer: -1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -176, -334, -492, -650, -808?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2914 + 11264. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrs. Give prob of sequence slr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 159, -5, -3.129?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021368 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 1, u: 5, s: 2, y: 2, h: 1}. What is prob of picking 1 u and 1 n?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/21 + (-30)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 18*t**5\/7 - 106*t**4\/7 + 88*t**3\/7 = 0.\nAnswer: 0, 1, 44\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -9 + -1 + 596. Let z = o - 265. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 6. Suppose -35*u - 52 = -39*u. Suppose 58 + 33 = u*i. Determine t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 7)\/(-1 + 768\/765). Calculate the highest common divisor of w and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10100, -10098, -10096, -10094, -10092?\nAnswer: -10090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**8\/28 - 19*x**5\/15 - 351*x**4\/4 + 284*x**2 + 2*x. Find the second derivative of r(t) wrt t.\nAnswer: -240*t**3 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843\/18546*51\/34?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 13. Let m be t(-8). Let i(u) = u**2 - u. Let b(w) = 6*w**2 - 14*w - 9. Let j(q) = b(q) - 7*i(q). Determine j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + 3*t)*(-3*t**4 + 3*t**4 - t**4) + (-7*t**4 - 11*t**4 + 2*t**4)*(2 - 3*t - 2).\nAnswer: 47*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 11) to base 12.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-3) - 1\/18*6. Suppose -5*d - f - 3 = f, -2*f = 2*d + c. Solve -15 - d = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25769238 is divided by 207.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5*sqrt(171))\/sqrt(9) + -5 - ((4*(-1 + sqrt(19)))**2 - (sqrt(475) + -2))).\nAnswer: -329 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/(52\/(-468)). Put 5, -8, r, -2 in decreasing order.\nAnswer: 5, -2, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 + -244. Let v be (24 - 18)*2\/w + 4. Solve 5*l + 7 + 13 = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 14, 9, 4?\n\"Answer: -5*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - q = 4*b - 15, -22*b + 3*q + 4 = -28*b - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 49593200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 9. Give p(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 307 (b) -0.2 (c) 6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588506645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 - -0.19. Let i = r + -1.02. What is the third smallest value in 6, 5, i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/3 + 4*t + 28\/3 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.29 - 2.291. Is b <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 14*u + 14. Let d be r(1). Suppose 2*y = 2*c + 18, y + 26 = 3*y - d*c. Solve 3*f + y*g - 15 = -2*f, 5*f + 3*g = 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 10*m**2 + 20*m + 1. Let k be l(3). Is -19\/28 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 0*a + 5*a + 22 + 4*a**2.\nAnswer: 4*a**2 + 6*a + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3)\/o*o)\/o)**12*(o\/o**(-2\/5))**(-24\/7))**(-9) assuming o is positive.\nAnswer: o**(2376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 286295491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6126 divided by -2042.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5449039 nanoseconds to minutes.\nAnswer: 0.000000000042415065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d + 1501. Let q be w(-42). Let z = 253 + -77. Suppose 0 = -19*s + z + q. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:04 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*d + 4*d + 8, -d = -4. Let z be (-10)\/l*(-7 + 3). Solve 2*k = k - 4, -2*m - 16 = z*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/334 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 113*j + 18285 = 0. Calculate the smallest common multiple of j and 294.\nAnswer: 15582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156316 or 156334?\nAnswer: 156316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.17. Sort -4, v, -1.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -102, 2, -9 in decreasing order.\nAnswer: 8, 2, -9, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/1*(-2)\/(3 - 1). Let f(g) = 5*g**2 - g - 1. What are the prime factors of f(t)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2. Let i(v) = -15*v**2 + 24*v. Let d(b) = 91*b**2 + 1 + 5*b - 94*b**2 - 1. Let g(u) = 24*d(u) - 5*i(u). Calculate k(g(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -103286828 less than 0.3?\nAnswer: 103286828.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1281320 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-2 - 0) - -3. Let l = -85 + 64. Let b be (-6)\/(2\/4*l\/56). Calculate the greatest common factor of b and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in seconds?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, u: 5, r: 2, d: 8, e: 3}. What is prob of sequence erze?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/688 and -89\/8.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a**(15\/4)*a*a))\/a)\/a*a)\/(a**(3\/7)\/a)*(a\/a**(-4))\/(((a\/(a*a*a*a\/a**(-9\/4)))\/a)\/a) assuming a is positive.\nAnswer: a**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - n + 2*n)*(-1 + 0 - 1) - 62*n + 21 - 21 + (3 + 15 - 3)*(-2 + 2 - n) as v + f*n and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1654679500 to the nearest one hundred thousand.\nAnswer: -1654700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (1896 - 1935 - (1 + -142)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5*i = -24. What is the remainder when 33 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*v**4 - 36584*v**3 - 8613310*v**2 wrt v.\nAnswer: 1464*v - 219504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + u - 3*u + 0*u)*((-1 + 2 - 3)*(-150 - 121 - 45) + 1 + 0 - 2)*(3*u - 3*u + u).\nAnswer: -1262*u**2 + 631*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*b - 204037 = -4*d + 281*b, 5*d - 255030 = -2*b. Calculate the greatest common divisor of 64 and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*d + 638 - 638)*(5 - 1 - 3).\nAnswer: -102*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-7))\/s**(-6))\/(((s*s**(-2\/7)*s)\/s)\/s*s*s**(-8)*s) assuming s is positive.\nAnswer: s**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Let x = z + 3. Let r = 4.269 - 4.469. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -122241003 and -0.39.\nAnswer: -122241003.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1871277*g + 1835434 wrt g.\nAnswer: -1871277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4202252176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -28.7, 0.2 in descending order.\nAnswer: 1, 0.2, -4, -28.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 735528 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 + 7*t**2 - 118*t - 648. Let f be c(-6). What is the highest common divisor of f and 1512?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -13 - -4) + 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2484, 2492, 2500, 2508?\nAnswer: 2516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 61*l**4 - 5183*l**3\/5 + 9116*l**2\/5 + 12*l = 0.\nAnswer: -2\/305, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 14, 39, 76, 125, 186, 259?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795445.\nAnswer: 5, 163, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105616039 and 2?\nAnswer: 211232078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10306311 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 6\/(-3))*(-4)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - c = 72 + 12, -i + 2*c + 28 = 0. What is the lowest common multiple of (-2)\/2*(2 - 8) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -261, -0.183, 1 in descending order.\nAnswer: 1, -0.183, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -418 - -455.2. Let u = 41.063 - 0.063. Let x = u - i. What is x rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 + 13.1?\nAnswer: -514.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42704.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 = 8. Let j = 2.5 + -7.5. What is the closest to 0 in j, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 9 = -t, -2*t = 4*q - 0*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 + 97 - 46) + 16 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 652 and -3.8.\nAnswer: -2477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7 = -h - 2, -h + 6 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -6 (c) 66 (d) -4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/160*-6*(-1)\/(15\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u + 16. Let v be i(3). Let o = 6 - 4. Put o, -1, v in descending order.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/11, -0.01, 1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 9. Let r be x(4). Solve -16 = -3*s - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 0*l**2 + 0*l**2 + (-3*l + l - 7*l)*(5*l - 4*l + 0*l) + l**2 + 6*l**2 - 5*l**2 + (-1 + 2 + 1)*(-2*l**2 + 3*l**2 - 3*l**2).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -26*u**3 - 1097*u**2 + 14*u - 9. Let a(o) = -67*o**3 - 2743*o**2 + 36*o - 23. Give -5*a(j) + 13*q(j).\nAnswer: -3*j**3 - 546*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417*x**4 - 21*x**3*y**2 - 313*x**2*y**2 - 2*x**2*y + 2*x*y**2 - 20*y**2 wrt x.\nAnswer: -10008*x - 126*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 83*c + 78*c - 45 = 0, 3*d + 3*c + 30 = 0. Sort -2, 7, d, -39 in ascending order.\nAnswer: -39, d, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2 - 6*v + 78. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((5\/10)\/(2\/36)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 235 divided by 47\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 23. Let i be k(-5). Suppose 2*x - 6*x - 90 = -5*u, -u = i*x + 1. Solve 0 = -17*l + u*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 84172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2608, 2603, 2598, 2593?\n\"Answer: -5*a + 2613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475387 is divided by 210758.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4126100 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5cb7a (base 13) to base 10\nAnswer: -171129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 135\/12 - (-8)\/(-32). Let p(u) = u + 2. Determine p(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(45) + (sqrt(1125))**2 + 3.\nAnswer: 6*sqrt(5) + 1130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2)*1 + sqrt(2)) + 5*(-1 + sqrt(2)))**2.\nAnswer: -170*sqrt(2) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 70*x - 1429655 + 1425392 = 0 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489145206.\nAnswer: 2, 3, 11, 7411291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888747 is divided by 169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 86 + 18. Let w(u) = 16*u**2 - 6*u. Let k(p) = -47*p**2 + 17*p. Let h(n) = j*w(n) - 6*k(n). Let s(v) = -2*v**2. Give h(s(l)).\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 6*a - 1. Let z be h(6). Let d = z - 50. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/6, 0.21, -3\/4 in descending order.\nAnswer: 0.21, -1\/6, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1147933, 1147882, 1147831, 1147780, 1147729?\nAnswer: 1147678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 76 = 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134745917 and 1678.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 7. Let u(i) = i + 2. Let g = 32 + -5. Suppose -5 = o - g. Suppose -3*h = -0*n - n + 2, h = -5*n - o. What is h*j(q) - 7*u(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -2*d - 2*h + 73, d - 4*h = 26. Solve 6*y + 2*s - d = 8*y, -8 = -2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1808 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/(((g*g**2)\/g)\/g))**(8\/3) assuming g is positive.\nAnswer: g**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/2))\/t**(-1\/9) assuming t is positive.\nAnswer: t**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 4*z + 159 = -3*g, 3*z = g - 47. Calculate the greatest common factor of g and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (-1 + -1) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + t - 454 = 0, -2*w - 5*t + 0*t - 238 = 0. Let s = w + 125. Let u = 30 + -11. What is the remainder when u is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 3*v + 142, -5*v - 568 = -4*u. Let g(w) = -w**3 - 12*w**2 + 29*w + 420. Calculate the remainder when u is divided by g(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3640524 weeks to microseconds.\nAnswer: 220178891520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 0*p**2 + 0*p + 13\/3*p**3 + 7. Let u(r) = -2*r**2. Give u(w(v)).\nAnswer: -338*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 60. Suppose -4*o - o = -c. What is the units digit of o\/(-6)*(-27)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226530811518 - -226530811899.999999642. Let s = m + -382. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 16*w + 3. Let n be x(-5). Let h(a) = -2*a**2 - 11*a - 9. Let t be h(-4). Put -0.2, 2\/11, t, n in descending order.\nAnswer: n, t, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 867?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/(3*(-4)\/(-210)). Suppose -5 = 4*g - q. Sort -3, g, -4 in ascending order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s = -604435 + 197735. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3*25 + -2. Let j be 48\/((80\/(-55))\/(-8)). What is the greatest common divisor of u and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*k + 19, 7 = 2*r - 3*k - 5. Let h = 13 - -43. Suppose 0 = 3*p + p - h. Solve -2*g = -4*v - p, 2*g + 9 + 5 = -r*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 9*a**2 + 3*a + 50 - 2*a - 38. Let c be x(-9). Let m(b) = 4*b**3 + 3*b**2 - 8*b + 4. Is 15 a factor of m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-534)\/27 + (-4)\/18. Let q = -19 + 9. Let z = q - d. What is the remainder when 19 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337230.3l in millilitres?\nAnswer: 337230300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2. Let s = -15 + 76. Let r = s + 57. Let o(n) = 116*n - 229*n + r*n. What is k(o(j))?\nAnswer: 175*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(112)\/sqrt(4) - (sqrt(7)*2 + 5) - (2 + sqrt(175) - sqrt(448)*1)))**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14881730 rounded to the nearest one hundred thousand?\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -365\/4 - -92. Suppose 82*j - 78*j = 4484. Let f = -1123 + j. What is the smallest value in f, q, 2\/5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/30962 and 57\/274.\nAnswer: 30962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*j*s**2*v - j*s + 2*j + 229*s**2*v - 2*s**2 - 3*s*v - 3646*s wrt v?\nAnswer: -4*j*s**2 + 229*s**2 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428723 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: Round 60.9728 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/(-108)*1*9\/2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/4 - (-1)\/4. Suppose -b - k*s = -0*b - 2, s = -3*b + 14. Suppose -2*o - 3*o + 125 = b*p, 3*p + 5*o = 83. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 1.7, 0.1, -2\/15?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (5 + -10)) - -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Suppose -2*r = 2*w - 88, -2*r + k*r - 88 = -w. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8932 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -336*w**2 - 40*w + 47. Determine j(1).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqat when four letters picked without replacement from tgcgqae.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -1\/3, 0.12, -2, 5, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.999 - 62797.32631.\nAnswer: -62809.32531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148814064 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2639.96 times 1\nAnswer: -2639.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.4 (c) 4\/3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*j - 3*r, 2*j = -j + r + 6. Is (-6)\/j - -5040 - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 23*c - 5. Let k be l(-23). Let g(o) = 2*o**3 + 56*o**2 + 59*o + 138. Let j be g(-27). Put j, k, 8 in descending order.\nAnswer: 8, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -2)*-59 + (-3 - -4). Let b(c) = -3 + 52*c - w*c + 74*c. Determine b(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235\/3 at most 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*q - q**2 + 3*q**2 - 31*q - 1)*(-2207 + 2207 - 45*q) + 2 - 8*q**3 + 4 - 5 as c*q + r*q**2 + m + y*q**3 and give r.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03178 - -0.36822. Sort -347, 1, y in decreasing order.\nAnswer: 1, y, -347","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/(-9) + 20\/5)\/(2\/(-15)). Calculate the greatest common factor of d and 1350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 19925786\nAnswer: 2\/9962893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/(s*s**(-1\/4)*s)))\/s)**(4\/17))**(2\/139) assuming s is positive.\nAnswer: s**(14\/2363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34992809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -9*z**4 + 3135*z**3 - 10371*z**2 + 7245*z = 0.\nAnswer: 0, 1, 7\/3, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 13*u**2 + u - 4. Let d be t(14). Let o = d + -189. Solve -q = 3*k + o, 3*q = -0*q + k - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0821 from 0.06.\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 6:29 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -573a + 11?\nAnswer: -5729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, 521, 4, -4, 2481.\nAnswer: -4, -3, 0, 2, 4, 521, 2481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 58*n**2 + 3*n + 5. Let z = -27 - -25. Is y(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0 + 8 - 4)*(2*a + 1 - 1).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1, -4.33, -2\/13, -3, 32?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115427\/3 or -38477?\nAnswer: -115427\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:41 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*x - 6*x. Suppose 4*p + x*z - 16 = 0, 6*p - 2*p - z = 10. Solve p*g - 2*y = 8, -g - g + 2 = -3*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1075668047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957235061.\nAnswer: 2111, 453451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634*b = -646*b + 3972. Let j = 146 + 436. Let y = j - b. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86732221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 23. Let a be -19 + 36\/8*6\/9. What is the remainder when j(a) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -234?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33842858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 2. Suppose 5*i - 78 = o*i. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-4\/3)\/u)\/u)\/(u\/(u\/(u\/(u\/(u\/(u*(u*u\/u**(-1\/4))\/u))))*u)))**12 assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -2. What is the common denominator of -4 - r - (-339)\/(-18) and 73\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 + 2*r - 2. Let c(g) = -9*g**2 + 5*g - 5. Calculate -4*c(l) + 10*q(l).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/36 + 7*x**5\/15 - 17*x**4\/12 + 14*x**3\/9 + 2*x**2 + 20. Determine f, given that i(f) = 0.\nAnswer: 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 426\/(-333) + 296\/222?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 4 - 4)*(4 + 3 - 4)*(-1 + 3*z - 3*z + z)*(-12*z + 31*z + 60*z) as y*z**3 + c + w*z + v*z**2 and give y.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2159*q**2 - 1084*q**2 - 1074*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 539, 1274, 2293, 3590, 5159, 6994, 9089?\nAnswer: 11438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0653 times 0.6?\nAnswer: 0.03918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(2\/(-2))\/(-1). What is the common denominator of 2\/4 - (-32)\/6 and (-8)\/132*(-129)\/r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3145, -6307, -9551, -12919, -16453, -20195, -24187?\nAnswer: -28471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041757.\nAnswer: 2041757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-768)\/(-1920)*(-8)\/((-112)\/(-90))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9924*g**6 - 92*g**5 - 17374*g**2 + 6*g - 3?\nAnswer: -1190880*g**3 - 5520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*m*v**2*x**3 + 3*m*v**2*x - m*v*x**3 + 8*m*x**2 + 3*v**2*x - 4*v*x**3 - x**2 wrt v?\nAnswer: 68*m*x**3 + 6*m*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from {p: 7, a: 9}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 923765 a multiple of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - 1374*i + 93252. Determine l(60).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -415611 (base 8) to base 9\nAnswer: -230417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166961 - 153289 = -105*z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 21*q**2 - 6*q**2 - 5*q**2 - 7*q**2. Let d(y) = 79584 - 67*y - 79584. What is w(d(p))?\nAnswer: 13467*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:57 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 870801689 to the power of 1\/2, to the nearest integer?\nAnswer: 29509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -350? (a) -5 (b) 1.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -224a77 (base 12) to base 4\nAnswer: -2011223323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 16. Let m be j(-17). List the prime factors of (m + 0)\/(-1)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.4 and 0.25.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:11 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/32, -0.2, -2, 0, -10.3?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8233 and 12.79?\nAnswer: -105300.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.810765km?\nAnswer: 5810765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272187875?\nAnswer: 3, 5, 7, 484643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 2:53 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qub when three letters picked without replacement from bfjqaqffqfufjqu?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/12 - 5*p**3\/6 - 2*p**2 + 17*p + 2. What is l in r(l) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-22 + 11 + 16 + (0 - 18))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 132*a**2. Let b(m) = -m**2 + 15. What is b(n(j))?\nAnswer: -17424*j**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/120 + 1893\/8.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20)*q**(-1\/13)*(q\/q**8)**(-40))**(-1\/5) assuming q is positive.\nAnswer: q**(-3379\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -279532*t**5\/9 - 33543848*t**4\/9 - 457873736*t**3\/3 - 2267567952*t**2 - 5527251132*t - 158184 = 0.\nAnswer: -39, -3, -2\/69883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25*0.0009\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 216 - u**2 + 43937*u**3.\nAnswer: 43937*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2977*w. Let q(j) = 2*j. Give q(f(g)).\nAnswer: -5954*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/9 in 0.07, -2\/3, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 2339 in increasing order.\nAnswer: -3, -2, 2339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, 4*g - 6 = -4*x + 6. Suppose -4*l = -g*r - 212, 3*l - 120 = l + 5*r. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o. Let c(r) = -320*r. Let m(n) = 6*c(n) + 195*z(n). Let p(g) = -3*g + 2. Let q(i) = -i + 1. Let w(d) = -p(d) + 2*q(d). Determine m(w(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) 0.15 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10549 - -10551. Let h(z) = 38*z - 66. Give h(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15760989 >= 78804946\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24696 = -81655*l + 81214*l for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 110, 122, 80, -34, -238, -550?\n\"Answer: -3*z**3 + 69*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35586528 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5001633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -158 - -5194?\nAnswer: 5038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -6*f**2 + 0 - 1\/6*f**4 - 1\/3*f**3 + 0*f + 7\/30*f**5 - 1\/15*f**6. Factor s(b).\nAnswer: -2*(b - 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/2*4\/(-1). Let p = t - -190. Suppose -p - 145 = -3*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Suppose -2*n = d*c - n - 2, -3*n = -5*c + 22. Solve 1 + 5 = c*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21952.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 267768453947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684))**2 + -5 + (sqrt(152) + -2*sqrt(152))\/sqrt(8) + sqrt(19).\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300952 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 9 + 6. Suppose 0*n = -2*n. Factor -9\/4*x**4 - 7\/4*x**2 + 15\/4*x**o + n + 1\/4*x.\nAnswer: -x*(x - 1)*(3*x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - u = -21*y + 75, u = 5*y - 2*u + 7*u - 56 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10902.9685+-5.5\nAnswer: -10908.4685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-10 - -118)\/(-12) - -11). Sort 2\/11, -26, z in decreasing order.\nAnswer: 2\/11, z, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1986\/21 - (-103050)\/72135.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 2*s**2 + 5*s - 1. Let z(i) = 2*i**3 - 2*i**2 - 4*i + 1. Calculate 4*h(m) + 5*z(m).\nAnswer: -2*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 113*v**5\/10 + 121*v**3\/6 - 82*v. What is the second derivative of o(t) wrt t?\nAnswer: 1356*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441*c**3*g - 2*c**2*q**2 - 5*c + 3*g*q**2 + 2*g*q - 1 wrt c.\nAnswer: -2646*c*g - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263569?\nAnswer: 53, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -5, -75?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - (-24)\/(-18). Let z(d) = -121*d - 2. Let g be z(l). What is the common denominator of -69\/16 and 105\/2*(-36)\/g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 2*f - 4*f + 3 + 0*f. Suppose -4 = -l - 10. What is d(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 8:59 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79875?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2))**(-13))**30)**19 assuming m is positive.\nAnswer: m**3705","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88447046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 2, z: 4}. Give prob of picking 2 s and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 9*i + 2*i**2 - 2*i + 7*i + (2 - 2 - i**2)*(-3*i + i + i) - 2*i**3 + i**3 + 3*i**3.\nAnswer: 5*i**3 + 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 40 = -2*d. Which is the nearest to 1? (a) -3\/2 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2552 + 2551.9. What is the closest to p in -21, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1658*v - 3964. Let t(c) = 3317*c - 7909. Let b(n) = 6*t(n) - 11*y(n). Differentiate b(f) wrt f.\nAnswer: 1664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -37*j + 427. Let a be d(11). What is the greatest common divisor of 370 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 50 - (-11 + 0 - -29)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79533 = -3*y + 120663. Let u = y - -1803268. What is u rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 v when four letters picked without replacement from vvqvvgqvvvqg.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 806.669 + -804.168916. Let c = 2.5 - u. Round c to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2252734 - 1552235. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*x**2 - 2*x + x**2 - 1970 - 103*x**2 - 575 + 109 wrt x?\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76150 or -76127?\nAnswer: -76150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284502 is divided by 4503.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2301 divided by -39.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 43 = i, -4*c - 12 = -i - 189. Solve 0 = -24*u + 13*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-8))\/(43\/(3956\/69))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -2 + sqrt(72) + 0.\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 3*m**2 - 6*m - 5. Let j(i) = -i + 15. Let g be j(12). Suppose 4*v = -a + 18 - 1, -g*a + 21 = 2*v. Is 10 a factor of n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2093 or -13.162?\nAnswer: 2093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28899270 divided by 69?\nAnswer: -418830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-12 + 7*x + 12).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 - 21*m**5 - 3*m**5 - 18*m**2 wrt m?\nAnswer: -1260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31\/4 in -0.4, 2\/3, -1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, -69, 11 in decreasing order.\nAnswer: 11, 5, -18, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 845227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*d = -15, -2*d = -5*x - 0*x + 27. Let i be 1*x\/(5\/6). Solve -2*b = o - 0*b + 9, i = -2*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*i**2 + 35*i**2 - 66*i**2 + 434741 - 434742.\nAnswer: -131*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1806 by -602.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Let r(t) = 13*t**2 - 3*t + 19. Let c(y) = r(y) - 2*v(y). Let k be c(6). Suppose 15*i = 6*i + k. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 9) to base 11.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**2*n**3*u + 15342*l**2*u**2 + 2*l*n**3*u**2 - 1160*l*n**3 - 13*l*n**2*u**2 + 2*l*n*u**2 + n**3*u**2 + 2*n**3*u wrt l?\nAnswer: 8*n**3*u + 30684*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -55, 56, 273, 632, 1169, 1920, 2921?\nAnswer: 4208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-14 - -18) + (-10 - (0 + 4)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.738 - -1.738. Let r = 22 - 22.1. Which is the second smallest value? (a) -3 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from wgiig.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 + 6*u**2 + 6*u - 3. Let a(g) = -g**2 - g. Calculate 6*a(z) + j(z).\nAnswer: -4*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 315, 2517, 8511, 20193, 39459, 68205, 108327, 161721?\nAnswer: 230283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28 and 191.043.\nAnswer: 53.49204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 14*d + 33. What is o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-80)*4*-2)\/((67797\/155)\/(-27))\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1177.272kg to nanograms.\nAnswer: 1177272000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 489689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5550 and 10.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1 + 13*l**2 - 149*l + 149*l. Suppose 0*b - 4*g + 64 = 3*b, 0 = -g + 1. What is the smallest common multiple of b and w(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -16, 0, 5 in decreasing order.\nAnswer: 5, 3, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - 0 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l**6\/l))*l*l**(-15) assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.25 - 2.2. Let l = -26.95 - z. Let r = l - -27.4. Put 18, r, 0 in ascending order.\nAnswer: 0, r, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7812\/(-992)*30\/(-27).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:40 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754414066 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 1}. 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: Is 194985323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10896343.\nAnswer: 10896343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -1.\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 + -165. Let m = z - 34. Suppose 3*v - 4*d - d = m, -d = v. Solve -4*k + 13 + 15 = 4*b, 20 = v*b + 2*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 470\/(-1200) + 2\/16 and 4 + 138\/(-72) + 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59466406 is divided by 1517.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125665.\nAnswer: 5, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 229897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.01 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnyynn. What is prob of sequence yynn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnwnwbejo. What is prob of sequence wjo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 10*c - 232. Let f be k(-21). Which is smaller: f or -11\/171?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/((-3816)\/108)*2\/5)\/(-2).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, v: 1, r: 1, o: 1, h: 2, i: 5}. Give prob of sequence vhm.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2320414 (base 5) to base 12.\nAnswer: -20368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 minus 0.2?\nAnswer: -459.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u - 22. List the prime factors of y(-11).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -663802 + 3335358\/5. Suppose 0 = 2*g - 3278 + 9794. Let b = p + g. Calculate the common denominator of b and -31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -77*f**2 + 78*f**2 + 872 - 361. Let b(m) = 7*m**2. Give h(b(y)).\nAnswer: 49*y**4 + 511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2 - 14\/(-8)). What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p*p*p**25*p))**(-8\/11)*((p*p*p**(-13)*p)\/p)\/(p\/p**(-1\/16)) assuming p is positive.\nAnswer: p**(1205\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4*h)**(3\/25)\/(h**(-26\/7)\/(h*h**(-1\/29))) assuming h is positive.\nAnswer: h**(27404\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2 and (-12)\/(((-1)\/(-18))\/((-2)\/136)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v + 2. Let l(a) be the third derivative of a**5\/30 + 8*a**2 + 2*a. What is l(k(h))?\nAnswer: 1152*h**2 + 192*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/38 and 46\/31.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 4 - -2 - (-2 + -1). Which is the biggest value? (a) -5 (b) q (c) 1\/2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-606)\/(-8)*((-138)\/(-9) + -2). Let w = o + -1009. Is w at least as big as 2\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(343) - (-3 + sqrt(7) + sqrt(28)\/sqrt(4)).\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 183804\/583 + (-9)\/33. Calculate the greatest common factor of 180 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - p + p + (2 - 3*p - 2)*(-p + 0*p + 4*p) + 45781*p + 163*p**2 - 45781*p.\nAnswer: 153*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/162921 and 7\/333?\nAnswer: 18084231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a - 5. Let b(j) = -50*j + 52. Let y be b(1). Sort a, -25, -3, y in decreasing order.\nAnswer: y, a, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -257 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.864739355 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8278715 divided by -1655743?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 4*u + 3, -2*s - 4*u = -8. Let w = 65.41 - 67. Let f = 1.09 + w. What is the closest to s in 0.3, -1, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 173.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - z**4 + 2*z + 0*z**4 - 2*z**4 + z**4 + (-5 - z**2 + 5)*(0*z**2 - z**2 + 2*z**2) + 11*z**2 - 5*z**4 - 11*z**2 - 2*z**3 + 2*z**3 + z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*1*24\/864*36*1\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 6*k**3 - 210886*k**2 + 7933577*k - 1 wrt k.\nAnswer: -12*k**2 + 36*k - 421772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17825 and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/4 - 162732*k**2 + 8837640240*k - 1128553322496 = 0.\nAnswer: 128, 108424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 2016 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -15 + 1\/3*t**2 + 2\/9*t**3 - 4\/3*t. Factor p(f).\nAnswer: 2*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321117529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 9:49 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275337 + -51.\nAnswer: 275286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -954, -1207, -1192, -813, 26, 1421, 3468?\nAnswer: 6263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 2 + 2*n)*(5 - 6 + 7).\nAnswer: 18*n + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14*-145889\nAnswer: -2042446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1529 and 67\/20741116.\nAnswer: 2883015124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35571 and 3006.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70034791 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -o - 8. What is the units digit of (-7)\/(o\/(-18)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -8. Suppose i = -2 - 14. Let g be 1*z*(-12)\/i. What is the highest common factor of 99 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-1 - 0) - (-7409 - -7433)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2617, 2613, 2619, 2641, 2685, 2757, 2863, 3009?\n\"Answer: p**3 - p**2 - 8*p + 2625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = 3. Let o be -4 + (4\/(-16))\/(1\/8). Which is greater: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001346466 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9115922863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.99 + 0.01. Let j = f + -19.9. Suppose 3*w - 6 = -2*w - 4*v, 5*v = 20. Put -0.2, j, w in ascending order.\nAnswer: w, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 13*p - 9. Suppose x + 3*d = 3*x - 25, 3*x - 34 = d. Does 7 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52415 * 5.\nAnswer: 262075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334872629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p + 34*p - 2 + 16 - 1 + 54*p as v*p + k and give v.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375073 to the power of 1\/2, to the nearest integer?\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99073?\nAnswer: 13, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1344, -15, -434.\nAnswer: -1344, -434, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*t**3 - 804*t**2 + 687*t**3 - 816*t**2 + 1620*t**2.\nAnswer: 1556*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let k(l) be the third derivative of -383*l**5\/30 - 22*l**2. What is k(s(y))?\nAnswer: -766*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-4) - 5)*(-64)\/6. Calculate the greatest common factor of 24 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25338263500 to the nearest 1000000.\nAnswer: 25338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 2.068. Let k = s - 0.052. Let v = k + 0.4217. Round v to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*p + 50. Suppose -2*q + 6*q - p = 0. Calculate the highest common divisor of q and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 62, -4 in decreasing order.\nAnswer: 222, 62, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -33 (c) -56161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 67. Suppose p*r + 29 = 2*d, -8*d + 79 = -3*d - r. What is the smallest common multiple of 6 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*-4*(sqrt(260)\/(sqrt(40)\/sqrt(4)))\/(sqrt(54)\/sqrt(3)))**2.\nAnswer: 64*sqrt(13)\/3 + 976\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (2 + -28 - -31)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -102*t**2 + 14*t - 10. Let z be w(-8). Round z to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.4 - -15. Let g = q + 3.46. Let p = 0.02 - g. What is the second smallest value in -1, p, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-75222)\/(-10) + 0\/(-21) + (-12)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.7 + 27.61. What is m rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16164478?\nAnswer: 2, 11, 19, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 11 = -7*f. Find the second derivative of -13*c + 20*c + 14*c**2 + f*c wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55232 - -2533?\nAnswer: 102205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g - 1. Let f be j(1). Let w be -2 - 0 - (f - 1). Let q = 24 + w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547819.\nAnswer: 3, 131, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 115*a - 65*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.43 + 35?\nAnswer: 31.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Solve -b*s = -6*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.02 + 156.02. What is the nearest to -1 in 1, -2, -5, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 178*g + 1748. What is s(-10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 4*h + 0*h**2 - 1 + 5*h. Let l(i) = 67 - 141 - i + 69. Let o be l(-6). Give k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/22044 and 52\/341.\nAnswer: 683364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7075, 7081, 7089, 7099?\n\"Answer: b**2 + 3*b + 7071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**4 - 156*n**2 - 4243 wrt n.\nAnswer: -12*n**3 - 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 9*n**2 - n - 6. Let w be q(-9). Solve w*x + 1 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 9*r**7\/7 + 11*r**5\/5 - r**3 - 43*r - 105. What is the third derivative of f(w) wrt w?\nAnswer: 1080*w**3 + 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 g when three letters picked without replacement from {z: 1, s: 2, u: 1, n: 1, g: 2, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -987 + 570. Let n = -415 - x. Which is the closest to -1\/3? (a) -1 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 7*d. Let f(a) = -5*a**2 + 6*a. Let b(v) = v**3 + 18*v**2 - 43*v - 66. Let w be b(-20). Determine w*n(t) + 7*f(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1172559 - 202.62799.\nAnswer: 1172356.37201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = n, -a = -3*n - 3 - 5. What are the prime factors of 210*((-25)\/(-10) + a)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t. Let z(s) = 2*s + 28. List the prime factors of z(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139248\/96700*(-10)\/54?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 499729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 + -278. Suppose -z = 10*j - 12*j. Calculate the least common multiple of 30 and j.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51295, -51080, -50873, -50668, -50459, -50240, -50005, -49748?\nAnswer: -49463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) 4\/7 (d) -325 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n + 19*n + 8741*n**2 + 6*n - 5*n**2 + 21*n.\nAnswer: 8736*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184.9*5.\nAnswer: 924.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3448, -1683, 1236, 5291, 10464, 16737, 24092?\n\"Answer: -3*m**3 + 595*m**2 + m - 4041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - 78. Let s = -1308 + 863. Let i = k - s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25075*r + 75240. Give l(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 14 + 138 - 24 - 21 - 146*w.\nAnswer: -146*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 104663 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6223 or -6220?\nAnswer: -6223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.05. Let t = m + 0.05. Let y = 0.1 + 4.9. Which is the third smallest value? (a) 2\/5 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 20*r = 5*i - 3, 2*i + 3 = -3*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1279*w. Let q(h) = -5*h**2 - 27*h - 3. Let y(m) = -4*m**2 - 18*m - 2. Let j(f) = 2*q(f) - 3*y(f). Calculate j(z(u)).\nAnswer: 3271682*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/2)\/(2\/28). Suppose -b + t = 2*y - 4, y = -4*b + 79. Suppose -10*n - 5 = -y. Solve -n - 8 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5dd58?\nAnswer: -5dd53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/5)\/r)\/(r*r*r*r*r**(3\/4))*r\/(r\/r**7)*r\/(((r\/r**(-3\/2))\/r*r*r)\/r)*r assuming r is positive.\nAnswer: r**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -265*u + 114. Let z be c(-6). Let x = z - 11899\/7. What is the common denominator of (-80)\/25 - (0 + 1) and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 + 6. Let q(b) = -5*b**2 + 7. Let g(v) = 7*p(v) - 6*q(v). Let k(a) = 5*a. Let x(u) = u. Let o(y) = k(y) - 6*x(y). Calculate o(g(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.0227911 and -2?\nAnswer: -36.0455822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose 0*k + 1170 = h*k. Suppose -9*o - k = -11*o. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.17249.\nAnswer: -0.17249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -66 (b) 6 (c) -2\/17 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*g - 200 - 4936 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-186 + 55 + (9 - -14)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4453.651 + 6.932.\nAnswer: 4460.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46530?\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-20)\/(-24))*-1. Suppose -i*h + 34 = -104. Solve 0 = 4*s - 3*y + h, 2*s + y - 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*u - 5*f + 129 - 119, -6 = -3*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2121 - 0?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37933, 37940, 37947, 37954?\n\"Answer: 7*k + 37926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10388190 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 a factor of 5297070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*m**3 + m**4 + 1 - 189*m + 174*m as y*m**4 + v + c*m**2 + d*m**3 + t*m and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*z + 2*c - 42, -2*z = 5*c - 27. Suppose 3*b + 12 = z*b. Let h(x) = -x - x + x**2 + 1 - 3*x + b*x. Calculate h(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 9225.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 13*k + 3. Let p be q(13). Let d(l) = 5*l**3 + l. Let h be d(2). What is the remainder when (-1)\/p + 476\/h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 4*p = -508, 855 = 5*q + 5*p. Let h = 376 - q. Suppose c + 4*x = 2*c - 30, -4*x + h = 4*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33138396)\/24)\/((-1)\/(-4)). Let a be (4 - y - 2) + 6\/2. Let h = a + -3123071. Round h to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-571)\/(-90))\/(-1) - 830\/(-2075)) + 6?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -830 and -195.94.\nAnswer: -1025.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1197.572 and 105.\nAnswer: 125745.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*o = 144*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + -100 + (-47 - -42) + -4 + 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*a*p + 17145*a + 7925*p wrt p?\nAnswer: -12*a + 7925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/4)\/(1\/1316*7). Let d = -20 + o. List the prime factors of d.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 + 84*x - 83. Give d(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2847567 and 1608.\nAnswer: 22780536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 12*c**2 + 40*c + 22. Determine q(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*u**3 + 620*u**3 - 12*u**4 + 2*u**2 - 206*u**3 - 191 + u - 204*u**3 wrt u.\nAnswer: -288*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138514.\nAnswer: 2, 69257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280180?\nAnswer: 2, 5, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -21*q - 133. Let c be b(-12). Solve -20 - 227*y**2 + c*y**2 - 7*y - 8*y + 113*y**2 = 0 for y.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095906?\nAnswer: 2, 3, 479, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202220 (base 3) in base 13?\nAnswer: -bc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -285.371?\nAnswer: -285.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/21 + 8*c**4 + 640*c**3\/21.\nAnswer: 2*c**3*(c + 4)*(c + 80)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/72957286 and -29\/12.\nAnswer: 437743716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86559 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92211 or -1153?\nAnswer: 92211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567398 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348 + -344. Let n(g) be the second derivative of -1\/2*g**p + 2\/3*g**3 - 6*g + 0*g**2 + 0. Find the second derivative of n(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 6*m**2 + 8*m - 8. Let u(j) = -j**2 - j + 1. Let r = -1754 - -1753. What is r*v(o) - 6*u(o)?\nAnswer: -o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7691 + -7682. Solve 0*a = -2*d - 2*a - 6, -d + 5*a = -j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 162576.\nAnswer: 162580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 200 = -805. Let f = d + -92. List the prime factors of f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**6 + 5*m**6 - 18198*m**5 - 41*m**4 + 215*m - 6*m**2 + 18198*m**5 + 1 wrt m.\nAnswer: 1680*m**3 - 984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/7 + 1704*k\/7 + 241968\/7 = 0. Calculate k.\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + f + u, 3*f + 5*u = -5. Suppose 2*s + 4*s = f. Suppose 4*c = -m - s*c - 6, c + 2 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*q + 303*q = 100*q + 358145. Is q greater than 861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -11\/4, -270.9754.\nAnswer: -270.9754, -11\/4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) - (-63)\/12. Suppose -98 = -d*q + 58. Suppose 14 = b + 3*m, -2*m = 4*b - 0*m - q. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17417 = -15*w - 17192 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 - -5. Let u = -0.8 - h. Let a = 2 + -5. What is the smallest value in u, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -17, -26, -39, -56, -77?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4701006, 9402025, 14103064, 18804129, 23505226?\nAnswer: 28206361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 206*v + 4289. Let p be h(-29). Put p, -2, -15, -8\/3 in decreasing order.\nAnswer: -2, -8\/3, p, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:34 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 6*x**3 - 4*x**3 + x + x**3 - x + (2*x**3 + 3*x**3 - 7*x**3)*(-6 + 2 + 3).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/4)\/3*20. Is c > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3742 = -172*l - 74 - 140 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 4. Let s be m(3). Suppose 2*a - a - 3*y + s = 0, 0 = -a - 4*y - 8. Let l be (-105)\/a + 7\/(-28). Calculate the highest common factor of l and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 224054056?\nAnswer: 224054054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(108)\/(sqrt(12)\/sqrt(2)) - sqrt(18)))\/(sqrt(729) + -3*sqrt(729)).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/4)\/3*4. Let i(v) = v - 8. Let f(c) = -9 + 0 + 2 + 2*c - 1. Let a(g) = 2*f(g) - 3*i(g). Determine a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89, 109, 129, 149, 169?\n\"Answer: 20*j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -50, -223, -530, -1013, -1714, -2675?\nAnswer: -3938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 - 1. Let o(x) = -23*x + 1222. Calculate the lowest common multiple of n(-2) and o(53).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - t. Let x be q(1). What is the units digit of (-6)\/4*(-6 + x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vowvvvwvvvvvwvvvvvvv. Give prob of sequence ov.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 394462387 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1261 to 2 dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeekeee?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1895, 1881, 1867, 1853?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/313352805?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10429 - -10422. Put 0.1, 2\/23, -0.2, -0.4, z in descending order.\nAnswer: 0.1, 2\/23, -0.2, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f**2 - 3*f + 14. Let g(c) = -5*c**2 - c + 5. Calculate -6*a(z) + 17*g(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -43. What is the lowest common multiple of c and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17 - 77 = 0. Calculate the remainder when 30 is divided by g*(0 + -3 + 55\/25).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44995627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -39, -47, -55?\n\"Answer: -8*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184669 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 2*v**2 - 2*v**3 + 4*v**3.\nAnswer: 2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -25.2504?\nAnswer: 5.05008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/6 - 689791*h**2\/6 + 13796420*h\/3 - 137966200\/3 = 0.\nAnswer: -689831, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62058 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 5582 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 4749745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*g + 2478 - 2*g - 141*g**2 - 425*g**2 + 12*g wrt g.\nAnswer: -1132*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/8 - 7)*(20 + -22 - 488\/24)?\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 10:03 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 142020 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.281956 to 1 dp.\nAnswer: -26.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21637 and 4543.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 41\/((-943)\/276)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -13?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**2 - 2. Let x(f) = -f**2 + 5603 - 5615 + f - 2*f + 5*f - 4*f. Calculate s(x(i)).\nAnswer: 2*i**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**3 + b + 1. Let o be d(-1). Let l(j) = -j**3 + 8*j**2 + 7. Let g be l(o). Let p = g + 1. Calculate the highest common factor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2577 and 31.\nAnswer: -2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*m**3 + 4*b**3*m + 3693681*b**3 - b**2*m + 625*m**3 - 3195*m**2 wrt b?\nAnswer: 6*m**3 + 24*m + 22162086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 808048 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3251, 4361, 5453, 6527, 7583, 8621?\n\"Answer: -9*l**2 + 1137*l + 2123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*m - 301*m + 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 20\/(-16)) + (-3)\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1287 or 0?\nAnswer: 2\/1287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 2, a: 4}. Give prob of sequence aat.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21976899 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Put together 35446675 and 8625.11.\nAnswer: 35455300.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/60 + 3*u**4\/8 - u**3\/3 + 12*u**2. Let t be i(6). Calculate the greatest common factor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 20. Suppose 0 = -k + 3 - 1. What is the first derivative of 1 - 2*g**k - 2 - 1 + o wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707227596?\nAnswer: 2, 19, 22463521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 10956 and 35.\nAnswer: 10991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 458, 914, 1368, 1820, 2270?\n\"Answer: -p**2 + 459*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 + q + 1. Let l(x) = -3*x**4 - 3. Let a(z) = 3*k(z) + l(z). Solve a(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 51 = -2*u + 6, 3*r + 93 = 4*u. Solve 9*v + u = 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/75192 and 9\/119236?\nAnswer: 172415256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 14 = 5*i, 0 = -2*i - 5*t + 18*t - 34 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4, 0, 727?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*u + 98 - 98 + 2006*u.\nAnswer: 2685*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/(w*w**2*w*w))\/w))**(2\/37)*w\/w**(-1\/15)*w**(-1)*w assuming w is positive.\nAnswer: w**(742\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 14*m - 381. Determine d(22).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 86*m**4*z - 2*m**3*z + 12*m*z + m + z wrt m.\nAnswer: 20*m**3 - 1032*m**2*z - 12*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.19 + -12.78. Round r to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 9*i + 18*i - 4*i - 6*i + 95 in the form g*i + f and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 7 + 5 + 3 + 0.\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b - 10. Let g be a(6). Let m be g\/(-16)*(-6)\/(-5). Solve 0 = -m*y + 5*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(-2) + (656\/170)\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -34 - (-6 - 0)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*m + 2 = 0, 123*c = 120*c - 2*m - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*h*o*p + h*o - 40*h - 9*o*p - 78*o + 3 wrt p.\nAnswer: -150*h*o - 9*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l + 30. Calculate the remainder when y(-3) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 4*m - 4. Let x be d(3). Let w be (-2)\/(-5) + x\/10. Suppose -5*f - 36 = -8*f. What is the highest common factor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(3 + 16 - 31)*(-51*a**4 + 3 + 112*a**2 + 105*a**2 - 219*a**2) to the form p + c*a**2 + y*a**4 + d*a**3 + f*a and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8*v = 3*v + 88, 3*v - 204 = -2*z. Suppose -3*u + 35 = -2*m - 53, -z = -4*u + 5*m. What is the lowest common multiple of 12 and u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18401 minus 206473.82?\nAnswer: -224874.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9545671 divided by -24539\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.049*2\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}